Answer:
her son is 20, Mrs. Johnson is 60
Step-by-step explanation:
if her son is x, Mrs. Johnson is 3x,
Ten years ago,
her son is x-10, Mrs. Johnson is 3x-10,
so:
3x-10=5(x-10)
x=20
Jimmy is trying to factor the quadratic equation $ax^2 + bx + c = 0.$ He assumes that it will factor in the form \[ax^2 + bx + c = (Ax + B)(Cx + D),\]where $A,$ $B,$ $C,$ and $D$ are integers. If $a = 4,$ and Jimmy wants to find the value of $A,$ what are the possible values he should check, in order to find $A$?
If
[tex]ax^2+bx+c=(Ax+B)(Cx+D)[/tex]
then
[tex]ax^2+bx+c=ACx^2+(AD+BC)x+BD[/tex]
[tex]\implies a=AC[/tex]
If [tex]a[/tex] is known and Jimmy wants to find [tex]A[/tex], then he has to know the value of [tex]C[/tex].
Answer:
possible value of A are 1, 2, 4
Step-by-step explanation:
Jimmy is trying to factor the quadratic equation ax^2 + bx + c = 0.
He assumes that it will factor in the form ax^2 + bx + c = (Ax + B)(C x + D)
Given a=4
We need to find the value of A
When we do factoring we use the factors of the numbers
(Ax+B)(Cx+D) is ACx^2 + ADx + BCx + BD
[tex]ax^2 + bx + c =ACx^2 + ADx + BCx + BD[/tex]
When a=4 then AC is also 4
A* C = 4
1 * 4= 4
2 * 2= 4
4 * 1 = 4
So possible value of A are 1, 2, 4
Which property explains why these two expressions are equal?
-5 + (x + 4) = (-5 + 4) + x
A) Associative Property
B) Commutative Property
C) Distributive Property
D) Multiplicative Identity Property what the answer
Answer:
Associative property.
Step-by-step explanation:
Associative property implies that, for instance; no matter how the numbers are grouped in the sum involving (-5, x and 4), the result is the same.
classify the series as arithmetic or geometric then determine whether the series is convergent or divergent
Answer: Geometric , convergent
Step-by-step explanation:
Given sequence is { 12 + ( -8 ) + 16/3 + ( - 32/9 ) + 64/27 + . . . . . . . }
To check whether the sequence is arithmetic , we first find difference of first two terms then find difference of third and second term .
If we get both the difference same , then it is arithmetic .
d₁ = - 8 - ( 12 ) = - 20
16 40
d₂ = ------ - ( - 8 ) = ------------
3 3
Common difference is not same , thus it is not arithmetic .
To check whether sequence is geometric , we divide second by first term and then third by second term . If we get the same ratio , then it is geometric .
-8 - 2
r₁ = ----------- = ----------
12 3
16/3 16 -2
r₂ = ---------- = ---------- = -----------
- 8 3 * ( -8) 3
Thus common ratio is same , so it is geometric .
Now we need to check whether it is convergent or divergent .
We have an infinite geometric series .
It is convergent if | r | < 1 , that is common ratio is less than 1 .
We have | r | = | - 2/3 | = | - 0.66 | = 0.66 < 1 .
Thus the geometric series converges .
Thus given series is geometric , convergent .
Third is the correct option .
Answer:
Convergent and Divergent Sequences and Series Practice.
1. The sequence diverges; the series diverges.
2. geometric, divergent
3. 3/5 and -1/6
Convergent and Divergent Sequences and
Series
1. 1/5 and 2/3
2.geometric, convergent
3. arithmetic, divergent
Step-by-step explanation:
You’re welcome
On a game show, Elena is given the choice of three doors: Behind one door is the Grand Prize; behind the others, consolation prizes. She picks Door A, and the host, who knows what is behind each door, opens Door B, revealing a consolation prize. The host then offers Elena the opportunity to change her selection to Door C. What should she do?
A)She should not accept because the probability of Door A being the Grand Prize increased.
B)She should accept because the probability of Door C being the Grand Prize increased.
C)She could either accept or not accept because now the probabilities of both doors are equal.
D)She could either accept or not accept because the probabilities of the three doors were equal from the beginning.
(I've already tried the last answer (D), It wasn't correct :< )
Answer:
B)She should accept because the probability of Door C being the Grand Prize increased.
Hope you do well on the rest of the test!
Find the coordinates of the orthocenter of △ A B C with vertices A(-3,3), B(-1,7), and C(3,3). You must show all of your steps.
Answer:
( -1,-5 )
Step-by-step explanation:
We have the co-ordinates A( -3,3 ), B( -1,7 ) and C( 3,3 ).
We will find the orthocenter using below steps:
1. First, we find the equations of AB and BC.
The general form of a line is y=mx+b where m is the slope and b is the y-intercept.
Using the formula of slope given by [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex], we will find the slope of AB and BC.
Now, slope of AB is [tex]m=\frac{7-3}{-1+3}[/tex] i.e. [tex]m=\frac{4}{2}[/tex] i.e. [tex]m=2[/tex].
Putting this 'm' in the general form and using the point B( -1,1 ), we get the y-intercept as,
y = mx + b i.e. 1 = 2 × (-1) + b i.e. b = 3.
So, the equation of AB is y = 2x + 3.
Also, slope of BC is [tex]m=\frac{3-7}{3+1}[/tex] i.e. [tex]m=\frac{-4}{4}[/tex] i.e. [tex]m=-1[/tex].
Putting this 'm' in the general form and using the point B( -1,1 ), we get the y-intercept as,
y = mx + b i.e. 1 = (-1) × (-1) + b i.e. b = 0.
So, the equation of BC is y = -x.
2. We will find the slope of line perpendicular to AB and BC.
When two lines are perpendicular, then the product of their slopes is -1.
So, slope of line perpendicular to AB is [tex]m \times 2 = -1[/tex] i.e. [tex]m=\frac{-1}{2}[/tex]
So, slope of line perpendicular to BC is [tex]m \times (-1) = -1[/tex] i.e. m = 1.
3. We will now find the equations of line perpendicular to AB and BC.
Using the slope of line perpendicular to AB i.e. [tex]m=\frac{-1}{2}[/tex] and the point opposite to AB i.e. C( 3,3 ), we get,
y = mx+b i.e. [tex]3=\frac{-1}{2} \times 3 + b[/tex] i.e. [tex]b=\frac{9}{2}[/tex]
So, the equation of line perpendicular to AB is [tex]y=\frac{-x}{2} +\frac{9}{2}[/tex]
Again, using the slope of line perpendicular to BC i.e. m = 1 and the point opposite to BC i.e. A( -3,3 ), we get,
y = mx + b i.e. 3 = 1 × -3 + b i.e. b = 6.
So, the equation of line perpendicular to BC is y = x+6
4. Finally, we will solve the obtained equations to find the value of ( x,y ).
As, we have y = x+6 and [tex]y=\frac{-x}{2}+\frac{9}{2}[/tex]
This gives, [tex]y=\frac{-x}{2}+\frac{9}{2}[/tex] → [tex]x+6=\frac{-x}{2} +\frac{9}{2}[/tex] → 2x+12 = -x+9 → 3x = -3 → x = -1.
So, y = x+6 → y = -1+6 → y=5.
Hence, the orthocenter of the ΔABC is ( -1,5 ).
ILL GIVE BRAINLIEST
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
x y
---------------------------
4 28
6 48
8 72
a.yes,y=2x
b.yes,y=5x
c.yes,y=7x
d.no, y does not vary directly with x
Answer:
Option d is correct.
no , because y does not vary directly with x.
Step-by-step explanation:
Direct variation states that a relationship between any two variables in which one is a constant multiple of the other.
in other way, when one of the variable changes then the other changes in proportion to the first.
If y is directly proportional to x i.e, [tex]y \propto x[/tex]
then the equation is of the form;
[tex]y = kx[/tex] where k is the constant of Variation.
From the table:
Consider any values of x and y:
Let x = 4 and y = 28
then by definition of direct variation solve for k;
28 = 4k
Divide both sides by 4 we get;
k = 7
Then the equation become: y = 7x .....[1]
Check whether the other data follows this equation or not,
x = 6 and y = 48
Substitute in equation [1];
48 = 7(6)
48 = 42 False
Also, for;
x = 8 and y= 72
72 = 7(8)
72 = 56 False
⇒ y= 7x does not follows the data of the given table.
Therefore, y does not vary directly with x.
This is a A-E question! If you could assist me through each part, you will be rewarded brainliest and I'll obviously owe you big time lol! Thanks for your help if you're willing!
We are given that revenue of Tacos is given by the mathematical expression [tex]-7x^{2}+32x+240[/tex].
(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.
(B) Let us factor the given revenue expression.
[tex]-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\[/tex]
Therefore, correct option for part (B) is the third option.
(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.
(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.
(E) The table is attached.
Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.
The lengths of two sides of a triangle are 7 and 11. Which could not be the length of the third side?
5
10
12
19
If a, b and c are the lengths of the sides of a triangle then
if a ≤ b ≤ c, then a + b > c.
5, 7, 11
5 + 7 = 12 > 11 CORRECT
7, 10, 11
7 + 10 = 17 > 11 CORRECT
7, 11, 12
7 + 11 = 18 > 12 CORRECT
7, 11, 19
7 + 11 = 18 < 19 INCORRECT
Answer: 19.Using the Triangle Inequality Theorem, the third side of the triangle must be less than the sum of other two sides and more than the absolute difference of the two sides. With the sides 7 and 11 given, the third side must be more than 4 but less than 18. Therefore, 19 cannot be the length of the third side.
Explanation:In mathematics, particularly in geometry, the length of the third side of a triangle when the lengths of two sides are known, can be determined by using the Triangle Inequality Theorem. This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides. In this case, the lengths of the two sides are given as 7 and 11. The sum of these two lengths is 18.
So the possible length of the third side must be less than 18 but more than the absolute difference of 7 and 11 (which is 4). Hence, the third side can be more than 4 and less than 18. Therefore out of the options provided, the value 19 could not be the length of the third side of the triangle.
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y = 2x + 3
2y = 4x + 6
The system of equations has _____ solution(s).
A.no
B.one
C.infinite
Answer: The second equation (2y=4x+6) can be divided by 2 to get y=2x+3. Since this is the same equation as the first one, there are infinite solutions.
The scale factor of a large oil container to a small oil container is 0.075. The large oil container can carry 144,000cm^3 of oil.
How much oil can the small container carry?
A.) 10,800cm3
B.) 810 cm3
C.) 60.75cm3
D.) 0.075 cm3
The correct Answer is option (A).10,800 [tex]cm^3[/tex] oil can the small container carry.
To determine how much oil the small container can carry, given the scale factor and the capacity of the large container, follow these steps:
1. Identify the given values:
- Capacity of the large container: [tex]\( 144,000 \, \text{cm}^3 \)[/tex]
- Scale factor from large to small container: [tex]\( 0.075 \)[/tex]
2. Calculate the capacity of the small container:
- Use the formula: [tex]\[ \text{Capacity of small container} = \text{Capacity of large container} \times \text{Scale factor} \][/tex]
- Substitute the given values: [tex]\[ \text{Capacity of small container} = 144,000 \, \text{cm}^3 \times 0.075 \][/tex]
3. Perform the multiplication:
[tex]\[ 144,000 \times 0.075 = 10,800 \, \text{cm}^3 \][/tex]
Therefore, the capacity of the small container is:
[tex]\[ \boxed{10,800 \, \text{cm}^3} \][/tex]
The amount of time t (in hours) it takes to complete a certain job varies inversely with the number of workers, w. The constant of variation is 28. Find the time it takes to complete the job when the number of workers is 16.
Answer:
1.75 h
Step-by-step explanation:
t = k/w
k = 28
t = 28/w
If w = 16,
t = 28/16
t = 1.75 h
It will take 16 workers 1.75 h to complete the job.
If the domain of f (x ) = 4 +x2 is {-1, 0, 1, 2}, what is the range?
Answer: y = {5, 4, 8}
Step-by-step explanation:
f(x) = 4 + x²
f(-1) = 4 + (-1)²
= 4 + 1
= 5
f(0) = 4 + (0)²
= 4 + 0
= 4
f(1) = 4 + (1)²
= 4 + 1
= 5
f(2) = 4 + (2)²
= 4 + 4
= 8
Put the values from domain to the equation of the function.
f(x) = 4 + x²
f(-1) = 4 + (-1)² = 4 + 1 = 5
f(0) = 4 + 0² = 4 + 0 = 4
f(1) = 4 + 1² = 4 + 1 = 5
f(2) = 4 + 2² = 4 + 4 = 8
Answer: The range = {4, 5, 8}Which expression is equivalent to 5x - 5x + 3x - 3x?
A) -16x
B) -4x
C) 4x
D) 0 what the answer
Answer:
5x
Step-by-step explanation:
A box is shaped like a cube. The box has a length of 1 foot, a width of 1 foot, and aheight of 1 foot. What is the volume of the box.
Answer:
1 cubic foot
Step-by-step explanation:
Volume = length * width * height
= 1*1*1 = 1 ft^3
The volume of the given box shaped like a cube is 1 cubic foot.
We have given that,
The box has a length of 1 foot, a width of 1 foot, and a height of 1 foot.
What is the formula of the volume?Volume = length * width * height
Volume= 1*1*1
Volume= 1 ft^3
Therefore the volume of the given box shaped like a cube is 1 cubic foot.
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Write the quadratic equation whose roots are 4 and 6, and whose leading coefficient is 2
(Use the letter x to represent the variable)
The required quadratic equation is [tex]2x^{2} -20x+48[/tex].
Given roots of quadratic equation are 4 and 6.
Also given here leading coefficient is 2.
We know that, the formulae for forming quadratic equation when its roots are given is as follows: [tex]x^{2} -(\alpha +\beta )x+\alpha \beta[/tex]
Here [tex]\alpha and \beta[/tex] are the roots of the quadratic equation.
Let [tex]\alpha =4 and \beta = 6[/tex]
Putting the value of [tex]\alpha and\beta[/tex] in the above formulae we get,
[tex]x^{2} -(4+6)x+4\times6[/tex]
[tex]x^{2} -10x+24[/tex]
But remember here 2 is the leading coefficient of the quadratic equation with roots 4 and 6 (given in question),so we have to multiply the equation by 2 to get the final answer.
So, [tex]2(x^{2} -10x+24)[/tex]
[tex]2x^{2} -20x+48[/tex].
Hence the required quadratic equation is [tex]2x^{2} -20x+48[/tex].
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True or false? I'm deductive thinking, you start with a given set of rules and conditions and determine what must be true as a consequence
There are 750 spectators in the stadium of which 420 of them are woman and the rest are man what percent are men
There are 750 spectators in the stadium. 420 of these spectators are women and the rest are men. What percent of the spectators are men.
The fraction [tex]\frac{420}{750}[/tex] represents the number of women in the stadium out of all the 750 people in the stadium. We can subtract 420 from 750 and we will get a difference of 330. Now we know that there are 330 men in the stadium.
The fraction [tex]\frac{330}{750}[/tex] represents the number of men at the stadium out of everyone. To find the percent of men at the stadium, we need to turn [tex]\frac{330}{750}[/tex] into a percent. [tex]\frac{330}{750}[/tex] reduced is [tex]\frac{11}{25}[/tex] because we are dividing both the numerator and denominator by the Greatest Common Factor of 330 and 750 using 30.
11 ÷ 25 = 0.44
0.44 × 100 = 44%
Therefore, 44% of the spectators in the stadium are men.
the power in an electrical circuit is given by the equation p= /2 r, where / is the current flowing through the circuit. what is the current in a circuit that has resistance of 100 ohms and a power of 15 watts?
A. 0.15 amps
B. 0.39 amps
C. 6.7 amps
D.2.6 amps
Answer:
Actually, the equation is
power (in Watts) = I² * r
I - current in amps and r - resistance in watts
Solving this for the current (I)
I = square root (power / resistance)
I = square root (15 / 100)
I = square root (.15)
I = 0.3872983346 amps
answer is B
Step-by-step explanation:
The current in the circuit is approximately 0.39 amperes, which is option B.
The power in an electrical circuit can be calculated using the formula:
P = I^2 * R
Where:
P = Power (in watts)
I = Current (in amperes)
R = Resistance (in ohms)
In your case, you have:
P = 15 watts
R = 100 ohms
You want to find the current (I), so rearrange the formula to solve for I:
I = sqrt(P / R)
I = sqrt(15 watts / 100 ohms)
I = sqrt(0.15 A^2)
I = 0.39 A (approximately)
So, the current in the circuit is approximately 0.39 amperes, which is option B.
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The local gym charges members a monthly fee of $50 plus an additional $2 every time you want to use the pool. Let p represent the number of times you used the pool in one month and C represent the total cost for your monthly membership. Write an equation to find the total cost of your monthly membership to the gym.
Answer:
50+2p=C
Step-by-step explanation:
Answer: Our required equation to find the total cost of his monthly membership to the gym would be [tex]C=50+2p[/tex]
Step-by-step explanation:
Let C be the total cost for your monthly membership.
Let p be the number of times you used the pool in one month.
Cost of every time he want to use the pool = $2
Monthly fee = $50
According to question, it becomes,
[tex]C=50+2p[/tex]
Hence, our required equation to find the total cost of his monthly membership to the gym would be [tex]C=50+2p[/tex]
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
Factor x^2 + 25 in the complex numbers.
Answer: C
Step-by-step explanation:
x² + 25
= x² - (-25)
This can now be factored using the sum & difference formula:
a² - b² = (a - b)(a + b)√x² = x
√-25 = 5i
So, x² - (-25) = (x - 5i)(x + 5i)
West and Company uses the LIFO method to calculate inventory values. Their beggining inventory consisted of 200 units at a cost of $9.00 each. Purchases included 300 units at $10.00 each on February 18
Answer:
The total inventory is 200 + 300 + 400 + 100 = 1000.
Step-by-step explanation:
If 300 units remained, the we calculate the cost of the 700 sold via LIFO. These 700 units include the 100 units at $12.00, the 400 units at $11.00, and 200 units at $10.00 (out of the 300 purchased). This is a total cost of 100*12 + 400*11 + 200*10 = 1200 + 4400 + 2000 = $7600.
Bruce rented a motorcycle for a friend. The cost of renting a bike for one day can be represented by: 75 + 0.14m Where m is the number of miles traveled. Label each part of the expression:
•The daily rental rate for the bike:
•The cost per mile the shop will charge to rent:
•The cost in mileage for 1 day of travel:
Answer:
The daily rental rate is 75 dollars
The cost per mile is .14
The cost for the mileage is .14m
The total cost per day is .14m+75
Step-by-step explanation:
cost = 75 + 0.14m
Let's rewrite this in the form
y= mx+b
where m is the slope and b is the y intercept
cost = .14m +75
The daily rental rate is 75 dollars
The cost per mile is .14
The cost for the mileage is .14m
The total cost per day is .14m+75
Indicate the method you would use
Answer:
correct choice is 1st option
Step-by-step explanation:
Two given triangles have two pairs of congruent sides: one pair of length 7 units and second pair of length 8 units. The third side is common, i.e the lengths of third sides are equal too.
Use SSS theorem that states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
Thus, given triangles are congruent by SSS theorem.
What is the ratio of soccer balls to footballs?
A) 1 : 3
B) 2 : 4
C) 3 : 1
D) 4 : 2
Why might where you live be a factor in determining your utility costs?
Answer:
Well some places are more expensive. This will effect the prices of utilities because some places have a higher expense of living because of the lack of certain materials or because of the desirable location. For example, although living in Hawaii was beautiful, it was extremely expensive for everyday items because most things needed to be shipped and because of constant tourism.
The factor for dependency of Utility Cost shown below.
What is Utility Cost?The cost of using utilities like power, water, waste disposal, heating, and sewage is known as a utilities expense. During the reporting period, the costs are incurred, computed, and accumulated for, or a payment is made.
Given:
Due to climate and fluctuating utility prices, location might affect your utility expenditures. The expense of heating would be higher in an extremely cold climate than in a warmer one.
Certain locations are more pricey. The cost of utilities will be impacted because some regions have a greater cost of living due to a shortage of specific materials or a desirable location.
For instance, even though Hawaii was a wonderful place to live, the cost of basic necessities was very high due to the frequent tourism and the fact that the majority of goods had to be shipped.
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PLEASE HELP! 37 POINTS!!!
A group of adults plus one child attend a movie at a movie theater. Tickets cost $10 for adults and $5 for children. The total cost for the movie is $85. Enter an equation to find the number of adults in the group.
Answer:
8 adults
Step-by-step explanation:
The proper equation to find the number of adults is as follows...
(1 x 5) +(10x) = 85
Since there is only one child will will have 1 ticket for a child. hint ( 1 x 5)
Since we need to find the total number of adults at the movie group we will put (10x)
Since the total cost is 85 we will have it equal to $85
Now time to solve
5 + 10x = 85
first subtract 5 from both sides ( 5 - 5 ) and ( 85 - 5 )
10x=80
Now divide both sides by 10 ( 10x/10 ) and 80/10
x=8
So there are 8 adults.
The length of a rectangle is 7 feet. If the perimeter is 42 feet, what is the width of the rectangle
The perimeter of a rectangle is found by multiplying the length by 2 and then adding that to the width multiplied by 2.
The length is 7, multiplied by 2 = 7x2 = 14.
Subtract that from the total perimeter:
42 - 14 = 28
The length of the 2 widths is equal to 28, to find the length of 1 width, divide that by 2:
Width = 28 / 2 = 14
The width is 14 feet.
TO MAKE CHEESECAKE, U NEED ABOUT TWO AND A HALF POUNDS OF CREAM CHEESE . HOW many pounds of cream cheese do u need to make 2 chesseckes
A car travels at an average speed of 45 miles per hour for 8 miles, reduces its speed by 15 miles per hour for the next 4 miles, and then returns to a speed of 45 miles per hour. How long does the car travel at the reduced speed?
Answer:
8 minutes
Step-by-step explanation:
time = distance/speed
A decrease of 15 mph from 45 mph means the speed on the second segment is 30 mph. Filling in the given values in the above equation, we have ...
... time = (4 mi)/(30 mi/h) = 4/30 h = 8/60 h × (60 min/h) = 8 min
Part 1
Solve 1/2 + 1/2x = x^2 − 7x+10/4x by rewriting the equation as a proportion. Which proportion is equivalent to the original equation?
Answer is C) x+1/2x = x^2-7x+10/4x
*****
Part 2
Name the true solution(s) to the equation
Answer: x = 1 and x = 8
Name the extraneous solution(s) to the equation.
Answer: x = 0
Answer:
Part 1. [tex]\dfrac{x+1}{2x}=\dfrac{x^2-7x+10}{4x}.[/tex]
Part 2. Solutions: [tex]x_1=1,\ x_2=8.[/tex]
Extraneous solution: [tex]x=0.[/tex]
Step-by-step explanation:
Part 1. You are given the equation
[tex]\dfrac{1}{2}+\dfrac{1}{2x}=\dfrac{x^2-7x+10}{4x}.[/tex]
Note that
[tex]\dfrac{1}{2}+\dfrac{1}{2x}=\dfrac{x+1}{2x},[/tex]
then the equation rewritten as proportion is
[tex]\dfrac{x+1}{2x}=\dfrac{x^2-7x+10}{4x}.[/tex]
Part 2. Solve this equation using the main property of proportion:
[tex]4x\cdot (x+1)=2x\cdot (x^2-7x+10),\\ \\2x(2x+2-x^2+7x-10)=0,\\ \\2x(-x^2+9x-8)=0.[/tex]
x cannot be equal 0 (it is placed in the denominator of the initial equation and denominator cannot be 0), so [tex]x=0[/tex] is extraneous solution to the equation.
Thus,
[tex]-x^2+9x-8=0,\\ \\x^2-9x+8=0,\\ \\x_{1,2}=\dfrac{9\pm\sqrt{(-9)^2-4\cdot 8}}{2}=\dfrac{9\pm7}{2}=1,\ 8.[/tex]
Part A: i forgot the question but i know its the third option (c)
Part B:
Solve the original equation by solving the proportion.
The solutions are: (1,6)
Part c:
Name the extraneous solution(s) to the equation
answer: Neither
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