Answer:
x = - 1 and x = - 7
Step-by-step explanation:
Given
x² + 8x + 7 = 0 ← in standard form
(x + 1)(x + 7) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 7 = 0 ⇒ x = - 7
rick school is 30 miles from the hostipital. the school and hospital are 3/5inch apart on an online map.the hostipal is 4 inches from the airport on the map. hom far from the hostpital is the airport?
Answer: 200 miles
Step-by-step explanation: 1/5 is equal to 10miles so you 5/5 is 50 miles or 1 inch on the map.
Final answer:
The distance from the hospital to the airport on the map is 18 inches.
Explanation:
To find the distance from the hospital to the airport, we can use the scale of the map. Since the school and hospital are 3/5 inch apart on the map, and the school is 30 miles away from the hospital, we can set up the proportion:
3/5 inch = 30 miles
x inch = distance from hospital to airport
Cross-multiplying, we get 5x = 3 * 30
x = 18
Therefore, the distance from the hospital to the airport is 18 inches on the map.
Y=7 what type of line
Answer:
Horizontal line or the technical name: Zero slope.
Step-by-step explanation:
When graphed, the line comes out horizontally, and horizontal lines are called zero slopes.
Step-by-step explanation:
y = aa - any real number
This is the equation of the horizontal line passing through the points in the form (x, a), where x is any real number.
A slope of a horizontal line is equal 0.
y = 7It's a horizontal line passing through the points in the form (x, 7).
Look at the picture.
by what would you multiply each side of the equation ax=27 to solve x
Answer:
Step-by-step explanation:
ax= 27........I would normally solve this by division....but it says multiply....so multiply both sides by 1/a
example :
3x = 27.....multiply both sides by 1/3
1/3(3/1)x = 27 * 1/3
x = 27/3 which reduces to 9
u have to multiply by the reciprocal of a to get rid of a
Solve. 4y – 3 = 5y + 2
–5
–3
5
45
Answer:
y = - 5
Step-by-step explanation:
Given
4y - 3 = 5y + 2 ( subtract 5y from both sides )
- y - 3 = 2 ( add 3 to both sides )
- y = 5 ( multiply both sides by - 1 )
y = - 5
10 POINTS!!!
13. A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability.
choosing a red chip, then a green chip, then a yellow chip, with replacement
Answer:
shown in steps, either 189/15625 or 63/4600 depends on different situation
Step-by-step explanation:
The answer depends on whether the is chip can be put into bin for next pick,
if it can be put back after first pick.. the possibility will be
total chips: 7 + 9 + 3 + 6 = 25
Red -> green -> yellow 7/25 x 9/25 x 3/25 = 189/15625
If the first time picked chip will not put back for second pick:
7/25 x 9/24 x 3/23 = 63/4600
Answer:
A. [tex]\frac{189}{15625}[/tex]
Step-by-step explanation:
I got it right!!
Which shows the decimals 10.9, 1.09, and 100.09 written in order from least to greatest?
Answer: From least to greatest, we get: 0.6010, 6.010, 6.100. Ordering these decimals from least to greatest we get: 0.601, 6.01, 6.1. Sometimes it is helpful to place a number in a circle to the right of each decimal you are trying to order.
Step-by-step explanation:
what is an equation of the line passing through the points (3,2) and (-1,-14)
We need to find the slope and the y-intercept to get an equation.
slope=change in y/change in x... or "(y2-y1)/(x2-x1)"
slope=(2-(-14))/(3-(-1))=16/4=4
Equation of a line:y=mx+b
Plug in a point and solve for b, the y intercept.
2=4(3)+b
b=-10
Answer: y=4x-10
simplify each expression 1/3^-3
Answer:
27
Step-by-step explanation:
Use exponent laws
1/3^-3 = 3^3 = 27
To the nearest tenth, what is the distance between the point (10, -11) and (-1, -5)
The distance between the points (10, -11) and (-1, -5) is approximately 12.5 units.
Explanation:The distance between two points can be found using the Distance Formula.
The formula is:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the given points (10, -11) and (-1, -5), we can plug the values into the formula:
distance = sqrt((-1 - 10)^2 + (-5 - (-11))^2)
distance = sqrt((-11)^2 + (6)^2)
distance = sqrt(121 + 36)
distance = sqrt(157)
To the nearest tenth, the distance is approximately 12.5 units.
Write as many fractions as you can that are greater than one and less than two, with a denominator of three
Step-by-step explanation:
hwjxh ejdowbvrnrks n.v eveid
A radio station asks its listeners to call in their opinion regarding the closing of fire stations in the city. Identify the sampling method used, and explain why this sample could be biased.
Answer:
A convenience sample is used. The sample could be biased because it limits the population to listeners of that radio station at a certain time. Callers may be more likely to have a strong opinion on the issue.
Answer:
A convenience sample is used. The sample could be biased because it limits the population to listeners of that radio station at a certain time. Callers may be more likely to have a strong opinion on the issue.
Step-by-step explanation:
It limits population to listeners of that radio station at only a particular time
Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max's family spent $146 on 3 adults tickets and 2 youth tickets. What is the price of a youth ticket?
The price of 1 youth ticket is $ 22
Solution:
Let "y" be the price of 1 youth ticket
Let "a" be the price of 1 adult ticket
To find: price of 1 youth ticket
Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park
So we can frame a equation as:
2 adult tickets x price of 1 adult ticket + 3 youth tickets x price of 1 youth ticket = 134
[tex]2 \times a + 3 \times y = 134[/tex]
2a + 3y = 134 ---- eqn 1
Max's family spent $146 on 3 adults tickets and 2 youth tickets
So we can frame a equation as:
3 adult tickets x price of 1 adult ticket + 2 youth tickets x price of 1 youth ticket = 146
[tex]3 \times a + 2 \times y = 146[/tex]
3a + 2y = 146 ----- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "y"
Multiply eqn 1 by 3
6a + 9y = 402 ---- eqn 3
Multiply eqn 2 by 2
6a + 4y = 292 ----- eqn 4
Subtract eqn 4 from eqn 3
6a + 9y = 402
6a + 4y = 292
( - ) -------------------
5y = 110
y = 22
Thus the price of 1 youth ticket is $ 22
A bulletin board has a perimeter of 200 inches. Which equation expresses the area A(w) of the bulletin board as a function of its width, w?
A. A(w) = 100w - w2
B. A(w) = 200w - w2
C. A(w) = w2 – 100w
D. A(w)=w2 - 200w
The equation that expresses the area A(w) of the bulletin board as a function of its width w is A(w) = w².
Explanation:To express the area A(w) of the bulletin board as a function of its width, we need to find the equation that relates the width to the area. Since the perimeter of the bulletin board is given as 200 inches, we can use the formula for the perimeter of a rectangle: P = 2w + 2l, where w is the width and l is the length. Since the bulletin board is assumed to be a rectangle, the length is equal to the width. We can rewrite the formula as 2w + 2w = 200, which simplifies to 4w = 200. Solving for w, we find w = 50.
Now that we know the width, we can express the area A(w) as a function of w. Since the area of a rectangle is given by the formula A = length * width, and the length is equal to the width in this case, we have A(w) = w * w = w².
The correct equation that expresses the area A(w) of the bulletin board as a function of its width w is A(w) = w², which corresponds to option D.
What is the answer ?
Answer:
31415 92653
Step-by-step explanation:
The result of the integral is π. The first 30 digits of π are ...
3.14159 26535 89793 23846 26433 8327 ...
_____
Pi is a transcendental number. Not only is it irrational, but it is not the root of any polynomial with rational real coefficients. It is not a repeating decimal.
PLEASE HELP SOLVE
1.-8p - 7 ≥ - 5 - 5p - 4p p ≥
2.r - 1 ≤ - 8 + 2r r ≥
3.a + 6 < 6 + 2a a >
4.16 - 4x + 1 + 5 < 1 + x + 2x x >
Answer:
1) p > or =3
2)7< or = r
3)a<0
4) 3< x
Step-by-step explanation:
follow on the attached picture
-5q- -9q - -14=2 solve for q
Answer:
q = − 1 \6
Step-by-step explanation:
q = − 0.1 6 ¯ 6
Is this statement true or false?
Slope is calculated by dividing the change in rise by the change in run.
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s statement.
6x + 4y = 14,
3x + 2y = k
Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
The error in Percy's statement is that, the system of equations would have infinite many solutions when k = 7
The system of equations is given as:
6x + 4y = 14,
3x + 2y = k
Multiply the second equation by 2
[tex]3x + 2y = k \to 6x + 4y = 2k[/tex]
Subtract the new equation, from the first equation
[tex]6x - 6x + 4y - 4y =14 -2k[/tex]
[tex]0=14 -2k[/tex]
Collect like terms
[tex]2k = 14[/tex]
Solve for k
[tex]k = 7[/tex]
The above means that:
The system of equations would have infinite many solutions when k = 7
Read more about system of equations at:
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How do I Graph y= –73x+2 .
Answer:
See attachment
Step-by-step explanation:
You can obtain any two points on the graph of [tex]y=-73x+2[/tex] and use it to draw its graph.
When x=0, [tex]y=-73*0+2=2[/tex]
So you plot (0,2)
When x=1, [tex]y=-73*1+2=-71[/tex]
You again plot (1,-71).
With a straight edge you can now draw a straight line through the two points.
See attachment
What is the greatest number of y-intercepts a line can have? Explain
Answer:
infinity
Step-by-step explanation: it keeps going
what is the solution to the equation below? Round your answer to two decimal places. 4*e^x=12.76
Answer:
[tex]x=1.16[/tex]
Step-by-step explanation:
we have
[tex]4(e^x)=12.76[/tex]
Solve for x
That means ---> Isolate the variable x
Divide by 4 both sides
[tex](e^x)=3.19[/tex]
Apply ln both sides
[tex]ln[(e^x)]=ln(3.19)[/tex]
Apply property of logarithms (power rule) left side
[tex](x)ln(e)=ln(3.19)[/tex]
Remember that
[tex]ln(e)=1[/tex]
[tex]x=ln(3.19)[/tex]
[tex]x=1.16[/tex]
Answer:1.16
Step-by-step explanation:
this is correct
(4x+7) and [5(x-4)} what is the value of x
Answer:
The value of x is 27
Complete question and statement:
(4x + 7) = [5(x - 4)} what is the value of x?
Source: Previous question that can be found at brainly
Step-by-step explanation:
Let's solve for x, (4x + 7) = [5(x - 4)]
(4x + 7) = [5x - 20]
4x + 7 = 5x - 20
4x - 5x = - 20 - 7 (Subtracting - 5x and - 7 at both sides)
- x = - 27
x = 27 (Multiplying by -1 at both sides)
The value of x is 27
The total cost to go horseback riding is x dollars per hour plus a $3 fee for renting a helmet. Write an expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each.
The expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each is $ (15 + 10x)
Solution:
Given that The total cost to go horseback riding is "x" dollars per hour plus a $3 fee for renting a helmet.
total cost = $ 3 + "x" dollars per hour
To find: expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each.
Let us first find the total cost for 1 person to horse ride for 2 hours
total cost for 1 person = $ 3 + 2x
Thus to find total cost for 5 people to go horseback riding for 2 hours each is found by multiplying the above expression by 5
Total cost for 5 people = 5 x total cost for 1 person
[tex]\text{ Total cost for 5 people } = 5 \times (3 + 2x)[/tex]
[tex]\text{ Total cost for 5 people } = 15 + 10x[/tex]
Thus the expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each is $ (15 + 10x)
How many times could 6 go into 49
6 goes into 49 8 times with a remainder of 1.
Please help me with this question!
A 2-liter bottle of soda (67.6 ounces) costs $1.89. A case of twelve 12 ounce
cans of the same soda costs $2.99. Calculate the unit price (price/ounce) of each
item and determine which is the better bargain. Explain your answer.
Answer:
The two-liter bottle of soda has a unit price of $0.028/ounce.
The case of twelve 12 ounces has a unit price of $0.021/ounce.
The case of twelve 12 ounce can is the better bargain.
Step-by-step explanation:
A two-liter bottle of soda i.e. 67.6 ounces cost $1.89.
So, the unit price (price/ounces) of this type of soda is [tex]\frac{1.89}{67.6} = 0.028[/tex] dollars per ounce.
Again, a case of twelve 12 ounce cans of the same soda costs $2.99.
So, the unit price (price/ounces) of this type of soda is [tex]\frac{2.99}{12 \times 12} = 0.021[/tex] dollars per ounce.
Therefore, the case of twelve 12 ounce can is the better bargain. (Answer)
What is the lcm of 1 and 5
Answer:
5
Step-by-step explanation:
The LCM of 1 and 5 is 5, as 1 is a factor of all numbers and thus does not change the other number when finding the LCM.
The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both of the given numbers. In the case of 1 and 5, the LCM can be found by simply taking the larger number since 1 is a factor of all integers which therefore, gives the LCM of 1 and 5 as 5. There isn't really a need for a complex calculation because any number multiplied by 1 remains unchanged.
You purchased 6 items at the 2-Dollar Store costing $1.98, $.59, $2.99, $.99, $2.49, and $.49. What is the mean price of your purchased items?
Answer:
$1.58
Step-by-step explanation:
To find the mean price, add up all the prices and divide by the number of items. The mean price of your purchased items is $1.59.
Explanation:To find the mean price of the purchased items, you need to add up all the prices and then divide by the number of items. In this case, you purchased 6 items. So, you add $1.98 + $0.59 + $2.99 + $0.99 + $2.49 + $0.49 = $9.53. Then, you divide $9.53 by 6 to get the mean price which is $1.59.
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What is the value of x?
D x= 2.25
DX = 11.25
0 x = 13
0 x = 22
Answer:
[tex]x=22[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The exterior angle is the sum of the 2 opposite interior angles of a triangle
so
In this problem
[tex](6x+1)^o=79^o+(2x+10)^o[/tex]
solve for x
Combine like terms
[tex]6x+1=89+2x[/tex]
Group terms
[tex]6x-2x=89-1[/tex]
[tex]4x=88[/tex]
divide by 4 both sides
[tex]x=22[/tex]
Solve the system by elimination. −7x+y=−19 −2x+3y=−19
Answer:
x=2, y=-5. (2, -5).
Step-by-step explanation:
-7x+y=-19
-2x+3y=-19
--------------------
-3(-7x+y)=-3(-19)
-2x+3y=-19
----------------------
21x-3y=57
-2x+3y=-19
-------------------
19x=38
x=38/19
x=2
-7(2)+y=-19
y=-19-(-14)
y=-19+14=-5
What is the least number of drops of red, blue, and yellow pigment that Ava
can add to a gallon of white paint so that the custom color consists of 25%
red, 35% blue, and 40% yellow pigment?
Answer:
5 red, 7 blue and 8 yellow
Step-by-step explanation:
Just make a ratio and simplify
Red : Blue : Yellow
25 : 35 : 40
All divisible by 5
5 : 7 : 8
These dont have a common factor so this is the simplest ratio
Therefore the minimum drops Ava can add to a gallon of white paint to have that ratio are 5 red drops, 7 blue drops and 8 yellow drops.