Answer:
$1,475
Step-by-step explanation:
times 100 by 14 which is 1400
but then add 75 onto that
Answer:
$1475
Step-by-step explanation:
One week costs $100.
Note that:
The $75 enrollment fee is a one-time payment.
$100 per week is the amount that is paid per week, and can change depending on the amount of week they pay for.
In this case, the child would be there for 14 weeks. Set the equation. Let x = amount of weeks, and t = total cost:
100x + 75 = t
We know that the child will be there for 14 weeks, so plug in 14 for x.
(100)(14) + 75 = t
t = (100 * 14) + 75
Simplify. Remember to follow PEMDAS. Multiply first, then add:
t = (1400) + 75
t = 1475
The total cost for 14 weeks is $1475.
~
Graph the system of equations to find the solutions of x3 + 6x2 - 40x = 192.
y = x3 + 6x2 - 40x
y = 192
Answer:
The solutions are: x=6. x=-4 and x=-8.
Step-by-step explanation:
The solution to the system of the equation is going to be given by the points where the graphs of:
y = x3 + 6x2 - 40x AND y = 192 intercept.
By looking at the graph, we can deduce they intercept at three points:
(-8, 192), (-4, 192) and (6, 192).
Another way to verify this, is by solving the following system of equations:
x3 + 6x2 - 40x - 192 = 0
Factorizing, we get:
(x-6)(x+4)(x+8) = 0
Where we can clearly see that the solutions are: x=6. x=-4 and x=-8.
Answer:
A -8
B -4
D 6
Step-by-step explanation:
Correct on EDGE
What is the solution to 3 times the square root of 4 minus 2 times the square root of 4? A. 0 B. 1 C. 2 D. 3
For this case we have the expression:
"the square root of 4" is represented algebraically as:
[tex]\sqrt {4}[/tex]
Then, we can express the given statement as:
[tex]3 \sqrt {4} -2 \sqrt {4} =[/tex]
They are similar terms, we can subtract:
[tex]3 \sqrt {4} -2 \sqrt {4} = \sqrt {4} = \sqrt {2 ^ 2}[/tex]
By definition of power properties we have that:
[tex]\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a[/tex]
Then the expression is reduced to:
[tex]\sqrt {2 ^ 2} = 2[/tex]
Answer:
[tex]3 \sqrt {4} -2 \sqrt {4} = 2[/tex]
The height, h, in feet of a golf ball above the ground after being hit into the air is given by the equation, h = -16t 2 + 64t, where t is the number of seconds elapsed since the ball was hit. How many seconds does it take for the golf ball to hit the ground?
Answer: 4 seconds
Step-by-step explanation:
We have the equation that models the height of the golf ball in feet after being hit.
When the ball reaches the ground its height is equal to zero.
Then to solve this problem you must equal h to zero and solve the equation for the variable t
[tex]h = -16t^2 + 64t=0[/tex]
[tex]-16t^2 + 64t=0[/tex]
Take 16t as a common factor
[tex]-16t(t - 4)=0[/tex]
The equation is equal to zero when t = 0 and when t = 4
t = 0 is at the instant in which the ball has just been hit and t = 4 seconds is the instant in which the ball touches the ground.
Then the answer is t=4 seconds
A line intersects the point (-8,-1)and has a slope of 1/4.what is the slope-intercept equation for this line?
ANSWER
[tex]y = \frac{1}{4}x+1[/tex]
EXPLANATION
The slope-intercept equation of a straight line is of the form
[tex]y = mx + b[/tex]
Where 'm' is the slope and 'b' is the y-intercept.
From the question we have slope to be
[tex]m = \frac{1}{4} [/tex]
We substitute the slope into the slope-intercept equation and obtain:
[tex]y = \frac{1}{4}x + b[/tex]
To find the value of 'b' we plug in the point (-8,-1) into our current equation.
[tex] - 1= \frac{1}{4}( - 8)+ b[/tex]
[tex] - 1= - 2+ b[/tex]
[tex] - 1 + 2 = b[/tex]
[tex]1 = b[/tex]
[tex]b =1 [/tex]
The complete equation is
[tex]y = \frac{1}{4}x + 1[/tex]
Write the expression -3x2 + 2y2 + 5xy - 2y + 5x2-3y2 in simplest form. Then, answer the following questions using
complete sentences.
a. How many terms are in the simplified expression?
b. How many of the terms in the simplified expression are negative?
WRITER
Answer: 2x^2-y^2+5xy-2y
a. There is four terms in the simplified expression.
b. Two terms in the simplified expression are negative.
Step-by-step explanation:
Write the expression like an addition/ subtraction problem.
-3x²+2y²+5xy-2y
+5x²-3y²
_________
This makes it easier to identify what to combine for like terms.
Final answer:
The simplified expression is 2x² - y² + 5xy - 2y. There are two negative terms in the simplified expression: -y² and -2y.
Explanation:
To simplify the expression -3x² + 2y² + 5xy - 2y + 5x² - 3y², we need to combine like terms. The like terms are the ones that contain the same variables to the same power. Here’s a step-by-step explanation:
Combine -3x² and +5x² to get +2x².Combine +2y² and -3y² to get -y².The terms +5xy and -2y do not have like terms, so they remain unchanged.The simplified expression is 2x² - y² + 5xy - 2y.
Now, to answer the question about the number of negative terms: in the simplified expression, there are two negative terms, which are -y² and -2y. A term is considered negative if it has a minus sign in front of it, indicating that it is less than zero when all other variables are considered to be positive.
Given the equation 10x + 20y + 40 = 0, Find it’s gradient and intercept
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange the given equation into this form
10x + 20y + 40 = 0 ( divide all terms by 10 to simplify )
x + 2y + 4 = 0 ( subtract x + 4 from both sides )
2y = - x - 4 ( divide all terms by 2 )
y = - [tex]\frac{1}{2}[/tex] x - 2 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex] and y- intercept c = - 2
Create an equivalent system of equations using the sum of the system and the first equation.
−5x + 4y = 8
4x + y = 2
A) −5x + 4y = 8
9x + 5y = 10
B) −5x + 4y = 8
−x + 5y = 10
C) −5x + 4y = 8
9x + 5y = 2
D) −5x + 4y = 8
−x + y = 10
Answer:
B) {-5x + 4y = 8
{-x + 5y = 10
Step-by-step explanation:
Add like it said, and you will see your answer.
Answer:
Option B
[tex]-5x+4y=8[/tex]
[tex]-x+5y=10[/tex]
Step-by-step explanation:
We are given that
System of equations
[tex]-5x+4y=8[/tex]
[tex]4x+y=2[/tex]
We have to find an equivalent system of equations using sum of system and first equations
Sum of system of equations
[tex]-5x+4y+4x+y=8+2[/tex]
[tex]-x+5y=10[/tex]
Therefore, option B is true.
Can you pls help me pls?
[tex]\dfrac{16}{7x+4}+A=\dfrac{49x^2}{7x+4}\\\\A=\dfrac{49x^2}{7x+4}-\dfrac{16}{7x+4}\\\\A=\dfrac{49x^2-16}{7x+4}\\\\A=\dfrac{(7x-4)(7x+4)}{7x+4}\\\\A=7x-4[/tex]
[tex]\bf \stackrel{~~~~~~~~\textit{is equivalent}}{\cfrac{16}{7x+4}+A~~=~~\cfrac{49x^2}{7x+4}}\implies \stackrel{\textit{cross-multiplying}}{\cfrac{16~~\begin{matrix} (7x+4) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 7x+4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}+A(7x+4)=49x^2} \\\\\\ 16+A(7x+4)=49x^2\implies A(7x+4)=49x^2-16\implies A=\cfrac{49x^2-16}{7x+4}[/tex]
[tex]\bf A=\cfrac{7^2x^2-4^2}{7x+4}\implies A=\cfrac{\stackrel{\textit{difference of squares}}{(7x)^2-4^2}}{7x+4}\implies A=\cfrac{(7x-4)~~\begin{matrix} (7x+4) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 7x+4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A=7x-4~\hfill[/tex]
1. The price of a TV is $3,435. Which of
the following shows the values of the
two 3s in this price?
A 300; 3
B 30; 3
C 3,000; 3
D 3,000; 30
The correct option that shows the values of the two 3s in the price $3,435 is D) 3,000; 30
In the given price, $3,435, the first 3 represent the thousand place value, while the second 3 represents the one's place value.
The comma in option D indicates the separation of thousands, so it correctly represents the first 3 as part of the thousands place value.
The number 30 in option D represents the second 3 as part of the one's place value.
Therefore, option D) 3,000; 30 is the choice that correctly shows the values of the two 3s in the price $3,435.
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2. Find the products:
(1) (-2) * 3 * (-4)
(iv) 8 x 7*(-10)
Anyone please help . Who will answer Mark as the brainliest. Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help its urgent will be given 20 points
Answer:
24
-560
Step-by-step explanation:
(1) (-2) * 3 * (-4)
A negative time a negative is a positive
2*3*4 = 24
(iv) 8 x 7*(-10)
This result will be negative since there are positive times negative
8*7 =56* 10 = 560
8*7* (-10) = -560
Expand and Simplify (x+3)(x+5)
[tex](x+3)(x+5) =x^2+5x+3x+15=x^2+8x+15[/tex]
[tex]x^2+8x+15[/tex]
Explanation:Use the FOIL method of multiplying binomials.
First term in each binomial: [tex]x*x=x^2[/tex]
Outside terms: [tex]x*5=5x[/tex]
Inside terms: [tex]3*x=3x[/tex]
Last term in each binomial: [tex]3*5=15[/tex]
Add them all together. [tex]x^2+5x+3x+15[/tex]
Simplify. [tex]x^2+8x+15[/tex]
Please help explain to me please I want to learn thank you so much
Answer:
2p
Step-by-step explanation:
Take a trip back to simple division. What's 12/6? If you put 12 p's evenly into 6 piles, how many p's are in each pile?
2
Therefore, the answer is 2p.
How and why does 2x – 3 = -(3 – 2x )?
Answer:
Because the negative in the front cancels out the other neg.
Step-by-step explanation:
Answer:
-(3 - 2x ) = -3 + 2x = 2x - 3
Step-by-step explanation:
If you expand the brackets in -(3 - 2x) by multiplying all numbers by -1 (the negative symbol in front of the brackets represents negative 1 just without the 1)
Thus you get -3 + 2x.
Then rearranging the equation by swapping the 2x with the -3 you get 2x - 3.
Axis of symmetry of f(x)=(x+3)^2-8
ANSWER
[tex]x = - 3[/tex]
EXPLANATION
When a quadratic equation is in the vertex form,
[tex]f(x) = a {(x - h)}^{2} + k[/tex]
the equation of axis of symmetry is simply
[tex]x = h[/tex]
The given quadratic equation is
[tex]f(x) = {(x + 3)}^{2} - 8[/tex]
We can rewrite this as
[tex]f(x) = {(x - - 3)}^{2} - 8[/tex]
We now compare to
[tex]f(x) = a {(x - h)}^{2} + k[/tex]
We have
[tex]h = - 3 \: \: \: and \: \: k = - 8[/tex]
Therefore equation of axis of symmetry is:
[tex]x = - 3[/tex]
Solve this quadratic equation using the quadratic formula. x^2 - 6x + 6 = 0
Answer:
Step-by-step explanation:
x= 6± √(6)^2-4(1)(6) /2(1)
=6± √12 /2
=6± 2√3 /2
=3± √3
Answer: The required solution of the given quadratic equation is
x = 3 + √3 and x = 3 - √3.
Step-by-step explanation: We are given to solve the following quadratic equation using quadratic formula :
[tex]x^2-6x+6=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Quadratic formula : The solution of a quadratic equation of the form [tex]ax^2+bx+c=0,~a\neq 0[/tex] is given by
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
For the given quadratic equation (i), we have
a = 1, b = -6 and c = 6.
Therefore, the solution of equation (i) is given by
[tex]x\\\\\\=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\\=\dfrac{-(-6)\pm\sqrt{(-6)^2-4\times 1\times6}}{2\times1}\\\\\\=\dfrac{6\pm\sqrt{36-24}}{2}\\\\\\=\dfrac{6\pm\sqrt{12}}{2}\\\\\\=\dfrac{6\pm2\sqrt{3}}{2}\\\\=3\pm\sqrt3.[/tex].
Thus, the required solution of the given quadratic equation is
x = 3 + √3 and x = 3 - √3.
Which graph shows all the values that satisfy 2/9 x+3 >4 5/9
Answer: A) 7 o---------------→
Step-by-step explanation:
[tex]\dfrac{2}{9}x+3>4\dfrac{5}{9}\\\\\\\text{Subtract 3 from both sides:}\\\\\dfrac{2}{9}x>1\dfrac{5}{9}\\\\\\\text{Convert the mixed number into an improper fraction:}\\\\\dfrac{2}{9}x>\dfrac{14}{9}\\\\\\\text{Multiply both sides by }\dfrac{9}{2}\text{ to isolate x:}\\\\x>\dfrac{14}{9}\times \dfrac{9}{2}\\\\\\\text{Simplify (cancel out the 9's and factor out a 2:}\\\\x>7[/tex]
The graph will have an open dot at 7 and the arrow will point to the right.
7 o--------->
Answer:
A
Step-by-step explanation:
EDGE 23
are and circumfrence of a circle with radius 4 inches
Answer:
area = 50.27 sq inches
circumference = 25.14 in
Step-by-step explanation:
given radius r = 4 in
area = πr² = 3.142 x 4² = 50.27 square inches
circumference = 2πr = 2 x 3.142 x 4 = 25.14 inches
What is the equation of the line written in general form?
-x + y - 2 = 0
x+y - 2 = 0
2x+y - 2 = 0
Answer:
x + y - 2 = 0
Step-by-step explanation:
First, set the equation equal to 2 by moving 2 to the other side of the equation to get x + y = 2, then move -x over to the other side to end up with y = -x + 2. The reason being is because the rate of change [slope] is -1. Simply do rise\run until you hit another endpoint, starting from your y-intercept. As you can see, you go two blocks south, then go two blocks over east. Now, if when you look carefully, you will see that -2\2 = -1. This is the simplification of the slope. Do you understand?
Please help Geometry
Answer:
Volume = 784*pi
Step-by-step explanation:
We are given the height and radius of cylinder
So,
Radius = r = 7
Height = h = 16
The formula for finding volume of cylinder is:
[tex]Volume=\pi r^{2} h\\Putting\ in\ the\ values\ of\ r\ and\ h\\Volume=\pi *(7)^{2}*16\\V=\pi *49*16\\V=784\pi [/tex]
Answer:
Volume of cylinder = 784 cubic units
Step-by-step explanation:
Points to remember
Volume of cylinder = πr²h
Where r - Radius of cylinder and
h - Height of cylinder
To find the volume of cylinder
It is given that,
radius r = 7 units and height h = 16 units
Volume of cylinder = πr²h
= π * 7² * 16
= 784 cubic units
Therefore Volume of cylinder = 784 cubic units
Find the missing factor B that makes the equality true
42x^5y^4=(-7x^3y)(B)
Answer:
-6x^2 y^3 = B
Step-by-step explanation:
42x^5y^4=(-7x^3y)(B)
Solve for B
Divide by -7
42x^5y^4/-7=(-7x^3y)(B)/-7
-6 x^5 y^4 = x^3 y B
Divide by x^3
-6 x^5 y^4/x^3 = x^3 y B/x^3
-6 x^5/x^3 y^4 = By
-6 x^2 y^4
Divide by y
-6x^2 y^4/y = By/y
-6x^2 y^3 = B
Write an equation of the direct variation that includes the point (9, -12).
Answer:
[tex]y=-\frac{4}{3}x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
step 1
Find the value of k
we have
the point (9,-12)
x=9, y=-12
[tex]k=y/x[/tex]
substitute
[tex]k=-12/9=-4/3[/tex]
step 2
Find the equation
[tex]y=kx[/tex]
so
[tex]y=-\frac{4}{3}x[/tex]
Solve 2x - 1 < 7 and 5x + 3 < 3.
Step-by-step explanation:
2x-1 <7
2x <7+1
2x/2 <8/2
x <4
5x+3 <3
5x <3-3
5x <0
x <0
The solution of the given inequalities is x < 0.
What is inequality ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
We have,
2x - 1 < 7
And
5x + 3 < 3.
Now,
Take 2x - 1 < 7 ,
Now,
Rearrange variable terms to the left side of the equation,
i.e.
2x < 7 + 1
2x < 8
We get,
x < 4
Now,
Take 5x + 3 < 3,
Now,
Rearrange variable terms to the left side of the equation,
i.e.
5x < 3 - 3
5x < 0
We get,
x < 0
So,
The intersection of the two solution will give us the solution to the system of inequalities, i.e.
x < 0 is the solution to the inequalities.
Hence, we can say that the solution of the given inequalities is x < 0.
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What is the slope of the line passing through the points (1, 2) and (5, 4)?
Answer:
[tex]\frac{1}{2}[/tex] , or the first option
Step-by-step explanation:
The formula to find the slope of a line is [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]. It doesn't matter which set of coordinates is (x₁,y₁), as long as you make sure you put them in the right places.
(x₁,y₁) = (1,2)
(x₂,y₂) = (5,4)
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] Plug in your numbers
[tex]\frac{4 - 2}{5 - 1}[/tex] Simplify
[tex]\frac{2}{4}[/tex] Simplify
[tex]\frac{1}{2}[/tex]
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (5, 4)
m = [tex]\frac{4-2}{5-1}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
What is the total surface area of the square pyramid
Answer:
The formula is a^2+2a+ sqrt a^2+h^2
Step-by-step explanation:
a=base edge
h=height
Answer:
The formula is A=a²+2a(√a^2 )/4+h²
Step-by-step explanation:
solve for d -4c+3d=8e
Hey there! :)
-4c + 3d = 8e ; solve for d.
In order to solve for d, you must isolate it (get it onto its own side). So, let's start off by adding 4c to both sides.
-4c + (-4c) + 3d = 8e + (-4c)
Simplify.
3d = 8e - 4c
Then, divide both sides by 3.
3d ÷ 3 = (8e - 4c) ÷ 3
Simplify.
d = 8/3e - 4/3c
Therefore, [tex]d = \frac{8}{3} e -\frac{4}{3} c[/tex]
if x does not equal 0, then u/x+5u/x-u/5x=
Answer:
[tex]\frac{29u}{5x}[/tex]
Step-by-step explanation:
If 'x' does not equal 0 then:
[tex]\frac{u}{x}+\frac{5u}{x}-\frac{u}{5x}[/tex] ⇒ [tex]\frac{6u}{x}-\frac{u}{5x}[/tex]
⇒ [tex]\frac{29u}{5x}[/tex]
Then, the solution is: [tex]\frac{29u}{5x}[/tex]
What is the absolute value of -72?
Answer:
72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
Absolute value is the distance a number is from 0.
For example, look at the following number line.
<-|-------|--------|---------|---------|----------|---------|->
-6 -5 -4 -3 -2 -1 0
The absolute value of -6 is 6 since the number -6 is 6 digits away from 0.
So likewise if:
|-6| = 6
[keep in mind that this symbol ---> | | is the absolute value symbol]
then:
|-72| = 72
Since -72 is 72 digits away from 0.
I hope this helps! :)
PLS HELP ME!!!the base length of a triangle is 12 ft and the height is 6 ft. what is the area of the triangle.
a. 10 sq. ft
b. 12 sq. ft
c. 18 sq. ft
d. 36 sq. ft
Answer:
d. 36 sq. ft
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 (12) * 6
A = 36 ft^2
Nosaira solved an equation. Her work is shown below:
3(2x + 1 ) = 2(x + 1) + 1
6x + 3 = 2x + 2 + 1
6x + 3 = 2x + 3
4x = 0
x = 0
She determines the equation has no solution.
Which best describes Nosaira’s work and answer?
Answer:
Making it the answer A
Step-by-step explanation:
What is the value of 5 in 3590
Answer:
Hundreds
Step-by-step explanation:
The value of 5 is given based on the place value in which it is located.
The 5 is located in the "hundreds" place value, and so Hundreds is your answer.
Place value:
3: Thousands
5: Hundreds
9: Tens
0: Ones