Answer:
y = 8(x + 2)^2 + -15
Step-by-step explanation:
Factor out the leading coefficient.
y = 8(x2 + 4x) + 17
Form a perfect-square trinomial.
y = 8(x2 + 4x + 4) + 17 + -32
Write in vertex form.
y = 8(x + 2)^2 + -15
Answer:
4, -32
Step-by-step explanation:
Mr. Hughes recently planted a crop of money trees in his garden
Solve to find the value for x in the linear equation: 36-4x + 5) = 12
CIE
1 Use the distributive property:
2 Use the subtraction property of equality
3. Division property of equality:
3(-4x) + 3(5) = 12
-12x + 15 = 12
- 12x + 15 - 15 = 12 - 15
-12x = -3
Intro
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given expression:
3(-4x + 5) = 12
To solve for x;
Use the distributive property to open the parentheses;
3(-4x) + 3(5) = 12
-12x + 15 = 12
then, add -15 to both sides;
-12x + 15 + (-15) = 12 + (-15)
-12x = -3
divide both sides by -12;
[tex]\frac{-12x}{-12}[/tex] = [tex]\frac{-3}{-12}[/tex]
x = [tex]\frac{1}{4}[/tex]
-2 2/3 - (- 1/3) =
.......
You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts, and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts, and one shirt for $52. How much does each item cost?
Answer: Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
Step-by-step explanation:
Let x= cost per pair of jeans
y = Cost per pair of shorts
z= cost per shirt.
For you, total cost = x+4y+2z= 84
For your friend, total cost = 2x+y+3z=76
For cousin, total cost = x+2y+z= 52
Required system:
[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]
from (i), [tex]x=84-4y-2z[/tex] (*)
put this in (ii) and (iii) we get
[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]
from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]
[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]
[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]
[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]
[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]
[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]
[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]
Hence, x= 20, y= 12 , z=8
So, Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
I’ve cram shop sold 501 cones. They sold 501 cones. They sold 1/2 as many chocolate as vanilla. Write and equation & solve the problem.
Answer:
i want some kitty Kat
What is 212 tens / 10
Answer:
212 ones
Explaination:
If you have 212 tens and trade them all for ones, hence the ÷10, you'll get 212 ones.
400 STUDENTS OUT OF 2000 at a school are surveyed. 50 said they play a sport at the high school. Predict the
number of students in the population (the entire school) that would answer similarly.
25
2500
250
0.125
HURRY PLEASE!!!!!!!
Answer:250
Step-by-step explanation:
a company took 59 employees to a management conference across the country. Each round trip plane ticket cost $799. What was the total amount needed to take the employees to the conference?
Answer:
47,141
Step-by-step explanation:
I'm pretty sure that's right. Hope I helped <3
Answer:
Its this $47,141
The rental fee for space at a flea market is $200 per month base rate
plus an additional $10 for each square yard of floor space beyond the
standard area of 12square yards. The total fee can be modeled using the
equation in the box, where "F" represents the fee, and "x" represents the
number of square yards rented beyond the standard area. What is the
most reasonable meaning of the number 10 in this equation?
Answer:
anor soi sena orka uzumo senda?
Polynomials question.
PLEASE EXPLAIN YOUR ANSWER
Answer:
9x^2-24x+16
Step-by-step explanation:
(3x-4)(3x-4)
FOIL
9x^2-12x-12x+16
9x^2-24x+16
Communities A,B and C are faced with acute water problem. The distance between communities A and B is 5km and that of A and C 7km. The angle between path AB and AC is 45degrees. If a well is dug for the three communities such that it would have equal distance to the path linking each communities. (a) Indicate by a way of sketching the exact place to dig the well? (b) Measure the distance between communities B and C?
Answer:
a) by finding the incentre
b) 5 km
Step-by-step explanation:
Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .
a) the in center point can be used to have equal distance to the path linking each communities.
We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.
Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.
This is the incentre which is equidistant from each vertex.
b) Using Pythagorus theorem
c² = a² + b²
7²= 5² + b²
b²= 24
b= 4.89= 5 km
The path between B and C is also 5 km.
the soccer team is selling bags of popcorn
Answer:
3p +2c greater than 120. 120∠ 2c + 3p
Step-by-step explanation:
I think this is your answer but, i'm not so sure.
Find the GCF of 6 and 15 using lists of factors.
Answer:
gcf of 6 and 15 is 3
Step-by-step explanation:
multiples of 6 are 6, 12, 18, 24, 30, 36, 42, and 48
multiples of 15 are 1, 2, 3, 6, 9, 18
Answer plsssssssssssssss
Answer:
i can't see the full question
Step-by-step explanation:
Step-by-step explanation:
Okay, so we know that exponents mean a number times itself.
Numerator: 4x4x4x4x4x4x4= 16,384
Denominator: 4x4x4x4x4= 1,024
Now, since it is a fraction, we divide the two.
16,384/1,024= 16
Thus, your answer is 16 ;)
Use the Distributive Property and mental math to find the product. 5 x 49 8 x 56
Answer:
The answer is 139,440Step-by-step explanation:
5x498x56=139,440
A 5 minute overseas call costs $5.91 and a 10 minute call costs $10.86. The cost of the call and the length of the call are related. What is the cost, c, of a call in minutes duration?
Answer:
For one minute it costs $1.18 so you would just multiply $1.18 by any number to find out how much money is spent for minuets,
Step-by-step explanation:
The length of a rectangle is 4 times its width. Write three different expressions to describe its perimeter. Explain how you wrote each expression.
Answer:
2(4x+x)
Step-by-step explanation:
Which of these values could be the slope of the line? Select two options.
–2
0
3
Answer:
3
Step-by-step explanation:
The slope is positive since it goes from the bottom left to top right so 3 is the only choice
Answer: 3
Step-by-step explanation:
The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).
Mr. Lee had 45 friction books. He gave 2 books to each
student. He has 1 remaining book. How many students does he
have?
Answer:
He has 22 students
Step-by-step explanation:
45 divided by 2 is 22 with 1 left over
e is 5 more than d.
f is 7 less than d.
Work out
e-f
Simplify your answer.
Answer:
12+2d
Step-by-step explanation:
e=5+d
f=d-7
e-f = 5+d-(d-7)
e-f = 12+2d
The solution of expression e - f is,
⇒ e - f = 12 + 2d
We have to given that,
e is 5 more than d.
And, f is 7 less than d.
Hence, It can be written as,
e is 5 more than d.
⇒ e = 5 + d
And, f is 7 less than d.
⇒ f = d - 7
So, We get;
e - f = (5 + d) - (d - 7)
Combine like terms,
e - f = 12 + 2d
Therefore, The solution of expression e - f is,
⇒ e - f = 12 + 2d
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Helpp!!!!! What is the solution to the system of equations graphed below?
someone help me im gonna fail science plsfjidkl
Answer:
it is either 23 or 24 its kinda hard to tell.
Step-by-step explanation:
Answer:
15 degrees
Step-by-step explanation:
If 5x kilos of carrots cost php 900.00 pesos, how much is the price per kilo?
Answer:
180 pesos
Step-by-step explanation:
divide 900 by 5
1. 1) Simplify the following expression: 5b - 5 - 12b - 7
Step-by-step explanation:
Here is your answer in the screen shot please check there
subtraction property of equality
Yo ! I need help serious
Answer:
$400
Step-by-step explanation:
If you go to the left of the graph from the line, it gets you to 400.
Answer:
$400
Step-by-step explanation:
Brett, who is 5 ft tall, is standing next to a flag pole. Brett's shadow is 8 feet long. The flag
pole's shadow is 24 feet long. How tall is the flag pole?
Answer:
15 is the answer
Answer:
15
Step-by-step explanation:
Multiply the length of the flagpole's shadow by your height, and then divide the resulting number by the length of your shadow.
(24x5)/8
120/8
15
please mark as brainliest!!!
Amy regularly works 20 hours per week at Smiths Dry
Cleaners Monday through Friday. She earns $10.10 per
hour and receives double-time pay for working nights. This
week Amy worked her regular 20 daytime hours plus an
additional 8 nightime hours.
What will her total pay be for the week? Round your answer
to the nearest cent.
$
15.50 x 20 = $310
31 x 8 = $248
310 + 248 = $558
Her total pay for the week is $558.
Hope you got a good grade!!! :)
−24 − (18 ÷ 6) × (−12)
Answer:
12
Step-by-step explanation:
Answer:
The expression is equal to 12.
Step-by-step explanation:
[tex]-24-(18 / 6)*(-12)[/tex]
First of all, compute the parenthesis.
18 / 6 = 3
Now, replace 18/6 with 3 in our expression.
[tex]-24-(18 / 6)*(-12)[/tex]
[tex]-24-(3)*(-12)[/tex]
Next, compute the multiplication.
-12 * 3 = -36
Again, we'll replace that multiplication with negative 36:
[tex]-24-(3)*(-12)[/tex]
[tex]-24-(-36)[/tex]
Since subtracting a negative number is the same as adding a positive number:
[tex]-24-(-36) = -24+36[/tex]
Compute the addition:
[tex]-24+36=12[/tex]
[tex]-24-(18 / 6)*(-12) = 12[/tex]
Answer: The expression is equal to 12.
Help!!!! I don’t really understand sloped so any help would be helpful.
Answer: The slope is -2.
Step-by-step explanation:
Since the line is going through the origin it means that if you find a point on the line and divided the y coordinate of point by it's x coordinate then you will get the slope or the constant change value.
The equation of a proportional line says that y = kx where k is the slope.
And to find k, you will divide y by x.
One point that is located on the line is (-1,2) The y coordinate is 2 and the x coordinate is -1.
Divide 2 by -1 to find the slope.
2/-1= -2
This means the slope is -2.