the vertex of this parabola is at (-5, 4). which of the following could be it’s equation?

Answers

Answer 1

Answer:

y = -(x + 5)^2 + 4

Step-by-step explanation:

I'm 8 years old and I know how to do this.


Related Questions

what is the quotient of the equation Below in simplest form? State any restrictions on the variable

Answers

Answer:

A

Step-by-step explanation:

Factor the numerators/ denominators where possible, that is

[tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] ÷ [tex]\frac{(x-5)(x+3)}{(x+4)(x+1)}[/tex]

Leave the first fraction, change division to multiplication and turn the second fraction upside down.

= [tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] × [tex]\frac{(x+4)(x+1)}{(x-5)(x+3)}[/tex]

Cancel the factors (x - 5) and (x + 4) from numerator/denominator

= [tex]\frac{-1}{(x-1)}[/tex] × [tex]\frac{(x+1)}{(x+3)}[/tex]

= [tex]\frac{-(x+1)}{(x-1)(x+3)}[/tex] , x ≠ 1, x ≠ - 3

A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?

Answers

Answer:

[tex]\frac{7\pi}{4}[/tex].

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = [tex]56\pi\text{ cm}^2[/tex]

Formula for area of sector is

[tex]A=\dfrac{1}{2}\theta r^2[/tex]

where, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.

[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]

[tex]56\pi=\dfrac{64}{2}\theta[/tex]

[tex]56\pi=32\theta[/tex]

[tex]\dfrac{56\pi}{32}=\theta[/tex]

[tex]\dfrac{7\pi}{4}=\theta[/tex]

Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].

Is this an expression or an equation ?

Answers

Answer: expression

Step-by-step explanation: An equation is a mathematical sentence that contains an equal sign. Since this problem contains no equal sign at all, it can't be an equation so it's considered an expression.

what is the answer to -12= -2x-4x

Answers

Answer:

x = 2

Step-by-step explanation:

-12 = -2x - 4x

-12 = - 6x

x = -12/(-6) = 2

Answer:

Step-by-step explanation:

A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With the level ground for a secure footing. Find, to the nearest inch, how far the base of the latter should be from the side of the building and how far up the side of the building the latter will reach.

Answers

Answer:

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle [tex]\triangle ABC[/tex] is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, AC = 10 foot

Also, we are given that angle made by the base of ladder with the ground is [tex]72^\circ[/tex].

We have to find AB and BC.

[tex]\angle BAC = 72^\circ[/tex]

Using trigonometric functions:

[tex]cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches[/tex]

[tex]sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches[/tex]

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

Find the number of square units in base and height for each triangle.

Answers

Answer:

a. base = 5 units; height = 4 units

b. base = 1 unit; height = 4 units

c. base = 1 unit; height = 4 units

Step-by-step explanation:

a. Count the bottom which is the base, which is 5, the height, or h would be the units or squares up which would be 4.

b. Count the only 1 on the bottom which then, base would be 1 because there is only one on the bottom, the rest is going diagonally so it doesn't count as the base. The height would be 4 because there are 4 units up.

c. Again, only 1 unit on the bottom so the base is one again, and 4 as the height again because of how much units high it is.

The only difference from b. to c. is that c. is having a different angle than b, but they are both the same!

I hope this helps!

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct????The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.

Answers

Answer:

It's the second description

Step-by-step explanation:

It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.

Answer:

The correct answer is the 2nd option

Step-by-step explanation:

A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?

Answers

Answer:

50 liters

Step-by-step explanation:

If x is the volume of 20% acid, then:

x (0.20) + 20 (0.45) = (x + 20) (0.30)

0.2x + 9 = 0.3x + 6

3 = 0.1x

x = 30

30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.

What is the reciprocal of 3/4?
2
4/3
3/4
1/4 lb
none of the above

Answers

The reciprocal of 3/4 is 4/3.

Hope it will be helpful to u

The answer is 4/3. The reciprocal is just that opposite which is flipped around.

An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides
the same height as the square sides but twice their length. The total area of the five sides 15 2,592 in?.
Find the volume of the aquarium. Complete the explanation of your reasoning.
Let x represent the length and height of the square sides. Then the longer sides and the bottom measure
2x by x. The total area of the five sides, in terms of x, is A =____
So, the total area of the five sides,
A, is 2,592 in2. Solving for x we get x =____
The tank's volume is ____
in squared?

Answers

Answer:

volume = 11,664 units cubed

Step-by-step explanation:

2[tex]x^{2}[/tex] times 3 = bottom and sides

[tex]x^{2}[/tex] times 2 = ends

A = 6[tex]x^{2}[/tex] + 2[tex]x^{2}[/tex] = 8[tex]x^{2}[/tex]

2592 = A

2592/8 = 8[tex]x^{2}[/tex]/8

324 = [tex]x^{2}[/tex]

take square root of both sides

18 = x

so volume = length times width times height

2(18) times 18 times 18 = 11664

11664 units cubed

Which is the coldest temperature? Explain how you determined this using the number line.

Answers

Answer:

The coldest temperature would be -4 °F, because it is the farthest number on the left side of zero on the number line.

please help im having trouble with these problems​

Answers

Answer:

B I think

Step-by-step explanation:

How is the distributive property used when multiplying two binomials

Answers

Answer:

Step-by-step explanation:

When multiplying a binomial times a binomial, each term of the first binomial must be multiplied by each term of the second binomial. Like terms are then combined.

When multiplying two binomials, four multiplications must take place. These multiplications can occur in any order, as long as each of the first two terms is multiplied by each of the second two terms.

There are numerous ways to set up the multiplication of two binomials. The two basic formats, horizontal line-up and vertical line-up, are similar to what we saw in adding and subtracting polynomials. Let's investigate the simple product (x + 2)(x + 4) with a variety of set-ups. Start with the first term of the first binomial (the blue x).

• Distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).

• Then take the second term in the first binomial (including its sign: +2) and distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).

• Add the results, combining like terms when needed.

• This method will work with all polynomials, not just binomials times binomials.

Answer:

Distributive.

Step-by-step explanation:

I did the quiz.

50 POINTS FOR THIS 1 QUESTION I JUST NEED THE ANSWER

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!

Answers

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

On Monday, a restaurant made $545 by selling 109 hamburgers.
If they sold 95 hamburgers on Tuesday, how much money did they make?
(Show your work below.)

Answers

Answer:

$475

Step-by-step explanation:

$545 / 109 = $5

$5 is the one hamburgers price

$5 x 95 = $475

$475 on Tuesday

Point L was plotted at (-4, 1), then L was transformed creating point L’ at (-1, -4).Which transformation rule could have been used to plot L’?
Reflection across the x-axis
a 180 degree rotation about the origin
A 270 degree rotation counterclockwise rotations about the origin
A translation using the rule (x,y) -->(x+3, y -5)

Answers

Answer:

you would go down 2 from the point

Step-by-step explanation:

What is the first quartile, Qı, of the data set?
{23, 28, 28, 36, 56, 60, 61, 65, 70}
Enter your answer in the box.
Q1
---

Answers

Answer:

28

Step-by-step explanation:

take the median of the data set which is 56 and then take the median of the numbers before 56

28 is the median Q1 is 28

Answer:

28

Step-by-step explanation:

First step is to find the median of the data set.

The median is the middle value of the data arranged in ascending order. If there is not an exact value then it the average of the values either side of the middle.

23  28  28  36  56  60  61  65  70

                          ↑ median

The first quartile [tex]Q_{1}[/tex] is the middle value on the left side of the median.

23  28  28  36

          ↑

[tex]Q_{1}[/tex] = [tex]\frac{28+28}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28

 

The graph of the function f(x) is shown
Which graph represents the function 4(2x)?

Answers

Answer:

[tex]8x[/tex]

Step-by-step explanation:

[tex]4 \: time \: 2x = 8x[/tex]

hannah made 0.7 of her free throws in a basketball game.abbrahmade 9/10 of her free throws.dinah made 3/4 of her free throws. who is the best shooter. EXPLAIN!!

Answers

Answer:

Abbrah is the best shooter.

Step-by-step explanation:

Hannah made 0.7 which is equal to 70 out of 100 shots.

Dinah made 3/4 which is equal to 75 out of 100 shots.

Abbrah made 9/10 shots which is equal to 90 out of 100 shots.

Answer:

Abbrah is the best shooter

Step-by-step explanation:

There are 6 yellow card, 3 blue cards, 4 pink cards and 7 purple cards in a hat. What is the probability of selecting a purple card, then another purple card? Give answers as reduced fraction and percent.

Answers

Answer:

7/20 = 0.35

Step-by-step explanation:

write an equation that represent the line. ASAP !!!!!! 40 POINTS + BRAINLIEST

Answers

Answer:

y = (3/2)x + 3

Step-by-step explanation:

slope is rise over run so 3 up and, 2 right

y-intercept is at (3,0)


What is the inverse function of f(x) = 4x + 3?

Answers

Answer:

f(x)=(x-3)/4

Step-by-step explanation:

To find the inverse of a function, I like to flip the x and the y, and then try to isolate the y. In this case:

x=4y+3

x-3=4y

y=(x-3)/4

Hope this helps!

f-1(x)=x-3/4 that is the answer hope it helps

In ΔIJK, the measure of ∠K=90°, the measure of ∠J=76°, and JK = 3.6 feet. Find the length of IJ to the nearest tenth of a foot.

Answers

This is my answer
Hope it help!

Please help! Its one of my last! Will give brainliest.
A polygon plotted on the coordinate plane has 6 vertices. What is the shape of the polygon? *

Answers

Answer:

hexagon

Step-by-step explanation:

A hexagon has six vertices. Hope that this helps you and have a great day

Answer:

Hexagon

An object that has six vertices will form a Hexagon on a coordinate plane

hi what is the answer

Answers

Answer:

A= 36π mm²

Step-by-step explanation:

Area of circle = πr² where radius= 6mm

A = π(6)²

A= 36π mm²

What is the surface area of this figure?

Answers

Answer:

328

Step-by-step explanation:

What is the median for 1,2,4,6,4

Answers

4 is the median. Please mark as brainlist.

Answer:

4

Step-by-step explanation:

How many 9’s are there between 1 and a 100?

Answers

Answer:

11

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

You've got 9

19

29

39

49

59

69

79

89

And then all of the numbers in the 90s

90, 91, 92, 93, 94, 95, 96, 97, 98, 99

99 counts as two

You are assigned a computer generated 4-digit password to access your new voice mail account. If the
digits can not be repeated, how many passwords are possible?
b
34 different passwords are possible
5,040 different passwords are possible
40 different passwords are possible
10,000 different passwords are possible
d

Answers

Answer:

5,040 different passwords are possible

Step-by-step explanation:

Assuming that 4-digit means using only numeric values.

This is a permutations problem.

n = number of values used with number values only this is 10

r = the number used in each case without repeating in this case 4

nPr = n! / (n - r)!

nPr = 10! / (10-4)!

nPr = 10! / 6!

The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24

A quick hack for dividing factorials is to use cancelling.

10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)

= 5040

What is 3 1/2 times 2 4/5​

Answers

Answer:

9 4/5

Step-by-step explanation:

You can rewrite them into decimal. It would be 3.5 times 2.8 and you get 9.8 or 9 4/5

Answer:

49 /5  = 9.8

Step-by-step explanation:

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