WILL GIVE BRILLIANTIEST
A refreshment stand makes 2 large servings of frozen yogurt from 7 pints. Graph the line and then write
Its equation. Let the x-axis represent the number of pints and the y-axis represent the number of
servings. Use only fractional form, if necessary.
10
Servings
8
7
6
4
2
1
Pints
$
1
2
4
IN
8
9
10
2
The equation isy =


Answer:

[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=-4x^5-8x^3+12x[/tex]

And we want to finds its zeros.

Therefore:

[tex]0=-4x^5-8x^3+12x[/tex]

Firstly, we can divide everything by -4:

[tex]0=x^5+2x^3-3x[/tex]

Factor out an x:

[tex]0=x(x^4+2x^2-3)[/tex]

This is in quadratic form. For simplicity, we can let:

[tex]u=x^2[/tex]

Then by substitution:

[tex]0=x(u^2+2u-3)[/tex]

Factor:

[tex]0=x(u+3)(u-1)[/tex]

Substitute back:

[tex]0=x(x^2+3)(x^2-1)[/tex]

By the Zero Product Property:

[tex]x=0\text{ and } x^2+3=0\text{ and } x^2-1=0[/tex]

Solving for each case:

[tex]x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}[/tex]

Therefore, our real and complex zeros are:

[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]

Answer:

a = 42

Step-by-step explanation:

2a + 16 + 80 = 2a + 96

2a + 96 = 180

2a = 84

a = 42

Answer:

49

Step-by-step explanation:

7^2=49

Answer:

10

Step-by-step explanation:

i just kno it if it's not 10 it -11 okkkkkk

Answer:

x=15

Step-by-step explanation:

side PQ =side QR

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

Answer:

Idont know

Step-by-step explanation:

Answer:

ur answer is b

Step-by-step explanation:

ur welcome

Answer:

$74.9

Step-by-step explanation:

A tax of 7 percent was added to the product to make it equal to $74.9.

I hope this helps! ^^

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Answer:12

Step-by-step explanation:

Answer:

(x + 5)^2 = (5 - 3)^2

Step-by-step explanation:

Given the equation;

x^2 + 10x + 22 = 13

We have;

x^2 + 10x = 13 - 22

x^2 + 10x = -9

Adding half of 10 to both sides and completing the square as usual, we have;

(x + 5)^2 = 5^2 + (-9)

(x + 5)^2 = (5 - 3)^2

Answer:

21.7

Step-by-step explanation:

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

21.7

Step-by-step explanation:  

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

The answer is (-3,7/2)

Step-by-step explanation:

[tex]2 {x}^{2} - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \: \: \: or \: \: x + 3 = 0 \\ x = \frac{7}{2} \: \: and \: x = - 3[/tex]

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Answer:

x = 3

y = 60°

Step-by-step explanation:

The given parameters of the figures are;

The sum of the interior angles of each polygon (quadrilaterals) = 360°

Quadrilateral ABCD = Quadrilateral HGEF

∴ ABCD ≅ HGEF

Therefore;

Segment AB ≅ Segment HG, by Corresponding Sides of congruent polygons are congruent

∴ The length of segment AB = 3 ft. = The length of segment HG = x ft.

∴ 3 ft. = x ft.

x = 3

Similarly, we have;

∠A + ∠B + ∠C + ∠D = 360° Given

∠B = 100°, and ∠D = 70° Given

∴ ∠A + ∠C = 360° - (∠B + ∠D) = 360° - (100° + 70°) = 190°

∠A + ∠C = 190°

∠A ≅ ∠G and ∠C ≅ ∠E Corresponding angles of congruent polygons are congruent

∴ ∠A = ∠G and ∠C = ∠E By definition of congruency

∴ ∠A + ∠C = ∠G + ∠E = 190° by transitive property

∠G = (2·y + 2)°, and ∠E = (y + 8)° Given

∴ ∠G + ∠E = (2·y + 2)° + (y + 8)° = (3·y + 10)° = 190°

3·y = 190° - 10° = 180°

y = 180°/3 = 60°

y = 60°

The value of x and y are 3 feet and 72 degrees respectively

From the given quadrilaterals, the sum of adjacent angles is 180 degrees.

Hence from figure;

y + 8 + 100 = 180

y + 108 = 180

y = 180 - 108

y = 72degrees

Similarly;

m<D = mG = 70 degrees.

AB = GH = 3 feet

Hence the value of x and y are 3 feet and 72 degrees respectively

Learn more on Angle in a quadrilateral here: https://brainly.com/question/10975107

Answer:

2 real roots and 1 imaginary roots

Step-by-step explanation:

f(x) = [tex](x-a)(x-b)^{2} (x^{2}+c)[/tex]

There are only 2 real roots and one imaginary roots.

Separate the equation into sections because the function is a multiplication with no outside sum or substraction:

Real Roots:

[tex](x-a)[/tex] = 0 when x = a

[tex](x-b)^{2}[/tex] = 0 when x = b

Imaginary roots:

[tex](x^{2}-c)[/tex] = 0 when x = [tex]\sqrt{-c}[/tex]

Answer: 8

Step-by-step explanation:

4x8= 32

32x8= 256

256x8= 2048

Answer:42

Step-by-step explanation:

16+16+10

Answer:

Let the Dulcina's collection be 'x'

Let the Tremaine collection be 'x-39'

x + x - 39 =129

2x = 129 +39

2x = 168

x = 168/2

x = 84

Dulcina's collection = x = 84

Tremaine's collection = x - 39 = 84 - 39 = 45

Answer:3p=42 (p=14)

Step-by-step explanation:

Since there are 3 cookies in each pack you would need to divide.

Answer:

From left column to right

Left                             Right

1. 23a+18                         1. 7a-6

2. 23a-6                           2. 7a-18

3.  23a-18                             3. 7a+6

4. 0a+4                               4. 0a+0

Step-by-step explanation:

The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3

Answer is 15a+6+8a+12=

23a+18

Hope this helped :)

Answer:

y ≈ 12.3

Step-by-step explanation:

Using the SOH CAH TOA identity to get the value of y as shown;

sin theta = opposite/hypotenuse

opposite = y

hypotenuse = 15cm

theta = 180-(35+90)

theta = 180-125

theta = 55 degrees

sin 55 = y/15

y = 15sin55

y = 12.287

y ≈ 12.3 (to the nearest tenth)

Answer:

Product of 2,4,6 is 48❤️❤️❤️❤️

Answer:

1200:800

Step-by-step explanation:

1200÷3=400

400×2=800

800 laptops

Answer:

800 Laptops

Step-by-step explanation:

3:2 = 1200:x

I first divide 1200 with 3 because that is the ratio of the students. WE can see that 1200/400 equals 3. So if I multiply 2 times 400, then we get 800 Laptops.

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance ran by Rebecca be D = 21 miles

The time taken by her to travel 21 miles T = 5 hours

So , the speed of Rebecca S = D / T

On simplifying , we get

S = 21/5

S = 4.2 miles per hour

Therefore , the speed of Rebecca is 4.2 miles / hour

Now , let the time taken be T₂ = 2 hours

So , the distance traveled in 2 hours , D = ST₂

D = 4.2 x 2

D = 8.4 miles

Hence , the distance traveled is 8.4 miles

To learn more about speed click :

https://brainly.com/question/19930939

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Answer:

y=3/4x-4

Step-by-step explanation:

The form is y=mx+b so isolate y

-4y=16-3x

y=-16/4-3x/-4

y=3/4x-4

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope intercept form: y = mx + b

3x - 4y= 16

-4y = 16 - 3x

4y = -16 + 3x

y = -4 + 3/4x

y = 3/4x - 4

Answer:

2 x 25 (50)

3 x 25 (75)

Step-by-step explanation:

Answer:

Vertical compression

Step-by-step explanation:

g(x)=0.25f(x), if you substitute for f(x) you get B

Answer: x = 20

Step-by-step explanation:

The angle is 90 degrees so we can make an equation

with it.

3x + 10 + x = 90

Combine like terms

4x + 10 = 90

subtract 10 from both sides to cancel it out

4x = 80

Now divide by 4 to leave x by itself

x = 20

Now you can check if it's correct by plugging in x to the equation given

3(20) + 10

60 + 10

70

20 + 70 = 90 degrees

Answer:

D: 20 degrees

Step-by-step explanation:

First, we add 3x+10 and x together because they are within a right angle, which is 90 degrees. This gives the equation 4x+10=90. We solve from here.

We subtract 10 from both sides to isolate the x-variable. 90 minus 10 equals 80. This gives us the equation 4x=80. To further isolate the x-variable, we divide both sides by 4. 80 divided by 4 equals 20.

This leaves us with x=20.

Hope this helped!

Answer:623

Step-by-step explanation: