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The function below has at least one rational zero. Use this fact to find ALL zeros of the function.

g(x)=5x^3+x^2-20^x-4

If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.

Answer:

135 in.

Step-by-step explanation:

Point-slope formula: y-y1=m(x-x1)

To fill it in, m is our slope, 1/4. y1 is -8 and x1 is -1.

y+8= 1/4(x+1) This is the formula filled in. If you noticed, the (-) signs that were in the formula changed to (+). This is because (- -) can be changed into (+).

y+8=1/4x+0.25

y=1/4x+8.25

Your answer is y=1/4x+8.25

I hope this was helpful :) please consider giving me brainliest

Answer: 35

Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome

Answer:

35

Step-by-step explanation:

got it right

Answer:

-65a -21 "that is the simplified version"

Answer:

-65a - 21

Step-by-step explanation:

7 ( -9a - 3 ) -2a

Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,

7 ( -9a - 3 ) - 2a

-63a - 21 - 2a

Simplify

-65a - 21

Answer:

theres no picture

Step-by-step explanation:

Answer:

your question is quite different. I do not understand properly

Answer:

18

Step-by-step explanation:

8+(2)(5)

=18

Answer:

18

Step-by-step explanation:

8 + (2×5)

=8 + 10

= 18

hope this will help you ☺✌

Answer: C

Step-by-step explanation: it is c trust me

Answer:   Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.

Step-by-step explanation:

If you are asking what they equal up too, your answer is 16

If this isn't, please correct me and I will give you a better answer

Answer:

r=1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5r−−17r−4r−9=9

5r+17r+−4r+−9=9

(5r+17r+−4r)+(−9)=9(Combine Like Terms)

18r+−9=9

18r−9=9

Step 2: Add 9 to both sides.

18r−9+9=9+9

18r=18

Step 3: Divide both sides by 18.

18r/18 = 18/18

r=1

Answer:

D.

Step-by-step explanation:

m<F = m<B - Corresponding Angles Theorem

m<B + m<A = 180 - Adjacent Angles Theorem

180 - 105 = m<A

75 = m<A; therefore, m<A = 75.

Answer:

D.

Step-by-step explanation:

Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.

Answer:

A polynomial function f of least degree  = f = x³ - 7x² + 36

The function in standard form = f = x³ - 7x² + 36

Step-by-step explanation:

As given, Leading coefficient of polynomial function = 1

Also given, zeroes of the function = -2, 3, 6

for root -2 : (x - (-2)) = (x + 2)

for root 3 : ( x - 3)

for root 6 : (x - 6)

Therefore, the polynomial function becomes -

f = 1(x+2)(x-3)(x-6)

⇒f = (x+2)(x² - 6x - 3x + 18)

⇒f = (x+2)(x² - 9x + 18)

⇒f = x³ - 9x² + 18x + 2x² - 18x + 36

⇒f = x³ - 7x² + 36

The polynomial function in standard form is [tex]f(x) = x^3 - 8x^2 +9x +18[/tex]

The zeros of the polynomial are given as:

[tex]Zeroes = -2,3,6[/tex]

Rewrite as:

[tex]x= -2,3,6[/tex]

Express the zeroes as an equation

[tex]x= -2[/tex],  [tex]x =3[/tex] and [tex]x =6[/tex]

Equate to 0

[tex]x + 2 = 0[/tex], [tex]x -3 = 0[/tex] and [tex]x -6 = 0[/tex]

Multiply the equations

[tex](x + 1) \times (x - 3) \times (x - 6) = 0 \times 0 \times 0[/tex]

[tex](x + 1) \times (x - 3) \times (x - 6) = 0[/tex]

Expand

[tex](x^2 - 3x + x - 3) \times (x - 6) = 0[/tex]

[tex](x^2 - 2x - 3) \times (x - 6) = 0[/tex]

Expand

[tex]x^3 - 2x^2 - 3x -6x^2 +12x +18 = 0[/tex]

Collect like terms

[tex]x^3 - 2x^2 -6x^2 - 3x +12x +18 = 0[/tex]

[tex]x^3 - 8x^2 +9x +18 = 0[/tex]

Express as a function

[tex]f(x) = x^3 - 8x^2 +9x +18[/tex]

Hence, the function in standard form is [tex]f(x) = x^3 - 8x^2 +9x +18[/tex]

Read more about functions at:

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Answer:

80 %

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if you write a long list:111122333344555555566666677777888 you can see the number that occurs the most is 5.

Answer:

e3x

Step-by-step explanation:

Answer:

1 1/4 miles

Step-by-step explanation:

Answer:...

-4+8x+2xy

Step-by-step explanation:

Answer:

Step-by-step explanation: Angle A is 45 degrees so it represents 1/8 of a rotation. so it has a measure π/4 rads. Angle B is 90 degrees so it represent 1/4 of a rotation. so it has a measure of π/2 rads. Angle C represents 180 degrees so that represent 1/2 of a rotation so it has a measure of π rads. Angle D is 270 degrees so it represents 3/4 of a rotation . Therefore, Angle D has a measure of  6π/4.

The for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.

The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.

From the figure attached:

Angle A represents 1/8 of a full rotation. Therefore, Angle A has a measure of π/4 radians.  

Angle B represents 1/4 of a full rotation. Therefore, Angle B has a measure of π/2 radians.  

Angle C represents 1/2 of a full rotation. Therefore, Angle C has a measure of π radians.  

Angle D represents 3/4 of a full rotation. Therefore, Angle D has a measure of 6π/4 radians.

Thus, the for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.

Learn more about the angle here:

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Answer:

Step-by-step explanation:

1232 oz flour × (1 loaf)/(12 oz flour) = 102 loaves remainder 8 oz flour

Answer:

314.5

2252.5

250

Step-by-step explanation:

Answer:

the multiplicative rate of change for the exponential change is 3

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

0.25 * 200 = 50

25% of 200 is 50

Answer:

50

Step-by-step explanation:

25% of 100 is 25 so add another 100 so u have to add 25

The required length of FH is obtained as 64.68.

Two triangles are said to be similar when either the ratio of their corresponding sides are equal or all the corresponding angles are equal.

Two similar triangles are the same in shape but not in size.

The given diagram shows two similar triangles as ΔFGH and ΔKJH.

Since the ratios of the corresponding sides of the two triangles are equal, the following equation can be written for the given case as,

(x + 8)/32 = (4x - 25)/52

=> 52(x + 8) = 32(4x - 25)

=> 52x - 128x = -32 × 25 - 52 × 8

=> -76x = -1716

=> x = 22.42

Thus FH = 4x - 25 = 4 × 22.42 - 25 = 64.68

Hence, the length of FH for the given case is 64.68.

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Answer:

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

Step-by-step explanation:

We use the central limit theorem to solve this question:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.46, n = 2000[/tex]

So

Mean: [tex]\mu = p = 0.46[/tex]

Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively

The formula for calculating the standard deviation for a sample proportion is given as:

[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]

Note that p = mean = 0.46

To get the standard deviation:

[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]

Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.

Learn more on sample proportion here https://brainly.com/question/22985943

Answer:

1=1

2=43

3=44

Step-by-step explanation:

the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together

Answer:

113

Step-by-step explanation:

divide the volume with the length