According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

Answer:

2 1/2

Step-by-step explanation:

Answer:

36 cups

Step-by-step explanation:

You only have ⅛ measuring cup. Now, since you need 4½ teaspoons of butter, the number of ⅛ measuring cups needed to achieve that will be;

4½ ÷ ⅛ = 9/2 × 8/1 = 36 cups

Thus, you will need 36 number of ⅛ cups

Answer:

It seems like John is trying to find the mean, or average.

Green is 82

blue is 320

red is 4

Step-by-step explanation:

82 is the score John must get to have the average of 80

320 is the number you must divide by 4 to get 80

Answer:

1. 19.375 inches taller

2. 8.808 km farther

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.19.375

2.8.808

for the reasoning you just show that you subtracted

Answer:1/7

Step-by-step explanation:2/7 is the remainder of the leftover 5/7. Half of 2 is one, leaving u with 1/7.

Step-by-step explanation:

a)1.8kg=1.8*1000=1800g

b)6toys=1800

1toy=300g

c)4toys=4*300=1200g=1.2kg

Answer:

j=6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

13-7=6

Answer:

$613.80

Step-by-step explanation:

7% of 660 = 0.07 × 660 = 46.2

660 - 46.2 = 613.80

Answer: 4 whole miles and 1/3 of an additional mile

Step-by-step explanation:

13/3=4 1/3

Answer:

4 whole miles and 1/3 of an additional mile

Step-by-step explanation:

13\3=4 1\3

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x  =  1 /9

Decimal Form:

x  =  0. 1111111111111111111111111

Hope this helps! Have a great day!

Answer:

4

Step-by-step explanation:

Formula for area of hexagon is ((3*square-root 3)/2)*a^2.

Answer:

Total Area = 1070 m^2

Step-by-step explanation:

we have 4 different surfaces

1. the ramp

[tex]A_r = 15\times 30\\\\A_r = 450[/tex]

2. the triangles

since they are the same we just multiply by two

[tex]A_t = \frac{8\times 10}{2}\\\\A_t = \frac{80}{2}\\\\A_t = 40[/tex]

so the areas of the two triangles is

[tex]2A_t = 2(40)\\\\2A_t = 80[/tex]

3. the bottom rectangle

[tex]A_{bot} = 10\times 30\\\\A_{bot} = 300[/tex]

4. the back rectangle

[tex]A_{back} = 8\times 30\\\\A_{back} = 240[/tex]

now add them together

[tex]A_T=A_r+2A_t+A_{bot}+A_{back}\\\\A_T = 450+80+300+240\\\\A_T = 1070\: m^2[/tex]

Answer:

Step-by-step explanation:

We are to multiply the expression (7y^3/5)(6x+5/21y)

(7y^3/5)(6x+5/21y) = 7 * y * y * y/5 * 6x+5/21y

(7y^3/5)(6x+5/21y)  = y²/5 * 6x+5/3

(7y^3/5)(6x+5/21y) = y²(6x+5)/5*3

(7y^3/5)(6x+5/21y) = y²(6x+5)/15

Hence the product is y²(6x+5)/15

Answer:

the correct answer would be d

Step-by-step explanation:

just took the test

Answer:

The table is proportional all throughout the numbers except for the ratio 6:16

The ratio 6:16 should be 6:18

Answer:

49 2 will be the answer

Step-by-step explanation:

when will u send me request in fb

Answer:

p = 49

hope it's helpful ❤❤❤❤❤

THANK YOU.

Answer:

21

Step-by-step explanation:

Can I have brainliest:)

Answer:

7 x 24

8 x 1

=

168/8= 21

Answer:

[tex]f^{-1}[/tex](x)=[tex]10^{-x+2}[/tex]+1

Step-by-step explanation:

Answer:

24 cubic inches

Step-by-step explanation:

Whenever you are finding the volume you have to multiply by two plus a number times two. For example, since there is two depths, you have to multiply 3 by 2 plus the next number. Then, since there is two sides, you multiply 5 by 2 plus the next number. Finally, since there is only one base, you don't have to multiply by two.

(3×2)+(5×2)+8=24

Hope I explained well enough for you to understand.

Answer:

Please check the attached diagram.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Analysis of y = - 3x + 2

Given the linear function

y = - 3x + 2

comparing with the slope-intercept form y = mx+b

The slope m = -3

The negative slope indicates that as the line on the line graph moves from left to right, the line falls.

In other words, the negative slope indicates that when x increases, y decrease, and vise versa.

Please check the attached graph of the function y = - 3x + 2. It is clear that when x increases, y decreases, hence the line falls when the graph of the line moves from left to right.

The red line graph represents the linear function y = - 3x + 2.

Analysis of y = 4x + 2   (When -3 is replaced by 4)

Now, when we replace -3 by 4 in the equation y = - 3x + 2, the equation becomes

y = 4x + 2

comparing with the slope-intercept form y = mx+b

The slope m = 4

The positive slope indicates that as the line on the line graph moves from left to right, the line rises.

In other words, the positive slope indicates that when x increases, y also increases, and vise versa.

Please check the attached graph of the function y = 4x + 2. It is clear that when x increases, y increases, hence the line rises when the graph of the line moves from left to right.

The blue line graph represents the linear function y = 4x + 2.

Analysis of y = 2   (When -3 is replaced by 0)

Given the equation

y = - 3x + 2

If we replace -3 by 0, the equation becomes

y = 0x + 2

y = 2

In other words, y = 2 represents a horizontal line because the horizontal line is of the form

y = k

where k is the y-intercept

here k = 2 is the y-intercept of the line y = 2.

Thus, slope zero means the value of y does not change no matter what we take or change the x-value.

The graph of line y = 2 is also attached which represents a horizontal line with slope 0 and y-intercept 2.

The green line graph represents the linear function y = 2.

Please check the graphs of all the lines.

Answer:

6 Miles and the cost is $4.50

Step-by-step explanation:

3+0.25=0.75x

3+0.50x

6=x

0.75x+?

0.75 x 6= 4.50

Answer:

i think it is B

Step-by-step explanation: don't ask for an explanation cuz i wont give one

Answer:

C

Step-by-step explanation:

Answer:

Angle B should be 37°

Step-by-step explanation:

All i fugured out was the angle measure, which should be 90+53=143 and 180-143=37°, I’m just not sure what the other stuff means/needs.

Step-by-step explanation:

Given

y = 2x + 1 .....i)

y = 3x +2 .....ii)

Putting equation II in equation i

3x + 2 = 2x + 1

3x - 2x = 1 - 2

x = -1

Now putting x = -1 in equation i

y = 2* (-1) + 1

= -2 + 1

= - 1

Therefore x = -1 and y = -1

Hope it will help :)

Answer:

It is a 30, 60, 90 triangle.

Step-by-step explanation:

Hence, the measure of the largest angle is degrees is [tex]5[/tex] degree, [tex]10[/tex] degree and [tex]15[/tex] degree and the largest angle is  [tex]15[/tex] degree.

What are the angles?

Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint. The point at which the two rays meet (intersect) is called the vertex.

Here given that,

The sum of the measures of three adjacent angles is [tex]150[/tex] degree. The measures of the angles are in the ratio of [tex]1:2:3.[/tex]

Let one angle is [tex]x[/tex], second is [tex]2x[/tex] and the thirs one is [tex]3x[/tex].

As given that the sum of three angles is [tex]150[/tex] degree but we know that the sum of three angles is [tex]180[/tex] degree then,

[tex]x+2x+3x=180-150\\\\x+2x+3x=30\\\\6x=30\\\\x=\frac{30}{6}\\\\x=5[/tex]

when

[tex]x=5\\\\2x=2(5)\\\\2x=10[/tex]

when

[tex]x=5\\\\3x=3(5)\\\\3x=15[/tex]

Hence, the measure of the largest angle is degrees is [tex]5[/tex] degree, [tex]10[/tex] degree and [tex]15[/tex] degree and the largest angle is  [tex]15[/tex] degree.

To know more about the angles

https://brainly.com/question/29633323

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Step-by-step explanation:

4x³ = 36x

4x³ - 36x = 0

4x(x² - 9) = 0

4x(x + 3)(x - 3) = 0

Hence x = 0, x = -3 or x = 3.

Answer:

The answer is B

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

Step-by-step explanation:

we have to wrote down all the possible 3digit numbers and calculatevtheir sum

259+295+529+592+925+

952=3552

(the digits cant be repeated because they are written on cards only once)

The sum of all possible scores  3552.

Probability is the measure of the likelihood that an event will occur in a Random Experiment. Probability is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.

Given:

Joe is shown 3 cards marked 2, 5 and 9.

we have write all the possible 3digit numbers

First taking 2 at hundred place value

259

295

Now, taking 5 at hundred place value

529

592

Now, taking 9 at hundred place value

925

952

Now, add the above 3 digit numbers

=259+295+529+592+925+952

= 3552

Hence, the sum of all possible scores  3552.

Learn more about probability here:

https://brainly.com/question/11234923

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Answer:

x=-12

Step-by-step explanation:

first collect all the like terms -28x + 24 = 120-20x

then move variables and constants to the correct side -28x + 20x = 120-24

collect like terms again -8x = 96

divide both side by -8 so -8x/-x n 96/-8 you get x=-12 bc -8 time -12 = 96

Answer:

x = -12

Step-by-step explanation:

First, combine like terms

[tex]-4x-24x+24 = 10(12-2x)\\-28x+24 = 10(12-2x)[/tex]

Then, use the distributive property on the right side

[tex]-28x + 24 = 120 - 20x[/tex]

Now, add 28x to both sides to get the Xs all together

[tex]24 = 120 + 8x[/tex]

Next, subtract 120 from both sides:

[tex]-96 = 8x[/tex]

divide both sides by 8:

[tex]-12 = x[/tex]

This means the answer is x = -12