Use synthetic division to find the result when 4x^3+3x^2– 8x – 7 is divided by x+1.

Answer:

AC equals CB times CD all over CE

The lengths of the sides of the scaled drawing can be determined from the

relation between similar triangles.

The expression that will help Jolene determine the length segment AC is the option;

Reasons:

The given parameters are;

The figure Jolene is trying to create = A scaled up blue print

Given that in ΔACB and ΔABC, we have;

DE and AB are parallel

Therefore;

∠CED ≅ ∠CBA by corresponding angles

∠CDE ≅ ∠CAB by corresponding angles

∠C ≅ ∠C by reflexive properties

ΔCDE ~ ΔACB by Angle-Angle similarity postulate

Therefore, by similar triangles, and triangle proportionality, we have;

[tex]\displaystyle \frac{AC}{CD} = \mathbf{\frac{CB}{CE}}[/tex]

Therefore;

[tex]\displaystyle CD= \mathbf{ \frac{CB\cdot CD}{CE}}[/tex]

Therefore, if segments DE and AB are parallel, the expression that will help Jolene determine the length segment AC is; [tex]\displaystyle CD= \frac{CB\cdot CD}{CE}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/14445094

Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4

Given : 4 Shrimps cleaned every minute.

So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T

The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.

Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.

To learn more, refer https://brainly.com/question/6499165?referrer=searchResults

Answer:

1.001e+17

Step-by-step explanation:

Answer:

t:  -1.80244705, 0.100001, 1.75234772

2

Rearrange terms

3

Subtract

6

6

6

from both sides of the equation

4

Simplify

5

Divide both sides of the equation by the same term

6

Simplify

ITS ABOUT DRIVE ITS ABOUT POWER WE STAY HUNGRY WE DEVOUR PUT IN THE WORK PUT IN THE HOURS AND TAKE WHATS OURS

Awnser: Hi, tour awnser is Congruent

Answer:

b

Step-by-step explanation:

Answer:

2,4

Step-by-step explanation:

Step-by-step explanation:

=>x⁴-5x²+4

=>x⁴-x²-4x²+4

=>x²(x²-1)-4(x²-1)

=>(x²-1)(x²-4)

=>(x+1)(x-1)(x+2)(x-2)

hope this helps you.

Answer:

119

Step-by-step explanation:

Answer:

look at the photo...............

Answer:

41.75

Step-by-step explanation:

I think my math might be wrong

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The values are :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

The equation of the given line is :

aand general equation of a line is :

where,

now, by equating both the equations we get :

Answer:

x = 10        m∠3 = 74

Step-by-step explanation:

(10x + 6) + (7x + 4) = 180 degrees

17x + 10 = 180

17x = 170

x = 10

check answer

(10(10) + 6) + (7(10) + 4) = 180

106 + 74 = 180

180 = 180

true!

angle 5 is vertical angles with 3, so they are congruent

use same equation as 5

7(10) + 4

70 + 4

74 :)

Answer:

b. 10a³ - 11a - 3

Step-by-step explanation:

1. Expand 3(a³ - 2a - 5)

= 3a³ - 6a - 15

2. Add 7a³ - 5a + 12 and 3a³ - 6a - 15

7a³ + 3a³ = 10a³

-5a + -6a = -11a

12 + -15 = -3

3. Answer: b. 10a³ - 11a - 3

Answer:

Should be!!! i remember taking that quiz but i dont really remember

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sum of the interior angles is 180° (triangle)

your answer in the picture

Answer:

2nd option

Step-by-step explanation:

Substitute the values of x from the domain into f(x) for range

f(2) = 2³ + 1 = 8 + 1 = 9

f(3) = 3³ + 1 = 27 + 1 = 28

f(4) = 4³ + 1 = 64 + 1 = 65

range is {9, 28, 65 }

Answer:

hwhiwbshs bengshhwwvvw

Step-by-step explanation:

Answer:

49 minutes

Step-by-step explanation:

7: 43

8: 32

17 minutes 'till 8:00

Another 32 'till 8:32

so add 17+32

Answer:

x =  y +  2  y  −  1 = 2x  

Step-by-step explanation:

let me know if this doesnt help

Answer:

y = -3

Step-by-step explanation:

This is because horizontal lines have a slope of 0. And for horizontal lines, the equation of the line is y = b. So, b is the y-intercept and the y intercept is -3 so that is the equation of the line.

Answer:

For the first one put 3/5 then for the other box I THINK its 15

Step-by-step explanation:

Answer:

x < 1 and x > -2

Step-by-step explanation:

5x - 1 < 4 and 3x + 5 > x + 1

Step 1.) Transfer the -1 over by the 4 by adding it because you use the opposite symple when its transfered.

5x < 5 and 3x + 5 > x + 1

Step 2.) Divide 5 by 5 to get the variable alone

x < 1 and 3x + 5 > x + 1

Step 3.) Subtract x from 3x which gives 2x and subtract 5 from 1 which gives -4

x < 1 and 2x > -4

Srep 5.) Divide -4 by 2 to get the variable alone and you get -2

x < 1 and x > -2

Answer:

None Of These

Step-by-step explanation:

Because you cannot determine what the two sides are because there are 2 missing variables.

This is a linear equation and has infinite solutions.

Another equation matching this is needed to find a specific answer.

Hope This Helps :)

Answer:

see below

Step-by-step explanation:

x^2-x=42

Check the solutions

6^2 -6 = 42

36-6 =42

30=42

This is not true so 6 is not a solution

Let's find the solutions

Subtract 42 from each side

x^2-x-42=0

Factor

(x-7)(x+6) =0

Using the zero product property

x-7 =0   x+6=0

x=7   x=-6

Answer:

[tex]x = \frac{-3}{2} \\or \\x = -\frac{3}{2}\\or\\-1.5[/tex]

Step-by-step explanation:

2x = -3

divide 2 from both sides

[tex]x = \frac{-3}{2} \\\\or \\x = -\frac{3}{2}[/tex]

Answer:

x=-1.5

Step-by-step explanation:

1. Divide on both sides to get the x alone; -3 divided by 2 is -.15 or -3/2