-21(31 -4)+75 simplified expression

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

Given :

One root of a third degree polynomial function f(x) is –5 + 2i.

To Find :

The number and nature of all roots for this function.

Solution :

We know, there are exactly three roots in any third degree polynomial.

Also, we know complex roots always comes in pair i.e. the other root is the conjugate of each other .

So, other root is , -5 - 2i .

Also, since complex roots come in conjugate pair. So, third root cannot be complex.

Therefore, 2 roots are complex and 1 is real.

Answer:

f(x) has two imaginary roots and one real root.

Step-by-step explanation:

B on edge.

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

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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:

$613.80

Step-by-step explanation:

7% of 660 = 0.07 × 660 = 46.2

660 - 46.2 = 613.80

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:

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:

21

Step-by-step explanation:

Can I have brainliest:)

Answer:

7 x 24

8 x 1

=

168/8= 21

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:

Hazel is 1 out of 8.46

Blue is 1 out of 3.43

Step-by-step explanation:

total number=37+62+13+15=127

Blue is 37 out of 127

Probability is 1 out of 3.43

Hazel is 15 of 127

Probability is 1 out of 8.46

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:

Step-by-step explanation:

1) Make it so that it's easy to solve

3 = -y +2x

18 = y + x (the y cancels out)

21 = 3x (divide both sides by 3 to isolate x)

x = 7 (then you can plug in x and then solve for y)

2) Again, make the problem easy to read  

12 = -x + y

27 = 4x + 2y (get rid of either x or y. I am going to get rid of x by multiplying the top equation by four)

48 = -4x + 4y

27 = 4x + 2y  (x is canceled out)

75 = 6y (divide both sides by 6 to isolate y)

12.5 = y (then plug in y to find x)

3) 15 = (7 + p) + p -----------------> p represents pants and (7 + p represents shirts because she bought 7 plus pants of shirts)

15 = 7 + 2p

8 = 2p (isolate p by dividing by 2)

p = 4

- Elaine bought 4 pants and 11 shirts.

In the comments, let me know if you need a further explanation.

Answer:

12/15

Step-by-step explanation:

The fraction of 4/5 using fifteenths is 10/9.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

4/5 using fifteenths

We have to convert the denominator in 15.

So, multiplying the fraction by 3/3

Then, 4/5 x 3/3 = 12 / 15

Hence, the fraction of 4/5 using fifteenths is 10/9.

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Answer:

Step-by-step explanation:

Answer:

a = 31.7

c = 39.1

Step-by-step explanation:

tan54 = a / 23

a = 23 * tg54

a = 31.7

sin54 = 31.7 / c

c = 31.7 / sin54

c = 39.1

:)

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.

Answer:

10

Step-by-step explanation:

14+10=24-14=10

Answer: 10

Step-by-step explanation: 14 + 10 = 24 + (-14) = 10

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:

7

Step-by-step explanation:

√49 = 7

7² = 49

7 × 7 = 49

hope this helps...

Answer: See explanation

Step-by-step explanation:

I think your question should be a rectangle and not a triangle. A triangle has 3 sides and not 2 sides. In order to solve the question, I'm assuming that you wanted to write rectangle.

Note that the perimeter of a rectangle:.= 2(length + breadth)

Let the width be x

Since the length is 1 1/8 cm longer than the width, therefore, the length is 1 1/8 + x.

Therefore, perimeter = 2(1 1/8 + x + x) = 13 1/4

2(1 1/8 + 2x) = 13 1/4

2 2/8 + 4x = 13 1/4

2 1/4 + 4x = 13 1/4

4x = 13 1/4 - 2 1/4

4x = 11

x = 11/4

x = 2 3/4

Therefore, the width is 2 3/4cm

Length = 2 3/4 + 1 1/8

= 2 6/8 + 1 1/8

= 3 7/8cm

Answer:

i think it is B

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

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:

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:

3789/21

=180.4...............

Answer:

The answer is B

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

Answer:

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]

Answer:

j=6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

13-7=6