What is the missing angle?

Answer:

First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)

To find the zeros, you set the equation equal to 0 and solve for x

x^3+2x^2-8x=0

x(x^2+2x-8)=0

x(x+4)(x-2)=0

x=0   x=-4   x=2

So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)

And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.

Plugging in a -5 gets us -35

-1 gets us 9

1 gets us -5

3 gets us 21

So now you know end behavior, zeroes, and signs of intervals

Hope this helps

Answer:

The degree of the function is odd and the leading coefficient is positive – so the function goes to negative infinity as x goes to negative infinity and to positive infinity as x goes to positive infinity. The zeroes are –4, 0, and 2, all with multiplicity 1. The function is negative from negative infinity to –4 and from 0 to 2. The function is positive from –4 to 0 and from 2 to infinity.

Step-by-step explanation:

sample response on edge 2022

Answer:

width=8cm

lenth=11

Step-by-step explanation:

Answer:

The answer is negative 8 and negative 7

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Answer:

14

Step-by-step explanation:

Answer:

B. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Look for a pattern within the table.

10 : 2.5

16 : 4

? : 7.5

48 : 12

10/2.5 = 4

16/4 = 4

14/12 = 4

this means that if we multiply 7.5 by 4 we will be able to find the missing number!

Therefore, the answer is B.

Hope this helps! :)

Answer:

Required equation of line in point-slope form is:

[tex]y-5 = -\frac{3}{5}(x+5)[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y = \frac{5}{3}x+2[/tex]

The slope-intercept form of line is:

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

Comparing both we get

m = 5/3

We have to find the equation of a line that is perpendicular to given line and passes though (-5,5)

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line then

[tex]m.m_1 = -1\\\frac{5}{3} . m_1 = -1\\m_1 =-\frac{3}{5}[/tex]

Point-slope form is given by:

[tex]y-y_1 =m_1(x-x_1)\\[/tex]

Putting m = -3/5 and (x1,y1) = (-5,5)

[tex]y-5 =-\frac{3}{5}(x-(-5))\\y-5 = -\frac{3}{5}(x+5)[/tex]

Hence,

Required equation of line in point-slope form is:

[tex]y-5 = -\frac{3}{5}(x+5)[/tex]

Answer:

1

Step-by-step explanation:

3.258 x 105=342.09

Brainliest plz!

Answer:

4

Step-by-step explanation:

So let's say he gets a result of 20 from the first spin. This means that the factors of 20 would be:

1, 2, 4, 5 and 10. Since 20 is not taken into account when building the next spinner.

now, the possibilities for each of the given factors are:

1:  1

2: 1, 2

4: 1, 2, 4

5: 1, 5

10: 1, 2, 5, 10

So let's take the one with the biggest amount of possible factors, in this case it would be the 10. So let's say that on the second spin, he gets a 10.

So our possible factors for 10 would be:

1, 2, 5  since we don't take 10 itself into account.

So let's see the possible factors for 1, 2 and 5

1: 1

2: 1, 2

5: 1, 5

For the third spin, you could either get a 2 or a 5, it doesn't matter which result you get since for theh last spinner, it would only have a result of 1.

so for the fourth spin, you would get a 1 as an answer and the game ends there with a total of four spins.

Answer:

4

Step-by-step explanation:

If John spins a 20, then Gary's list contains the numbers 1, 2, 4, 5, 10. Thus, these are the numbers on the second spinner.

If John spins a 1, then Gary's list will be empty because there are no positive factors of 1 besides itself. Thus, the game will be over. This yields a maximum of 1 additional spin.

If John spins a 2, then Gary's list will only contain the number 1. Then on John's next spin, we will have the same scenario as above. This yields a maximum of 2 additional spins.

If John spins a 4, then Gary's list will contain the numbers 1 and 2. As we have already found above, spinning a 2 yields more additional spins than a 1, so the maximum additional spins in this case is 3 spins.

If John spins a 5, then Gary's list will only contain the number 1. As above, this will yield a maximum of 2 additional spins.

Finally, if John spins a 10, then Gary's list will contain the numbers 1, 2, and 5. Of these numbers, 2 and 5 have the highest maximum number of additional spins, so this case has a maximum of 3 additional spins.

Thus, of all of the possibilities, spinning a 4 or 10 next could result in 3 additional spins, so the maximum total number of spins is [tex]$\boxed{4}$[/tex]. These would be achieved by spinning 20, 10, 2, 1 or 20, 10, 5, 1 or 20, 4, 2, 1.

Question:

You are ordering short-sleeve shirts (x) for $10 and long-sleeve shirts (y) for $15. Your budget is $300. Write the equation and find the intercepts.

Interpret their meaning.

Answer:

The x-intercept shows that you can buy 30 short-sleeve shirts and 0 long-sleeve shirts.

The y-intercept shows that you can buy 20 long-sleeve shirts and 0 short-sleeve shirts.

Step-by-step explanation:

Given

$10 per short sleeve

$15 per long sleeve

Budget = $300

The above can be represented as:

Total Cost of Short Sleeve + Total Cost of Long Sleeve = Budget

i.e.

[tex]10 * x + 15 * y =300[/tex]

[tex]10x + 15y =300[/tex]

To solve for the y intercept, we set x to 0

[tex]10 * 0 + 15y =300[/tex]

[tex]15y =300[/tex]

Divide through by 15

[tex]y = 20[/tex]

This implies that, you can buy 0 short sleeves and 20 long sleeves

To solve for the x intercept, we set y to 0

[tex]10x + 15 * 0 = 300[/tex]

[tex]10x = 300[/tex]

Divide through by 10

[tex]x = 30[/tex]

This implies that, you can buy 0 long sleeves and 30 short sleeves

Step-by-step explanation:

This is the trigonometric form of a complex number where

|

z

|

is the modulus and

θ

is the angle created on the complex plane.

z

=

a

+

b

i

=

|

z

|

(

cos

(

θ

)

+

i

sin

(

θ

)

)

The modulus of a complex number is the distance from the origin on the complex plane.

|

z

|

=

√

a

2

+

b

2

where

z

=

a

+

b

i

Substitute the actual values of

a

=

4

and

b

=

−

2

.

|

z

|

=

√

(

−

2

)

2

+

4

2

Find

|

z

|

.

|

z

|

=

2

√

5

The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.

θ

=

arctan

(

−

2

4

)

Since inverse tangent of

−

2

4

produces an angle in the fourth quadrant, the value of the angle is

−

0.4636476

.

θ

=

−

0.4636476

Substitute the values of

θ

=

−

0.4636476

and

|

z

|

=

2

√

5

.

2

√

5

(

cos

(

−

0.4636476

)

+

i

sin

(

−

0.4636476

)

)

Replace the right side of the equation with the trigonometric form.

z

=

2

√

5

(

cos

(

−

0.4636476

)

+

i

sin

(

−

0.4636476

)

)

Answer:

One would be -3 and the other would be 0.

Step-by-step explanation:

first would be 0 because it's already an answer

second, we take -3 from the left side and subtract it from 0 from the other side which is -3

Answer:

x=3

Step-by-step explanation:

x−3=0

2) Add 3 to both sides.

x=3

Answer:

D

Step-by-step explanation:

Its D because If one was going 60 and then the second one went 150 on the same road. They both had to start off low and the lowest number closer to those to are 30.

Answer

D:9

Step-by-step explanation:

i took the test and got it right

Answer:

D- 9

Step-by-step explanation:

good luck :)

Answer:

x=2/3

Step-by-step explanation:

hope this helps :)

The solution to the equation is x = 2/3.

We have,

To solve the equation x - 5(x - 1) = x - (2x - 3), follow these steps:

- Distribute the -5 to the terms inside the parentheses:

x - 5x + 5 = x - 2x + 3

- Simplify the terms on both sides of the equation:

-4x + 5 = -x + 3

- Add -x from both sides of the equation:

-4x + x + 5 = -x + 3 + x

-3x + 5 = 3

-3x = 3 - 5

-3x = -2

x = 2/3

Therefore,

The solution to the equation is x = 2/3.

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Answer:

Step-by-step explanation:

Substituting n with -2

Answer:

-16

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

y = ½x + 2

Step-by-step explanation:

We are given the coordinates of the endpoint as;A(8,2) and

B(0,6)

The midpoint coordinates will be;

((8 + 0)/2, (2 + 6)/2) = (4, 4)

The slope of the midpoint using gradient formula will be;

m = (6 - 2)/(0 - 8)

m = 4/-8

m = -2

Thus, slope of a line perpendicular to the midpoint is;

m_p = -1/m

m_p = -1/-2

m_p = 1/2

Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;

y - 4 = ½(x - 4)

Multiply both sides by 2 to get;

2y - 8 = x - 4

Add 8 to both sides to get;

2y - 8 + 8 = x - 4 + 8

2y = x + 4

Divide through by 2 to get;

y = ½(x + 4)

y = ½x + 2

Answer:

B... Because indicates the direction of gravity because its direction is downward

Answer:b

Step-by-step explanation:

Answer:

about 3 pages can be cut.

Step-by-step explanation:

910/310=2.9

Answer:

3

Step-by-step explanation:

Use this if your teacher asks you how.

By dividing 910/310 you get 2.9. notice that on the calculator it shows 2.9 then infinity but dont mind that. as said to get 3 you round 2.9 to the nearest whole number. which is 3 :)

Answer:

It stands for "side-side-side". If two triangle both have all of their sides equal (that is, if one triangle has side lengths a, b, c, then so does the other triangle), then they must be congruent.

Answer:

Omar spent $600

Step-by-step explanation:

He gets 300 points for every $100 he spends and if he has 1800 points total then you divide 1800 by 300 to get the answer

Answer:

the recursive formula gives the value of a certain term based on the previous term but the explicit formula gives the value of a specific term based on the position.

Step-by-step explanation:

Answer:

1-C

2-F

3-A

4-D

5-B

6-E

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

The solution is: solve of the equation 19-5/2x = 34 is: x = -6.

Here, we have,

given that,

the equation is: 19-5/2x = 34

now, we have to solve this.

so, we have,

19-5/2x = 34

isolating the like terms, we get,

5/2 x = 19- 34

or,  5/2 x = - 15

dividing both side by 5 we get,,

x/2 = -3

cross-multiplying, we get,

x = -6

Hence, The solution is: solve of the equation 19-5/2x = 34 is: x = -6.

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Answer:

y=40x

Step-by-step explanation:

Answer:

C

Step-by-step explanation: