If f(x) = 2x3 – 5x2 + 5, then what is the remainder when f (x) is divided by
X + 2?

Answer:

Step-by-step explanation:

(cos³x)/(sin x)=cot x

(cos³ x)/(sin x)=(cos x)/sin x

sin x≠0

x≠0,π,2π

cos³x-cos x=0

cos x(cos²x-1)=0

either cos x=0,x=π/2 ,3π/2

or

cos²x-1=0

2 cos²x=2

1+cos 2x=2

cos 2x=1=cos2nπ,n=0,1,2

2x=2nπ

x=nπ

x=0,π,2π

But x≠0,π,2π

so x=π/2,3π/2

Answer:

y = x - 1

Step-by-step explanation:

The formula for slope-intercept form is:

y = mx + b

m = slope

b = y-intercept

Slope is equal to rise over run...Let's take points (1,0) and (2,1) for example, see how if you add 1 to (1,0) it turns to (2,1)? This means the slope is 1.

The y-intercept is where x is equal to 0. Look at point (0,-1). X is zero here, and y is -1. This means that the y-intercept is -1.

The final equation would then be:

y = x - 1

(You typically don't write the 1 in front of the x if 1 is the slope)

Hope this helps!!

- Kay :)

Answer:

3:2

Step-by-step explanation:

Hi there!

6:4 = 3:2

6*2=3

4*2=2

3:2

It will be B.

Hope this helps!

Answer:

A.

Step-by-step explanation:

The points are at 3,1 which 3/1=3, 6,2, which 6/2=3/1, and 9,3, which 9/3=3/1.

(hope this helps!)

=========================================================

Explanation:

Notice how EC = 5 doubles to BC = 5+5 = 10

So the larger quadrilateral (ABCD) has side lengths that are exactly twice as long compared to the smaller quadrilateral's sides. We can say the scale factor is 2.

This must mean that side FG = 4 doubles to 4*2 = 8, which is the length of side AD. So that's how we get y = 8.

-----------------------------------

Extra info:

Length of AD, y = 8

Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.

Given,

EC = 5

FG = 4

BE = 5

AD = y

ABCD ~ FECG,

then ratio of the corresponding sides will be equal.

BC/AD = EC/FG

(BE + EC)/AD = EC/FG

(5 + 5)/y = 5/4

10/y = 5/4

5y = 40

y = 40/5

y = 8.

Hence, 8 is value of y that is length of AD.

Learn more about similar quadrilaterals here:

https://brainly.com/question/26991730

#SPJ5

28.04996

Step-by-step explanation:

a² + b² = c²

(2x)² + x² = 62²

4x² + x² = 3844

5x² = 3844

x² = 3844÷5

x² = 768.8

x =

[tex] \sqrt{768.8} [/tex]

x = 28.04996

I hope this is right. Apologies if it is not.

Answer: The angle of elevation of the sun [tex]=64.40^{\circ}[/tex]

Step-by-step explanation:

According to the trigonometry,

In a right triangle,

[tex]tan A=\dfrac{Perpendicular}{Base}[/tex]

Let angle of elevation of the sun = x

From the given figure, Perpendicular = 286 feet

Base = 137 feet

[tex]\tan x =\dfrac{286}{137}\\\\ \tan x = 2.0876\\\\ x=\tan^{-1}(2.0876)\\\\ x=64.40^{\circ}[/tex]

The angle of elevation of the sun [tex]=64.40^{\circ}[/tex]

Answer:

x/2-20=22

440 is your answer

Step-by-step explanation:

Answer:

n+5

Step-by-step explanation:

Answer:

n + 5 or 5 + n

Step-by-step explanation:

add 5 to n, tanya's current age, to find how old she'll be in 5 years.

since the variable n is not defined, the answer cannot be simplified further than n + 5.

if n had been defined, you would be able to figure out her exact age after 5 years, which would be the fully simplified answer. for example, if n were to equal 10, then tanya would currently be 10 years old. by plugging in 10 for n in n + 5, you would figure out that in 5 years (aka 10 + 5) tanya would be 15.

i hope this helped! have a great day <3

Answer:

14.940306992% or 15%

Step-by-step explanation:

To solve for percent or price markdown, you first have to find the difference between the original selling price and the sale price.

$ 175.90 - $ 149.62 = $26.28

Then, find the percentage that $26.28 is of the original selling price. You are decreasing the original by this much to get to the sale price.

$26.28 / $175.90

= 0.14940306992

Finally, multiply by 100 and round up to reach a percentage.

15%

Answer:

Step-by-step explanation:

A lot to answer here, so lets get straight into it.

2y + 8 for y = -2

We just need to substitute :

2(-2) + 8

-4 + 8

4

-5x + 6 for x = -8

Substitute :

-5(-8) + 6

40 + 6

46

3r - 2s + 12 for r = 10 and s = 4

Substitute :

3(10) - 2(4) + 12

30 - 8 + 12

22 + 12

34

6y - 4x - 9 for x = 6 and y = -3

Substitute :

6(-3) - 4(6) - 9

-18 - 24 - 9

-42 - 9

-51

A number t decreased by 13

t - 13

Six times a number y

6y

Three more than four times a number p

4p + 3

Two times a number v decreased by 7

2v - 7

Six times the sum of seven and a number x

6(7 + x)

-8b - 10b + 7

-18b + 7

13 + 7t - 9

13 - 9 + 7t

4 + 7t

-9n - 8m + 8 - 3n + 6m - 2

-9n - 3n = -12n

-8m + 6m = -2m

8 - 2 = 6

-2m - 12n + 6

-5x + 3y + 9x + 7

-5x + 9x = 4x

3y = 3y

7 = 7

4x + 3y = 7

-2y + 4x - 3y + 6x - 12 for x = 2 and y = -4

Substitute :

-2(-4) + 4(2) - 3(-4) + 6(2) - 12

8 + 8 + 12 + 12 - 12

16 + 12 + 12 - 12

28 + 12 - 12

40 - 12

28

Answer:

$7

Step-by-step explanation:

Answer:

B) 40

Step-by-step explanation:

2:10    2 out of 10

40:200      40 out of 200

Answer: 50 minutes

Step-by-step explanation: a quarter to 5 is always 15 minutes from 5, 4:45. So 5:35-4:45 is 50.

Answer: 7

Step-by-step explanation:

4.25+6.75=11

11+7=18

18-11=7

Answer:

11m-4

Step-by-step explanation:

Add 4.25m and 6.75m= 11m

7+-11= -4

Answer:

The speed of car is 45.3 miles per hour.

Step-by-step explanation:

I can't understand your answer

Answer:

solution

by using pythagorus theorem

h^2 =p^2 +b^2

[tex]3 \sqrt{2} \\ [/tex]

sine E =p/h

=

[tex]3 \sqrt{2} \div 10[/tex]

Answer:

Alright the answer is, -11/2 (Exact Form) Or -5.5 (Decimal) Or -5 1/2 (In Mixed Number Form.

Answer:

it's answer is 8 / 3

Step-by-step explanation:

given

[tex]6 \ \: \frac{3}{4} \div 1 \frac{2}{3} \\ = \frac{6 \times 4 + 3}{4} \div \frac{1 \times 3 + 2}{3} \\ = \frac{27}{4} \div \frac{5}{2} \\ = \frac{27}{4} \times \frac{2}{5} \\ = \frac{27}{10} [/tex]

Answer:

it's answer is 8 /3.

Hope it helps

Answer:

i. Area(A)=L×B

24.5m×18

441m²

Answer:

47.87

.................

Answer:

i tried looking it up but i just got this far

Step-by-step explanation:

Answer:

The y-intercept of the function and the vertex of the function would change. (III and IV) This answer doesn't seem to be in the answer list (but there is proof for the answers below), though.

Step-by-step explanation:

(Notice that [tex]2f(x-4) = 2(x-4)^2.[/tex])

The domain of the function won't change because quadratics can all take all numbers as their input (which, by definition, is the domain of a function).

The range of the function won't change either, because we have just moved the function with 4 to the right (by substituting [tex]x[/tex] with [tex]x-4[/tex]) and multiplied the graph with respect to the y-axis by 2. The range will stay as all non-negative real numbers.

The y-intercept of the function will change, because for [tex]f(x)=x^2[/tex] it is [tex]y=0[/tex], while for [tex]y=2(x-4)^2[/tex] substituting [tex]x=0[/tex] doesn't give [tex]y=0[/tex]. (Instead, it gives [tex]y=32[/tex].)

The vertex of the function will change, because we have moved the function with 4 to the right and multiplied the graph with respect to the y-axis by 2: the vertex will have at the very least moved to the right.

Answer:

You can try E, G, D, N, L, and F. I will help you if you have any questions on it, but I will give you a little hint that do the way I did. It will make it much more easy to understand it. Hope this helps, thank you :) !!

Answer:

x = 54

Step-by-step explanation:

These are corresponding angles assuming that both transversals are parallel. Since these angles are corresponding, they must be congruent which means that both measures are the same.

Now the basic algebra can be done to find x:

(x + 12)° = 66°

(x)° = (66 – 12)°

(x)° = (54)°

x = 54

Answer:

$19.35

Step-by-step explanation:

it takes two answers to mark someone brainliest so mark him now

Answer:

6 ; 24 ; 5.4 ; 24.6

Step-by-step explanation:

Given that:

Number of samples from each high school = 30

Proportion of students from high school A = 20%

Proportion of students from high school B = 18%

Number of sample A ; n(A) = 30

Proportion of sample A ; p(A) = 0.20

Number of sample B ; n(B) = 30

Proportion of sample B ; p(B) = 0.18

1.)

n(A).p(A) = 30 * 0.20 = 6

2.)

n(A). (1 - p(A))

30 * (1 - 0.20)

30 * 0.8 = 24

3.)

n(B).p(B) = 30 * 0.18 = 5.4

4.)

n(B). (1 - p(B))

30 * (1 - 0.18)

30 * 0.82

= 24.6

Shape of sampling distribution is not approximately normal ;

Both nApA and nBpB are < 10