Find missing value to make a function….Thanks

Answer:

-53

Step-by-step explanation:

(x+2)

x^4 =       -2^4 = 16

15x^3 =     15* (-2)^3 = -120

6x^2 =       6(-2^2) = 24

12x =        12*(-2) = -24

substitute into equation:

x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53

Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3

Divisor = x+2

We know that

Remainder Theorem:

Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).

So, P(x) is divided by (x+2) then the remainder is P(-2).

P(-2) =

⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3

⇛ 16+15(-8)+6(4)+72+3

⇛16-120+24+72+3

⇛ 67-120

⇛ -53

P(-2) = -53

Answer:- The remainder is -53.

Also read similar Questions: What is the remainder when the polynomial 7x^2+15x-12 is divided by x+3?..

https://brainly.com/question/11432486?referrer

The remainder obtained when x^4 + 3x^2 - 2x + 2 is divided by (x + b) is the square of the remainder obtained when x^2 – 3 is divided by (x + b...

https://brainly.com/question/12784556?referrer

Answer:

  A.  AB, BC, AC

Step-by-step explanation:

The side lengths have the same order (smallest to largest) that their opposite angles have.

Angle B = 180° -50° -63° = 67°

The angles, smallest to largest, are C = 50°, A = 63°, B = 67°.

Their opposite sides (shortest to longest) are AB, BC, AC. (matches choice A)

Answer:

dots?.............................................................................................................................................................................................................................................................

Step-by-step explanation:

Answer:

-2,3

Step-by-step explanation:

So that is the highest point marked on the graph.

Answer:

The graph is linear and increasing from x = -6 to x = -2.

The graph is nonlinear and decreasing from x = -2 to x = 0.

Step-by-step explanation:

Linear means it has a constant slope, or a constant rate of change. That makes a straight line on a graph. On the given graph, you can see the straight line increasing from x = -6 to x = -2.

Non-linear is just anything that isn't a constant slope, and makes a curve on a graph. On the given graph, the curve decreases from x = -2 until x = 0, where it reaches its lowest point and starts heading upwards again.

Answer:

19.3%

Step-by-step explanation:

There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375  

0.19375 = 19.3%

Answer:

Step-by-step explanation:

Firstly, we need to get the fraction that are girls

What we have to do is to subtract the three-fifths from the total fraction of 1

Mathematically,that would be :

1- 3/5=2/5

We have it that seven-eigths of the girls are left-handed. This mean one-eight of the girls are left handed

To get the fraction of the school that are left handed, we multiply the fraction of girls by the fraction of left-handed girls

We have this as:

1/8 x 2/5=1/20

We have it that 1/20 of the children are left-handed girls

Answer: 1st -5.666 2nd 3.9 3rd 5.2 4th21

Step-by-step explanation:

you don't have to worry about the .9 and .2 in 3.9 and 5.2 just look at it as 3 and 5. 5 is greater so it comes first and 21 is the greatest and -5.666 is negative so -5.666 is the least

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 3 ) and (x₂, y₂ ) = (2, 5 ) ← 2 points on the line

m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Answer: Hello!

The two numbers are 8 and 5 .

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%

Anna♥

Answer: y=9x+8

Step-by-step explanation:

y=mx+b

y=(slope)x+(y int)

just plug in

y=9x+8

slope^ ^y intercept

ok so he is owing his sister 24 and he gives her 15

so 24-15=9

but as an addition expression it will be

x+15=24

x=24-15

x=9

Answer:

5/10 or 1/2 is the answer I think

Answer:

Step-by-step explanation:

So you can do that for me and you have a lot to say I don’t want you have a lot

Answer:

think its a

Step-by-step explanation:

the slope is 2/1 but both y int are different

Answer:

a) 45

b) No. AD and BC arent parallel.

Step-by-step explanation:

a)

3x + 2x + x + 90 = 360

6x = 270

x = 45

Hope you could understand.

If you have any query, feel free to ask.

If v(t) and h(t) denote the ball's velocity and height at time t, respectively, then we have h(0) = 1.2 m and v(0) = 58 m/s.

The ball is in free fall after being tossed, so its acceleration is constant at any time t :

[tex]a(t) = -9.8 \dfrac{\rm m}{\mathrm s^2}[/tex]

By the fundamental theorem of calculus, the velocity function is given by

[tex]\displaystyle v(t) = v(0) + \int_0^t a(u) \, du[/tex]

Compute the integral:

[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) \int_0^t du[/tex]

[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t - 0)[/tex]

[tex]\displaystyle \boxed{v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t}[/tex]

Similarly, the height function is given by

[tex]\displaystyle h(t) = h(0) + \int_0^t v(u) \, du[/tex]

[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \int_0^t \left(58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t\right) \, du[/tex]

[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) (t - 0) - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t^2 - 0^2)[/tex]

[tex]\displaystyle \boxed{h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) t - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t^2}[/tex]

Answer:

V(t) = 58-9.8t

h(t)=1.2+58t-4.9[tex]t^{2}[/tex]

Step-by-step explanation:

Using the standard formula

a=V f-Vi/t --rearrange

at=V f-Vi

V f=V i + a t

therefore

V(t)=58-9.8t

same with height

H= Hi+Vit+1/2at^2

therefore

h(t)=1.2+58t-4.9t^2

Answer: Positive but I might be wrong I haven't done slopes in a while

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

Answer:

76%

Step-by-step explanation:

to make this a percentage we need to make the denominator 100. luckily 25*4=100, so multiply 19/25 by 4/4 to get 76/100. so our percentage is 76

Answer:

76%

Step-by-step explanation:

percent is out of 100, so 19*4/25*4=76/100=76%

Answer

116.4k+ views

Hint: We will write the first ten odd natural numbers and then add them to find their sum. We will then substitute the values in the formula of arithmetic mean , a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Complete step-by-step answer:

We have to find the arithmetic mean of first ten odd natural numbers .

Natural numbers are counting numbers and starts from 1.

Odd numbers are not multiples of 2.

The first ten odd natural numbers are 1,3,5,7,9,11,13,15,17,19.

Arithmetic mean is calculated by adding all the observations by the total number of observations.

Arithmetic mean is given by a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Therefore, we will calculate the sum of the first ten odd natural numbers.

⇒1+3+5+7+9+11+13+15+17+19⇒100

Now, we will divide this by 10 as there are a total 10 numbers.

10010=10

Hence, the arithmetic mean of first ten odd natural numbers is 10.

Note: Arithmetic mean is also known as average or simply mean. Odd numbers are not divisible by 2. The sum of n odd natural numbers is also given by n2

Answer:

1st , 2nd , and 4th

Step-by-step explanation:

Answer:

  22.5°

Step-by-step explanation:

The exterior angle at B is 360°/8 = 45°. The congruent interior angles of the triangle at A and C total this amount. The angle BAC is 45°/2 = 22.5°.

m = (Y2 - Y1)/(X2 - X1)

m = (1 - 1)/(-5 - 7)

m = 0/(-12)

m = 0

Answer:

0.2% as a decimal is 0.002, 3.71 as a percentage is 371%

Answer:

3  ( x  +  29 )

Step-by-step explanation:

The best I can do is factor them, hope it helps!

Step-by-step explanation:

how many cups of water do you need to fill fill one jar

Answer:

kristen

Step-by-step explanation:

Answer:

9 pounds

Step-by-step explanation:

100% - 10% = 90%

90% -> .9

[Solving] 10 * .9 = 9

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

9 pounds

Step-by-step explanation:

10% of 10 pounds is 1 pound so baby Todd's current weight is 9 pounds.

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

Explanation:

Let's check to see if 9/12 is the same as 16/24.

Set them equal to one another, and then use cross multiplication like so

9/12 = 16/24

9*24 = 12*16

216 = 192

Both sides aren't the same value after simplifying everything. The third equation being false leads to the first equation being false as well.

Therefore, 9/12 is not the same as 16/24. We can rule out choice A.

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

Let's check choice B

9/12 = 15/20

9*20 = 12*15

180 = 180

We have a match, so 9/12 is the same as 15/20

Notice how:

Both fractions lead to the same exact terminating decimal, which is more evidence that the two fractions are equivalent.

Choice B is the final answer.