what Is the remainder when the polynomial p(x) = 5x^3 + x^2 + 10 Is divided by (x + 2)?

Hey there!

RANDOM FACTOID:

‘‘f(x)’’ or ‘‘g(x)’’ is understood to be “y”

f(x) = 2x

f(x) = 2(3)

f(x) = 2 + 2 + 2

f(x) = 4 + 2

f(x) = 6

Therefore, your answer is: f(x) = 6

g(x) = 5x

g(x) = 5(3)

g(x) = 5 + 5 + 5

g(x) = 10 + 5

g(x) = 15

Therefore, your answer is: g(x) = 15

OVERALL ANSWER: f(x) = 6 or g(x) = 15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

2(15 *4)=120

2(5*4)=40

2(15*5)=150

Total = 310mm^2

Second picture:

7k+14

36d+144

Answer:

surface area = 2(5 × 4) + 2(15 × 4) + 2(15 × 5) = 310 mm²

  7(k + 2)

= 7×k + 7×2

= 7k + 14

  12(3d + 12)

= 12×3d + 12×12

= 36d + 144

surface area rectangular prism = 2(4 × 5) + 2(15 × 4) + 2(15 × 5) = 310 cm²

  5x + 7x - 2

= 12x - 2

  4 + 3g - g + 2g

= 4g + 4

  2 + 4g + 7g + 5

= 11g + 7

The given congruency of the sides [tex]\mathbf{\overline{BE}}[/tex] and [tex]\mathbf{\overline{LO}}[/tex]  and [tex]\mathbf{\overline{BO}}[/tex] and [tex]\mathbf{\overline{LE}}[/tex] as well

as the congruency of the common side [tex]\mathbf{\overline{BL}}[/tex] gives.

ΔBEL ≅ ΔLOB by SSS congruency postulate

The completed two column proof is presented as follows;

Statement [tex]{}[/tex]                                          Reasons

1. [tex]\underline{\overline{BE} \cong \overline{LO}}[/tex]                       [tex]{}[/tex]                  1. Given

2. [tex]\overline{BO}[/tex] ≅ [tex]\overline{LE}[/tex]                       [tex]{}[/tex]                 2.

3. [tex]\underline{\overline{BL} \cong \overline{BL}}[/tex]                       [tex]{}[/tex]                  3. Reflexive property of congruency

4. ΔBEL ≅ ΔLOB                     [tex]{}[/tex]           4. SSS congruency postulate

Side-Side-Side, SSS, congruency postulate states that if three sides of

one triangle are congruent to three sides of another triangle, the two

triangles are congruent.

Learn more about different congruency postulates here:

https://brainly.com/question/1495556

Answer:

1 person = 0.75

1 person = 3/4

Step-by-step explanation:

This answer is at best a guess. It seems to me that you are constructing a circle graph, and I would like that confirmed.

The total number of people in the survey is

Total in survey = 96 + 60 + 24 + 96 + 204

Total in survey = 480

A circle contains 360 degrees.

480 people have 360 degrees of circle room

1  person has x degrees of circle room

480 / 1 = 360 / x

Cross multiply

480 x = 360 *1       Divide both sides by 480

x = 360 / 480

x = 0.75

One person takes 3/4 of a degree of the circle.

So the number of people wanting to go to the UK would be

96 * 0.75 = 72 degrees,

For each part of the table, just use what the frequency is for that entry where 96 is now.

The solution when multiplied 6 times 3 and then dividing by 2 is 9.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

Multiply six times three then divide by two.

First we have to multiply 6 times 3.

6 × 3 = 18

Then we divide the answer by 2.

18 ÷ 2 = 9

Hence the solution is 9.

Learn more about Multiplication here :

https://brainly.com/question/1292482

#SPJ2

The constant proportionality is 1 to 48Step-by-step explanation:72 / 1.5 = 48

Answer:

equally likely

Step-by-step explanation:

The classical approach to probability requires that the outcomes are​ equally likely.

Equally likely means the chance or possibility of selection in the sample is equal for them. None is prioritized over the other, all has the equal chance of being selected in the sample.

Given that we are using the classical approach to probability which is based on an assumption that for any procedure having random set of possible outcomes, the possibility of each outcome is equal.

Thus, the classical approach to probability requires that the outcomes are​ equally likely.

Learn more about classical approach of probability, here:

https://brainly.com/question/32255050

#SPJ6

Answer:

  {-3, 4, 8, 10, 11}

Step-by-step explanation:

The ordered pairs are usually defined as (input, output). That is, the input values of the relation are all of the first-numbers of the pairs:

  {8, -3, 11, 10, 4}

We usually like to list members of a set in numerical order:

  {-3, 4, 8, 10, 11} . . . . input values of the relation

Answer:

7/8 (0.875)

adjacent/hypotenuse

We will find the probability of getting each color of marble, and we will see that getting red and blue is equally likely, while getting green is less likely.

If we draw a marble at random from the box, all of them will have the same probability of being drawn.

Then the probability of getting a given color is given by the quotient between the number of marbles of that color and the total number of marbles.

Probability of getting red:

P = 11/25 =  0.44  This is really close to 50%, so this is equally likely.

Probability of getting blue:

P = 11/25 =  0.44  This is really close to 50%, so this is equally likely.

Probability of getting green:

P = 3/25 = 0.12 This is really close to 0%, so this is less likely.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

Depends on what sequence it is. For geometric it's 7/5 and for arithmetic - 2

Step-by-step explanation:

For n = 3:
a, = 1*2*3 - 1 = 5
For n = 4:
a, = 8 - 1 = 7

These are the terms for n = 3 and n = 4 but the thing is, this could be both geometric sequence and arithmetic sequence, since you didn't specify, here are the possible answers:

For geometric sequence, the rate of change is equal to An / An-1 therefore:
r = 7 /5

For arithmetic sequence, it's equal to A2 - A1 = 7 - 5 = 2

Answer:

895

Step-by-step explanation:

There's a repetitive pattern of adding +10 each time.

Answer:

They won 32

Step-by-step explanation:

16 is half of 32

32+16=48

The quantity of water that the bucket can hold given the quantity of water the container can hold is 6 2/3 pints.

In order to determine the quantity of water the bucket can hold, we have to multiply the pints the container can hold by 11/4

5 1/3 x 1 1/4

Convert the mixed fractions to improper fractions

16/3 x 5/4 = 20/3 = 6 2/3 pints

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Answer:

x=    -2         -3

Step-by-step explanation:

4x+12-72x+3x+3

15-65x

5(3-13x)

pls heart and give brainliest much appreciated

Answer: 5(3-13x)

Step-by-step explanation:

4x+12-72x+3x+3

15-65x

5(3-13x)

Answer:

Step-by-step explanation:

= (3.26 + 9.75) d - 2.65

= 13.01 d - 2.65

Answer:

Your answer is: -2y - x

Factor the polynomial.

Step-by-step explanation:

Hope this helped : )

Answer:

Step-by-step explanation:

y intercept for top is 0,4 and the line should go up by 3 lines and over by 1 everytime

y intercept for below is 0,2 and the line should go up by 1 line and over by 1 line everytime.

Answer:

b. K J L

Step-by-step explanation:

angle opposite the largest side is the largest angle

largest side is JK which is 15 so the angle opposite of , L, is the largest angle

Answer:

126.52 ounces left but rounding up 127

Answer:

2

Step-by-step explanation:

because

the pizza will be shared according to the total number of people zo

1/4×2=2

Answer:

it is b

Step-by-step explanation:

just try halfing it

Answer:

We are given the table of a linear function

Since we have to find the equation of the function in the slope-intercept form,

we require the slope as well as the y-intercept

Finding the slope:

We know that slope of a line is Rise / Run

Since from the graph, we notice that the difference of 2 consecutive x-coordinates is 1

Hence, we have the x-coordinates at an interval of 1 and since the slope of a line is defined as the units ascended by the line after covering 1 unit in the x-coordinate

change in y = y[tex]_{n}[/tex] - y[tex]_{n-1}[/tex]       (where n is the number of row in the table)

change in y = 31 - 23

change in y = 8 = Rise

Run = 1 (Since the interval in the table is 1)

Slope = Rise / Run

Slope = 8 / 1

Slope  = 8

Finding the y-intercept:

We need the y-coordinate at x = 0

Going up from the third row, we notice that for every unit decreased in the x-coordinate , 8 units of the y-coordinate are decreased (since the slope =8)

In that case, the y-coordinate of every decreased x-coordinate will be 8 less than the last one

so we can say that the y-coordinate of x = 1 will be 8 less than 23 since x=1 is one less than x = 2

similarly, we can also say that the y-coordinate of x = 0 will be 8 less than (23-8) since x = 0 is one less than x = 1

Therefore, the y-coordinate at x =0

y = (23-8-8)

y-intercept  = 7

Making the Equation:

We need to write the equation in the form:

y = ax + b (where a is the slope of the line and b is the y-intercept)

Replacing the known values, we get

y = 8x + 7

Therefore, the equation of the formula shown in the table is y = 8x + 7

Answer:

d = 3√3

Step-by-step explanation:

cos(ACB) = AC/BC

cos(30°) = 9/BC

BC = 6√3

AB² + AC² = BC²

d² + 9² = (6√3)²

d = 3√3

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

635,298

Step-by-step explanation:

We can group these by base ten values. 6 hundred thousands, 3 ten thousands, 5 thousands, 2 hundreds, 9 tens, and 8 ones. When putting them into place, we can go by order in which we will ger 635298

Answer:

635,298

Step-by-step explanation:

add all the numbers together to get the sum of your answer.

Answer:

I found the area its 168, I converted it to square yards 0.12963.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula

Area = (b1 + b2) * h /2

Givens

b1 = 5       yards

b2 = 23    yards

h = 12       yards

Solution

Area = (5 + 23)*12 / 2

Area = (28)*12/2        Divide by 2

Area = 28*6               Combine

Area = 168                  Yards^2