Find the remainder when the polynomial 9x2 - 4x - 7 is divided by x - 3.

Answers

Answer 1

Answer: 62

Step-by-step explanation:

[tex]\displaystyle\bf 9x^2-4x-7 =0 \\\\ Synthetic \ \ division\ \ if \ \ x-3 =0 => x=3 \\\\ then \ \ 3| \underline{ \ 9 \ | \ -4 \ | \ -7 \ | } \\\\ . \!\! \qquad\qquad +|3*9| \ \ 23*3 | \\ .\!\!\!\!\!\1 \qquad \qquad \qquad | \ 23 \ | \ \ \ \boxed{62}[/tex]


Related Questions

Some help me with this pls.

Find m

Answers

Answer:

The inscribed angle intercepts the circle's radius is always 90

Step-by-step explanation:

The numbers 8,x,9 and 36 are in proportion.Find x​

Answers

If you can give the proportion then it would be better.

I am asuming

8:x::9:36

Then 8:x::1:4

So x = 32

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 32

Step-by-step explanation:

[tex]\frac{8}{x}[/tex] = [tex]\frac{9}{36}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

x = 8 × 4 = 32

Vanessa and her friends are watching three movies consecutively. The first movie is 2 hours and 17 minutes long. The second movie is 84 minutes long, and the last movie is 99 minutes long. How much time will they spend watching the movies?

Answers

Answer:

320 minutes (5 hours and 20 minutes).

Step-by-step explanation:

2 hours and 17 minutes = 137 minutes

137 + 84 + 99 = 320

Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.

The mean age of 5 women in an office is 35 years old.
The mean age of 5 men in an office is 24 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

Answer:

29.5

Step-by-step explanation:

(5×35)+(5×24)/10

175+120/10

295/10

=29.5

The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax?

Answers

Answer:

The base cost of the camera, exclusive of sales tax, is $160.

Step-by-step explanation:

Set up this equation and solve for x, which is the cost of the camera:

$3.20 = $0.02x [0.02 = 2%]

Solve the equation by dividing $3.20 by 0.02. The answer is $160.

Answer: $160 for the camera

Step-by-step explanation:

0.2x160=3.2

$160

Please explain how you got the answer!

Answers

Answer:

One of the scenarios:

Reflection over y-axis, then Translation 1 unit right and 9 units down

Question 3 of 10
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Divide both sides by 3
D. Property. Addition property of equality
E. Property: Multiplication property of equality
DF Property Division property of equality

Answers

Answer:

C. Divide both sides by 3

Step-by-step explanation:

3x=12

3x/3=12/3

x=4

Find the missing length the triangles are similar

Answers

Answer:

Length of the missing side is 13

I hope it's helps you

Which represents the polynomial below written in standard form?

StartFraction x squared Over 2 EndFraction – 3x + 4x3 + 6
6 + StartFraction x squared Over 2 EndFraction – 3x + 4x3
4x3 + StartFraction x squared Over 2 EndFraction – 3x + 6
–3x + 4x3 + 6 + StartFraction x squared Over 2 EndFraction
StartFraction x squared Over 2 EndFraction + 4x3 – 3x + 6

Answers

Answer:

B. [tex]4x^3}+\frac{x^2}{2}-3x+6[/tex]

Step-by-step explanation:

The polynomial is [tex]\frac{x^2}{2}-3x+4x^3}+6[/tex]

To write in Standard form, the greatest exponent goes first, down to the least.

The greatest exponent is 3, so [tex]4x^3[/tex] goes first.

[tex]4x^3}+\frac{x^2}{2}-3x+6[/tex] is what you end up with

Answer:

B

Step-by-step explanation:

I took the test.

Find m arc DC.

Please help!

Answers

Answer:

51

Step-by-step explanation:

Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?

Answers

Answer:

Leo's weight at the end of the fourth week = 181.7 pounds

Step-by-step explanation:

Leo's initial weight = 190 pounds

First week = lost 4.3 pounds

New weight = 190 pounds - 4.3 pounds

= 185.7 pounds

Second week = lost 2.8 pounds

New weight = 185.7 pounds - 2.8 pounds

= 182.9 Pounds

Third week = gained 0.7 pounds

New weight = 182.9 pounds + 0.7 pounds

= 183.6 pounds

Fourth week = lost 1.9 pounds

New weight = 183.6 pounds - 1.9 pounds

= 181.7 pounds

Leo's weight at the end of the fourth week = 181.7 pounds

Alternatively

New weight = initial weight - first week - second week + third week - fourth week

= 190 - 4.3 - 2.8 + 0.7 - 1.9

= 181.7 pounds

Combine these radicals.




Anyone can help pls

Answers

C. -26 square root of 3

Can someone please help me with these questions (picture)

Answers

Step-by-step explanation:

Answer 1 to find the base to apply the Pythagoras theorem..of finding length..

Hypotenuse²= Base²+ Height²

So,

(H)²= (B)²+(H)²

12²= 8²+

144-64=

80=

80= y

2×2×2×2×5= y

2×25= y ( take one 2 from each pair)

45= y

hope it helps...

Answer:

4 sqrt(5); 41.0

Step-by-step explanation:

Question 7:

Using Pythagoras theorem:

y = sqrt(12^2 - 8^2)

y = sqrt(80)

y = 4 sqrt(5)

Question 8:

A = Area rectangle + Area circle

A = 2.4 × 4.4 + pi × 4.4^2 ÷ 2

A = 10.56 + 9.68 pi

A = 41.0

Round 31.908 to the nearest tenth.

Answers

Answer:

31.9

Your answer is 31.9.

it's nice helping uhh.

Answer:

31.9

Step-by-step explanation:

To round it to the nearest tenth, look at the hundredths place. Since it is 0, we cannot round up and therefore, the final answer is 31.9.

Can someone help me I don't know

Answers

Answer:

The answer would be (x-5, y-5)

Step-by-step explanation:

You can find this out by finding the difference between D(3,5) and D'(-2,1) (pr any other coordinate) which is -5 in both the x and y coordinates making the answer (x-5, y-5).

Which graph represents the step function f(x)=⌊x+2⌋?

Answers

Answer:

biyotiptol graph by using pen

2 Select THREE expressions that are equivalent to 16x - 68 A. -4(4x - 17) B-28x + 3) c. 21-8-34) D 4 - 4 - 17) E 8 - 2x-8)


pls help:(​

Answers

Answer:

Step-by-step explanation:

let's try a:

-4*4x-4*(-17) - expand the distributing terms

-16x-4*(-17) - simplify

-16x-(-68) - simplify again

-16x+68 - remove parentheses

-16x+68 does not equal to 16x-68

lets try b:

-28x+3... dont know what u mean

lets try c:

13-34 first

-21

lets try d:

0-17

-17

lets try e:

-2x+(8-8)

-2x

fortunally dont know what you mean.

help find the height

Answers

Answer:

A

Step-by-step explanation:

Heron's formula finds the area of any triangle.

Area = sqrt(s*(s - a)*(s-b)*(s-c) )

s = (a + b + c)/2

a = 8

b = 16

c = 12

s = 36/2 = 18

s-a = 18 - 8 = 10

s-b = 18 - 16 = 2

s-c = 18 - 12 = 6

Area = sqrt(18*10*2*6) = sqrt(2160)

Area = 12*sqrt(15)

Area = 46.4758

Now x is easily found. It is the altitude to 16

Area = 1/2 16 * h

46.4758 * 2 / 16 = h

h = 3*sqrt(15)/2

h= 5.81

Simplify the complex number √-16+8.

Answers

Answer:

[tex]\sqrt{-16} +8[/tex]

[tex]=4i+8[/tex]

OAmalOHopeO

PLEASE SOMEONE HELP ME!!!!!!

Answers

Answer:

(B)5 is the correct answer for the question

What is the measure of the missing length?

Answers

Use the Pythagorean theorem

? = sqrt(52^2 + 19^2)

? = sqrt(2704 + 361)

? = sqrt(3065)

Answer: sqrt(3065)

Look at picture for the answer

Find the missing side lengths

Answers

4 because a 45-45-90 triangle has a side ratio of 1-1-sqrt2 with sqrt2 being the hypotenuse

(ED. 21) Analytic Geometry Unit Test..... #3 Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?

Answers

Answer:

We want to find a solution of the system:

x^2 + y^2 > 49

y ≤ –x^2 – 4

Here we do not have any options, so let's try to find a general solution.

First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we look at our first inequality, we can write it as:

x^2 + y^2 > 7^2

So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.

From the other equation, we would get:

y ≤ –x^2 – 4

This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.

Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.

You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:

by looking at the graph, we can see a lot of points that are solutions, like:

(0, -10)

(0, -15)

(2, -10)

etc.

Answer:

C on Edge or (1,-9)

Step-by-step explanation:

You want to put a 3 inch thick layer of topsoil for a new 15 ft by 26 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.

Answers

Answer:

You will need to order 3.75 cubic yards of topsoil.

Step-by-step explanation:

Since you want to put a 3 inch thick layer of topsoil for a new 15 ft by 26 ft garden, and the dirt store sells by the cubic yards, to determine how many cubic yards will you need to order given that the store only sells in increments of 1/4 cubic yards, the following calculation should be performed:

3 inches = 0.25 feet

15 x 26 = 390 x 0.25 = 97.5

1 cubic yard = 27 cubic feet

97.5 cubic feet = 3.61 cubic yards

3.75 = 1/4 x 15

Therefore, you will need to order 3.75 cubic yards of topsoil.

The buyer for a chain of stores purchased kitchen tables in bulk, paying $32 each. The stores will sell each kitchen table for $58. What percentage is the mark-up?

Answers

Answer:

The markup is 81.25%

Step-by-step explanation:

Take the new price and subtract the original price

58 - 32

26

Divide by the original price

26/32

.8125

Change to percent form

81.25%

The markup is 81.25%


Evaluate the expression when a=3.
a^2 - 6a -5

Answers

Answer:

- 14

Step-by-step explanation:

a = 3

a^2 - 6a - 5

= 3^2 - 6 ( 3 ) - 5

= 9 - 18 - 5

= 9 - 23

= - 14

9-18-5= -9-5=-14

Just substitute 3 for a and solve.

3^2=3(3)=9
-6(3)=-18


The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?

Answers

Answer:

These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly

Step-by-step explanation:

help me pls??????? :)

Answers

Answer:4 in each bad 2 left over

Step-by-step explanation:

Answer:

4 in each bag and 2 left over

Step-by-step explanation:

divide 14 by 3

3 goes into 14, 4 times

14 - 12 = 2

4 in each bag and then 2 left over

What is the scale factor of this dilation?

A 2/3

B 1 1/2

C 3

D 5

Answers

Answer:

B. 1 1/2

Step-by-step explanation:

The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.

Find the x-intercept or the
y-intercept of 8x+2y=6.

a. (0,3)
b. (3,0)
c. (-3,0)
d. (0,-3)

Answers

0,3 is the y-intercept (wich is always at x=0)

see screenshot for illustration.

you meant y-intercept, right?

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