Can anyone solve the problem on the picture?

Can Anyone Solve The Problem On The Picture?

Answers

Answer 1

Quotient:

[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]

Remainder:

[tex]f(x) = 9x^2+68x+35[/tex]

By the remainder theorem,

[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]

Which is the remainder when f(x) is divided by (x+7)


Related Questions

Please help me with this MATH question.

Answers

Answer:

y=4

Step-by-step explanation:

84=30y-9y, first you collect like terms.

84=21y, swap the sides

21y=84, devide both sides and you get y =4

What is the value of x?

Answers

Answer:

x=23

Step-by-step explanation:

3x+4x+19=180 is the equation you would set up because the two angles added up would be 180 degrees.

:))

A car accelerates
at a rate of 7 m/s2. If its
original speed is 13 m/s, how many seconds will it take the car to reach a
final speed of 62 m/s?

PLEASE SHOW WORK

Answers

Answer:

7 Seconds

Step-by-step explanation:

This is kinematics

Vf=Vi+at

t=[tex]\frac{Vf-Vi}{a}[/tex]

t=[tex]\frac{62-13}{7}[/tex]

t=[tex]\frac{49}{7} =7[/tex]

656nm into m plzzzzzzzz​

Answers

Answer:

[tex]6.56\times10^{-7}[/tex]

Step-by-step explanation:

[tex]1nm[/tex] is equal to [tex]1\times 10^{-9}m[/tex] so you have the next relation

[tex]\frac{1nm}{1\times 10^{-9}m} = \frac{656nm}{x}[/tex]

Then isolating [tex]x[/tex] you have

[tex]x = \frac{6.56\times 10^{2}nm \cdot 1\times 10^{-9}m}{1nm} = 6.56\times 10^{-7}m[/tex]

Find the quotient. 1,329 ÷ 4

Answers

Answer:

Quotient is basically division.

Step-by-step explanation:

1329/4 is basically

332.25 is the answer

hello,can someone help me with these 2 i dont really get them‍

Answers

Answer:

7. The area should be 32. Multiply 5 by 4 to get 20. Find the missing length to multiply by 3, which is 4, and multiply. 3 * 4 = 12. Add 20 + 12 and get 32 cm.

8. The area should be 70. You did pretty well, but when finding the area of a triangle, divide the product by 2, or multiply by 0.5. 5 * 8 = 40/2 or 40 * 0.5 which both equal 20. 50, plus the area of the triangle, 20, will get you 70.

which of the following values are solutions to the inequality 9≤3x+4​

Answers

Answer:

x≤5/3

So any number at 5/3 or above is a solution

Step-by-step explanation:

Subtract 4 on both sides:

5≤3x

Divide 3 on both sides

x≤5/3

So any number at 5/3 or above is a solution

Hope this helps!

you are on a boat in the ocean at point A you locate a lighthouse at point D beyond the line of sight of the marker at point C you drive 0.2 miles west to point B and then 0.1 miles south to point C you drive 0.3 miles more to arrive at point E which ie due east of the lighthouse. what is the distance from point E to the lighthouse

Answers

Answer:

It is 0.6 miles

Step-by-step explanation:

The area of a trapezoid is 65mm2, the top is
9mm long, the height is 11mm long.

Find the base of the trapezoid.

Answers

Answer:

[tex]2.\bar{81}mm[/tex]

Step-by-step explanation:

First the formula for find the are of a trapezoid is:

[tex]A = \frac{h(a+b)}{2}[/tex]

Where [tex]a[/tex] is the top, [tex]h[/tex] the height and [tex]b[/tex] the base measures.

Then we need to know what is the base ([tex]b[/tex]), for that isolate [tex]b[/tex] from the equation

[tex]2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b[/tex]

Then in the new equation replace the given values:

[tex]A = 65mm^2\\a = 9mm\\h = 11mm[/tex]

[tex]\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b[/tex]

So the final answer is [tex]2.\bar{81}mm[/tex]

please what is the answer fast very

Answers

Answer:

The answer is A (-2)^3 * 6^3

If the price of a particular chocolate bar is increased by 40%, and it used to be $2, what is the new price after the increase?

Answers

Answer:

6$

Step-by-step explanation:

2+4=6

20%+40%=60%

The new price after the increase is $2.8 .

What is percent increase?

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. In other words, it is the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.

According to the question

The price of chocolate bar = $2

The price of a particular chocolate bar is increased by 40%,

i.e

The percent increase in the price of chocolate bar = 40%

Now,

increase prize :

= [tex]2*\frac{40}{100}[/tex]

= $0.8  

The new price after the increase

= $2.8

Hence, the new price after the increase is $2.8 .

To know more about  percent increase here:

https://brainly.com/question/13533684

#SPJ2

Please help



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:$):’jfidifkvk

Answers

Answer:

For the question a i think its b

Step-by-step explanation:

Find a
rational number between 3 and pi

Answers

Answer:

3.1

Step-by-step explanation:

3.1 probably :))))));(;):):((/(/(/(/(/(/(/(

The temperature of a pan of water on the stove increases steadily from 22°C to 100°C at a rate of 8°C per minute. The temperature after 5 minutes is what.

Answers

Answer:

ui100

Step-by-step explanation:

125

The temperature of a pan of water on the stove after 5 minutes would be 40°C.

What is temperature?

Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.

The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.

We need to find the temperature after 5 minutes.

Rate of temperature per minute = 8°C

Rate of temperature after 5 minutes = 8°C × 5

                                                            = 40°C

Therefore, the temperature after 5 minutes would be 40°C.

Learn more about temperature;

https://brainly.com/question/11464844


Find -5(-12) + (-15)
With explanation please i forgot how to do it

Answers

Answer:

45

Step-by-step explanation:

-5(-12)+(-15)

--> Multiply -5 and -12 to get 60

60-15

--> Subtract 15 from 60 to get 45

Hope this helps you!


there’s no actual question just this picture & multiple choices , please help .

Answers

Answer:

12

Step-by-step explanation:

There is a right angle formed, hence this triangle is a right-angled triangle.

Using Pythagoras Theorem,

[tex]a^2+b^2=c^2[/tex]

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400[/tex]

[tex]b^2=400-256=144[/tex]

[tex]b=12[/tex]

The missing length is 12

At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50

Answers

Answer:

letter D

Step-by-step explanation:

it's my guess I think it's correct

Find the median of the first 13 natural numbers

Answers

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

35,000 is invested at 5% compound interest.What is the interest at the end of three years​

Answers

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

find x if mi = 3x - 5 and mj = x + 5

Answers

3x - 5 = x + 5
combine like terms
2x = 10
divide to get x by itself
x = 5

help meeeee points on the line help

Answers

Answer:

4(7+6)

Step-by-step explanation:

first find GCF

prime factorize

28= 2*2*7 24=2*2*2*3

only common factor is 2

there are at least 2 2s in each

apply

4(7+6)

please help, this is due today:

Answers

Answer:

x = 17

Step-by-step explanation:

∠ DCE = ∠ ACE ( vertically opposite angles )

The sum of the 3 angles in a triangle = 180° , then

∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x

∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x

Equating the 2 angles

80 - x = 131 - 4x ( add 4x to both sides )

80 + 3x = 131 ( subtract 80 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

will give brainliest
g(x) = 2x + 4
h(x) =-3x + 4
Find (goh)(x)

Answers

Answer:

g(x)o(x) = -6x²-4x+16

4,505 in expanded form​

Answers

Expanded: 4000+ 500+ 00+ 5

plz help look at the pic below

Answers

Answer:

You can use the exponential rule where

[tex](n^x)^y=n^{xy}[/tex]

Therefore,

[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]

[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]

(a^m)^n=a^mn

[tex]\\ \rm\leadsto a^{-6}[/tex]

[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]

Question in the picture

Answers

Answer:

X = 73, Y = 138

Step-by-step explanation:

How would I graph this equation: 3x + 9y = −18

Answers

We have 3x + 9y = -18
=> 3(x + 3y) = -18
=> x + 3y = -3
=> x + 3 = -3y

Ok done. Thank to me :>

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8

Answers

Answer:

Step-by-step explanation:

y - 4 = -2(x - 6)          It might be easier to do if we removed the brackets and collect like terms.

y - 4 = -2x + 12          Add 4 to both sides

y = - 2x + 4 + 12        Combine

y = - 2x + 16

It's not one because -6*-2 + 16 = 28 for y.

It's B

y = -2 * 6 + 16

y = - 12 + 16

y = 4

(6,4) is the answer.

c: doesn't appear to be right. Any minus sign is going to make the number in front of x  + which only adds to 16 making bigger.

d: -2*4 + 16 = - 8 + 16 = 8 which is incorrect. The answer should by 6 not 8

can someone help me please​

Answers

Answer:

  a) interior angle: 156°

  b) exterior angle: 24°

Step-by-step explanation:

b)

The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...

  360°/15 = 24°

__

a)

The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...

  180° -24° = 156°

_____

Additional comment

We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.

2m+m=24
[tex]2m + m = 24[/tex]
I don't know ​

Answers

Answer:

m = 8

Step-by-step explanation:

2m + m = 24 ( collect like terms on left side )

3m = 24 ( divide both sides by 3 )

m = 8

Answer:

m = 8

Step-by-step explanation:

2m + m = 24

3m = 24

(3m)/3 = (24/3)

m = 8

Check:

2*8 + 8 = 24

16 + 8 = 24

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