Find the value of x so that the function has the given value.

n ( x ) = 4x + 15; n ( x ) =7


plz help

Answer:

B, E, and F.

Step-by-step explanation:

We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).

Looking at the coefficients, we can see that our dividend is:

[tex]3x^2-11x+10[/tex]

Our divisor will be (x - a), where a is the number on the very top left.

So, a = 2.

Thus, our divisor is:

[tex](x-2)[/tex]

Note that our remainder is 0.

So, the synthetic division shown is telling us that:

[tex]( 3x^2 - 11x + 10) \div (x-2) = 3x - 5[/tex]

Hence, E is the correct choice. A uses the incorrect divisor.

If the divisor successfully divides with no remainder, then the divisor is a factor.

Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.

Hence, B is also correct.

C uses the wrong factor.

D uses the wrong value. It should be positive 2.

So, F is the correct choice.

Therefore, the answers are: B, E, and F.

Answer:

10x + 14

Step-by-step explanation:

begin by distributing the numbers outside of your parentheses:

4x + 4(6)    +     6x - 2(5)

4x + 24 + 6x -10

then just combine like terms:

4x + 6x      +      24 - 10

10x + 14

Answer: 48

Step-by-step explanation:

add 8 to both sides

-8 and 8 both cancel out and 40 and 8 add to 48

Answer

GCF is 1 and the x is

Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ... A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are called the common multiples of those numbers.

Answer:

its five

Step-by-step explanation:

Answer:

[tex]a = 2[/tex] and [tex]b = 4[/tex]

Step-by-step explanation:

Given

The expression is:

[tex]\frac{x^2 + ax - 4}{x + 2} + \frac{x + b}{x + 2} = x + 1[/tex] --- missing from the question

Required

Find a and b

Take LCM

[tex]\frac{x^2 + ax - 4+x + b}{x + 2} = x + 1[/tex]

Cross Multiply

[tex]x^2 + ax - 4+x + b = (x+2)*(x + 1)[/tex]

Open brackets

[tex]x^2 + ax - 4+x + b = x^2+2x + x + 2[/tex]

[tex]x^2 + ax - 4+x + b = x^2+3x + 2[/tex]

Collect Like Terms

[tex]x^2 + ax +x + b- 4 = x^2+3x + 2[/tex]

[tex]x^2 + (a +1)x + b- 4 = x^2+3x + 2[/tex]

By comparing the coefficients:

[tex]a + 1 = 3[/tex]

[tex]a = 3 - 1[/tex]

[tex]a = 2[/tex]

[tex]b - 4 = 2[/tex]

[tex]b = 4[/tex]

Hence,

[tex]a = 2[/tex] and [tex]b = 4[/tex]

Answer:

a = 2

b = 6

Edg 2021

Answer: 12

Step-by-step explanation: 42/7 = 6 and you get 2 free passes so 6 x 2 = 12

Answer:

300

Step-by-step explanation:

5 times 6 is 30. 30 times 10 is 300. l times w times height. So 300 is the answer

Answer:

300

Step-by-step explanation:

The formula is length x width x height

So it would be 5 x 6 x 10 which equals 300! :)

Answer:

16.9659

Step-by-step explanation:

you have to divide the circumference by pi, then you will have your diameter, after that you have to divide the diameter by 2 to get your radius

Answer:

(35 - 4)/2 = w and 15.5kg

Step-by-step explanation:

To get the weight of both bags you would have to first subtract the backpack's weight from the total weight. 35 - 4 = 31. Now divide by 2 to get the weight of one bag. 31/2 = 15.5. Each bag weighs 15.5 kg

Answer:

5,809 m^2

Step-by-step explanation:

50/2=25 m

25^2 times 3.14=1,962.5 m^2

70/2=35 m

35^2 times 3.14=3,846.5 m^2

1,962.5+3,846.5=5,809 m^2

Answer:

67.3684% or 67%

Step-by-step explanation:

percent increase = 100 X (final amount-initial amount)/(initial amount)

so

percent increase = 100 X (159-95)/95

159 - 95 = 64

64/95 = 0.6736842105263158

0.6736842105263158 X 100 = 67.36842105263158

Answer:

67% increase

159 is 167% of 95, which means this is a 67% increase.

Answer:

15.4z-12

Step-by-step explanation:

Answer:

50.6x + 75.9

Step-by-step explanation:

25.3(2x+3) = 50.6x+75.9

Answer:

12

Step-by-step explanation:

So 4:5:6 = 45

4+5+6 = 15

45/15 = 3

Since 4 is the smallest, 4*3 = 12.

Hope this works!

Answer:

Step-by-step explanation:

This is a question worth knowing how to do. It is prime candidate for a test question.

Equation

Let the unit be x

therefore

4x + 5x + 6x = 45

Solution

15x = 45

x = 45/15

x = 3

The shortest piece is 4*3 = 12

The middle piece = 5*3   = 15

The longest piece = 6*3 = 18

Total                                    45

Answer:

The other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]

Step-by-step explanation:

Given

Polynomial: [tex]x^4 + 2x^3 - 8x - 16[/tex]

Factor: [tex]x + 2[/tex]

Required

Find other factors

[tex]x^4 + 2x^3 - 8x - 16[/tex]

Group into two

[tex]x^4 + 2x^3 - 8x - 16 = (x^4 + 2x^3) - (8x + 16)[/tex]

Factorize:

[tex]x^4 + 2x^3 - 8x - 16 = x^3(x + 2) -8 (x + 2)[/tex]

Factor out common term

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 -8)(x + 2)[/tex]

Rewrite [tex]x^3- 8[/tex] as [tex]x^3 + 2x^2 - 2x^2+ 4x - 4x - 8[/tex]

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 - 2x^2+ 4x - 4x - 8)(x + 2)[/tex]

Rearrange the terms

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 + 4x - 2x^2 - 4x - 8)(x + 2)[/tex]

Factorize

[tex]x^4 + 2x^3 - 8x - 16 = (x(x^2+2x+4)-2(x^2+2x+4))(x + 2)[/tex]

Factor out [tex](x^2+2x+4)[/tex]

[tex]x^4 + 2x^3 - 8x - 16 = (x-2)(x^2+2x+4)(x + 2)[/tex]

So, the other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]

Answer:

(-1,4)

Step-by-step explanation:

Point B in the pre-image is at (-1,4).

If triangle ABC is reflected over the x‐axis, the y-coordinate changes to its negative value, thus we have the transformation:

Next, if the point (-1,-4) is reflected over the y‐axis, the x-coordinate changes to its negative, Thus, we have the transformation:

Finally, a rotation by 180 degrees will give the coordinates of B' as:

The point B' will lie in (-1, 4) [ the same place as B].

The coordinates of point B' are [tex](-1,4)[/tex]. So, the first option is correct.

Given:

The vertices of a triangle ABC are [tex]A(-2,1), B(-1,4)[/tex] and [tex]C(-4,5)[/tex].

Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.

To find:

The point B'.

Solution:

If a figure reflected over x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]B(-1,4)\to B_1(-1,-4)[/tex]

If a figure reflected over y-axis, then

[tex](x,y)\to (-x,y)[/tex]

[tex]B_1(-1,-4)\to B_2(-(-1),-4)[/tex]

[tex]B_1(-1,-4)\to B_2(1,-4)[/tex]

If a figure rotated 180 degrees about the origin, then

[tex](x,y)\to (-x,-y)[/tex]

[tex]B_2(1,-4)\to B'(-(1),-(-4))[/tex]

[tex]B_2(1,-4)\to B'(-1,4)[/tex]

So, the coordinates of point B' are [tex](-1,4)[/tex].

Therefore, the first option is correct.

Learn more:

https://brainly.com/question/12907061

Answer:

Step-by-step explanation:

Use triangle inequality theorem, which states

"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."

The sum of two sides compared to the remaining side:

The sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

40 divided by 8 = 5

5 x 6 = 30

hope this helps!

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

you have to divide 40 by 8 which is 5 and 5 x 6 is 30 hope you have a great day

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3 = 36π

r³ = 27

r = ∛27 = 3 ft³

surface area of sphere = 4πr² = 36π ft²

Answer:

It does satisfy the equation y=x+2

Step-by-step explanation:

To find if it satisfy the equation y=x+2 is by subsituting x with -84 and y with -82

-82=-84+2

2-84= -82

-82=-82 which is true so it satisfy the equation

Answer:

Step-by-step explanation:

Volume of the pyramid:

Volume of the prism:

Since all dimensions remain as is, the volume of the prism is:

Answer:

C

Step-by-step explanation:

Because the quadruple x is equal to 9

Answer:

A

Step-by-step explanation:

-3(x-p)2+g=0

-3x2+12x=10

-3(x2-4x)=10

-3(x2-4x+4)=10+12

x2-4x+4 = (x-2)2

-3(x-2)2=22

-3(x-2)2-22=0

q = -22

Answer:

A

Step-by-step explanation:

Answer:

59 m

Step-by-step explanation:

16 + 15 + 13 + 15 = 59

Hi there!

Hope this helps!

y could be anything so I made it less than 4.

Answer:

l.mao you could just send a picture, it's a bit hard to actually answer any of the questions if it's jam-packed like that

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

Learn more about the ratio visit:

https://brainly.com/question/12024093

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