Remainder Theorem: When f(x) = ax³ + 7x² - 7x - 3 is divided by x - 1, the remainder is 7. Find the value of the constant (a)

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Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k)are the coordinates of the centre and r is the radius

Given

2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )

x² + y² - 2x + 8y = 64 ( collect x and y terms together )

x² - 2x + y² + 8y = 64

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16

(x - 1)² + (y + 4)² = 81 ← in standard form

with centre = (h, k ) = (1, - 4 ) → C

Answer:so: 6=6/5-x^3

6=6(5-x^3)

6=30-6x^3

-6x^3=6-30

-6x^3=-24

-6x^3+24=0

6x^3-24=0

6(x^3-4)=0

x^3-4=0

x^3=4

x=cube root 4

x=1.5874

Step-by-step explanation:

Step-by-step explanation:

4 1/2 = 9/2

so, the calculation is simply how often 3/4 fits into 9/2.

and that is done by division :

9/2 / 3/4

and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.

so,

9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6

so, without any breaks the teacher can schedule 6 lessons each night.

Answer:

4.79 + 23.6

Try this, let me know if I'm wrong.

Answer:

A

Step-by-step explanation:

because this is right

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]

A linear function is represented as:

[tex]\mathbf{y = mx + b}[/tex]

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

[tex]\mathbf{10900 = 5m + 9200}[/tex]

Subtract 9200 from both sides

[tex]\mathbf{1700 = 5m}[/tex]

Divide both sides by 5

[tex]\mathbf{340 = m}[/tex]

So, we have:

[tex]\mathbf{m =340 }[/tex]

The function becomes

[tex]\mathbf{y = mx + b}[/tex]

[tex]\mathbf{y = 340x + 9200}[/tex]

In the academic year 2023-2024, x = 9.

So, we have:

[tex]\mathbf{y = 340x + 9200}[/tex]

[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]

[tex]\mathbf{y = 3060 + 9200}[/tex]

[tex]\mathbf{y = 12260}[/tex]

Hence, the cost of tuition and fees is $12260

Read more about linear functions a:

https://brainly.com/question/21107621

Answer:

17

Step-by-step explanation:

20 divided by 5 + 19 - 6

20 divided by 5 = 4

4 + 19 = 23

23 - 6 = 17

Answer:

2

Step-by-step explanation:

It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer

Answer: a) side length = perimeter ÷ 8

b) 11cm

Step-by-step explanation:

side length = the perimeter ÷ 8( there are 8 sides in an octagon)

= 88 ÷ 8

= 11cm

hope u understand

Step-by-step explanation:

altitude here is represent by height ok in this case...

if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...

and the information from the question just sun it into the tan formula...this is trigo...

then u add the value to get the total distance..

the answer is 13.87km

hope u understand...

Answer:

x=–4, y=1

Step-by-step explanation:

adding the 2 equations, we see the X's go away and we are left with: 10y=10. we can simplify and solve for y by dividing both sides by 10 and we are left with y=1

plugging 'y=1' into the fist equation we get: -7x+6=34. we can now solve for x by subtracting 6 from both sides and dividing both side by –7, so we are left with: x=–4

we can check by plugging both x and y into one of the original equations:

-7(-4)+6(1)=34

28+6=34

34=34✓

Answer:

To make students question their existence

Step-by-step explanation:

Answer:600-30 precent is $420 so is you increase it by 30 precent it would be

420 + (30% × 420) =

420 + 30% × 420 =

(1 + 30%) × 420 =

(100% + 30%) × 420 =

130% × 420 =

130 ÷ 100 × 420 =

130 × 420 ÷ 100 =

54,600 ÷ 100 =

546

Step-by-step explanation:

so 546 if wrong i am sorry

Answer:

d = h x 3+2

Example

The formula h=d/3+2

h = 15

d = h x 3+2

d = 15 x 3+2

d = 15 x 5

d = 75

To check the answer is correct

h = 75/5

h = 15

Answer:

so substitute x with 6

y = 4 + 36 + 1

so y or f(x) would = 41

Answer:

f(6) = 109

Step-by-step explanation:

Given polynomial:

To Find:

Solution:

Here,in order to find f(6), substitute x = 6 onto the polynomial given:

Now Simplify using PEMDAS rule.

Hence, f(6) will be 109.

Answer:

  13 refrigerators and 7 pianos will NOT overload the truck

Step-by-step explanation:

For x refrigerators, their total weight is 300x.

For y pianos, their total weight is 525y.

The total weight of both of these together must not exceed 7600, so the inequality is ...

  300x +525y ≤ 7600

__

The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.

__

Check

  300(13) +525(7) = 7575 . . . this is less than 7600

Answer:

Step-by-step explanation:

Represent the number of refrigerators by r and that of pianos by p.

Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.

Find the total weight of the load consisting of 13 refrigerators and 7 pianos.   The inequality given above becomes:

w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb

w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:

w(13, 7) = 3900 lb + 3675 lb = 7575 lb

Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.

Now

Volume=

Option B

Answer:

g=7

Step-by-step explanation:

5.1 times 7 is 35.7

Answer:

Step-by-step explanation:

5.1g = 35.7

g = 35.7 / 5.1

= 7.

Answer:

b-30

Step-by-step explanation:

1/2b-30×2=b-30

hope this helpd

Answer: Number of weeks

Step-by-step explanation:

Just did it on Ed

Answer:FINDING A SCALE FACTOR Your visually impaired friend asked you to enlarge your notes from class so be can study. You took notes on 8.5-inch by 11-inch.

Step-by-step explanation:thank you

The scale factor is 20/17.

According to the question, you took notes on a paper with dimensions 8.5 inches × 11 inches.

the breadth of the paper is 8.5 inches

the length of the paper is 11 inches

Now, to make an enlarged copy, you used a paper that has its smaller side dimension of 10 inches.

Which means the breadth of the new paper is 10 inches.

So, if we calculate the ratio of the breadths we get the scale factor.

          k = 10 / 8.5

        k = 20/17 is the scale factor of dilation.

Learn more about scale factor:

https://brainly.com/question/20341092

Answer:

slope = 10 , y- intercept = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 10x - [tex]\frac{1}{3}[/tex] ← is in slope- intercept form

with slope m = 10 and y- intercept c = - [tex]\frac{1}{3}[/tex]

Answer:

6h+5

Step-by-step explanation:

7h-h=6h

1+4=5

Hope this helps :)

Answer:

6h + 5 is the correct answer

Step-by-step explanation:

7h + 1 - h + 4

7h + 1 + 4 - h

7h + 5 - h

6h + 5

hope this helped!

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Answer:

Answer:

5/2

Step-by-step explanation:

please mark me brainiest

1/10 = 10%

a percent is

[tex] \frac{part}{whole} = \frac{x}{100} [/tex]

If u take 1/10, 10 is one tenth of 100 (10*10=100).

Answer:

which kind?

Step-by-step explanation:

Answer:

4.5 + 19.75 = 24.25

Find your missing digits with the equation above

Answer:

  (a)  1

Step-by-step explanation:

The number of significant digits in the answer will be the minimum of the numbers of significant digits in the factors. Here, the value with only 1 significant digit is (1).

  1 most affects the number of significant digits in the answer

Answer:

-2

Step-by-step explanation

range is just the y level, so the lowest point on the y axis that the function reaches is -2