y = 3x + 3 using a
{-2, 1, 2}

If x = -4 is a root of f(x), then dividing f(x) by x + 4 leaves a remainder of 0.

Compute the quotient,

(x³ - kx + 12) / (x + 4)

x³ = x² • x, and

x² (x + 4) = x³ + 4x²

Subtract this from the dividend (f(x)) to get an initial remainder of

(x³ - kx + 12) - (x³ + 4x²) = -4x² - kx + 12

-4x² = -4x • x, and

-4x (x + 4) = -4x² - 16x

Subtract this from the previous remainder to get a new one of

(-4x² - kx + 12) - (-4x² - 16x) = (16 - k) x + 12

(16 - k) x = (16 - k) • x, and

(16 - k) (x + 4) = (16 - k) x + 64 - 4k

which gives the next remainder,

((16 - k) x + 12) - ((16 - k) x + 64 - 4k) = 4k - 52

4k - 52 does not divide x, so we're done and what we've shown is

f(x) / (x + 4) = x² - 4x + 16 - k + (4k - 52)/(x + 4)

(just gathering the bold terms above and the last remainder)

The remainder should be 0, so that

4k - 52 = 0

4k = 52

k = 13

Answer:

c - 8 ≥ 25

Step-by-step explanation:

===============================================

Work Shown:

f(x) = |x+1|

f(-5) = |-5+1| .... x is replaced with -5

f(-5) = |-4|

f(-5) = 4

Answer: Bottom Left

Step-by-step explanation:

Answer:

bottom left

Step-by-step explanation:

cuz it makes sense

Answer:

length is 7cm, and the width is 4cm

Step-by-step explanation:

The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.

The area of the frame = Length * Width

A = LW

If the length of a picture frame is 1cm less than twice the width, then;

L = 2W - 1

Substitute into the formula;

A = (2W-1)W

A = 2W^2 - W

28 = 2W^2 - W

2W^2 - W - 28 = 0

2W^2 - 8W +7W- 28 = 0

2W(W-4)+7(W-4) = 0

2W+7 = 0 and W - 4 = 0

W =- -7/2 and W = 4

Width cannot be negative

W = 4cm

Since A = LW

L = A/W

L = 28/4

L = 7cm

Hence the length is 7cm, and the width is 4cm

Answer:

I don't know exactly what you need but I have two ways.

Step-by-step explanation:

if you need to make an example: 6x55+ 6(3f-12)= or something along those lines.

or if you just need that answer then 330

I'm sorry if that's not what you were wondering

Answer and Step-by-step explanation:

7 visits

Step-by-step explanation:

All I did was minus 16 from 37 to get 21, then divided that by 3.

Answer:

200

Step-by-step explanation:

Find 60 kilos then just follow the line up till you reach the blue line  

9514 1404 393

Answer:

  A.  2k -13

Step-by-step explanation:

-3(2 +4k) +7(2k -1)

= -6 -12k +14k -7 . . . . . . eliminate parentheses

= (-12 +14)k -6 -7 . . . . . . group like terms

= 2k -13 . . . . matches choice A

Answer:

C

Step-by-step explanation:

Answer

it is: C

Step-by-step explanation:

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:

y-intercept (b) = -5

✔️using two pairs from the table, (1, -1) and (2, 3):

[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 -(-1)}{2 - 1} = \frac{4}{1} = 4 [/tex]

Slope = 4

✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.

Thus:

y = 4x +(-5)

y = 4x - 5

Answer:

here is the ratio  1 : 1.25   (sharks: dolphins)

Step-by-step explanation:

The ratio of sharks to dolphins is 4 : 5

Suppose the  real measurements were "a" and "b"

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

Given Number of sharks = 4

Number of dolphins = 5

Therefore, the ratio of sharks to dolphins

= 4 : 5

Or  1 : 1.25

Number of animals = number of sharks + number of dolphins

Number of animals = 4 + 5 = 9

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

Answer:

28%

Step-by-step explanation:

hope this helps, have a good day

Answer:

4 : 15 is the answer for 60 : 75 to the lowest term

Answer:

556

Step-by-step explanation:

formula

L = a + (n - 1)*d

Givens

n = 70

a = 4

d = 8

Solution

t = 4 + (70 - 1)*8

t = 4 + 69*8

t = 4 + 552

t = 556

Answer: For This Specific Question it is B, But there is a question very similar that doesn't have the pi's in the equation and the answer to that one is A.

Step-by-step explanation: Very sorry if this is confusing :)

Pythagorean identities are three basic identities for trigonometric ratios. The equation that is of the form [tex]\sin^2(\pi) + \cos^2(\pi) =1[/tex] is given by: Option B: [tex]0^2 + (-1)^2 = 1[/tex]

Equations which shows that the Pythagorean identities are true will be verifying them for some specific angles. For that we need to know about Pythagorean identities.

[tex]sin^2(\theta) + cos^2(\theta) = 1\\\\1 + tan^2(\theta) = sec^2(\theta)\\\\1 + cot^2(\theta) = csc^2(\theta)[/tex]

Using the first Pythagorean Identity to get one of its special case

For angle being [tex]\pi[/tex] radians(or equal to 180 degrees), we have:

[tex]sin(\pi) = 0\\cos(\pi) = -1[/tex]

Thus, for the first Pythagorean identity at angle [tex]\pi[/tex] radians, we get:

[tex]sin^2(\pi) + cos^2(\pi) = 1\\\\0^2 + (-1)^2 = 1[/tex]

Thus, the equation that is of the form [tex]\sin^2(\pi) + \cos^2(\pi) =1[/tex] is given by: Option B: [tex]0^2 + (-1)^2 = 1[/tex]

Learn more about Pythagorean identities here:

https://brainly.com/question/24287773

9514 1404 393

Answer:

  a) no

  b) yes

Step-by-step explanation:

a) You cannot draw the graph around x=0 without lifting your pencil. The function is not continuous at x=0.

__

b) You can draw the graph around x=1 without lifting your pencil. The function is continuous at x=1.

_____

Additional comment

In technical terms, the limit from the left at x=0 is 2; the limit from the right is 3. These are different, so the function is not continuous there.

On the other hand, the left and right limits at x=1 are the same (both 2), and are equal to the value of the function at that point (f(1)=2). Hence, the function is continuous at x=1.

Answer:

I think that it is

C

Please let me know if it is not correct!!!!

Answer:

A would most likly be the answer

Step-by-step explanation:

because in the equation sinse A =  -5 1/4 which is whe he was at the end hopefully you understand

Answer:

e. 79/30     f.   18.2

Step-by-step explanation:

Answer:

10 millimeters

Step-by-step explanation:

Don't listen to the other answerer who was trolling, I will actually help you. To find how long his beard was when he fell asleep, we need to find the y-intercept. The y-intercept marks how long his beard was right when he fell asleep. From looking at the graph, we can see that the y-intercept is 10. This means his beard was 10 millimeters long when he fell asleep. I hope this helps!

Answer:

10 meters

Step-by-step explanation:

if you look at the start os the graph, I shows that the Y intercept is 10, therefore, the answer is 10 meters.

- a friendly 8th grader :)

It is E

Duhhhhhhhhhhhhh

Answer:

brainlest?

Step-by-step explanation:

......

Answer: I looked it up and got a couple of answers of spatial reasoning. Don’t know if that helps but yeah thats what I got lol

Step-by-step explanation:

Answer:

12.75 Its correct

Step-by-step explanation:

Answer:

12.75

Step-by-step explanation:

Answer:

d(c(3))=30I5

Step-by-step explanation:

C(3)=5×9+3 +7=55

d(c(3))= ( 55)^2-10= 3O 15

Answer:

Solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

Step-by-step explanation:

We need to simplify the radical: [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex]

Prime factors of 18 are: 2x3x3

Replacing [tex]\sqrt{18}[/tex] with its factors

[tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})[/tex]

We know that [tex]\sqrt{3^2}=3[/tex]

[tex]=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})[/tex]

Multiplying [tex]4\sqrt{2}[/tex] with terms inside the bracket

[tex]=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}[/tex]

We know that [tex]\sqrt{2} \sqrt{2}=2[/tex]

[tex]=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72[/tex]

So, solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

Answer:

Step-by-step explanation:

AC ≅ AD ; BC≅ BD                      Given

AB ≅ AB                                        Reflexive property of congruence

ΔACB ≅ ΔADB                              Side Side Side Postulate