I do not understand what I'm supposed to do​

Let f(x) = ax ³ + bx ² + cx + d.

The graph of f(x) passes through (4, -22) and (3, -26), which means f (4) = -22 and f (3) = -26, so that

64a + 16b + 4c + d = -22

27a + 9b + 3c + d = -26

When the question says it has tangents at some point, I take that to mean the slope of the tangent line at that point is the given number. So f ' (4) = 11 and f ' (3) = -2. We have

f '(x) = 3ax ²+ 2bx + c

so that

48a + 8b + c = 11

27a + 6b + c = -2

Solve the system:

• Eliminate d :

(64a + 16b + 4c + d) - (27a + 9b + 3c + d) = -22 - (-26)

→   37a + 7b + c = 4

• Eliminate c :

(48a + 8b + c) - (27a + 6b + c) = 11 - (-2)

→   21a + 2b = 13

(48a + 8b + c) - (37a + 7b + c) = 11 - 4

→   11a + b = 7

• Eliminate b, then solve for a and the other variables:

(21a + 2b) - 2 (11a + b) = 13 - 2 (7)

-a = -1

a = 1   →   b = -4   →   c = -5   →   d = -2

Then

f(x) = x ³ - 4x ² - 5x - 2

Answer:

The answer is "0.586"

Step-by-step explanation:

Please find the solution to the given question:  

[tex]z= \frac{0.65-0.61}{\sqrt{\frac{0.65 \times 0.35}{100}+\frac{0.61 \times 0.39}{100}}}[/tex]

  [tex]= \frac{0.04}{\sqrt{\frac{0.2275}{100}+\frac{0.2379}{100}}}\\\\= \frac{0.04}{\sqrt{0.002275+0.002379}}\\\\= \frac{0.04}{\sqrt{0.004654}}\\\\= \frac{0.04}{0.0682202316}\\\\=0.586336327\\\\[/tex]

Answer:

3 out of 15 I believe is the answer

Step-by-step explanation:

there are 3 blue marbles so he already has a chance out of 3, then I believe you add them all together which is 15 :) hope this helps

Answer:

27

Step-by-step explanation:

The actual mean is 27.008333333333, round that as you will.

Answer:

27 is the answer

Step-by-step explanation:

Took the test and got it right

Answer:

320 pounds of 55% raisins trail mix

480 pounds of 30% raisins trail mix

Step-by-step explanation:

i did it on RSM and got it right

Answer:

3.25

Step-by-step explanation:

Answer:

-1 and -4

Step-by-step explanation:

Answer:

x = -1 y = -4

Step-by-step explanation:

6x + 2y = -14

-12x + 5y = -8

x= -1

y = -4

Answer:

No Solution

Step-by-step explanation:

Keep in mind that if the grouping isn't right, then my result will be wrong:

-1/2x-(1/2x+4)+12=17x-6(3x+5/6)

Let me just change the formatting for convenience, and then begin the calculations:

[tex]-\frac{1}{2}x-\left(\frac{1}{2}x+4\right)+12=17x-6\left(3x+\frac{5}{6}\right)\:[/tex]

[tex]-\frac{1}{2}x-\frac{1}{2}x-4+12=17x-18x-5[/tex]

[tex]-2\cdot \frac{1}{2}x-4+12=17x-18x-5[/tex]

[tex]-x-4+12=17x-18x-5[/tex]

[tex]-x+8=17x-18x-5[/tex]

[tex]-x+8=-x-5[/tex]

[tex]-x=-x-13[/tex]

[tex]0=-13[/tex]

Result: No Solution

Step-by-step explanation:

the answer is

[tex]= \frac{4}{10} \times 20 = 8[/tex]

Answer:

the answer is 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

“The area of a rectangular garden is 120 square meters.”

LW = 120

“The width is 4 meters longer than one-half of the length.”

W = 0.5L + 4

L = 2W-8

Substitution

(2W-8)W = 120

2W^2-8W-120 = 0

W^2 -4W-60 = 0

W = 10, -6

-6 is an extraneous solution.

W = 10 meters

L = 2W-8 = 12 meters

Answer:

0.7

Step-by-step explanation:

Let the number to be decreased be x. To decrease x by 30 %, the result will be

= x - 30% * x

= x - 0.3x

= 0.7x

From above, the result is 0.7 multiplied by the number to be reduced. Hence the multiplier is 0.7

Answer:

18 foot ladder will reach at 14.4 feet up the wall.

Step-by-step explanation:

Triangles formed by the ladder against wall and the ground are similar,

ΔABC ~ ΔDEC

Therefore, their corresponding sides will be proportional.

[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]

[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]

[tex]\frac{18}{10}=\frac{BC}{8}[/tex]

BC = [tex]\frac{18\times 8}{10}[/tex]

     = 14.4

Therefore, 18 foot ladder will reach at 14.4 feet up the wall.

Answer:

[tex]y = \frac{x}{2}[/tex]

Step-by-step explanation:

Given

[tex]y : x = 1 : 2[/tex]

Required

Represent as an equation

[tex]y : x = 1 : 2[/tex]

Represent as a fraction

[tex]\frac{y }{ x} = \frac{1}{ 2}[/tex]

Cross multiply

[tex]y * 2 = x*1[/tex]

Divide both sides by 2

[tex]y = \frac{x*1}{2}[/tex]

[tex]y = \frac{x}{2}[/tex]

Answer:

c) -152/377

Step-by-step explanation:

yan po ang tamang sagot ko..

Answer:

Step-by-step explanation:

-8x - 8y = -20

8x + 8y = 24

0 ≠ 4

2y = -2x + 10

y = -x + 5

8y = -8x + 24

y = -x + 3

inconsistent

Answer:

Step-by-step explanation:

Donna guessed 400 but there were 480 so she was off by 80

Answer:

Step-by-step explanation:

Sixteen thousand, four hundred and eight

Hope this helps!

Answer:

She can make [tex]18[/tex] unique outfits.

Step-by-step explanation:

Jamie has [tex]3[/tex] options to choose from for a shirt (white, blue, or pink), [tex]3[/tex] options to choose from for pants (black, white, or beige), and [tex]2[/tex] options to choose from for shoes (black or brown). Therefore, she can make [tex]3*3*2=18[/tex] unique outfits from these options. Hope this helps!

Answer: 72 divided by 2 is 9. So the length is 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Just give me the answer

Step-by-step explanation:

x=-2

y=-1

........................

15

Step-by-step explanation:

Answer:

I think 30 im so sure

Step-by-step explanation:

uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye

Answer:

A) 23cm.

B) 32.0625 square cm.

Step-by-step explanation:

Perimeter: Just add all the sides together like so:

4.75x2 + 6.75x2 = 23cm.

Area: Multiply the base and height together:

4.75 x 6.75 = 32.0625 square cm.

23cm

4.75 + 4.75 = 9.50

6.75 + 6.75 = 13.50

13.50 + 9.50 = 23.00

Answer:

I think A is the correct answer because -3+4 is 1 because 4 has greater sign + and +- gives result - thus,-3-7 gives - 21. I hope that it would be meaning ful for you ...

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4