Suppose that
g(x) = f(x)•h(x),
f(3) = 6,
h(3) = 2,
h'(6)=4,
h'(3)=15 and
f'(3) = 8.
Find g(3).

(A) 32
(C) 106
(B) 8
(D) 60

Answer:

[tex]26M + 56D = 2278[/tex] ---- equation 1

[tex]M = 3D[/tex] ---- equation 2

A microscope costs S51 and a dissection kit costs S17

Step-by-step explanation:

Given

Represent microscope with M and Dissection kits with D

Cost:

[tex]M = 3D[/tex]

[tex]Total = 2278[/tex]

Required

Represent as an equation:

To do this, we represent the equation in terms of cost and quantity

In terms of cost, we have:

[tex]26M + 56D = 2278[/tex] ---- equation 1

and

[tex]M = 3D[/tex] ---- equation 2

Substitute 3D for M in equation 1

[tex]26*3D + 56D = 2278[/tex]

[tex]78D + 56D = 2278[/tex]

[tex]134D = 2278[/tex]

Divide both sides by 134

[tex]D = \frac{2278}{134}[/tex]

[tex]D = 17[/tex]

Substitute 17 for D in [tex]M = 3D[/tex]

[tex]M = 3 * 17[/tex]

[tex]M = 51[/tex]

Hence:

A microscope costs S51 and a dissection kit costs S17

Answer:

why does m what????

Step-by-step explanation:

Answer: 90 divided by 45 equals 2     45+45=90

Step-by-step explanation:

Answer:

I will start with (c)

(c) What is the maximum area of the enclosed area?

the maximum area of a rectangle is always given by a square figure

since the square has 4 equal sides, each side will be 220 / 4 = 55 ft long

maximum area = 55 x 55 = 3,025 ft²

(b) What should be the dimensions of the enclosed area?

the dimensions would be 55 ft in length by 55 ft in width

(a) Set up the function A(x) that represent the enclosed area.

perimeter of the rectangle = 220

we have 4 equal sides, so

A(x) = x²

Answer:

2°C

Step-by-step explanation:

Morning

-5°C

Noon (+3)

-2°C

4pm (+?)

0°C

Equation I used:

(-5) + (3) + x = 0

I'm assuming you're being taught how to work with negative intervals in algebra? Don't worry, that's why you're practising with temperature. Instead of asking online, try using the progress your teacher taught you. If you have notes, look back at them. Practise makes perfect :)

Answer:

17

Step-by-step explanation:

An arithmetic mean is the average of the 2 given numbers, that is

mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{2+32}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17

Answer:

12

Step-by-step explanation:

It can take 3/4 of a picture per second. So all you have to do is take 3/4 and multiply it by 16.

Answer:

4

Step-by-step explanation:

I used desmos

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{-2(7-15)}{4}}\\\\\mathsf{7-15=-8}\\\\\mathsf{\dfrac{-2(-8)}{4}}\\\\\mathsf{-2(-8)=16}\\\\\mathsf{\dfrac{16}{4} = 4}\\\\\\\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\mathsf{\bf{D.\ 4}}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

4

Step-by-step explanation:

Answer:

[tex]A\approx1608.7\text{ yards}^2[/tex]

Step-by-step explanation:

We can use the alternate formula for the area of a triangle:

[tex]A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are the side lengths, and C is the angle between the side lengths.

We know that one side length is 60 and the other is 70.

The angle between them is 50°.

So, substitute 60 for a, 70 for b, and 50° for C. This yields:

[tex]A=\frac{1}{2}(60)(70)\sin(50)[/tex]

Evaluate using a calculator. Make sure you’re in Degrees Mode.

Therefore, the approximate area is:

[tex]A\approx1608.7\text{ yards}^2[/tex]

Answer:

x = -14/3

Step-by-step explanation:

2 (4x-2) - 5x = -18

8x - 4 - 5x = -18

8x - 5x = -18 + 4

3x = -14

x = -14/3

I'm not sure if this is what you were asking for but, ya..

Step-by-step explanation:

3.5

1

-7.14

1

1/5

6.5

sorry if this and are wrong

Answer:

if no one answers pic b cuz i got good luck

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

It started with x apples.

8 were given away.

Now there are x - 8 apples.

Two thirds of the remainder is (2/3)(x - 8).

That is equal to 12.

(2/3)(x - 8) = 12

x - 8 = 18

x = 26

There were originally 26 apples.

Answer:

26, if I understood the question correctly.

John has an amount of apples, gave 8 to her friend, and noticed that two thirds of the remainder is a dozen.

Step-by-step explanation:

If 2/3 of the remainder is 12, then we can set this up as an algebraic equation to see what the remainder started with.

x*2/3=12

Now we can see that we need to divide the 2/3 to get the answer for what x is equal to.

[tex]x=12/(\frac{2}{3} )[/tex]

To divide fractions, you multiply by the reciprocal, (or the fraction upside down)

[tex]x=12*(\frac{3}{2})[/tex]

When we multiply 12 by 3/2, we get 36/2, and when we reduce, we get 18.

If the entire remainder is 18, then the original total would be 18 plus the 8 that John gave to her friend.

18+8=26

Kind of a strangely worded question, I hope I understood correctly

Answer:

-0.5

Step-by-step explanation:

Answer:

8.6395761e+25

Step-by-step explanation:

no

Answer:

there is no number to plug into x cause you can't have a negative number if it is absolute value cause that makes everything positive

Answer:

You can find it on her profile, in the questions section.

Step-by-step explanation:

Tap her profile picture, which will take you to her profile.

Tap the questions bar, which should lead you to all questions she has posted.

Lastly, tap the question you want! It should show you the date or time it was posted.

A brainiest is this doggo's bone!

Answer:

There is no picture, or diagram with the question, but 1/6 = 2/12

Answer:

2/12

Step-by-step explanation:

1/6 * 2 = 2/12

Multiply both numerator and denomanotor

Answer:

y=3x-3

Step-by-step explanation:

y=mx+b

m=slop

b=y intercept

Answer:

[tex]x=\frac{1}{7}y+\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]y=7x-3[/tex]

[tex]7x-3=y[/tex]

[tex]7x-3+3=y+3[/tex]

[tex]\frac{7x}{7}= \frac{y+3}{7}[/tex]

[tex]x=\frac{1}{4}y+\frac{3}{7}[/tex]

Answer:

Step-by-step explanation:

(2 , 0)  ; (0, 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

          [tex]= \frac{1-0}{0-2}\\\\=\frac{1}{-2}\\\\\\=\frac{-1}{2}[/tex]

m = -1/2 ; (2 , 0)

Equation of the line : y - y1 = m(x - x1)

                                  [tex]y - 0 = \frac{-1}{2}(x-2)\\\\ y = \frac{-1}{2}x - 2*\frac{-1}{2}\\\\\\ y = \frac{-1}{2}x+1[/tex]

slope = (-1/2)

y - intercept = 1

Answer:

Your anwser is 14 hopw this helpss

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the answer is 14 i know this because the person before me said the same thing.

Answer:

c because an open doesnt mean its guaranteed but it starts at closed.