A function has a derivative f 1(x)=3-2x. An equation of a line tangent to the graph of the function at x =2 is y-7=-(x-2). What is an equation of the function f?

Answer:

Step-by-step explanation:

1) h(t) = 5t + 10

2) plugging in t as 12 to our function, h(12) = 5 * 12 + 10 = 70

3) h(5) = 35 is the function representing the height, 35 feet, travelled in a period of time, 5 seconds.  

Answer: X=7

Step-by-step explanation: X+17=24 subtract 17 from both sides and you would get X=7

Answer:

B

Step-by-step explanation:

Because it has to be less than or no more than $100

Answer:

8=D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lenght should be the greater here. I am considering your question however.

Let length side is 'x'.

The width side is 'x +13'

Perimeter of a rectangle : 2 ×( length + width)

given that perimeter is 82

2 × ( x + x + 13) = 82

2 × ( 2x + 13) =82

4x + 26 = 82

2x = 56

x = 28 cm

length is 28

width is 41

Answer:

$6.65

Step-by-step explanation:

Total sales tax = Item cost [tex]*[/tex] sales tax rate

Item Price: $95

Sales tax rate: 7% = 0.07

[tex]95*0.07=6.65[/tex]

Total sales tax = $6.65

I hope this helps! (✿◕‿◕✿)

Answer:kk

Step-by-step explanation: kk i cant dee nun

Answer:

v=31

Step-by-step explanation:

Average speed is total distance/total time.

We can rearrange this equation to find total distance:

Distance = time x speed

Our given time is 14 hours and our average speed is 13km/h, therefore the distance travelled 14x13=182m.

On a speed-time graph, the distance is found by finding area under the line on the graph. So to find v, we can find the area for the other sections first and then use the remainder to find v.

The total distances for the other 3 sections are: 4x6 + 6x12 + 4x12 = 24+72+24=120

182-144 = 38

This means that the area of the triangle with height v-12 has an area of 38.

Area of a triangle = 1/2bh

38=1/2(4)h

38=2h

h=19

The distance between v and 12 is 19 so the full value of v is 19+12=31

v = 31

Hope this helped!

Answer:

You are correct, the answer is (y=3)=-2(x-8)

Step-by-step explanation:

For this problem, let's first make the equation of the perpendicular line be in slope intercept form. Add 4y to both sides.

2x=4y+7

Subtract 7.

2x-7=4y

And divide by 4.

y=1/2x7/4

Here, the slope is 1/2, so the slope of the perpendicular line is the negative reciprocal, or -2.

Finally, substitute the given point into the point slope formula to get (y+3)=-2(x-8)

Answer:

10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Answer:

y = 100° , x = 80°

Step-by-step explanation:

Two angles on a straight line equal 180°. Therefore, 80° + y = 180°. This means y = 100°.

80° and x are alternate exterior angles. Using that property, we know those angles are congruent. This means x is also 80°.

Question:

Which description could be written as a linear function?

Answer:

Option a)

Explanation:

Let 2 numbers be x1 and x2.

For the first option:

Eight more than twice a number.

The graph would be y = 8 + 2x1 which is a linear function.

For the second option:

Three more than the product of two numbers.

The graph would be y = 3 + x1x2 which is a graph function.

For the third option:

Ten more than the square of a number.

The graph would be y = 9 + (x1)² which is a graph function.

For the fourth option:

Nine more than one divided by a number.

The graph would be y = 9 + 1/x1 which is a double-parabole function.

Hopefully this answer will help you.

Answer: option a

Step-by-step explanation:

Just took the test

Answer:

b. 70+90=160

180-160=20°

a. 180-(20+90)

180-110=70

Answer:

[tex]-\sqrt2[/tex]

Step-by-step explanation:

csc 225 degrees is the multiplicative inverse of sin 225 degrees. sin 225 degrees. We can use a unit circle with radius of 1 to find out sin 225 degrees. a 225 degree rotation counter clockwise is equivalent to a 180 degree turn followed by a 45 degree turn. Therefore, the final value is going to be in the third quadrant, a 45 degree turn in. This means that sin(225 degrees) = [tex]-\sqrt2/2[/tex] The multiplicative inverse of that is [tex]-\sqrt2[/tex]

Answer:

No there no no proportional relation ship because y is being distrubuted differently then x

Step-by-step explanation:

Answer: 6$

Step-by-step explanation:

Answer:

The square root of 120 is about 10.95

Step-by-step explanation:

Answer:

=5x

Step-by-step explanation:

your question might have a different variable witch is the letter at the end

Answer:

6, 7

Step-by-step explanation:

Answer:

The player's expectation is a loss of 20 cents.

Step-by-step explanation:

In a game of roulette, there are 38 slots where the ball can stop.

The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.

So, N = 38.

The slots which are multiples of 3 are:

S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}

So, n (S) = 12.

Let X = the ball stops on a number that is a multiple of 3

The probability that the ball stops on a number that is a multiple of 3 is:

[tex]P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32[/tex]

It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.

Compute the player's expectation as follows:

[tex]E(X)=\sum X\cdot P(X)[/tex]

        [tex]=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20[/tex]

Thus, the player's expectation is a loss of 20 cents.

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Finding slope:

Take two pairs of cordinate points from the table and use the formula y2-y1 divided by x2-x1

I choose (4,3) and (2,2)

2-3 divided by 2-4

= -1/2

Then to get the y intercept you use the formula: y=mx+b

For the x and y pick a cordinate to plug in. For m plug in your slope.

I pick (6,4)

4=-1/2×6+b

Multiply -1/2 and 6 to get -3 and plug that in

4=-3+b

Now add 3 to the -3 canceling that out to 0 and add three to the 4 making that 7

7=b

Y-intercept =7

Now plug in the slope and y-intercept into the slope intercept format and get:

Y=-1/2x+7

Answer:

The answer is

D. V= 19200- 12t

Step-by-step explanation:

in this problem, we already know that the pool contains 19200 gallons of water

and the pool is draining at 12 gallons per minutes, hence the volume is decreasing at that rate

Therefore for t minutes it will decrease by 12t

hence the volume after t minutes will be

V= 19200-12t

Answer:

222

Step-by-step explanation:

Let L = number of boxes Linda sold.

Let P = number of boxes Penny sold.

The sold a total of 492 boxes.

L + P = 492

Penny sold 48 more boxes than Linda.

P = L + 48

Substitute P with L + 48 in the first equation and solve for L.

L + L + 48 = 492

2L + 48 = 492

2L = 444

L = 222

Answer: Linda sold 222 boxes.

Check:

Penny sold 48 more boxes, so she sold 222 + 48 = 270.

Add the numbers they sold: 222 + 270 = 492

The difference is 48, and the total is 492. Our answer is correct.

Answer:

y=2x+3

step explanation:

Answer:

0.6 ; 0.7 ; 0.8

Step-by-step explanation:

Change all numbers given to decimals:

1/2 = 0.5

1 = 1.0

Any number that fits x in 0.5 < x < 1.0 is your answer.

Answer choices:

0.6

0.7

0.8

etc.

~

Answer:

0.6, 0.7, 0.8, 0.9

Step-by-step explanation:

1/2 is 0.5 in decimal form. So, decimals that are greater than 0.5 but less than 1 are:

0.6, 0.7, 0.8, and 0.9 etc.

Answer: exact form: y= -23/4

Step-by-step explanation: move all the terms that doesn’t contain “y” to the right side and solve.

Answer:

y=  1/4 x - 6

Step-by-step explanation:

Answer:0 is the answer duh it has the answer on it

Step-by-step explanation:

*I am kinda Confused by the question. . . because the answers are already on it*

Answer:

X(remainder)2  +  4 × "X"  +  3 = 0

X(remainder)2  -  5 × "X"  +4 = 0

X(remainder)2  -  49 = 0

4 × "X"(remainder)2  -  25 = 0

2 × "X"(remainder)2  +  7 × "X"  +  3 = 0

Explanation:

Sorry if it didn't Help at All, I tried . . . Sorry  :(