1. Write the postulate that confirms each statement. ​

The tangent line to f(x) at some point x has slope equal to f'(x), so first compute the derivative of f :

f(x) = -10x ² + 8x

f'(x) = -20x + 8

When x = 9, we have

f (9) = -10•9² + 8•9 = -738

f' (9) = -20•9 + 8 = -172

so the slope is -172.

If you also have to find the equation of the tangent line, use the point-slope formula:

y - (-738) = -172 (x - 9)

y = -172x + 810

Answer: 2/1/3

Step-by-step explanation:

Answer:

3 1/2 feet

Step-by-step explanation:

10 1/2 / 3 = 7/2 = 3 1/2

Answer:

[tex] { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x - 7 = 8x \\ \\ {x}^{2} + 2x - 8x = 7 \\ \\ {x}^{2} - 6x = 7 \\ \\ {x}^{2} - 6x + {3}^{2} = {3}^{2} + 7 \\ \\ {(x - 3)}^{2} = 9 + 7 \\ \\ { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

Answer:

The value of k is 7

Step-by-step explanation:

The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:

g(x) = f(x) +k

To know the value of k, we select a value for x and calculate the value of k.

For example, for x=0, f(0)=-6, g(0)=1, and:

g(0) = f(0) +k

1 = -6 +k

k = 7

We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:

g(-5) = f(-5) +k

7 = 0 +k

k = 7

The value of k is 7

the answer above is correct

Answer:

C

Step-by-step explanation:

Since Year 3 and 4 have the highest students just subtract 33-25 and you get 8

Answer:

696.39

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer: 696 39/100 into a decimal is 696.39

Answer:

4 (2x +9)

Step-by-step explanation:

Let me know if I'm wrong pls

Answer: Refer to the diagram below

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

Explanation:

The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.

The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.

Answer:

If we draw the line of y=2 and if we find the reflections we have the new points of...

Now all we have to do it plot these points, and then we have the triangle PQR

Answer: 5/6 * 4/3 = 10/9

The Decimal Would Be: 1.111111

Step-by-step explanation:

Answer:

1.2 mph

Step-by-step explanation:

3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour

Answer:

The answer ia -30. Hope i help

Answer:

The answer is 30 hope it helps

Answer:

Step-by-step explanation:

las quenos juegos = 18

Answer:

it's A

Step-by-step explanation:

y=-x

y=3/2x-5 hope this helps you

Answer:

y=4/3x-7

Step-by-step explanation:

The slope intercept formula y=mx+b, m being the slope and b being the y-intercept so all we have to do is find those and plug them in to get the answer.

Answer:

B

Step-by-step explanation:

(3.2+4.8)+[20+19+(-4)]

8. +. 47. -4

=43

Answer:

[tex] y = 6x + 2 [/tex]

Step-by-step explanation:

To write a linear function to represent the situation in the form of y = mx + b, we need to find,

m = slope of the graph

b = y-intercept or starting value

✔️Finding slope (m) using two points on the line, (0, 2) and (1, 8):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{1 - 0} = \frac{6}{1} = 6 [/tex]

y-intercept (b) = 2 (i.e the value of y when x = 0, which is the starting value oflr the point where the line intercepts the y-axis)

Substitute m = 6, and b = 2 in [tex] y = mx + b [/tex]

[tex] y = 6x + 2 [/tex]

Answer:

0.01

Step-by-step explanation:

cause 47 x 0.01 + 0.047

The power of 10 that you would dived it by would be 1,000.

Because here we have 3 option 10, 100, and 1,000. So what we would do is divide each one to that main number "47"

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Answer:

He can buy 7 packs or 5 packs it depends on how each costs seperately.

Step-by-step explanation:

If each pack costs 5 dollars then he can buy 7.

If each pack costs 7 dollars then he can buy 5.

Answer:

|−3| < |−4|

Step-by-step explanation:

Answer:

|−3| < |−4|

Step-by-step explanation:

Convert each option:

|−4| < 3   ⇒   4 < 3   ✖ False

|−4| < |3|   ⇒   4 < 3   ✖ False

|−3| < −4   ⇒   3 < −4   ✖ False

|−3| < |−4|   ⇒   3 < 4   ✔ True

Hope this helps! :)

Answer:

k=-240

Step-by-step explanation:

Answer:

k = -1200

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Step-by-step explanation:

Given,

[tex] \sqrt{x + 11} - x = - 1[/tex]

To Find:

Solution:

Square both sides, then solve.

[tex] \rm \implies \: \: \sqrt{(x + 11} ) {}^{2} = ( - 1 + x) {}^{2} [/tex]

[tex] \implies \rm \: x + 11 = - (1 + x) {}^{2} [/tex]

[tex] \rm \implies \: \: x + 11 = 1 - 2x + x {}^{2} [/tex]

[tex] \rm \implies \: 1−2x+x {}^{2}=x+11[/tex]

[tex] \rm \implies1+x {}^{2} −3x=11[/tex]

[tex] \rm \implies1+x {}^{2} −3x−11=0[/tex]

[tex] \rm \implies {x}^{2} - 3x - 10 = 0[/tex]

Factor the LHS

[tex] \implies \rm \: (x - 5)(x + 2) = 0[/tex]

Bring terms equal to 0, that is

[tex] \implies \rm(x - 5) = 0[/tex]

[tex] \implies \rm \: x = 5+ 0 = \boxed 5[/tex]

AND set x+2 equal to 0,

[tex] \rm\implies \: x + 2 = 0[/tex]

[tex] \rm \implies \: x = - 2[/tex]

So the possible two values are 5 & -2.

But, after plugging the values for verifying each,the most accurate is 5.

So, the value of x is 5.

Answer:

x=6

Step-by-step explanation:

the perimeter of the rectangle is equal to 2x + 16.

the perimeter of the triangle is equal to 3x + 10.

since they are equal now you can solve by saying 2x + 16 = 3x + 10

Now you solve for x

2x + 16 = 3x + 10

2x + 6 = 3x

6 = x

Answer:

the answer is 5 i think

Step-by-step explanation:

p= 2

Step-by-step explanation:

1. subtract 3 from 3 and 9

2. subract 5p from 8p and 5p

3. it is now 3p = 6

4 divide both sides by 3

5. 6/3 is 2 so 2 =p

Answer:

0/2 0/5 0/10

Step-by-step explanation:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.

Answer:

6mn

Step-by-step explanation:

Let the value we are finding be “box.” We can divide both sides by (3m - 4) to isolate box on one side. We get:

box = (18nm^2 - 24mn)/(3m - 4)

Note that we can factor out 3m - 4 in the numerator and cancel it with the denominator. (18nm^2 - 24mn)/(3m-4) = (3m-4)(6mn)/(3m-4) = 6mn.

I hope this helps! :)

Answer:

6mn

firstly divide both the sides with 3m-4

by letting the missing place as" x"

Step-by-step explanation:

take 6mn common from 18m square n - 24mn

you will get 3m- 4 left which get crossed with 3m- n and the value of x will be 6mn