Which of these is a tangent line to y= -x^2 at x=4

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

an equation of this tangent is : y = f'(4)(x-a)+f(4)

a = f'(4)

f(x) = - x²

a=4

f'(x) = -2x

f'(4) = -2(4) = -8

f(4) = -(4)² = -16

so : y = - 8 (x-4)-16

  y = - 8x +16


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The number of chips of different colors in Vicky's bag is shown below: 5 blue chips 11 pink chips 9 white chips. Vicky takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Vicky takes out a blue chip in both draws? 5 over 25 multiplied by 5 over 25 equals 25 over 625, 5 over 25 plus 5 over 25 equals 10 over 25, 5 over 25 multiplied by 4 over 24 equals 20 over 600, 5 over 25 plus 4 over 24 equals 220 over 600.

Write the decimal expansion for 8 over 33

Answers

8:33=0.24242424...=0.(24)

Answer:

0.2424242424242424...

Step-by-step explanation:

8/33=0.2424242424...

the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of the pyramid is 6 ft . The area of the regular hexagon is 93.5 ft. What is the volume of the pyramid?

Answers

Answer:

The volume of the pyramid is V=187\ ft^(3)

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=(1)/(3)BH

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

B=93.5\ ft^(2)

H=6\ ft

substitute

V=(1)/(3)(93.5)(6)=187\ ft^(3)

Answer:The answer is 187 ft to the 3 power

A plumber uses 16 inches of tubing to connect each washing machine in a laundry to the water source. He wants to install 18 washing machines. How many yards if tubing will, he need

Answers

The total yards of tubing the plumber will use is given by A = 8 yards

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the total yards of tubing the plumber will use be A

Now , the equation is

Let the total inches of tubing used for each washing machine = 16 inches

And , from the unit conversion ,

16 inches = ( 16/36 ) yards

So , the number of washing machines = 18 machines

Now , the total yards of tubing the plumber will use A = number of washing machines x 0.444

On simplifying , we get

The total yards of tubing the plumber will use A = ( 16 / 36 ) x 18

The total yards of tubing the plumber will use A = 8 yards

Hence , the total yards is A = 8 yards

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You would multiply 18 machines x 16" for a total of 288 inches. You would then divide by 36 because there are 36" (or 3 feet) in a yard. The answer is 8 yards of tubing.  

Harry and Selma start driving from the same location. Harry drives 42 miles north while Selma drives 144 miles east. How far apart are Harry and Selma when they stop?

Answers

42+_=144 42+8=50 50+50=100 100+44=144 50+100+144=294 Harry and Selma were 294 miles apart when they stopped.

How do you solve
5x=25

Answers

You divide 5 from both sides and the equation becomes x=5
5 divided by 25 = 5 so 5 x 5=25

What fractions are equivalent to 4/7

Answers

Some of the fractions that are equivalent to 4/7 are 8/14, 12/21, 16/28, 20/35 e.t.c

What is equivalent expression?

Equivalentexpressions are expressions that work the same even though they look different.

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

For example , 5 × 4 = 20 and 2 × 10 = 20 , so the two expressions are equivalent and they have thesame value

To find the equivalent of 4/7, we can multiply through by a factor of 2, 3 , 4 ,5 e.t.c

Therefore 4/7 = 8/14 = 12/21 = 16/28 = 20/35

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8/14 12/21 16/28 these are some of the fractions that came to mind