Which ordered pair (x, y) satisfies both equations y = x2 + 6 and x = 6 - y?
A)
(0, -1)
B)
(-1,5)
99
(1,7)
D)
(-1,7)

Get the derivative:

y = (9 - x²)¹ʹ³

dy/dx = 1/3 (9 - x²)⁻²ʹ³ d/dx [9 - x²]

dy/dx = 1/3 (9 - x²)⁻²ʹ³ (-2x)

dy/dx = -2/3 x (9 - x²)⁻²ʹ³

Evaluate it at x = 1 :

dy/dx (1) = -2/3 • 8⁻²ʹ³

Since 8 = 2³, we have

8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4

Then the tangent line has equation

y - 2 = 1/4 (x - 1)   →   y = 1/4 x + 7/4

Answer:

C and D

Step-by-step explanation:

Use a calculator for the sq rt

Answer:

q

Step-by-step explanation:

a q q q q q q q q q q qq q qq q q q q q qa q q q q q q q q q q q

Answer:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair. it is a stright line

Step-by-step explanation:

got it right on testtt

Carl is incorrect. Dave ate a higher fraction of snack bars, by 0.2 snack bars.

Carl had .5 left of a snack bar.

Dave had .3 left of a snack bar.

Tony had .5 left of a snack bar.

Gary had .0 left of a snack bar.

Tryone had .7 left of a snack bar.

If we add the above snack bars, there is a total of two remaining snack bars, meaning they only ate 12 of 14 snack bars.

Answer:

15

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

10 to the 2nd power is 100

100 x 1.5=150

Answer:

Step-by-step explanation:

Is b) corresponding angles are congruent.

The reason that justifies statement two: "Angle Y ≅ Angle 4", is option C "Alternate interior angles are congruent".

Angles that are of the same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of the same measure, then

[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of the same measurement, where the small m shows that it's the measurement's the angles they're preceding.

We can see that angle Y and angle 4 are two alternate angles within the two parallel lines cut across by the transversal, therefore, they are called alternate interior angles.

Since Alternate interior angles are always congruent to each other.

Thwithefore, the reason that justifies statement two: "Angle Y ≅ Angle 4", is "Alternate interior angles are congruent".

Learn more about congruent triangles here:

https://brainly.com/question/16921692

#SPJ6

Answer:

John attempted 500 passes.

Step-by-step explanation:

350 / x = 70%

350 = 0.7x

x = 500

Answer:

Square Root of 35

Step-by-step explanation:

5 * 7 = 35

Answer:

5.91607978309

Step-by-step explanation:

Answer:

Step-by-step explanation:

y-intercept:  -7

type of slope:  0

slope: y=0x-7

slope's hard ;_;

Answer:thxxxxxxs for the points

Step-by-step explanation:

Answer:

Width is 9 1/2 in.

Step-by-step explanation:

My reasoning is that, since youve gotten the area (99 3/4), your asked to find the width. You have the length which is 10 1/2. In this situation youre expected to divide. What you divide is 99 3/4 by 10 1/2. If you calculate this, you get a quotient of 9 1/2. I’m not very ethical at explanations, but I hope you found it helpful somehow.

Answer:

A

Step-by-step explanation:

This is because line B has less water than A within the same time period. For example, lets say that each container had to be filled within 5 minutes. Container A would already be filled up within that time. Line B would be trailing behind a little.

Answer:

A

Step-by-step explanation:

because if we see from the graph:

let's say they are powered by x minutes

Thus A is filled while B is only a half

so container A is filling more quickly

I hope this helps you :)

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Step-by-step explanation:

Example:

[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]

Answer:

63/8

Step-by-step explanation:

3/8+ 7 1/2 = 3/8+ 15/2= 3/8+60/8= 63/8

Answer: I think it’s 7 5/8 I’m not sure

Step-by-step explanation:

Answer:

Sure ill help i need the question tho not a picture

Step-by-step explanation:

Answer:

3/6 or if you prefer simplified version it is 1/2

Step-by-step explanation:

1/3=2/6

2/6+3/6=5/6

Answer:

d = 1/2

Step-by-step explanation:

5/6 = 1/3 + d

~Find common denominators

5/6 = 2/6 + d

~Subtract 2/6 to both sides

3/6 = d

~Simplify

1/2 = d

Best of Luck!

Answer:

13 : 4

Step-by-step explanation:

13 : 4

he has 13 cows and he has 4 bales of hay so 13:4

you can't simplfy it so its still 13 : 4

Answer:

-3 and 3

Step-by-step explanation:

Answer:

It is 10 Units

Step-by-step explanation:

Mark me brainliest please :)

also this is EDG 2020

Answer:

10 units

Step-by-step explanation:

In the given figure, we may plot a point B with the coordinate pair (-5,-1).

Lets now draw a triangle ABC by connecting A and C with B perpendicularly.

We now know that,

AB = 5+3 = 8 units

CB=1+5= 6 units

[tex]As\ the\ drawn\ triangle\ is\ a\ right\ triangle, \ as\ angle\ CBA\ is\ 90\ degrees.\\Through\ Pythagoras\ Property,\ we\ may\ conclude\ that\ :\\ AB^{2} + BC^2 = CA ^2\\Hence, \\8^2+6^2=AC^2\\64+36=AC^2\\100=AC^2\\AC=10[/tex]

Explanation:

To isolate x, we first add 3 to both sides. Then we'll divide both sides by 4

[tex]4x-3 < 9\\\\4x-3+3 < 9+3\\\\4x < 12\\\\\frac{4x}{4} < \frac{12}{4}\\\\x < 3[/tex]

So x can be any number smaller than 3.

The inequality sign will not flip because we are not dividing both sides by a negative number.

Answer:

(0,6]

Step-by-step explanation:

Answer:

Chloe prepared 32 kilograms if she worked for 8 hours.

Step-by-step explanation:

28 ÷ 7 = 4

4 kilograms per hour worked

4 × 8 = 32

Answer:

32 kilograms

Step-by-step explanation:

The proportion of kilograms of dough to the number of hours worked is [tex]\frac{28}{7}[/tex] which equals to 4 kilograms / hour.

You multiply 4 kilograms/hour by the number of hours she worked which is 8 hours so 4 kg/hour (8 hours) = 32 kilograms.

Answer:

4 and 4/11

Step-by-step explanation:

Answer:

4 4/11

Step-by-step explanation:

You start with 6/1 divided bye 11/8. You keep the 6/1, switch the division to multiplication, and flip the 11/8 to 8/11. You multiply the fractions and get 48/11. Simplifying gives 4 4/11.

Answer:

7

Step-by-step explanation:

First do 3x2 to get 6, and then do 8-6, which is 2, and add that to 5 to get 7

9514 1404 393

Answer:

  3 feet per second

Step-by-step explanation:

If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.

  (1/2)(6 ft/s) = 3 ft/s

The swimmer's average speed is 3 ft/s.