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almond37 [142]
3 years ago
10

Solve for the variable x^2 - 8 = -1 Show all work please

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

Answer:

x = ±sqrt(7)

Step-by-step explanation:

x^2 - 8 = -1

Add 8 to each side

x^2 - 8+8 = -1+8

x^2 = 7

Take the square root of each side

sqrt(x^2) = ±sqrt(7)

x = ±sqrt(7)

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Which explains whether or not the function represents a direct variation?
s2008m [1.1K]

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

A(0,0) ------> the line passes through the origin

B(2,10)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=10/2=5

C(4,20)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=20/4=5

D(6,30)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=30/6=5

E(8,40)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=40/8=5

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

f(x)=5x

4 0
3 years ago
Read 2 more answers
Brianna has 4 pink bracelets. One third of all her bracelets are pink. How many braclets does Brianna have?
liq [111]
Brianna has 12 braclets
3 0
3 years ago
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-4 plus the square root of 81​
almond37 [142]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The square root of 81 is 9

We have -4 + 9

Thus, your answer is 5

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0
3 years ago
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Which pair of angles shares ray A,F as a common side?
Gennadij [26K]

Answer:

< BAF  <DAF

Step-by-step explanation:

The first angle is < BAF

The second angle is <DAF

The ray A,F has to be in the name of the angle

3 0
3 years ago
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A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen f
Aloiza [94]

Answer:

Probability of choosing one club and one spade = 0.6025

Step-by-step explanation:

Total number of cards= 52 cards

For the first event

Probability of choosing a club

Toatal club = 13 cards

Probability of choosing a club

= 13/52

Probability of choosing a club

= 1/4

Probability of choosing a club

=0.25

For the second event

Probability of choosing a spade

Toatal spade = 13 cards

Probability of choosing a spade

= 13/52

Probability of choosing spadep

= 1/4

Probability of choosing a spade = 0.25

Probability of both = 0.25*0.25

Probability of both = 0.6025

5 0
3 years ago
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