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Drupady [299]
3 years ago
10

What number is represented by 8^-3

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0
Fraction: 1/512
decimal: 0.001953
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Translate the given phrase into an algebraic expression and simplify if possible: the product of -13 and the difference of c
Musya8 [376]

Answer:  -13c+13d

Step-by-step explanation:

For this exercise it is important to remember the following:

1. By definition, the "Product" is the result of a multiplication.

2. The "Difference" is defined as the result of a subtraction.

3. The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

Keeping the above on mind, you know that:

"The difference of c and d" can be represented with the following expression:

c-d

Therefore, "The product of -13 and the difference of c and d" can be represented with this expression:

-13(c-d)

Finally, you must apply the Distributive property in order to simplify the expression. You get:

=-13c+13d

7 0
3 years ago
Will mark BRAINLIST for only correct answer
katovenus [111]

Answer:

Gym A

Step-by-step explanation:

A linear relationship is a relationship of the form y = mx + b, where y and x are the linear variables, m is the rate of change and b is the value of y when x = 0.

Gym A:

Let x represent the month and y represent the total cost for the gym. From the table, we can represent the values in the form (x, y) as (1,70), (2, 90) and (3, 110). We can find the relationship between x and y using the formula:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Let \ us\ use\ the\ points\  (1,70)\ and\ (3,110),hence:\\\\y-70=\frac{110-70}{3-1}(x-1)\\\\y-70=20(x-1)\\\\y=20x-20+70 \\\\y=20x+50\\\\For\ 10\ months(i.e.\ x=10):\\\\y=20x+50\\\\y=20(10)+50\\\\y=\$250

Gym B:

We can represent the values from the table as (1,55), (2, 80) and (3, 105). We can find the relationship between x and y using the formula:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Let \ us\ use\ the\ points\  (1,55)\ and\ (3,105),hence:\\\\y-55=\frac{105-55}{3-1}(x-1)\\\\y-55=25(x-1)\\\\y=25x-25+55 \\\\y=25x+30\\\\For\ 10\ months(i.e.\ x=10):\\\\y=25x+30\\\\y=25(10)+30\\\\y=\$28 0

Hence gym A would cost less ($250 < $280)

4 0
3 years ago
Can someone simplify this equation and solve for x and y?<br> (2x-5)+(y-1)+x=169
goldenfox [79]

Answer:

Answer

2x+3y=14,2x−3y=2

Adding :

2x+3y=14

2x−3y=2

__________

4x=16

x=4

∴xy=4×2

=8

2×4+3y=14

8+3y=14

3y=6

y=2

Step-by-step explanation:

here you go

6 0
3 years ago
Read 2 more answers
PLEASE HELP QUICK!! WILL OFFER 100 POINTS TO THE FIRST ONE THAT ANSWERS
Reil [10]

Given

x+1 = \sqrt{7x+15}

We have to set the restraint

x+1\geq 0 \iff x \geq -1

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

(x+1)^2=7x+15 \iff x^2+2x+1=7x+15 \iff x^2-5x-14 = 0

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.

Similarly, we have

x-3 = \sqrt{x-1}+4 \iff x-7=\sqrt{x-1}

So, we have to impose

x-7\geq 0 \iff x \geq 7

Squaring both sides, we have

(x-7)^2=x-1 \iff x^2-14x+49=x-1 \iff x^2-15x+50 = 0

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.

7 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!ASAP
Zielflug [23.3K]
The answer is angle C.
8 0
3 years ago
Read 2 more answers
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