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e-lub [12.9K]
4 years ago
13

Use the Negative Exponent Property to convert the following expressions to exponential form:

Mathematics
1 answer:
mina [271]4 years ago
5 0
The law of exponents says that an exponent in the denominator by itself is equal to its inverse. this means:
1/(x^2) = x^-2

so for a:
3/(x^5) = 3 * (x^-5) = 3x^-5

b:
8/(4y^2) = (8 * y^-2)/4 = (8/4) * y^-2 = 2y^-2
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What is the x-intercept of the line with this equation −2r+1/2 y=18?
Anon25 [30]
To find the x int, we will sub in 0 for y and solve for x...um...r

- 2r + 1/2y = 18
-2r + 1/2(0) = 18
-2r = 18
r = -18/2
r = -9

so the x int is (-9,0)
4 0
3 years ago
Simplify it using order of operations<br><br><br><br>​
natta225 [31]

Answer:

=106

Step-by-step explanation:

PMDAS

First thing you do is the parenthesis

6+4(5)^2

then the exponent

6+4(25)

then multiply

6+100

then add

106

Hope this helps (:

8 0
4 years ago
Read 2 more answers
Find two consecutive odd integers such that the square of the first added to 3 times the second, is 24. Part a: Define the varia
fgiga [73]

Given:

There are two consecutive odd integers such that the square of the first added to 3 times the second, is 24.

To find:

Part a: Define the variables.

Part b: Set up an equations that can be solved to find the integers.

Part c: Find the integers.

Solution:

Part a:

Let x be the first odd integers. Then next consecutive odd integer is x+2, because the difference between two consecutive odd integers is 2.

Part b:

Square of first odd integers = x^2

Three times of second odd integers = 3(x+2)

It is given that the sum of square of first odd integers and three times of second odd integers is 24. So, the required equation is:

x^2+3(x+2)=24

Part c:

The equation is:

x^2+3(x+2)=24

It can be written as:

x^2+3x+6=24

x^2+3x+6-24=0

x^2+3x-18=0

Splitting the middle term, we get

x^2+6x-3x-18=0

x(x+6)-3(x+6)=0

(x-3)(x+6)=0

x=3,-6

-6 is not an odd integer, so x=3 and the first odd integer is 3.

Second odd integer = x+2

                                  = 3+2

                                  = 5

Therefore, the two consecutive odd integers are 3 and 5.

8 0
3 years ago
What is the x-intercept of the following line with this equation -2x+1/2y=18 plz for math
tensa zangetsu [6.8K]

The answer is -9 im sure!

5 0
3 years ago
The quadrilaterals JKLM and PQRS are similar.
Sveta_85 [38]

Answer:

x = 2.8

Step-by-step explanation:

If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:

KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7

JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7

LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7

This shows that the ratio of KJ : QP = 5/7

KJ : QP = 2 : x = 2 / x

Therefore, \frac{2}{x}=\frac{5}{7}

cross multiply:  14 = 5x

Divide both sides by 5:  x = 2.8

8 0
2 years ago
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