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andreyandreev [35.5K]
3 years ago
9

Give three solutions of the inequality 6-11x<61

Mathematics
2 answers:
adell [148]3 years ago
5 0
6 -11x < 61
-6 -6

-11x < 55
/-11 /-11

<span>x > -5 </span>
Alex17521 [72]3 years ago
3 0
I hope this helps you



6-61 <11x


-55 <11x


-5 <x
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photoshop1234 [79]

Answer:

114 3/8 gallons

Step-by-step explanation:

To solve the question, we multiply by the number of gallons and the amount travelled per gallon:

Let's convert all fractions to improper fractions:

15 1/4 = (15*4 + 1)/4 = 61/4

7 1/2 = (7*2 + 1)/2 = 15/2

Multiply the numerators and the denominators:

61/4 * 15/2 = 61*15/4* 2 = 915/8 = 114 3/8

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Step-by-step explanation:

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3 years ago
Simplify the expression:<br><br> ( 1 - ( 9x^2 + 4 ) / 2 ) / ( 1 / 3x - 1 / 2 ) + 1
Yuliya22 [10]

Answer:

First Step

Simplify —

2

Equation at the end of step

1

:

((9•(x2))+4) 1 1

————————————•x))—•x)-—)+1

12 (( 3 2

STEP

2

:

1

Simplify —

3

Equation at the end of step

2

:

((9•(x2))+4) 1 1

————————————•x))—•x)-—)+1

12 (( 3 2

STEP

3

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8 0
3 years ago
Evaluate without using a calculator (x2y-3)0+x1/3-(4x)1/2 when x = 64 and y = 27. Show work.
aleksley [76]

Given:

The expression is:

(x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}

To find:

The value of the given expression when x=64 and y=27.

Solution:

We have,

(x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}

Putting x=64 and y=27, we get

=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}

It can be written as

=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}

=1+4-2(8)           [\because a^0=1,a\neq 0]

=5-16

=-11

Therefore, the value of the given expression -11 when x=64 and y=27.

4 0
3 years ago
Chec<br> Match each data relationship with a type of correlation.
AleksandrR [38]

I've attached an image showing the data relationship.

Answer:

1) y does not change based on changes in x: no-correlation

2) y tends to increase as x increases: positive correlation

3) y tends to decrease as x increases: negative correlation

Step-by-step explanation:

1) y does not change based on changes in x: This means that there is no correlation between y and x since change in x doesn't affect y.

2) y tends to increase as x increases: This implies positive correlation because the output increases with increase in input.

3) y tends to decrease as x increases: This implies negative correlation because the output decreases with increase in input values.

5 0
3 years ago
Read 2 more answers
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