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satela [25.4K]
2 years ago
8

How do i solve this?? 5x - 7 < 13

Mathematics
2 answers:
a_sh-v [17]2 years ago
8 0

Answer:

5x-7 has to equal to something smaller than 13

5x-7=5

Lapatulllka [165]2 years ago
8 0

Answer: x < 4

Step-by-step explanation:

Disregarding the lesser than sign, we can treat this equation as 5x-7=13. This doesn't work all the time as there are rules, but those rules don't apply to a simple inequality such as this.

5x-7<13

5x<20

x<4

And so, our answer is x<4

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What is the solution to the system of equations below?
Vanyuwa [196]

Answer:

A. (–8, 2)

Step-by-step explanation:

(1)       y =  ½x + 6  

(2)       y = -¾x –  4     Set (1) = (2)  

½x +   6 = -¾x –  4     Multiply each side by 4

2x  + 24 = -3x – 16     Add 16 to each side

2x  + 40 = -3x              Subtract 2x from each side  

        40 = -5x              Divide each side by -5

(3)       x = -8                 Substitute (2) into (1)

          y = ½(-8)  +6

             = -4 + 6

             =  2

The solution to the system of equations is (-8 ,2).

You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).

Check:

2 = ½(-8) + 6     2 = -¾(-8) - 4

2 = -4 +6           2 = 6 - 4

2 = 2                 2 = 2

8 0
3 years ago
Why do whole numbers raised to an exponent get bigger while fractions raised to an exponent get smaller
Brilliant_brown [7]

Answer:

when you multiply a whole number by itself it will obviously get bigger.

4 to the 2nd power equals 16 because 4x4 = 16

if you were to multiply a smaller number though, it wouldn't get as big.

Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.

ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.

Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.

1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.

Step-by-step explanation:

5 0
3 years ago
How do you write 0.047 in Word Expanded Form
seropon [69]

forty-seven thousandths is the correct way to write 0.047 in word form.

Expanded form of 0.047 is

.04 + .007

Hope this helps.

3 0
3 years ago
The equation y = 0.30x + 69 models the cost y of renting a car if the car is driven x miles.
kumpel [21]
Answer 191

0.3(405)+69=190.50
3 0
2 years ago
Simplify.<br> (c/3)^-2<br><br> A. c²/9<br> B. 9/c²<br> C. 1/9c²<br> D. 9c²
torisob [31]
The same applies to this one as well...we have a fraction of C/3 and the whole fraction has the exponent of -2.

C^-2 / 3^-2 = C^-2 / 9....we can't have a negative exponent in the numerator, so we send it to the bottom and make it a positive...

9 / C^2
6 0
2 years ago
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