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Feliz [49]
3 years ago
5

-7x-50 is less than or equal to -1 and -6x +70is greater than -2?

Mathematics
1 answer:
Ksju [112]3 years ago
5 0

Answer:

x ≤ 7

Step-by-step explanation:

7x-50≤ -1 and -6x +70> -2

Solve separately and then put back together

7x-50≤ -1

Add 50 to each side

7x-50+50≤ -1+50

7x ≤ 49

Divide each side by 7

7x/7 ≤ 49/7

x ≤ 7

-6x +70> -2

Subtract 70 from each side

-6x +70-70> -2-70

-6x> -72

Divide by -6, remembering to flip the inequality

-6x/-6 < -72/-6

x < 12

The first is more restrictive, and since it is an and, we use the more restrictive answer

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F(c)= 9/5c+ 32 I just don't understand how to find the inverse of the function
Viefleur [7K]
F = 9/5 C + 32
- 32 -32

subtracting - 32 from both sides

F - 32 = 9/5c
5/9 F -32 = 5/9(9/5)C

Invert 9/5 to 5/9 multiply to both sides

5/9F - 32 = C

The answer is 5/9F-32 = C
5 0
3 years ago
The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.
kobusy [5.1K]

C = 220T + 1890.

Solve the equation for T.

220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.

y = 310x

Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

* Here, note that the cost of production and tons of steel in the first equation is in the millions.  The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1

The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

Set equal to Cost equation.

220T + 1980 = 310T

Solve for T, million tons of steel produced.

1980 = 310T - 220T

1980 = 90T

T = 1980/90

T = 22 million tons steel produced


7 0
3 years ago
PLEASE HELP MEEE! DON'JOKING PLEASEEE!
patriot [66]

Answer:

24 Cats.

Step-by-step explanation:

You can set up an inequality of 21/18 and 28/x.

Multiply 18 and 28, you get 504. Divide 504 by 21 and you get your answer of 24.

3 0
3 years ago
Read 2 more answers
How do we express twice the sum of a tube and four
Bumek [7]

Answer:

Step-by-step explanation:

2(4 + x) = 34

4 + x = 34/2 = 17

x = 17 - 4 = 13

4 0
3 years ago
Quadrilateral PQRS is dilated by a scale factor of 1/2 with point R as the center of dilation, resulting in the image P'Q'R'S'.
Pachacha [2.7K]

The statement that is true about line segment P'S' is (c) Segment P'S' s 4 units long and lies on a different segment

<h3>How to determine the true statement?</h3>

The complete question is in the attached image

From the image, we have:

PS = 8 units

This means that:

P'S' = 1/2 * PS

So, we have:

P'S' = 1/2 * 8

Evaluate

P'S' = 4

Also, the segment PS and P'S' do not lie on the same segment

Hence, the true statement is (c)

Read more about dilation at:

brainly.com/question/13176891

#SPJ1

3 0
2 years ago
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