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laila [671]
3 years ago
9

What value of x is in the solution set of 3(x-4)greater than or equal to 5x+2

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

3(x-4)>= 5x+2

Distributing 3 on x-4

3(x)-3(4)>=5x+2

3x-12>=5x+2

Now we need to move x terms together and the numbers together and for that we subtract 5x to both sides and add 12 to both sides

-2x >=14

Now we need to get rid of -2, and for that we divide both sides by -2 and on dividing by negative number, the sign of inequality change , that is

x<=-7

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Pachacha [2.7K]

Answer:

Second table.

Step-by-step explanation:

A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.

The additive rate of change is determined using the slope formula,

m =  \frac{y_2-y_1}{x_2-x_1}

From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.

m =  \frac{ - 9- - 3}{4-2}  =  - 3

For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.

The additive rate of change of this table is

m =  \frac{ - 1 -  - 4}{3 - 1}  = 3

Therefore the second table has an additive rate of change of 3.

5 0
3 years ago
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The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this r
nadezda [96]
If the width is 28 inches, then divide that by 4 and you get 7. You multiply that by 5 to get the length. That would be 35. Just to check, you know that the width 28 and length 35 are in ratio 4:5 if you divide by 7. The perimeter would be 2(35+28)=63*2=126. So the perimeter is 126. The area would be 35*28 which is 980. To sum up, the answers are as follows.

Length: 35 in
Perimeter: 126 in
Area: 980 inches squared.
5 0
3 years ago
To get ready for the new season Jayden bought new basketball sneakers. Jayden paid $96.12 after paying the 8% tax. How much were
Nataly [62]

You would take the amount of increase and divide it by the amount of total cost over the time period of certain months. Then you would multiply that number by the percentage of increase gained, and subtract 96.12 to get your answer.

6 0
3 years ago
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The radius of the cylinder is 12cm and the height is 7cm
Anit [1.1K]

Answer: 1432.752cm2

Step-by-step explanation:

Surface area of a cylinder is 2πr2+2πrh

R=12cm

H=7cm

Surface area= 2×3.142×12×12 + 2×3.142×12÷7

Surface area= 904.896+527.856

Surface area= 1432.752cm2

7 0
3 years ago
How would I rewrite this?
Anvisha [2.4K]

Answer:

-The answer is y^2 .

Step-by-step explanation:

When you divide numbers/variables with exponents, the exponents will subtract each other:

\frac{y^5}{y^3} =y^2

8 0
3 years ago
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