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baherus [9]
3 years ago
10

-7(a - 3) = 11 - 7a what’s the answer

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0

Answer:

the statement is false there is no solution

Step-by-step explanation:

step 1       -7(a-3)=11-7a

step 2      -7a+21=11-7a

step 3      cancel out the -7a's

step 4       you are left with 21=11 which does not work so it is false

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Which system of inequalities represents region Z?
ANTONII [103]

Answer:

The system of inequalities is

y\geq 3x-2

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Step-by-step explanation:

step 1

Find the equation of the solid blue line

Let

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Find the slope of AB

m=(1+2)/(1-0)=3

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=3

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substitute

y=3x-2 -----> equation of the solid blue line

The solution of the inequality is the shaded area above the solid line

therefore

The first inequality is

y\geq 3x-2

step 2

Find the equation of the dashed red line

Let

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The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-1/5

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substitute

y=-(1/5)x+2 -----> equation of the dashed red line

The solution of the inequality is the shaded area below the dashed line

therefore

The second inequality is

y

The system of inequalities is

y\geq 3x-2

y

8 0
3 years ago
the weight of an object on mars varies directly as the weight of the object on earth a 90 pound object on earth weighs 34 pounds
Mariulka [41]

We have been given that the weight of an object on the mars varies directly as the weight of the object on earth.  

Let y be weight of an object on Mars and x be weight of an object on Earth.

\\
y=kx

We have been given that the weight of an object on Mars is 34 pounds and weight of the same object on Earth is 90 pounds.

Putting the given values in equation we get

\\
34=k(90)\\
\\
k=\frac{34}{90}=\frac{17}{45}

Therefore, our equation now becomes

\\
y= \frac{17}{45}x

Now we have been given that the weight of an object on Earth is 135 pounds and we have to find the weight of the same object on Mars,

We have been given that \\
x=135

Putting the given values in our equation we get

\\
y= \frac{17}{45}(135)=\frac{17\cdot 135}{45}=17\cdot 3 = 51

Therefore weight of the object on Mars will be 51 pounds.

                                                                             

7 0
4 years ago
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irinina [24]
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