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Oliga [24]
3 years ago
15

Solve each system substitution 6x - 12y=24 And -x - 6y=4

Mathematics
1 answer:
almond37 [142]3 years ago
4 0
6x-12y=24
x=-6y-4
6(-6y-4)-12y=24
-36y-24-12y=24
-48y=48
y=-1
6x-12(-1)=24
6x+12=24
6x=12
x=2

6(2)-12(-1)=24
12+12=24
 24=24 true
and
-(2)-6(-1)=4
-2+ 6=4
4=4 true
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Please help with multiple choice question
Volgvan

Answer:

D:   {9, 21, 33}

Step-by-step explanation:

Ken worked 2, 8 and 14 hours on 3 separate days.

For working 2 hours, his earnings were f(2) = 2(2) + 5, or 9;

For working 8 hours, his earnings were f(28) = 2(8) + 5, or 21; and

For working 14 hours, his earnings were f(14) = 2(14) + 5, or 33

Thus, the range of this function for the days given is {9, 21, 33} (Answer D)

7 0
3 years ago
Melissa averages a rate of 1.5 steps per second while walking. How many steps will she take in an hour if this rate continues?
Sonbull [250]

Answer:

5400

Step-by-step explanation:

1.5×60=90 steps per min

90×60=5400 steps per hour

6 0
3 years ago
Show work for this scientific notation
Viktor [21]

\frac{5.1*10^{-2}}{4.57*10^{-4}} \\=\frac{5.1*10^{2}}{4.57} \\=\frac{5.1}{4.57}*10^{2}\\=1.1*10^{2}

The answer is rounded to the nearest tenth.

7 0
3 years ago
Choose the correct solution and graph inequality q + 1/3 > 1/2​
kherson [118]

Answer:

first choice

Step-by-step explanation:

make 1/3 and 1/2 a common denominator, which is 6.

1x2

-      = 2

         -

3x 2   6

1 x 3  

-       =    3

             -

2 x 3      6

now u have 2/6, and 3/6

u subtract 2/6 by 3/6 since ur finding a solution to an inequality. remember to do the opposite sign.

2/6-2/6 = 0 (u cancel that out)

3/6 - 2/6 = 1/6

now u have

q>1/6

since there's no 1/6 the first choice is the most accurate

7 0
3 years ago
Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) =
Umnica [9.8K]

Answer:

f[c(p)] = 0.784p

Step-by-step explanation:

sales discount = 30%

sales tax = 12%

c(p) = 0.7p where p is the original price

f(c) = 1.12c where c is the sales price of the bike.

f[c(p)] = 1.12(0.7p)

f[c(p)] = 0.784p    Last option.

Assume: p = 100

c(100) = 0.7(100) = 70

f(70) = 1.12(70) = 78.4

f[70(100)] = 0.784(100) = 78.4

7 0
3 years ago
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