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Tom [10]
3 years ago
7

30. What is the solution to the system of equations?

Mathematics
1 answer:
sukhopar [10]3 years ago
5 0

Answer:

x = 3

y = 0

z = 8

Step-by-step explanation:

a) 3x + 3y - z = 1

b) z = 8

c) -x -3y + 2z = 13

a) 3x + 3y - 8 = 1 (substitution)

a) 3x + 3y = 9

c) - x - 3y + 2(8) = 13 (substitution)

c) -x - 3y + 16 = 13

c) -x - 3y = -3

(3x + 3y = 9) + (-x -3y = -3)

= 2x = 6

x = 3

a) 3(3) + 3y - 8 = 1

9 + 3y - 8 = 1

y = (1 -9 + 8)/3

y = 0

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Max and Sasha exercise a total of 20 hours each week. Max exercises 15 hours less than 4 times the
navik [9.2K]

Answer:

Max exercises 13 hours a week, and Sasha 7.

Step-by-step explanation:

To find the number of hours each of them exercises during the week, we solve the system of equations.

In the second equation:

x = 4y - 15

Replacing in the first equation:

x + y = 20

4y - 15 + y = 20

5y = 35

y = \frac{35}{5}

y = 7

So Sasha exercises 7 hours per week.

Max:

x + y = 20

x + 7 = 20

x = 13

Max exercises 13 hours a week.

6 0
3 years ago
HELP I NEED HELP ASAP
Natalija [7]

Answer:

A) (2,5)

Step-by-step explanation:

longest side is between points (1,4) and (3,6)

so midpoint is ((1+3)/2), ((4+6)/2), which equals (2, 5)

8 0
3 years ago
Mary are 1/8 of a cake.peter ate 1/4 of the cake.<br> Did peter eat more then Mary
Sergio039 [100]

Answer:

Peter ate more

Step-by-step explanation:

2/8 is equal to 1/4 so peter ate double the amount of cake mary did

6 0
3 years ago
Read 2 more answers
Pls solve quickly !!
Eva8 [605]

Answer:

Options A

Step-by-step explanation:

Properties of the graph given for the function 'g',

y-intercept of the function 'g' → y = -4

Minimum value of g(x) → y = -4 (Value of the function at the lowest point)

Roots of g(x) → x = -2, 2

At x = 4,

g(4) = 11

Another function is,

f(x) = -x² - 4x - 4

     = -(x² + 4x + 4)

     = -(x + 2)²

Properties of the function f(x) = -(x + 2)²,

y-intercept (at x = 0) of the function 'f',

y = -(x + 2)²

y = -4

Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.

Maximum value of the function 'f' = Value of the function at the vertex

Coordinates of vertex → (-2, 0)

Therefore, maximum value of 'f' = 0

Roots (at y = 0) of the function 'f' → x = -2

At x = 4,

f(4) = -(4 + 2)²

     = -36

Therefore, Options A will be the correct option.

5 0
3 years ago
One angle in a triangle has a measure of 87 degrees. What can you conclude about the other two angles?
Dominik [7]

Answer:

the sum of the other two angle is 93

Step-by-step explanation:

180-87=93

6 0
4 years ago
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