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dem82 [27]
2 years ago
7

Help me solve this problem please

Mathematics
2 answers:
kenny6666 [7]2 years ago
7 0

Answer:

(2, -2)

Step-by-step explanation:

4x + y = 6

x - 2y = 6

x = 2y + 6

4(2y + 6) + y = 6

8y + 24 + y = 6

9y + 24 = 6

9y = 6 - 24

9y = -18

y = -18 ÷ 9

y = -2

4x + (-2) = 6

4x - 2 = 6

4x = 6 + 2

4x = 8

x = 8 ÷ 4

x = 2

Confirm:

4x + y = 6

4(2) - 2 = 6

8 - 2 = 6

6 = 6 (Correct)

(2, -2)

harina [27]2 years ago
6 0

Answer: (2, -2)

x=2, y=-2

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Step2247 [10]

Answer:

p=10\sqrt[3]{54}x^2

Step-by-step explanation:

We are given parallelogram

Since, two opposite sides of any parallelogram are always equal

Let's assume first side =a

second side =b

so, we get

a=2\sqrt[3]{54}x^2

b=3\sqrt[3]{54}x^2

now, we can find perimeter

perimeter=2a+2b

so, we get

p=2(2\sqrt[3]{54}x^2)+2(3\sqrt[3]{54}x^2)

we can simplify it

p=4\sqrt[3]{54}x^2+6\sqrt[3]{54}x^2

p=10\sqrt[3]{54}x^2................Answer


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3 years ago
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anyanavicka [17]

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A florist is making flower arrangements for a party.
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Answer:

Step-by-step explanation:

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Pls help I'll follow and medal
Igoryamba
For any quadratic functions, ax² + bx + c, we can easily find the x-coordinate of its vertex through the use of the formula below.

x_{vertex} = \frac{-b}{2a}

where a and b are the coefficients of the function. For f(x), we have a = -1 and b = -16. Thus, we have
 
x_{vertex} = \frac{-16}{2(-1)}
x_{vertex} = 8

Since we now have the x-coordinate of the vertex, we can just easily substitute 8 into f(x) as shown below.

y_{vertex} = f(8) = -(8)+16(8)-60
y_{vertex} = 60

Thus, the vertex of f(x) is (8, 60). The vertex of the function shows the maximum value that the function can reach. For this particular case, the vertex represents the maximum profit that the shop owner could earn.

The x-intercepts of the function are the values of x when f(x) is zero. By equation f(x) with zero, we can solve the quadratic equation to find the x-intercepts as shown below.

-x^{2}+16x-60 = 0
x^{2}-16x+60=
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From this, we can see that the x-intercepts are (6, 0) and (10, 0). We just discussed that the x-intercepts are the values of x when y is zero. So, for this case it means that the shop does not earn a profit if they sell 6 or 10 candles. Basically, the x-intercepts represent the number candles sold if the shop wants to break even.
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