Billy has a gift card with a $160 balance. He buys several video games that cost $40 each. After the purchases, his gift card ba
2 answers:
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Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry:
= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
Answer:
- Length = 17 inches
- Width = 12 inches
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Step-by-step explanation:
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As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,
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Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .
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Now, <u>According to the Question :</u>
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Therefore,
- The width of the rectangle is 12 inches .
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Now, We are to find the length of the rectangle:
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Therefore,
- The length of the rectangle is 17 inches .
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