Answer:
7x + 14
Step-by-step explanation:
the first thing to do is expand the parentheses/brackets.
3(5x + 2) -2(4x - 4) will be
3(5x) + 3(2) -2(4x) -2(-4)
= 15x + 6 - 8x + 8
collect like terms
15x - 8x + 6 + 8 = 7x + 14
the answer is 7x + 14
Then, the total weight would be: 3 * 14 = 42 Ounces
Step-by-step explanation:
y=-3+5x
substitute y into equation 2
3x-8y=24
3x-8(-3+5x)=24
3x+24-40x=24
x=0
y=-3+5(0)
y=-3
(x,y)=(0,3)
Answer:
total area = 193.31 m²
Step-by-step explanation:
rectangle area = 7 x 15 = 105 m²
semi circle area = (3.14)(7.5²)/2 = 88.31 m²
total area = 105 m² + 88.31 m² = 193.31 m²
The coordinate of the vertex is; (h, k) = (3, -5)
The final equation of the parabola is; y = 5(x - 3)² - 5
<h3>How to find the vertex of a Parabola?</h3>
The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.
The coordinate of the vertex is; (h, k) = (3, -5)
2) Since the general equation is;
y = a(x - h)² + k
We will have;
y = a(x - 3)² - 5
At x = 2, y = 0. Thus;
0 = a(2 - 3)² - 5
a - 5 = 0
a = 5
3) The final equation of the parabola is;
y = 5(x - 3)² - 5
Read more about Parabola Vertex at; brainly.com/question/17987697
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