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Anvisha [2.4K]
3 years ago
15

F(x)=2x+5 g(x)=4x^2 Evaluate (fg)(x)

Mathematics
1 answer:
stira [4]3 years ago
3 0
4x^2(2x+5)
=8x^3 + 20x
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Was Abraham Lincoln assassinated in a theater
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Yes, he was assassinated in <span>15 April 1865, </span><span>Petersen House, Washington, D.C., United States</span>
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3 years ago
Read 2 more answers
Need help fast.
Lisa [10]

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

 

The diagonal is the width times √17.

4 0
3 years ago
Find the quadratic function y=​f(x) whose graph has a vertex ​(−3​,4​) and passes through the point ​(−7​,0). Write the function
olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola.  The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.  

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front.  So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex:  x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

a=-\frac{1}{4}

Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.

y=-\frac{1}{4}(x+3)^2+4

Now we will FOIL out what's inside the parenthesis to get

y=-\frac{1}{4}(x^2+6x+9)+4

Simplify by distributing the -1/4 into the parenthesis:

y=-\frac{1}{4}x^2-\frac{3}{2}x-\frac{9}{4}+4

Combine like terms to get

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{7}{4}

And there you go!

5 0
3 years ago
What is the answer to the equation?
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Y=-3x+5
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the y-intercept is 5 because that’s where the line crosses the y-axis
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2 years ago
Stan, a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. On Monday he is assigned a route that is
Maurinko [17]
3.50m+75 for the 30 miles, he is being paid 105 plus the daily amount of 75 which equals to 180$.
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