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kompoz [17]
3 years ago
9

Which description best fits the graph?

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

always decreasing

Step-by-step explanation:

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Geometry <br> 16. Find the value of x. The diagram is not to scale,
bagirrra123 [75]
You solve by 140-68 which equals 72
So x=72 degrees
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2 years ago
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A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. Find a quadratic func
UNO [17]
Let    x refers to the Month numbers
And  y refers to Number of births

There is 5 steps to find the quadratic function that models the data.

First step           ⇒ <span>Plot <span>the data pairs (<span>x<span>, <span>y<span>) in a coordinate plane.
                              which are the blue circles in the attached figure

Second step     ⇒ </span></span></span></span></span></span><span>Draw <span>the parabola you think best fits the data.
                             Which is the red function in the attached figure.

</span></span><span><span>Third step         ⇒</span> Estimate <span>the coordinates of three points on the
<span>                             parabola, which are (2, 108), (4, 68), and (6, 75).</span>
                             </span></span><span><span>which are the black squares in the attached figure</span>

Fourth step       ⇒ </span><span>Substitute <span>the coordinates of the points into the<span> model <span>
                            y <span>= <span>ax<span>2 <span>+ <span>bx <span>+ <span>c
<span>                            to obtain a system of three linear equations.</span>

                            4a + 2 b + c = 108   ---------(1)
                            </span></span></span></span></span></span></span></span></span></span></span><span><span>16a + 4 b + c = 68   ---------(2)</span>
                            36a + 6 b + c = 75   ---------(3)   

Fifth step   ⇒ </span><span>Solve <span>the linear system.
                      By using the calculator
                      a = 5.875 , b = -55.25 , c = 195

So, the</span></span><span> quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
T</span><span>o predict the number of births for month 8
substitute with x = 8 ⇒  y = </span><span>5.875 * 8²- 55.25 * 8 + 195 = 129</span>







3 0
3 years ago
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Given: F(x) = x + 2 and G(x) = 3x + 5<br><br> (F*G) (x) =
vovangra [49]

Answer:

\boxed{(f \times g)(x) = 3 {x}^{2}  + 11x + 10}

Given:

f(x) =  x + 2 \\  \\ g(x) =  3x + 5

To Find:

(f \times g)(x) = f(x) \times g(x)

Step-by-step explanation:

=  > f(x) \times g(x) = (x + 2)( 3x + 5) \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =x( 3x + 5) + 2(3x + 5)  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =3 {x}^{2}  + 5x + 6x + 10\\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =3 {x}^{2}  + 11x + 10

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kotykmax [81]
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An art exhibit at a local museum features several similarly shaped metal cubes welded together to make a sculpture. The smallest
borishaifa [10]

Answer: Length of other edges will be 7.5 inches, 8 inches, 9 inches, 10.5 inches, 12 inches.

Explanation:

Length of smallest cube = 6 inches

Ratio of similarity to the smallest cube is given as follows:

1) 1.25

So, length of other edge will be

1.25\times 6=7.5\ inches

2) 4:3

So, the length of other edge will be

\frac{4}{3}\times 6=8\ inches

3) 1.5

So, length of other edge will be

1.5\times 6=9\ inches

4) 7:4

So, length of other edge will be

\frac{7}{4}\times 6=10.5\ inches

5) 2

So, length of other edge will be

2\times 6=12\ inches

5 0
3 years ago
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