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3 years ago

Use the graph that shows the solution f(x) = G (x)

Mathematics

2 answers:

Bingel [31]3 years ago

7 0

Answer:

The correct options are A and C.

Step-by-step explanation:

The given functions are

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

$G(x)=2^x$

We have to find to solution for the equation

$F(x)=G(x)$

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

The solution of the above equation is the intersection of F(x) and G(x).

From the graph it is noticed that both graph intersects each other at (0,1) and (2,4).

The x-coordinates of these points are the solutions of the given equation.

Therefore the solution of given equation are 0 and 2.

Therefore option A and C are correct.

enot [183]3 years ago

3 0

Answer:

(0,1) and (2,4)

Step-by-step explanation:

We have given two functions.

f(x) = -3/4x^2 + 3x + 1

g(x) = 2^x

We have to find the solution for which

f(x) = g(x)

We have to choose method of graphing.

The solution of two functions are the intersecting point of both graph.

The intersecting points of given graphs are (0,1) and (2,4).

Hence, the solutions are (0,1) and (2,4).

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Licemer1 [7]

Answer:

The MEDIAN, 4.5 hours, is the best measure of center, so the IQR is the best measure of variability.

McKennas conclusion IS NOT accurate. The mode of her data IS 6 hours. However, MORE than half of the time, she spends LESS than 6 hours riding her horse. It would be more accurate to say that Mckenna typically rides her horse between 2.5 and 6 hours.

Step-by-step explanation:

Put the values in order of smallest to largest:

0, 2, 2, 2.5, 2.5, 3, 4, 5, 6, 6, 6, 8, 9, 10

Median (middle value) = (4 + 5)/2 = 4.5

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Mode (value that occurs most often) = 6

Mean (average) = sum of values ÷ number of values = 4.7

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Median is the best measure of the center since it isn't influenced by extreme values.

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3 years ago

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Lubov Fominskaja [6]

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In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:

80 + 2x = 180

Subtract 80 from both sides of the equation.

2x = 100

Divide both sides by 2.

x = 50

This means that angle F and angle H in ∆FDH both measure 50°.

Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.

First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.

**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**

In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:

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Angle DHG = 130°.

Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:

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