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Reil [10]
3 years ago
14

Select the correct answer what is the range of the function shown in the graph?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0

Answer:

In the step by step

Step-by-step explanation:

Graph 1 : k(x)=(1/4)^x

Graph 2: f(x)=-(1/4)^x

Graph 3: g(x)=4^x

Graph 4: h(x)=-4^x

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a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the
nlexa [21]

Answer:

The standard equation of the parabola is:

y=-\frac{3}{2}x^2+12x-18

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}

Then the equation of the parabola becomes:

y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18

7 0
3 years ago
Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough s
Xelga [282]

Answer:

Step-by-step explanation:

Complete Question:

Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough so that the sample proportions follow a normal distribution?

a) n=600 p=0.2

b) n=20, p=0.4

if np=10 and npq=10 then  the data follows normal distribution

a) np= 120,

q= 1-0.2= 0.8

npq= 600 ×0.2×0.4 = 48

Normal distribution is appropriate and sample size is large enough

b) np= 8

q= 1-0.4= 0.6

npq= 20 × 0.4×0.6= 4.8

sample size is not large enough so normal distribution is not appropriate.

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3 years ago
Write 4670 000 in standard form.
lianna [129]

Answer:

4.67×10^6  is the correct answer

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7 0
3 years ago
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The temperature changes can be represented by the expression -0.5( 1 -2h).Chase says that the temperature change can also be rep
UNO [17]

Answer:

The expression are equivalent

Step-by-step explanation:

The question requests that we show whether the equation -0.5( 1 -2h) is equivalent to 4(2h + 2) - 7h - 8.5 or not :

Simplifying 4(2h + 2) - 7h - 8.5 ; we have ;

4(2h + 2) - 7h - 8.5

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h - 0.5

-0.5(1 - 2h)

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Hence, both expressions are the same

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What ratio represents the tangent of
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Answer:

Step-by-step explanation:

15/8

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