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mash [69]
3 years ago
5

39.99+0.45x=44.99+0.4x​

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

x=100

Step-by-step explanation:

39.99+0.45x=44.99+0.4x​

0.45x=5+0.4x    

0.05x=5

x=100

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Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?
frozen [14]

Answer:

the vertex is at (2, 8) and the axis of symmetry is x = 2

Step-by-step explanation:

In h(x)=−2x2+8x please use the symbol " ^ " to indicate exponentiation:

h(x)=−2x^2+8x      

This is a quadratic equation with coefficients a = -2, b = 8 and c = 0.

The axis of symmetry equation is x = -b/ (2a).

                                                                                                -8

Here, with a = -2 and b = 8, the axis of symmetry is   x = --------- = 2

                                                                                               2(-2)

To find the y-coordinate of the vertex, substitute 2 for x in h(x)=−2x^2+8x, obtaining

h(2) = -2(2)^2 + 8(2) = -2(4) + 16 = 8

In summary, the vertex is at (2, 8) and the axis of symmetry is x = 2.

5 0
3 years ago
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Solve by graphing:<br> y = 4x - 10<br> y = 3x - 5
Andrews [41]
Hey the solution to your question is (5,10).
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The number of square feet per house is normally distributed with a population standard deviation of 154 square feet and an unkno
11111nata11111 [884]

Answer: (1500.66,1599.34)

Step-by-step explanation:

Confidence interval for population mean:

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

,where \overline{x} = Sample mean , n= Sample size, z* = critical two tailed z-value , \sigma = population standard deviation.

As per given , we have

n= 16

\sigma = 154 square feet

\overline{x}= 1550 square feet

\alpha= 1-0.80 = 0.20

Critical z-value = z_{\alpha/2}=z_{0.2/2}=z_{0.1}=1.2815

Confidence interval for population mean:

1550\pm (1.2815)\dfrac{154}{\sqrt{16}}\\\\ = 1550\pm (1.2815)\dfrac{154}{4}\\\\= 1550\pm 49.33775\\\\ =(1550-49.33775,\ 1550+49.33775)\\\\\approx (1500.66,\ 1599.34)

Required confidence interval:  (1500.66,1599.34)

6 0
3 years ago
Identify the slope and the y-intercept of the following function: y= 1/3x-9
Ahat [919]

Slope: 1/3x Also rise over run and the Y-intercept would be -9

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How many acute angles does a triangle have?
OleMash [197]
Two angles, each 90 degrees
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