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3 years ago

Find the y- intercept and x-intercept of the line. 4x-y=8

Mathematics

1 answer:

Darya [45]3 years ago

8 0

Answer:

x-intercept is (2,0)

y-intercept is (0,-8)

Step-by-step explanation:

to find the 'x-intercept', substitute zero for 'y' and solve:

4x - 0 = 8

4x = 8

x = 2; x-intercept is (2,0)

4(0) - y = 8

0 - y = 8

y = -8; y-intercept is (0,-8)

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What is the effect on the graph of the function f(x) = 2x when f(x) is changed to f(3x)?

Assoli18 [71]

Answer:

C) Horizontal compression

Step-by-step explanation:

Since, if y = f(x) is a function,

Then y = a f(x) gives a vertical stretch if a > 1 and gives a vertical compression if 0 < a < 1.

Also, y = f(bx) gives a horizontal stretch when 0 1.

Here,

The given parent function is,

f(x) = 2x

And, 3 > 1

Thus, by the above statements,

f(3x) will give a horizontal compression.

Hence, Option C is correct.

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3 years ago

Given: F(x)=2x-1; g(x)=3x+2; h(x)=x^2 find h(x+a)-h(x)

umka21 [38]

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3 years ago

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If an angle measures x° what is its complement

Natali5045456 [20]

90-x because a complementary angle is =90 degrees.

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3 years ago

It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random

Rzqust [24]

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

$\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9$

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample t-test will be used.

The correct option is b.

(2)

The null hypothesis is:

H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

$SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F$

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

$t=\frac{\bar x-\mu}{SD_{\bar x}}$

$=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67$

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

= 9 - 1

= 8

Thus, the degrees of freedom of the test is 8.

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3 years ago

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REY [17]

Substitute a number for each variable

Ex.
2x x=5
(2)(5)
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