Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10. (4 points)

Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?

Inga [223]

Answer:

a)

$f(x) = \frac{4}{x-8} - 3.5$

Step-by-step explanation:

The y intercept of g(x) is the value of g when x = 0.

In this problem

$g(x) = \sqrt{x+4} - 6$

The y-intercept is

$g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4$

a)

$f(x) = \frac{4}{x-8} - 3.5$

The y-intercept is:

$f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4$

This is the correct answer

b)

$f(x) = -\frac{4}{x} - 1$

The y-intercept is

$f(0) = -\frac{4}{0} - 1$

This is an asymptote

c)

$f(x) = 2|x+2|$

The y-intercept is

$f(0) = 2|0+2| = 4$

d)

$f(x) = |x - 4|$

The y-intercept is

[tex]f(0) = |0-4| = |-4| = 4.

7 0

3 years ago

Identify which lines are parallel y=(1/2)× 4

mars1129 [50]

Your question is a bit unclear, but if you mean which lines are parallel to this one then I have an answer.

1/2*4=2 so this line would be y=2 which means it is a horizontal line. Therefore, any other horizontal line would be parallel to it. So just pick a value for Y to equal and that will be your answer.
ie. y=7

5 0

3 years ago

Explain why 2/3 x 12 can be written as 2 x 12 divided by 3.

Inga [223]

Answer and Step-by-step explanation:

$\frac{2}{3}$ × 12 can also be written as $\frac{2 * 12 }{3}$ because the 12 is multiplying the numerator of the fraction.

12 can also be written as $\frac{12}{1}$ .

When we solve, this is what is happening:

$\frac{2}{3}$ × $\frac{12}{1}$

The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

3 0

3 years ago

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A certain test preparation course is designed to help students improve their scores on the GRE exam. A mock exam is given at the

Westkost [7]

Answer:

(0.25 ; 21.75)

8.7 (1 decimal place)

Step-by-step explanation:

Net change in scores : X = 6,14,12,23,0

Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11

Sample standard deviation, s = 8.66 ( from calculator)

Sample standard deviation = 8.7( 1 decimal place)

Sample size, n = 5

The 95% confidence interval; we use t, because n is small

Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776

Xbar ± standard Error

Standard Error = Tcritical * s/√n

Standard Error = 2.776 * 8.66/√5

Standard Error = 10.751086 = 10.75

Lower boundary = (11 - 10.75) = 0.25

Upper boundary = (11 + 10.75) = 21.75

(0.25 ; 21.75)

The

8 0

2 years ago

Triangle J K L is shown. Angle J K L is 67 degrees and angle K L J is 74 degrees. The length of K L is 2.3

velikii [3]

The answer is definitely 9.2

7 0

3 years ago

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