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3 years ago

G(x) equals what? PLEASE HELP ME!!!

Mathematics

2 answers:

Nonamiya [84]3 years ago

8 0

G(x) is an absolute value function. The standard form for an absolute value function is f(x) = |x|.

The slope of this is equal to -6/-4 or 3/2.

It is flipped over the x-axis, so it will have a negative value out front.

g(x) = -3/2|x| is the equation for this graph.

9966 [12]3 years ago

8 0

Hello:
if : x ≥ 0 g(x) = ax and : g(0)=0 g(2)=-3
-3 =a(2) ..... a= - 3/2
if : x ≤ 0 g(x) = ax and : g(0)=0 g(-2)=-3
-3 =a(-2) ..... a= 3/2
conclusion :
g(x) = (-3/2)x if : x ≥ 0
g(x) = (3/2)x if : x ≤ 0
so : g(x) = -3/2|x|

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Given \tan A = \frac{7}{{24}}, find the cos B

Natali5045456 [20]

We are given

$tan(A)=\frac{7}{24}$

we know that

$tan(A)=\frac{opposite}{adjacent}$

so, we get

opposite =7

adjacent=24

now, we can find hypotenuse

$hypotenuse=\sqrt{7^2+24^2}$

$hypotenuse=25$

now, we can draw triangle and then switch vertices accordingly

we can find cos(B) using second triangle

$cos(B)=\frac{adjacent}{hypotenuse}$

In second triangle:

adjacent=7

hypotenuse =25

so, we get

$cos(B)=\frac{7}{25}$ ................Answer

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3 years ago

A study of 25 graduates of 4-year public colleges revealed the mean amount owed by a student in student loans was $55,051. The s

Harman [31]

Answer:

Step 1

The data represent amount.

A 90% confidence interval for the population mean is,

First, compute t-critical value then find confidence interval.

The t critical value for the 90% confidence interval is,

The sample size is small and two-tailed test. Look in the column headed and the row headed in the t distribution table by using degree of freedom is,

The t critical value for the 90% confidence interval is 1.711.

A 90% confidence interval for the population mean is .

Step 2

It is reasonable to conclude that mean of the population is actually $55000 due to a 90% confidence intrerval for population mean is between $52461.23 and $57640.77 does include $55000.

The data represent amount.

A 90% confidence interval for the population mean is,

First, compute t-critical value then find confidence interval.

The t critical value for the 90% confidence interval is,

The sample size is small and two-tailed test. Look in the column headed and the row headed in the t distribution table by using degree of freedom is,

The t critical value for the 90% confidence interval is 1.711.

A 90% confidence interval for the population mean is .

It is reasonable to conclude that mean of the population is actually $55000 due to a 90% confidence intrerval for population mean is between $52461.23 and $57640.77 does include $55000.

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2 years ago

Use slope-intercept form, y = mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4).

Mnenie [13.5K]

Answer:

y = one-third x + 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Find slope m

m = (4 - 1)/(3 + 6)

m = 3/9

m = 1/3

y = 1/3x + b

Step 2: Find b

4 = 1/3(3) + b

4 = 1 + b

b = 3

Step 3: Rewrite

y = 1/3x + 3

6 0

3 years ago

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Which equation has a slope of -2 and passes through the point (1,-6)?

Naily [24]

Answer:

y=-2x-4

Step-by-step explanation:

Given that,

Slope, m = -2

It passes through the point (1,-6).

We need to find the equation of line that passes throgh the given point. It can be calculated as:

$y-y_1=m(x-x_1)$

Put y₁ = -6, x₁ = 1 and m = -2

$y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4$

Hence, the equation of line is y=-2x-4.

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3 years ago

Find g(4x) g(x)=x²-4

7nadin3 [17]

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

(ax)² = a²x², where a is some arbitrary constant.

<h3>Answer: </h3>

=> g(4x) = 16x² - 4

=> g(4x) = 4{4x² - 1}

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2 years ago

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