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3 years ago

What is the simplified form of 3x - 6/ x -2 ?

2 answers:

7 0

we are asked to determine the simplified form of 3x - 6/ x -2. In this case, 3x - 6 can be factored using the GCF of 3x and 6 which is 3. Thus the factored equation is 3 * (x-2 ). Thus x-2 cancels out to leave the equation simply equal to 3.

nlexa [21]3 years ago

5 0

3x-6/x-2
3(x-2)/x-2
3

3 is the simplified form

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What's the volume of a cone with the base of 14ft?

Nostrana [21]

Answer:

$volume = \frac{1}{3} \pi {r}^{2} h \\ but \: h = 7 \tan(50 \degree) \\ h = 8.34 \: ft \\ volume = \frac{1}{3} \times 3.146 \times {(7)}^{2} \times 8.34 \\ volume = 428.55 \: cubic \: ft$

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3 years ago

Diana is painting statues. She has \dfrac{7}{8} 8 7 start fraction, 7, divided by, 8, end fraction of a liter of paint remaini

anzhelika [568]

Answer:

Number of statues that can be painted are 17

Step-by-step explanation:

Initially Diana has $\frac{7}{8}$ liters of paint remaining.

Every statue requires $\frac{1}{20}$ liters of paint for painting.

We have to find how many statues we will be able to paint with this remaining paint.

To get the number of statues,

Number of statues = $\frac{Paint remaining}{Paint required for 1 statue}$

number of statues = $\frac{\frac{7}{8} }{\frac{1}{20} }$

= $\frac{35}{2}$ = 17.5

Since the number of statues is not an integer the maximum number of statues that can be painted are 17.

3 0

3 years ago

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Consider the function f (x) = x2.

klio [65]

Answer: The graph is shifted 2 units to the right.

Step-by-step explanation:

Given a function f(x), we know that one transformation rule is:

If $f(x-k)$ then the function is shifted "k" units to the right.

Therefore, for the function $f(x)=x^{2}$ , when we subtract 2 from the input, then we get the function g(x) in the form:

$g(x)=(x-2)^{2}$

We can conclude that subtracting 2 from the input of the function $f(x)=x^{2}$ , then the graph is shifted 2 units to the right.

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3 years ago

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(-4, -7) and (-6, 9) in slope-intercept form. Show work

BigorU [14]

Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

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

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

$m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8$

Putting slope in general equation

$y = -8x+b$

Putting (-6,9) in the equation

$9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39$

Putting the value of b we get

$y = -8x-39$

Hence,

Equation of line in slope-intercept form is: y = -8x-39

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3 years ago

What is the first quartile (Q1) of the data set?

VikaD [51]

A 48.5 The answer is A because you would put the numbers in order from least to greatest, find the median, then find the median of the other two sets.

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3 years ago

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