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Burka [1]
3 years ago
14

What is the slope of the linear function that passes through the points (9, -2) and (-4,-6)?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

4/13

Step-by-step explanation:

It is easier if you graph it then count rise over run and divide kiddo

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Name 3 of the 4 features listed below for the function g (x) = log2 (x + 4) - 1 and include a description of how you found those
givi [52]

(1) Vertical asymptote: x=-4

(2) Domain: x>-4

(3) X intercept: (-2,0) and Y intercept : (0,1)

(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.

Explanation:

The parent function is f(x)=\log _{2} x

The transformed function is g(x)=\log _{2}(x+4)-1

(1) Vertical asymptote:

The vertical asymptote of a function can be determined by equating

x+4=0

Thus, x=-4

The vertical asymptote is x=-4

(2) Domain:

The domain of a function is the set of all independent x-values.

x+4>0

Thus, x>-4

The domain of a function is x>-4

(3) X and Y intercepts:

To determine the x intercept, let us substitute y=0 in g(x)=\log _{2}(x+4)-1

\begin{equation}\begin{aligned}\log _{2}(x+4)-1 &=0 \\\log _{2}(x+4) &=1 \\x+4 &=2^{1} \\x &=-2\end{aligned}

Thus, the x intercept is (-2,0)

To determine the y intercept, let us substitute x=0 in g(x)=\log _{2}(x+4)-1

\begin{equation}\begin{aligned}y &=\log _{2}(0+4)-1 \\&=\log _{2} 4-1 \\&=2-1 \\&=1\end{aligned}

Thus, the y intercept is (0,1)

(4) To determine the transformation:

The transformed function g(x)=\log _{2}(x+4)-1 is shifted 4 units to the left and shifted 1 unit downwards.

4 0
3 years ago
What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B14-7x%7D%7B7%7D" id="TexFormula1" title="\frac{14-7x}{7}" alt="\frac{14-7x}{
BartSMP [9]

Answer:

<h2><u><em>2-x</em></u></h2>

Step-by-step explanation:

(14 - 7x)/7 =

[7(2-x)]/7 =

2-x

4 0
2 years ago
564000 in scientific notation
Mkey [24]

Answer:

5.64 × 10^5

Step-by-step explanation:

8 0
3 years ago
I NEED HELP, THIS IS DUE BY TONIGHT
finlep [7]
Well the minutes are 198 still working on the rest
4 0
3 years ago
A trail around a river is 3 1/4 miles long. What is the length, in feet, of the trail?
bezimeni [28]

Answer: 17160 feet

Step-by-step explanation:

We know that 5280 feet = 1 mile

So all we have to do is multiply 3 1/4 by 5280

Let's split the 3 and 1/4 up to make the multiplication easier

3×5280=15840

\frac{1}{4}×5280=\frac{5280}{4} =1320

Now add them together

15840+1320=17160

4 0
2 years ago
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