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Sav [38]
3 years ago
5

PLEASE HELP!!!

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0

Answer:

A) The graph shifts 5 units left and 3 units up.

Step-by-step explanation:

For a function f(x) following transformation rules is applied.

f(x-c)\rightarrow shifts function c units to the right.

f(x+c)\rightarrow shifts function c units to the right.

f(x)+b\rightarrow shifts function c units upward.

f(x)-b\rightarrow shifts function c units down upward.

Given function f(x):

f(x)=\frac{1}{x-4}+3

Function  g(x):

g(x)=\frac{1}{x+1}+6

So, to transform f(x) to g(x) we can make changes as

f(x)=\frac{1}{x-4+(5)}+3+(3)=\frac{1}{x+1}+6=g(x)

Comparing the two function we conclude the following transformation taking place:

g(x)=f(x+5)+3

From the above rule stated, we can make a statement about the transformation as following:

The graph shifts 5 units left and 3 units up.

You might be interested in
PLEASE:
Tju [1.3M]

Answer:

63.59 in²

Step-by-step explanation:

The formula to find the area of a square: a², where a is the side.

The formula to find the area of a circle: πr², where r is the radius (diameter ÷ 2), and the pi is alterable (3.14 or 3.142 or 22/7).

1) Find the diameter of the circle. The side of a square is the diameter.

a²

a = √81

a = 9

2) Plug the values into the formula of the area of a circle. 9 ÷ 2 = 4.5 (radius).

= 3.14 x 4.5²

= 3.14 x 20.25

= 63.585

3) Round off the result to the nearest hundredth.

= 63.59

3 0
2 years ago
If n is a term of the sequence 14, 8, 2, -4, …, which expression would you give the value of n?
Ipatiy [6.2K]

Answer:

-6n+20

Step-by-step explanation:

The given  term of sequece is  14, 8, 2, -4, …,

Here the first term is 14 and then the terms are decreasing by 6 each time  because 14-8=8-2=...=6

As we know that the nth term of the sequence is given by the formula

t_n=a+(n-1)d\\\text{Substitute the values we get}\\t_n=14+(n-1)(-6)\\t_n=14-6n+6\\t_n=20-6n\\

If n is a term of the given sequence sequence, then its value is -6n+20

7 0
3 years ago
Find the value of r so the line that passes through the pair of points has the given slope. (3, 5), (−3, r), m=34
frez [133]

The value (y2) of r = 1/2.

This question relates to equation of a straight line but we are looking for the slope in this case.

<h3>Slope</h3>

This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as

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

Data given;

  • x1  = 3
  • x2 = -3
  • y1 = 5
  • y2 = r
  • m = 34 or 3/4

Substitute the values into the equation and solve for the unknown

NB; we are assuming that the slope here is 34 and not 3/4.

m = \frac{y_2 - y_1}{x_2 - x_1} \\34 = \frac{r - 5}{-3 - 3}\\34 = \frac{r - 5}{-6}\\

cross multiply both sides and make r the subject of formula

34 * -6 = r - 5\\-204 = r - 5\\r = -204+5\\r = -199

the value of r = -199.

This is not mathematically obtainable and we would use 3/4 as the value of slope

\frac{3}{4}= \frac{r - 5}{-3 - 3}\\\frac{3}{4}=\frac{r - 5}{-6}\\4(r-5) = 3 * -6\\4r- 20 = -18\\4r = -18 +20\\4r = 2\\r = \frac{1}{2}

The most logical value of r = 1/2

Learn more on slope here;

brainly.com/question/4074386

7 0
3 years ago
Help I’m on a time limit
Lerok [7]

Answer:

Choice C:  (x-2)^2 + (y-1)^2 = 25

3 0
3 years ago
Joe has $70 in a savings account. The interest rate is 10% per year and is not compounded,
sladkih [1.3K]

Answer:

$28

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 70 × 0.1 × 4 = 28

I = $ 28.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 10% per year

for 4 years is $ 28.00.

8 0
3 years ago
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