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3 years ago

What effect does changing the function g(x)=log x to f(x)=log(x-5) -3 have on graph of g(x)?

Mathematics

1 answer:

jarptica [38.1K]3 years ago

6 0

It moves the graph to the right "5" units
And down 3 units

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X=5y 3x=7y+16 substitution method, algebra 1

Korolek [52]

3x=7y+16
15y=7y + 16
15y - 7y = 16
8y = 16
y = 8/16
y = 2
hope this helps you !!! =')

7 0

3 years ago

Step by step how to get 22.04 times 2.8 with work

Bumek [7]

Answer:

61.712

Step-by-step explanation:

Multiply .8x.04

Multiply .8x.0

Multiply .8x2

Than add a zero under the answer of .8x.04

Multiply 2x.04

Multiply 2x.0

Multiply 2x2

Multiply 2x 2

4 0

2 years ago

A bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. If the interest received

marin [14]

Answer: $31000 was loaned at 13%.

Step-by-step explanation:

Let x represent the amount loaned out at 13% interest rate.

Let y represent the amount loaned out at 5% interest rate.

The bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. It means that

x + y = 68000

The interest received made from $x in one year is

13/100 × x = 0.13x

The interest received made from $y in one year is

5/100 × x = 0.05y

If the interest received was $5880, it means that

0.13x + 0.05y = 5880- - - - - - - - - 1

Substituting x = 68000 - y into equation 1, it becomes

0.13(68000 - y) + 0.05y = 5880

8840 - 0.13y + 0.05y = 5880

- 0.13y + 0.05y = 5880 - 8840

- 0.08y = - 2960

y = - 2960/- 0.08

y = 37000

x = 68000 - y = 68000 - 37000

x = $31000

5 0

3 years ago

Help with 11, 12, 13 pls. You get 10 points

Eddi Din [679]

11. m=5 p=15
12. g=3 k=3
13. b=40

7 0

3 years ago

Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi

ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

Angles around a point sum to 360°
1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

$\sf =\dfrac{360}{60} \times 25=150^{\circ}$

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)$

$\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}$

Given:

r = length of minute hand = 14 ft
$\theta$ = 150°

$\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}$

4 0

2 years ago