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3 years ago

Which is 2logx - 6 log(x-9) written as a single logarithm.

Mathematics

2 answers:

Anton [14]3 years ago

5 0

Answer: option c

Step-by-step explanation:

To solve this problem you must keep on mind the properties of logarithms:

$log(b)-log(a)=log(\frac{b}{a})\\\\log(b)+log(a)=log(ba)\\\\a*log(b)=log(b)^a$

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

$2logx-6log(x-9)\\logx^2-log(x-9)^6\\\\log\frac{x^2}{(x-9)^6}$

Varvara68 [4.7K]3 years ago

5 0

Answer:

c edge

Step-by-step explanation:

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Can somebody help me please !?

r-ruslan [8.4K]

Answer:

option 4) x = 14 y = 7

Step-by-step explanation:

We are given a side angle and a side length so we can use trigonometry to find the solution

To find x we can use sine because the given side length is opposite to the angle so,

sin(60) = $\frac{7\sqrt{3} }{x}$

solve for x and you get 14 (make sure you check that your calculator is in degrees)

for either use Pythagorean theorem or remove sine by tangent.

4 0

3 years ago

CORRECT ANSWERS ONLY

guapka [62]

Answer: Mika has not described a proportional relationship. Although it is a linear function, it does not pass through the origin.

Step-by-step explanation: if you place those points on a graph, they do create a linear function; the line just doesn't pass through the origin.

5 0

3 years ago

Read 2 more answers

Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.

Arturiano [62]

Answer:

A. When Rita started, she had 7 packages of saplings.

B. If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of packages Rita started = x

Number of saplings per package = 5

Number of saplings planted by Rita = 15

Number of saplings left = 20

2. How many packages of saplings did she start with?

Number of packages Rita started = (Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

Replacing with the real values:

x = (15 + 20)/5

x = 35/5 = 7

When Rita started, she had 7 packages of saplings.

3. What would the solution look like on a number line graph?

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

5 0

3 years ago

Thomas drove 230 miles in 4 hours. What is the ratio of miles to hour in lowest terms? 230-4 4.230 115:2 2:115 2

alexgriva [62]

Answer:

the ratio is

miles/hour

= 230/4

= 115/2

so the ratio is 115:2

6 0

2 years ago

The prism has a surface area of 1312 mm2.

777dan777 [17]

So each dimention is 32 by 8 by 10
so the surface area=2 times(8 times 10)+(2 times (32 times 10))+(2 times (8 times 32))=2 times 80+2 times 320+2 times 256=1312

if halved
just divide each by 2
(2 times 4 times 5)+(2 times 16 times 5)+(2 times 4 times 16)=(2 times 20)+(2 times 80)+(2 times 64)=40+160+128=328
the new surface area is 328 mm^2

4 0

3 years ago