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4 years ago

What is the solution to log5(10x-1)=log5(9x=7)

1 answer:

4 0

$Domain:\\\\10x-1 > 0\ and\ 9x+7 > 0\\\\10x > 1\ and\ 9x > -7\\\\x > \dfrac{1}{10}\ and\ x > -\dfrac{7}{9}\Rightarrow x > \dfrac{1}{10}\\\\D=\left\{x|x > \dfrac{1}{10}\right\}\\\\\log_5(10x-1)=\log_5(9x+7)\iff10x-1=9x+7\qquad\text{add 1 to both sides}\\\\10x=9x+8\qquad\text{subtract 9x from both sides}\\\\x=8\in D\\\\Answer:\ \boxed{x=8}$

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Art [367]

Answer:

x=-2

Step-by-step explanation:

1/2(2-6x)-4(x+3/2)=-(x-3)+4

(1-3x)-4x-6=-x+3+4

-7x-5=-x+7

Tranpose

-7x+x=5+7

-6x=12

Divide by -6

x=-2

4 0

3 years ago

A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90 degrees. What is the length of the intercepted

Julli [10]

Since there are $360^{\circ}$ in a circle, and central $\angle AOB = 90^{\circ}$ , you can see that the part "sliced out" by the central angle is $\frac{90^{\circ}}{360^{\circ}} = \frac{1}{4}$ of the whole circle.

This means that the length of the intercepted arc $\stackrel{\frown}{AB}$ is $\frac{1}{4}$ of the circumference of the circle. So,

$\stackrel{\frown}{AB} = \frac{1}{4}(2 \pi r) = \frac{1}{4}(2 \pi (7.5 cm)) = \bf \frac{15 \pi}{4} cm$

6 0

3 years ago

Convert 7/16 to a percent

finlep [7]

Answer:

43.75%

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Pls help i give u brainliest amd 5 stars

MAVERICK [17]

Answer:

160

Step-by-step explanation:

60-24=36 left

24 x 8 = 192

36/2=18

9 x 12 =108

108+192=300

300-140= 160 euros profit

7 0

3 years ago

Which equation shows y=−1/2x+4 is in standard form?

adelina 88 [10]

Answer:

B. x + 2y = 8 is your answer.

Step-by-step explanation:

So this is what you do:

y = -1/2x + 4 <u>You are going to add -1/2 to the other side.</u>

y + 1/2x = 4 <u>You are going to multiply the equation by 2.\</u>

B. x + 2y = 8 is your answer.

8 0

4 years ago