Graph: y – 3 = } (x + 2)

The equation which shows the true solution to the given logarithmic equation is,

[tex]x=1[/tex]

The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.

For example,

[tex]n\log_b(M)=\log_b(M)^n[/tex]

Given information-

The logarithmic equation given in the problem is,

[tex]3\log_2(2x)=3[/tex]

Using the power rule of the logarithmic function,

[tex]\log_2(2x)^3=3[/tex]

Using the exponent rule of the logarithmic function the above equation can be written as,

[tex](2x)^3=3[/tex]

Solve it further,

[tex]8x^3=3\\x^3=1\\x=1[/tex]

Hence, the equation which shows the true solution to the given logarithmic equation is,

[tex]x=1[/tex]

Learn more about the rules of logarithmic function here;

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Answer:

its B on edge

Step-by-step explanation:

Answer:

5=4x+13

4x+13=5

4x=5-13

4x= -8

x = -8÷4

x = -2

# be careful£

Answer:

So the answer is that 5 3/10 as a decimal is 5.3. 9/10 as a decimal is expressed as 0.9.

Step-by-step explanation:

To convert any fraction to its decimal form, we just need to divide the numerator by the denominator.

In this case, we divide 9 by 10, 9 ÷ 10 = 0.9

You can also verify your answer using Cuemath's Fraction to Decimal Calculator.


Hope this helps!

Answer:

42 miles

Step-by-step explanation:

32% is the same thing as 0.35

Think of the word "of" as multiplication.

Therefore, 0.35 of 120 miles is 0.35×120

This equals 42 miles.

Answer:

22 1/2 degrees

Step-by-step explanation:

4 x 5 = 20

(1/2) x 5 = 2.5

Answer: 22.5 degrees

Step-by-step explanation:

If it fell 4.5 degrees each hour, and there were 5 hours, 4.5x5 == 22.5

Step-by-step explanation:

sum of all angles = 360

7x-4 = 360

7x= 364

x = 52

angle j = 150

angle k = 62

angle m = 100

Answer:

  €0.78

Step-by-step explanation:

To find Euros per Dollar, divide euros by dollars:

  €175/$225 = 7/9 €/$ ≈ 0.78 €/$

Kareem received about €0.78 for each dollar exchanged.

Answer:

32 : 8

8 : 2

4 : 1

Step-by-step explanation:

32 : 8

8 : 2 (32/4 = 8, 8/4 = 2)

4 : 1 (32/8 = 4, 8/8 = 1)

Hope this helps!

Step-by-step explanation:

sorry to break it to you but there is no question

Answer: 0

Step-by-step explanation:

By substituting the f(x) = -x and g(x) = x into the first equation, we get -x = x so the only answer to the question is 0

Answer:

72.5m/hr

Step-by-step explanation:

Divide 870 by 12 to represent how many miles David drove in 1 hour.

[tex]870 \div 12=72.5[/tex]

David drove 72.5 miles per hour.

The expression -8 less than a number is no more than 12 will be given as x - 8 ≤ 12

Let the unknown values be "x"

a) The sum of a number and 12 is expressed as x + 12

If the result is at most -8, the required inequality will be x + 12 ≤ 8

c) If a number is increased by -8, the result will be x - 8. the expression -8 is greater than 12 will be given as x - 8 > 12 greater than 12.

b) If a number is increased by -8, the result will be x - 8. The expression -8 less than a number is no more than 12 will be given as x - 8 ≤ 12

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

1,183.5

Step-by-step explanation:

When dividing 2,367 by 2, the quotient is 1,183 with a remainder of 1 by performing long division by starting with the leftmost digit of the dividend.

To divide a number by another number and find the quotient and remainder, follow these steps:

Step 1: Divide the first number (dividend) by the second number (divisor). In this case, divide 2,367 by 2.

Step 2: Perform long division by starting with the leftmost digit of the dividend. Divide the digit by the divisor and write the quotient above the division bar.

Step 3: Multiply the quotient by the divisor and subtract the result from the current partial dividend.

Step 4: Bring down the next digit of the dividend and continue the division process until all digits have been used.

Step 5: The final quotient is the whole number obtained from the division, and the remainder is the remaining digit.

In the case of 2,367 divided by 2, the long division process would yield a quotient of 1,183 and a remainder of 1.

Therefore, 2,367 divided by 2 gives a quotient of 1,183 with a remainder of 1.

Learn more about long division here:

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#SPJ6

Step-by-step explanation:

equal because of the 8+7

Answer:

x \geq -6

Step-by-step explanation:

2x+4 \geq -8

    -4       -4

2x \geq -12

/2        /2

x \geq -6

Answer:

Step-by-step explanation:

According to the question, the correct graph is D.

It's not A because, the ball is thrown after some pause and the ball doesn't roll on the roof, falls immediately.

It's not B or C because the ball goes up after reaching the roof but should fall down.

Answer/Step-by-step explanation:

5/8 is not close to 1 in this context. If you want to be accurate, don't estimate. Add the 2 numbers.

Brainliest?!

Answer:

Step-by-step explanation:

We need to find the slope first, and we'll use the formula rise/run.

6 - -9/ -3 - 5 =  15/-8.

Our slope is -15/8.

Now, we need to find the y-intercept, which is b.

y = mx+b.

m is the slope, so y=-15/8x+b

Now, let's replace x  with 5 from that point and replace y with -9 from that same point.

-9 = -(15/8)(5) + b

-72/8 = -75/8 + 3/8

So, the equation is y= -15/8x + 3/8

Answer:

A =50,35925926

=50,36

B=3,066645963

=3,07

C=16,69411765

=16,7

Hope this is what u looking for,

I will send a pic give me a minute

Answer:

300 + 7 + 0.04 + 0.008 = 307.048

Step-by-step explanation:

Answer:

exact value is 264π and decimal to the thousandths is 829.381m²

Step-by-step explanation:

It gives you the formula.

(pi times 8 times 25) + (pi times 8 squared)

Answer:

A≈829.38

A= pi x 8 x 25 + (pi x 8^2)

A= 200pi + 64 pi

A= 264pi

Answer is 264

Hope this helps!

Answer:

B. f(x) = 15/2x - 20

Step-by-step explanation:

Hi there!

All of the given functions are organized in slope-intercept form:

[tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept. The y-intercept is also the value of y where the line crosses the y-axis.

Notice how in the graph, the line crosses the y-axis at y = -20. This means that the y-intercept (b) is -20.

[tex]y=mx-20[/tex]

We know now that the answer is either B or D.

In the graph, the line crosses the point (4,10). Let's find f(4) of both the functions given in B and D and see which answer is equal to 10.

Function B:

[tex]f(x) = \displaystyle\frac{15}{2}x - 20\\\\f(4) = \displaystyle\frac{15}{2}(4) - 20\\\\f(4) = 30 - 20\\\\f(4) = 10[/tex]

Therefore, because f(4) is equal to 10 for function B, B is therefore the correct answer.

I hope this helps!

Answer:

C

Step-by-step explanation:

(-4, 3) 3 units right = +3x = -1

(-1, 3) 2 units up = +2y = 5

(1, 5) A rotation of 90° counterclockwise around the origin can be described in mathematical terms as (x, y) → (−y, x).

(1, 5) → (-5, 1), or C

Answer:

B. (-5, -1)

Step-by-step explanation:

Since we're solving for A :

A (-4, 3) translated 3 units to the right and 2 units up would be A (-4 + 3, 3 + 2), which is A' (-1, 5). Then, we have to rotate it 90 degrees clockwise. This would be (-5, -1), as the formula states (x, y) -> (-y, x), which means the x stays the same but goes to the 'y' position, and the y sign changes and goes to the 'x' position.

So, it would be (-5, -1) :)

Answer:

Step-by-step explanation:

The exact value for the expression √52 – √13 + √117 given in the question above is 4√13

a√b + c√b = (a + c)√b

With the above information in mind, we can simplify the express given in the question above.

√52 – √13 + √117

Recall

√52 = √(4 × 13) = 2√13

√117 = √(9 × 13) = 3√13

Thus

√52 – √13 + √117 = 2√13 – √13 + 3√13

√52 – √13 + √117 = (2 – 1 + 3)√13

√52 – √13 + √117 = 4√13

Learn more about surd:

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Answer:

0.38095238095238

Step-by-step explanation:

Therefore, this equation is true: 24/63 = 8/21 If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction.

Answer:

Use the following formula:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Step-by-step explanation:

Use "change in y over change in x"

-> See attached for more

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

The equations are

[tex]\\ \tt\hookrightarrow y=0.50x+75[/tex]

[tex]\\ \tt\hookrightarrow y=0.55x+69.10[/tex]

Now

[tex]\\ \tt\hookrightarrow 0.55x+69.10=0.50x+75[/tex]

[tex]\\ \tt\hookrightarrow 0.55x-0.50x=75-69.1[/tex]

[tex]\\ \tt\hookrightarrow 0.05x=5.9[/tex]

[tex]\\ \tt\hookrightarrow x=5.9/0.05[/tex]

[tex]\\ \tt\hookrightarrow x=118mi[/tex]

Answer:

(6, 2)

Step-by-step explanation:

3(6) - 2 = 16

6 - 5(2) = -4

1 is the answer

Step-by-step explanation:

Number of possible outcomes = 10

Total number of outcome = 10

Probability = [tex] \frac{Number \: of \: possible \: outcomes}{Total \: number \: of \: outcome}[/tex]

[tex] = > \frac{10}{10}[/tex]

[tex] = > 1[/tex]

Hence, the probability of finding number less than or equal to 10 is [tex]1[/tex]

Answer: it's 31.3 percent.

Step-by-step explanation:

55 feet of 80 is 68 percent, to find the remainder you need to subtract 68 by 100, and with that, you get 31.3 percent.

if you want that in feet it's about 25 feet

Answer:

a.  median 1.5

Step-by-step explanation:

If you sort the numbers from least to greatest, the middle numbers are 1 and 2, so the median is the middle of those, 1.5. And the mean is 2.75, so it can't be the others.