-3/10q - 8/5q + 9 = 10

Solve for q

Answer:

B

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log (xy)

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

Given

[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then

[tex]log_{4}[/tex] x(x + 3) = 1

x(x + 3) = [tex]4^{1}[/tex] = 4

x² + 3x = 4 ( subtract 4 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

However, x > 0 , thus x = 1

Answer:

WHEN X =5 LHS = 32*3 => 96 IS EQUAL TO RHS. therefore five years ago their product of ages is equal to 96.

hope this helps!

Answer:

g = -3

Step-by-step explanation:

-2 (4g - 3) = 30

-8g + 6 = 30

-8g = 24

g = -3

Answer:

[tex] \boxed{g = -3} [/tex]

Step-by-step explanation:

[First, distribute the factored term on the left side of the equation (distribution property of equality)]

-2 ( 4g – 3 ) = 30 →

-2 ( 4g ) – -2 ( 3 ) = 30 →

-8g + 6 = 30 →

[Next, subtract 6 from both sides (subtraction property of equality)]

-8g + 6 – 6 = 30 – 6 →

-8g = 24 →

[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]

-8g / -8 = 24 / -8 →

g = -3

31.069 miles per hour

Answer:

It is 9000 cents or $90 total for 5 hours

Step-by-step explanation:

Hello there!

Law of Exponent

[tex] \displaystyle \large{ {a}^{ \frac{m}{n}} = \sqrt[n]{ {a}^{m} } }[/tex]

The first problem asks us to write the cube root of 17 in exponential form. Refer the exponent's law above.

[tex] \displaystyle \large{ \sqrt[3]{17} = \sqrt[n]{ {a}^{m} } }[/tex]

Compare the terms.

Hence,

[tex] \displaystyle \large{ \sqrt[3]{17} = {17}^{ \frac{1}{3} } }[/tex]

The second problem asks us to write 13^{1/2} in radical form. Refer the law above.

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = {a}^{ \frac{m}{n} } }[/tex]

Compare the terms.

Hence,

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = \sqrt{13} }[/tex]

Conclusion

Let me know if you have any questions!

Topic: Exponent / Fractional Exponent and n-th root /

Answer:

hope this helps you

have a great day

Answer:

Here is your answer . Hope this helps.

Step-by-step explanation:

the answer is 6

please mark me brainliest

Answer:

[tex] \frac{6q}{q} \\ \frac{6 \times q}{q} \\ when \: q \: is \: divided \: by \: q \: then \: the \: remainder \: is \: 1 \\ 6 \times 1 \\ 6[/tex]

Step-by-step explanation:

Elisa made the greater number of withdrawals, because she made 9 withdrawals, while Frances only made 6 withdraws.

90 degrees

pls give me brainliest

Answer:

2160 - t

Step-by-step explanation:

1800(1.2)-t

2160 - t

Answer:

(x - 4)³

Step-by-step explanation:

"The cube of x" would be x³.  The difference of a number and 4 would be x - 4.

Therefore, "the cube of the difference of a number and 4" would be

(x - 4)³

Answer:

Assuming this is the full problem.

3x^2-8x+4

Step-by-step explanation:

1. ∠A and ∠B are complementary

2. ∠A + ∠B = 90° and ∠B + ∠C = 90°

3. ∠A = 90° - ∠B

4. ∠C = 90° - ∠B

5. ∠A ≅ ∠C

Based on the information given, the value of x is 28 which means that Rovers scored 28 goals.

Number of goals scored by Rovers = x

United scored 8 goals more than rovers. This will be = x + 8

City scored 3 goals less than twice the number of goals scored by rovers. This will be: = 2[x} - 3 = 2x - 3

Since the three teams scored a total of 117 goals, this will be:

x + x + 8 + 2x - 3 = 117

Collect like terms

4x = 117 - 8 + 3

4x = 112

x = 112/4

x = 28

The value of x is 28

Read related link on:

https://brainly.com/question/24424070

Answer:13 over 30

13/30 or 0.433

Step-by-step explanation:

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

Therefore, the equation is y = -9x + 6.

Answer:

Answer:

x² + 10x - 24

Step-by-step explanation:

Given the roots are x = - 12 and x = 2 then the corresponding factors are

(x + 12) and (x - 2) and their product equals zero , that is

(x + 12)(x - 2) = 0 ← expand using FOIL

X² + 10X - 24 = 0

Answer:

y = -4x +7

Step-by-step explanation:

First, we need to find the slope of the first equation

8x + 2y = 4

Subtract both sides by 8x

8x + 2y = 4

-8x         -8x

2y = -8x + 4

Then divide both sides by 2 to isolate the variable, y

2y/2 = (-8x + 4)/2

y = -4x + 4

This means the slope is -4, so our other equation will need to have the slope of -4 to be parallel

y = -4x + ?

Wait, the equation also needs to be a line where it goes through (0,7)

Luckily, that just seems to be the y-intercept, so our work is cut out for us.

Here is our equation

y = -4x + 7

You can plug in the numbers to check

7 = -4(0) +7

7 = 0 + 7

7 = 7

Answer:

y = 3 for 0 <= x < 4

y = 5 for 4 <= x < 8

y = 7 for 8 <= x < 12

y = 9 for 12 <= x < 16

y = 11 for 16 <= x < 20

x represents the number of years of employment.

for example, when x = 4, the employee has been there a full 4 years and is entitled to an additional 2 dollars wage to make the total wage equal to 3 + 2 = 5.

your graph stops at x = 16 because that's the number of years being considered.

at x = 16, the wage will be 11 dollars.

the closed circle indicates the value of y is valid at that value of x.

an open circle indicates the value of y is not valid at that value of x.

for example, when x = 4, y = 3 is not valid anymore, but y = 5 is.

on the 16th year of employment, the employee is entitled to an additional 2 dollars wage and starts earning at a wage of 11 dollars.

at employment (x = 0), the employee starts earning a wage of 3 dollars.

at 4 years (x = 4), the employee starts earning a wage of 5 dollars.

at 8 years (x = 8), the employee starts earning a wage of 7 dollars.

at 12 years (x = 12), the employee starts earning a wage of 9 dollars.

at 16 years (x = 16), the employee starts earning a wage of 11 dollars.

x represents a full year of employment.

y represents the wage the employee is entitled to earn.

Answer:

There are 600 students in this school.

Step-by-step explanation:

Let p represent the total population of the school.

Then (1/3)p represents the number of students who like math.  Subtracting this (1/3)p from p gives an expression representing those who do not like math:  

p - (1/3)p = (2/3)p

400 students do not like math, so (2/3)p = 400.

Solve this for p by multiplying both sides by (3/2):

(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.

There are 600 students in this school.

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?

Answer:

5130

Step-by-step explanation:

You just multiply 513 by 10 to get 5130.

You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (6, 3 ) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line