What is the missing term? Please help me
What is the missing term? Please help me - 1

Answers

Answer 1
Answer:

Answer:

6x

Step-by-step explanation:

2x*3x=6x


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What is f ( 1/3)? When the function is f(x) =-3x+7

Answers

Answer:

f(1/3) = 6

Step-by-step explanation:

f(x) =-3x+7

Let x = 1/3

f(1/3) =-3*1/3+7

        = -1 +7

       = 6

Answer:

f(1/3) = 6

Step-by-step explanation:

The function is:

● f(x) = -3x+7

Replace x by 1/3 to khow the value of f(1/3)

● f(1/3) = -3×(1/3) +7 = -1 +7 = 6

Use algebra to solve 3x+4 = 1/x
The exact solutions are x=
Х

Answers

Answer:

Ignore the A before the ±, it wouldn't let me type it correctly.

x=(2±√(7)  )/(3)

Step-by-step explanation:

3x + 4 = 1 ÷ x

3x + 4 - 4 = 1 ÷ x - 4

3x = 1 ÷ x - 4

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

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

3x=(1-4x)/(x)

x(3x)=x((1-4x)/(x))

x · 3x = - 4x + 1

3x² = - 4x + 1

3x² - (- 4x + 1) = 0

3x² + 4x - 1 = 0

Ignore the A before the ±, it wouldn't let me type it correctly.

x=\frac{-b±\sqrt{b^(2)-4ac } }{2a}

a = 3

b = 4

c = - 1

x=\frac{-4±\sqrt{4^(2)-4((3)(-1)) } }{2(3)}

x=(-4±√(16-4((3)(-1)) ) )/(2(3))

x=(-4±√(16+12 ) )/(2(3))

x=(-4±√(28 ) )/(2(3))

x=(-4±√((2)(14) ) )/(2(3))

x=(-4±√((2)(2)(7) ) )/(2(3))

x=(-4±√(2 ) √(2)√(7)  )/(2(3))

x=(-4±2√(7)  )/(2(3))

x=(-4±2√(7)  )/(6)

Two separate equations

x=(-4+2√(7)  )/(6)

x=(2+√(7)  )/(3)

x=(-4-2√(7)  )/(6)

x=(2-√(7)  )/(3)

An island has a popularity of 1500 and is growing at a rate of 3% per year. what will the popularity be after 6 years?Ans:1791​

Answers

Step-by-step explanation:

Growth in population each year = 3%(1500)

= 3/100 × 1500

= 3 × 15

= 45

Therefore, the growth in population in 6 years

= 6 × 3%(1500)

= 6 × 45

= 270

Hence, the population after 6 years = 1500 + 270

= 1770

The heights, in centimeters, of five students in a school’s class team are: 165, 175, 176, 159, and 170. What is the mean of the heights of the five students?

Answers

Answer:

169 cm

Step-by-step explanation:

Mean is the average of a group of numbers. You calculate it by adding all your numbers and dividing by how many numbers you have. In this question you would solve with these steps...

Add all of your numbers

165 + 175 + 176 + 159 + 170 = 845

Divide your solution by the number of numbers you have

845 / 5 = 169

The mean of the heights of the five students is 169cm.

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Connor works in a department store selling clothing. He makes a guaranteed salary of $300 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would Connor make in a week in which he made $2175 in sales? How much would Connor make in a week if he made xx dollars in sales?

Answers

Answer:

If Connor makes x dollars in sales, he will make 0.05x + 300 that week.

He makes $408.75 in a week if he makes $2175 in sales.

Step-by-step explanation:

y = 0.05x + 300

y = 0.05(2175) + 300

y = 408.75

A company is considering a new manufacturing process. It knows that the rate of savings (in dollars per year) from the process will be about S(t) = 5000(t + 3), where t is the number of years the process has been in use. Find the total savings during the first year. Find the total savings during the first 5 years. The total savings during the first year is __________

Answers

Answer:

Total saving during first 5 years=$137500

Total saving during first year=$17500

Step-by-step explanation:

We are given that

Savings rate

S(t)=5000(t+3)

Total saving during first 5 years is given by

=\int_(0)^(5)5000(t+3)dt=5000[(t^2)/(2)+3t)]^(5)_(0)

Total saving during first 5 years=5000((25)/(2)+3(5))=$137500

Total saving during first year=\int_(0)^(1)5000(t+3)dt

Total saving during first year=5000[((t^2)/(2)+3t)]^(1)_(0)

Total saving during first year=5000((1)/(2)+3)=$17500