Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find x, the amount of time it would take for Bethany and Colin to mow the lawn together?

Answers

Answer 1

Answer: The answer to this question is C

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The set of ordered pairs represent a function. Write a rule that represent the function. (0,0), (1,6),(2,24), (3,54),(4,96)

Answers

The required function would be f(x) = 6x² which represents the set of ordered pairs.

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We have been given that function as sets of ordered pairs :

(0,0), (1,6), (2,24), (3,54), (4,96)

First, we must identify a pattern. It appears that all yₓ values are multiples of 6.

We can divide yₓ by 6x since it is a multiple of 6 and a multiple of x:

y₁/ 6×1 = 1

y₂/ 6 ×2 = 2

y₃/ 6 ×3= 3

y₄/6×4 = 4

We can clearly see a pattern here ;

y/ 6×x = x

y = x × x × 6

y = 6x² = f(x)

Therefore, the required function would be f(x) = 6x² which represents the set of ordered pairs.

Learn more about the functions here:

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All y coordinates are divisable by 6. What you then get is the square of x, so the function is:

f(x) = 6x²

Identify the domain and range
with steps please (picture below)

Answers

$D:x-1\geq0\n D:x\geq1\n\n$

$\hbox{ range of } \sqrt {x-1} \hbox{ is } \langle0,\infty)\n \hbox{ range of } -(3)/(4)\sqrt {x-1} \hbox{ is } \langle-(3)/(4)\cdot0,-(3)/(4)\cdot\infty)=(-\infty,0\rangle\n \hbox{ range of } -(3)/(4)\sqrt {x-1}+4 \hbox{ is } (-\infty+4,0+4\rangle=(-\infty,4\rangle\n$

What common side does triangle ABC share with triangle ADC

Answers

Answer:

Step-by-step explanation:

Both ABC and ADC share the same AC side of the triangle.

What annual simple interest rate will increase Jacob Davidson’s initial investment of $5,000 to $6,000 in two years?multiple choice
A)10%

B)5%

C)4%

D)6%

Answers

Answer:

Hence, the annual simple interest rate is:

10%

Step-by-step explanation:

The initial investment(I) of Jacob Davidson=$ 5000.

Time(T)=2 year.

Interest(I') earned by him=His income after investment-His initial investment.

= $ (6000-5000)

= $ 1000.

Now, the rate of interest(R) is given by :

$I'=(I* R* T)/(100)\n\n\n1000=(5000* R* 2)/(100)\n\n1000=100R\n\nR=10\%$

Hence, the annual simple interest rate is:

10%

a its 10 percent because of the amount of money he has in his account

If f(x)= x^2 and g(x)= x-5 what is f(g(x)) ?

Answers

Answer:

(x-5)^2

Step-by-step explanation:

Factor completely x^2 - 4x - 12
Explain the steps.
^ = to the power of

Answers

Well x^2 is the same as x-squared (I don't know how to type it).
So to start off, you have x-squared-4x-12
Then you just have to combine the x's, and 1x-4x=-3x
so your final answer would be -3x-squared-12

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