MATHEMATICS COLLEGE

The model represents an equation. What value of X makes the equation true?Answers are: -15
-3
15
3
Please help.

Answers

Answer 1

Answer:

D. 3

Step-by-step explanation:

Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

3x + 6

On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

$3x + 6 = 2x + 9$

Solve for x

$3x + 6 - 2x = 2x + 9 - 2x$ (Subtracting 2x from both sides of the equation)

$x + 6 = 9$

$x + 6 - 6 = 9 - 6$ (subtracting 6 from both sides of the equation)

$x = 3$

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Five thirds divided by seven thirds can be solved using which of the following

Answers

Answer: 5/7

Step-by-step explanation: 5x3 = 15 and 3x7=21 , if u simplify it equals to 0.7143 and that is 5/7

At which value in the domain does f(x) = 0?
X=-3
X=0
X=1
X=4

Answers

at -3 because you if f(0) that means the x is 0, but if f(x) =0 then for what x value does it the y = 0
so where does the line cross the y axis
at x=-3

Malory isn’t putting money in two savings accounts.Account A started with $150 and Account B started with $300.Malory deposits $16 in Account A and $12 in Account B each month.In how many months will Account A have a balance at least as great as Account B?What will that balance be?

Answers

Given:

There are two savings accounts - account A has $150 and account B has $300 to begin with.
Malorie deposits $16 in account A and $12 in account B every month.

To Find:

The number of months where the balance of both is equal and the balance itself.

Solution:

In 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to $750 in both account A and B.

Calculation:

Let x be the number of months where both the accounts have equal balance.

So, at the end of x months, 16x is the amount of money that will be added to account A (since $16 is added every month).

And the total amount at the end of x months will therefore be $(150+16x)

Similarly, at the end of x months, 12x is the amount of money that will be added to account B (since $12 will be added every month).

And the total amount at the end of x months will therefore be $(300+12x)

By our assumption, x is the number of months it will take for both the accont balances will be equal. Therefore, we have the equation

$150+16x=300+12x\n4x=150\nx=37.5$

Therefore, in 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to $150+16(37.5)=750$ i.e. $750 will be the balance in both account A and B.

Which conclusion can be drawn from the data?Question 9 options:

For ten weeks, City A received less rainfall, on average, than City B.

The range between the maximum and minimum values for City B is greater than the range between maximum and minimum values for City A.

During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.

The median for City A is less than the median for City B.

Answers

Answer:

During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.

Step-by-step explanation:

Given the data :

City A :

Reordered data:

0, 0.2, 0.2, 0.3, 0.4, 1, 1.3, 1.5, 2.5, 3

City B :

Reordered data:

0, 0, 0.1, 0.1, 0.2, 0.3, 0.4, 1, 1, 1

Using a calculator :

Mean Rainfall for City A = 1.04

Mean rainfall for city B = 0.41

Range : maximum - minimum

City A = 3 - 0 = 3

City B = 1 - 0 = 1

Mode (most occurring) :

City A = 0.2

City B = 1

Median :

City A = 0.7

City B = 0.25

The only true conclusion in the options given that can be drawn from the data is that ;During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.

Answer:

the Answer is C.

Step-by-step explanation:

I just took the test

[Calc1] Help with 2 questions?

(B) What is the least squares regression line

(C) According to the model in (b), for every increase of $1000 in income, the ulcer rate (per 100 population) will go down by _________ points.

Answers

Answer:

B) y = -9.98×10⁻⁵ x + 13.95

C) 0.1

Step-by-step explanation:

Using Excel, the least squares regression line, rounded to two decimal places, is y = -9.98×10⁻⁵ x + 13.95.

The slope is -9.98×10⁻⁵, so if x increases by 1000, then y changes by -9.98×10⁻² = -0.0998. Rounded to one decimal place, the ulcer rate per 100 population will go down by 0.1 points.

Which of the following is the correct factorization of the polynomial below? 8x3 + 64y3 A. (4x + 4y) (2x+8y) B. (2x + 4y)(4x2 - 8xy + 16y2) C. (4x + 2y)(4x2 - 2xy + 16y?) D. The polynomial is irreducible.