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3 years ago

Given the linear equation, 2x +4= 6, find the rate, initial value, and specific value.

Mathematics

1 answer:

kap26 [50]3 years ago

4 0

Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.

Step-by-step explanation:

for a linear function y = a*x + b

Rate = coefficient that is multiplicating the variable. ( a in this case)

Initial value = value taken of y, when we have x = 0 (b in this case)

Specific value = value forced on y.

In this case, we have:

y = 6 = 2*x + 4

Then:

The coefficient multiplicating x is 2, so the rate is 2.

The constant term is 4, so the initial value is 4.

The value equal to y is 6, so the specific value is 6.

The correct option is B.

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arthur wants to buy an item that costs p dollars before tax. using a 6% sales tax rate, write two different expressions that rep

Mkey [24]

For this case we have the following variable:

p: cost of the item that Arthur wants to buy before tax

The expression for the 6% tax is given by:

$\frac{6}{100} p$

Or equivalently:

$0.06p$

Therefore, two different expressions for the total cost are:

Expression 1:

$p + \frac{6}{100} p$

Expression 2:

$p + 0.06p$

To prove that they are equal, suppose that the item costs $ 100:

Expression 1:

$p + \frac{6}{100} p$

$100+ \frac{6}{100} 100$

$100 + 6$

$106$

Expression 2:

$p + 0.06p$

$100 + 0.06 (100)$

$100 + 6$

$106$

Since the cost is the same, then the expressions are the same.

Answer:

Two different expressions that model the problem are:

$p + \frac{6}{100} p$

$p + 0.06p$

8 0

3 years ago

Students sold raffle tickets to raise money for a field trip. The first 20 tickets cost $4 each. To sell more tickets, they lowe

saveliy_v [14]

Answer:

88 Tickets were sold

Step-by-step explanation:

20*$4=$80

$216-$80=$136

$136/2=68

20+68=88 tickets

4 0

3 years ago

Can someone help me with these and show the work also?

Snezhnost [94]

QUESTION:

Simplify each expression

ANSWER:

1.) $\green{{- 8n}}$

2.) $\green{{- 2b - 60}}$

3.) $\green{{- 10x - 14}}$

4.) for number 4 study my step-by-step explanation so you can answer that

STEP-BY-STEP EXPLANATION:

1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1

WHY?

Learn why:

Why is it considered that the coefficient is 1?

Remember that any term multiplied by $\blue{{1}}$ remains the same :

$\blue{{1}}$ ${× x = x}$

Step 1:

The equality can be read in the other way as a well, so any term can be written as a product of $\blue{{1}}$ and itself:

${x = }$ $\blue{{1}}$ ${× x}$

Step 2:

Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:

${x = 1x}$

This is why we can write the term without the coefficient as a term with coefficient ${1}$

Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1

${n - 9n}$

$\red{{1}}$ ${n -9n}$

Second, Collect like terms by subtracting their coefficients

$\red{{1n - 9n}}$

$\red{{( 1 - 9)n}}$

Third, Calculate the difference

how?

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger

$\red{{1 - 9}}$

$\red{{- (9 - 1)}}$

Subtract the numbers

- ( $\red{{9 - 1}}$ )n

- $\red{{8}}$ n

$\green{\boxed{- 8n}}$

2.) First, Distribute - 6 through the parentheses

how?

Multiply each term in the parentheses by - 6

$\red{{- 6(b + 10)}}$

$\red{{- 6b - 6 × 10}}$

Multiply the numbers

- ${6b}$ - $\red{{6 × 10}}$

- ${6b}$ - $\red{{60}}$

Second, Collect like term

how?

Collect like terms by calculating the sum or difference of their coefficient

$\red{{- 6b + 4b}}$

$\red{{(- 6 + 4)b}}$

Calculate the sum

$\red{{(- 6 + 4)}}$ b

$\red{{-2}}$ b

$\green{\boxed{- 2b - 60}}$

3.) First, Distribute 2 through parentheses

how?

Multiply each term in the parentheses by 2

$\red{{2(x - 5)}}$

$\red{{2x - 2 × 5}}$

Multiply the numbers

${2x -}$ $\red{{2 × 5}}$

${2x -}$ $\red{{10}}$

Second, Distribute - 4 through the parentheses

how?

Multiply each term in the parentheses by - 4

$\red{{- 4(3x + 1)}}$

$\red{{- 4 × 3x - 4}}$

Calculate the product

- $\red{{4 × 3}}$ x - 4

- $\red{{12}}$ x - 4

Third, Collect like terms

how?

Collect like terms by subtracting their coefficient

$\red{{2x - 12x}}$

$\red{{(2 - 12)x}}$

Calculate the difference

$\red{{(2 - 12)}}$ x

$\red{{- 10}}$ x

Fourth, Calculate the difference

how?

Factor out the negative sign from the expression

$\red{{- 10 - 4}}$

$\red{{- (10 + 4)}}$

Add the numbers

- ( $\red{{10 + 4}}$ )

- $\red{{14}}$

$\green{\boxed{- 10x - 14}}$

That's all I know sorry but I hope it helps :)

6 0

2 years ago

Given a pre-image and an image, explain how you could use transformation to show they are congruent?

JulsSmile [24]

Given a pre-image, you could use any single reflection, rotation, or translation, or combination of these transformations to re-position the pre-image on top of the image to confirm congruence. You would be able to visually see corresponding side lengths and corresponding angles measures are the same.

8 0

3 years ago

Read 2 more answers

A password contains six digits, such as 174668. How many different passwords can be formed

STALIN [3.7K]

Answer: The number of different passwords can be formed = 1,000,000

Step-by-step explanation:

In general total digits = 10 [ from 0 to 9]

If a password contains 6 digits, then by fundamental principal of counting, the total number of different passwords = $10\times10 \times10\times10\times10\times10=10^6=1000000$

Hence, the number of different passwords can be formed = 1,000,000

5 0

3 years ago