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3 years ago

Find an equation of the line through (2,7) and parallel to y=3x-6 Y=

Mathematics

1 answer:

Sliva [168]3 years ago

6 0

As we know the formula to calculate the line of equation is y - y1 = m (x - x1)

Where m is the slope. y1 is the first y co ordinate. x1 is the first x co ordinate.

Now we do know that the slope of parallel line is the same as the slope of the original line.

So parallel line slope is 3 so slope for our line is 3. Hence equation is y - 7 = 3 (x - 2) which becomes y = 3x + 1.

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Enrico deposited $2000, in a savings account. Each month he will deposit an additional $25. Which kind of function best models t

AfilCa [17]

Answer:

Linear model

The function f(x) which represents the total amount in the savings account in x months is given by: f(x)=25x+2000

Step-by-step explanation:

Given:

Enrico deposited $2000 in a savings account.

Each month he will deposit additional $25.

This shows that the rate at which the amount is increasing each month is constant.

Therefore, the model will be linear with a slope 25.

So , if x represents the number of months.

and f(x) represents the corresponding amount in the account.

Then the function f(x) is given by: f(x)=25x+2000

3 0

2 years ago

Simplify the expression state any excluded values 2a^2-4a+2 --------------- 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

8 0

3 years ago

To make 1 1/2 dozen muffins, a recipe uses 3 1/2 cups of flour. How many cups of flour are needed for every dozen muffins made?

ch4aika [34]

Ratio and proportion

convert to inproper fracton first

1 and 1/2=1+1/2=2/2+1/2=3/2

3 and 1/2=3+1/2=6/2+1/2=7/2

3/2dozen=7/2cups
times 2 both sides
3dozen=7cups
divide by 3 both sides
1dozen=7/3cups=2 and 1/3 cup

5 0

3 years ago

Read 2 more answers

In 2013 the Los Angeles Dodgers opening

kogti [31]

Answer: 1.92 x 10^8

Step-by-step explanation:

3 0

3 years ago

12.3+9.75=? 10,258÷46=? Show your work

wariber [46]

Answer:

12.3 + 9.75 =22.05 10,258 ÷ 46 =

Step-by-step explanation:

for 10, 258 ÷ 46 i decide to type it

10258 46 = 223

223 = 2230 to the nearest tenth

223 = 223 to the nearest hundredth

223 = 223 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

10258 divide by half plus 20

Homework answers: (10258/2) + 20 = 5149

10258 divide by half plus 40

Homework answers: (10258/2) + 40 = 5169

10258/46 divided by 2

Answer: (10258/46) ÷ 2 = 111.5

8 0

3 years ago