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3 years ago

Write the point slope equation of the line through (7,-2) with slope of 1/2.

Mathematics

1 answer:

ahrayia [7]3 years ago

4 0

Answer:

y = 0.5x - 5.5

Step-by-step explanation:

slope = 0.5, so this is the x coefficient.

y intercept = -2 - (7 x 0.5) = -5.5

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ITS URGENT PLEASE HELP!!! I will give brainliest if correct! Someone please help?

QveST [7]

Answer:

D, E, C, A, and B.

Step-by-step explanation:

We wish to solve the equation:

$2(x-3)+7-3x=11$

Let’s go through this step-by-step.

1) Distributive Property:

$2x-6+7-3x=11$

2) Commutative Property of Addition (we rearrange them):

$2x-3x-6+7=11$

3) Combined Like Terms:

$-x+1=11$

4) Addition Property of Equality* (we add -1 to both sides):

$-x=10$

5) Multiplication Property of Equality (we multiply both sides by -1):

$x=-10$

So, our sequence is:

D, E, C, A, and B.

*A better choice would’ve been the Subtraction Property of Equality, but both are equally fine.

5 0

3 years ago

Gael uses 5 centimeters of string to hang each decoration of gale hangs 2 decorations , how much string does he use

jasenka [17]

Answer:

10 centimeter

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. R

igomit [66]

If there were 10 strawberry cupcakes then chocolate would have the same number as 10= 1/2. Then 2/4 can be simplified to 1/2 meaning that Rick are 1/2 of 10 and 1/10 is just one out of the 10 strawberry cupcakes.

Rick ate 5 Chocolate Cupcakes

Steward are 1 Strawberry Cupcake

4 0

2 years ago

Read 2 more answers

Ella invested $2,700 in an account paying an interest rate of 5.4% compounded

Dmitry [639]

Answer:

The account will take 7 years to reach a value of $4,020

Step-by-step explanation:

Compound Interest

When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

$A=P\left(1+{\frac {r}{n}}\right)^{nt}$

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.

It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:

$4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}$

Calculating:

$4,020=2,700\left(1.0045)^{12t}$

Dividing by 2,700:

$\frac{4,020}{2,700}=\left(1.0045)^{12t}$

To solve this equation for t, we need to apply logarithms:

$\log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}$

Applying the logarithm power rule:

$\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045$

Dividing by 12log 1.0045:

$\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}$

Calculating:

t= 7.39 years

Rounding to the nearest year, the account will take 7 years to reach a value of $4,020

3 0

3 years ago

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Please help ASAP URGENT

Shtirlitz [24]

Think of variable K as number of trees planted and variable J as number of minutes it takes to plant the trees.

K = _J + _

For every 4 trees planted it takes 2 minutes to plant them, so we now have -4/2. 4 is negative because we don't have an unlimited amount of trees to plant. With this being said, we can use this fraction as J.

K = -4/2J + _

We lose 4 trees every 2 minutes, but how many trees did we initially start out with? According to the graph, we started with 28 trees, so K = -4/2J + 28.

Now we can test this equation out by picking a random dot on the graph: 24/2.

24 = -4/2(2) + 28

24 = -4 + 28

24 = 24

This statement is correct, so our equation is correct.

5 0

3 years ago