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3 years ago

Write the equation with the following characteristics: slope: m=-2, y-intercept: b=5

Mathematics

1 answer:

Mariana [72]3 years ago

8 0

Answer:

y=-2x+5

Step-by-step explanation:

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Use the FOIL Method to find (k+5)(k−1).

Elenna [48]

Answer:

(k+5)(k−1)=k2+4k−5

Step-by-step explanation

4 0

3 years ago

Read 2 more answers

The formula A=P(1+r)t is used to show the total amount owed for a loan with a simple annual interest rate.

vodka [1.7K]

We are asked to express r in terms of A, P, and t.

We first divide both sides of the equation by t, which gives us

$\displaystyle{ \frac{A}{t}=P(1+r)$ ,

then, dividing both sides by P, we have

$\displaystyle{ \frac{A}{Pt}=1+r$ .

Swap the sides:

$\displaystyle{ 1+r= \frac{A}{Pt}$

Finally subtracting 1 from both sides gives us

$\displaystyle{ r=\frac{A}{Pt}-1$ .

5 0

3 years ago

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The sum of two numbers is 31. The product of the two numbers is 150. What are the numbers?

mestny [16]

One way is to factor 150 and add the factors
150+1=151, nope
2+75=77, nope
3+50=53, nope
5+30=35, nope
6+25=31, yep

the numbers are 6 and 25

7 0

3 years ago

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Nicolas has $650 to deposit into two different savings accounts. • Nicolas will deposit $400 into Account I, which earns 3.5% an

OLga [1]

account 1:

$400 * 0.035 * 2 = $28

$28 interest earned so total = $400 + $28 = $428

account 2:

= $250(1+0.035)^2 = 267.50

total account 1 and account 2 =

$428 + $267.81 = $695.50

answer is B $695.00

4 0

3 years ago

Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.

Allisa [31]

Let, the age of Daniel be x years and Kevin be y years.

Given, Kevin is 3 years older than Daniel.

So we can write the equation as y=x+3

Also given, 2 years ago Kevin was 4 times as old as Daniel.

2 years ago, Daniel's age = (x-2) years

2 years ago, Kevin's age = (y-2) years.

So we can write the equation as (y-2) = 4(x-2)

We have got the two equations

y = x+3 ..... equation 1

(y-2) = 4(x-2) ..... equation 2

Now we are plugging in the value of y from equation 1 to equation 2

x+3-2 = 4(x-2)

x+1 = 4(x-2)

Now we have to distribute 4 in the right side.

x+1 = 4x -8

We will have to take x in one side. so let's move 4x to the left side by subtracting it to both sides.

x -4x+1 = 4x-4x -8

-3x+1 = 0-8

-3x+1 = -8

Now we have to move 1 to the right side by subtracting 1 from both sides.

-3x +1 -1 = -8-1

-3x+0 = -9

-3x = -9

Now we can get x by moving -3 to the right side. As -3 is multiplied there so we can move it by dividing both sides by -3.

-3x/-3 = -9/-3

x = 3

So we have got the required answer. Daniel is 3 years old.

8 0

4 years ago