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spayn [35]
2 years ago
11

Write in slope intercept form an eqaution of the line that passes through the given points. (2,4) , (5,13)

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
4 0

Answer:

y=3x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-4)/(5-2)

m=9/3

m=3

y-y1=m(x-x1)

y-4=3(x-2)

y=3x-6+4

y=3x-2

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|-6+8| = simplify the expression
lilavasa [31]

Answer:

2

Step-by-step explanation:

|-6+8|

Add/subtract the numbers: -6 + 8 = 2

= |2|

Apply the absolute value rule: |a| = a, a ≥ 0

= 2

8 0
2 years ago
22. The area of a triangle can be represented by the expression 14x^5 + 63x^2. If the base is 7x^2, write
kkurt [141]

Answer:

h = 4x ^ 3 + 18

Step-by-step explanation:

The first thing you should know for this case is that the area of a triangle is given by:

A = (1/2) * (b) * (h)

Where,

b: base.

h: height.

Clearing the height we have:

h = ((2) * (A)) / (b)

Substituting the values

h = ((2) * (14x ^ 5 + 63x ^ 2)) / (7x ^ 2)

Simplifying the expression:

h = ((2) * (2x ^ 3 + 9))

h = 4x ^ 3 + 18

answer

an expression to represent its height is

h = 4x ^ 3 + 18

4 0
3 years ago
Please really need help anyone
Ronch [10]

Answer:

<em>A = $5183.36</em>

Step-by-step explanation:

<u>Compound Interest</u>

It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

{\displaystyle 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

Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.

Applying the formula:

{\displaystyle A=4000\left(1+{\frac {0.026}{4}}\right)^{4*10}}

{\displaystyle A=4000\left(1.0065\right)^{40}}

A = $5183.36

5 0
2 years ago
A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per li
Lilit [14]

Answer:

Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.

Step-by-step explanation:

We can solve this by using <em>simultaneous equations</em>:

  1. Let us express the question in terms of equations

Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

Equation 1: 0.5a + 0.8b = 0.59(a+b)

Equation 2: a + b = 2000

From equation 2, a = 2000 - b (Let's call this equation 3)

    2. Substituting equations 2 and 3 in Equation 1:

0.5a + 0.8b = 0.59(a+b)

0.5(2000 - b) + 0.8b = 0.59(2000)

1000 - 0.5b + 0.8b = 1180

0.3b = 180

b = 600

Substitute in equation 3:

a = 2000 - 600

a = 1400

As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

4 0
3 years ago
Yolanda buys
Stells [14]

Answer:

The unit price is 4.15 dollars per gallon

Step-by-step explanation:

- Yolanda buys 5.8 gallons of gas for $24.07

- We need to find the unit price in dollars per gallon

- Unit price means the price of each gallon

∵ The number of gallons = 5.8 gallons

∵ The price of the gallons = $24.07

∵ The unit price = the amount of money ÷ number of gallons

∴ The unit price = 24.07 ÷ 5.8

∴ The unit price = 4.15 dollars per gallon

* <em>The unit price is 4.15 dollars per gallon</em>

3 0
2 years ago
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