Write a linear function that passes through (1,5) and (2,15)

Answers

Answer 1

Answer: Simple,

using $(y1-y2)/(x1-x2) =m (slope)$

find your slope...

$(5-15)/(1-2) = (-10)/(-1)=10$

thus, 10=m (slope)

Now, using y=mx+b to find your equation, plug in what you know...

Use any of the 2 coordinates.. (1,5)

5= 10(1)+b

5=10+b
-10 -10

-5=b

Thus, the equation to your line is...

y=10x-5.

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The sum of two numbers is 13 and there difference is 5 what are the 2 numbers?

I have 28 cubes. How many tens and ones can I make? -----tens ----ones ten------ ones

Answers

You can make 2 tens and 8 ones

2 tens 2x10=20
8 ones

Corey bought 2 1/2 liters of paint for$60

what was the cost per liter of paint.

Answers

we know that

Unit Rate is the ratio of two measurements in which the second term is $1$

we have

$2(1)/(2)\ liters=(2*2+1)/(2)=(5)/(2)\ liters$

Corey bought $(5)/(2)\ liters$ of paint for $\$60$

by proportion

Find the cost of one liter of paint

$(60)/((5/2))(\$)/(liters)=(x)/(1)(\$)/(liters) \n \nx*(5)/(2)=60\n \n x=2*60/5\n \nx=\$24$

therefore

the answer is

the cost per liter of the paint is equal to $24(\$)/(liter)$

if 2 1/2 liters of paint cost $60 then 1 liter cost $24

A veterinarian assistant has a 20 pound bag of cat food if he feeds each cat 2/5 pounds how many cats can he feed

Answers

Answer:

Step-by-step explanation:

20 / (2/5)

To divide by a fraction, multiply by the reciprocal.

20 × (5/2)

He can feed 50 cats.

50 cats

20 pounds is 100/5 pounds when written with a denominator of 5. Then you divide 100 by 2 and get 50.

Less than greater than or equal to10 fluid ounces __ 1 cup
5 qt __ 2 gallon
2 cups __ 46 fluid oz
64 fl oz __ 2 qt
3 gallons __ 22 pt
12 pt __ 3 gallons
160 fl oz __ 10 pt
100 fl oz __ 10 cups
100 qt __ 125 gallons

Answers

10 oz is greater than 1 cup
5 at is greater than 21 gallons
2 cups is less than 46 oz
64 oz is greater than 2 qt
3 gallons is greater than 22 pt

Answer:

don't know

Step-by-step explanation:

What is the vertex of the function f(x) = 1/2x^+3x+3/2?

Answers

Answer:

(-3,-3)

Step-by-step explanation:

I think that you meant to put 1/2x^2+3x+3/2. If so, the vertex is at point (-3,-3).

I graphed the equation down below.

If this answer is correct, please make me Brainliest!

A class has 28students. The ratio of girls to boys is 4:3. How many girls are in the class?

Answers

Answer:

In a class of 28 students the ratio of girls and boys is 4:3. The number of girls in the class is 16.

Solution:

Let us consider total number of students in the class is “T”.

Let the ratio of the students (Girl and boys) in the class is G: B.

Given that total number of students in class (T) = 28

From question, given that ratio of girls and boys is 4:3. We can write this ratio as,

Number of girls (G) = 4x and number of boys (B) = 3x

We have to find the number of girls in class. The total number of girls present in the class is given as ,

$G = T * (G)/(G + B)$

The total girl students present in the class G = $28 * (4 x)/(4 x + 3 x) = 28 * (4 x)/(7 x)$

= $28 * (4)/(7) = 4 * 4 = 16$

Hence the total number of girls in the class is 16.

There are 4+3=7 parts in total
4x7=28
16 are girls and the balance is 12 boys

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