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4 years ago

A line passes through the points (4,15) and (8,19). Write a linear function rule in terms of x and y for this line.

Mathematics

1 answer:

marissa [1.9K]4 years ago

7 0

The line pass though 15 and 16 percent

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A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo

Olegator [25]

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) $10X+5X+5X=300 => 20X = 300 => X = 15$ days for the lessons

b) $5X+10X+8X = 300 => 23X = 300 => X = 13.04$ days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) $10X+5X=300 => 15X = 300 => X = 20$ days for the lessons

b) $5X+10X = 300 => 15X = 300 => X = 20$ days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) $10(10/24)+5X+5X= 300 => X = 29.58$ days for the lessons

b) $5(10/24)+10X+8X = 300 => X = 16.51$ days for the tests

so at the end to complete both tasks they need 29.58 days

4 0

3 years ago

Make d the subject of the formula h=d/3+2

Pani-rosa [81]

Answer: D=3(h-2)

Explanation —>

8 0

2 years ago

What would y be if 8x-6y=36

kondor19780726 [428]

Answer:

$\quad y=-\frac{2\left(-2x+9\right)}{3}$

Step-by-step explanation:

1. Subtract 8x from both sides:

8x-6y-8x=36-8x

2. Simplify:

-6y=36-8x

3. Divide both sides by -6

$\frac{-6y}{-6}=\frac{36}{-6}-\frac{8x}{-6}$

4. Simplify to get answer

8 0

3 years ago

List all the factors of 18

-Dominant- [34]

1 and 18
2 and 9
3 and 6 or of you want the set
1,2,3,6,9,18

6 0

4 years ago

HELP!!!!!!!!!! AP CALCULUS AB

raketka [301]

Answer:

$\lim_{x \to 5^{-}} f(x)= 54$

$\lim_{x \to 5^{+}} f(x) = -17$

Step-by-step explanation:

+ means we are approaching from the right

- means we are approaching from the left

We are given that if x < 5, it is x² + 5x + 4

So to find $\lim_{x \to 5^{-}} f(x)$ we would plug in 5 into that piecewise function part:

5² + 5(5) + 4 = 54

We would be approaching y = 54 if we approach from the left.

We are given that x > 5, it is -4x + 3

So to find $\lim_{x \to 5^{+}} f(x)$ we would plug in 5 into that piecewise function part:

-4(5) + 3 = -17

We would approach y = -17 if we approached from the right.

8 0

3 years ago

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