A data set contains an independent and dependent variable which must be true or the data set of a linear function can be used to represent the data

Answers

Answer 1

Answer: The correct answer for the question that is being presented above is this one: "d. The values in the set must be increasing." A data set contains an independent and dependent variable which must be true or the data set of a linear function can be used to represent the data.

Here are the following choices:
a. The set must have a constant additive rate of change.
b. The set must have a constant multiplicative rate of change.
c. The values in the set must be positive.
d. The values in the set must be increasing.

Answer 2

Answer:

Answer: D

Step-by-step explanation: edg

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3/5 + 3/10 = ??

Simplify answer fully

Answers

Find common denominators. In this case, it is 10

Multiply 2 to both numerator and denominator of 3/5

(3/5) x (2/2) = 6/10

Combine the terms

6/10 + 3/10 = 9/10

9/10 is your answer

hope this helps

3/5+3/10
Taking LCM we get 6+3/10
=9/10=0.9 is the answer..!

For questions 1-7, use the following functions to answer the questions: f(x)x^2+5x g(x)=3x-4/2

Answers

Answer:

f(4) = (4)² + 5(4) = 36.

g(9) = [3(9) - 4]/2 = 23/2.

f(-3) = (-3)² + 5(-3) = -6.

g(-6) = [3(-6) - 4]/2 = -11.

Set f(x) = 14.

=> x² + 5x = 14

=> x² + 5x - 14 = 0

=> (x + 7)(x - 2) = 0

=> x = -7 or x = 2.

Set g(x) = -28.

=> (3x - 4)/2 = -28

=> 3x - 4 = -56

=> 3x = -52

=> x = -52/3.

Answer:

11.5

-11

-2, 7

-17.333 / - 17⅓

Step-by-step explanation:

f(4) = 4² + 5(4) = 16+20 = 36

g(9) = 3(9)-4 ÷ 2 = 23÷2 = 11.5

f(-3) = (-3)²+5(-3) = 9 - 15 = 6

g(-6) = 3(-6)-4 ÷ 2 = - 22 ÷ 2 = - 11

f(x) = 14

x² - 5x = 14

x² - 5x - 14 = 0

(x+2) (x-7) = 0

x = - 2 or x = 7

g(x) = -28

$(3x - 4)/(2) = - 28$

3x - 4 = - 56

3x = - 52

x = - 52/3 = - 17 ⅓

What is 0.03 as a fraction

Answers

0.03 as a fraction is 3/100

$\boxed{\bold{0.03= (3)/(100) }}$

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park. Write and solve an equation to find how far Joey walked to get to Armando's home.

Answers

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

$(9)/(10) = x + (3)/(5)$

$x = (9)/(10) - (3)/(5) = (9)/(10) -(6)/(10) = (3)/(10)$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=(9)/(100) \textrm{ or } c^2=(9)/(4)$

$c=(3)/(10) \textrm{ or } c=(3)/(2)$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

Reed wants to buy a new tent for an upcoming camping trip. The tent is marked down from its original price by 20%, and Reed has a coupon for an additional 10% off of the sale price. If the original cost of the tent was $175, what does Reed pay?

Answers

You would take 175 and multiply it by 0.20 which is 35. The you would subtract 35 from 175 because it is marked down so you would get 140. Next, you would take 140 and multiply it by 0.10 and get 14. Finally subtract 14 from 140 to get your answer which would be $126.

You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the ground. How tall is your house?

Answers

A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.

If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft

Therefore, the house is 12.20 ft tall

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30 1/4% in simplest form