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3 years ago

Are 30/80 and 24/64 proportional

Mathematics

1 answer:

Flura [38]3 years ago

5 0

Answer:

Yes, they are proportional

Step-by-step explanation:

First, simplify each fraction

30/80 can be simplified by dividing each number by 10

30/80

= 3/8

24/64 can be simplified by dividing each number by 8

24/64

= 3/8

So, each fraction will simplify to 3/8, meaning that they are proportional.

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Ou want to get an oil change every 4,000 miles. How many oil changes do you get in a year driving 1000 miles a month?

deff fn [24]

3.

1000 miles per month.
12 months in a year.
1000 × 12 = 12000 miles per year

Oil change every 4000 miles.
12000 ÷ 4000 = 3

Therefore 3 oil changes per year.

5 0

2 years ago

Find the inverse function y=-5x+20

Nezavi [6.7K]

Answer:

$y= \frac{-1}{5} x +4$

Step-by-step explanation:

We can find the inverse function of this excercise, isolating X and then changing the variables.

$y=-5x+20\\y-20=-5x\\\frac{y-20}{-5} =x\\$

$\frac{y}{-5}-\frac{20}{-5} = x\\\frac{-1}{5}y+\frac{20}{5} =x\\ \frac{-1}{5}y+4 =x$

And now we change the variables and we get the inverse function:

$y= \frac{-1}{5} x +4$

7 0

2 years ago

Write the point slope form of the given line that passes through points (-4,-1) and (3,-3). Identify (x1,y1) as (-4,-1) include

Masteriza [31]

Y-y1=m(x-x1)

find slope
(y2-y1)/(x2-x1)

so
(-4,-1)
(3,-3)
slope=(-3-(-1))/(3-(-4))=(-3+1)/(3+4)=-2/7

y-(-1)=-2/7(x-(-4))
y+1=-2/7(x+4)

6 0

3 years ago

Plz answer this brainliest will be whoever answers it

USPshnik [31]

Idk but I would guess 3!

5 0

2 years ago

PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest

Ratling [72]

Answer:

he rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Step-by-step explanation:

A quadratic equation is given by:

$ax^2+bx+c =0$

Here, a, b and c are termed as coefficients and x being the variable.

Axis of symmetry can be obtained using the formula

$x = \frac{-b}{2a}$

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

$f(x) = x^2 + 6x - 1$

⇒ a = 1, b = 6 and c = -1

$g(x) = -x^2 + 2$

⇒ a = -1, b = 0 and c = 2

$h(x) = 2^2 - 4x + 3$

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in $f(x) = x^2 + 6x - 1$ will be:

$x = \frac{-b}{2a}$

x = -6/2(1) = -3

and axis of symmetry in $g(x) = -x^2 + 2$ will be:

$x = \frac{-b}{2a}$

x = -(0)/2(-1) = 0

and axis of symmetry in $h(x) = 2^2 - 4x + 3$ will be:

$x = \frac{-b}{2a}$

x = -(-4)/2(2) = 1

So, the rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Keywords: axis of symmetry, functions

Learn more about axis of symmetry from brainly.com/question/11800108

#learnwithBrainly

7 0

3 years ago