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2 years ago

What is -3/4 times 1 1/5

Mathematics

1 answer:

AlekseyPX2 years ago

4 0

Answer:

-9/10

Step-by-step explanation:

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X y

Darina [25.2K]

Answer:

Part 1) The rate of change is $\frac{17}{15}$

Part 2) The initial value is 68

Part 3) The function rule to the linear model is $y=\frac{17}{15}x+68$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{85-68}{15-0}$

$m=\frac{17}{15}$

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is $\frac{17}{15}$

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

$b=68$

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

$y=mx+b$

we have

$m=\frac{17}{15}$

$b=68$

substitute

$y=\frac{17}{15}x+68$

8 0

2 years ago

During a scuba dive, Lainey descended to a point 23 feet below the ocean surface. She continued her

abruzzese [7]

t (23) ≤ 97 - 23

The minus 23 at the back represents the feet she already descended before what the question wants us to calculate

≤ is used instead of < because it states more than, not "equal or more than" (meaning 97 sharp is fine)

8 0

2 years ago

Multiply the polynomials. (3x − 9)(5x + 1)

Scilla [17]

1 5 x ² - 4 2 x - 9

Ther

3 0

2 years ago

Read 2 more answers

Hello!

Gnesinka [82]

Answer:

A. 2 < x < 10

Step-by-step explanation:

With two congruent sides the third side is greater against a greater angle.

34 < 36, therefore:

3x - 6 < 24
3x < 30
x < 10

And, the angle should have a positive value:

3x - 6 > 0
3x > 6
x > 2

Combined, we get:

2 < x < 10

8 0

2 years ago

The can is 12cm high and 8cm in diameter. Using formula V=TT r2h, how much is in the can

scoray [572]

The formula you have given here is for the volume of a cylinder. It should read $V = \pi r^{2} h$ .
First, to find r, the radius, divide the diameter by two (since the radius is the distance from the circumference to the centre and the diameter is the distance from any point on the circumference to the opposite point (through the centre))

r = 8/2 = 4

Now we can calculate this.
$V = \pi *4^{2}*12 = \pi * 16 * 12 = 603.185... \\ 
V = 603 cm^{3}$

If your answer needs to be in litres, one cubic centimetre = one millilitre.

603 cm3 = 603mL = 0.603 L

4 0

2 years ago