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2 years ago

Dennis drew the line of best fit on the scatter plot shown below:

Mathematics

1 answer:

matrenka [14]2 years ago

8 0

Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = $\frac{6-12}{6-2}$ = $\frac{-6}{4}$ = - $\frac{3}{2}$

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = - $\frac{3}{2}$ x + 15 ← approximate equation of line of best fit

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What is the conversion?

Gelneren [198K]

Answer:

see below

Step-by-step explanation:

The conversion factor in the box is the product ...

$\dfrac{1\,\text{kPa}}{1000\,\text{Pa}}\cdot\left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3=10^{-9}\,\dfrac{\text{kPa m}^3}{\text{Pa cm}^3}$

_____

The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.

Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).

To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.

When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.

8 0

3 years ago

Write the ratio as a fraction in lowest terms 17 minutes to 2 hours

8_murik_8 [283]

17:2 equals is 17/19 of the whole and part b is 2/19 of the whole

3 0

4 years ago

Read 2 more answers

Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one

dalvyx [7]

Answer with Step-by-step explanation:

We are given that

$f(x)=\frac{3x-1}{x}$

For each real number $x\neq 0$

To prove that f is one -to-one.

Proof:Let $x_1$ and $x_2$ be any nonzero real numbers such that

$f(x_1)=f(x_2)$

By using the definition of f to rewrite the left hand side of this equation

$f(x_1)=\frac{3x_1-1}{x_1}$

Then, by using the definition of f to rewrite the right hand side of this equation of $f(x_1)=f(x_2)$

$f(x_2)=\frac{3x_2-1}{x_2}$

Equating the expression then we get

$\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}$

$3x_1x_2-x_2=3x_2x_1-x_1$

$3x_1x_2-3x_1x_2+x_1=x_2$

$x_1=x_2$

Therefore, f is one-to-one.

6 0

3 years ago

6)2.1 + 18:9<br> What is the answer and the explanation

Lapatulllka [165]

2.1+18.9

The answer is going to be 21 because 9+1=10, you then carry the 1 for 8 so it’s going to be 9+2 which equals to 11 now you carry the 1 to the 1 so it’ll be 2. Therefore it’s 21.0 or just cancel out the 0 and just leave it as 21.

6 0

3 years ago

5(6 + 3r) + 7 > 127 please simplify and explain in number form will give brainliest

alexira [117]

Answer:

r>6

Step-by-step explanation:

5(6+3r) +7>127

30+15r+7>127

37+15r>127

15r>127-37

15r>90

r=6

3 0

3 years ago