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3 years ago

15

I need help solving systems of linear equations by substitution. {4x+3y=14 3x-2y=2

1 answer:

Sauron [17]3 years ago

4 0

Answer:

A) 4x+3y=14

B) 3x-2y=2

We multiply equation A) by (2/3)

A) (8/3) x +2y = 28/3 then we add this to equation B)

B) 3x-2y=2

5 (2/3) x = 11 (1/3)

x = 2

A) 4 * 2 + 3 y = 14

A) 3y = 6

y = 2

Step-by-step explanation:

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A) choose the linear model that passes through the most data points on the scatterplot.

irina1246 [14]

Answer: b

Explanation:
The line of best fit to a scattergram is obtained in linear regression analysis by minimizing the sum of the squared errors.
For example, in the diagram shown below, there are n data points in the scattergram.
The error for the i-th data point is $e_{i}$ .
The coefficients (a and b) for the line of best fit are determined using calculus, to minimize $\sum_{i=1}^{n} e_{i}^{2}$ .

8 0

3 years ago

What is the unit rate for You create 18 centerpieces for a party in 6 hours.

Snezhnost [94]

Answer: The unit rate is 3 centerpieces per hour

Step-by-step explanation:

18centterpieces/6hrs =3

8 0

3 years ago

What is the density of an object having a mass of 25 g and a volume of 8.0 cm cubed

weqwewe [10]

Answer:

3.125 g/cm³.

Step-by-step explanation:

The formula for density/mass/volume is d = m/v, where d is density in grams per cm cubed, m is in grams, and v is in cm cubed.

In this case, m = 25 and v = 8.0.

d = 25 / 8.0

d = 25 / 8

d = 3.125.

So, the density of the object is 3.125 g/cm cubed.

Hope this helps!

6 0

3 years ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

4 0

3 years ago

So what is the answer to Which is larger? 3.6 km or 3,600 m

mina [271]

Answer:

the answer is 3.6km is bigger then 3,600 m

3 0

3 years ago