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3 years ago

Find the equivalent expression of 3+2(2p+4t)

Mathematics

1 answer:

NISA [10]3 years ago

7 0

Remember to follow PEMDAS, and to only combine terms with like variables.

First, distribute the 2 to all terms within the parenthesis:

2(2p + 4t) = 2(2p) + 2(4t) = 4p + 8t

3 + 4p + 8t, or (D), is your answer choice, for it cannot be simplified anymore.

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I please need help with this question. Thank you

Diano4ka-milaya [45]

Part (A)

The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.

The output variable is the y value, which in this case is the height. The units for the height is in inches.

====================================================

Part (B)

We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.

Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.

A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.

While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.

As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.

====================================================

Part (C)

The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728

So the rate of change is 1.728 inches per shoe size.

In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.

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Extra info:

The equation

Height = 51.46 + 1.728(Shoe Size)

is the same as

y = 51.46 + 1.728x

where x is the shoe size and y is the height

We can rearrange that into

y = 1.728x + 51.46

So that it matches with the familiar y = mx+b slope intercept form. This is optional.

3 0

2 years ago

What is the solution to the system of equations? 3x + 10y = -47 5x- 7y = 40<br>Please and thank u

anastassius [24]

Answer:

x=1, y=-5

Step-by-step explanation:

Given equations are:

$3x+10y=-47\ Eqn\ 1\\and\\5x-7y=40\ Eqn\ 2$

In order to solve the equation

Multiplying Eqn 1 by 5 and eqn 2 by 3 and subtracting them

So,

Eqn 1 becomes

15x+50y=-235

Eqn 2 becomes

15x-21y=120

Subtracting 2 from a

15x+50y - (15x-21y) = -235-120

15x+50y-15x + 21y = -355

71y = -355

y = -355/71

y =-5

Putting y= -5 in eqn 1

3x+10(-5) = -47

3x -50 = -47

3x = -47+50

3x = 3

x = 3/3

x = 1

Hence the solution is:

x=1, y=-5

5 0

3 years ago

Read 2 more answers

Evaluate each expression<br> 6! =<br> 3! • 2=<br> 31

Airida [17]

<h2><u>N-FACTORIAL!</u></h2>

<h3> $\mathbb{ \color{brown} \: PROBLEM } \: \: \bold{{ \color{brown}{1}}} :$ </h3>

$\mathcal{SOLUTION: }$

$\: \bold{ \red{6!}= 6×5×4×3×2×1= \boxed{ \bold{ \blue{720}}}}$

Therefore, <u>the value of 6! is 720</u>.

━┈─────────────────────┈━

<h3> $\mathbb{ \color{brown} \: PROBLEM } \: \: \bold{{ \color{brown}{2}}} :$ </h3>

$\mathcal{SOLUTION: }$

$\bold{3! \cdot 2! }\implies \bold{(3×2×1) \cdot( 2×1 )}$

$\: \: \: \: \: \: \: \: \: \: \: \: \implies \: \bold{ 6 \times 2} = \boxed{ \bold{ \blue{12}}}$

Therefore, <u>the value of the given expression is 12.</u>

━┈─────────────────────┈━

<h3><u>EXPLANATION</u><u>:</u></h3>

The mathematical symbol n! is read as "n factorial". The exclamation point "!" is read as factorial. And please remember or take note that 0! is equal to 1, and 1! is also equal to 1.

_______________∞_______________

6 0

2 years ago

Maria is buying new carpet. Her bedroom is in the shape of a square and the length id each side is 12 feet. Write and simplify a

satela [25.4K]

Answer: She needed 144 square feet of carpet.

Step-by-step explanation:

Given : Maria is buying new carpet. Her bedroom is in the shape of a square.

The length of each side is 12 feet.

We know that the area of square = $(side)^2$