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Luden [163]
3 years ago
10

Given the function g(x) = −3x + 4, compare and contrast g(−2) and g(4). Choose the statement that is true concerning these two v

alues. (5 points) The value of g(−2) is smaller than the value of g(4). The value of g(−2) is the same as the value of g(4). The values of g(−2) and g(4) cannot be compared. The value of g(−2) is larger than the value of g(4).
Mathematics
2 answers:
vivado [14]3 years ago
6 0
G(x)= -3x+4
substitute x with -2
g(-2)= -3(-2)+4= 6+4=10
substitute x with 4 
g(4)= -3·4+4= -12+4= -8

so g( -2)=10 and g(4) = -8
The value of g(-2) is larger than the value of g(4)
madreJ [45]3 years ago
5 0

Answer:

its letter d for sure


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Chloe is painting on a stretched canvas that has an area of 108 square inches. The length of the canvas is 12 inches. The width
Stolb23 [73]

Answer: Width of canvas = 9 inches

Area left for painting after painting the border = 70 square inches.

Explanation :

Since we have given that

Area of painting = 108 square inches

Length of canvas = 12 inches

As we know that

\text{Area of rectangle} = length\times breadth

108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth

So, breadth of canvas = 9 inches .

Now, Chloe paints a 1 inch wide blue border on the canvas.

\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}

\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}

\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}

Hence, remaining area = 70 square inches .

6 0
3 years ago
Write a definition for the term perimeter
Bezzdna [24]
Perimeter is the distance around a two-dimensional shape.
8 0
4 years ago
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Allison earns $14 an hour plus $20 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the w
Ronch [10]

<u>Part a)</u> Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime

Let

E-------> the amount of money earned

x------> number of hours worked

we know that

For x\leq35

E=14x

therefore

<u>the answer part a) is</u>

E=14x

<u>Part b) </u>Create an equation that shows the amount of wages earned, T, for working y hours of overtime

Let

T-------> the amount of money earned

y------> number of hours of overtime

we know that

T=14*35+20y

T=\$490+20y

therefore

<u>the answer part b) is</u>

T=\$490+20y

<u>Part c)</u> Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?

we know that

35\ hours=\$490

\$610-\$490=\$120

Divide \$120 by  \$20----> to obtain the hours of overtime

\frac{120}{20}=6\ hours\ of\ overtime

So

Allison works

35+6=41\ hours

Regular=35\ hours\\ Overtime=6\ hours

therefore

<u>the answer part c) is</u>

Regular=35\ hours\\ Overtime=6\ hours

4 0
3 years ago
L1 : y = 2x , (2) find the equation of the line L2 perpendicular to L1 passing through the point P = (1, 2).
just olya [345]

Answer:

<h2>2y+x = 5</h2>

Step-by-step explanation:

Given the line L1 as y = 2x perpendicular to an unknown line L2 passing through the point P = (1, 2), we are to find the equation of line L2. to find the equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line

(x₀, y₀) is the given point.

First is to get the slope of the known line:

comparing the line L1: y = 2x with the standard equation of the line y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 i.e

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Finally we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (1,2) and m₁ = -1/2

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

open the parenthesis

y-2 = -x/2+1/2

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

<em>Hence the equation of the line L2 is 2y+x = 5</em>

<em></em>

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lisov135 [29]
Yes they do. It is 24, 48, 72, and 96.

Those are the common multiples between 6 and 8.
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3 years ago
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