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ale4655 [162]
2 years ago
13

Which equation represents the linear relationship shown on the graph below?

Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

To find the linear relationship we need

  • two points on the line: (0,3), (2,4)
  • and the slope = \frac{y2-y1}{x2-x1} =\frac{4-3}{2-0} =\frac{1}{2}

Now lets put any one point on the line such as (0,3) and the slope into the point-slope form:

      y - 3 = (\frac{1}{2} )(x-0)\\y = \frac{1}{2}x + 3

Hope that helps!

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If f(x)=2x-5 and g(x)=x^2-4x-8, find (f+g)(x).
viktelen [127]

f(x)=2x-5,\ g(x)=x^2-4x-8\\\\(f+g)(x)=f(x)+g(x)=(2x-5)+(x^2-4x-8)\\\\=2x-5+x^2-4x-8=x^2+(2x-4x)+(-5-8)=x^2-2x-13

8 0
4 years ago
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The length of the rectangle is 8cm longer than the width.
masya89 [10]
The length of the rectangle is 8cm longer than the width.
l=w+8
If the length of the original rectangle is increased by 6cm and the width is increased by 3cm the perimeter is 76cm.
p=76=((l+6)+(w+3))*2=(l+6+w+3)*2=(l+w+9)*2

to solve this substitute l=w+8 into the p= equation:
p=76=((w+8)+w+9)*2=
76=(2w+17)*2
76=4w+34
42=4w
10.5=w

l=w+8=10.5+8=18.5
4 0
4 years ago
A small 17 kilogram canoe is floating downriver at a speed of 2 m/s. What is the
RideAnS [48]
<h2>Hello!</h2>

The answer is:

Answer: 34

Units: Joules

KE=34J

<h2>Why?</h2>

The kinetic energy is the work needed to accelerate an object to a determined speed.

The kinetic energy can be calculated using the following equation:

KE=\frac{1}{2}mv^{2}

Where,

m, is the mass of the object.

v, is the speed of the object.

So, we are given the information:

mass=17kg\\\\v=\frac{2m}{s}

Then, substituting and calculating we have:

KE=\frac{1}{2}mv^{2}

KE=\frac{1}{2}*17kg*(\frac{2m}{s})^{2}

KE=8.5kg*(\frac{4m^{2}}{s^{2}})

KE=34\frac{kg.m^{2}}{s^{2}}=34J

Have a nice day!

7 0
3 years ago
Need help will give 14 points
azamat

Answer:

1) False. 2) False.

Step-by-step explanation:

1) False. 2) False.

1) is false because it says, "A total of 40 students can type from 0-59 words per minute." 0-14w=5s, 15-29w=10s, 10-44w=14s, and 45-59w=20s. w= words per minutes s= number of students (BTW) 5+10+14+20=54 not 40

2) is false because it says, "The number of students who typed 45-59 words per minute is equal to the number of students who typed 15-39 and 0-14."

45-59w=20s

15-39w=10s and 0-14w=5s

10s+5s=15s

20s>15s

6 0
3 years ago
On Monday, Andrew ate some grapes. On Tuesday, he ate 2 more grapes than what he ate on Monday. On Wednesday, He ate 2 more grap
Valentin [98]

Answer: I think It's 38

Step-by-step explanation:

you can multiply or add all of them together

6 0
2 years ago
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