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With a math homework.
Please Help! With a math homework. - 1

Answers

Answer 1
Answer: For #3:

y = 1/2x, x = -18

Plug in -18 for 'x':

y = 1/2(-18)

y = -9

For #4:

y = -4x + 6, x = 1

Plug in 1 for 'x':

y = -4(1) + 6

y = -4 + 6

y = 2
Answer 2
Answer: 1. (2,3),(6,4),(8,11),(10,4)
2. (7,-13),(9,-9),(11,-5),(14,-1)
Both relations are functions.

3. y(-18)=(1)/(2)\cdot(-18)=-9
4. y(1)=-4\cdot1+6=-4+6=2

5. It's easy to notice it's a linear function.
y=mx+b\nm=(y_2-y_1)/(x_2-x_1)\n\nm=(-10-(-5))/(2-1)\nm=(-5)/(1)\nm=-5\n\n-5=-5\cdot1+b\nb=0\n\n\boxed{y=-5x}

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What 97.645 rounded to the nearest tenth

Answers

97.645.

The tenth digit is 6. The digit after that is 4, and it is not up to 5, so we round it down. If it was up to 5 or more we would have added 1 more to the 6 to become 7, but since it is not up to we leave the 6 that way. 

97.645 ≈ 97.6  rounded to the nearest tenth.
The tenth digit is 6. The number after it is 4. So the 6 stays the same. It is 97.6

For a set of 5 positive integers, the mean is 4, the mode is 1, and the median is 5. What are the 5 numbers?

Answers

Let the 5 integers be a,b,c,d and e (arranged in ascending order).
Since we know that the median is five, we can conclude that the value of c=5.
It's given that the mode is 1. 1<5, and has to be repeated more than once. Therefore, a and b = 1.
Now, the mean is 4. So, (1+1+5+d+e)=4
d+e=13 (d and e have to be greater than 5)
Which makes d=6 and e=7

In conclusion, the 5 integers are 1,1,5,6,7

Which is the best estimate for the weight of a stapler 4 ounces for pounds 4 inches or feet

Answers

The answer is 4 ounces. This problem just requires that you have a "feeling" of what the units are. You should know that 4 pounds is a heavy weight for a stapler: it would be difficult to handle. While inches and feet are not units of weight but of length.

What are the answers to pg 593 -596

Answers

Look in the back of the book

How many triangles can be made if two sides are 4 inches and the angle between them is 90°?

Answers

2 triangles can be made

Find the missing side of the trianglethe base of the triangle is 3 and 1/4
and the area is 12 and 2/5
find the missing side

SHOW WORK

Answers

7 and 41/65 units
Working
The area of a triangle is found by using the formula;
A=1/2bh where A is area, b is base and h the height
substituting for given values;
12 2/5=1/2*3 1/4*h
Rewriting the values as improper fractions;
62/5=1/2*13/4*h
62/5=13/8h
h=62/5 *8/13
h=496/65
h= 7 41/65 units