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Fiesta28 [93]
3 years ago
11

How do you determine whether a sum will be positive, negative, or 0 when adding a positive and a negative integer?

Mathematics
1 answer:
professor190 [17]3 years ago
3 0
If the integers have the same absolute value ... they're the same number
but with different signs ... then their sum is zero.

Example:    (plus) 927 added to (negative) 927  =  zero


If the integers have different absolute values ... they're different numbers with different
signs ... then their sum has the same sign as the one with the bigger absolute value.

Examples:

==>   (plus) 92 added to (negative) 91
         92 and 91 are 1 number apart on the number line.
         The positive number is bigger than the negative number.
         So the sum is  +1 . 

==>    (plus) 35 added to (negative) 37
          35 and 37 are 2 numbers apart on the number line.
          The negative number is bigger than the positive one.
          So the sum is  -2 .
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Which function is a horizontal translation of the parent quadratic function
alexandr1967 [171]

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus

g(x) = (x - 4)² represents a horizontal translation to the right of f(x) by 4 units.

8 0
3 years ago
12) Oliver is not allowed to watch more than 4 hours of television a week. He watched his favorite show on Monday which was 1 ho
Semenov [28]

Answer:

B. Oliver can watch TV for 1.5 hours more this week.

Step-by-step explanation:

Oliver is not allowed to watch more than 4 hours of television a week. He watched his favorite show on Monday which was 1 hour long and his favorite Tuesday show which was 1.5 hours long.

So he has already finished 2.5 hours of watching . He can watch only for 4 hours for the total week.

Let x be the number of more hours for which he can watch television.

Then ,

x + 1 + 1.5 = 4

x + 2.5 = 4

x = 4 - 2.5

x = 1.5 hours.

So Oliver can watch television for at most 1.5 hours for the rest of the week.

Then the correct option is B.

3 0
3 years ago
In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th
ehidna [41]

Question:

In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.) (a) 18 years of age (b) 20 years of age (c) 30 years of age

Answer:

A.) 0.0064

B.) 0.0625

C.) 0.5776

Step-by-step explanation:

Given the following :

Married by 18th birthday = 8% = 0.08

Married by 20th birthday = 25% = 0.25

Married by 30th birthday = 76% = 0.76

In a family with two(2) daughters :

P(First daughter will be married by 18) = 0.08

P(second daughter will be married by 18) = 0.08

P(1st and 2nd married by 18) = (0.08×0.08) = 0.0064

B.)

P(First daughter will be married by 20) = 0.25

P(second daughter will be married by 20) = 0.25

P(1st and 2nd married by 20) = (0.25×0.25) = 0.0625

C.)

P(First daughter will be married by 30) = 0.76

P(second daughter will be married by 30) = 0.76

P(1st and 2nd married by 30) = (0.76×0.76) = 0.5776

6 0
3 years ago
Any help would be great
Fofino [41]

Answer:

63

Step-by-step explanation: The ratio from planet A to B is 100 to 3. If an elephant weight 2100 is planet a, then we are multiplying 21 to hundred. Whatever you do on the left side you have to do it on the right side and if you multiply 21 and 3 on the right side then you get 63.

5 0
4 years ago
Read 2 more answers
Please help me‼️‼️‼️
rewona [7]

Answer:

y= 4x-7

Step-by-step explanation:

First, we need to find the slope. We can do this by using the formula:

1) y₂-y₁/x₂-x₁

2) 9-5/5-3

3) 4/2

4) The slope is 2

Next, we have to first plug the slope (2) and one of the coordinate pairs (I chose (3,5)) into point-slope format.

5) y-y₁=m(x-x₁)

6) y-5 =4(x-3)

7) Now we just simplify this equation to make it slope intercept form (y=mx+b)

8) y-5= 4x-12

9) y=4x-7

And there you have it :)

6 0
3 years ago
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