All categories

3 years ago

1. Suppose a and b are real numbers where a > 0 and b < 0.

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

a) –a + b is negative

b) a – b is positive

c) b-a is negative

Step-by-step explanation:

1. Suppose a and b are real numbers where a > 0 and b < 0.

a. Is –a + b positive or negative. Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

–a + b

= -(6)+(-5) = -6-5 = -11

So, –a + b is negative

b. Is a – b positive or negative? Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

a - b

=6-(-5) = 6+5 = 11

So, a – b is positive

c. Is b – a positive or negative. Explain how you know

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

b-a

=(-5)-(6)

= -5-6

= -11

So, b-a is negative

Keywords: Solving Integers:

Learn more about solving integers at:

#learnwithBrainly

You might be interested in

Which tables represent linear functions of x?

harina [27]

Answer:

answer B

Step-by-step explanation:

I got this answer right on my test

8 0

3 years ago

Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11 1/2 kg in another. They sent 1 1/4 kg to be recycled and t

Ivan

Answer: $18.45\ kg$ or $18\frac{9}{20}\ kg$

Step-by-step explanation:

We can convert from mixed numbers to decimal numbers:

$11\frac{1}{2}\ kg=(11+0.5)\ kg=11.5\ kg\\\\1\frac{1}{4}\ kg=(1+0.25)\ kg=1.25\ kg$

Since they cleaned up 8.2 kilograms of trash in one neighborhood and 11.5 kilograms in another neighborhood, the total trash they cleaned up was:

$Total=8.2\ kg+11.5\ kg\\\\Total=19.7\ kg$

We know that they sent 1.25 kilograms to be recycled. Then, in order to calculate how many kilograms of trash they threw away, we must subtract the total kilograms of trash they cleaned up and the kilograms they sent to be recycled.

Then:

$19.7\ kg-1.25\ kg=18.45\ kg$ or $18\frac{9}{20}\ kg$

8 0

4 years ago

Read 2 more answers

Which expression is equivalent to 2(a + 2b) - a - 2b? A. 3a + 2b B. 3a - 2b C. a - 2b D. a + 2b

alex41 [277]

Answer:

a +2b

Step-by-step explanation:

2(a + 2b) - a - 2b

Distribute

2a +4b -a -2b

Combine like terms

2a -a + 4b-2b

a +2b

6 0

4 years ago

Read 2 more answers

The dimeter of the outer circle is

kumpel [21]

Answer:

Could you please show the circle ?

Step-by-step explanation:

5 0

3 years ago

The Chewy Candy Company is test marketing a new candy bar in Seoul and Manila.

Anon25 [30]

The first month in which the board will see the cumulative total number of candy bars sold in Manila exceeded the cumulative total in Seoul is of:

3rd month.

<h3>What are linear functions?</h3>

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients are defined as follows:

m is the slope, representing the rate of change.

b is the y-intercept, representing the initial value.

For the functions in this problem, the slope and the intercept are given as follows:

Slope: Monthly increase.

Intercept: amount sold by the end of the first month.

Taking the end of the first month as a parameter, the functions are defined as follows:

Seoul: S(m) = 40 + 60(m - 1).

Manila: M(m) = 20 + 80(m - 1).

Then Manila exceeds Seoul when:

M(m) > S(m)

20 + 80m - 80 > 40 + 60m - 60

20m > 40

m > 2.

2.1 for example is in the 3rd month, hence the 3rd month is the correct answer.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0

1 year ago