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2 years ago

Can the sum of two mixed numbers be equal to 2? Explain why or why not. plz help fast

2 answers:

8 0

Yes. The algebraic sum of a negative mixed number and other mixed number.
-1 1/3 + x = 2
x= 2 + 1 1/3 

x = 3 1/3 

So, the algebraic sum: (-1 1/3) + 3 1/3 = 2

dedylja [7]2 years ago

6 0

Let x and y be two positive mixed numbers. So,

x > 1 and y > 1

Therefore,

x + y > 1 + 1

x + y > 2

x + y can't be equal to 2, since the sum of both of them is always greater than 2.

I hope this helps. =)

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rewrite f(x)=x^2+8x-20 in the form that would most easily help you identify the zeros of the function

Snowcat [4.5K]

Answer:

f(x) = (x-2) (x+10)

Step-by-step explanation:

f(x)=x^2+8x-20

Factor the right hand side

What 2 numbers multiply to -20 and add to 8

-2 * 10 = -20

-2 + 10 = 8

f(x) = (x-2) (x+10)

Then we can use the zero product property to help us to find the zero's

8 0

2 years ago

Read 2 more answers

Solve the linear programming problem.

larisa [96]

Answer:

1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64

2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21

Step-by-step explanation:

1. Maximize: P = 4x +4y

Subject to: 2x + y ≤ 20

x + 2y ≤ 16

x, y ≥ 0

Plot the constraints and the objective function Z, or P=4x+4y)

Push the objective function to the limit permitted by the feasible region to find the maximum.

Answer: Objective function is a maximum at (16,0),

Z = 4x+4y = 4(16) + 4(0) = 64

2. Maximize P = 3x + 2y

Subject to x + y ≤ 8

2x + y ≤ 13

x ≥ 0, y ≥ 0

Plot the constraints and the objective function Z, or P=3x+2y.

Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.

Answer: Objective function is at a maximum at (5,3),

Z = 3x+2y = 3(5)+2(3) = 21

7 0

2 years ago

Constance wants to purchase an school jacket. She saw the same jacket at a few stores. Store A had the jacket for 15% off the or

soldi70 [24.7K]

Store A will be the better buy.

The price will be $53.70 after sales tax at store A.

Step-by-step explanation:

Price of Jacket at store A = $59.60

Discount = 15%

Discount Amount = $\frac{15}{100}*59.60\\$

Discount Amount = $0.15*59.60=\$8.94$

Price after discount = Original price - Discount amount

Price after discount = 59.60 - 8.94 = $50.66

Price of Jacket at store B = $50.99

The price at store A becomes less than store B after discount, therefore, buying from store A is better.

Sales tax = 6%

Sales tax amount = $\frac{6}{100}*50.66$

Sales tax amount = $0.06*50.66=\$3.0396$

Price after sales tax = Discount price at store A + Sales tax amount

Price after sales tax = 50.66 + 3.0396 = $53.6996

Rounding off to nearest hundredth;

Price after sales tax = $53.70

The price will be $53.70 after sales tax at store A.

Keywords: percentage, addition

Learn more about percentages at:

#LearnwithBrainly

8 0

2 years ago

What is the degree of the monomaniacal 4x7y3

NeTakaya

The degree is 10 because you had the exponents 7 + 3

6 0

3 years ago

A zealous geologist is sponsoring a contest in which entrants have to guess the age of a shiny rock. He offers these clues: the

nataly862011 [7]

Answer:

The total number of possibilities are 60.

Step-by-step explanation:

Given:

There are 6 digits and 3,7,9 are odd ones.

To Find:

How many possibilities are there for the rock's age

Solution:

Here condition is that number should start with odd digit

so there 3 number only as odd(3,7,9)

So it leaves 3 repeating numbers i.e.2

So permutation of 5 numbers with 3 odd numbers

So possible arrangement will be

nPr

n=5 ,r=3

So 5P3=5!/3!

And finally for all possibilities as

=3*(5!/3!)

=3*(20)

=60

3 0

2 years ago