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3 years ago

Prove the equation 2x^2 + y^2 = 14 has no positive integer solutions.

1 answer:

5 0

Solving for y, <span>y=±<span><span>14−2<span>x2</span></span><span>−−−−−−−</span>√</span></span><span> for y to be a positive integer, (14-2x^2) must be a perfect square. Any positive integer values chosen for x will not yield a perfect square</span>

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1. Find the lengths of the sides of each triangle.

fredd [130]

Answer:

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4 0

2 years ago

Heather has divided $5900 between two investments, one paying 9%, the other paying 4%. if the return on her investment is $3

Leni [432]

Heather invested $2,200 at 9% and invested $3,700 at 4%

What represents the amount invested in each asset?

The amount invested at 9% can be represented as x whereas the balance invested at 4% is (5900-x), as a result, the interest earned on each is computed thus:

Interest 9%=x*9%

interest at 9%=0.09x

Interest at 4%=(5900-x)*4%

interest at 4%=236-0.04x

Total interest=0.09x+236-0.04x

total interest=0.05x+236

Total interest earned=346

346=0.05x+236

346-236=0.05x

110=0.05x

x=110/0.05

x=$2,200(invested at 9%)

amount invested at 4%=5900-2200

amount invested at 4%=$3,700

Find out more about simple interest on:brainly.com/question/14214349

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3 0

1 year ago

Find the slope of the line passing through the points (-2,5) and (3/2, 2).

sveticcg [70]

Answer:

The answer is

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

<h3> $m = \frac{2 - 5}{ \frac{3}{2} + 2} \\ = - \frac{3}{ \frac{7}{2} } \\ = - 3 \div \frac{7}{2} \\ = - 3 \times \frac{2}{7}$ </h3>

We have the final answer as

Hope this helps you

8 0

3 years ago

PLEASE HELP! The table shows the number of cans of soup shipped in different numbers of boxes.

mel-nik [20]

The equation that expresses the relationship between the number of boxes, b and the number or cans, c would be c = 48b. This is because the number or cans shipped would be the dependent variable to the problem as it is dependent on the number or boxes that ship along with. So if one ships 2 boxes then the number of cans that would be shipped would need to match the final output of cans which is 96, and using the equation, c = 49b it does.

c = 48b
96 = 48(2)
96 = 96.

Technically the first option will also be correct but usually the variable in an algebraic expression comes after the coefficient.

5 0

3 years ago

Read 2 more answers

If U = { 1 , 2 , 3 , 4 , 5 ,6 , 7 , 8 , 9 }. A={1 , 2 , 3 , 4 } , B= {2 , 4 , 6 , 8 } .Find

Zina [86]

Answer:

(A - B)' = {2, 4, 5, 6, 7, 8, 9}

(A n B) = {2, 4}

Step-by-step explanation:

Given the set :

U = { 1 , 2 , 3 , 4 , 5 ,6 , 7 , 8 , 9 }

A={1 , 2 , 3 , 4 } , B= {2 , 4 , 6 , 8 }

(A - B) = elements of A which are not in B

(A - B) = {1, 3}

(A - B)' = the complement of A - B ; element in the universal set which are not in A - B

(A - B)' = {2, 4, 5, 6, 7, 8, 9}

(A n B) = elements in both set A and set B

(A n B) = {2, 4}

4 0

3 years ago