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3 years ago

The square of a positive number increased by twice the number equals three. Find the number

Mathematics

1 answer:

koban [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Let the number be x

x² + 2x = 3

x² + 2x - 3 = 0

Product = -3

Sum =2

Factors = 3 * (-1)

x² + 3x - x - 3 = 0

x*(x+3) - (x + 3) = 0

(x + 3)(x - 1) = 0

Ignore x + 3 because the number is a positive number

x - 1 = 0

x = 1

The number is 1

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SOMEONE HELP ME ASAP!

lord [1]

Answer:

(-3, 1)

The solution is the point at which both lines intersect.

This is the solution since both lines would have that point and only that ppoint in this type of problem. IN a graph where 2 lines are parralel, there is no solution as they never intersect . on a graph where the 2 lines overlap there is infinite solutions. FInally in a graph like this there is exactly one solution and it is the intersection of both lines

Step-by-step explanation:

6 0

2 years ago

A town doubles it’s size every 35 years if the population is currently 5,00, what will be the population be in 140 years?

Doss [256]

Answer:

8,000

Step-by-step explanation:

after 35 years 1000

after 70 2000

after 105 4000

qfter 140 8000

i might be wrong but hope this helped there is probs a faster way to do this tho.

5 0

3 years ago

Arianna gathered data about the distance of 20 cities from the equator and the average hours of sunlight per day in December for

stich3 [128]

Answer-

A. strong negative correlation.

Solution-

Direction of a relationship

Positive- If one variable increases, the other tends to also increase. If one decreases, the other tends to also. It is represented by positive numbers(i.e 0 to 1).
Negative- If one variable increases, the other tends to decrease, and vice-versa. It is represented by negative numbers(i.e 0 to -1)

Strength of a relationship

Perfect Relationship- When two variables are linearly related, the correlation coefficient is either 1 or -1. They are said to be perfectly linearly related, either positively or negatively.
No relationship- When two variables have no relationship at all, their correlation is 0.

As in this case, correlation coefficient was found to be -0.91, which is negative and close to -1, so it is a strong negative correlation.

5 0

3 years ago

A student solves the following equation for all possible values of x:

bekas [8.4K]

The correct answer is: 
C) his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

Explanation: 
To solve this rational equation, we cross multiply: 
8*(x-4)=2*(x+2).

Using the distributive property, we have 
8*x-8*4=2*x+2*2;
8x-32=2x+4.

Subtract 2x from each side: 
8x-32-2x=2x+4-2x;
6x-32=4.

Add 32 to each side: 
6x-32+32=4+32;
6x=36.

Divide both sides by 6:
 $\frac{6x}{6}$ = $\frac{36}{6}$ ;
x=6.

Extraneous solutions are solutions that come about in the problem but are not valid solutions to the problem; the only values of x that would give this sort of answer are -2 and 4, since these are the two values that would make one of the denominators 0 (we cannot divide by 0).

6 0

3 years ago

Read 2 more answers

What is 2 1/4 as a fraction

arlik [135]

I don’t know if that 2 and 1/4 or 21/4 so I’ll do both.
2 and 1/4 is = 9/4
21/4 is = 5 and 1/4

6 0

3 years ago

Read 2 more answers