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3 years ago

11

In one minute, Evan can do nine less than four times the number of push-ups that Lucy can do. if they did 61 push-ups did Evan d

o than Lucy

1 answer:

Charra [1.4K]3 years ago

4 0

Are you sure you wrote the whole question because I think something is wrong

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Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

which is true

8 0

3 years ago

Which relation is a function?

sergejj [24]

To determine which relation is a function, we can perform something called the vertical line test. We cover the graph in repeating vertical lines and if one vertical line connects with more than one point of the relation, the relation is not a function.

The relation in the bottom right corner is the only relation that passes the vertical line test.

7 0

2 years ago

Select all values of x that make the inequality true -x+6> 10 true .

Rufina [12.5K]

Answer:

<em>C. -4.01</em>

<em>H. -7</em>

Step-by-step explanation:

<u>Solving inequalities:</u>

We have a set of numbers to verify which ones of them make the below inequality true

$-x+6>10$

Rearrange

$-10+6>x$

Operating

$-4>x$

Flipping

$x$

The set of solutions contains every number less than -4

There are only two numbers less than -4 in the set of options:

C. -4.01

H. -7

4 0

2 years ago

Read 2 more answers

Yi Min is a pitcher on her softball team. This season,

almond37 [142]

Answer:

48

Step-by-step explanation:

0.8 times 60= 48

4 0

3 years ago

The mean of 5,7,9 show that the mean of these numbers is 7

olasank [31]

Answer: 7

Step-by-step explanation:

5+7+9=21

3 total numbers to start with so;

21/3=7

3 0

2 years ago