All categories

3 years ago

1.Solve the equation 2x^2+10x=0 . Check your solution(s) and state the final solution set.

1 answer:

3 0

2x^2 + 10x = 0

we can take out x from both terms and we get:
x(2x + 10) = 0

now either x has to be equal to 0 or 2x + 10 has to be equal to zero in order for equation to be equal to 0.

one solution is x=0 as stated above

other is:
2x + 10 = 0
2x = -10
x = -10/2 = -5

Answers are x=0 and x = -5.

You might be interested in

Solve= 10/8 = n/10 <br> Write your answer as an improper fraction in simplest form.

vekshin1

<h2>Answer:</h2>

$n=\frac{25}{2}$ .

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$\frac{10}{8} =\frac{n}{10}$

<h3>2. Solve the equation for n.</h3>

$\frac{10}{8} =\frac{n}{10}$

$10*(\frac{10}{8}) =(\frac{n}{10})*10$ ----> Multiply both sides by 10.

$10*(\frac{10}{8}) =n$ ----> Simplify.

$\frac{10*10}{8} =n$ ----> Solve the fraction product.

$\frac{100}{8} =n$ ----> Simplify.

$\frac{100/4}{8/4} =n$ ----> Simplify by dividing the numerator and denominator by the same number.

$\frac{25}{2} =n$ ----> Simplify.

$n=\frac{25}{2}$ ----> Reorganize.

<h3>3. Express your result.</h3>

$n=\frac{25}{2}$ .

<em>Note. </em><em>Check the attched image to see the manual solution of the equation. We took the same steps I explained previously in the manual solution.</em>

3 0

2 years ago

The formula for the perimeter of a rectangle is P=2(l+w). <br><br> Solve for w.

ale4655 [162]

Step-by-step explanation:

Consider the provided equation.

P=2(l+w)P=2(l+w)

We need to solve the equation for I.

Divide both the sides by 2.

{P}{2}=\frac{2(l+w)}{2}2P=22(l+w)

{P}{2}=l+w2P=l+w

Now isolate the variable I.

Subtract w from both side.

\{P}{2}-w=l+w-w2P−w=l+w−w

I{P}{2}-wI=2P−w

The value of the equation for I is I=\frac{P}{2}-wI=2P−w .

Idk but this might help o_o

6 0

3 years ago

Suppose a biological cell contains 400 genes. When treated radioactively the probability that

Anton [14]

Let $X\sim\mathrm{Bin}(400,0.006)$ be the random variable representing the number of genes that do get mutated. Here $\mathrm{Bin}(n,p)$ denotes a binomial distribution with parameters $n$ (total number of genes) and $p$ (probability of mutation).

Then the probability that *at most* 4 genes get mutated is

$\mathbb P(X\le4)=\displaystyle\sum_{x=0}^4\mathbb P(X=x)$

where

$\mathbb P(X=x)=\begin{cases}\dbinom{400}x0.006^x(1-0.006)^{400-x}&\text{for }x\in\{0,1,2,\ldots,400\}\\\\0&\text{otherwise}\end{cases}$

You should find that

$\mathbb P(X\le4)\approx0.9047$

8 0

3 years ago

Find the equation of the straight line passing through the points (-1,3) and (1,9).

Lena [83]

Answer:

The equation of the straight line is $y=3x+6$

Step-by-step explanation:

Any straight line passing through points $(a_1,b_1)$ and $(a_2,b_2)$ is given by:

$y-b_1=m(x-a_1)$ where m is defined as the slope of the line:

$m=\frac{b_2-b_1}{a_2-a_1}$

In the given question

$m=\frac{9-3}{1-(-1)} =3$

Substituting the values we get:

Reference: https://www.cuemath.com/geometry/equation-of-a-straight-line/

#SPJ2

6 0

2 years ago

Where should i put it and what does the question mean

Gekata [30.6K]

Answer:

-10

Step-by-step explanation:

it is asking you to graph the opposite of 10. The opposite of any number is just the same number put negative. So you would click on -10 as the answer.

8 0

3 years ago

Read 2 more answers