1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slava [35]
2 years ago
5

Solve the quadratic equation. 3x^2 - 5= 70 (Please explain steps)

Mathematics
2 answers:
Svet_ta [14]2 years ago
5 0
Simplifying
3x2 + -5 = 70

Reorder the terms:
-5 + 3x2 = 70
Solving
-5 + 3x2 = 70

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 3x2 = 70 + 5

Combine like terms: -5 + 5 = 0
0 + 3x2 = 70 + 5
3x2 = 70 + 5

Combine like terms: 70 + 5 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5} and that’s it.
pickupchik [31]2 years ago
3 0
1.Change the minus sign into a positive
2.add five to both sides
3.do 3 to the 2nd power
4. Divide the two numbers (the one with the variable and the number u got when u added five to it)
You might be interested in
The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.
evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}

b) P(population with IQ between 120 and 125.)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%

P(120 \leq x \leq 125) = 4.4\%

6 0
2 years ago
Solve x^2 - x - 5/2 = 0 using the quadratic formula.
Soloha48 [4]
Using the quadratic formula, we have:

\frac{1+- \sqrt{11} }{2}, so our solutions are \frac{1+ \sqrt{11} }{2} and \frac{1- \sqrt{11} }{2}.
5 0
3 years ago
If the measure of an angle is 78 less than the measure of its compliment, what is the measure of the angle?
aliina [53]
Complementary angles add up to 90'
So let X= angle 1
         Y=angle 2
So x+y=90
let x=y-78
so(y-78)+y=90
y-78+y=90
2y-78=90
2y=90+78
2y=168
y=168/2
y=84
x=y-78
so x=84-78
x=6
And 6+84=90
So the measure of the angle is 6 degrees.
Hope i helped!


6 0
3 years ago
Read 2 more answers
Josh and Lucy share some money in the ratio 3:7. What fraction of the money does Josh receive?
svetlana [45]

Answer:

3/10ths of the money

Step-by-step explanation:

Add together the two numbers to get the total.

Josh gets 30 percent and Lucy gets 70 percent.

3/10

8 0
3 years ago
Read 2 more answers
B(x)=x+4, what is b(-10)
vovikov84 [41]

Answer:

B(-10)=-6

Step-by-step explanation:

we have

B(x)=x+4

we know that

B(-10) is the value of the function B(x) for the value of x=-10

so

substitute the value of x=-10 in the function

B(-10)=-10+4=-6

therefore

B(-10)=-6

8 0
2 years ago
Other questions:
  • The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation o
    10·1 answer
  • Simplify <br> sin x/sec x+1
    8·1 answer
  • You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
    13·1 answer
  • Write the negation of the statement. No men can join a sorority
    11·1 answer
  • Bruce has a red that is 21 feet long he needs to cut the rope into 1/5 foot long strips how many strips can prescribe from his r
    11·1 answer
  • Translate the algebraic expression to a verbal expression: 3 + 1/2x
    14·1 answer
  • Suppose an isosceles triangle ABC has A=30 and b=c=5. what is length of a squared
    12·1 answer
  • What does point A represent in this box plot?
    10·1 answer
  • I nned hellp <br> 10m = ? m
    13·1 answer
  • Please help and ill mark brainliest!!! A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!