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
vazorg [7]
3 years ago
13

Please help me!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Reika [66]3 years ago
7 0
First, we can factor out a 2 from the equation:

2(x²-4x-12)=0

Divide by 2 to simplify

x²-4x-12=0

Now to factor, we must find what multiplies to -12, but adds to get -4. I can tell you know, the numbers are -6 and 2 (Through time you will learn to get faster with factoring)

Now we set it up as so:

(x-6)(x+2) = 0

Now to find the solutions, you must find how to get each set of parenthesis equal to 0.
x-6=0
x=6 is a solution

x+2=0
x=-2 is a solution as well.

So your answer is x=6 and -2 (Answer Choice C)

I Hope this Helps!
-Sinnamin

You might be interested in
The function c = 100 + 0.30m represents the cost c (in dollars) of renting a car after driving m miles. What would the cost be t
aleksley [76]

Answer:

c = $130

Step-by-step explanation:

Given:

c = 100 + 0.30m

Where,

c = cost of renting a car (in dollars)

m = number of miles driven (in miles)

If m = 100 miles

c = 100 + 0.30m

= 100 + 0.30(100)

= 100 + 30

= 130

c = $130

7 0
3 years ago
The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the fir
xxMikexx [17]

Answer:

common difference is 0.5

first term is 5

Step-by-step explanation:

<em>use </em><em>the </em><em>formula</em><em> for</em><em> </em><em>the</em><em> </em><em>nth </em><em>term </em><em>of </em><em>an </em><em>ap </em><em>Tn=</em><em>a+</em><em>(</em><em>n-1)</em><em>d</em>

<em>T12=</em><em>1</em><em>0</em><em>.</em><em>5</em>

<em>T18=</em><em>1</em><em>3</em><em>.</em><em>5</em>

<em>therefore</em><em> </em><em>come </em><em>up </em><em>with </em><em>two </em><em>equations</em>

<em>T12=</em><em>a+</em><em>(</em><em>1</em><em>2</em><em>-</em><em>1</em><em>)</em><em>d</em>

<em>1</em><em>0</em><em>.</em><em>5</em><em>=</em><em>a+</em><em>1</em><em>1</em><em>d</em><em>(</em><em>1</em><em>s</em><em>t</em><em> </em><em>equation</em><em>)</em>

<em>T18</em><em>=</em><em>a+</em><em>(</em><em>1</em><em>8</em><em>-</em><em>1</em><em>)</em><em>d</em>

<em>1</em><em>3</em><em>.</em><em>5</em><em>=</em><em>a+</em><em>1</em><em>7</em><em>d</em><em>(</em><em>2</em><em>n</em><em>d</em><em> </em><em>equation</em><em>)</em>

<em>then </em><em>solve </em><em>both </em><em>as </em><em>a </em><em>simultaneous</em><em> </em><em>equation</em>

<em>a+</em><em>1</em><em>1</em><em>d</em><em>=</em><em>1</em><em>0</em><em>.</em><em>5</em>

<em>a+</em><em>1</em><em>7</em><em>d</em><em>=</em><em>1</em><em>3</em><em>.</em><em>5</em>

<em> </em><em> </em><em> </em><em> </em><em>-6d/</em><em>-</em><em>6</em><em>=</em><em>-</em><em>3</em><em>/</em><em>-</em><em>6</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>d=</em><em>0</em><em>.</em><em>5</em>

<em>use </em><em>one </em><em>of</em><em> the</em><em> </em><em>equations</em><em> </em><em>to </em><em>find </em><em>the </em><em>first</em><em> </em><em>term</em>

<em>a+</em><em>1</em><em>1</em><em>(</em><em>0</em><em>.</em><em>5</em><em>)</em><em>=</em><em>1</em><em>0</em><em>.</em><em>5</em>

<em>a+</em><em>5</em><em>.</em><em>5</em><em>=</em><em>1</em><em>0</em><em>.</em><em>5</em>

<em>a=</em><em>1</em><em>0</em><em>.</em><em>5</em><em>-</em><em>5</em><em>.</em><em>5</em>

<em>a=</em><em>5</em>

<em>I </em><em>hope </em><em>this </em><em>helps</em>

<em>please </em><em>mark</em><em> </em><em>as </em><em>brainliest</em>

7 0
3 years ago
Graph h(t)=-2(t+5)^2+3, find h(-8)
NARA [144]

Answer:

h(-8)=-15

Step-by-step explanation:

Substitute t=-8

h(-8) =-2(-8+5)^2+3

       =-2(-3)^2+3

       =-2(9)+3

       =-18+3

       =-15

8 0
3 years ago
Read 2 more answers
Daniel Potter bought a new car for $20,000.00. Two years later, he wanted to sell it. He was offered $14,650.00 for it. If he so
olga_2 [115]
Answer: 13.375% per year

Explanation:

1) Depreciation is the loss of value: $ 20,000.00 - $ 14,650.00 = $ 5,350

2) The percent of depreciation is amount of the depreciation divided by the value of the car when purchased, times 100.

That is (5,350 / $ 20,000) * 100 = 26.75 %

2) The rate is percent of depreciation per year:

depreciation rate = % of depreciation / number of years = 26.75%  / 2 = 13.375% per year.
5 0
3 years ago
Read 2 more answers
A professor receives, on average, 24.7 emails from students the day before the midterm exam. To compute the probability of recei
MaRussiya [10]

Answer:

Let X the random variable that represent the number of emails from students the day before the midterm exam. For this case the best distribution for the random variable X is X \sim Poisson(\lambda=24.7)

The probability mass function for the random variable is given by:

f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...

The best answer for this case would be:

C. Poisson distribution

Step-by-step explanation:

Let X the random variable that represent the number of emails from students the day before the midterm exam. For this case the best distribution for the random variable X is X \sim Poisson(\lambda=24.7)

The probability mass function for the random variable is given by:

f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...

And f(x)=0 for other case.

For this distribution the expected value is the same parameter \lambda

E(X)=\mu =\lambda

And for this case we want to calculate this probability:

P(X \geq 10)

The best answer for this case would be:

C. Poisson distribution

5 0
3 years ago
Read 2 more answers
Other questions:
  • How do you do this? Why's the answer??
    8·2 answers
  • Write the equation of the line in point-slope form that passes through (1, -4) and has a slope of 1/4
    7·1 answer
  • Eddie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has three equal parts that are y
    8·1 answer
  • HELP ME PLEASE!!!!!!!!!
    14·1 answer
  • Rational numbers as a decimal -3 13/11
    14·2 answers
  • Find the scale factor of a cube with volume 216ft to a cube with volume 1000ft
    5·1 answer
  • You invest money at 6% interest compounded annually for 3 years. If the future value of your investment is $1800, how much money
    14·1 answer
  • Which procedure would you use to convert a fraction to a​ decimal? Convert <br> 2/5 to a decimal.
    15·2 answers
  • Which expressions have value between 1 and 2? choose all that apply.
    5·1 answer
  • Andrew has 3 1/6 rows of plants left to water. If Andrew has 9/10 gallons of water in his bucket, how many gallons of water can
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!