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
REY [17]
1 year ago
14

Need help with number 4. Verify algebratically if each function is even, odd, or neither

Mathematics
1 answer:
m_a_m_a [10]1 year ago
3 0

4. You have the following function:

f(x) = x^2 + 6

In order to determine if the prevous function is even, odd or neither, remind that you have odd and even function for the following cases:

f(-x) = f(x) even

f(-x) = -f(x) odd

Then, if you replace x by -x into f(x), you get:

f(-x) = (-x)^2 + 6

= x^2 + 6

= f(x)

Then, in this case f(-x) = f(x), hence, the function is even

You might be interested in
Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = π/ 2 ?
Aneli [31]
That answer was (B)................
3 0
3 years ago
A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex
Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general  equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

I=P*r*t

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

x+y=50000

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

x+y=50000\\12500+y=50000\\y=50000-12500=37500

Therefore, the loan at 8% is $37500

5 0
3 years ago
Calculate the area of the square shown below (HARD)
sergey [27]
Check the picture below.

recall that in a square, all sides are equal, so if we make b = a, then we get that for one side, also recall that the area of a rectangle is length*width, so in this case,

\bf \stackrel{\textit{area of the square}}{\stackrel{length}{5\sqrt{2}}\cdot \stackrel{width}{5\sqrt{2}}}\implies 25(\sqrt{2})^2\implies 25\cdot 2\implies 50

7 0
3 years ago
Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. What were his monthly installment payments to
Lady_Fox [76]

<em>Answer: </em>

<em>A = $7,350.00</em>

<em></em>

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

<em>Equation:</em>

<em>A = P(1 + rt)</em>

<em>First, converting R percent to r a decimal</em>

<em>r = R/100 = 9%/100 = 0.09 per year.</em>

<em>Putting time into years for simplicity,</em>

<em>30 months / 12 months/year = 2.5 years.</em>

<em></em>

<em></em>

<em>Solving our equation:</em>

<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>

<em>A = $7,350.00</em>

<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>

<em>* Therefor, the answer is $7,350.00.</em>

<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>

7 0
3 years ago
Is this statement true?
lara [203]

Answer:

yes and no,depends.

parrallel cant make any angles exept 180-straight line angle.

5 0
2 years ago
Other questions:
  • Which is heavier 9 5/8 pounds or 9 3/4 pounds
    9·1 answer
  • Math question down below
    8·1 answer
  • Half a number increased by seven is -2 find the number.
    13·1 answer
  • Question: Evaluate the variable expression for x = 5, and enter your answer in the box
    13·1 answer
  • 34, 41, 25, 43, ? : mean of 38
    11·2 answers
  • Johan always wears a shirt, pants, socks, and shoes. He owns 20 pairs of socks, 5 pairs of shoes, 10 pairs of pants, and 8 shirt
    12·2 answers
  • Please answer this correctly
    11·1 answer
  • Need help with this- Precalculus
    10·1 answer
  • Inclues all numbers between -1 and 4 including -1 but not including 4
    9·1 answer
  • Juan is making a delivery to a store. The total trip will be 450 miles. He is driving at a constant rate of 60 miles per hour. H
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!