All categories

3 years ago

If f(x) = 3x to the 2nd+ 1 and g(x) = 1-x, what is the value of (f-g)(2)?

1 answer:

3 0

$\displaystyle\\f(x)=3x^2+1\\g(x)=1-x\\\\(f-g)(x)=f(x)-g(x)=3x^2+1-(1-x)=3x^2+1-1+x=\boxed{3x^2+x}\\\\(f-g)(2)=f(2)-g(2)=3\cdot2^2+2=3\cdot4+2=12+2=\boxed{14}$

You might be interested in

Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5

fenix001 [56]

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

6 0

3 years ago

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the

gizmo_the_mogwai [7]

Answer:

Width = 6.5 inches

Length = 10.5 inches

Step-by-step explanation:

Let

"l" be length of rectangle

and

"w" be width of rectangle

Since length of rectangle is 4 inches MORE THAN WIDTH, we can write:

l = 4 + w

The perimeter is sum of all sides, so

Perimeter = l + l + w + w = 2l + 2w

The perimeter is 34, so we can write:

2l + 2w = 34

Putting 1st equation in 2nd, we get equation in "w" and solve for this first:

$2l + 2w = 34\\2(4+w) + 2w = 34\\8+2w+2w=34\\4w=26\\w=\frac{26}{4}=6.5$

Width is 6.5 in

Now, l = 4 + w, so

l = 4 + 6.5 = 10.5

Length is 10.5 in

3 0

4 years ago

The total temperature measured by 4 thermometers was −16 degrees Fahrenheit. What was the average temperature measured by the 4

Lana71 [14]

Answer:

Step-by-step explanation:

Well average means mean so we have to find the mean of the numbers in the data set. Our numbers are -12,12,-4, and finally 4. When we add all of them up we get 0 and we have to divide 0 by the 4 thermoters and your answer is 0. if this is confusing just leave a comment and ill try to explain better

7 0

4 years ago

Read 2 more answers

3,053/2,8<br> Alguien me ayuda porfavor?<br> Pero con el proceso porfa

PtichkaEL [24]

Answer:

1.09

Step-by-step explanation:

Check the photo

6 0

3 years ago

Fizzbos sells only sandwiches. They offer five choices of bread, five types of meat toppings, four types of cheese and eight veg

sineoko [7]

Answer:

<em>800 possible combinations</em>

Step-by-step explanation:

We can reach the answer by simple logic reasoning. Knowing Fizzbos' sandwiches have one type of bread, one meat, one type of cheese and one vegetable for their sandwiches, we can find the possible combinations like this:

We have 5 choices of bread, there are, of course, 5 different kinds of sandwiches to offer.

We also know there are 5 types of meat toppings which, combined with the 5 possible choices we already have, will make

5*5 possible combinations

Now we consider the 4 types of cheese combined with our previous kinds of sandwiches to get

5*5*4 possible combinations

Finally, we have 8 vegetable toppings, making our final result

5*5*4*8 = 800 possible combinations

5 0

4 years ago