All categories

1 year ago

If f ( x ) = 3x 2 - 6x + 2 and g ( x ) = 2x 2 + 2x - 11, then find f ( x ) + g ( x ).

Mathematics

1 answer:

nikitadnepr [17]1 year ago

6 0

Answer:

$5x^{2} -4x-9$

Step-by-step explanation:

f(x)+g(x)

$(3x^{2} -6x+2) + (2x^{2} +2x-11)\\3x^{2} -6x+2 + 2x^{2} +2x-11\\$
combine like terms --
$5x^{2} -4x-9$

You might be interested in

Can you help me please?

Fofino [41]

Answer: n=4,-4

Hope this helped

5 0

1 year ago

Read 2 more answers

Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a

likoan [24]

Answer:

$\text{Volume of cat box}=3.52\text{ ft}^3$

Step-by-step explanation:

We have been given that Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a height of 2 feet. We are asked to find the volume of the box.

Let us convert one and one tenth feet into decimal.

$1\frac{1}{10}=\frac{11}{10}=1.1$

Since the cat box is in form of cuboid, so its volume will be equal to the product of length, width and height as:

$\text{Volume of cat box}=1.10\text{ ft}\times 1.6\text{ ft}\times 2\text{ ft}$

$\text{Volume of cat box}=3.52\text{ ft}^3$

Therefore, the volume of the cat box is 3.53 cubic feet.

8 0

3 years ago

If m∠2 = 130°, what is m∠6?

slega [8]

Answer:

m<6 = 130°

Step-by-step explanation:

If m∠2 = 130°, what is m∠6?

Find the diagram attached

From the digram we can see that the vertical lines are parallel. Hence based on geometry;

m<2 = m<6 (corresponding angles)

Given m<2 = 130°, hence m<6 = 130°

8 0

2 years ago

An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator now

Llana [10]

To solve problems like this, we must simply break it down and read each part carefully. We can also set it up as a math problem to make it easier to visualize.

The elevator starts on the twentieth floor, so we will represent that with 20.

20

It goes down 11 floors, so we can represent that with a -11.

20-11=9

Now we are on floor 9. Then, we go up 5 floors, so we can represent that with a 5.

9+5=14

Using the math above, we can see the elevator is on the 14th floor.

6 0

3 years ago

Emily needs enough Fabric for 3 1/2 hats. Since she has half a hat done. If each bag requires 1 2/7 ft of Fabric, how much fabri

kow [346]

first off let's convert the mixed fractions to improper fractions.

$\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{2}{7}}\implies \cfrac{1\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{9}{7}}$

she already did half a hat, so we can say $\cfrac{7}{2}-\cfrac{1}{2}\implies \cfrac{7-1}{2}\implies 3$

so she only needs enough fabric to make 3 more full hats, we know each one uses 9/7 ft, so

$3\cdot \cfrac{9}{7}\implies \cfrac{27}{7}\implies 3\frac{6}{7}$

5 0

1 year ago