All categories

3 years ago

What are the zeros of the function f(x) = 10x2 + 9x + 2?

Mathematics

1 answer:

Gnom [1K]3 years ago

8 0

Answer:

x = -4/5 and -1/2

Step-by-step explanation:

"Finding zeroes" means find the x-values that make f(x) = 0, so we have...

0 = 10x² + 9x + 2

Use quadratic equation to solve...

x = [-9 ± √(9² - 4(10)(2))]/[2(10)]

x = [-9 ± √(81 - 80)]/20

x = [-9 ± √1]/20

x = [-9 ± 1]/20

x = (-9 + 1)/20 and (-9 - 1)/20

x = -8/20 and -10/20

x = -4/5 and -1/2

You might be interested in

I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fil

RSB [31]

Answer:

$72\pi\ in^{3}$

Step-by-step explanation:

step 1

Calculate the volume of the cylinder (flower vase)

The volume is equal to

$V=\pi r^{2}h$

we have

$r=6/2=3\ in$ -----> the radius is half the diameter

$h=12\ in$

substitute the values

$V=\pi (3)^{2}(12)=108\pi\ in^{3}$ ------> exact value

step 2

Calculate 2/3 of the volume

$V=(2/3)108\pi=72\pi\ in^{3}$

8 0

3 years ago

The people of Whoville were shopping like crazy to get their lists completed! one customer bought a wreath for $12 and seven orn

Bezzdna [24]

Answer: 6 dollars

Step-by-step explanation: since the total price is 54 dollars and we know the price of the wreath, we subtract the wreath from the total, leaving us with 42. Then we do 42 divided by 7 to get the price per ornament(which is too high to be reasonable in any universe), 6 dollars.

3 0

3 years ago

Read 2 more answers

Jana ran the first 3 and a half miles of a 5 mile race in 1 3rd of an hour. what was her average rate, in mph, for the first par

Lisa [10]

Answer:

always try to draw a diagram first

Step-by-step explanation:

Jana ran The first 3.5 miles in 1/3 of an hour. remember the problem tells us that we want our answer in miles per hour or mph. so we have to set up our problem so that our units match in the end. The diagram above shows 3.5 mi over 1/3 hour. so we must divide 3.5 miles by 1/3 hour

note:

$3 \frac{1}{2} mi = \frac{7mi}{2}$

therefore

$\frac{7mi}{2} \: \div \: \frac{1hr}{3} =$

$\frac{7mi}{2} \times \frac{3}{1hr} = \frac{21mi}{2hr} = 10 \frac{1}{2} \frac{mi}{hr}$

7 0

2 years ago

The profits of mr cash’s company is represented by the equation p(t)=-3t^2+18t-4, where p(t) is the amount of profit in hundreds

eduard

We have that

p(t)=-3t^2+18t-4

using a graphing tool, we can see the maximum of the graph
(see the attached figure)

A) In what year of operation does Mr. Cash’s business show maximum profit?

Mr. Cash’s business show maximum profit at year 3 (maximum in the parabole)

B) What is the maximum profit?

23 (hundred of thousand of dollars) = 2.300.000 dollars

c) What time will it be two late?

(This is the time when the graph crosses zero and the profits turn into losses )

5.77 years, or an estimate of about 69 months.

4 0

3 years ago

Use distributive law evaluate

Cerrena [4.2K]

Answer:

The distributive property allows you multiply a sum in parenthesis by multiplying each addend separately, then add the products.

Step-by-step explanation:

How to use the distributive law example.

2(x+4) = 16

To use the distributive law in this example multiply 3 by all terms in the parenthesis. Multiply 2 and x, then 2 and 4 to open the parenthesis.

2x+8=16

That is how you use the distributive law.

To continue solving, subtract 8 from both sides.

2x+8-8=16-8

2x=8

Divide 2 from both sides.

2x/2=8/2

x=4

Hope this helps!

If not, I am sorry.

6 0

2 years ago