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
nikklg [1K]
3 years ago
8

use the quadratic formula to solve the equation. If necessary, round the nearest hundredth. 2a^2-30a+108=0

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0
We know that

the formula to solve the quadratic equation is
x={-b(+/-)√[b²-4ac]}/2a

we have 
2a²<span>-30a+108=0
where
a=2
b=-30
c=108

</span>x={30(+/-)√[30²-4*2*108]}/(2*2)
x={30(+/-)√[36]}/(4)
x={30(+/-)6}/(4)
x1=(30+6)/4----> 36/4----> 9
x2=(30-6)/4----> 24/4---->  6

the answer is
the values of a are
a1=9
a2=6

You might be interested in
HELP MEH PLEASEEEEEEEEE
Licemer1 [7]

Answer: A matches with Graph 4, B matches with Graph 3, C matches with Graph 1, and D matches with Graph 2.

3 0
3 years ago
Tristan bought a orange that weighed 1/5 pound. He cut the orange into 8 slices. How much does each orange slice weigh
Vaselesa [24]

Answer:

one ounce

Step-by-step explanation:

a full pound is equal to 16 ounces so half a pound is equal to 8 ounces if you cut it into 8 separate pieces each piece would weigh 1 ounce

4 0
4 years ago
You are making costumes for the school play. Each costume needs a piece of ribbon that is 58 yard long. How many yards of ribbon
Ivenika [448]
Each costume needs 58 yards of ribbon and since you have 24 costumes, you need to multiply both of them.

58×24=1392
8 0
4 years ago
(PLS HELP &lt;3)
tekilochka [14]

Answer:

1.17 dollars!

Step-by-step explanation:

We are given the equation c=1.17s

To break it down, it means that the cost in dollars=1.17 times amount of songs.

Lets plug in 1 for s.

1.17*1=1.17!

For one song, it will cost 1.17 dollars !

5 0
2 years ago
Read 2 more answers
solve the problem related to population growth.A city had a population of 23,900 in 2007 and a population of 25,100 in 2012.(a)
Finger [1]

Solution

a)

To find the exponential growth function, we apply the exponential growth formula which is

N(t)=a(1+k)^t

Where

\begin{gathered} a\text{ is the }initial\text{ population} \\ k\text{ is the growth rate} \\ t\text{ is the number of time intervals} \end{gathered}

Given that

\begin{gathered} a=23,900 \\ N(5)=25,100 \\ t=2012-2007=5 \end{gathered}

Substitute the variables into the exponential growth formula

\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}

Hence, the exponential growth function is

\begin{gathered} N(t)=23900(1+0.00984)^t_{} \\ N(t)=23900(1.00984)^t \end{gathered}

Hence, the exponential growth function is

N(t)=23900(1.00984)^t

b)

For the population of the city in 2022,

\begin{gathered} t=2022-2007=15 \\ t=15 \end{gathered}

Substitute for t into the exponential growth function

\begin{gathered} N(t)=23900(1.00984)^t \\ N(15)=23900(1.00984)^{15} \\ N(15)=27700\text{ (nearest hundred)} \end{gathered}

Hence, the population is 2022 is 27700 (nearest hundred)

8 0
1 year ago
Other questions:
  • Which of the following would most likely measure about 4 meters ?
    5·1 answer
  • I can't get the. right answer someone please help
    9·1 answer
  • 4. Lee wanted to buy his mother flowers for Mother's Day. He bought 8
    14·1 answer
  • Given that 6 &gt; –2, which statements are true? Check all that apply.
    5·2 answers
  • Help!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
  • Writing Linear Equations. <br> help is needed
    7·2 answers
  • Max and Ualan are musicians on a 101010-city tour together. Before each concert, a market researcher asks 333 people which music
    8·1 answer
  • 5^2 + [15-4(3 1/5)] -15.4<br> And you have to show your work Bc the dang teacher is strict
    13·1 answer
  • I NEED HELP PLEASE FOR FINALS <br> What is f(4) for the function f(x) = 3x + 5?
    11·1 answer
  • What’s the length of three pieces of pipe if they all equal 72m
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!