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
12345 [234]
3 years ago
10

Thx u help now ok yeah

Mathematics
1 answer:
balu736 [363]3 years ago
5 0

To find the equation of the parabola, first let's write the parent function,

y = a(x-h)^2+k. Ok, now we need to find the vertex and plug it in. Remember, (h,k). When we look at the problem the vertex is (0,4). Therefore we write it as y = a(x-0)^2 +4 or y = ax^2 + 4. Now we need to look to see if it was stretched or compressed. Keep in mind that on a normal parabola, if you move over 1 you go up one. If you move over 2 you go up four. If you move over 3, you go up 9. In this problem, you move over 1, you go up 1. If you move over 2, you go up 4. If you move over 3, you go up 9. From this information, we see that there is no stretch or compression. Therefore the equation of the graph shown is:

y= x^2 +4

You might be interested in
Simplify this expression<br> 12a+7x-3a-2x
kherson [118]

Answer:  9a+5x

Step-by-step explanation:

12a+7x-3a-2x=12a-3a+7x-2x=9a+5x

8 0
4 years ago
Read 2 more answers
A bacteria culture starts with 880 bacteria and grows at a rate proportional to its size. after 5 hours there will be 4400 bacte
Alina [70]
Don't know whether or not you've encountered differential equations yet, but will try that approach here.

The growth rate is dy/dt  = ky (which states that the rate is proportional to the size of the population, y, and k is a constant.

Grouping like terms,  

dy
--- = kt, so y = Ne^kt
 y

We are told that at t=0, there are 880 bacteria.  Thus, 880=N.  Therefore,

y = 880e^(kt).  After 5 hours the pop will be 4400; using this info, find k:

4400=880e^(5k), or 5 = e^(5k).    So, our y = 880e^(kt) becomes

                                                                   y = 880e^(5t).

What will be the pop after 2 hours?           y(2)=880e^(10) = 880(22026) =
                                                                   approx. 19,383,290 bacteria

Time to reach a pop of 2550?  2550 = 880e^(5t).  Find t.

ln 2550 = ln 880 + 5t, so ln 2550 - ln 880 = 5t.  Divide both sides by 5 to obtain this time, t.
8 0
3 years ago
Which inequality is true 1.5 &gt; 2 1/2, 1/2 &gt; 0.5, -2.5 &gt; -1.5, -3 1/2 &gt; - 4.5
yawa3891 [41]

Answer: D

Step-by-step explanation:

(A. 1.5 > 2 1/2

(B. 1/2 > 0.5

(C. -2.5 > -1.5

(D. -3 1/2 > - 4.5

Step 1: Convert everything to decimals or fractions so its easier to see and make it less likely to get the question wrong

Method #1: Fractions

1.5= 1 1/2

0.5= 1/2

-2.5= - 2 1/2

-1.5= - 1 1/2

-4.5= -4 1/2

Now we have:

(A. 1 1/2 > 2 1/2 --> This is wrong because 1 1/2 is supposed to be less than 2 1/2.

(B. 1/2 > 1/2 This is also wrong. 1/2 is equal to 1/2; they are obviously the same.

(C. -2 1/2 > -1 1/2 This is wrong because, in negative numbers, its sort of backwards. For example, -2 is actually less than -1 because its farther away from 0. But if they were normal positive numbers, 2 would be bigger. But here, -2 1/2 is less than -1 1/2.

(D. -3 1/2 > - 4 1/2 This is correct. -3 1/2 is closer to 0 than -4 1/2, so it has to be bigger.

Solving the problem this way gets me to: Answer= D

Method #2: Decimals (remember: same numbers, different way of writing them!!!)

(A. 1.5 > 2.5 False. 1.5 is less than 2.5

(B. 0.5 > 0.5 False. 0.5 is equal to 0.5

(C. -2.5 > -1.5 False. -2.5 is farther away from 0 so its actually smaller.

(D. -3.5 > - 4.5 True. -3.5 is closer to 0.

Doing it this way also leads me to Answer= D.

Hope this helps :)) Also can i please have brainiest? I worked pretty hard on this :D

6 0
2 years ago
Read 2 more answers
How many possible birth orders with respect to gender are possible in a family with four children? (For example, BBGG &amp; GGBG
Nina [5.8K]
4 P 4 = 24 
4 P 4 = 4! (4-4)! = 4!/1 = 4*3*2*1
you are doing combinatorics, yes?
6 0
3 years ago
Solve for the value of the expression 4a^4 − 2b^2 + 40 when a = 2 and b = 7.
Whitepunk [10]
4(2)^4 -2(7)^2 + 40 4*16 - 2*14 +40 64 - 28 + 60 96 ans
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of a triangle DEF?
    8·1 answer
  • .
    14·2 answers
  • A six grade student brought three cans of tennis balls for four dollars each sales tax for all three cans was $.95 write an expr
    7·1 answer
  • The picture below shows the size of the patio in mandis backyard 4yd 7yd 4yd 3yd 5yd 3yd 3yd 13yd
    9·1 answer
  • How many times do you need to divide 3055.9 by ten to get 30.559
    10·2 answers
  • During the past year, Piazza's Clothiers sold a certain sweater at different prices: $42.95, $36.50, $40.75, $38.25, and $43.25.
    6·1 answer
  • Sitting on a park bench you see a swing that is 100 feet away and a slide that is 60 feet away. The angle between them is 30 deg
    12·1 answer
  • It takes Steven 12.25 minutes to run 1.4 miles. At this rate. how long will it take him to run 2.6 miles?
    12·1 answer
  • ATTENTION I need this ASAP so if you could, please look at the photo. Also this is for 50 points.
    7·1 answer
  • Jennifer is a wedding planner. She set up five chairs at each table for the reception. If( t )represents the number of tables, w
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!