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dangina [55]
3 years ago
10

For all functions of the form f(x) = ax^2 + bx + c, which is true when b=0

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

The y-intercept will always be the vertex of the function.

Step-by-step explanation:

The functions with the following form f(x) = ax^2 + bx + c are quadratic equations and have a parabolic form, which means the have a vertex. The x coordinate of the vertex is given by the following expression x = \frac{-b}{2*a}. When b is equal to zero, the vertex of the function will always be the y-intercept, therefore the correct answer is the third one.

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Joshua had $415.29. He got $175 for his birthday and spent $59.99 on a video game. How much money will he be able to deposit int
babunello [35]

Answer:

530.30

Step-by-step explanation:

The equation would be m=415.29 + 175 - 59.99.

When you solve the equation, the answer is 530.3.

4 0
3 years ago
HELP PLSSSSS
ludmilkaskok [199]

Answer:

a=21

AB=23.9

BC=19.5

CD=(23.9)

AD=19.5

Step-by-step explanation:

Each pair of parallel sides are equal in a parallelogram. Sense both pairs use the same variable we can just choose the easiest to solve which would be:

a-1.5=19.5

add 1.5 to both sides

a=21

now substitute 21 in for a in each equation.

AB=CD so

AB=23.9

BC=AD so

BC=19.5

CD=(21)+2.9 so

CD=(23.9)

AD is given so

AD=19.5

4 0
2 years ago
A culture started with 2000 bacteria after 5 hours it grew to 2600
Jobisdone [24]
P(t) = P₀ e^(kt) 

<span>Where P₀ is the initial population, </span>
<span>P(t) is the population after "t" time. </span>
<span>t is your rate (can be hours, days, years, etc. in this case, hours) </span>
<span>k is the growth constant for this particular problem. </span>

<span>So using the information given, solve for k: </span>

<span>P₀ = 2000 </span>
<span>P(4) = 2600 </span>

<span>P(t) = P₀ e^(kt) </span>
<span>2600 = 2000e^(k * 4) </span>
<span>1.3 = e^(4k) </span>

<span>Natural log of both sides: </span>

<span>ln(1.3) = 4k </span>
<span>k = ln(1.3) / 4 </span>

<span>Now that we have a value for "k", use that, the same P₀, then solve for P(17): </span>

<span>P(t) = P₀ e^(kt) </span>
<span>P(17) = 2000 e^(17ln(1.3) / 4) </span>

<span>Using a calculator to get ln(1.3) then to simplify from there, we get: </span>

<span>P(17) ≈ 2000 e^(17 * 0.262364 / 4) </span>
<span>P(17) ≈ 2000 e^(4.460188 / 4) </span>
<span>P(17) ≈ 2000 e^(1.115047) </span>
<span>P(17) ≈ 2000 * 3.0497 </span>
<span>P(17) ≈ 6099.4 </span>

<span>Rounded to the nearest unit: </span>

<span>P(17) ≈ 6099 bacteria  hope i could help =)))</span>
3 0
3 years ago
A china shop receives a shipment of 125 dishes in 5 boxes at this rate how many students will receive in 15 boxes
Tresset [83]

Answer:

375

Step-by-step explanation:

first, 125 divide 5 equals to 25

second, 25 dishes in each box, so 15 multiply 25 equals to 375

8 0
3 years ago
A person invests 5000 dollars in a bank. The bank pays 4.25% interest compounded quarterly. To the nearest tenth of a year, how
WITCHER [35]

Answer:

Step-by-step explanation:

3 0
3 years ago
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