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KatRina [158]
3 years ago
10

The graph of which function passes through (0,3) and has an amplitude of 3?

Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is not possible for exactly 24%
lora16 [44]
Let's start by calculating how many students does 24% represent.
24% * 24 = 0.24 * 24 = 5.76
We got a decimal number as solution. The reason why exactly 24% students can't be in the play is because this percentage does not represent whole number of students. She can't take 0.76 students

If she wanted 25% students to be in a play it would mean she has to take:
25% * 24 = 0.25 *24 = 6 students
3 0
3 years ago
Table 1 contains outputs of the function f(x)=b^x for some x values and Tables 2 contains outputs of the function g(x)=logb (x)
REY [17]
What’s your question
6 0
3 years ago
The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3<br> are…
Leokris [45]

Answer:

\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3

For finding the x intercept , <u>equate the given function with 0, we have ;</u>

\sf \implies 2x ( x - 5 )^2(x+4)^3= 0

Equate each factor with 0 ,

\sf \implies 2x = 0

Divide both sides by 2 ,

\sf \implies\bf x = 0

Again ,

\sf \implies ( x - 5)^2=0

Taking squareroot on both sides,

\sf \implies x - 5 = 0

Add 5 to both sides,

\sf \implies \bf x = 5

Similarly ,

\sf \implies \bf x = -4

<u>Hence</u><u> the</u><u> </u><u>x </u><u>Intercepts</u><u> </u><u>are </u><u>-</u><u>4</u><u> </u><u>,</u><u> </u><u>0</u><u> </u><u>and </u><u>5</u><u> </u><u>.</u>

{ See attachment also for graph } .

3 0
3 years ago
The height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t^2 + 88t where "t" is the time it is
Dvinal [7]

By definition of the zeros of ta quadratic function,  for 5.5 seconds the ball is in the air before it hits the ground.

<h3>Zeros of a function</h3>

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

<h3>Time the ball is in the air before it hits the ground</h3>

In this case, the height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t² + 88t, where "t" is the time it is in the air.

When the ball hits he ground, he height h has a value of zero. This is h=0. Replacing in the previous expression for the height you get:

0= -16t² + 88t

It can be solved by extracting the term "t" as a common factor:

0= t×(-16t + 88)

The Zero Product Principle says that if the product of two numbers is 0, then at least one of the factors is 0. Then:

t= 0

or

0= -16t + 88

Solving: -88= -16t

(-88)÷ (-16)=t

<u><em>5.5= t</em></u>

Finally, this means that for 5.5 seconds the ball is in the air before it hits the ground.

Learn more about the zeros of a quadratic function:

brainly.com/question/12649112

brainly.com/question/21320065

brainly.com/question/12037466

#SPJ1

3 0
2 years ago
Ackie got 3 wrong out of 20 questions on her social studies quiz.What percent did she answer correctly on the quiz
taurus [48]

Answer:

85%

Step-by-step explanation:

If she got 3 wrong then it means she got 20-3 right, so she got 17 questions right.

From there we get the fraction: 17/20

To make the a percentage we times both the top and bottom by 5 (because 20 x 5 = 100)

By doing that we get 17x5/20x5

= 85/100

That is equal to 85%

5 0
2 years ago
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