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Aliun [14]
3 years ago
8

Drew played video games this morning for 48 minutes. He plans to play 30 minutes again each day for the rest of the week. Which

function can be used to find ythe number of minutes Drew has played video games in all?
Mathematics
1 answer:
Lina20 [59]3 years ago
7 0

Answer:

30

Step-by-step explanation:

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Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
The library is 1.75 miles directly north of the school. The park is 0.6 miles directly south of the school. How far is the libra
kumpel [21]
If something is placed the way these places are(directly NORTH and the park is SOUTH) all you have to do is add your two values, lining up your decimal points. 1.75
            +.6
            2.35
Let me know if this helps by making me your brainliest answer
4 0
3 years ago
Read 2 more answers
Which expression is equivalent to 4x2 + 9x – (x – 3)2 + 11?
Zanzabum
4x^2+9x-(x^2-6x+9)+11
4x^2+9x-x^2+6x-9+11
3x^2+15x+2
4 0
3 years ago
Please help, i need someone to answer fast please
RSB [31]

Answer: A and C And B

Step-by-step explanation: (I AM NOT 100% SURE WAIT FOR SOME ELSE JUST IN CASE if you dont uh hope its right)

3 0
3 years ago
5.15 divided by 0.24= I need an explanation
abruzzese [7]

Answer:

Step-by-step explanat

5.15=515/100

0.24=24/100

515/24=21.45

4 0
3 years ago
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