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Troyanec [42]
3 years ago
14

Jabian buys pencils as souvenirs from his vacation to give to his friends. He starts with 90 pencils and gives away 15 each hour

until he has no pencils left. Use the Segment tool to plot a graph representing the number of pencils Jabian has left to give away from the time he starts giving them away until he has no pencils left.
Mathematics
1 answer:
Sidana [21]3 years ago
5 0
You'll have to adapt this problem statement to Brainly, as Brainly does not have the Segment Tool available.

"starts with 90 pencils" implies that the y-intercept is (0,90).

"gives away 15 pencils" implies a slope of -15 pencils per unit of time

Thus, the # of pencils Jabian still has is   P(x) = 90 - (15 pencils / time unit)x
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Many employees screen gpa in addition to a variety of skills. Suppose a student is in the last semester of college and has a 2.6
wel

Answer:

  • Overall GPA=2.81
  • It is not possible to get his GPA to 3.0 for graduation.

Step-by-step explanation:

The Student already has a GPA of 2.68 after 108 credit hours.

If he is taking 12 credit hours in his last semester and gets a perfect 4.0 GPA

Total Credits Earned Before = 2.68 X 108=2894.4

Projected Credit to be earned = 12 X 4= 48 Credits

Total credit Hour= 108+12=120 Hours

His Cumulative GPA = Total credits earned ÷ Total Credit Hour

=\frac{2894.4+48}{120} =2.81

Since 2.81 is less than 3.00, it is not possible to get his GPA to 3.0 for graduation.

3 0
4 years ago
Write the expression in factored form: 16m4 power - n4 power
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16m^4 - n^4
= (4m^2 + n^2)(4m^2 - n^2)
= (4m^2 + n^2) (2m + n)(2m - n)
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The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a.
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3 years ago
Write f(x)=8x^2-4x+11 in vertex form
Vlad [161]

Answer:

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}

or

f(x)=8(x-0.25)^{2}+10.5

Step-by-step explanation:

we have

f(x)=8x^{2}-4x+11

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

f(x)=8(x^{2}-\frac{1}{2}x)+11

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}

Rewrite as perfect squares

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2} ----> equation in vertex form

or

f(x)=8(x-0.25)^{2}+10.5

The vertex is the point  (0.25,10.5)

3 0
3 years ago
Order the group of parabolas from widest to narrowest.
Mamont248 [21]

Answer:

\large\boxed{y=\dfrac{1}{4}x^2,\ y=-\dfrac{1}{2}x^2,\ y=\dfrac{3}{2}x^2}

Step-by-step explanation:

The equation of a parabola: y = ax²

The larger the value of |a|, the narrower the parabola.

We have the following coefficients a:

\left|\dfrac{1}{4}\right|=\dfrac{1}{4},\ \left|-\dfrac{1}{2}\right|=\dfrac{1}{2},\ \left|\dfrac{3}{2}\right|=\dfrac{3}{2},

We arrange the coefficients from the smallest to the largest:

\dfrac{1}{4}\

Therefore you have the answer:

y=\dfrac{1}{4}x^2,\ y=-\dfrac{1}{2}x^2,\ y=\dfrac{3}{2}x^2

6 0
3 years ago
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