What is 5-5menemensnsn

(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all

Vsevolod [243]

Answers:

a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.
b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.
c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.
d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.
e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.

8 0

3 years ago

ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1,

Leni [432]

Answer:

5

Step-by-step explanation:

To find B and C prime, you must multiply them by .25, or 1/4.

B' =

(-2 x .25),(1 x .25)

I did mine in fraction form, because it will prove to be more useful in future mathematics.

B' = (1/2 , 1/4)

Repeat the process with C.

C' =

(14 x .25),(17 x .25)

C' =

(7/2 , 17/4)

You only need to focus on B and C because you are finding the length of B'C'.

The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.

x2 - x1 = 7/2 - 1/2 = 6/2 = 3 squared = 9

y2 - y1 = 17/4 - 1/4 = 16/4 = 4 squared = 16

16 + 9 = 25

Square root of 25 is 5.

Therefore, the distance is 5.

8 0

3 years ago

The dot plot shows the number of runs scored by the yellow jackets in their last baseball games. What is the median of the runs

Dominik [7]

The median is 6. What you do is list all the numbers in order and cross one on each side out until your left with one.

3 0

3 years ago

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A country has a total biocapacity of 6.21 ha/person, a biocapacity of grazing land of 0.85 ha/person, and a biocapacity of fores

leonid [27]

Answer:

44.8 %

Step-by-step explanation:

Let p = the number of people. Then

Total biocapacity = 6.21p ha

Grazing biocapacity = 0.85p ha

Forest biocapacity = <u>2.53p </u>

Grazing + forest = 2.78p ha

$\text{Percent grazing + forest} = \dfrac{\text{grazing + forest}}{\text{Total}} \times 100 \, \% \\\\= \dfrac{\text{2.78p ha}}{\text{6.21p ha}} \times 100 \, \% = \mathbf{44.8 \,\%}$

6 0

3 years ago

Brenda has $500 in her bank account.Every week she withdraws $40 for miscellaneous expenses. How many weeks can she withdraw the

lara31 [8.8K]

500-40x ≥ 200
-40x≥ -300
x ≤ 7.5
<span>
$40 can be withdrawn from the account for 7 weeks if she wants to maintain a balance of at least $200.
</span>

4 0

3 years ago

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