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2 years ago

HELP ASAP!! QUADRATIC FUNCTIONS!! what is the equation in standard form of these points?

Mathematics

2 answers:

horsena [70]2 years ago

7 0

Answer:

$-x^2+5x$

Step-by-step explanation:

Let the quadratic be $ax^2+bx+c$ . Therefore, if you plug in the first point,

$a(0)^2+b(0)+c=0\\c=0$

and if you plug in the 2 other points,

$a-b=-6\\4a+2b=6$

Multiply the first equation by 2:

$2a-2b=-12$

and add it up to the second equation:

$6a=-6\\a=-1$

Lastly, plug in a for the first equation:

$-1-b=-6\\b=5$

Therefore, the final quadratic is $\boxed{-x^2+5x}$

Mamont248 [21]2 years ago

4 0

Y=-x²+5x

Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out

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san4es73 [151]

It's not entirely clear to me what you're trying to solve, but it looks like the initial equation is

$\dfrac{a-2}{a+3} -1 = \dfrac3{a+2}$

First convert each term into a fraction with the same (i.e. the least common) denominator. The first term needs to be multiplied by a + 2; the second term by (a + 3) (a + 2); and the third term by a + 3 :

$\dfrac{a-2}{a+3}\cdot\dfrac{a+2}{a+2} -1\cdot\dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac3{a+2}\cdot\dfrac{a+3}{a+3} \\\\ \dfrac{(a-2)(a+2)}{(a+3)(a+2)} - \dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac{3(a+3)}{(a+3)(a+2)}$

Now that everything has the same denominator, we can combine the fractions into one. Move every term to one side and join the numerators:

$\dfrac{(a-2)(a+2)-(a+3)(a+2)-3(a+3)}{(a+3)(a+2)} = 0$

Simplify the numerator:

$\dfrac{(a^2-4)-(a^2+5a+6)-(3a+9)}{(a+3)(a+2)} = 0 \\\\ \dfrac{-8a-19}{(a+3)(a+2)} = 0$

If neither a = -3 nor a = -2, we can ignore the denominator:

$-8a-19 = 0$

Solve for a :

$-8a = 19 \\\\ \boxed{a = -\dfrac{19}8}$

4 0

3 years ago

Can anyone help me with this??

HACTEHA [7]

Its positive 20 and -20

6 0

3 years ago

This Question: 4 pts

dybincka [34]

Answer:

The percentage of the students who completed the poll preferred rock and roll music.

P(RR) = 0.1423 = 14.23 %

Step-by-step explanation:

Explanation:-

Given total number of students n(S) = 1960

Given the Students at a high school were polled to determine the type of music they preferred.

Rap 916

Alternative 46

Rock and Roll 279

Country 183

Jazz 32

Other 89

Let ' RR' be the event of Rock and Roll preferred music

given Rock and Roll = 279

n( RR) = 279

The percentage of the students who completed the poll preferred rock and roll music.

$P(RR) = \frac{n(RR)}{n(s)} = \frac{279}{1960}$

P(RR) = 0.1423 = 14.23 %

8 0

3 years ago

A box with a volume of 5 m3 is to be constructed with a gold-plated top, silver-plated bottom, and copper-plated sides. if gold

astraxan [27]

V (Volume) = s^2 * h = 48 ------> h = 48s^-2
C (Cost) = (4sh)(2) + (2s^2)(1) = 2s^2 + 8sh = 2s^2 + 8s(48s^-2) = 2s^2 + 384s^-1
dC/ds = 4s - 384s^-2 = 0 ------> 4s(1 - 96s^-3) = 0
Since s can't be 0, the only possible solution is:
1 - 96s^-3 = 0
s^3 - 96 = 0
s = cube root(96) = 2 cube root(12) ~ 4.579 cm
s^2 = 4 + 2 cube root(18) = 2[2 + cube root(18)]
h = 48/s^2 = 24/[2 + cube root(18)] ~ 5.194 cm

8 0

4 years ago

Read 2 more answers

5. Alex bought two hots dogs, fries, and a water at the food truck. The hot dogs were

Citrus2011 [14]

Answer:

2.60

Step-by-step explanation:

4.70 hotdogs

fries 1.25

water 2.60= 8.55-10=1.45

4 0

3 years ago