3 years ago

Find the equation of quadratic function determined from the graph below?

Mathematics

1 answer:

Aleksandr [31]3 years ago

3 0

Step-by-step explanation:

The x-intercepts are x = -1 and x = 5, so:

y = k (x + 1) (x − 5)

The vertex is (2, -3), so:

-3 = k (2 + 1) (2 − 5)

-3 = -9k

k = 1/3

y = 1/3 (x + 1) (x − 5)

Simplifying:

y = 1/3 (x² − 4x − 5)

y = 1/3 x² − 4/3 x − 5/3

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The next number in the sequence -5, -2, 4, 13 is 25. Is this conjecture true or false?

steposvetlana [31]

Answer:

False

Step-by-step explanation:

The sequence seems to be increasing by 3+3(-5+3=-2, -2+3+3=4, so on). By 13, the sequence is increasing by 11, making the next number 24.

7 0

2 years ago

Solve for t: if a≠−b<br> t + <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bat%7D%7Bb%7D" id="TexFormula1" title="\frac{at}{b}" alt

prohojiy [21]

Answer:

$t=\frac{b}{b+a}$

Step-by-step explanation:

we have

$t+\frac{at}{b}=1$

Solve for t

That means ----> Isolate the variable t

Multiply by b both sides to remove the fraction

$bt+at=b$

Factor the variable t in the left side

$t[b+a]=b$

Divide by (b+a) both sides

$t=\frac{b}{b+a}$

4 0

3 years ago

Write 135% as a fraction in simplest form.<br> a. b. <br> c. d.

hjlf

It's 27/10 or 2 7/10.

4 0

2 years ago

Andrew got hired at grub burger and earns $8.25 an hour. Which choice is correct for filling the amount of $ going down? Each li

ozzi

Answer:

The given table is

Hours. Earnings per hour.

Now, the unit rate is $8.25 per hour, according to the proble, this is the constant ratio of change, that means, we only need to multiply the number of hours with the unit rate.

$0 \times 8.25=0\\4 \times 8.25= 33\\8 \times 8.25=66\\12 \times 8.25 = 99$

<h3>Therefore, the complete table is</h3>

Hours. Earnings per hour.

0 0

4 33

8 66

12 99

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3 years ago

Simplify the expression below

Degger [83]

Answer:

jjjh;kn jhuj hnpjinp; inj in

Step-by-step explanation:

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2 years ago