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sweet [91]
3 years ago
12

What is the equation to the quadratic function that has zeros at -6 and 16?

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

Answer:

x^2 -10x -96 =0

Step-by-step explanation:

Subtract the zeros from x in factors

(x - -6) (x-16)

(x+6) (x-16)

Set these equal to zero since they are zeros

(x+6) (x-16)  =0

FOIL

x^2 -16x+6x -96 =0

x^2 -10x -96 =0

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A car travels 294 miles on a full tank of gas. The car's gas tank holds 14 gallons. How many yards per gallon can this car trave
sattari [20]
294 / 14 = 21 miles per gallon
21 * (5280 ft per mile / 3 yards per foot) =
36,960 yards per gallon

4 0
3 years ago
Plz help me, thank you
Kruka [31]

Answer:

P=40(1.03526)^{t}

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^{t}

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:

2P_o=P_o(1+r)^{20}

Simplifying:

(1+r)^{20}=2

Solving for 1+r:

1+r=\sqrt[20]{2}

1+r=1.03526

The exponential function that models the situation is:

\mathbf{P=40(1.03526)^{t}}

4 0
3 years ago
What is the vertex of the graph of y = 1/3 (x-9)2 + 5 Question 1 options: (9,5) (3,3) (3,5) (-9,5)
svlad2 [7]
ANSWER

The vertex of the graph of
y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
is

(9,5)



EXPLANATION

The vertex form of a parabola is given by

y = a {(x - h)}^{2}  + k

where
V(h,k)
is the vertex of the parabola.


The function given to us is

y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
This is already in the vertex form.


When we compare this to the general vertex form, we have,

a =  \frac{1}{3}

h = 9
and

k = 5


Therefore the vertex of the parabola is

V(9,5)

Hence the correct answer is option A.

7 0
3 years ago
Read 2 more answers
Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.
devlian [24]

no they are different

if Base are equal power are added

like wise in first expressions power are added

but in second expressions cube of three is written as x to the power.

so they are not equal

3 0
3 years ago
Rearrange the following equation to solve for the variable indicated. -4x+2Y=8 solve for y
Alecsey [184]

Answer:

y = 8 + 4x / 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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