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nordsb [41]
3 years ago
8

Find the equation of the exponential function represented by the table ​

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

Answer:

y=-3.5x^2+9.5x-4

Step-by-step explanation:

y=a*x^2+b*x+c

4=0+0+c => c=-4

2=a+b-4 =>a+b=6

1=4a+2b-4 => 4a+2b=5

2a+b=2.5

a+b=6

a=-3.5

b=9.5

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One number is 9 more than another. if the sum of the two numbers is 163​, find the two numbers.
tiny-mole [99]
I think that one number is 77 and the other is 86. 77 + 9 is 86. 86 +77 is 163.
5 0
3 years ago
Show and/or explain why (1/3)^3 = 1/27​
ratelena [41]
(1)^3 /(3)^3
(1x1x1)/{3x3x3}
1/27 hope it helps :))
4 0
3 years ago
Read 2 more answers
the late fee for library books is $2.00 plus 15 cents each day for a book that is late. If Maria's fee for a late book was $3.20
love history [14]

Answer:

Maria's book was 8 days late

Step-by-step explanation:

According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:

0.15x+2= 3.20

x= number of days that the book was late

Now, you have to solve for x:

0.15x= 3.20-2

0.15x= 1.20

x= 1.20/0.15

x= 8

The book was 8 days late.

5 0
2 years ago
A man is trying to calculate the shadow of a 24 flag pole. He uses similar triangles by comparing his own height 5 ft to the len
Pie

Answer:

The answer to your question is 12 ft

Step-by-step explanation:

Data

Height of the flag pole = 24

shadow of the flag pole = x

height of the man = 5 ft

shadow of the man = 2.5 ft

Process

1.- Use the Thales' theorem to solve this problem

shadow of the flag pole/height of the flag pole = shadow of the man/height

                                                                                                 of the man

- Substitution

                     x/24 = 2.5/5

- Solve for x

                    x = 2.5(24)/5

- Simplification

                    x = 60/5

-Result

                   x = 12 ft

8 0
3 years ago
A rectangular garden has links twice as great as it's with a second rectangular garden has the same link as the first garden and
irinina [24]

Solution :

For the bigger rectangle

Width of bigger rectangle = W

Length of bigger rectangle, L = 2W

For the smaller rectangle

Width , w = W+4

Length, l = L = 2W

Area, a =120 m^2

Now we know,

Area = length x width

$a=l \times w$

$120=(2W) \times (W+4)$

$120=2W^2 + 8W$

$2W^2+8W-120=0$

$W^2+4W-60=0$

$(W+10)(W-6) = 0$

We get, either W=-10   (rejecting)

                or     W=6

∴ length of the bigger rectangle, $L=2W $

                                                          = 2(6)

                                                           = 12 m

 Length of the smaller rectangle, $L=2W$

                                                            = 2(6)

                                                           = 12 m

Hence, the length of the two gardens is 12 m.                                                            

6 0
3 years ago
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