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Answer:

The temperature, in December is 47 °F

Step-by-step explanation:

The given data for the temperature are;

Month             [tex]{}[/tex]         Temp (°F)

April                   [tex]{}[/tex]          59

May               [tex]{}[/tex]               68

June             [tex]{}[/tex]                71

July                  [tex]{}[/tex]             78

August              [tex]{}[/tex]            74

Let x represent the month, and f(x) = y represent the temperature, we have;

y = a·x² + b·x + c

When x = 1, we have, f(1) = a·1² + b·1 + c = 59

f(1) = a + b + c = 59...(1)

When x = 2, we have, f(2) = a·2² + b·2 + c = 68

f(2) = 4·a + 2·b + c = 68...(2)

When x = 3, we have, f(3) = a·3² + b·3 + c = 71

f(3) = 9·a + 3·b + c = 71...(3)

When x = 4, we have, f(4) = a·4² + b·4 + c = 78

f(3) = 16·a + 4·b + c = 78...(4)

When x = 5, we have, f(5) = a·5² + b·5 + c = 74

f(3) = 25·a + 5·b + c = 74...(5)

Subtracting equation (3) from equation (5), we get;

25·a + 5·b + c - (9·a + 3·b + c) = 74 - 71

16·a + 2·b = 3...(6)

Subtracting equation (1) from equation (2), we get;

4·a + 2·b + c - (a + b + c) = 68 - 59

3·a + b = 9...(7)

Multiply equation (7) by 2 and substract from equation (6) gives;

16·a + 2·b - 2 × (3·a + b) = 3 - 2 × 9

16·a + 2·b - 6·a - 2·b = 3 - 2 × 9

16·a - 6·a + 2·b  - 2·b = 3 - 2 × 9 = -15

10·a = -15

a = -15/10 = -1.5

a = -1.5

From, 3·a + b = 9, we have;

3 × (-1.5) + b = 9

b = 9 + 4.5 =13.5

b = 13.5

From, a + b + c = 59, we have;

-1.5 + 13.5 + c = 59

c = 59 - (-1.5 + 13.5) = 47

c = 47

The quadratic equation becomes, y = a·x² + b·x + c = -1.5·x² + 13.5·x + 47

f(x) = y = -1.5·x² + 13.5·x + 47

For December, we have, x = 9, and f(x) = -1.5×9² + 13.5×9 + 47 = 47

The temperature, in December = 47 °F

Answer:

A

Step-by-step explanation:

Use the equation given for sin

Answer:

the 10.5

Step-by-step explanation:

it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three

Answer: See explanation below

Step-by-step explanation:

A composite number is a number that has factors other than 1 and self, while a prime number only can be divided by (or have factors of) 1 and itself.

Hope this helps! :)

Answer:

A prime number is a number that can be divided by itself or the number 1

Step-by-step explanation:

Not sure on the composite one tho

Answer:

A, C, F, G (1 in.^3, 8 in.^3, 27 in.^3, 64 in.^3.)

Step-by-step explanation:

Answer:

A

C

F

G

Step-by-step explanation:

I got it right on the question.

Answer:

i am not sure but may be ...absolute value

Answer:

40

Step-by-step explanation:

Answer:

40 I think so if not I hate u

Answer:

1/2 teaspoons of salt per cup of sour cream

Step-by-step explanation:

multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.

Answer:

Distributive property is shown!

Answer:

the answer would be distrubutive

Step-by-step explanation:

ook a test today in school and got a 100

Answer:

6.27 x 10 ^ 8

Step-by-step explanation:

Answer:

0.00497512437

Step-by-step explanation:

but make sure to round it. it should be 0.005 rounded to the nearest thousandth place but make sure if im correct im not too sure.

Answer:

38

Step-by-step explanation:

if there are bars around it its automatically positive even if it was -38 the absolute would still be 38.

Answer: 38

Step-by-step explanation: The absolute value of a number

is that number's distance from zero on a number line.

Since 38 is 38 units from zero, the absolute value of 38 is just 38.

Answer:

2x + y = -7

Step-by-step explanation:

Standard form is Ax + By = C

A represents the coefficient with x

B represents the coefficient with y

C represents the constants

1 - Rewrite to make it easier to work it out

y - 3 = -2 ( x + 5 )

2 - Distribute

y - 3 = -2x - 10

3 - Get the variables on one side and the constants on the other

y - 3 = -2x - 10

+ 2x  + 2x

2x + y - 3 = -10

         + 3   + 3

2x + y = -7

Hope this helps,

Answer:

C. 2 -9

4 -6

6 -3

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

64.8 x t = m

Step-by-step explanation:

324 / 5 = 64.8       :64.8 megabytes are produced every 1 minute

64.8 x t = m  

Answer:

The linear equality y>x+1 is the right answer.

Answer:

The linear equality y>x+1 is the right answer.

Step-by-step explanation:

Answer:

A: y=-3/4x -3

Step-by-step explanation:

Answer: hope this helps I guess?

Step-by-step explanation:

Answer:

Marissa.

Step-by-step explanation:

To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)

By doing -A/B it make the previous slope negative.

Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.

Hope this helps! Stay safe and if you have any questions feel free to ask!

Answer:

The answer is C

Step-by-step explanation:

Distribute first then combine like terms

Answer:

1.955 is bigger

Step-by-step explanation:

1.955>1.59

Answer:

1.955

Step-by-step explanation:

This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59

Answer: 32x - 96

Step-by-step explanation: If I’m not wrong, that’s the answer. You distribute the 8 to each of the numbers, so you multiply. 8 multiplied by 4x would be 32x. 8 multiplied by 12 is 96. You then put the subtraction sign in. You could also think of it as 8 times -12. That’ll still get you -96. It would be 32 and the negative 96, so it seems like the negative is the subtraction sign. I suck at explaining, but I hope thing helps

Answer:

-2

Step-by-step explanation:

Answer:

it is C.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B. angle N is supplementary to angle P

Answer:

B

Step-by-step explanation:

Answer:

The answer is c definitely

Answer:

C. x + 8 = 3

Step-by-step explanation:

x + 8 = 3

x + 8 - 8 = 3 - 8 ( so do the same thing you do on both the left and right side )

x = -5

So C is correct but you can always say 3 - 8 to figure out that the answer in c is the right one.

HOPE THIS HELPED

Answer:

r>−4

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Add 1/5 + 3/4. Answer: 19/20 likes sports.