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hodyreva [135]
3 years ago
10

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form. What is this function wr

itten in vertex form?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
8 0
The vertex form is f(x)=(x+1)^2 +2
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Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2
disa [49]

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

x + y = 19\\0.25x + 0.30y = 5.10

From the first equation we have to:

x = 19-y

replacing in the second equation:

0.25 (19-y) + 0.30y = 5.10\\4.75-0.25y + 0.30y = 5.10\\4.75 + 0.05y = 5.10\\0.05y = 5.10-4.75\\0.05y = 0.35\\y = \frac {0.35} {0.05}\\y = 7

So, Carl bought 7 Gala apples

On the other hand:

x = 19-7 = 12

So, Carl bought 12 Granny Smith apples

Answer:

Carl bought 7 Gala apples and 12 Granny Smith apples

8 0
3 years ago
6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally dis
Yakvenalex [24]

Answer:

92.9997<\mu<99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

<em>Hence a 90% confidence interval for the population mean using this sample data is 92.9997<</em>\mu<em><99.5203</em>

4 0
3 years ago
PLEASE HELP IM SERIOUSLY STUCK E
lara31 [8.8K]

Answer:  2.12 × 10^{-3}

               The coefficient (in green) will be 2.12

Step-by-step explanation:

     Scientific notation is written by multiplying the number by a power of 10. This number is a number between 1 and 10.

     Since this is a smaller number, we will be multiplying it by a power of 10 to a negative number.

    To get this value to a number between 1 and 10, we must multiply it by 10 3 times (also shown as 10³) which gives us 2.12.

    To get back to the original value, we multiply this by 10^{-3}. This gives us our answer.

3 0
2 years ago
Three friends each have some ribbon. Carl has 54 inches of ribbon,Tino has 13.5 feet of ribbon, and Baxter has 3.5 yards of ribb
deff fn [24]

Answer:

  342 inches, or 28.5 feet, or 9.5 yards

Step-by-step explanation:

It is perhaps easiest to start with all the dimensions in inches.

  13.5 ft = (13.5 ft)(12 in/ft) = 162 in

  3.5 yd = (3.5 yd)(36 in/yd) = 126 in

Then the total of the lengths of ribbon is ...

  54 in + 162 in + 126 in = 342 in

Converting to feet, we get ...

  (342 in)/(12 in/ft) = 28.5 ft

And converting to yards, we get ...

  (342 in)/(36 in/yd) = 9.5 yd

The total length of ribbon is 342 inches, or 28.5 feet, or 9.5 yards.

7 0
4 years ago
Help me please!!!!!!!!!!!!!!!
shutvik [7]

Answer:

12 20 15

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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