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igomit [66]
3 years ago
7

F(x) = x2 + 5x - 1 is shifted 3 units left. The result is g(x). What is g(x)?

Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0

Answer:

g(x) = (x + 3)^2 + 5(x + 3) - 1

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  f(x) = x^2 + 5x - 1.

Shifting the graph of this function 3 units left results in

g(x) = (x + 3)^2 + 5(x + 3) - 1

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Ms. Monet is combining 15 cups pf green paint with 15 cups of white paint. She is pouring the paint mixture into empty quart bot
Galina-37 [17]

Answer: she needs 8 quart bottles.

Step-by-step explanation:

Ms. Monet is combining 15 cups of green paint with 15 cups of white paint. This means that the total number of cups containing the mixture of green and white paint us

15 + 15 = 30

1 Us liquid quart = 4 Us cups

x Us liquid quart = 30 Us cups

Cross multiplying,

4x = 30

x = 30/4 = 7.5 quarts of paint

Since she is pouring the paint mixture into empty quart bottles, the number of quart bottles that she needs is approximately 8

4 0
3 years ago
K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. R
Elan Coil [88]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = mean sale amount for mail order sales = 82.70

x2 = mean sale amount for internet sales = 66.9

s1 = sample standard deviation for mail order sales = 16.25

s2 = sample standard deviation for internet sales = 20.25

n1 = number of mail order sales = 17

n2 = number of internet sales = 10

For a 99% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

(n1 - 1) + (n2 - 1) = (17 - 1) + (10 - 1) = 25

z = 2.787

Margin of error =

z√(s²/n1 + s2²/n2) = 2.787√(16.25²/17 + 20.25²/10) = 20.956190

4 0
3 years ago
What are the domain and range of the function x^2-2x^2-4?
jonny [76]

{x}^{2}  - 2 {x}^{2}  - 4 \\  -  {x}^{2}  - 4

The Quadratic Function has the domain as the set of all real numbers.

For the range, start from minimum value to maximum value.

But because the parabola is downward as a < 0. Thus, there are no minimum value but the maximum value instead.

Therefore the range is y <= -4

7 0
2 years ago
Use a single digit times a power of 10 to express the number 866,214,000,000
BartSMP [9]

Answer:

8.66214 x 10^11

Step-by-step explanation:

question may ask to round, so the answer may be simplified to 9 x 10^11

3 0
3 years ago
a contractor needs to purchase 500 bricks. the dimensions of each brick are 5.1 cm by 10.2 by 20.3 cm, and the density of each b
AveGali [126]
No, the trailer cannot hold the weight of the bricks. It is beyond the 900kg capacity of the trailer. The total weight of the bricks is 1,013.77 kilograms. The total weight was derived from getting the volume of the brick (0.051m x 0.102m x 0.203m), then multiplying the volume to the density of each brick (1.056 x 10^3m^3 x 1920kg/m^3). The weight of each brick is 2.03kg. Lastly, multiply the total number of bricks to the weight of each brick to get the total weight.
5 0
3 years ago
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