The equation based on the information given will be x⁴ + 8x² - 12.
<h3>How to compute the value?</h3>
It should be noted that from the information given, the expression to compute will be:
= g - g(x)²
This will be:
= 4 - (4 - x²)²
= 4 - (4 - x)(4 - x)
= 4 - (15 - 8x² + x⁴)
= x⁴ + 8x² - 12
The complete question is:
Use f(x) = 2x − 3 and g(x) = 4 − x² to evaluate the expression g - g(x)².
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Answer:
where is the pic?? i dont see it
Step-by-step explanation:
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
![d_1=2 - 16 = -14](https://tex.z-dn.net/?f=d_1%3D2%20-%2016%20%3D%20-14)
![d_2=-2 - 2 = -4](https://tex.z-dn.net/?f=d_2%3D-2%20-%202%20%3D%20-4)
![d_3 = 4--2 = 6](https://tex.z-dn.net/?f=d_3%20%3D%204--2%20%3D%206)
![d_4 = 20 - 4 = 16](https://tex.z-dn.net/?f=d_4%20%3D%2020%20-%204%20%3D%2016)
(2) Subtract adjacent differences in (1) above
![d_5 = d_2 - d_1 = -4 --14 = 10](https://tex.z-dn.net/?f=d_5%20%3D%20d_2%20-%20d_1%20%3D%20-4%20--14%20%3D%2010)
![d_6 = d_3 - d_2 = 6 --4 = 10](https://tex.z-dn.net/?f=d_6%20%3D%20d_3%20-%20d_2%20%3D%206%20--4%20%3D%2010)
![d_7 = d_4 - d_3 = 16 -6 = 10](https://tex.z-dn.net/?f=d_7%20%3D%20d_4%20-%20d_3%20%3D%2016%20-6%20%3D%2010)
Notice the calculated differences in (2) are the same.
<em>Hence, the table is a quadratic function</em>
Answer:
Step-by-step explanation:
Answer:
<u>The total number of flowers in Mrs. Garcia's garden is</u><u> 25.</u>
Step-by-step explanation:
The ratio of lilies to daisies is 3:2 and there are 15 lilies. We need to compute the number of daisies first and then add both the number of daisies and lilies to compute the total number of flowers. Using the ratio method:
Lilies : Daisies
3 : 2
15 : x
By cross multiplying we get:
3x = 15*2
3x = 30
x = 10
Hence, the total number of flowers in the garden are:
10 + 15 = 25
<u>The total number of flowers in Mrs. Garcia's garden is 25.</u>