Descriptions 1, 2, 3, and 5 are accurate, though 5 is ambiguous.
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Description 4 goes with (7x)² = 49x², not 7x².
Description 6 goes with 5·8 + x² + (2x + 8) = x² +2x +48, not 40x² +100x +40.
The description for 5 is accurate, but could also be applied to y² + 3(y - 4), which is why it can be considered to be ambiguous. There are a number of ways to resolve the ambiguity, but they were not used here.
Anything but the number 8
The standard form of a quadratic function is y = 3/2x² + 17/2x - 7
<h3>How to determine the
quadratic equation?</h3>
From the question, the points on the quadratic equation are given as
(2,4), (3,5) and (4,3)
The standard form of a quadratic equation is represented as
y = ax² + bx + c
So, we have
Point (2,4):
4a + 2b + c = 4
Point (3,5):
9a + 3b + c = 5
Point (4,3):
16a + 4b + c = 3
Solving using an online calculator. we have
a = 3/2, b = 17/2 and c = -7
Substitute a = 3/2, b = 17/2 and c = -7 in y = ax² + bx + c
y = 3/2x² + 17/2x - 7
Hence, the equation is y = 3/2x² + 17/2x - 7
Read more about quadratic equation at
brainly.com/question/1214333
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We know that Nick and Nora are married and have three children who are studying in college.
Also, their gross income = $47,400
Standard deduction = $12,600
Itemized deductions = $14,200
Exemption = $4,000 for each adult and each dependent
⇒ Exemption = 4,000 * 5
⇒ Exemption = $20,000
Taxable Income = Gross Income - Standard Deduction - Itemized Deduction - Exemptions
⇒ Taxable Income = 47,400 - 12,600 - 14,200 - 20,000
⇒ Taxable Income = $600
Hence, their taxable income is $600
All of them are correct except the third option. The image is smaller than the pre-image after the dilations.
