By apply the distributive property of multiplication, the value of k which makes the statement true is 1.
<h3>What is the
distribution property?</h3>
Mathematically, the distributive property of multiplication is given by tis expression:
x(y + z) = xy + xz.
Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:
k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸
Dividing both sides by the common factor, we have:
k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)
k = 1.
In conclusion, the value of k which makes the statement true is 1.
Read more on distributive property here; brainly.com/question/2807928
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<u>Complete Question:</u>
What value of k makes the statement true?
y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸
to find X when K is known
divide K by Y
0.6/0.6 = 1
X = 1
<h3>Answer:</h3>
option A
f(x) = (x – 1)2 + 3
<h3>Step-by-step explanation:</h3>
Given in the question a function,
f(x) = 4 + x² – 2x
Step 1
f(x) = 4 + x² – 2x
here a = 1
b = -2
c = 4
Step 2
x = -b/2a
h = -(-2)/2(1)
h = 2/2
h = 1
Step 3
Find k
k = 4 + 1² – 2(1)
k = 3
Step 4
To convert a quadratic from y = ax² + bx + c form to vertex form,
y = a(x - h)²+ k
y = 1(x - 1)² + 3
y = (x - 1)² + 3