Answer:
- The correct equation is 6s = 7.80
- The solution of the equation is s = $1.30
Step-by-step explanation:
To find the product of 6 and a number, first we denote the unknown number as s.
The product of 6 and s is the same as 6s.
If the product of both numbers is $7.80, then 6s = $7.80
The correct equation is therefore 6s = $7.80
To get the value of s, we will divide both sides by 6 to have:
6s/6 = $7.80/6
s = $1.30
Based on the calculation, the following statements are true
- The correct equation is 6s = 7.80
- The solution of the equation is s = $1.30
Answer:
i
Step-by-step explanation:
The values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
<h3>How to rewrite in vertex form?</h3>
The equation is given as:
f(x) = x^2 + 12x + 6
Rewrite as:
x^2 + 12x + 6 = 0
Subtract 6 from both sides
x^2 + 12x = -6
Take the coefficient of x
k = 12
Divide by 2
k/2 = 6
Square both sides
(k/2)^2 = 36
Add 36 to both sides of x^2 + 12x = -6
x^2 + 12x + 36= -6 + 36
Evaluate the sum
x^2 + 12x + 36= 30
Express as perfect square
(x + 6)^2 = 30
Subtract 30 from both sides
(x + 6)^2 -30 = 0
So, the equation f(x) = x^2 + 12x + 6 becomes
f(x) = (x + 6)^2 -30
A quadratic equation in vertex form is represented as:
f(x) = a(x - h)^2 + k
Where:
Vertex = (h,k)
By comparison, we have:
(h,k) = (-6,-30)
Hence, the values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
Read more about quadratic functions at:
brainly.com/question/1214333
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<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>To subtract fractions, we must check if the denominators of both fractions are the same.</u>
- 2/5 - 1/7
- => 2 x 7/5 x 7 - 1 x 5/7 x 5
- => 14/35 - 5/35
<u>Now, let's subtract for the result.</u>
Hence, <u>Option B is correct.</u>
Hoped this helped.
