When 4 is divided by (x+7),the result is the same as when 3 is divided by(x+4),find the value of x
2 answers:
Answer:
x=5
Step-by-step explanation:
You can approach this question in many different ways, but i'm gonna look at it algebraically, since it's the quickest and works pretty much all the time.
First, you want to convert the words they've given you and make it into a less confusing equation.
<u>They told us that 4 divided by (x+7) = 3 divided by (x+4), which is the same as:</u>
=
<u>Now, we can multiply both sides by (x+7), which gives me:</u>
4 =
<u>Now we can multiply both sides by (x+4), to get rid of the fractions:</u>
4(x+4) = 3(x+7)
<u>Then expand the brackets:</u>
4x + 16 = 3x + 21
<u>Move the x to one side and numbers to another side:</u>
4x - 3x = 21 - 16
x = 5
Hope that helped : )
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Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
=
= a
y = (x - 3)² + 1 ← in vertex form
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the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form