Find x please help me thank you
1 answer:
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Answer:
Intercept form is y= (x+5)(x+3)
vertex is (-4,1)
y intercept is (0,15)
x intercepts are (-5,0) (-3,0)
Step-by-step explanation:
Given quadratic function
To rewrite it in standard form we need to expand (x+4)^2
Intercept form is y=a(x-p)(x-q)
Factor x^2 + 8x + 15
product is 15 and sum is 8, 5*3= 15 and 5+3=8
(x+5)(x+3)
Intercept form is y= (x+5)(x+3)
Vertex form of equation is y=(x-h)^2+k
where (h,k) is the vertex
, here h = -4 and k =1 so vertex is (-4,1)
To find y intercept plug in 0 for x
y= (x+5)(x+3)
y= (0+5)(0+3) = 15, so y intercept is (0,15)
to find x intercept plug in 0 for y
y= (x+5)(x+3)
0= (x+5)(x+3), x+5 =0 and x+3=0
x=-5 and x= -3
So x intercepts are (-5,0) (-3,0)
Percent of earnings that go to school = 80%
Percent of earnings that was spent on the fundraiser cost = 20%
Last year earnings were= $4000
80% of 4000 went to school which is =
20% of 4000 = went to costs.
a:
As given, this year, they want $4,000 to go directly to the school.
So let the earnings this year be represented by = x
As, 80% of the earnings go to school, so 80% of x = 4000
Hence, this year their earnings should be $5000 so that 80% of it which is $4000 will go to school. And 20% which is $1000 will go to costs.
Or we can say last year they earned $4000, so this year they need to earn $1000 more.
b:
The total amount they need to earn this year is $5000.