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natita [175]
3 years ago
15

What are the solutions to the quadratic equation? x2 2 + 3x - 10 = 0

Mathematics
1 answer:
FrozenT [24]3 years ago
5 0

Answer:

2 and -5

Step-by-step explanation:

x2 + 3x - 10 = 0

Factors of -10 include, -2 and 5

so  now we have to factor

(x-2)(x+5)

so x can equal 2 and -5

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The gross income of Ginger Hughes is $215 per week. Her deductions are: $15.16, FICA tax; $29.33, income tax; 2% state tax; 1% c
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Which inequality is represented by this graph?
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6 0
2 years ago
C) the function f(x) = −x2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the numb
taurus [48]
Given the function modeling the profit:
f(x)=-x^2+16x-60

a)<span>a.determine the vertex. what does this calculation mean in the context of the problem? 
The vertex form is given by y=(x-h)^2+k, where (h,k) is the vertex:
y=</span>f(x)=-x^2+16x-60
y=x^2-16x+60
c=(-b/2a)^2
b=16
thus
c=(-16/2)^2=64
hence:
y=x^2-16x+64+60-64
y=(x-8)(x-8)-4
y=(x-8)^2-4
hence the vertex form will be:
y=(x-8)^2-4 the vertex is (8,-4)
The vertex represents the highest point of the graph which is the highest daily profits attained.

b] <span>determine the x-intercepts. what do these values mean in the context of the problem?
</span>let y=0 thus
0=<span>−x2 + 16x − 60
</span>factorizing the above we get:
0=x^2-16x+60
0=x^2-6x-10x+60
0=x(x-6)-10(x-6)
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x=6 and x=10
thus the x-intercepts are x=6 and x=10, they represent the breakeven point. The minimum number of units they can sell and not make any profit
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