Answer:
(d) x = 3 or x = 4
Step-by-step explanation:
The zero product property can be used to find the solutions to a polynomial equation when it is written in factored form.
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Your polynomial can be put in factored form like this:
x² +12 = 7x . . . . . given
x² -7x +12 = 0 . . . . . standard form
(x -3)(x -4) = 0 . . . . . factored form*
x = 3 or x = 4 . . . . . . values of x that make the factors zero
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* The constants in the binomial factors must have a sum of -7 and a product of +12. It is often convenient to find them by listing factor pairs of 12:
12 = (-1)(-12) = (-2)(-6) = (-3)(-4)
Negative factors are used because we know the sum must be negative. Both have the same sign so their product is positive. The sums of the pairs shown are -13, -8, -7. The last pair is what we're looking for.
If orange:pineapple:Apple juice ratio is
2:7:5, pineapple juice would make up 7/14 of the whole juice mixture, which equals to 1/2. 1/2 of 3 litres = 1.5 litres
1.5/3 = 1/2
The answer would be B (1/2)
Answer:
the great
Step-by-step explanation:
usa united states
Answer:
<h3>2x + 5y = –15.</h3>
Step-by-step explanation:
We are given coordinates of the line passed through (–5, –1) and (10, –7) .
Applying slope formula,


Therefore,


Therefore, slope is
.
Applying point-slope form
we get


On multiplying both sides by 5, we get

5y+35=-2(x-10)
5y+35=-2x+20
Adding 2x on both sides, we get
5y+25+2x=-2x+20+2x
2x+5y+35=20
Subtracting 35 from both sides, we get
2x+5y+35-35=20-35
2x+5y=-15.
Therefore, required equation is :
<h3>2x + 5y = –15.</h3>
Step-by-step explanation:
