The number is x
it is negative
the square is 28 more than 3 times itself
x²=28+3x
minus (28+3x)
x²-3x-28=0
factor
(x-7)(x+4)=0
set to zero
x-7=0
x=7
this is not the answer because we were told the number was negative
x+4=0
x=-4
correct
the number is -4
test
(-4)²=28+3(-4)
16=28-12
16=16
check
the number is -4
Answer:
300. In this case, it's very easy to do this percentage inflation. Since 20 is a multiple of 100, and we want to know the 100%, you just multiply the 20 by 5 to make it 100. Along with this, you multiply the 60 by 5 as well, which gives you 300.
Answer:
108.88
Step-by-step explanation:
Given that:
Equation of Regression line obtained for couple's IQ:
y=9.88+0.9x
x represents the IQ score of the husband
The best predicted IQ of wife Given that husband's IQ is 110
y = 9.88 + 0.9(110)
y = 9.88 + 99
y = 108.88
Answer: 320 g
Step-by-step explanation:
We can set up a ratio.
Let the amount of oats equal to x.
18/240 = 24/x
We can now cross multiply.
18x = 5760.
x = 320 g
y = (t x - m -s)/r
Step-by-step explanation:
Step 1 :
Given,
r y + s = t x - m
=> r y = t x - m -s
=> y = (t x - m -s)/r
Step 2 :
A) r can take any values except 0.
This is because when r = 0, the denominator becomes 0 and division by 0 is undefined
The limitation for r is r should not be equal to 0
The other variables can take any value. Hence the other variables do not have any limitation