Answer:
y = 6 or 8
Step-by-step explanation:
1. Subtract the constant:
y^2 -14y = -48
2. Add the square of half the y-coefficient:
y^2 -14y +49 = -48 +49
Write as a square, if you like:
(y -7)^2 = 1
3. Take the square root:
y -7 = ±√1 = ±1
4. Add the opposite of the constant on the left:
y = 7 ±1 = 6 or 8
The solution is y = 6 or y = 8.
<span>Let x = the number of cases from Supplier X and
y = the number of cases from Supplier Y
From the statement "</span><span>The company needs to order at least 45 cases per day"
</span>x + y ≥<span> 45
From "</span><span>The company can order no more than 30 cases from Supplier X"
x </span>≤ 30
<span>From the statement "the company needs no more than 2 times as many cases from Supplier Y as from Supplier X".
y </span>≤ 2x<span>
</span>
<span>
</span>
Answer:
f(3) = 0
Step-by-step explanation:
By the factor theorem.
If (x - h) is a factor of f(x) then f(h) = 0
Here the factor is (x - 3), with h = 3, thus
If (x - 3) is a factor of f(x) then f(3) = 0
Answer:
The correct answer is 10.
Step-by-step explanation:
Faruq spends all of his income ($100) on tacos and milkshakes.
Price of tacos is $10, and the price of milkshakes is $2.
Let Faruq buy x number of tacos (horizontal axis) and y number of milkshakes (vertical axis).
Total expenditure of Faruq is given by 10 × x + 2 × y.
Since Faruq does not save anything, therefore his expenditure is equal to his income.
Thus his budget line is given by 10 × x + 2 × y = 100.
To calculate the horizontal intercept for Faruq's budget line we consider y = 0, i.e. we want to calculate how many tacos Faruq would buy when he does not buy any amount of milkshakes.
Thus taking y = 0, we get
10 × x = 100
⇒ x = 10
Thus the horizontal intercept for Faruq's budget line is 10.
Answer:
5:1 (answer c)
Step-by-step explanation:
Number right: 10
Number wrong: 2
Total number: 10 + 2 = 12
Ratio of right answers to number of wrong answers:
10/2 or 10:2, or (after reduction) 5:1
