Answer:
Step-by-step explanation:
The function is f(x) = -4x²+10x-8
Let Δ be our the dicriminant
- Δ= b²-4ac
- b = 10
- a = -4
- c = -8
- Δ = 10²-4*(-4)(-8)
- Δ = 100-128
- Δ = -28
The value of the discriminant is -28 and since it is negative this function has no real zeroes
Answer:
She got 9 multiple choice questions right.
She got 8 true/false questions right.
Step-by-step explanation:
you have to make them have a common denominator.
so multiply 4/5 by 2/2 and you get 8/10.
She got 9/10 multiple choice answers right and 8/10 true/false answers right.
Answer:
-1/2 or -0.5
negative half
Step-by-step explanation:
slope of regular line= (y1-y2) / (x1-x2)
(27-3) / (4 - -8)
24 / (4+8)
24 / 12 = 2
the slope of a perpendicular line is the negative reciprocal
the negative reciprocal of positive 2/1 (2 as a fraction) is:
negative half: -1/2 or -0.5
Answer:
The interest rate is 7.58%
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
A = P
, where
- A is the future value of the investment, including interest
- P is the principal investment amount (the initial amount)
- r is the interest rate in decimal
- t is the time the money is invested for
∵ Angus has $3,000 he want to invest
∴ P = 3000
∵ The interest rate is compounded continuously
∵ Angus has $5,500 in 8 years
∴ A = 5500
∴ t = 8
→ Substitute them in the rule above to find r
∵ 5500 = 3000
→ Divide both sides by 3000
∴
= 
→ Insert ㏑ in both sides
∵ ㏑(
) = ㏑(
)
→ Remember ㏑(
) = n
∴ ㏑(
) = 8r
→ Divide both sides by 8
∴ 0.07576697545 = r
→ Multiply it by 100% to change it to a percentage
∴ r = 0.07576697545 × 100%
∴ r = 7.576697545 %
→ Round it to the nearest hundredth
∴ r ≅ 7.58
∴ The interest rate is 7.58%
Not positively sure but I believe it goes like this
Answer: 9x+26+5x=180
14x+26=180
180-26=14x
14x=154
X=15