Answer:
A
Step-by-step explanation:
f(x) - g(x)
= x² - 8 - (4 - x) ← distribute parenthesis by - 1
= x² - 8 - 4 + x ← collect like terms
= x² + x - 12 → A
Answer:
Step-by-step explanation:
Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 474
σ = 32
x = 514
The probability of being below 514 is expressed as P(x < 514)
For x = 514,
z = (514 - 474)/32 = 1.25
Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89
Therefore,
P(x < 514) = 0.89
Answer:
BC=25
Step-by-step explanation:
this is an isosceles triangle, so sides AB and sides AC are equal
AB = AC
4x+1 = 2x+23
subtract 2x from each side
2x+1 = 23
subtract 1 from each side
2x =22
divide by 2 on each side
x =11
BC = 3x-8
substitute the value of x
BC = 3*11 -8
BC = 33 -8
BC=25
Answer:
Graph A
hope it helps
Step-by-step explanation:
Answer:
y = 6x + 4
Step-by-step explanation:
We know the equation is linear. First, use two points to find the slope of the line.
m = (y₂ − y₁) / (x₂ − x₁)
m = (10 − 4) / (1 − 0)
m = 6
The y-intercept is 4. So the equation of the line is:
y = mx + b
y = 6x + 4
