Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
- 2x - y = - 4 → (1)
x + 2y = 5 → (2)
Multiplying (2) by 2 and adding result to (1) will eliminate x- term
2x + 4y = 10 → (3)
Add (1) and (3) term by term to eliminate x
0 + 3y = 6
3y = 6 ( divide both sides by 3 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (2)
x + 2(2) = 5
x + 4 = 5 ( subtract 4 from both sides )
x = 1
solution is (1, 2 )
ANSWER
The exponential function is

EXPLANATION
Let the exponential function that is represented by the values in the table be of the form,

The points in the table must satisfy this exponential function.
We substitute the point,

to get,

This implies that,


Our function now becomes,

We gain, plug in another point yo find the value of b too.
Let us substitute

This implies that,

We divide through by 3 to obtain,

Therefore the function is,

The correct answer is A.
Answer:
351π cm^2.
Step-by-step explanation:
Area of shaded part = area of the large circle - area os small circle
= π * (13+7)^2 - π * 7^2
= 400π - 49π
= 351π.
Answer:
9+2 is not the expresssion
Step-by-step explanation:
Answer:
Step-by-step explanation:
The number of samples is large(greater than or equal to 30). According to the central limit theorem, as the sample size increases, the distribution tends towards normal. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 22199
σ = 5300
n = 30
the probability that a senior owes a mean of more than $20,200 is expressed as
P(x > 20200)
Where x is a random variable representing the average credit card debt for college seniors.
For n = 30,
z = (20200 - 22199)/(5300/√30) =
- 2.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.0197
P(x > 20200) = 0.0197