Answer:
C: x = 7
Step-by-step explanation:
The easiest way to do this is to simply try all of the x-vales given as options.
Option 1: x = -1
Since
, we'll use the first equation.

As we can see, g(-1) is not -4.
Option 2: x = 3
Since
, we'll use the 2nd equation.

Not -4.
Option 3: x = 7
Since
, we'll use the 3rd equation.

Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:
Option 4: x = 4
Since
(less than <em>or equal to</em>), we'll use the 3rd equation.

The ratio of his savings: expenses = 7: 5
So, total of the ratio is = 7 +5 =12
His savings will be 7/12* allowance
His expenses will be 5/12 * allowance
We know that the allowance that he gets is $3
His savings = 7/12 * allowances
His savings = 7/12 * 3
His savings = $7/4 or 1 ¾
Now, we convert the 7/4 (or 1 ¾) into a decimal.
1 ¾ when converted is decimal is 1.75
His Savings = $1.75
Answer:
Median
Step-by-step explanation:
Median divide a frequency distribution in two equal halves. Median lies at the mid point of any frequency distribution data of any values or quantities.
For example if we have any distribution as [5,7,10,15,8,6.65,12,15,2,3] here 6 will be the median of the distribution as 6 lies at the mid point of the distribution
Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.
Step-by-step explanation:
Given that:
Amount borrowed (p) = 900
Simple interest (r) = 1.5% = 0.015
Time (t) = 2 years
Amount he'll pay back (A) :
A = P(1 + rt)
A = 900(1 + 0.015(2))
A = 900(1 + 0.03)
A = 900(1.03)
A = $927
Answer:
D) (-1, -2)
Step-by-step explanation:
The local minimum is the bottom point on the left-side curve. Its coordinates are (-1, -2), matching choice D.