Answer is 14x
Step by step
2x + 5 = 10 - 3x
Let’s start with 2x + 5 = 7 and you bring the x with you which is 7x
Now you do 7x = 10 - 3x , equal sign is plus am guessing and then 10 - 3x is 7x so
7x + 7x = 14x
Let's assume
Raj's age is x years
Zia's age is y years
we are given
Raj is three years older than zia
so, we get

now, we can solve for y

the sum of the squares of their ages is 369
so, we get

now, we can plug back y

now, we can solve for x





Since, age can not be negative
so, we will only consider positive

now, we can find y-value


So,
Raj's age is 15 years
Zia's age is 12 years...........Answer
Answer:
Area of Circle 1=>64(pi) units^2
Area of Circle 2=>9(pi) units^2
Step-by-step explanation:
Circumference=2(pi)r
Circle 1: 2(pi)r=16(pi)
Divide by 2(pi) on both sides
r=8 units
Area=(pi)r^2
Area of circle 1=>(pi)*(8^2)
Area of Circle 1=>64(pi) units^2
Circle 2: 2(pi)r=6(pi)
Divide by 2(pi) on both sides
r=3 units
Area=(pi)r^2
Area of circle 2=>(pi)*(3^2)
Area of Circle 2=>9(pi) units^2
The answer is A.
The way you know this is by graphing the first function.
The second function is in a different format, so you just have to isolate Y.
-1/3x + y = -1
y= 1/3x -1 OR y= -1 + 1/3x
both of the functions have the same slope, but different y-intercepts. therefore, they'll never touch. making them infinite solutions.
it's also A because both of the slopes are positive, the slopes in graph D are negative.
So, the answer is A.
Hope this helps! xx
Answer:
(A) The rate of change in the price of a bushel of corn in the current year is $7.
(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.
Step-by-step explanation:
The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.
Part A:
The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.
The formula to compute the slope is:

Consider the ordered pairs: (4, 28) and (10, 70)
Compute the slope of the line as follows:


Thus, the rate of change in the price of a bushel of corn in the current year is $7.
Part B:
The data for the price of bushels in the previous year is as follows:
Number of Bushels Price
2 10
4 20
6 30
8 40
Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:
Consider the ordered pairs: (2, 10) and (6, 30)


The rate of change in the price of a bushel of corn in the previous year is $5.
Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.