Answer: the two numbers are 7 and -27
Step-by-step explanation:
Let the two numbers be a and b
From the question,
a + b = -27.......eqn 1
a - b = 41............eqn 2
Sum the two equations
2a = 14
Divide both sides by 2
a = 14/2; a = 7
Substitute a = 7 into equation 2
a - b = 41
7 - b = 41
Make b the subject of the equation
-b = 41 -7
-b = 34
b = -34
Check:
a + b = -27, slot the values of a and b
7 + (-34) = -27
7- 34 = -27
I hope this is clear, please mark as brainliest answer
Minor base: b=19 inches
Height: h=12.6 inches
Major base: B=29.2 inches
Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2
Answer: The area of the trapezoid is 303.66 square inches
Answer:
Step-by-step explanation:
p(x) = |x|
in : R let : y = |x|
calculate : x
y² = |x| ²
y² = x²
y² - x²= ( y - x)( y +x) by identity
y = x or y = - x
the inverse : y = x or y = - x
conclusion : the inverse is : g(x) = |x|
Answer:
c. g(x) = 4x^2
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.
We can then look and see that g(1) = 4 as shown by the point given to us on the graph.
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like
4(1)^2.
1^2 = 1, and 4(1) = 4,
so g(1) = 4. and our point is (1,4).
This is the same as the graph so this is the CORRECT answer.
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.
Option D:
once we plug in 1 for x, our equation looks like
16(1)^2
1^2 = 1, and 16(1) = 16,
so g(1) = 16. and our point is (1,16).
This is different than the graph so this is the WRONG answer.
If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A bike rental company charges a fee per hour.
The charge, in dollars, is the same each hour.
The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.
Then the linear equation is given as
Then the rate of change of the function expressed as a unit rate will be
More about the linear system link is given below.
brainly.com/question/20379472
#SPJ1
