Answer:
<u>The correct answer is A. 1.5w² + 5w + 4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the portrait = 1.5 times its width in inches
Frame = 2 inches all along its perimeter
2. What is an expression for the area of the framed portrait in terms of w?
Let's recall that the area of a rectangle is length or height * width.
A = height * width
Now, we can replace in terms of w:
A = 1.5w * w
But we need to add the 2 inches of the frame, this way:
A = (1.5w + 2) * (w + 2)
A = 1.5w² + 2w + 3w + 4
<u>A = 1.5w² + 5w + 4</u>
<u>The correct answer is A. 1.5w² + 5w + 4</u>
Using a system of equations, the correct statement is given as follows:
B. The equation that represents this situation is 10 + x = -18. The second number is -28.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The numbers are x and y, and their sum is -18, hence:
x + y = -18.
The number y is 10, hence:
x + 10 = -18.
x = -18 - 10 = -28.
Which means that option B is correct.
More can be learned about a system of equations at brainly.com/question/24342899
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Option A: All real numbers is the right answer
Step-by-step explanation:
First of all, let us define domain
Domain is the set of all inputs to a function on which the function is defined
So
Given function is:
The given function will not be undefined for any value of x as there is no denominator which will make the function approach infinity
Hence,
Option A: All real numbers is the right answer
Keywords: Domain, functions
Learn more about functions at:
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Amount after 19 years is $14,480 (Rounded off)
Nearest hundred dollars = $14,500
Step-by-step explanation:
Compute compound interest using the following formula: A = P(1 + r/n) ^ nt
A= Total amount value
P = principle amount invested
r = rate of interest
n = numbers of years invested
A = $9,400 r =2.3% n =19 years
A= 9400 (1+2.3÷19) ^ 19 = $14,480 (Rounded off)
Amount after 19 years is $14,480 (Rounded off)
Nearest hundred dollars = $14,500
Let x be the variable.
36x^2 - 146x - 22 = 0
Let a = 36, b = -146, c = -22
The picture shows the set up. You do the math.