The given system of equations 4x + 4y = 32 and 3x + 24 = 3y has only one solution
<u>Solution:</u>
Given, system of equations are:
4x + 4y = 32 ---- eqn (1)
3x + 24 = 3y ----- eqn (2)
We have to determine whether the system has one solution, no solution, or infinitely many solutions.
Now let us solve the given system of equations to determine.
Now, eqn (1) can be written as,
4(x + y) = 32
x + y = 8
x = 8 – y
So, substitute "x" value in eqn (2) to get the value of "y"
3(8 – y) + 24 = 3y
24 – 3y + 24 = 3y
48 = 3y + 3y
y = 8
Then, x = 8 – 8 = 0
Hence we got x = 0 and y = 8
Hence, the given system of equations has only one solution (x, y) = (0, 8)
Answer:
x=1 if I understood correctly.
Step-by-step explanation:
At this point if you try all the integers, you will find that only 1 is the solution to this equation, because:
Hope I helped!
Answer:
10.5
Step-by-step explanation:
You can use ratios to solve this problem.
The original dimensions of the photo is
5 in. by 7 in.
This can be written as:
5:7
And the next is 7.5:?
Then you can use ratios to solve this.
5:7=
7.5:?
5*1.5=7.5 so you can multiply the other side by the same thing. 7*1.5=10.5
The width is 10.5 inches.
Answer:
See below
Step-by-step explanation:
A simple method is to count the bumps or flex spots on the graph then add 1.
This will give you the smallest degree possible but the actual degree may be higher. When asked for the smallest, you don't have to worry what the actual might be. In addition, if you look at the ends of the lines, this can tell you if the degree is an odd or even number. If the start of the line is going in the opposite direction of the end, then it is odd. Each of these polynomials are odd since the start and end are in opposite directions.
93. Two bumps so the smallest degree is 3
94. No real bumps but there is a flex spot and the line changes direction twice. The line ends go in opposite directions so degree must be odd. So smallest degree is 3
95. This one could be tough. Flattened sections like the middle of this can have a smallest degree of 4 or more depending on how long it stays flat. There are two bumps so without the flattened section the degree is 3 so far. The degree must be odd since the lines trails off in opposite directions. Because of the flatness of the middle I would say that section is a degree 4 so I'm guessing the smallest degree is 7.
96. Two bumps so smallest degree is 3
Answer:[10] Using the formula (n - 2)180/n for the vertex angle of a regular n-gon, we find that the vertex angle for a regular hexagon is 120 degrees and for a regular octagon it is 135 degrees.
Step-by-step explanation: