Answer:
D) The expression equals 0
Step-by-step explanation:
-8 + 8 = 0
the negative and positive cancel eachother out
233 base five = 2 x 5^2 + 3 x 5 + 3 x 1 = 2 x 25 + 15 + 3 = 50 + 18 = 68 base 10
11000 base two = 1 x 2^4 + 1 x 2^3 = 16 + 8 = 24 base ten
43E base twelve = 4 x 12^2 + 3 x 12 + 11 x 1 = 4 x 144 + 36 + 11 = 576 + 47 = 623 base ten
Answer
Attached the graph
Step by step explanation
Y = -1/4z + 5
Let's form the table values
Here z is the independent variable and y is the dependent values.
Let's take z = -1, 0, 1, 2 and find the corresponding y-values
<u>z y</u>
-1 5.25
0 5
1 4.75
2 4.5
Now let's plot the points and draw the graph.
Here is the graph.
Answer:
1) Slope-intercept form
2) 9200
3) 2 months
4) (0,200)
Step-by-step explanation:
A shelter had 200 animals in foster homes at the beginning of spring and the number of animals in foster homes at the end of the summer could be represented by
y=3000x+200 ............ (1)
Where x is the number of months and y is the number of animals.
1) The equation (1) is written in the slope-intercept form of a straight line equation.
2) After 3 months means x = 3 and the number of animals in the foster home after 3 months will be (3000 ×3 + 200) = 9200 (Answer)
3) Let after x months the animal population will become 6200.
So, 6200 = 3000x + 200
⇒ 3000x = 6000
⇒ x = 2 months (Answer)
4) If we put x = 0 in equation (1), then we get y = 200.
So, (0,200) is a point on the graph of the line. (Answer)
Step-by-step explanation:
Let's represent the two integers with the variables 
and 
.
From the problem statement, we can create the following two equations:
With the first equation, we can subtract from both sides to isolate the variable to the left-hand side:
Now that we have a value for , we can plug it into the second equation and solve for :
Now, let's move everything to one side of the equation:
Factoring this quadratic will give us two values for :
Since we now know , we can plug this back into either of the original equations to get a value for , which will be 
.
So the two numbers that sum to 
and have a product of 
are 
.
