Answer:
Step-by-step explanation:
( -1 + 4)/(4 + 4)= 3/8
Answer:
Step-by-step explanation:
I cant remember how to do it but one way would be to find the series expansion of this at x = ∞.
Answer: 15 goats
Step-by-step explanation:
h = hens - they have 2 legs
g = goats - they have 4 legs
The equations would be:
h + g = 19
2h + 4g = 68
To solve this, I personally prefer substitution, we're isolating h since we need to find g:
h + g = 19
h = 19 - g
Now that we have h, we can plug this into the second equation:
2h + 4g = 68
2(19 - g) + 4g = 68
38 - 2g + 4g = 68
2g = 30
g = 15
There are 15 goats.
Adding onto this, 19 - 15 = 4, so there are 4 hens.
Answer:
Select one of the two bottom statements which both read "To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation ."
Step-by-step explanation:
The y-intercept of a function is the point where the graph intersects the y-axis. Since the y-axis is the vertical line through the origin, we can start at the origin (0,0) and move up or down to where the line crosses the axis. This (0,y) point is the y-intercept. It is always (0,y) because it is located on the y-axis where x=0.
The slope of a function of a function is the rise/run or rate of change of the function. It can be seen on the graph of a line between any two coordinate pairs of the line. We know it as the variable m in linear function equations. To find it using an equation, we chose the point-slope form y
. We substitute two coordinate pairs from the line for
to find the missing value m or slope of the line.
Answer:
B
Step-by-step explanation:
For quadratic expression in this form, the first step is to multiply the number in front of
with the last term, the constant (with the sign in front as well). This is the "multiplied number".
Step 2 is to come up with 2 numbers which when multiplied is equal to the "multiplied number" in step 1 above and also add to the number in front of
.
For this problem, we would need 2 numbers that
- Add up to 27, and
- When multiplied, comes to -90 <em>(18 * -5 = -90)</em>
They already found the 2 numbers as expressed in the form shown
. The 2 numbers are +32 and -5.
<em><u>Do they add up to 27, as required?</u></em>
Yes, 32-5=27
<u><em>Do they come to -90 when multiplied?</em></u>
No, 32 * -5 = -160
Hence, they add up, BUT NOT multiplied.
So the answer choice B is right.