To solve problem 1 what you need to do is figure out how many miles the girls have walked so far and then subtract that from the total distance they must complete.
3/4-(3/10+1/4)
Step 1:Change the denominators so that way they are all the same
3/4=15/20
3/10=6/20 15/20-(6/20+5/20)
1/4=5/20
Step 2: Begin solving the problem
6/20+5/20=11/20
15/20-11/20=4/20
Step 3: Simplify your answer
4/20=1/5
Step 4 (is optional): Write your answer in a complete statement
The three girls walk 1/5mile together to school
Answer: A
I hope this is correct and if not I apologize for giving false information.
The x-intercept is (16, 0) and y- intercept is (0, 6).
<h3>What is intercept?</h3>
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given: 24x+64y=384
For y- intercept, put x=0
Then,
24*0+64y=384
64y= 384
y= 6
Now, for x- intercept put y=0
Then,
24x+64*0=384
24x= 384
x= 15
Hence, the x-intercept is (16, 0) and y- intercept is (0, 6).
Learn more about this concept here:
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A. 15
0 +0=0
0 +1 = 1
1+2=3
3+3=6
6+4=10
10+5 = 15
9514 1404 393
Answer:
b. -150
Step-by-step explanation:
We usually take elevation to be positive above sea level, and negative below sea level. If the elevation is below sea level, it is negative. If it is within 200 ft of sea level, the magnitude of the negative number is 200 or less. That is, the elevation must satisfy ...
-200 ≤ elevation < 0
The only answer choice in that range is -150.
Ethan's elevation in feet could be -150.
If
<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9
then
<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5
Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations
-<em>a</em> + <em>b</em> + 5 + 9 = 12
3<em>a</em> - 2<em>b</em> - 5 = 3
or
-<em>a</em> + <em>b</em> = -2
3<em>a</em> - 2<em>b</em> = 8
Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :
2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8
-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8
<em>a</em> = 4
Substitute this into the first equation above to solve for <em>b</em> :
-4 + <em>b</em> = -2
<em>b</em> = 2