Step-by-step explanation:
numbers one two and three are correct
Answer:
9 3/4 inches
Step-by-step explanation:
If we are finding how much taller Sara is, we need to subtract
6 ft 3 3/4 - 5 ft 6in
I like to line up vertically
6 ft 3 3/4
- 5 ft 6in
----------------
We need to borrow 1 ft and make it 12 inches
5 ft 3+12 3/4
- 5 ft 6in
----------------
5 ft 15 3/4
- 5 ft 6in
----------------
0 9 3/4 inches
Answer:
7/5
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, slope can be found using
y2-y2
x2-x1
So we just plug it in:
7-0
2+3
7/5 is your slope
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Answer:
y ≤ 6
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
Forty six times y is no more than 276
46 * y ≤ 276
<u>Step 2: Solve for y</u>
46 * y / 46 ≤ 276 / 46
y ≤ 6
Answer: y ≤ 6
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
