Answer:
Step-by-step explanation:
We have f(x) and g(x). We are to evaluate each of these functions at the domain values given (1, 2, 3, 4, 5, and 6) and see where the output is the same.
and f(1) = 15
and f(2) = 16
and f(3) = 15
and f(4) = 12
and f(5) = 7
and f(6) = 0
Now for g(x) at each of these domain values:
g(1) = 1 + 2 and g(1) = 3
g(2) = 2 + 2 and g(2) = 4
g(3) = 3 + 2 and g(3) = 5
g(4) = 4 = 2 and g(4) = 6
g(5) = 5 + 2 and g(5) = 7
g(6) = 6 + 2 and g(6) = 8
It looks like the outputs are the same at f(5) and g(5). Actually, the domains are the same as well! f(5) = g(5)
The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3
Let's check all functions.
1. The function f(x)=x²<span>+2x when evaluated with 3 gives you the value of 3:
Evaluated with x means that</span> x = 3.
f(3) = 3² + 2 * 3 = 9 + 6 = 15
15 ≠ 3, so, this is not correct.
2. f(x)=x²<span>-3x when evaulated with -3 give you the value of 3
Evaluated with -3 means that x = -3.
(f-3) = (-3)</span>² - 3 * (-3) = 9 + 9 = 18
18 ≠ 3, so, this is not correct.
3. f(x)=x²<span>+2x when evaluated with -3 gives you the value of 3
</span> Evaluated with -3 means that x = -3.
f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
3 = 3, so this is correct.
4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
Evaluated with 3 means that x = 3.
f(3) = (3)² - 3 * 3 = 9 - 9 = 0
0 ≠ 3, so this is not correct.
Answer:
The amount of fabric she needs is 3/4 yards
Step-by-step explanation:
To calculate the amount of fabric needed, we need to subtract the sum of what she has at school and at home from what she needs.
What she has can be calculated by adding 3 1/4 + 1 1/2
This would be easier in terms of decimals.
3 1/4 = 3.25 (1/4 = 0.25)
while 1 1/2 = 1.5(1/2 = 0.5)
Adding both, we have 3.25 + 1.5 = 4.75 yards
What is needed is 5 1/2 yards = 5.5 yards
What is needed more is thus 5.5 yards - 4.75 yards = 0.75 yards
Mathematically 0.75 in decimals = 3/4 in fraction form
Answer:
Step-by-step explanation:
<1 = <5 Corresponding angles.
<5 + <6 = 180° Angles making up the same straight line are supplementary.
<1 + <6 = 180° <1 and <5 are equal.
<6 = 180° - <1 If we know <1 we can easily find six. It is <1s supplement.
