Answer:
n - 6 < -4
Step-by-step explanation:
6 being less than n hints at a subtraction equation, n coming first as the value of the constant is currently unknown. 'Less than -4' hints that -4 is the value on the other side of the inequality, < acting as the 'equal' sign in this sense.
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
12:15 does not belong, since that is a ratio of 4:5, whilst the others are all 3:4.
Answer:
hello your question is incomplete attached below is the complete question
answer :
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
Step-by-step explanation:
<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>
time = distance / rate
where distance can be calculated using this equation: sin 53° = 400 / x
hence x ( distance ) = 500 ft
rate = 150
therefore Time ( t ) to reach boat = 500 / 150 = 3.33 minutes
Time for jogging ( as calculated ) = 3.69 minutes
therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes
<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>
lets assume Distance to swim = x ( according his sister )
determine the value of x =
therefore X = 1456.02 feet
∴
Total time to be taken if Daniel follows his sister's instruction = 1456.02 / 150 = 9.71 minutes
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
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