The graph of this quadratic function is a parabola. What is the equation of the axis of symmetry?y=x^2+-6x+5
Answers
Answer:
The answer to your question is x = 3
Step-by-step explanation:
Equation
y = x² + 6x + 5
Process
1.- Find the vertex
x² - 6x = y - 5
x² - 6x + (3)² = y - 5 + (3)²
(x - 3)² = y - 5 + 9
(x - 3)² = y + 4
Vertex = (3, -4)
2.- It is vertical parabola and the axis of symmetry is parallel to the y-axis and crosses the point 3.
The equation of the axis of symmetry is x = 3
See the graph below (blue line)
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In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C
the relative frequency of a blue on a spinner is 3/5.how many times would you expect a blue in 250 spins
Answers
Steps:
1. Take your X coordinate and plug it into your equation where the X is.
2. Take your Y coordinate and plug it into your equation where the Y is.
3. Distribute your Y to your numbers in the parenthesis.
4. Finally add the two numbers together.
5. See if you got the same answer on both sides of the equal sign.
Hope this helps! (:
We just test each option.
A. x = 11, y = 1
(x + 3)y = 14
(7 + 3)*2
10*2
20 = 14 This is not correct, so the option is wrong.
B. x = 11, y = 1
(x + 3)y = 14
(11 + 3)*1
14*1
14 = 14 This is correct, so the option is the correct.
So option B is the correct one. No need to test the other options.
I hope this helps.
Answers
Answer:
Step-by-step explanation:
According to the following pattern sequence ( ), it is Arithmetic Sequence, because every negative number is subtracted by
. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:
: nth term in the sequence
: 1st term
: term position
: Common difference
-Apply to the formula:
-Solve:
Therefore, the 24th term is .
Final answer:
The nth term of the sequence is given by the formula nth term = -1 + (n-1)(-3), resulting in a24 (the 24th term) being -70.
Explanation:
To find the nth term of any arithmetic sequence, you can use the formula: nth term = a + (n - 1)d where a is the first term and d is the common difference. In the given sequence -1, -4, -7, -10, the first term (a) is -1 and the common difference (d) is -3 (because each term is 3 less than the previous term).
So, the nth term formula for this sequence would be
nth term = -1 + (n-1)(-3)
To find the 24th term of the sequence (a24), you would substitute n with 24. So, a24 = -1 + (24-1)(-3) = -70.
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x + 60 inequality-lessthanorequalto 221; at most 161 pounds
x + 161 inequality-lessthanorequalto 221; at most 60 pounds
x + 60 inequality-lessthanorequalto 161; at most 221 pounds
Answers
221 - 60 =161
Answer:
The answer would be 161
Step-by-step explanation:
D
Answers
Final answer:
After subtracting the initial 5-minute cost from the total balance and dividing by the cost of additional minutes, you would have about 24 minutes remaining on your long-distance calling card when rounding to the nearest whole number.
Explanation:
To solve how many minutes you have remaining on your long-distance calling card, you'll first need to subtract the cost of the first 5-minute period from your total balance, which gives you $12.00 - $4.25 = $7.75.
Next, you would divide this amount by the cost of each additional minute which is $0.40. This calculation ( $7.75 / $0.40 ) results in a total of approximately 19.375 minutes.
Therefore, since you already have 5 minutes from the initial payment, you would add these two values together (5 + 19 = 24 minutes). But, according to the task you need to round your answer to the nearest whole number. As such, you can say you have approximately 24 minutes left on your card.
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Final answer:
To determine the number of minutes remaining on the calling card, subtract the cost of the first 5 minutes from the remaining balance and divide by the additional cost per minute. You have approximately 19 minutes remaining on the calling card.
Explanation:
To determine the number of minutes remaining on the calling card, we need to subtract the cost of the first 5 minutes from the remaining balance and then divide the result by the additional cost per minute.
- Subtract the cost of the first 5 minutes ($4.25) from the remaining balance ($12.00): $12.00 - $4.25 = $7.75.
- Divide the result by the additional cost per minute ($0.40): $7.75 ÷ $0.40 ≈ 19.38 minutes.
- Round the result to the nearest whole number: 19.38 ≈ 19 minutes.
Therefore, you have approximately 19 minutes remaining on the calling card.
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Answers
Answers
Answer:
6x-y=4 in standard form.
Step-by-step explanation:
Answer:
-6x+y=-4
Step-by-step explanation:
subtract 6x from both sides