Answer:
Thank u so much have a good day too
Answer:
329.5
Step-by-step explanation:
From the table we see that the common difference d = 0.5 - (-6.5)
= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.
The first term a1 = -6.5.
The nth term = a1 + (n - 1)d so for our sequence we have:
49th term = -6.5 + (49 - 1)7
= -6.5 + 48 * 7
= -6.5 + 336
= 329.5 (answer).
The solutions for the given quadratic equation are x = -1 and x = 3. So, option B is correct.
<h3>What are the solutions to an equation?</h3>
- The solutions to an equation are the one that satisfies the equation and makes it true.
- There are different methods to solve an equation and find its solutions.
- These solutions are also called zeros or roots of the equation.
<h3>Calculation:</h3>
The given equation is 4x² - 8x - 12 = 0
Since it is a quadratic equation, it has 2 roots or solutions.
On factorizing the given equation,
4x² - 8x - 12 = 0
⇒ 4x² - 12x + 4x -12 = 0
⇒ 4x(x - 3) + 4(x - 3) = 0
⇒ (4x + 4)(x - 3) = 0
According to the zero-product rule,
4x + 4 = 0 or x - 3 = 0
So, x = -4/4 = -1 or x = 3
Therefore, the solutions of the given equation are -1 and 3.
So, option B) x = -1 and x = 3 is correct.
Learn more about solving an equation here:
brainly.com/question/25678139
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Answer:
The subway train can stop for a maximum of 2.5 minutes on each stop.
Step-by-step explanation:
Answer:
6 cups of yellow paint and 9 cups of red paint are required for 3 batches of orange paint.
Step-by-step explanation:
Consider the provided information.
A particular shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint.
We need to find the numbers of cups of yellow and red paint needed for 3 batches of orange paint.
For one batches of orange paint we need 2 cups of yellow and 3 cups of red.
So for 3 batches of orange paint we need:
2×3 = 6 cups of yellow paint.
3×3 = 9 cups of red paint.
The required number line is shown below.
