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Natali [406]
3 years ago
13

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an

equation using the quadratic formula. What are the solutions to the equation?
Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

              \underline{x\in\left\{-6\,,\ 1\right\}}

Step-by-step explanation:

x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1

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PLEASE HELP !! :)))
Irina18 [472]
C. -3 is passed through through 2 different point meaning it’s a vertical linear equation. So y=-3
5 0
3 years ago
Deane is flying to a destination that is 2745 miles away. The plane's average speed is 450 mph. Write the slope-intercept form o
Dmitriy789 [7]
The equation in y = mx+b form is y = -450x+2745

where,
x = number of hours that have passed by
y = distance to destination in miles

The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.

The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450
8 0
3 years ago
what is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the neare
seraphim [82]

Answer:

V≈25.13in³

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which of the following comparisons is correct?<br>-2 2<br>4&lt;−4<br>−6&lt; −5
zlopas [31]
<h3>Answer: Choice D)   -6 < -5</h3>

================================================

Explanation:

Let's go through the answer choices

  • A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
  • B) This is also false. The value 0 is smaller than 2. A number line might help show this.
  • C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
  • D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

4 0
4 years ago
Carly needed to study for 5/6 of an hour for 9 days. How many hours did she study?
vovikov84 [41]

Answer:

180 hours

Step-by-step explanation:

24 hrs in a day

5/6 of 24 is 20 and multiply it by 9 because there are 9 days

=180

3 0
3 years ago
Read 2 more answers
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