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maria [59]
3 years ago
12

Show work ASAP!! Please

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

9514 1404 393

Answer:

  a) x = -1, x = 4

  b) y = x^2 -3x -4

Step-by-step explanation:

a) We observe the x-intercepts are x = -1 and x = 4. These are the solutions to y = 0, which is usually what we want in cases like this.

The solutions are x=-1 and x=4.

__

b) We know two of the factors are (x +1) and (x -4). There may be an additional constant factor for vertical scaling. One point we can check is the y-intercept.

  y = a(x +1)(x -4)

For x=0, this is ...

  y = a(1)(-4) = -4a

The y-intercept is y = -4, so we have a=1.

The factored equation is ...

  y = (x +1)(x -4)

Multiplying this out gives the equation in standard form:

  y = x^2 -3x -4

__

<em>Additional comment</em>

Your teacher may want the standard form equation to be ...

  x^2 -3x -4 = 0

This is the equation of two specific points: x=-1 and x=4. It is not the equation of the graph.

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Subtract and write out in minutes and seconds 87 seconds from 100 seconds
alexandr402 [8]

Answer:

  00:13  mm:ss

Step-by-step explanation:

There are 60 seconds in a minute. This fact can be used to convert the time period(s) to minutes and seconds either before or after you do the subtraction.

<h3>Difference</h3>

It is often convenient to do arithmetic with all of the numbers having the same units. Here, we are given two values in seconds and asked for their difference.

  100 s - 87 s = (100 -87) s = 13 s

The difference between the two time periods is 0 minutes and 13 seconds.

<h3>Conversion</h3>

If you like, the numbers can be converted to minutes and seconds before the subtraction. Since there are 60 seconds in a minute, the number of minutes is found by dividing seconds by 60. The remainder is the number of seconds that will be added to the time in minutes:

  87 seconds = ⌊87/60⌋ minutes + (87 mod 60) seconds

  = 1 minute 27 seconds

  100 seconds = ⌊100/60⌋ minutes + (100 mod 60) seconds

  = 1 minute 40 seconds

Then the difference is found in the same way we would find a difference involving different variables. (A unit can be treated as though it were a variable.)

  (1 min 40 s) -(1 min 27 s) = (1 -1 min) + (40-27 s) = 0 min 13 s

The difference between the two time periods is 0 minutes and 13 seconds.

5 0
1 year ago
Which of the lines graphed in the diagram represents the equation 6x + 4y = 8
Blizzard [7]
In order to easily discern which graph is a proper representation of 6x + 4y = 8, you first need to convert the equation to y = mx+ b, also known as slope-intercept form. Here's how you can do this:
6x + 4y = 8
4y = -6x + 8
y = -1.5x + 2
The +2 tells you that your line will intercept the vertical y-axis at (0, 2). This narrows it down to graphs a and d. Then, because you have a NEGATIVE number in front of your x (it's -1.5), you can tell that your graph will be going down as it moves from left to right. This leaves you with graph d as your answer!
6 0
3 years ago
Read 2 more answers
Put the following equation of a line into slope-intercept form, simplifying all fractions. 15x - 3y = 15​
MaRussiya [10]
Slope= 5
X-intercept= -5/5 = -1
Y-intercept= 5/1 = 5.0000000
8 0
2 years ago
Pattern x: Starts at 0. Rule: Add 3.
raketka [301]
I think (0,0) is the only one that starts at 0 for both x and y and stay the same if the add the 3 to x and 6 to y.
5 0
3 years ago
PWEASE HELP ASAP my friends and I cant figure this out I'm hoping one of u guys can
Degger [83]

The number of viruses was 4000 times greater than number of protozoa.

Step-by-step explanation:

Given,

Number of protozoa = 5*10^5

Number of viruses = 2*10^9

Let,

x be the number of times number of viruses is greater than number of protozoa.

Number of viruses = Number of time * Number of protozoa

2*10^9=(5*10^5)x

Dividing both sides by 5*10^5

\frac{2*10^9}{5*10^5}=\frac{(5*10^5)x}{5*10^5}\\\\4*10^3= x\\x=4*10^3 \\x=4000

The number of viruses was 4000 times greater than number of protozoa.

Keywords: division, scientific notation

Learn more about division at:

  • brainly.com/question/10046556
  • brainly.com/question/100704

#LearnwithBrainly

3 0
3 years ago
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