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alexandr402 [8]
3 years ago
12

How do you solve 3/2÷1\4=n then n is in between

Mathematics
1 answer:
insens350 [35]3 years ago
3 0
Your answer is n = 6
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(NO LINKS) I BEG U HALP FELLOW SMART PPL
bazaltina [42]

Answer: See the image below for the filled out table.

The other root is x = -2

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

Explanation:

The turning point is at (1, -45) which is the vertex. This is where the graph goes downhill, and then turns around to go uphill, or vice versa. Depending on the direction, the vertex is the lowest point or the highest point on the parabola.

We have (h,k) = (1,-45) as the vertex, so h = 1 and k = -45

y = a(x-h)^2 + k

y = a(x-1)^2 + (-45)

y = a(x-1)^2 - 45

Now plug in any other point from the table. You cannot pick (1,-45) or else you won't be able to solve for the variable 'a'. Let's go for (0,-40)

We'll plug x = 0 and y = -40 into the equation above to solve for 'a'

y = a(x-1)^2 - 45

-40 = a(0-1)^2 - 45

-40 = a(-1)^2 - 45

-40 = a - 45

a-45 = -40

a = -40+45

a = 5

Therefore, the equation for this parabola is

y = 5(x-1)^2 - 45

As a way to check, we can plug in something like x = -3 to find that...

y = 5(x-1)^2 - 45

y = 5(-3-1)^2 - 45

y = 5(-4)^2 - 45

y = 5(16) - 45

y = 80 - 45

y = 35

Which matches what the table shows in the first column. I'll let you verify the other columns. As you can probably guess at this point, we'll plug in the x values to get the corresponding y values.

So for x = -2, we get...

y = 5(x-1)^2 - 45

y = 5(-2-1)^2 - 45

y = 5(-3)^2 - 45

y = 5(9) - 45

y = 45 - 45

y = 0

The result of 0 here indicates we have a root at x = -2. This is the other x intercept. The x intercept already given to us was x = 4.

The rest of the table is filled out using the same idea. You should get what you see below.

3 0
3 years ago
How does changing the number outside the parentheses of an exponential function change your graph? y = a(b)^x
Zarrin [17]

Answer:

See Below.

Step-by-step explanation:

We have the function:

y=a(b)^x

Depending on the behavior of the coefficient, many things can happen. The parent exponential function has a=1. If a is something other than 1, however, there are three main changes.

Let’s use b=2 to illustrated the examples.

(In the graphed examples, below, the parent function (with b=2) is the red curve.)

  • If <em>a</em> is a positive, rational number greater than 1.

If a is a positive number other than 1, say 2, then this represents a vertical stretch.

In other words, our function is stretched closer to the y-axis.

(This is the blue curve. It is closer to the y-axis than the parent function (red curve).)

  • If <em>a</em> is a positive, rational number greater than 0 but less than 1.

If a is a number between 0 and 1 (so a fraction), say, 1/2, then this represents vertical compression.

In other words, our function gets farther away from the y-axis.

(This is the black curve.)

  • If <em>a </em>is a negative.

If a is <em>negative</em>, then this means that the graph was flipped over the x-axis.

(This is the green curve.)

Note that if we have something such as a=-2 or a=-1/2, this means that the function we flipped over the x-axis first and <em>then</em> vertically stretched or compressed.

(And example of this is illustrated with the orange curve).

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3 years ago
a house plan is drawn to a scale of 1 cm=2 metres.What is the length of a window 1.5cm long on the plan?
Margarita [4]
1cm=2m therefore 1.5cm=3 meters because .5 is half of 1 and 1 is half of 2 enjoy!=)
7 0
3 years ago
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What is the slope of the line that passes through the points (-3,3)and (-3,13)
alexandr402 [8]

Answer: the slope is undefined

Step-by-step explanation: do the equation (13-3)/(-3-(-3)=slope. 13-3 is 10. -3-(-3)=-3+3 and is 0. You’re left with 10/0. You can’t decide by 0, so you’re slope is undefined

7 0
3 years ago
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Please help i only have a few minutes left
Leni [432]

Answer:

Negative effects of the Mongol Empire's expansion into Western europe, East Asia, include the wiping out of people that resisted given the violent nature of their invasions.

Positive effects include a century of peace those under under Mongol rule. This stability allowed for the reopening of the Silk Road trading routes between China and Europe, increasing cultural exchange and wealth all along the trade paths including Western Africa, East Asia and Europe.

Step-by-step explanation:

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