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Serga [27]
3 years ago
12

Through: (-3,2) and (0, -3)

Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

Answer:

y = -5/3x - 3

Assuming this is a linear function

Step-by-step explanation:

1. Use (y2-y1)/(x2-x1) to find the slope of the equation, assuming it is a linear function.

(-3-2)/(0+3) = -5/3 <--- slope

2. The y-intercept is going to be the (0, -3) point, since the point is directly on the y-axis.

3. Put both of those values into the new equation

y = -5/3x - 3

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Please please help me answer this
mihalych1998 [28]

Answer:

Graph 1: 2/9, 2: 1/2 3: 1/5

Step-by-step explanation:

To find slope you do y2-y1/x2-x1 (rise over run). For graph 1, y2=2, y1=0. x2=9,x1=0. 2-0=2, 9-0=0, so the overall slope is 2/9

7 0
2 years ago
Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and the local extrema. f (x )equa
Kaylis [27]

Answer:

f(x) is increasing in the intervals (-∞,-4) and (9,∞)

f(x) is decreasing in the ingercal (-4,9)

The local extrema is:

local max at (-4,496)

and local min at (9,-1701)

Step-by-step explanation:

In order to solve this problem we must start by finding the derivative of the provided function, which we can find by using the power rule.

if f(x)=ax^{n} then f'(x)=anx^{n-1}

so we get:

f(x)=2x^{3}-15x^{2}-216x

f'(x)=6x^{2}-30x-216

in order to find the critical points we mus set the derivative equal to zero, since the local max an min will happen when the slope of the tangent line to the given point is zero, so we get:

6x^{2}-30x-216=0

we can solve this by factoring, so let's factor that equation:

6(x+4)(x-9)=0

we can now set each of the factors equal to zero so we get:

x+4=0 and x-9=0

when solving each for x we get that:

x=-4 and x=9

These are our critical points, now we can build the possible intervals we are going to use to determine where the function will be increasing and where it will be decreasing:

(-∞,-4), (-4,9) and (9,∞)

so now we need to test these intervals in the derivative to see if the graph will be increasing or decreasing in the given intervals. So let's pick x=-5 for the first one, x=0 for the second one and x=10 for the third one.

When evaluating them into the first derivative we get that:

f'(-5)=84, this is a positive answer so it means that the function is increasing in the interval (-∞,--4)

f'(0)=-216, this is a negative anser so it means that the function is decreasing in the interval (-4,9)

f'(10)=84, this is a positive answer so it means that the function is increasing in the interval (9,∞)

Now, for the local extrema, we can see that at x=-4, the function it's increasing on the left of this point while it's decreasing to the right, which means that there will be a local maximum at x=-4, so the local max is the point (-4,496)

We can see that at x=9, the function it's decreasing on the left of this point while it's increasing to the right, which means that there will be a local minimum at x=-9, so the local min is the point (9,-1701)

7 0
3 years ago
What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ
Sonbull [250]
If we convert the given in its mathematical form, we have,

                      (30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

                      ((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,
  
                               <em>5x²/2y³

</em>
<em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
6 0
3 years ago
What is 59.69 written in standard form?
White raven [17]

It would be written as:

50+9+0.60+0.09

3 0
3 years ago
josh had 6 containers of strawberry yogurt. he had 7 fewer containers of strawberry than blueberry yogurt. than he ate 2 contain
photoshop1234 [79]
11 because 7+6=13.he ate 2=11
3 0
3 years ago
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