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lord [1]
3 years ago
15

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the

graph, then it must be the same function.
Mathematics
2 answers:
andre [41]3 years ago
7 0

Here, we have to examine the equation of the straight line which is denoted by: y = m x +c where "m" is the slope which represents the steepness and c is the y-intercept

Here, the two linear functions have the same slope "m" and the same y-intercept "c". When both these are the same, the two linear functions are representing the same straight line.

Therefore, Jeremy is correct in his argument.


ch4aika [34]3 years ago
4 0
Jeremy is correct.
If two lines have the same slope and y-intercept, they are the same line.
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Find the maxium valve C=6x+2y. Subject to the following constraints x≥0, x≤5, y≥0, 4x-y≥1
Vadim26 [7]

Answer:

The maximum value of C is 68

Step-by-step explanation:

we have the following constraints

x\geq 0 ----> constraint A

x\leq 5 ----> constraint B

y\geq 0 ----> constraint C

4x-y\geq 1 ----> constraint D

Find out the area of the feasible region, using a graphing tool

The vertices of the feasible region are

(0,0),(5,19),(5,0)

see the attached figure

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

C=6x+2y

For (0,0) -----> C=6(0)+2(0)=0

For (5,19) -----> C=6(5)+2(19)=68

For (5,0) -----> C=6(5)+2(0)=30

therefore

The maximum value of C is 68

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3 years ago
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7 0
2 years ago
The start of the hike, a hiker was at -50 below sea level and climbs a rate of 15 feet per minute
Helen [10]

Answer:

B. -50+15t>5

Step-by-step explanation:

Because the hiker climbs at a rate of 15 feet per minute, the hiker will climb 15t feet in t minutes. Therefore, -50 + 15t would represent where the hiker would be after t minutes. According to the problem, -50 + 15t is greater than 5

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Write an equation for line N
Annette [7]

Answer:

y=x-1

Step-by-step explanation:

6 0
3 years ago
I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful
Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let f(x)=\sqrt{x} and g(x)=7x^2+4x+1. Then, the given equation is essentially f(g(x))=\sqrt{7x^2+4x+1}. Thus, we can use the chain rule.

Recall the chain rule: \frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x). So, let's find the derivative of each function:

f(x)=\sqrt{x}=x^\frac{1}{2}

We can use the Power Rule here:

f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2}  })=\frac{1}{2\sqrt{x}}

Now:

g(x)=7x^2+4x+1

Again, use the Power Rule and Sum Rule

g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4

Now, we can put them together:

y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)

y'=\frac{14x+4}{2\sqrt{7x^2+4x+1} } =\frac{7x+2}{\sqrt{7x^2+4x+1} }

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3 years ago
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