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3 years ago

Which table shows a proportional relationship between x and y?

Mathematics

2 answers:

MrRissso [65]3 years ago

7 0

The answer would be the first one

MaRussiya [10]3 years ago

3 0

The first option because y is x times 4 in this table

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Which equation creates an infinite number of solutions when solved for a system with <img src="https://tex.z-dn.net/?f=y%3D8x-9"

Tatiana [17]

Answer:

d) 4y − 32x = -36

Step-by-step explanation:

If there are an infinite number of solutions, the equations represent the same line.

y = 8x − 9

y − 8x = -9

4y − 32x = -36

6 0

3 years ago

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The equation -x = y + 7 written in slope-intercept form is

Drupady [299]

I think that it's B, y = -x - 7 because first you'd subtract y to get it on the other side then add x and then you'd need to make the y positive so you would divide x + 7 by -1 and that would make it y = -x - 7.

8 0

3 years ago

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50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

3 years ago

Pls help immediately

STatiana [176]

Answer:

(3,2)

Step-by-step explanation:

5 0

3 years ago

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Given: Rhombus ABCD. If mBAD is 64 degrees, then the mDCA is ___ degrees.

Marta_Voda [28]

Answer: 32 degrees

Step-by-step explanation:

6 0

2 years ago