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3 years ago

Two functions are shown at the top.

Mathematics

1 answer:

Rina8888 [55]3 years ago

4 0

Answer:

Step-by-step explanation:

Rate of change is the slope

Function A:

Slope = change in y/Change in x

= (9-3)/(3-0) = 6/3 = 2

Function B:

Clearly the slope is 3

(y = mx + c, m is the slope)

Rate of change of B is more than A

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For 11-14, fill in the blank with >, <, or =.

Nataliya [291]

Answer:

first one is =

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3 years ago

A small business wants to meet the minimum medical loss ratio required. If projections show that the business will pay out an av

timama [110]

Answer:

$7120 or $7565 is the minimum average premium they should charge per policy holder

Step-by-step explanation:

Small business can charge 80-85% of the total value of the policy as premium.

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2 years ago

How many employees worked fewer than 8 hours yesterday?

Llana [10]

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3 years ago

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Find the GCF of the numbers using lists of factors.<br> 27,45<br> 30,48<br> 28,48,64

Svetach [21]

Answer:

1.) 6

2.)6

3,)4

Step-by-step explanation:

I think these are the gcf of the numbers

6 0

3 years ago

Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

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3 years ago