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3 years ago

What effect does "a" have on the parent function y=1/x

1 answer:

7 0

Y=1/x is a reciprocal function & its shape is a special hyperbola with one branch located in the 1st Quadrant and the second in the 3dr Quadrant and both are symmetric about the origin O.
If a> 1 → y=a/x and the 2 branches are equally stretched upward & downward
about the center O.
If 0 < a < 1→y =a/x, the 2 branches are equally stretched downward and upward about the center O.
If a<0, then the 2 legs are in the 2nd and 4th Quadrant respectively

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Simply the expression 7y+4x+4-2x+8

lisabon 2012 [21]

Simplified: 2x+ 7y + 12

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3 years ago

carly tutors stufents in math on the weekends and offers both thirty minute and sixtyminute sessions she earns $15for each thirt

Ronch [10]

Answer:

X=7

Step-by-step explanation:

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3 years ago

Felix earns $450 per week plus 3% of sales over $4800. Felix’s sales are $53000. How much does Felix earn?Felix earns $450 per w

kirill [66]

Answer:

Felix earns total $594 per week.

Step-by-step explanation:

Felix’s sales are $53000.

So, the amount of sales over $4800 will be: $\$53000-\$4800= \$48200$

Felix earns $450 per week and additional 3% of sales over $4800.

So, his additional income $= (\$4800\times 0.03)=\$144$

Thus, Felix's total income will be: $(\$450+\$144)=\$594$

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4 years ago

Hayden's rectangular container has a height of 6ft and a base area of 72 square feet. Find the volume of water it would take to

Zinaida [17]

Answer:

432ft^2

Step-by-step explanation:

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3 years ago

Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$