Explain how to graph the following including asymptotes and key features. f(x)=3^x+2

Simplify the expression 6(x + 2) - 4

dsp73

6(x + 2) - 4

= 6x + 6(2) - 4

= 6x + 12 - 4

= 6x + 8

4 0

3 years ago

Read 2 more answers

Need help on Homework. Many many Points.

Alex73 [517]

Answer:

Half off is better, you save 5 dollars.

If you don't see how I wrote those equations let me know because that's the main takeaway from this exercise, not as much the other stuff I did below that.

Step-by-step explanation:

Kinda a system of equations problem. Let's set them up.

The first one is buy 1 pair at full price get the scond pair at half price. if we use price of the first as P1 and price of the second as P2 this works out to:

P1 + .5*P2

The second offer is but one pair at ful price then the second has 10 dollars deducted. This will look like:

P1 + P2-10

Let me know if you don't get how I made those expressions. Now you could plug the price the question gives you into both and just see which is smaller, but I'm going to show you when the dals switch with whch is better.

Again, feel free to just plug in what I've given you so far.

The trick is to set them equal to each other.

P1 + P2 - 10 = P1 + .5P2 Subtract P1 from both sides

P2 - 10 = .5P2 divde both sides by .5 (or multiply by 2, same thing.)

2P2 - 20 = P2 add 20 to both sides

2P2 = 20 + P2 subtract P2 from both sdes

P2 = 20

So when P2 equals 20 the deals are the same. if P2 is below 20 the 10 dollas off is the better deal, and if P2 is greater than 20 the half off deal is better.

Since both shoes cost 30 we don't have to pick which is which, and since it is greater than 20 the half off deal is better. Now plug into both equations to find by how much.

P1 + .5P2 = 30 + .5*30 = 45

P1 + P2 - 10 = 30 + 30 - 10 = 50

50-45 = 5

So you save 5 dollars

6 0

4 years ago

Someone help me out on these 2 geometry questions, ASAP!!! “Complete the proofs”

vodomira [7]

Question 11

1) $\overline{BA} \cong \overline{FA}$ , $\angle 1 \cong \angle 2$ (given)

2) $\angle A \cong \angle A$ (reflexive property)

3) $\triangle AEB \cong \triangle ACF$ (ASA)

4) $\overline{AC} \cong \overline{AE}$ (CPCTC)

Question 12

1) Isosceles $\triangle ACD$ with $\overline{AC} \cong \overline{AD}$ , $\overline{BC} \cong \overline{ED}$ (given)

2) $\angle ACD \cong \angle ADC$ (angles opposite congruent sides in a triangle are congruent)

3) $\angle ACB$ and $\angle ACD$ are supplementary. $\angle ADC$ and $\angle ADE$ are supplementary (angles that form a linear pair are supplementary)

4) $\angle ACB \cong \angle ADE$ (supplements of congruent angles are congruent)

5) $\triangle ABC \cong \triangle AED$ (SAS)

6) $\overline{AB} \cong \overline{AE}$ (CPCTC)

7) $\triangle ABE$ is an isosceles triangle (a triangle with two congruent sides is isosceles)

Note: I changed the names of the segments in Question 11 because of the word filter.

5 0

2 years ago

Find the value of x in each case

NNADVOKAT [17]

Step-by-step explanation:

180-(90° +32°)

180- 122= 58

triangle =180°

180° - (58° +58°)

180° - 116°= 64°

4 0

3 years ago

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Parsons Bank offers two checking-account plans. The No Frills plan charges 25 cents per check whereas the Simple Checking plan

deff fn [24]

No frills = $0.25(x)
simple = $6 + $0.05(x)
set equal to each other
0.025(x) = 6 + 0.05(x)
rearrange like terms together
0.025(x) - 0.05(x) = 6
0.020(x) = 6
x =300
Simple plan will be cheaper once you use more than 300 checks

4 0

3 years ago