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3 years ago

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

Mathematics

2 answers:

Juliette [100K]3 years ago

4 0

Y + 1 = -3(x - 5)
y + 1 = -3x + 15
y = -3x + 15 - 1
y = -3x + 14 <== or f(x) = -3x + 14

LenaWriter [7]3 years ago

4 0

Y+1= -3(x+5) in order to solve first write down the function, then find the current of the function.

Y+1=-3x-15 then this is the current of the function. Multiply the -3 times the X and the 5.

Y=-3x-14 finally this is the slope. To get the slope I added the 1 to the -15

Final answer= Y=3x+14

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3 years ago

Question 5^ Need help ... ASAP ... your help is really appreciated ...

goblinko [34]

Answer:

See below

Step-by-step explanation:

I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)

Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4= $\frac{13}{4}$ and 11/4= $\frac{11}{4}$ . Next, we need to read the question carefully. It's asking us to place the point in the ratio 3 to 1 from C to D. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):

$\frac{13}{4}*3 = \frac{39}{4}\\ 8-\frac{39}{4} = \frac{-7}{4}\\\frac{11}{4}*3 = \frac{33}{4} \\-2+\frac{33}{4} = \frac{25}{4}$

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7 0

3 years ago

Over the course of one day, a store owner determined that 80% of customers bought a drink and 30% of customers bought a snack. I

svetoff [14.1K]

Answer:

200

Step-by-step explanation:

Let the total number of customers that day be "x"

30% of total customers bought a snack and that is 120.

So we can say:

30% of total (x) is 120

Note: 30% converted to decimal is 30/100 = 0.3

This can be translated to an algebraic equation as:

0.3x = 120

Now, we can solve for x, the total customers:

0.3x = 120

x = 120/0.3

x = 400

Since, 80% bought drink, we find 80% of 400:

80% = 80/100 = 0.8

0.8 * 400 = 320

The store sold 320 drinks and 120 snacks. So drinks outweigh snacks be:

320 - 120 = 200

So,

200 more drinks than snacks

3 0

3 years ago