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Zarrin [17]
3 years ago
6

(-5,-1), m=-5/4 I'm using that as a fraction

Mathematics
1 answer:
inessss [21]3 years ago
6 0
Point slope form
y-y1=m(x-x1)
m=slope
(x1,y1) is a point

(-5,-1)
x1=-5
y1=-1
m=-5/4

y+1=-5/4(x+5)
y=-5/4x-29/4
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An 8-ounce box of Crispy Crackers costs $1.59 and a 32-ounce box costs $6.79. Which box is the better buy?
Aleksandr-060686 [28]

Answer: 8 oz

Step-by-step explanation:

Cost less per oz

3 0
3 years ago
Find the exact location of all the relative and absolute extrema of the function. HINT [See Examples 1 and 2.] (Order your answe
icang [17]

Answer:

  • (-1, -32) absolute minimum
  • (0, 0) relative maximum
  • (2, -32) absolute minimum
  • (+∞, +∞) absolute maximum (or "no absolute maximum")

Step-by-step explanation:

There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.

The derivative is ...

  h'(t) = 24t^2 -48t = 24t(t -2)

This has zeros at t=0 and t=2, so that is where extremes will be located.

We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.

  h(-1) = 8(-1)²(-1-3) = -32

  h(0) = 8(0)(0-3) = 0

  h(2) = 8(2²)(2 -3) = -32

  h(∞) = 8(∞)³ = ∞

The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.

The extrema are ...

  • (-1, -32) absolute minimum
  • (0, 0) relative maximum
  • (2, -32) absolute minimum
  • (+∞, +∞) absolute maximum

_____

Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.

5 0
3 years ago
Explain how you can use a number line to show that 5/8 is greater than 3/8
vladimir2022 [97]


You can start by drawing a number line and labeling it with eighths. ( 1/8, 2/8, etc.) Then you can place a dot on 3/8 and 5/8. From there, it's clear to see that 5/8 is greater than 3/8.

6 0
2 years ago
Read 2 more answers
What does a rational number plus an irrational number equal?
galben [10]
The sum must be irrational in contradiction to it being rational
3 0
2 years ago
What is the value of x in the equation 3.5x+5.4=19.4
kipiarov [429]

Answer: x = 4

Step-by-step explanation: To solve this equation, we could go right to our steps of subtracting 5.4 from both sides, but I would do a slightly different approach.

Since I hate working with decimals, I would get rid of them.

We can do this by multiplying both sides of the equation by 10, and remember to multiply every term by 10 to keep it balanced.

*Multiplying by 10 shifts the decimal point 1 place to the right

So we have 35x + 54 = 194 which looks a lot better.

Now subtract 54 from both sides to get 35x = 140.

Now divide both sides by 35 and x = 4.

4 0
1 year ago
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