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Katena32 [7]
3 years ago
15

A student writes the equation for a line that has a slope of

Mathematics
2 answers:
forsale [732]3 years ago
5 0

Answer:

  • the problem statement and form fill disagree
  • the arithmetic with -(-8)+8 is erroneous

Step-by-step explanation:

The point-slope form of the equation of a line is ...

  y -k = m(x -h)

for a point (h, k) and a slope m.

The problem statement tells us m=-6 and (h, k) = (2, 8). Putting these values into the form gives ...

  y -8 = -6(x -2)

The first line of "the work" uses -8 instead of 8. We cannot tell if that is an error in the work, or a typo in the problem statement. Either way, they disagree.

__

The last line of "the work" adds -(-8) and +8 to give a result of 0. That is definitely an error, regardless of the above.

_____

<em>Comment on the result</em>

If the problem statement has no typo, the errors cancel and the student ended up with the right equation.

lutik1710 [3]3 years ago
4 0

Answer:

it should be -8

Step-by-step explanation:

because in the equation it shows -(-8) which is a double negative making it a double negative or positive. so you would subtract

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What is the equation of a line with an intercept of -3 and a slope of 5?
Setler79 [48]

Answer:

y= 5x-3

Step-by-step explanation:

We have an intercept of -3 and a slope of 5

We can use the slope intercept form of the equation

y= mx+b where m is the slope and b is the y intercept

Substituting in the known values.

y= 5x-3

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3 years ago
Amy's mother ordered a pizza to be delivered to their home. The bill for the pizza was $18. She gave the delivery man a 15% tip.
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18x.15=2.70
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Which is the equation of a line that has a slope of 1 and passes through point (5, 3)?
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Step-by-step explanation:

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A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per li
Lilit [14]

Answer:

Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.

Step-by-step explanation:

We can solve this by using <em>simultaneous equations</em>:

  1. Let us express the question in terms of equations

Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

Equation 1: 0.5a + 0.8b = 0.59(a+b)

Equation 2: a + b = 2000

From equation 2, a = 2000 - b (Let's call this equation 3)

    2. Substituting equations 2 and 3 in Equation 1:

0.5a + 0.8b = 0.59(a+b)

0.5(2000 - b) + 0.8b = 0.59(2000)

1000 - 0.5b + 0.8b = 1180

0.3b = 180

b = 600

Substitute in equation 3:

a = 2000 - 600

a = 1400

As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

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3 years ago
What is 15% of $150?'
AleksandrR [38]

Answer:

$22.50

Step-by-step explanation:

15% of 150=22.5

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