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Lorico [155]
3 years ago
13

What is the graph of the equation 4x – 5y = 15?

Mathematics
2 answers:
Delvig [45]3 years ago
8 0

Answer:

The right graph is A.


Step-by-step explanation:

When x=0, -5y=15, y=-3

That means (0,3) is on that line.

When y=0, 4x=15, x=15/4

That means (15/4,0) is on that line too.

Based on the two points, the graph is A.


Sliva [168]3 years ago
6 0

Answer:

ans is A

Step-by-step explanation:

heres another way to solve this

convert the eqn to standard form:

4x-5y = 15

15+5y = 4x

5y = 4x - 15

y = 4x/5 - 3

with y=mx+C, where m is slope and C is y-intercept

slope is 4/5 positive and y-intercept is -3

the ans is a


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You invested $100 at 8.2% which is compounded annually for 7 years. How much will your $100 be worth in 7 years?
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Answer:

57.4%

Step-by-step explanation:

8.2 × 7 = 57.4

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7 0
2 years ago
6 times the sum of 3 consecutive odd intergers is -18
Lyrx [107]
The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
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To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
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The sum of these three consecutive odd integers:
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x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
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Six ("6") times the sum of these 3 (three) consecutive odd integers =
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6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
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Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1"; 
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{6(3x + 6) } / 6 = -18 / 6 ;  to get:
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3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
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3x + 6 - 6 = -3 - 6 ; to get:
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3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
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3x / 3 = -9 / 3 ;  x = - 3 ;
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Remember, from above:
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Let "x" be the first odd integer.  We know that "x = -3".
         Is this an odd integer? Yes!
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Let "(x+2)" be next consecutive odd integer.  So (x+2) = (-3+2) = -1.
        Is this an odd integer? Yes!  Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
       Is this an odd integer? Yes!  Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
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So, our 3 (three) consecutive odd integers are: -3, -1, 1.
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To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
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3 0
3 years ago
a region's average movie theater ticket price in 2007 was $6.72. For 2017, it was estimated to be $8.81. Find the percent of inc
Alex73 [517]

Answer:

31.1011905%

Step-by-step explanation:

Take the new price and subtract the original price

8.81 - 6.72

2.09

Divide by the original price

2.09/6.72

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Change to percent form

31.1011905%

3 0
2 years ago
Matthew deposits $400 into an account that earns 7% interest compounded quarterly. What is the balance in his account after 10 y
user100 [1]

Answer:

$787

Step-by-step explanation:

In terms of interest

To find the multiplier using '7% more' continues as follows

100% + 7% = 107%

107/100 = 1.07 (multiplier)

Add the ten years as a power to the multiplier

1.07^10

And multiply this by $400

400 x 1.07^10 = 786.860542916

To the nearest dollar = $787

7 0
2 years ago
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