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Kisachek [45]
2 years ago
6

Write the equation of a line with a slope of -7/2 passing through the point 2,-4

Mathematics
1 answer:
fiasKO [112]2 years ago
5 0

Answer:

y = -7/2x+3

Step-by-step explanation:

The slope intercept form of a line is

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

y = -7/2 x+b

Substitute the point into the equation

-4 = -7/2(2) +b

-4 = -7+b

Solving for b

-4+7 = -7+b+7

3 = b

The equation is y = -7/2x+3

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which graph represents the solution set of the system of inequalities? (is my selected answer correct, if not please help!!)
algol [13]

Answer:

the graph on the right-top

Step-by-step explanation:

Transferring an "x" to the right side in x+y\ge-3, we get y\ge -x-3

The system of inequalities is

\left \{ {{y

We have y=2x+2 - ascending function with a=2, b=2

b=2 shows that ascending function intersects Y-axis is in y=2 - that situation is only on the right-top and left-down. So, we refuse left-top and right-down.

y=-x-3 - descending function with a=-1, b=-3

y<2x+2 is an area below the ascending function and we see that on the left-

y\ge-x-3 is an area above the descending function

On the left-down we have an area above both functions, so we refuse this picture

Right-top is correct


7 0
3 years ago
12
Sergeu [11.5K]

Answer:

5 pints per hour.

Step-by-step explanation:

Morning:

Given:

Number of strawberries packed in every 4 minutes = 3

∴ Number of strawberries packed in every one minute = \frac{3}{4}

So, number of strawberries packed in every 60 minutes = \frac{3}{4}\times 60=45

1 hour = 60 minutes.

So, strawberries are packed at a rate of 45 pints per hour in the morning.

Afternoon:

Number of strawberries packed in every 3 minutes = 2

∴ Number of strawberries packed in every one minute = \frac{2}{3}

So, number of strawberries packed in every 60 minutes = \frac{2}{3}\times 60=40

1 hour = 60 minutes.

So, strawberries are packed at a rate of 40 pints per hour in the afternoon.

Difference between the packing rates is given as:

Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.

So, she packed 5 more pints in one hour in the morning than in the afternoon.

3 0
3 years ago
Is 4/5 a solution of x&lt;2?
krok68 [10]
Yea it is.4\5 is greater than 2
5 0
3 years ago
Read 2 more answers
Write an algebraic expression for the phrase five less than the product of six and N
GenaCL600 [577]

Answer:

6N - 5

Step-by-step explanation:

five less than the product of six and N: <em>6N</em>

five less than the product of six and N: <em>6N </em><em>- 5</em>

Answer: 6N - 5

6 0
3 years ago
Write an equation in point-slope form and in slope-intercept form for the line that passes through the given point
nexus9112 [7]

Answer:

point-slope:x-y+3

slope-intercept: y=x-3

4 0
3 years ago
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