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never [62]
3 years ago
7

Point I is on line segment HJ. Given I J equals 3X +3, HI equals 3X-1, and HJ equals 3X +8, determine the numerical length of HJ

.

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
4 0

Answer:

Step-by-step explanation:

3x + 3 + 3x - 1 = 3x + 8

6x + 2 = 3x + 8

3x + 2 = 8

3x = 6

x = 2

HJ= 3(2) + 8 =6 + 8 = 14

HI= 3(2) - 1 = 6 - 1 = 5

IJ = 3(2) + 3 = 6 + 3 = 9

Salsk061 [2.6K]3 years ago
4 0

Answer:14

Step-by-step explanation:

3x + 3 + 3x - 1 = 3x + 8

6x + 2 = 3x + 8

3x + 2 = 8

3x = 6

x = 2

HJ= 3(2) + 8 =6 + 8 = 14

HI= 3(2) - 1 = 6 - 1 = 5

IJ = 3(2) + 3 = 6 + 3 = 9

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4. The revenue of a company for a given month is represented as ????(x) = 1,500x − x^2 and its costs as ????(x) = 1,500 + 1,000x
mrs_skeptik [129]

Answer:

The profit will be maximum on x = 250.

Step-by-step explanation:

From the given information:

Revenue = 1500x - x²

Cost = 1500 + 1000x

As we know that

Profit = Revenue - Cost ; Let say it equation 1

Then after putting the values of revenue and cost in equation 1 we have:

Profit = (1500x - x²) - (1500 + 1000x)

Profit = 1500x - x² - 1500 - 1000x

Profit = -x² + 500x - 1500

We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:

d(Profit)/dx = d/dx(-x² + 500x - 1500)

d(Profit)/dx = -2x + 500

By putting the above slope equal to zero we get:

d(Profit)/dx = -2x + 500 = 0

-2x + 500 = 0

-2x = -500

x = 250

Therefore it is concluded that the profit will be maximum when x will be equal to 250.

4 0
3 years ago
2 5/16 divided into 7/8 equals what
Whitepunk [10]

Answer:

4 1/14

Step-by-step explanation:

2 5/16=57/16

57/16*8/7=57/16 divided by 7/8

57/16*8/7=57/2*7=57/14=4 1/14

8 0
3 years ago
What is the slope of the line?
Hunter-Best [27]

Answer:

<h3>☘ QUESTION☘</h3>

What is the slope of the line?

-3x+5y=2x+3y

<h3>☘ ANSWER☘</h3>

-3x+5y=2x+3y → 2y = 5x → y = (5/2)x.

There are infinitely many ordered pairs that satisfy -3x+5y=2x+3y.

<h3>Answer: C.5/2</h3>

Step-by-step explanation:

✨ BRAINLY FAST ✨

✨BY#NICHOLE✨

7 0
2 years ago
Find the hcf of 52 and 117 and express it in the form of 52x + 117y..<br>please helppp​
harina [27]

Step by step explanation:

Hope this helps

3 0
3 years ago
Si el velocimetro de un auto marca un 25% mas que la verdadera velocidad y en este momento marca 100km/h entonces la velocidad v
GenaCL600 [577]

Answer:

True speed of the car is 87 km/h.

Step-by-step explanation:

Speed = 100 km/h

hike in speed = 25 %

Let the true speed is v.

v + 15% of v = 100 \\\\v + 0.15 v = 100 \\\\1.5 v = 100\\\\ v = 87  km/h

6 0
3 years ago
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