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SashulF [63]
3 years ago
5

3(x - 1) - 8 = 4(1+x) + 5​

Mathematics
2 answers:
valina [46]3 years ago
7 0

Answer:

x= 20

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

3x-1(3)-8= 1(4)+4x+5

Step 2- Multiply

3x-3-8= 4+4x+5

Step 3- Add.

3x-3-8= 4x+9

Step 4- Subtract 3x to both sides to move the variable to one side.

3x-11= 4x+9

-3x     -3x

Step 5- Subtract 9 to both sides.

-11= 1x+9

-9       -9

-20= x

Exchange the signs.

20= x

Maurinko [17]3 years ago
3 0

Answer:

x = -20

Step-by-step explanation:

3(x - 1) - 8 = 4(1+x) + 5​

3x - 3 -8 = 4 + 4x + 5

3x - 11 = 9 + 4x

-x = 20

x = -20

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goldenfox [79]

I hope it's clear enough.

7 0
3 years ago
A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase
hram777 [196]
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.

Let x be the number of $2 increases in price, then the revenue from renting cars is given by
(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2.

Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
5(150-4x)=750-20x

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>\frac{d}{dx} (6,450+128x-8x^2)=0 \\  \\ 128-16x=0 \\  \\ x= \frac{128}{16} =8

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.

Therefore, the </span><span>rental charge will maximize profit is $64.</span>
3 0
3 years ago
Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t
stira [4]

Answer:

Option A -  The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function d(t)=81t

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

d(t)=81t

d(t)=81(1)=81

Distance traveled by Train B in 1 hour is

d(t)=81t

d(t)=81(1)=81

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.


8 0
2 years ago
X + y + 5) and (2x – 2y – 3)
Aleonysh [2.5K]

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

4 0
3 years ago
Find the missing length to the nearest tenth of a meter of the
marin [14]

Answer:

length of the third side may be either 3.4 m or 2.8 m.

Step-by-step explanation:

Measure of two sides of a right triangle are 1.4 m and the other side is 3.1 m.

then we have to find the measure of third side.

If the third side of the triangle is its hypotenuse then

(Third side)² = (1.4)² + (3.1)²

Third side = \sqrt{(1.4)^{2}+(3.1)^{2}}

                 = \sqrt{1.96+9.61}

                 = \sqrt{11.57}

                 = 3.4 m

If the third side is one of the perpendicular sides of the triangle and 3.1 m is hypotenuse, then

(Third side)² + (1.4)² = (3.1)²

(Third side)²= (3.1)² - (1.4)²

Third side = \sqrt{(3.1)^{2}-(1.4)^{2}}

                 = \sqrt{9.61-1.96}

                 = \sqrt{7.65}

                 = 2.76 m

                 ≈ 2.8 m

Therefore, length of the third side may be either 3.4 m or 2.8 m.

7 0
3 years ago
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