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Romashka-Z-Leto [24]
2 years ago
7

How to simplify 6 +8b^2 +3b -6 - 10b^2

Mathematics
1 answer:
kozerog [31]2 years ago
5 0

Answer:

-2b^2+3b

Step-by-step explanation:

You just have to add like terms, which is the single numbers, the numbers with just the variables, and the numbers with variables that are squared.

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Graph g(x), where f(x)=2x-5 and g(x)=f(x+1)
tigry1 [53]

Answer:

Graph g(x) = 2x - 3

Step-by-step explanation:

Plug in (x+1) to f(x) = 2x - 5:

g(x) = 2(x+1) - 5 = 2x + 2 - 5

g(x) = 2x - 3

4 0
3 years ago
Read 2 more answers
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique
KIM [24]

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

w = 68 feet

7 0
2 years ago
Julio bought a total of 20 medium and large pumpkins. If he spent $53 and bought 6 more large pumpkins as medium pumpkins, how m
Tatiana [17]
20 medium and large pumpkins

m ... number of medium pumpkins
l ... number of large pumpkins

20 = m + l
20 = m + (m + 6)
20 = 2 * m + 6
2 * m = 20 - 6
2 * m = 14
m = 7 medium pumpkins

l = 20 - 7 = 13 large pumpkins

Result: Julio bought 13 large pumpkins.
5 0
3 years ago
A 72,000 gallon water tower is being drained. Two thousand gallons are drained in the first hour. How many hours will it take to
ololo11 [35]

Answer:

To drain the water tower it will take 36 hours.

Step-by-step explanation:

Given:

A 72,000 water tower is being drained, and in an hour 2000 gallons are drained.

Now, to calculate the hours it would take to drain total 72,000 gallons of water, we should divide the gallons of water drained in one hour by total gallons of water in the tower.

Gallons of total water in the tower ÷ Gallons of water drained per hour

72000\div 2000

=\ 36

Therefore, to drain the water tower it will take 36 hours.

6 0
3 years ago
The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point
Softa [21]
y=\dfrac{e^{2x}}{4+3e^x}
\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}
\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}

Stationary points occur where the derivative is zero. The denominator is positive for all x, so we only need to worry about the numerator.

8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0

e^{2x}>0 for all x, so we can divide through:

8+3e^x=0\implies e^x=-\dfrac83

But e^x>0 for all x\in\mathbb R, so this function has no stationary points...

I suspect there may be a typo in the question.
6 0
3 years ago
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