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3 years ago

What is the result of (x^2 – 10x) – (–5x^2 + x)?

Mathematics

1 answer:

Tanzania [10]3 years ago

6 0

Answer:

$( {x}^{2} - 10x) - ( - 5 {x}^{2} + x) \\ {x}^{2} - 10x + 5 {x}^{2} - x \\ \boxed{6 {x}^{2} - 11x}$

<h3>(6x²-11x) is the right answer.</h3>

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The transverse axis for this hyperbola is

garik1379 [7]

Answer:

1. horizontal

2. (2,-6)

3. (4.2,-6) and (-0.2,-6)

Step-by-step explanation:

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3 years ago

A fast-food restaurant has a cost production of C(x) = 7x + 117 and a revenue

vaieri [72.5K]

Answer:

Step-by-step explanation:

Profit is revenue minus cost.

P(x) = R(x) − C(x)

P(x) = 28x − (7x + 117)

P(x) = 21x − 117

When the profit is 0, the value of x is:

0 = 21x − 117

21x = 117

x = 5.6

Rounding up to the nearest integer, the company starts to turn a profit at 6 milkshakes.

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3 years ago

Radium-228 has a half-life of 5.75 years. What is the decay rate for radium-228?

artcher [175]

Decay rate for Radium-228 is 0.01205

Step-by-step explanation:

The half life of radium-228 is 5.75 years. We need to find the decay rate for radium.

The formula used is:

$ln\frac{N_o}{N_t}=-\lambda t$

Where N₀ = amount of radioactive particles at time = 0

N_t = amount of radioactive particles are time (t)

λ = rate of decay constant

t = time

We are given half life so, $\frac{N_o}{N_t}$ =0.5

t= 5.75 years

We need to find λ

Putting values in formula and solving:

$ln\frac{N_o}{N_t}=-\lambda t$

$ln(0.5)=-\lambda *5.75\\-\lambda=\frac{ln(0.5)}{5.75}\\-\lambda=\frac{-0.69}{5.75}\\-\lambda=-0.1205\\\lambda=0.1205$

So, Decay rate for Radium-228 is 0.01205.

Keywords: Decay Rate

Learn more about Decay Rate at:

#learnwithBrainly

3 0

3 years ago

A toy company had an order of five boxes to ship unfortunately this was 17 pounds over the shipping weight limit per order of ea

pochemuha

Answer:

28 pounds

Step-by-step explanation:

We have a total of 5 boxes, now we know that each box weighs 9 pounds, therefore:

Total weight = 5 * 9 = 45 pounds

Which means there are 45 pounds in total.

We are told that the limit is exceeded by 17 pounds. To find the limit weight, it is necessary to subtract the total weight and the excess:

45-17 = 28 pounds

Therefore, the maximum weight allowed per shipment is 28 pounds.

6 0

3 years ago

What is the area of the rectangle, in square feet?<br>9 ft<br>20 ft

goblinko [34]

Answer:

180 Square Feet

Step-by-step explanation:

For Rectangle:

l = 9 ft

b = 20 ft

Area of Rectangle

$= l \times b \\ = 9 \times 20 \\ = 180 \:square \: feet$

3 0

3 years ago