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zysi [14]
3 years ago
11

A function is a mathematical rule that.....

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer:

B

Step-by-step explanation:

A function can be graphed as a straight line, as long as it isn't vertical.

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Find the 52nd term of the given arithmetic sequence-30, -38, -46, -54...
torisob [31]

The sequence is given to be:

-30,-38,-46,-54...

The nth term of an arithmetic sequence is calculated using the formula:

a_n=a_1+(n-1)d

where a₁ is the first term, n is the number of terms, and d is the common difference.

From the given sequence, the following parameters can be gotten:

\begin{gathered} a_1=-30 \\ d=-38-(-30)=-8 \end{gathered}

Therefore, the parameters can be substituted into the formula to find the 52nd term:

\begin{gathered} n=52 \\ \therefore \\ a_{52}=-30+(52-1)(-8) \\ a_{52}=-30+51(-8)=-30-408 \\ a_{52}=-438 \end{gathered}

The 52nd term is -438.

8 0
1 year ago
A plastic sun visor allows light to pass through but reduces the intensity of the light. the intensity is reduced by 5% if the p
irinina [24]

Answer: The equation is f(x) = 0.95^{x};

The piece of plastic has to have 10mm of thickness.

Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

0.95.0.95 = 0.9025 of light reach the visor

So, the model that relate thickness of plastic and intensity of light is:

f(x) = 0.95^{x}

in which:

f(x) is the intensity of light;

x is thickness in mm;

Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = 0.95^{x}

0.6 = 0.95^{x}

log 0.6 = log 0.95^{x}

x. log (0.95) = log (0.6)

x = \frac{log 0.6}{log 0.95}

x = 9.95

x ≈ 10

The thickness necessary to reduce intensity of light to 60% is 10mm.

6 0
3 years ago
Read 2 more answers
On a multiplication facts test, Samantha had to know the facts from 1-12. She earned 3 points for every fact she solved correctl
kobusy [5.1K]

Answer:

y=3x+10

Step-by-step explanation:

I dont think it is the right form but that Is an equation for it

6 0
3 years ago
Read 2 more answers
Jordan and Ellen recycle cans. Jordan recycles 7 cans for every 12 cans Ellen recycles. Last week, Jordan
Natasha2012 [34]

Answer:

c=6 They sold a total of 114 cans

Step-by-step explanation: The ratio is 7:12, so last week, he sold 42 cans, meaning that you need to divide 42 by to get 6 in order to figure out the amount Ellen sold last week. Then do 6 times 12 to get 72 cans sold for Ellen. Add 72 to 42 to get 114 cans sold in total.

5 0
3 years ago
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Which type of factoring is used to factor the following expression:<br> 2x^2 + 7x- 30
svetlana [45]

Answer:

 (2x - 5) • (x + 6)

7 0
3 years ago
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