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mash [69]
3 years ago
14

F(x)=-2x+3 how do you find x if f(x) = 11

Mathematics
1 answer:
NeX [460]3 years ago
5 0
Since we know f(x)=11 all we need to do is substitute and solve. so
11=-2x+3 subtract 3 from both sides
8=-2x divide both sides by -2
-4=x
sub back in to check

-2(-4)+3=8+3=11 looks good
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A California licence plate consists of a sequence of seven symbols: number, letter, letter, letter, number, number, number, wher
tino4ka555 [31]

Answer:

There is a 44.73% probability that all symbols are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

There are 26 total letters and 10 total digits.

The plate has the following format:

number, letter, letter, letter, number, number, number

Total outcomes

Each number can have 10 values.

Each letter can have 26 values.

There are four numbers and 3 letters.

So there are

10^{4}*26^{3} = 175760000 possible plates

Desired outcomes

We cannot have repeated values.

So, for example, the first number can be any of the 10 digits. The second can be any of them, bar the first one. So 9 possible digits

The same logic for the letters, 26, then 25, then 24.

So there are

10*26*25*24*9*8*7 = 78624000 plates in which all symbols are different.

(a) What is the probability that all symbols are different

P = \frac{78624000}{175760000} = 0.4473

There is a 44.73% probability that all symbols are different.

7 0
3 years ago
Use the spinner to identify the probability of the pointer landing on a shaded area to the nearest hundredth. HELP?!!
Pie

A full circle = 360 degrees.

The sum of the shaded portions is : 60 + 55 + 45 = 160.

The probability would be the shaded portion divided by the full circle:

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4 0
3 years ago
Jeremy has a total of $250. If he spends 30% of his money, how much will he have left?
vagabundo [1.1K]
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3 years ago
450 is 75 percent of what number
hodyreva [135]
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6 0
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Using the approximation 3.14 for \pi what is the radius of a circle with circumference 44m
Feliz [49]

Answer:

7 m

Step-by-step explanation:

Circumference of a circle uses the formula;

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If the circumference = 44

then we use the formula above to calculate the value of the radius,

44 = 2 × pi × r...then divide both sides by (2 × pi(3.14))

Radius = 44 ÷ ( 3.14 × 2)

;Radius = 7.01

;Radius = 7m

8 0
3 years ago
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