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3 years ago

Two functions are shown. f(x) = 3x+1 g(x) =-3/2X-7 What is the value of x when f(x) = g(x)

Mathematics

1 answer:

katrin [286]3 years ago

8 0

Answer:

-1.778

Step-by-step explanation:

The two lines cross at the point (-1.778,-4.333), but the x value is -1.778

Hope this helps

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A certain 5-digit combination lock can be reset with a new combination. The lock uses numbers from 1 to 6. After a friend accide

daser333 [38]

The probability is (1/6)^5 power. Since the locks are independent of each other, you can multiply the probabilities together. There are 6 possible numbers for each lock and there are 5 locks. So the probability is (1/6)^5 power.<span />

5 0

3 years ago

A team is excavating an archeological site. The original plan was to excavate a rectangular area 35 ft long

nikitadnepr [17]

Answer:

Part 1) The length of the new rectangle is $87.5\ ft$

Part 2) The area of the new rectangle is $4,375\ ft^{2}$

Step-by-step explanation:

we know that

If two rectangles are similar, then the ratio of its corresponding sides is proportional

step 1

Find the length of the new rectangle

Let

L-----> the length of the new rectangle

$\frac{50}{20}=\frac{L}{35}\\ \\ L=50*35/20\\ \\L=87.5\ ft$

step 2

Find the area of the new rectangle

we know that

The area of the rectangle is

$A=LW$

we have

$L=87.5\ ft$

$W=50\ ft$

substitute

$A=(87.5)(50)=4,375\ ft^{2}$

3 0

3 years ago

Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69

Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

$0.0000069 = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069 = 6.9 \time 10 ^{-7 +1} \\0.0000069 = 6.9\times 10^{-6}$