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coldgirl [10]
3 years ago
10

find the constant m and b in the linear function f(x)=mx+b so that f(6)=9 and the straight line represents by f has slope -4

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

The constant m=-4, and b=33

Step-by-step explanation:

F(x)= MX+b

If f(6)=9 then x=6, m= -4

9= -4(6) + b

9= -24 + b

b= 9 + 24

b= 33

Therefore the constant m, which is the slope is -4 and b which is the intercept is 33

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A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of
Sholpan [36]

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

5 0
3 years ago
Describe what the notation Upper P (Upper B vertical line Upper A )represents.
sergey [27]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Upper P (Upper B vertical line Upper A)

means

P(B|A)

It means that probability of getting event B given that Event A is occurred.

D. The probability of event B​ occurring, given that event A has already occurred. is also expressed as P(B|A)

Hence, Option 'D' is correct.

4 0
3 years ago
Which expression is the simplest form of -(4x + y)n + 2(x - 3y)
Marina86 [1]

Answer:

\boxed{\bold{-4nx-ny+2x-6y}}

Explanation:

Rewrite:

= \bold{-n\left(4x+y\right)+2\left(x-3y\right)}

Expand \bold{-n\left(4x+y\right): \ -4nx-ny}

= \bold{-4nx-ny+2\left(x-3y\right)}

Expand \bold{2\left(x-3y\right): \ 2x-6y}

= \bold{-4nx-ny+2x-6y}

Mordancy.

4 0
3 years ago
Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis
katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

\frac{1}{\lambda}  = 13

\lambda = \frac{1}{13}

As we know,

The cumulative distributive function will be:

⇒ 1-e^{-\lambda x}

hence,

In the first 5 years, the probability of failure will be:

⇒ P(X

                    =1-e^{-(\frac{1}{13} )\times 5}

                    =1-e^(-\frac{5}{13})

                    =1-0.6807

                    =0.3193

3 0
3 years ago
At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of D
Zina [86]

Answer:

C

Step-by-step explanation:

12568*.45 = 5655.6

c is best answer here

3 0
3 years ago
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