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3 years ago

For f(x) = 2x-1 and g(x)= x+3, find f(g(x))

Mathematics

1 answer:

Over [174]3 years ago

7 0

Answer:

Step-by-step explanation:

Plug in g(x) into the variable x of f(x), we get:

$(fog) = 2(x+3)-1 = 2x+6-1=2x+5$

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The line on the graph passes through the points A(0,6) and B(3,0). calculate the gradient of line AB.

iVinArrow [24]

Answer:

The gradient is -2.

Step-by-step explanation:

The gradient = rise/ run

= (0-6)/(3-0)

= -6/3

= -2.

7 0

3 years ago

Carl and Bob can demolish a building in 6 days, Anne and Bob can do it in 3, Anne and Carl in 5. How many days does it take all

nata0808 [166]

Answer:

59/20 days or 2.95 days

Step-by-step explanation:

Let Carl do the job in c days, Anne- in a, and Bob in b days

Then the portion of job they can do is 1/c, 1/a and 1/b

As per given we have below equations:

1/c + 1/b= 1/6
1/a + 1/b = 1/3
1/a + 1/c = 1/5

Sum of all 3 equations gives us:

2(1/a + 1/b + 1/c) = 1/6 + 1/3 + 1/5
2(1/a + 1/b + 1/c) = 5/30 + 10/30 + 6/30
2(1/a + 1/b + 1/c) = 21/30
2(1/a + 1/b + 1/c) = 7/10
1/a + 1/b + 1/c = 7/20

It means all three together can complete 7/20 of the job in one day

The rest of the job is done by Anne and Bob:

1 - 7/20 = 13/20

As Anne and Bob can do 1/3 of the job in one day, they need time to complete the rest:

13/20:1/3 = 39/20

Add 1 day to this to find overall time:

1 + 39 /20 = 59/20 days or 2.95 days

4 0

3 years ago

Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods, what

marta [7]

Answer:

The total salary of her is $1066666.66.

Step-by-step explanation:

Given : Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods.

To find : What was her total salary?

Solution :

Let x be the total salary.

Allison earns a $40,000 base salary.

If she sold $200,000 worth of goods.

i.e. the amount is $200,000-$40,000=$160,000

The total salary is given by,

$160,000=15% of x

$0.15\times x=160000$

$x=\frac{160000}{0.15}$

$x=1066666.66$

The total salary of her is $1066666.66.

3 0

3 years ago

For a given input value b, the function g outputs a value a to satisfy the following equation.

Ostrovityanka [42]

$g(b)=3b+13$

Hope this helps.

r3t40

3 0

3 years ago

Which is a number that can be written as a fraction in the form ?

Scilla [17]

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.

Hope this helps!

3 0

3 years ago