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3 years ago

If the point (3,5)is on the graph of a function f, then f(…….)=

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

Answer:

Step-by-step explanation:

A point (a,b) is on the graph of y = f(x) whenever we plugin x = a and y = b to the equation we have a true statement.

Since (3,5) is on the graph then f(3) = 5.

SImilarly since g (-6) =2 , then (-6, 2) is on the graph of g.

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A 4500 square foot roll of plastic wrap costs $23.95. If 120 square feet is need for a party game, what is the monetary value of

nadya68 [22]

For this case, the first thing to do is define a variable.

We have then:

x: the monetary value of that 120 square foot piece of plastic wrap

We write now the proportion that models the problem.

We have then:

$\frac {23.95} {4500} = \frac {x} {120}$

From here, we clear the value of x.

We have then:

$x = 120 (\frac {23.95} {4500})$

Calculating we have:

$x = 0,639\$$

Answer:

the monetary value of that 120 square foot piece of plastic wrap is:

$x = 0,639\$$

3 0

3 years ago

Read 2 more answers

Put the numbers 1.01, 10.01, 1.11, 1.011 in order from greatest to least?

Vlad1618 [11]

Answer:

1.011, 10.01, 1.11, 1.01

hope this helps

3 0

3 years ago

Read 2 more answers

Solve for t. d=3+at^2

GalinKa [24]

Answer:

it's the 2nd one

Step-by-step explanation:

d = 3 + at^2

-3 | -3

d - 3 = at^2

d - 3/a = t^2

√d - 3/a = √t^2

t = √d - 3/a

8 0

3 years ago

All digits in a dropdown number are different, and one of its digits is the average of all its digits. It has at least two digit

Svetradugi [14.3K]

1. Start the search among 2-digit numbers. A dropdown number (DDN) with 2 digits is a number $ab$ such that

$\dfrac{a+b}2 = a \implies a + b = 2a \implies b = a$

$\dfrac{a+b}2 = b \implies a+b = 2b \implies a=b$

but both of these solutions violate the requirement that the digits are distinct, so there are no 2-digit DDNs.

A 3-digit DDN $abc$ is such that

$\dfrac{a+b+c}3 = a \implies a+b+c = 3a \implies b+c = 2a$

or $a+c=2b$ if the average is $b$ , or $a+b=2c$ if the average is $c$ . The smallest possible value for $a$ is 1 since we require 3 digits. Then $b+c=2$ , and we can pick $b=0$ and $c=2$ to get the smallest DDN, 102.

2. In a 4-digit DDN $abcd$ , we have

$\dfrac{a+b+c+d}4 = a \implies a + b + c + d = 4a \implies b+c+d=3a$

or $a+c+d=3b$ or $a+b+d=3c$ or $a+b+c=3d$ .

We're free to fix $a=1$ and $b=0$ to try to get the smallest DDN. This leaves us with $c+d=3$ or $c+d=-1$ or $1+d=3c$ or $c=3d$ .

The first two cases are impossible - the only choices for $c,d$ such that $c+d=3$ are 1 and 2, and the sum of two positive integers must be positive. The smallest possible value of $c$ is 2; this leaves us with $1+d=6$ or $2=3d$ , but the latter case is impossible because 3 does not divide 2. So $d=5$ , and the smallest 4-digit DDN is 1025.

To find the largest DDN, start with the largest possible values for $a$ and $b$ . Let $a=9$ and $b=8$ . Then $c+d=19$ or $c+d=15$ or $17+d=3c$ or $17+c=3d$ . At most, we can have $c+d=13$ with 7 and 6, so the first two cases are impossible. If we maximize $c=7$ , then either $17+d=21\implies d=4$ or $24=3d\implies d=8$ (which we don't want). So the largest 3-digit DDN is 9874.