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3 years ago

PLease help . . . . . . . .

Mathematics

1 answer:

blagie [28]3 years ago

8 0

Traveling $m$ miles on this taxi costs

$c=2.5+3.25m$

In fact, we spend 2.50 no matter what, and then we add 3.25 (i.e. the cost of a mile) multiplied by the number of miles.

This quantity has to be less than or equal to 61, so we have

$2.5+3.25m\leq 61$

Solving for $m$ , we start by subtracting 2.5 from both sides:

$3.25m\leq 58.5$

Then, we divide both sides by 3.25:

$m\leq 18$

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Use f(x) = 1)2 and f^-1(x) = 2x to solve the problems. a) f(2) b)f^-1(1) c)f^-1(f(2))

Luden [163]

a) f (2) = 1

b) $f^{-1}(1)=2$

c) $f^{-1}(f(2))=2$

Step-by-step explanation:

$f^{-1}$ - Indicates that we have to find the inverse of the function

Given data:

$f(x)=\left(\frac{1}{2}\right) x$ --------> eq.1

$f^{-1}(x)=2 x$ ---------> eq.2

To find $f(2), f^{-1}(1), f^{-1}(f(2))$

Case a)

Now, substitute x = 2 in the equation 1 to find f (2)

$f(2)=\left(\frac{1}{2}\right) \times 2=1$

Case b)

Now, substitute x = 1 in the equation 2 to find $f^{-1}(1)$

$f^{-1}(1)=2(1)=2$

Case c)

In general,

$f^{-1}(f(x))=f\left(f^{-1}(x)\right)=x$

Thereby,

$f^{-1}(f(2))=2 \text { where } x=2$

5 0

3 years ago

HELP!!!

Murrr4er [49]

We can define variable as any factor, trait, or condition that can exist to vary or change.

Perimeter of rectangle = 2(l+w)
let l is the length of the garden
and w is the width of the garden = 6 less than the length = l - 6
perimeter = 188 feet
p = 2(l+w)
188 = 2 (l + (l-6))
188 = 2(l + l - 6)
188 = 2(2l-6)
188 = 4l - 12
4l = 188+12
4l = 200
l=50
w = l - 6 = 50 - 6 = 44
Thus, the dimensions, length is 50 feet and width is 44 feet.

3 0

3 years ago

Read 2 more answers

Use rhombus TQRS below for questions 1–4.

UkoKoshka [18]

Answer:

Part 1) Option D $53\°$

Part 2) Option C $37\°$

Step-by-step explanation:

we know that

In a Rhombus

Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles

Part 1) What is the measure of angle $1$ ?

$m$ -----> remember that the diagonals bisect the angles

Part 2) What is the measure of angle $2$ ?

Remember that

In a rhombus consecutive angles are supplementary

$m$

The measure of angle $2$ is equal to the measure of angle T divided by $2$

$m$

6 0

3 years ago

Read 2 more answers

Find the decimal that is equivalent to 7/12

Nikolay [14]

Answer: 0.58333333333333

Step-by-step explanation: To find the decimal that is equivalent to 7/12, remember that fractions are division problems so we can divide the numerator by the denominator.

Numerator = 7

Denominator = 12

7 ÷ 12 = 0.58333333333333.

5 0

4 years ago

Read 2 more answers

Your math teacher announces a 50 point quiz tomorrow. There will be a total of 15 questions. Some of the questions will be worth

Alja [10]

Answer:

3x + 4y = 50

x + y = 15

Five 4-point questions

Step-by-step explanation:

Change x + y = 15 to determine what y equal

y = (-x) + 15

Plug it in the original equation using the substitution method

3x + 4(-x + 15) = 50

3x - 4x + 60 = 50

Combine like terms:

-x = -10, two negative signs equals a positive. x = 10

Plug 10 in for x in the equation x + y = 15

10 + y = 15

Subtract 10 from both sides

y = 5

5 0

3 years ago