Consider the graph.



Which function best represents the distance remaining, in miles, after
x
minutes?


f
(
x
)
=
10
7
x
+
35

f ( x ) = 10 7 x + 35

f
(
x
)
=
7
10
x
+
35

f ( x ) = 7 10 x + 35

f
(
x
)
=
−
7
10
x
+
35

f ( x ) = − − 7 10 x + 35

f
(
x
)
=
−
10
7
x
+
35

f ( x ) = − − 10 7 x + 35

Using inverse function concepts, it is found that:

The function given is:

[tex]f(x) = (x + 1)^2 - 3[/tex]

To find the inverse, we exchange x and y, and isolate y, then:

[tex]y = (x + 1)^2 - 3[/tex]

[tex]x = (y + 1)^2 - 3[/tex]

[tex](y + 1)^2 = x + 3[/tex]

[tex]\sqrt{(y + 1)^2} = \sqrt{x + 3}[/tex]

[tex]y + 1 = \sqrt{x + 3}[/tex]

[tex]y = \sqrt{x + 3} - 1[/tex]

The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].

A similar problem is given at https://brainly.com/question/13160937

Answer:

Step-by-step explanation:

Answer:

x = 3, 0

y = 0, -4

Step-by-step explanation:

The Matching of the inequality is

x ≤ 7.8 -> (-∞,7.8]

x < 7.8 -> (-∞,7.8).

x > 7.8 -> (7.8,∞)

x ≥ 7.8 -> [7.8,∞).

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

1. x ≤ 7.8

Here the value of is less than equal to 7.8 which means starting from -∞ to 7.8

Thus, the interval is (-∞,7.8]

2. x < 7.8

Here the value of is less than 7.8 which means starting from -∞ to less than 7.8.

Thus, the interval is (-∞,7.8).

3. x > 7.8

Here the value of is greater than 7.8 which means starting from 7.9 to ∞.

Thus, the interval is (7.8,∞)

4. x ≥ 7.8

Here the value of is greater than equal to 7.8 which means starting from 7.8 to ∞.

Thus, the interval is  [7.8,∞).

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Answer:

Step-by-step explanation:

It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other

The given xy- plane is a parallelogram.

A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.

If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]

Where, d is the distance between two points.

According to the given question

We have a plane figure PSTO

And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.

Now, the length of the sides by distance formula

PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]

PS = [tex]\sqrt{c^{2}+0 }[/tex]

PS = c

Similarly,

ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]

ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]

TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]

TO = [tex]\sqrt{c^{2} }[/tex]

TO = c

And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]

PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]

From the above calculation we found that

PS = TO

PO = ST

⇒ Length of the  opposite sides of the plane figure are equals.

And from the given figure we can see that the opposite sides are also parallel to each other.

Therefore, the given xy- plane is a parallelogram.

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Answer:

= 570

Step-by-step explanation:

Priority in order:

    (50 x 40 / 4 + 20) + (50 / 2 + 25)

=   (2000 / 4 + 20) + ( 25 + 25)

=   ( 500 + 20) + ( 50 )

=   ( 520 ) + 50

=   520 + 50

=   570

Answer: Look below

Step-by-step explanation:

10% = $120.90

1% = $12.09

11% = $132.99

$1,209 + $132.99 = $1,341.99

She made a $132.99 profit or $1,341.99

—————————————————————

8% = 96.72

$1,341.99 - $96.72 = $1245.27

————————————————

Or if it is $96.72 off the price she bought it then it would be

$1,209 - $96.72 = $1,112.28

Answer:

Step-by-step explanation:

9.43

29,060,000

When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.

Answer:29,060,000

Step-by-step explanation:

with every three zeros your number grows bigger 100,00= One hundred thousand. 29,000,000 = thwenty-nine million

Answer: he can make 3   1/4 pound burgers.

Step-by-step explanation: we know that he starts with 3 lbs of burger meat, and uses some of the meat to make 6 burgers that each weigh 3/8 lbs. If you take the 3/8 lbs and multiply by 6 burgers, you get 18/8, which is how much has been used so far. If you subtract 18/8 from the 3 lbs that Luis has originally started with, you get 6/8 lbs, which is how much he has after his first 6 burgers. Then you can take the 1/4 and see how many times it fits into 6/8 (1/4=2/8, 6/8 divided by 2/8 = 3 burgers that each weigh 1/4 lbs)

b and c are the answers i think....

Answer:

11

Step-by-step explanation:

Givens:

AD = 8

AC = 4y - 28

y = ?

First we can see that AD and DC are equal.

-note AD and AC are not equal

But 2 times the length of AD should give you AC so.....

2 x length of AD = 16 = AC

We can use the equation:

16 = 4y - 28

Solve for y

16 + 28 = 4y

44 = 4y

y = 11

Therefore value of y is 11.

Answer: the answer is 6.876

Step-by-step explanation:

7.15-0.274=6.876

7.500-0.274=6.876

I hope this helps.

BRAINEST PLEASE

Answer:

x=-23

Step-by-step explanation:

Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.

Therefore, x must be equal to -23.

Answer:

In total she works 21 hours and for the equation its gn=g+n

Step-by-step explanation:

got the equation i just put gn but that can be replaced with 21 since g and n both represent the number of hours fawzia works

Answer: 2. 5.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hi

Answer:

Answers below

Step-by-step explanation:

-32 -> -7.4

0 -> 1

20 -> 5

Answer:

The value of p is -9.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(p-3)/(9-6)

m=(p-3)/3

-4=(p-3)/3

-4*3=p-3

-12=p-3

p=-12+3

p=-9

the answer is: y = 3x + 1

P/s: i can't see the picture clearly but the answer is not A or C

ok done. Thank to me :>

Answer:

Try subtracting 9 from 7 to find the value.

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

From the diagram,

143 is the exterior angle of the triangle.

61 and B are interior angles of the triange.

Formula : -

Exterior angle of a triangle = Sum of two interior angles in a triangle

143 = 61 + ∠B

∠B = 143 - 61

∠B = 82

Therefore, the measure of ∠B is 82.

Answer:

that's the correct answers

Step-by-step explanation:

thanks for your

To translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.

This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.

Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

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Answer: 48[tex]x^{3}[/tex]-240[tex]x^{2}[/tex]+300x

hopes this helps

Step-by-step explanation:

I think that's clear enough

The value of ab^2 in simplified form is -1

Given the following expressions:

We are to evaluate the expression [tex]ab^2[/tex]

Substitute the given parameters into the formula to have:

[tex]ab^2 =4x(5i)^2\\ab^2 = 4x(25i^2)\\ab^2=4x(50(-1))\\ab^2=-100x[/tex]

Hence the value of ab^2 in simplified form is -100x

Learn more on exponential functions here: https://brainly.com/question/12940982

Answer:

5861698830

Step-by-step explanation:

Answer:

it's Ahmed shoveled more