y = mx + b (b) Your answer: b = y - mx b = x- ym b = y + mx b = mx-y

Answer:

Given,

The number of meters covered by Joshua in 1 minute = 25 meters,

So, the number of meters covered by him/her in x minutes, ( say y ) = 25x minutes,

⇒ y = 25x,

Which is the equation of line passes through origin,

If x = 1, y = 25,

If x = 2, y = 50,

So, by joining the points (1, 25) and (2,50) we will get the graph,

∵ Slope of a line y = mx + c is m,

By comparing,

The slope of the above line is 25 that shows the rate of change in meters per minute.

Note : x ≥ 0, because number of minutes can not be negative.

The ending balance would be  (-8.23).

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Lori had $126.89 in her bank account.

She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.

After deposit her balance would be

=126.89 + 21.49

=148.38

and, the balance after paying for the repair

=148.38 - 156.61

=$ (-8.23)

Hence, the ending balance would be  (-8.23).

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The coordinates (4, 0) and (3, -1) represents the solution of the function f(x).

We have a function -

y = f(x) = x - 4

We have to identify the possible solutions of this function from the ones mentioned.

The solution of the function is the possible values of x (say a) for which f(a) equals to y.

According to the question -

y = f(x) = x - 4

Case 1 : P(4, 0)

0 = 4 - 4 = 0

P(4, 0) represents a solution

Case 2 : P(3, -1)

-1 = 3 - 4 = -1

P(3, -1) represents a solution

Case 3 : P(6, 3)

3 = 6 - 4 ≠ 2

P(6, 3) does not represents a solution

Case 4 : P(2, -4)

-4 = 2 - 4 ≠ -2

P(2, -4) does not represents a solution

Hence, the coordinates (4, 0) and (3, -1) represents the solution of the function f(x).

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6 students are there in a class.

Word problems normally include mathematical modeling questions, in which records and statistics approximately a certain system is given and a pupil is needed to broaden a model. as instance: Jane had $5.00, then spent $2.00. How lots does she have now?

In computational mathematics, word trouble is the hassle of finding out whether given expressions are equivalent with admire to a hard and fast of rewriting identities. A prototypical instance is the word problem for corporations, but there are many other instances as nicely.

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Answer: [tex]629.031 \text{ square centimeters}[/tex]

Step-by-step explanation:

Given : The cover of a photo album has an area of 97.5 square inches.

It is given that 1 cm =  0.3937 inches

By unitary method , 1 inch=[tex]\dfrac{1}{0.3937}=2.54000508001\approx2.54 \text{ cm}[/tex]

Then,  97.5 square inches =[tex]97.5\times2.54\times2.54[/tex]

[tex]\\\\=629.031\approx629.031 \text{ square centimeters}[/tex]

Hence, The required answer is[tex]629.031 \text{ square centimeters}[/tex].

Shelley's score = 90x

Terrence's score = 90x-20

Difference between them is (90x - 20 - 90x) = -20

The constant term represents the difference between Shelly's and Terrence's scores.

Answer:

0.05

Step-by-step explanation:

Given function:

1.00=100%=100

this means..

5 of 100=0.05.

What type of equation will best fit the data below?

The given data represents a parabolic curve, that means it is a quadratic equation.

Explanation:

A parabola is defined as a curve with all the points at an equal distance from the focus and the straight line. While calculating the whole parabola, make sure that the equation for the given parabola must be in the standard quadratic form f(x) = ax² + bx + c, where "a" is not equal to zero.

Answer:

142≤ x.

Step-by-step explanation:

Given : rectangle a perimeter of at least 300 ft and Length: 3ft  and width formula: x+5ft.

To find : Writing an inequality for x that would give this rectangle a perimeter.

Solution : We have given length = 3 ft.

Width = x + 5 ft .

Perimeter =  300 feet .

Perimeter = 2 ( length + width ) .

Plugging the values and greater than equal to sign for at least.

300 ≤ 2( 3 + x +5).

300≤ 2( 8 +x) .

300≤ 16 + 2x

On subtracting both sides by 16.

300 -16 ≤ 2x .

284 ≤ 2x.

On dividing both sides by 2.

142≤ x.

We can say x is at least 142.

Therefore, 142≤ x.

Answer:

Givens:

Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be

[tex]B=12+S\\B+S=420[/tex]

Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:

[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]

Then, we replace this value into the first equation

[tex]B=12+S\\B=12+204=216[/tex]

This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.

[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \  24 sec[/tex]

[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36  sec[/tex]