a runner speeds up from 5 m/s to 9 m/s during the last strech of a race at a rate of 1 m/s². how long does it take the runner to reach the faster pace?​

Answer:

Assuming you meant x² + 12x + 11, then it would be expressed as:

(x + 6)² - 25

Step-by-step explanation:

The way you wrote the expression, the second term is not multiplied by x, and you wouldn't get the answer expected.  It would just be x² + 33.  Presumably that was in error and the 12 is in fact just a coefficient of x, so let's work from there.

x² + 12x + 11

= x² + 12x + 36 - 25

= (x + 6)² - 25

Answer:

Step-by-step explanation:

1) y  = 2x  ----------(I)

x + y = 6 -----------(II)

Plug in y =2x in equation (II)

x + 2x = 6        {Add like terms}

  3x    = 6

       x = 6/3

      x = 2

Plugin x = 2 in (I)

 y = 2*2

y = 4

Check:

     LHS = x +y

             = 2 + 4

            = 6  = RHS

2)5x + 10y = 3 ------------(I)

x = (-1/2) y     ------------(II)

Substitute x = (-1/2)y in (I)

[tex]5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\ y = 3*\frac{2}{15}\\\\ y = \frac{2}{5}[/tex]

Substitute y = (2/5) in equation (II)

[tex]x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}[/tex]

Check:

Substitute x and y value in equation (I)

[tex]LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\ = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS[/tex]

3) y - x = 3x + 2

        y = 3x + 2 + x

         y = 4x + 2 ---------------(I)

2x + 2y = 14 - y

2x + 2y +y = 14

2x + 3y = 14     ------------------(II)

Substitute y = 4x + 2 in equation (II)

2x + 3(4x +2) = 14

2x + 3*4x + 3*2 = 14

2x + 12x + 6 = 14

        14x + 6 = 14

              14x = 14 - 6

              14x = 8

                 x = 8/14

            x = 4/7

Substitute 'x' value in (I)

[tex]y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}[/tex]

Check:

[tex]LHS = 2x + 3y\\\\ = 2*\frac{4}{7}+3*\frac{30}{7}\\\\ = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS[/tex]

Answer:

222 fence posts

Step-by-step explanation:

Since the log is 20 m long, correct to the nearest metre and has to be cut into fence posts which must be 90 cm long, correct  to the nearest 10 centimetres, there can be x fence posts 90 cm long.

So, we have x × 90 cm = 20 m

x × 0.9 m = 20 m

x = 20 m/0.9 m

x = 222.22

x ≅ 222 fence posts

So, the largest number of fence posts that can possibly be cut from the log is 222 fence posts.

Answer:

[tex] y = \frac{3}{10} x[/tex]

Step-by-step explanation:

[tex]y - 3 = \frac{3}{10} (x - 10) \\ \\ y - 3 = \frac{3}{10} x - \frac{3}{10} \times 10 \\ \\y - 3 = \frac{3}{10} x - 3 \\ \\y = \frac{3}{10} x - 3 + 3 \\ \\ y = \frac{3}{10} x + 0 \\ \\ \purple{ \bold{ y = \frac{3}{10} x}} \\ is \: the \: required \: equation[/tex]

Answer:

84 %

Step-by-step explanation: I also got this question

Step-by-step explanation:

378/450×100

0.84×100

=84%............

Answer:

(x + 2)(x + 4)

Step-by-step explanation:

You find two numbers that you can add to get 6 and that you can multiply to get 8, which would be 2 and 4, so it's (x + 2)(x + 4)

Answer:

2.25

Step-by-step explanation:

-9/-4= 2.25

I did the work and it's what the person above me said.

Answer:

216

Step-by-step explanation:

Answer:

40/500 = 8%

Step-by-step explanation:

40/500 = 8%

So the answer is 8%/year.  The question is if the $40 is reinvested, then will the following year's return be 8% of $540 is $43.20?  If it were, this would be an example of compound returns is getting interest (or a return) on the previously earned interest. That's an 8% per annum simple yield.   You'd be better off finding something that compounded your investment.

The annual rate to return will be 8%.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Simple interest = $40

Principal amount = $500

Time = 1 year

Now,

Since, We know that;

⇒ Simple interest = P R T/100

Substitute all the values, we get;

⇒ $40 = $500 x R x 1 / 100

⇒ $40 × 100 = $500R

⇒ $400/$500 = R

⇒ R = 8%

Thus, The annual rate to return will be 8%.

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Answer: There are 154 different meals that you can get with this offer.

Step-by-step explanation:

The total number of combinations will be equal to the product of the numbers of options for each selection.

Here we know that:

"Buy a sandwich and get either a snack or a drink for free."

Then we have two selections:

Sandwich, where we have 11 different types.

Snack or a drink (we can choose only one) there are 9 options for snacks, and 5 options for drinks, then there is a total of 9 + 5 = 14 options.

The total number of different combinations is:

Combinations = 11*14 = 154

There are 154 different meals that you can get on the offer.

Answer:

What do you need help with? :P

Step-by-step explanation:

Hav a gud day :3

Answer:

bet, I pressed the picture (lol)

Step-by-step explanation:

it's B

Answer: 35 times 50% is 17.5 so she got a 40% discount because 35 times 40% equals 14

Step-by-step explanation:

You have to do first 35•50% and get your answer and if it’s not the right number then go up or down and I went down 10 and got 14 when I did 35•40%

Answer:

callate

Step-by-step explanation:

Answer:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the lines

y = 3/2x + 2

Finding the slope of y = 3/2x + 2

comparing with the slope-intercept form of the line equation

The slope m₁ = 3/2

y = 2/3x + 6

Finding the slope of y = 2/3x + 6

comparing with the slope-intercept form of the line equation

The slope m₂ = 2/3

So,

m₁ = 3/2

m₂ = 2/3

We know that when two lines are parallel, they have equal slopes

But  

m₁ ≠ m₂

3/2 ≠ 2/3

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × 2/3

             = 6/6

             = 1

As  

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

Answer: B

Step-by-step explanation: the answer is (0,1)

Answer:

The answer is 3

Step-by-step explanation:

If you combine like terms you get 22x - 6 = 60

Then you set the numbers and x's apart = 22x = 66

Then you divide and get 3

Answer:

Your  picture Is blocked for me

Answer:

[tex]2(l + b) = {s }^{2} \\ 2(16 + b) = {13}^{2} \\ 32 + 2b = 169 \\ 2b = 137 \\ b = 68.5[/tex]

Answer:

A. Multiply the term number by 2, then subtract 5

Step-by-step explanation:

Edge 2021

Answer:

5x = -4

Step-by-step explanation:

5x = -4

x would have to be -4/5 because -4 divided by 5 is -4/5.

The equation will be 5x = -4 to get the solution of -4 / 5.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is multiplied by a variable and the solution is -4 / 5. Let the variable be x then multiply the variable by 5 which is equivalent to -4 now solve for the value of x.

The equation will be formed as below:-

5x = -4

x = -4 / 5

Therefore, the equation will be 5x = -4 to get the solution of -4 / 5.

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Answer:

$16 Dollars

Step-by-step explanation:

Answer:

G. 4

Step-by-step explanation:

Most geometrical solids can be unfolded into a flat pattern referred to as a net. This shows each part or surface spread out on an horizontal plane. The folding of the net with respect to the edges produce the initial solid.

From the given diagram,it can be observed that when the net is folded with respect to the edges, it would form a cuboid with x = 4.

Answer:

2x + 79= 0

2x = -79

X = -79/2

X = -39.5

The first common integer that comes to mind is 40, so multiple the numerator and denominator of the left fraction by 4, and the right by 5. This gives us:

36/40 and 35/40, respectively.

Thus, the left fraction is greater than the right fraction