each morning darnell does a combination of aerobics and stretching exercises. the exercises burn different amounts of calories per minute. the following system represents the time darnell exercises and the amount of calories burned. in the system, x represents the number of minutes darnell spends doing aerobics and y represents the number of minutes he spends stretching

x+y=60
15x+5y=500

Answer and Step-by-step explanation:

The equation would be y = 5x + 75

Now, plug in 1, 2, 6, and 12 for x (which represents the hours) and solve for y (which represents the price).

1 hour - $80

2 hours - $85

6 hours - $105

12 hours - $135

Answer:

x=(-1+i√119)/4

AND

x=(-1-i√119)/4

Step-by-step explanation:

[tex]2x^{2} +x+15=0[/tex]

step1: identify a,b and c from the equation.

a=2

b=1

c=15

step2: use the quadratic formula.

[tex]x=\frac{-b+or- √b^{2}-4ac }{2a}[/tex]

(sub a,b and c)

[tex]x=\frac{-1+or- √1^{2}-4*2*15 }{2*2}[/tex]

(simplify)

[tex]x=\frac{-1+or-√-119}{4}[/tex]

(write the two possible answers)

[tex]x=-\frac{1+i√119}{4}[/tex]  

AND

[tex]x=-\frac{1-i√119}{4}[/tex]

Answer:

x=2

Step-by-step explanation:

4x=8

/4   /4

divide both sides by 4

x=2

Answer:

x = 2

Step-by-step explanation:

Answer:

t = 2

Step-by-step explanation:

3 times 3 = 9 and 11 minus 9 equals 2

Answer:

23.8. I think

Step-by-step explanation:

So we already have 2/3 parts of the line, so SQ-RS=QR=23.8. because 68.4 minus 44.6 equals 23.8. Hope this helps.

Answer:6

Step-by-step explanation:

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

Standard Form of Quadratic Function

The standard form of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

The factored form of a quadratic equation is:

[tex]f(x)=a(x-\alpha)(x-\beta)[/tex]

Where [tex]\alpha[/tex] and [tex]\beta[/tex] are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

[tex]f(x)=a(x-1)(x-(-10))[/tex]

[tex]f(x)=a(x-1)(x+10)[/tex]

Operating:

[tex]f(x)=a(x^2+10x-x-10)[/tex]

Joining like terms:

[tex]f(x)=a(x^2+9x-10)[/tex]

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

[tex]\boxed{f(x)=x^2+9x-10}[/tex]

Answer:

119.166667

Step-by-step explanation:

Did math on calculator.

Answer:

119.166666667

Step-by-step explanation:

ima go with B my dude good luck

Answer:

1/3 or 0.3 (repeating decimal)

Step-by-step explanation:

The subtraction the fractions gives 1/3.

The fractions include two parts, numerator and denominator.

Numerator: It is the upper part of the fraction, that represents the sections of the fraction.

Denominator: It is the lower or bottom part that represents the total parts in which the fraction is divided.

Given that are two fractions 1/2 and 1/6, we need to subtract them,

Firstly, equating the denominators,

1/2 = 6/12

1/6 = 2/12

Therefore,

1/2 - 1/6 = 6/12 - 2/12

= (6-2)/12

= 4/12

= 1/3

Hence on subtracting the fractions we get 1/3.

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Answer:11

Step-by-step explanation:

x^2-108 =13

    +108   +108

x^2=121

2√x= √121

 x=11

Answer:

25/52, bcos there are 25 odd numbers from 1 to 52

Answer:

Use the figure at the right for Exercises 1-4

1) Name a pair of vertical angles.

Name a pair of adjacent angles with vertex M.

3) Name a pair of adjacent angles with vertex S.

N

4) Name a linear pair.

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

If you walk forwards, and make a 90° turn and walk the same amount, the angle will be half of 90, which is 45.

$6.50g+$3.50=$23.00                  

Answer:

b. better; high

Step-by-step explanation:

Answer: Choice D

(2,2) is the solution to line A, but not to line B

==========================================================

Explanation:

Let's find the equation of line A

First we need the slope

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

m = (6-0)/(0-3)

m = 6/(-3)

m = -2

Since the point (0,6) is on line A, we know b = 6 is the y intercept.

The equation of line A is y = -2x+6.

-----------------------------

Let's find the equation for line B

So we need the slope

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

m = (5-0)/(5-0)

m = 5/5

m = 1

The y intercept is b = 0 since the line goes through (0,0)

The equation of line B is y = 5x+0 which is the same as y = 5x.

------------------------------

Our system of equations is

[tex]\begin{cases}y = -2x+6\\y = 5x\end{cases}[/tex]

We can see that plugging x = 0 into line A's equation leads to y = 6. So (0,6) is on line A. However, the point (0,6) is not on line B because plugging x = 0 leads to y = 0.

This allows us to rule out choices A and B.

--------------------------------

Let's see what happens when we plug in x = 2 to line A

y = -2x+6

y = -2*2+6

y = -4+6

y = 2

The point (2,2) is on line A

Now let's do the same for line B

y = 5x

y = 5*2

y = 10

The point (2,10) is on line B meaning that (2,2) is not on line B.

We can rule out choice C and conclude that choice D is the final answer.

Side note: Choice D should read "(2,2) is a solution" instead of "(2,2) is the solution" since there are infinitely many solutions on any given line. So another solution for example would be (0,6).

Answer:

f(x)= (x - 1)^2+2 = 1

Step-by-step explanation:

Write F ( x ) = ( x − 1 ) 2 + 2 as an equation.

y=(x−1)2+2

Use the vertex form, y = a ( x − h )^2 + k , to determine the values of a , h , and k .

a = 1

h = 1

k = 2

Since the value of a is positive, the parabola opens up. Opens Up

Find the vertex ( h , k ) .

(1,2)

Find p , the distance from the vertex to the focus.

[tex]\frac{1}{4}[/tex]

( 1, [tex]\frac{9}{4}[/tex] )

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x = 1

I hope this helps.

Answer: XY should be the answer

Step-by-step explanation: A guess I took and got right

Answer: It’s $15,219.20

a.k.a D at least that’s what it says on mine

Step-by-step explanation:

Hope this helps and just answered question correct on edg so yea

Answer: 41 minutes

Step-by-step explanation: I just counted by 10s until I got to 57 then added 10 seconds to make it 5:07, added 1 and boom 41 minutes

The time taken by Lee to go to the mall, when he left to go to the mall at 4:27 pm he arrived at 5:08 pm, is 41 minutes.

To subtract the time, follow the steps,

Lee left to go to the mall at 4:27 pm he arrived at 5:08 pm. Subtract time in the following way,

As the 8 minute is shorter than 27 minute, thus borrow 60 minute from the hour and subtract 1 from the hour. Thus,

  4 hours 68 minutes

-  4 hours 27 minutes

_________________

  0 hours 41 minutes

_________________

Thus, the time taken by Lee to go to the mall, when he left to go to the mall at 4:27 pm he arrived at 5:08 pm, is 41 minutes.

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Answer:

Answer is b because scientific notation is a variable between 0-10 to the power of a number depending on how many digits it has.

A number from 1-10 in 238,900 miles is 2.389 so the base variable is 2.389. The decimal got moved from 238900. to the left. It moved 5 places.

It went like this;

1 left: 23890.0

2 left: 2389.00

3 left: 238.900

4 left: 23.8900

5 to the left: 2.38900

So the scientific notation is 2.389^5

X= 8/3 :)) hope this helps !

Answer:

The equation is [tex]199+49+79m=880[/tex]

Kyle has had cable for 8 months.

Step-by-step explanation:

Let m denotes number of months cable services have been used.

Initial charge for the cable box = $199

Setup fee = $49

Monthly charges for cable services = $79

Also,

Total bill over a certain number of months, m = $880

Therefore,

[tex]199+49+79m=880[/tex]

Now solve the equation.

[tex]199+49+79m=880\\248+79m=880\\79m=632\\m=\frac{632}{79}\\ m=8[/tex]

That is Kyle has had cable for 8 months.

Answer: Anywhere along the negative x axis

For example, the point could be (-1,0) or (-2,0)

All that matters is that x is negative and y = 0

Any point is on the x axis when y = 0

The negative portion of the x axis is to the left of the y axis.