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Darren is training for a triathlon. Each week, he goes to the gym for a maximum of 20 hours. He spends at least 8 of those hours weightlifting (x). He wants to spend no more than 15 hours doing cardio exercises (y). Write a system of linear inequalities that represents the restrictions of this scenario.

4, -1/4 -1,

we can do this simply by

(y2-y1)/(x2-x1)

and simplifying

Answer:

35

Step-by-step explanation:

Answer:

x = -77

Step-by-step explanation:

based on the given conditions

x - 14 = -91

x = -91 + 14 then calculate the difference between -91 - 14 = -77

thus x which is peters number = -77

Answer:

g(4) = 12

g(-5) = 48

Step-by-step explanation:

I will assume that you meant g(x)=x^2 - 3x + 8,

A)  To find g(4), substitute 4 for each instance of 'x' in this function:

g(4) = (4)^2 - 3(4) + 8, or

g(4) = 16 - 12 + 8, or

g(4) = 12

Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48

g(-5) = 48

Answer:

A) 12

B) 18

Step-by-step explanation:

A) 4^2 - 3(4) + 8

16 - 12 + 8 = 12

B) -5^2 - 3(-5) + 8

25 + 15 + 8 = 48

Answer:

JK = 12.6

Step-by-step explanation:

Similarity says ratio of any cooresponding sides are equal to the ratio of any other cooresponding sides. SO

25.2/66 = JK/33

33(25.2/66) = JK

12.6 = JK

Answer:

A) 7.5 seconds

Step-by-step explanation:

Height of the ground is zero

-16t^2 + 120t = 0

Divide both sides by 16

-t^2 + 7.5t = 0

Factor out t

t(-t + 7.5) = 0

From the zero product rule

t = {0, 7.5}

0 would be time of launch

7.5 is time back to the ground

Answer: y = 2x -2

Step-by-step explanation: parallel is same slope diff y intercept

y = 2x

4 = 2(3) + x

4 = 6 + x

x = -2

Answer:

definition of perpendicular

Step-by-step explanation:

typically when 2 lines cross they are 90 degrees or other word... perpendicular

Answer:

Each women purchased 32 towels.

Step-by-step explanation:

Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.

Answer:

4.2702702703

=

4 Remainder 10

Step-by-step explanation:

158 divided by 37 = 4.270

The result of 158/37 is a non-terminating, repeating decimal.

The repeating pattern above, 270, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 158/37 = 4.(270): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 158 / 37 = 4.270… .

158 divided by 37 in decimal = 4.270

158 divided by 37 in fraction = 158/37

158 divided by 37 in percentage = 427.02702703%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 158 and 37, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 158, and the denominator, e.g. 37, have been inserted.  

Answer:

4.2703

Step-by-step explanation:

[tex] \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \div \frac{22}{5} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \times \frac{5}{22} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{5}{4} \\ = \frac{7}{4} - \frac{5}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]

[tex] \frac{1}{2} [/tex]

$32 for each hockey stick

Step-by-step explanation:

71+25=96

Zack received $32 for each hockey stick he sold. He earned $96 in total from selling 3 sticks after deducting $25 for gloves, leaving him with $71.

Given that Zack sold 3 old hockey sticks and earned a total amount of money.

He spent $25 of his earnings on a pair of used hockey gloves.

After buying the gloves, he had $71 remaining.

Now, we need to find out how much Zack received for each hockey stick.

Let's assume the amount he received for each hockey stick is "x" dollars.

Total earnings from selling the hockey sticks = Number of sticks sold × Amount received per stick

Total earnings = 3x

Zack spent $25 on gloves and had $71 remaining, so we can write this equation:

Total earnings - Amount spent = Remaining money

3x - 25 = 71

Now we can solve for x (the amount received for each hockey stick):

3x - 25 = 71

Add $25 to both sides:

3x = 96

Divide both sides by 3:

x = $32

So, Zack received $32 for each hockey stick he sold.

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Answer:

f'(x)=6x+8

Step-by-step explanation:

Answer:

y = -1/2x + b  meaning f(x) = -1/2x + b

Step-by-step explanation:

Use two points on the graph that you can find the value of  or use Slope = raise/run

let use points (2,0) and (0, 1)

slope = (change in the y-value)/(change in the x-value.

slope = (1 - 0)/(0 - 2)

slope = 1/-2 or -1/2

Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.

slope = raise/run

slope =  1/-2 or -1/2

Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .

y= mx + b

0 = -1/2(2) + b

0 = -1 + b

1 = b

Now write your equation: y = mx +b where m = -1/2 and b = 1

y = -1/2x +b

Step-by-step explanation:

..............

=> 3x + 4y = 12

Answer:

He has $2.02

Step-by-step explanation:

You answered the question in the first sentance.

We can solve for t by making it the subject of the equation.

since   I = Prt             [divide both sides by Pr]

Answer:

One solution

Step-by-step explanation:

3x+x+2=8x-4x+2

Combine like terms.

4x+2=4x+2

Solve for x

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

2=2

This equation has one solution because 2 only equals 2 and will not equal any other number.

Answer:

[tex]m=− 32​ ≈−0.666666667[/tex]

Step-by-step explanation:

Answer:

777

Step-by-step explanation:

Answer:

913

good luck <3

The volume of a square base pyramid with edge length of 5 cm and height of 7 cm is 58. 33 cm³

The volume of a pyramid is decribe as follows:

volume of a pyramid = 1 / 3 Bh

where

Therefore,

B = 5² = 25 cm²

volume of the pyramid = 1 / 3 × 25 × 7

volume of the pyramid = 175 / 3

volume of the pyramid = 58.3333333333

volume of the pyramid = 58. 33 cm³

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Answer:

C. 58 1/3 cm^3

Step-by-step explanation:

Answer:

x + 15 = 3 (x - 5)

William’s current age: 15. Years old

Step-by-step explanation:

x + 15 = 3(x-5)

x + 15 = 3x - 15

15 + 15 = 3x - x

30 = 2x

x = 15

Answer:

15

Step-by-step explanation:

[tex]x^{2} + 2x = 3^{2} + 3 * 2 = 9 + 6 = 15[/tex]

3 · 2 = 6

2 · 3 = 6

6 + 6 = 12

Have a luvely day!

Answer:

attached

Step-by-step explanation:

Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc

The correct option is D f⁻¹(x) = 2 + √(x + 2).

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function of a function f in mathematics is a function that reverses the operation of f.

The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,

f⁻¹(x) = 2 + √( x + 2).

Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).

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Answer:

7*7=49

Step-by-step explanation:

x2y

7*2*9

=129

7*9

=63

9*2

=18

7*2

=14

7*7

=49

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]