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Nady [450]
3 years ago
8

This graph describes which of the expressions given?

Mathematics
2 answers:
alexandr1967 [171]3 years ago
8 0
The answer is c
Hope this helps!
kolezko [41]3 years ago
3 0

Answer:

x ≤ 13

Explanation:

The dot is filled in which means it is equal to 13, and since the arrow is pointing towards the numbers less than 13, x is less than or equal to 13.

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You are trying to bulk and gain muscle. Your trainer says your daily calorie intake should increases based on hours you spend ex
s2008m [1.1K]

a) T - Calories, 2000 - <em>Minimum</em> calories, 500 - Additional calories per exercise hour, b) We should consume 3500 calories to spend three hours exercising.

<h3>How to analyse a linear function of calorie gain in terms of the exercise time</h3>

In this question we have a <em>linear</em> function where the <em>independent</em> variable is the exercise time (h), in hours, and the <em>dependent</em> variable is the calorie gain (T), in calories. The constant "2000" is the <em>minimum</em> calorie consumption and the constant "500" represents the amount of <em>additional</em> calories per each hour of exercise.

Now we proceed to respond the questions of the part a):

(i) T - Amount of calories needed, (ii) 2000 - Minimum calorie consumption, (iii) 500 - Amount of additional calories per hour of exercise.

b) And lastly we calculate the amount of calories by evaluating the function:

T = 2000 + 500 · 3

T = 2000 + 1500

T = 3500

We should consume 3500 calories to spend three hours exercising.

<h3>Remark</h3>

The statement is incomplete, the complete form is shown below:

You are trying to bulk up and gain muscle. Your trainer says that your daily calorie intake should increase based on the hours you spend exercising and can be represented by the following equation: T = 2000 +  500 · h

a) What does each part of this expression represent? (i) T = , (ii) 2000, (iii) 500, (iv) h

b) If you spend 3 hours exercising, how many calories should you consume?

To learn more on linear functions: brainly.com/question/21107621

#SPJ1

4 0
2 years ago
The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length.
emmasim [6.3K]

Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b

or, ( 30x²y + 20xy ) = L × 10xy cm

or,\frac{30 {xy + 20xy}^{2} }{10xy}  = l \\

or, \: l = 3 {x}^{2 - 1}  + 2cm

\boxed{\sf{l = (3x+2)cm}}

2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.

= Solution,

= \frac{20 {x}^{4} {y}^{2}  }{5 {x}^{3} y}   \\

= 4xy

The product of 3x and 4y = 6xy

= 6x - 4xy

= \boxed{\sf {2xy}}

hope it helped !!!!

7 0
2 years ago
Write the equation of a line in - form that contains the point (- 1, - 2) and is perpendicular to the line y = 5x - 10 degrees
galina1969 [7]

Answer:

y+2= -1/5(x+1)

Step-by-step explanation:

if lines are perpendicular their slopes are negative reciprocal

y=mx+b where m is the slope

y=5x-10 has the slope 5 so a perpendicular line will have slope -1/5

equation point slope form

(y-y1) = m(x-x1) where m is slope, and (x1,y1) any point that belongs to the line

y+2= -1/5(x+1)

3 0
2 years ago
Calculate the principal amount which earns $500 simple interest over 3 Years at a rate of 8% p.a round to the nearest cent
timama [110]
$500 was earned over 3 years
so, to find one year
500 ÷ 3 = $166.67

Interest for one year is $166.67
Interest rate for one year is 8%

8% = 166.67
1% = $20.83
100% = $2083.33

Principal amount is $2083.33
7 0
3 years ago
Let f(x)= x^2 -2x+6 find f(-1)
Leokris [45]

Answer:

Step-by-step explanation:

f(x) = x^2 - 2x + 6

to find f(-1), we sub in -1 for every x

f(-1) = (-1^2) - 2(-1) + 6

f(-1) = 1 + 2 + 6

f(-1) = 9 <=======

8 0
3 years ago
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