Write the equation for this situation, then give the x-intercept, y-intercept, and slope. A person is wanting to burn 500 calories a day through excercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running. ALSO - explain what the x and y-intercepts mean in this situation. Your answer:

Answers

Answer 1

Answer:

[tex]x[/tex]-intercept is [tex](68.5,0)[/tex]

[tex]y[/tex]-intercept is [tex](0,44.2)[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes time denoted (in minutes) by a person in jogging.

Let [tex]y[/tex] denotes time denoted (in minutes) by a person in running.

A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.

So, equation becomes [tex]7.3x+11.3y=500[/tex]

For [tex]x[/tex]-intercept, put [tex]y=0[/tex]

[tex]7.3x+11.3(0)=500\\7.3x=500\\x=68.5[/tex]

So, [tex]x[/tex]-intercept is [tex](68.5,0)[/tex]

For [tex]y[/tex]-intercept, put [tex]x=0[/tex]

[tex]7.3(0)+11.3y=500\\11.3y=500\\y=44.2[/tex]

So, [tex]y[/tex]-intercept is [tex](0,44.2)[/tex]

Differentiate equation [tex]7.3x+11.3y=500[/tex] with respect to [tex]x[/tex]

[tex]7.3+11.3y'=0\\y'=\frac{-7.3}{11.3}\\ y'=-0.65[/tex]

[tex]x-[/tex]intercept means that a person spends 68.5 minutes in jogging and no time in running.

[tex]y-[/tex]intercept means that a person spends 44.2 minutes in running and no time in jogging.


Related Questions

Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny

Answers

the correct answer is c. hope this helped

Anyone wanna help?please

Answers

Answer:

x=14

Step-by-step explanation:

(8x-4)+(6x-12)=180

14x-16=180

14x=196

x=14

If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13

Answers

The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.

What is a function?

Functions are found all across mathematics and are required for the creation of complex relationships.

If f(x) = 2x – 5 and g(x) = x² – 4x – 8.

Then the function (f+ g)(x) will be

(f+ g)(x) = f(x) + g(x)

(f+ g)(x) = 2x – 5 + x² – 4x – 8

(f+ g)(x) = x² – 2x – 13

Then the correct option is A.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

HELP FAST !!! plzzzzz

Answers

Answer:

Flip the triangle around at the point Z

Step-by-step explanation:

The reason you need to flip the triangle at point Z is because, when reflecting, you need to reflect it over the line given. since the reflective line is x = 1, you reflect it off the line x of 1 or point (1,0). Also, when reflecting, the line of reflection will actually be perpendicular with the point given because, when reflecting, x = 1 means that all of the x coordinates on the line will equal 1. For example, your line would have to pass through the points (1,-4), (1,-2), (1,0), (1,2), so on so forth so in this statement, all of your points will be reflected over that line and since z is on that line, the triangle is just fliped at point z.

A block with a mass of 10 kg is being pushed. its acceleration is 5 m/s.s . Calculate the force acting on the block ? plz answer for good luck

Answers

Answer:

The answer is 50 N

Step-by-step explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 10 kg

acceleration = 5 m/s²

We have

force = 10 × 5

We have the final answer as

50 N

Hope this helps you

PLEASE HELP ME GIVING 50 POINTS!!! A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the car be rented if they want to spend less than $760.00 on the van rental?

Answers

Answer:

75x+160<760

Step-by-step explanation:

uhh it should be that if it´s not i´m sorry

Answer:

75x+160>760

Step-by-step explanation:

write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)

Answers

Answer:

y = x+5

Step-by-step explanation:

First find the slope

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

   = ( 7-3)/(2 - -2)

   ( 7-3)/(2+2)

   4/4

  1

Then slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1*x+b

y = x+b

Substitute a point into the equation

7 = 2+b

7-2 =b

5=b

y = x+5

Answer:

M=1

Step-by-step explanation:

find the slope (M)

the slope is 1

Hope this helps Bodhi,

How do I solve this?(tangent segment)

Answers

Answer:

x = 6

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the measures of the external part and the entire secant, that is

x² = 4(4 + 5) = 4 × 9 = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

3 7/10 x 7 what is the answer in fraction form or decimal form. Perhaps both

Answers

Answer:

Step-by-step explanation:

3 7/10 *7

37/10 *7

259/10

25.9 or 25 9/10

Can someone please help me I need help

Answers

Answer:

8 in

Step-by-step explanation:

Step 1: Define

A = 56

b = 7

A = bh

Step 2: Find h

h = A/b

h = 56/7

h = 8

Answer:

h= 8 inches

Step-by-step explanation:

A= bh;  b= 7 inches;    Area= 56 inches squared

56= 7h

56/7 = 7h/7

h= 8 inches

hope this helps!

please please help me!!

Answers

Answer:

g(x) = f(x+1) + 1

Step-by-step explanation:

Since the graph is only moved you don't have to worry about the slope.

To move the graph to the left you add to the x and in this case, it only moved 1 over.

to move the graph up you add to the whole function and in this case, it only moved up 1.

how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST

Answers

Answer:

8(4+4) =7 38+38

=86



A local charity collected 163 cans of food
every day for 14 days. How many cans did they collect
in the first 10 days? How many did they collect in the
remaining 4 days? How many cans did they collect in
all? Solve this problem any way you choose!

Answers

Answer:

This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?

Step-by-step explanation:

Use Graphs A-D for Exercises 9-11. During the winter, the amount of water that flows
down a river remains at a low constant. In the spring, when the snow melts, the flow of
water increases drastically, until it decreases to a steady rate in the summer. The flow
then slowly decreases through the fall into the winter. Consider the graphs shown.
A.
B.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
C.
D.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
9. Which graph best represents the given situation?
Graph B
10. Describe the other three graphs.
11. What are possible situations for graphs B, C, and D?

Answers

did u get the awnsers?

Miguel completed the division problem below. What is Miguel's error? 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145. He included a 5 in the quotient, which does not belong. He multiplied the divisor by 10 and the dividend by 100. He subtracted 208 from 234 incorrectly. He multiplied the divisor by 100 and the dividend by 10.

Answers

Answer:

He multiplied the divisor by 100 and the dividend by 10.

Step-by-step explanation:

Given that

Divisor = 0.52

And, the dividend is 754

It can be written as

Divisor is 52 i.e. (0.52 × 100)

And, the dividend is 7540 i.e. (754 × 10)

Now if we multiplied by 100 and divide by 10 so it gives the same result

Therefore the last option is correct and the same is to be considered

And all the other options are wrong

Answer:

D He multiplied the divisor by 100 and the dividend by 10

Step-by-step explanation:

Hope this helps:)

14. Using 1 inch = 15 feet as the scale factor, what are the blueprint dimensions of a room in a model house that is actually 30 feet x 45 feet?

O2 in x 3 in.
O 3 in 2 in
O2 in x 2 in
O 3 in x 2 in​

Answers

2 in x 3 in; you divide 30 and 45 by 15 and get 2 and 3.

what is addition property

Answers

Answer:

When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order. When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

Step-by-step explanation:

there

There are four mathematical properties which involve addition. The properties are the commutative, associative, identity and distributive properties.

Commutative Property: When two numbers are added, the sum is the same regardless of the order of the addends.

For example 4 + 2 = 2 + 4

To remember the commutative property, it might be helpful to think about the word commute which means to switch places between home and work (or home and school). In the example above, you can see the 4 and the 2 commuting or switching places.

Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

For example (2 + 3) + 4 = 2 + (3 + 4)

To remember the associative property, it might be helpful to think about the word associate, which as a verb means to interact with a group (maybe you associate with a certain group of friends!). The parentheses are grouping operators, that is, they form groups of numbers and operations. You can see in the example above, the 3 can associate with either the 2 or the 4, but the value of each side is still a total of 9.

Identity Property: The sum of any number and zero is the original number.

For example 5 + 0 = 5.

To remember the identity property, it might be helpful to think of it as a question and answer: What number can I add so that the value is not changed? Zero. In the example above, the 5 gets to keep its identity because adding zero does not change its value.

Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.

For example 4 * (6 + 3) = 4*6 + 4*3

The distributive property is the only property that combines multiplication and addition. That makes it very important!

Help me plz plz plz

Answers

Answer:

root 1

Step-by-step explanation:

The value of root 1 to any power is equal to 1.

Answer:

A

Step-by-step explanation:

10/10 = 1

Hope this helps! <3

which number produces a rational number when multiplied by 0.5
a. square root of 3
b. 1/3 (1 over 3)
c. 0.555... (0.555 repeating)
d. square root of 16

Answers

Its B because 0.5 repeats n a rational number that is multiple by 0.5 its half of the number

Answer:

square root of 16

Step-by-step explanation:

the square root of 16 is 4 and 4 times .5 equals 2

Which equation below represents a horizontal line?


x = 4


y = x – 0


y = x + 0


y = 4

Answers

Answer:

x=4

Step-by-step explanation:

this should be the answer hope it helps

Y= 4 hope this helps

27. In a class test containing 15 questions 4 marks are given for every correct answer and
(-1) marks are given for every incorrect answer.
(i) Gokul attempts all questions but only 6 of his answers are correct. What is his
total score?
(ii) Neena gets 12 of her answers correct. What will be her score?​

Answers

Answer:

24 and 72

Step-by-step explanation:

just multiple them both by 6

suppose that there were a positive correlation between the variables u and v. if v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?

Answers

Answer: 48

Step-by-step explanation: I got it wrong and it said the correct answer was 48

The measure of an angle is 8 more than the measure of the other angle. If the two angles are complementary angles, find the measure of each angle

Answers

Answer:

yd wyyhvbfhu vuhcvb u sbhn j sbjhdghdgfh jbvdfhj gbhvdfhv hvg h jhs vh gh

Step-by-step explanation:

please answer i need help

Answers

Answer:

h < 2

Step-by-step explanation:

Given

5(2h + 8) < 60 ( divide both sides by 5 )

2h + 8 < 12 ( subtract 8 from both sides )

2h < 4 ( divide both sides by 2 )

h < 2

Answer:

h<2

Step-by-step explanation:

5(2h+8)<60

2h+8<12

2h<4

h<2

10. -4x + 7 = 15; -2 and tell whether the given number is a solution of each equation

Answers

Answer:

[tex]x = - \frac{3}{2} [/tex]

Step-by-step explanation:

-4x+7=15-2

subtract number 15-2

-4x+7=13

-4x=13-7

-4x=6

divide

x=-3 over 2

1) Find mZCDE if m CDK = 110°
and m KDE = 380
E'
TA
To

Answers

490 degrees is the answer.

PLEASE HELP, DUE SOON!!

Answers

Answer:

118

Step-by-step explanation:

because it says: if m < 11 = *118*

This year, there were 25% fewer sunny days than last year. That’s my question.

Answers

If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.

Which one?
A. B. C. or D? ​

Answers

Answer:

b

Step-by-step explanation:

because b sounds like it lol

PLEASE HELP HELP PLEASEEEEEEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

So it needs to go down because its negative. So B and C are out. Now if you look at the y intercept (4), you just have to look at which graph has a y intercept that's positive. So that's D

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