A linear function f models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5. Identify the slope, y-intercept, and x-intercept of the graph.
FULL EXPLANATION PLEASE.

Answers

Answer 1

Answer:

this is your question

Step-by-step explanation:

please mark as brainliest

A Linear Function F Models A Relationship In Which The Dependent Variable Decreases 3 Units For Every
Answer 2

The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5

Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -

3y = 1/2x

y = 1/6x

At [x] = 0, y = - 5

So -

y = (1/6)x - 5

Now -

slope = 1/6

[y] - intercept = - 5

y = 0 = (1/6)x - 5

(1/6)x - 5 = 0

1/6x = 5

x = 1/30

[x] - intercept = 1/30

Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.

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Related Questions

What is 86.929 rounded to the nearest tenth ?

Answers

Answer:

86.9

Step-by-step explanation:

This is because after the decimal point, it goes to the tenths place and then the thousands place, therefore, if you round it, it would be 86.9.

Nate and his brother are saving money to buy a gaming system. The system they want cost $349. The store is having a sale and the system is 30% off. State sales tax 6%.

Answers

Answer:

258.96

Step-by-step explanation:

%30 = 0.3

%6   = 0.06

so..

349 - (349 × 0.3)

349 - 104.7

244.3

then do the tax which is %6 or 0.06

244.3 + (244.3 × 0.06)

244.3 + 14.66

258.96

Good Job! Pls Brailniest! it would mean a lot ;) !

3/5 x 1/7 please help

Answers

3/5 x 1/7 = 3/35, characters

Answer:

3/35

Step-by-step explanation:

3*1=3

5*7=35

3/35

Pls I’m rlly dumb it’s easy math picture here

Answers

Answer:

D. 2x, -4y and 8 :)

Step-by-step explanation:

Evaluate the expression 12- x when x=8​

Answers

[tex]given \: that \ :[/tex]

[tex]x = 8[/tex]

[tex]then \:12 - x \: will \: be \: :[/tex]

[tex]12 - 8[/tex]

[tex] = 4[/tex]

[tex]∴ \: 12 - 8= 4 [/tex]

Answer:

The result of 12-x when x=8, is 4

Step-by-step explanation:

Numerical Evaluation

Evaluate an algebraic expression means substituting the variables present in the expression by their respective numerical values, operate and report the result.

The given expression is

12 - x

Substituting x = 8, we get:

12 - 8 = 4

The result of 12-x when x=8, is 4

Help! I honestly dont get this !

Answers

Answer:

i don't get that ether

Step-by-step explanation:

Find all complex solutions (real and non-real). (Enter your answers as a comma-separated list.) x3 8x2 21x 20

Answers

Answer:

The answer is "non-real solution: "i-3 and -i-3" and real solution is -2".

Step-by-step explanation:

In the given equation there is some mistype error so, its correct equation can be defined as follows:

Given value:

[tex]\bold{ f(x) = x^3+ 8x^2 +22x +20}[/tex]

use hit and trial method we put x value are -2:

 [tex]f(-2) = (-2)^3+ 8(-2)^2 +22(-2) +20\\\\[/tex]

            [tex]= -8 + 8 \times 4 +22 \times -2 +20\\\\= -8 + 32 -44 +20\\\\= -52 + 52\\\\=0[/tex]

So, the real solution to the equation is "-2".

In the above solution, we calculate the f(x) =-2 is its real solution. so, the calculation for non-real solution:

divide the value [tex]x^3+8x^2+ 22x +20[/tex] by ([tex]x+2[/tex]):

Quotient: [tex]x^2+6x+10[/tex]

Remainder: 0

[tex]\to x^2+6x+10 \\\\compare \ with \ ax^2+bx+c: \\\\a= 1\\b= 6\\c=10\\\\\bold{Formula:}\\\\\to D= b^2-4ac\\\\[/tex]

        [tex]= 6^2- 4 \times 1 \times 10\\\\ = 36- 40\\\\ = -4[/tex]

Formula for calculate non-real solution:

[tex]\bold{\frac{-b\pm \sqrt{D}}{2}}[/tex]

non-real solution: "i-3 and -i-3"

during a sale, 20 cent bars of soap were sold at the rate of 3 for 50 cents. how much is saved on 9 bars?

Answers

Answer:

30 is saved

Step-by-step explanation:

20 x 3 = 60 - 50 = 10, you get 10 three times because of 9 / 3 = 3 you get 10 x 3 = 30

Chloe runs the after-school cookery club.
The group will be baking 36 scones using the following recipe.
Recipe for 12 scones:
• 250 g self-raising flour
• 60 g butter
• 30 g caster sugar
• 175 ml milk
How much milk will be used?
ml​

Answers

Answer:

525 ml

Step-by-step explanation:

12 : 175 ml

36 : x

= 175 × 36

= 6300

x = 6300/12

= 525 ml

The amount of milk that is used while baking 36 scones will be 525 mL.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Chloe runs the after-school cookery club. The group will be baking 36 scones using the following recipe.

Recipe for 12 scones:

250 g self-raising flour60 g butter30 g caster sugar175 mL milk

The amount of milk that is used while baking 36 scones will be given as,

⇒ 175 x 36 / 12

Simplify the expression, then we have

⇒ 175 x 36 / 12

⇒ 175 x 3

⇒ 525 mL

The amount of milk that is used while baking 36 scones will be 525 mL.

More about the ratio and the proportion link is given below.

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Use the properties of logarithms to write the following expression as one logarithm.

3 ln(x) + 2 ln(y) − 4 ln(x + 1)

Please show your work and explain, I would like to learn how to complete this type of problem!

Answers

Answer:

Step-by-step explanation:

hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.

ln(x^3)+ln(y^2)-ln((x+1)^4)

ln(x^3*y^2)-ln((x+1)^4)

[tex]ln(\frac{(x^3y^2)}{((x+1)^4)})[/tex]

An airplane is flying overhead at a constant elevation of 4090 ft. A person is viewing the plane from a position 3010 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 700 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower

Answers

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

twice a number is three more than nine​

Answers

Answer:

6

Step-by-step explanation:

Let that number be x.

[tex]2x = 9 + 3[/tex]

[tex]2x = 12[/tex]

[tex]x = 6[/tex]

60th Term of -10,8,26,...

Answers

Answer:

60th term is 1052

Step-by-step explanation:

position to term rule : position number multiplied by 18 then minus 28 (  position number × 18 - 28)

60 × 18 - 28

PLEASE HELP WITH THIS WILL GET EXTRA POINTS

Answers

Answer:

1.2

2.4

3.6

4.8

5.9

6.4

7.3

8.6

Step-by-step explanation:

Find an explicit formula for the arithmetic sequence
81
,
54
,
27
,
0
,
.
.
.
81,54,27,0,...81, comma, 54, comma, 27, comma, 0, comma, point, point, point.
Note: the first term should be
a(1)
a(1)start text, a, left parenthesis, 1, right parenthesis, end text.

Answers

Answer:

Can you redo it so I can answer it's kind of confusing

Answer:

81 - 27(n-1)

Step-by-step explanation:

Help me! What is the value of x in the matrix equation below?

Answers

Answer:

A. -3

Step-by-step explanation:

edge test

The value of x in the matrix equation comes to be 1.

What is a matrix?

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object.

The given matrix equation is:

[tex]-2\left[\begin{array}{cc}x&-1&3&5\\\end{array}\right] + \left[\begin{array}{cc}3&8&-1&6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

Multiply -2 with each element of the first matrix i.e. first matrix on the left side of the equation followed by the addition of matrices we get:

[tex]\left[\begin{array}{cc}-2x+3&2+8&-6-1&-10+6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}-2x+3&10&-7&-4\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

On comparing both matrices

-2x+3 = x

3x=3

x=1

Hence, the value of x in the matrix equation comes to be 1.

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Find the place value of the product 0.5 multiplied by 2.65

Answers

Answer: 1.325

Step-by-step explanation: I multiplied

Pls I need help ASAP

Answers

Answer:

the answer is 1/8

thank you

if you loved my answer then please like it and mark as brainliest

48minutes to 1hour
This is a ratio plz simplify it

Answers

Answer:

48/60=24/30=15/12=4/5 or 4:5

So your final answer is 4/5 or 4:5

Step-by-step explanation:

Ten less than a number is twice the same number​

Answers

Answer:Less ten a number; 20 - 10.10 ×2 = 20

Meaning lees 10 from 20 and multiply

Hi there!

First of all, let the unknown number be z.

Now, subtract 10:

z-10

This expression is equal to twice the same number:

z-10=2z

Solve this equation:

z-2z=10

-z=10

Divide both sides by -1 in order to get rid of the minus sign:

z=-10

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

The annual fundraising goal of a sports team is​ $100,000. So far ​$41,317 has been raised. How much more money is needed to reach the​ goal?​

Answers

Answer:

58,683

Step-by-step explanation:

subtract

Got a #30 question math quiz paying $10 anyone , send your socials or #

Answers

This sounds sus to me ┐( ̄ヘ ̄)┌

NEED HELP WITH MATH! Will Give Brainliest! Image is below.

Answers

2 looked it up on google

Christopher wanted to save some money. After 4 weeks, Christopher $50, and after 9 weeks, he saved $100. What was the average amount Christopher saved per week? * A.5 B.50 C.12.5 D.10​

Answers

Step-by-step explanation:

I think 12.5 is the answer

Two lines in the same plane that do not intersect are.
A.line segment
B.perpendicular
C.parallel
D.midpoint

Answers

The answer is c they’re parallel

Shonda painted 3 walls in her home. She used 34 of her paint. She used the same amount of paint on each wall.

How much of her paint was used on each wall?

Drag and drop the correct answer to complete the statement.

Shonda used ________ area of her paint on each wall.
Please help me

Answers

Answer:

en que exactamente necesitas mi ayuda????

Step-by-step explanation:

???????

Answer: Shonda used 1/4 of her paint on each wall.

Step-by-step explanation:

If she used 3/4 of her paint on 3 walls, then each wall used up 1/4 of her paint.

3/4 divided by 3 = 1/4

Hope this helps!

The ratio of Vicki's savings to Donna's savings is 4 : 7. Vicki saved $225 less than Donna. How much money did Vicki save?​

Answers

Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300

mass and weight math​

Answers

Answer: There is 1,000 milligrams in 1 gram.

Answer:

1000mg

Step-by-step explanation:

to be honest that's the obvious answer

and in advance

1kg=1000000mg

1kg=1000g

1g=1000g

solve the equation
–12p = 24

Answers

Answer:

p = -2

Step-by-step explanation:

24 divided by -12

p= -2

45.52
The attendance at a seminar in year 1 was 500. In Year 2, the attendance changed by 100. What was the percent chang
in attendance?
O The percent change was 0.2%.
O The percent change was 0.4%.
O The percent change was 20%.
O The percent change was 40%.
Save and Exit
Next
Submit
Marke this and tu

Answers

Answer:

20%

Step-by-step explanation:

[tex]percent change = \frac{difference}{original value} * 100[/tex]

[tex]= \frac{100}{500} * 100\\= 20[/tex]

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