find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18

Answers

Answer 1

Answer:

Step-by-step explanation:

2x - 8y = - 18

    - 8y = - 2x - 18

         y = ¼x + 2¼

y intercept occurs when x = 0, so b = 2¼  (0, 2¼)

x intercept occurs when y = 0

0 = ¼x + 2¼

¼x = - 2¼

  x = -9     (-9, 0)  

Find The X And Y Intercepts Of The Following Linear Function And Draw The Graph: 2x-8y=-18

Related Questions

PLEASSEEE HELPP!!!!!

Answers

Answer:

m

Step-by-step explanation:

after a party 3/4 cake is leftover. Dennis eats 1/2 of the leftover cake. Which fraction model represents the amount of cake Dennis eats?​

Answers

8/8-5/8 = 3/8 Which Is Equivalent To The Amount Of Cake Left Over And The Amount Of Cake That Dennis Ate

2. A faucet for a 30-gallon bathtub fills at a rate of 3 gallons per minute.
If the drain lets water out at 1.5 gallons per minute, how long would it
take for the tub to overflow if both the faucet and drain were open at the
same time?

Answers

Answer:

20

Step-by-step explanation:

Knowing that it is a 30-gallon bathtub.

And it fills at a rate of 3 gallons per minute.

But also drains 1.5 gallons per minute.

So this is for the first minute.

3 - 1.5 = 1.5

So there will be 1.5 gallons of water in the tub after the first minute.

Now do,

30 ÷ 1.5 = 20

It will take 20 full minutes for the bathtub to fill up.

which of the following represents an arithmetic sequence with a common difference of -8.5?​

Answers

Answer:

C

Step-by-step explanation:

to have a common difference of -8.5, the sequence has to consistently go down by 8.5.

in the first one, y would go up by 2 every time x goes up by 1, so its not that one.

in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.

in the third one, each time it goes down by 8.5 so this is the answer.

the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]

We can solve this system using substitution

5x+3y=17

Divide by 5 to have a coefficient of 1 before x

[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]

Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side

[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]

Now, we can plug in our value for x into the given equation

[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]

Open the parentheses

[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]

Merge Y values

[tex]6.8+10.8y=23[/tex]

Separate numerical values from variables

[tex]10.8y=16.2[/tex]

Divide by 10.8 in order to have a coefficient of 1

[tex]y=1.5[/tex]

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

[tex]5x+3(1.5)=17[/tex]

Open parentheses

[tex]5x+4.5=17[/tex]

Single out the variable

[tex]5x=12.5[/tex]

Divide by 5 to have a coefficient of 1 before x

[tex]x=2.5[/tex]

[tex]y=1.5[/tex]

suppose You earn Birr 10,000.00 per month and pay 20% tax and spend 60% of it. Again the recipient of the money spent by you pays 20% tax and spends 60% of it. If this process continues without end, find the total amount that wil be paid for the tax​

Answers

Answer:

  Birr 5000

Step-by-step explanation:

You will pay 10,000×20% = 2000 in tax. Recipients of your spending will pay ...

  0.60×10,000×20% = 1200

Recipients of the spending at the next level will pay a tax of ...

  0.60×0.60×10,000×20% = 720

That is, the tax amounts have an initial value (a1) of 2000 and a common ratio (r) of 0.60. Their total is given by the formula ...

  sum = a1/(1 -r)

  sum = 2000/(1 -0.6) = 5000

Birr 5000 will be the total amount paid for tax in this process.

Mara is playing a game. There are two marbles in a bag. Ifshe chooses the purple marble, she will win $10. If she chooses the orange marble, she will win $200. What is the expected value of Mara's winnings from the game?

Answers

Answer:

Step-by-step explanation:

Mara has a 50% chance of getting the purple marble and 50% of getting an orange marble, since there's 2 marble; 1 purple and one orange; 1/2 = 50%

So she has a 50% chance of receiving $10 and a 50% chance of receiving the $200.

(01.04 MC)The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)

Answers

A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ft

B) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.

First of all, sea level is at 0 ft.

Thus;

If city A has an elevation of 80 ft below sea level, then;

Elevation of city A = -80 ft

The elevation of city C is 16 feet below sea level. Thus;

Elevation of city C = -16 ft

A) The elevation of city D is ¹/₂ of the elevation of city C. Thus;

Expression for Elevation of city D = ¹/₂ × (-16)

B) Solving the expression for elevation of city D gives;

Elevation of City D = -8 ft

The reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.

Read more about below sea level elevations at; https://brainly.com/question/14837848

Answer:

A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ftB) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.First of all, sea level is at 0 ft.Thus;If city A has an elevation of 80 ft below sea level, then;Elevation of city A = -80 ftThe elevation of city C is 16 feet below sea level. Thus;Elevation of city C = -16 ftA) The elevation of city D is ¹/₂ of the elevation of city C. Thus;Expression for Elevation of city D = ¹/₂ × (-16)B) Solving the expression for elevation of city D gives;Elevation of City D = -8 ftThe reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.

Hello hello there help

Answers

Answer:

Step-by-step explanation:

A translation 1 unit left and 2 units down :)

Answer:
1 unit to the left and 2 units down.

One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *

Answers

Answer: I need the map good sir please show it

Step-by-step explanation:

Question
Round to the nearest ten: 1,078

Answers

Answer:

7 = 7 * 10 = 70

Step-by-step explanation:

Answer:

1080

Step-by-step explanation:

How to Calculate Rounding to the Nearest Tens Whole Number?

If the ones digit (first number after decimal point) of the number is greater than or equal to 5 we add 1 to tens of number, If the ones digit of the number is less than 5 we change ones digit to 0.

Example:

1026The ones number is 66 is greater than 5, so we add 1 to tens.Result = 1030

[tex] \: [/tex]

The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?

7
10
12
22

Answers

Answer:

[tex]\displaystyle b = -22[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = (x^3+bx+6)(g(x))[/tex]

Where b is a constant and g is a differentiable function.

And we want to determine the value of b such that f'(2) = 0.

Find f' using the product rule:

[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ (x^3+bx+6)(g(x))\right] \\ \\ & = \frac{d}{dx}\left[ x^3 + bx + 6\right] g(x) + (x^3+bx+6)\frac{d}{dx}\left[ g(x)\right] \\ \\ & = (3x^2+b)(g(x)) + (x^3 + bx + 6)(g'(x))\end{aligned}[/tex]

Substitute using known values and solve for b:

[tex]\displaystyle \begin{aligned}f'(2) = 0 & = (3(2)^2+b)(g(2)) + ((2)^3+b(2)+6)(g'(2)) \\ \\ 0 & = (12+b)(3) + (14+2b)(-1) \\ \\ 0 & = 22 +b \\ \\ b & = -22\end{aligned}[/tex]

In conclusion, the value of b is -22.

The function f is given b is a constant and g is a differentiable function the value b (-8.4),

Let's start by finding the derivative of the given function f(x) with respect to x:

f(x) = (x³ + bx + 6) × g(x)

Using the product rule for differentiation, the derivative of f(x) is:

f'(x) = (x³ + bx + 6) × g'(x) + g(x) × (3x² + b)

Now we are interested in finding the value of b for which f'(2) = 0. So, let's plug in x = 2 and use the information given about g(2) and g'(2):

f'(2) = (2³ + 2b + 6) × g'(2) + g(2) × (3 × 2² + b)

Since g(2) = 3 and g'(2) = -1,

f'(2) = (8 + 2b + 6) × (-1) + 3 × (3 × 4 + b)

= (2b + 14 - 8) + 3× (12 + b)

= 2b + 6 + 36 + 3b

= 5b + 42

Now, we want to find the value of b for which f'(2) = 0:

5b + 42 = 0

Subtracting 42 from both sides:

5b = -42

Dividing both sides by 5:

b = -8.4

To know more about function here

https://brainly.com/question/30721594

#SPJ3

Complete question:

The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?

7

10

12

22

-8.4

E varies directly with G. When G is 6, E is 10. Find the value of G when E is 18

Answers

Answer: multiply 6 by 3 and 10 by 3

Step-by-step explanation:

G = 10.8

creds to sqdancefan

Please answer it....

If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?

Answers

The third ordered pair that satisfy the given equation is (123, 369).

The given parameters;

[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333).

The third ordered pair of the equation can be determined by using general equation of a circle;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The radius of the circle is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the third ordered pair that satisfy the given equation is (123, 369).

Learn more about equation of circle here: https://brainly.com/question/1506955

Can anybody help me with these three problems thank you

Answers

Answer:

1) 1/7

2) 1/3

3) 1/4

Step-by-step explanation:

1) Since there are 7 days in a week it can be expressed as the fraction 1/7

2) Since there are 3 feet in a yard it can be expressed as the fraction 1/3

3) Since there are 4 quarts in a gallon it can be expressed as the fraction 1/4

What is the product of the expression below?
4/7

×
5/8

Answers

4/7 x 5/8
Multiply numerators and denominators

= 20 / 56
Simply

= 5 / 14

YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:

If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?

If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?

Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?

Answers

Answer:

(0.5,-0.5)(0.5,0.5)2 yards

Does (3, -50) make the equation y = -8x true? ​

Answers

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Graph the function
f(x) = 3/5x - 5

Answers

Step-by-step explanation:

okay, plot a point at (0,-5) then count 3 units up and 5 units to the right and put a point there

connect the points with a straight line

add arrows to each end of the line :)

Simplify Exponents and Roots

Answers

The answer is A: 2 square root 2.

What number must each side of the equation 3/5x= 12 be multipled by to produce the equivalent equation x = 20?

Answers

Answer:

1

Step-by-step explanation:

First, find out what the product would be if you multiply 20 with the fraction:

(3 * 20)/5 = 60/5 = 12

12 = 12 ∴ (3/5)(20) = 12

As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.

At​ noon, a tank contained 8 in. of water. After several​ hours, it contained 6 in. of water. What is the percent decrease of water in the​ tank?

Answers

Answer:

25%

Step-by-step explanation:

8-6=2

2/8=0.25

0.25×100=25%


88, 89, 86, 90, 83, 81, 89
What is the median number
A 88
B. 89
C 90
D. 86

Please answer this I really need help

Answers

Answer:

The answer is 90.

Step-by-step explanation:

90 is in the middle

Answer:

d

Step-by-step explanation:

cause i said so

a painter has 3 gallons of paint and each will cover 420 ft of wall space. if the total area was 1800 ft what percent of the job could the painter finish with the paint he already has?

Answers

Answer:

23.33333%

Step-by-step explanation:

Help me I need this urgent

Answers

Answer:

b(-1)= -6

b(0)= -4

b(4)=  4

Step-by-step explanation:

2(-1) - 4

-2-4=-6

2(0) - 4

0 - 4 = -4

2(4) - 4

8 - 4 = 4

Answer:

-6, -4, 4

Step-by-step explanation:

Circle A was dilated with the origin as the center of dilation to creat circle b

Answers

Answer: The answer is B.)

Have a great Day/Night!

Suppose there is a 1.4 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 52.8, what will be the temperature when the plane reaches an altitude of 11,000?

Answers

Answer:

37.4

Step-by-step explanation:

1.4 times 11 and subtract that from 52.8

an amount ogf $3700 id deposited into an account that pays 8.25% confounded semi-annually. how much money eill you receive in 15 years

Answers

Answer: The answer is seventeen

Step-by-step explanation:

i just answered this question

Find all perfect squares between 100 and 300.

Answers

Answer: The answer in the first image.

Explanation: The explanation is in the second image.

Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?

Answers

Answer:

$0.44

Step-by-step explanation:

lmk if you want an explanation

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