Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation.

Answers

Answer 1

Answer:

[tex]x[/tex] intercept is at (6, 0).

[tex]y[/tex] intercept is at (0, 2).

Step-by-step explanation:

Given the equation of graph:

[tex]3x+9y=18[/tex]

To find:

[tex]x[/tex] and [tex]y[/tex] intercepts of the graph and then plotting the graph.

Solution:

[tex]x[/tex] intercept is the point on graph where the value of [tex]y[/tex] coordinate is zero.

[tex]y[/tex] intercept is the point on graph where the value of [tex]x[/tex] coordinate is zero.

Putting [tex]y=0[/tex] :

[tex]3x=18\\\Rightarrow x = 6[/tex]

So, [tex]x[/tex] intercept is at (6, 0).

Putting [tex]x=0[/tex] :

[tex]9y=18\\\Rightarrow y = 2[/tex]

So, [tex]y[/tex] intercept is at (0, 2).

Plotting the points of [tex]x[/tex] and [tex]y[/tex] intercepts on the graph and joining them to form the graph of given equation.

Determine The X- And Y-intercepts Of The Graph Of 3x+9y=18. Then Plot The Intercepts To Graph The Equation.

Related Questions

A boutique owner sells a salt scrub that is made of a tropical oil blend costing $7.95 per ounce and sea salt costing $1.45 per ounce. The salt scrub ultimately costs $3.40 per ounce. In order to make a new batch of the salt scrub, she just ordered 6 ounces of the tropical oil blend. How many ounces of sea salt will she need to make the salt scrub with the correct proportions?

Answers

Answer:

14

Step-by-step explanation:

7.95\cdot 6+1.45\cdot \:x=\left(6+x\right)3.4

x=14

i'm thinking a number through a number between 1-10 winner gets brainlest

Answers

Answer:

6

Step-by-step explanation:

five would be to obvious

Evaluate 5+ (42 +2) =6.
5+ (4? + 2) : 6 =D

Answers

Answer is 8 because you do the parenthesis first 4•4+2 = 18 , then PEMDAS .. you do division so therefore 18/6= 3 , lastly you do 5+3= 8 .

Answer:

8

Step-by-step explanation:

1) 5(16+2)/6

80+10/6

80+1.6

=8

2) 5(16+2)

80+10/6

90/6

=8

what is 8 divided by 2(2+2)=16

Answers

Answer:

answer is sixteen (16)

Use PEMDAS, aka parenthesis, exponents, multiplication/division, addition/subtraction from left to right in order.

Start with the parenthesis and do the addition within the parenthesis.

8/2(2+2) —> 8/2(4)

Since you can do either multiplication or division before the other, read the equation from left to right and do it in that order.

8/2=4(4)=16

Find the distance and midpoint between P(-6, 3) and Q(4, 9)

Answers

Answer:

use distance formula

Step-by-step explanation:

think it proves helpful for you

In a quadratic function, the greatest exponent is ________?

Answers

Answer:

2

Step-by-step explanation:

form of functions

f(x) = ax2 + bx + c

which means ² is the greatest exponent of a quadratic function

Select the correct answer.
Triangle XYZ has an altitude of h. Jayden proves the area of AXYZ using trigonometry. His work is shown.
Z
h
b
a
х
у
The area of AXYZ is žyh
by the definition of the area of a triangle. Using the sine ratio, sin(x) = . Also, asin(x) = h is true by the
multiplication property of equality. So, by the substitution property of equality, the area of AXYZ is 2xysin(x).
Where did Jayden make his first error in the proof?

Answers

The first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.

What is the Sine Ratio?

Whn solving a right triangle, the sine ratio can be used which is expressed as, sin ∅ = opposite side/hypotenuse, given that ∅ is the refrence angle.

In the proof of Jayden, the area of the triangle is correct, which is 1/2(base × height).

However, the sine ratio is wrong.

Therefore, the first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.

Learn more about the sine ratio on:

https://brainly.com/question/2920412

Answer:

Step-by-step explanation:

The first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.

What is the Sine Ratio?

Whn solving a right triangle, the sine ratio can be used which is expressed as, sin ∅ = opposite side/hypotenuse, given that ∅ is the refrence angle.

In the proof of Jayden, the area of the triangle is correct, which is 1/2(base × height).

However, the sine ratio is wrong.

Therefore, the first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.

Learn more about the sine ratio on:

brainly.com/question/2920412

The bill is $24 plus 6% sales tax. What is the total amount to be paid?

Answers

Answer:

25

Step-by-step explanation:

Note that common skills are listed toward the top, and less common skills are listed toward the bottom.

According to O*NET, what are common skills needed by Veterinarians? Check all that apply.

critical thinking

judgment and decision making

speaking

equipment maintenance

active listening

installation

science

repairing

Answers

Answer:

active listening and judgement and decision making

Answer:

1, 2, 3, 5, 7

or critical thinking, judgement and decision making, speaking, active listening, science

Step-by-step explanation:

Consider this power. (–4) –3 1. Apply the negative exponents rule: 1 (−4)3 2. Expand the exponent: 1 (−4)(−4)(−4) 3.Simplify: What is the value of (–4)–3? Negative StartFraction 1 Over 64 EndFraction Negative StartFraction 1 Over 12 EndFraction StartFraction 1 Over 64 EndFraction StartFraction 1 Over 12 EndFraction

Answers

Given:

The given expression is

[tex](-4)^{-3}[/tex]

To find:

The value of given expression.

Solution:

We have,

[tex](-4)^{-3}[/tex]

Applying the negative exponents rule, we get

[tex](-4)^{-3}=\dfrac{1}{(-4)^3}[/tex]     [tex][\because a^{-n}=\dfrac{1}{a^n}][/tex]

Expanding the exponent, we get

[tex](-4)^{-3}=\dfrac{1}{(-4)(-4)(-4)}[/tex]  

[tex](-4)^{-3}=\dfrac{1}{-64}[/tex]  

[tex](-4)^{-3}=-\dfrac{1}{64}[/tex]  

The value of given expression is [tex]-\dfrac{1}{64}[/tex].

Therefore, the correct option is A.  

Answer:

a

Step-by-step explanation:

-1/64

I NEED HELP WITH THIS ASAP. I WILL GIVE BRAINLIEST 1+1

Answers

Answer:

You kidding right!

Anyways your answee is 1+1=2

Answer:

2

Add 1 and 1, and that is 2, I don't know why, but it is.

Simple I know, and I get that this is a joke, but please don't post jokes too often, thanks very much.

Hope this helps?

What is the slope of a line that passes through the points (4, 2) and (7,6.5)?

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1.5 or 3/2

Step-by-step explanation:

y-y over x-x and you get you answer.

what are the x and y intercepts for the line
4x + 5y = 20

Answers

(5,0) is the x-intercept because when you plug 0 in for y, x=5.

(0,4) is the y-intercept because when you plug in 0 for x, y=4.

which of the following equation is true?

Answers

b. cos38 = 17/c

cos: adjacent/hypotenuse

Solve For H ---I> A=1/2(B₁+B₂)h

Answers

Answer:

h = 2A/(B₁+B₂)

Step-by-step explanation:

Given equation

A=1/2(B₁+B₂)h

Solving for h

A=1/2(B₁+B₂)h2A = (B₁+B₂)h2A/(B₁+B₂)= hh = 2A/(B₁+B₂)

HELP QUICK!!
The cost of admission to an amusement park is $175 for a season pass or $35 per visit.

14. write an equation to model each situation

15. graph each equation

16. what is the break even point?​

Answers

Answer:

hey so i did your questions on a sheet of paper, hope you can understand it, let me know if you cant

also, good luck with school and stay safe!! :)

Someone drank 3/4 of a 16 fluid ounce bottle of juice how much is left?

Answers

Answer:

12

Step-by-step explanation:

16 x3/4 is 48/4 or 48 divided by 4, or 12.

4 oz
............,.,,....

Write an equation in slope-intercept form for the line that passes through (3, 7) and is parallel to the line with equation y=3/4x-5

Answers

Answer:

[tex]y=\frac{3x}{4} +\frac{19}{4}[/tex]

Step-by-step explanation:

Plug-in given to the point-slope form:

m = 3/4

(the slope is the same for the other line as the two are parallel to each other)

(3 , 7)

[tex]y - 7 = \frac{3}{4} (x - 3)\\ y-7 = \frac{3}{4} x - \frac{9}{4} \\4( y-7) =( \frac{3}{4} x - \frac{9}{4})4\\ 4y - 28 = 3x - 9\\ 4y - 28 +28 = 3x - 9 + 28\\4y = 3x + 19\\\frac{4y}{4} =\frac{3x+19}{4} \\y=\frac{3}{4}x +\frac{19}{4}[/tex]

Chris and Kate’s dinner bill, including a 20% tip, is $95.40. What was the amount of the bill before the tip?

Enter your answer in the box.

Answers

Answer:

$79.5

Step-by-step explanation:

95.40= 120%

1%= 95.40/120

1%=0.795

100%=79.5

Find m1 and m2. Justify each answer

Answers

Answer:

Number 1 will be 95

Number 2 will be 130

Am I right

im givin away myy last of points here is my question anyone can answer dis even people who just want points: Charise is buying 6 packets of seeds to plant in her garden. Each packet of seeds is $2.19. Estimate her total cost by rounding. Is the estimate an underestimate or an overestimate?

$12; underestimate
$18; underestimate
$12; overestimate
$18; overestimate

Answers

Answer:

It would be $12 overestimate

Step-by-step explanation:

$2.19 rounded to one significant figure would be $2.00

$2.00 multiplied by 6 would be $12

However since 19 cents is over $2, this means it's a definite overestimate

Hope this helps! :)

An experiment involves rolling a standard die. The experiment was performed 100 times, and the results are shown in the following frequency table. Result Frequency 1 14 2 19 3 16 4 16 5 17 6 18 What is the experimental probability of rolling a 1?

Answers

Step-by-step explanation:

first a quick check that we really deal with 100 events (experiment results).

14+19+16+16+17+18 = 100

perfect.

so, based on this particular die its own probabilty distribution of the 6 different possible outcomes shows that there might be some imbalances inside the die, or its outside dimensions are not exactly the same, or simply the process of rolling the die is not neutral (not fully random).

in any case, it seems there are some deviations from the normal expected behavior of 1/6 per number.

so, the observed experimental probabilty of rolling a 1 is

(as always, desired cases / total cases)

14/100 = 7/50 = 0.14

which is a little bit less then 1/7.

1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor
(e.g., 100 = 102= 10 x 10).
a. 1,000
b. 100 x 100
2. Write the following in standard form (e.g., 4 x 102 = 400).
a. 3 x 102=
C.
800 - 103 =
I
b. 2.16 x 104 =
d. 754.2 - 102 =

Answers

Answer:

1. a. 1,000 = 10³ = 10 × 10 × 10

b. 100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

2. a. 3 × 10² = 300

b. 2.16 × 10⁴ = 21,600

c. 800 ÷ 10³ = 0.8

d. 754.2 ÷ 10² = 7.542

Step-by-step explanation:

3. a. 1,000

There are 3 zeros in 1000. This is equivalent to 10 raised to the power of 3. Writing this in multiplication sentence using 19 as the only factor, we would have:

1,000 = 10³ = 10 × 10 × 10

b. 100 × 100

Using the same logic as explained in (a) above, we would have:

100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

2. a. 3 × 10²

Convert 10² to 100 and multiply both numbers

3 × 10² = 3 × 10 × 10 = 3 × 100 = 300

b. 2.16 × 10⁴

2.16 × 10 × 10 × 10 × 10 = 2.16 × 10,000

Multiplying both numbers, since we have 4 zeros, move the decimal point 4 places to the right.

2.16 × 10,000 = 21,600

c. 800 ÷ 10³ = 800 ÷ 10 × 10 × 10

800 ÷ 1,000

There are 3 zeros in 1000, since we are dividing, move the decimal point 3 places to the left.

800 ÷ 1,000 = 0.8

d. 754.2 ÷ 10² = 754.2 ÷ 10 × 10

754.2 ÷ 100

Move the decimal point 2 places to the left.

754.2 ÷ 100 = 7.542

How are the areas of the smaller squares related to the area of the biggest square? Do you notice something?



If a = the side of one small square and b = the side of the other small square and c = the side of the biggest square, then how could you write an equation using a, b, and c with exponents?

This is the Pythagorean Theorem for all Right Triangles. ____________________

Answers

Answer:

The sum of area of two smaller squares is equal to the area of bigger square

An equation using a, b, and c with exponents is [tex]c^2=a^2+b^2[/tex]

Step-by-step explanation:

Let a be the side of the smallest square , b be the side of other smaller square and c be the side of biggest square

Area of square with side a = [tex]Side^2 = a^2[/tex]

Area of square with side b = [tex]Side^2 = b^2[/tex]

Area of square with side c =[tex]Side^2 = c^2[/tex]

Refer the attached figure

In triangle ABC

[tex]\angle A = 90^{\circ}[/tex]

So, We can use Pythagoras theorem over here

AB = a = Base

AC = b = Perpendicular

BC = c = Hypotenuse

[tex]Hypotenuse^2=Perpendicular^2+Base^2\\c^2=a^2+b^2[/tex]

So, The sum of area of two smaller squares is equal to the area of bigger square

An equation using a, b, and c with exponents is [tex]c^2=a^2+b^2[/tex]

extra lett shsbss s gs gs sg ss gss s a as sa an s sababsg sbs sg sbasba ssb assbs sb sbbshs s sjbjsabs poits
1+1

Answers

2? I’m pretty sure because If you have one Apple and another Apple do you have two apples

Answer:

1+1=2

Step-by-step explanation:

easy lol

There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars

could be in the parking lot if there are 35 cars?

Answers

Answer:

There could be a total of 63 vehicles, 35 cars and 28 trucks

Answer:

28 trucks

35 cars

63 total cars and trucks

Step-by-step explanation:

trucks : cars

4 : 5

Use a proportion.

x/4 = 35/5

x/4 = 7

x = 28

28 trucks

35 cars

63 total cars and trucks

Find the Length of KNJ
1.) 16.9
2.)67.5

Answers

Step-by-step explanation:

The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.

This means the central angle of this sector KNJ is 360-48=312.

Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.

A designer is adding a pendant to a jewelry collection. The shape of the pendent can be defined by the equation y = StartFraction 1 Over 20 EndFraction x squared EndFraction. If the largest dimension of the pendant is 10 cm wide, what is the greatest length? 1. 25 cm 2. 50 cm 5 cm 10 cm.

Answers

The greatest length of the considered pendent is given by: Option A: 1.25 cm

What does graph of a function represents?

Suppose the considered function is [tex]y = f(x)[/tex]

Then, we will plot points as [tex](x,y) =(x,f (x))[/tex] for all values of 'x' which are in domain of the function.

For this case, the given function's graph (the graph of [tex]y = \dfrac{x^2}{20}[/tex] ) is shown below.

We're given that the largest dimension is of 10 units.

Let this be the line segment parallel to the x-axis, intersecting y-axis at [tex]y = y_0[/tex]

Now, since the curve is symmetric over (as for x or -x, we get same y), so the line segment that is parallel to x axis also intersects the graph at symmetric places. Let those points be in front of [tex]x_0[/tex] and [tex]-x_0[/tex]

For those inputs, the output is [tex]y = y_0[/tex],

Also, we have length of the line segment as of 10 units, this is the difference between those symmetric inputs.

Thus, we get two equations:

[tex]x_0 - (-x_0) = 10[/tex]

[tex]f(x_0) = y_0 = \dfrac{x_0^2}{20}[/tex]

From first one, we get:

[tex]x_0 = 10/2= 5[/tex]

Thus, we get:

[tex]f(x_0) = y_0 = \dfrac{x_0^2}{20}\\\\f(5) = y_0=\dfrac{25}{20} = 1.25[/tex]
Since the length of y_0 is the shortest distance from x-axis to that parallel line segment, this is the second dimension needed.

Thus, the greatest length of the considered pendent is given by: Option A: 1.25 cm

Learn more about functions here:

https://brainly.com/question/10166124

The population of fish in an aquarium can be modeled after exponential growth. If there were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there be after 14 weeks?​

Answers

Answer:

The population in 14 weeks is 232 fishes

Step-by-step explanation:

The equation for exponential growth is f(x) = a·(1 + r)ˣ

Where;

a = The starting population size = 3

r = The rate at which the population of grows

x = The number of periods to of change of the population

Therefore, we have;

f(6) = 31 = 3 × (1 + r)⁶

31/3 = (1 + r)⁶

㏑(31/3) = 6㏑(1 + r)

(㏑(31/3))/6 =㏑(1 + r)

1 + r = e^((㏑(31/3))/6) ≈ 1.476

1 + r ≈ 1.476

Therefore, the population in 14 weeks is given as follows;

f(14) = 3 × (1.467)¹⁴ ≈ 232.574

Given that we the information is with regard of living things, such that there are no fractions, we round down to the nearest whole number as follows;

f(14) ≈ 232

The population in 14 weeks = 232 fishes.

A triangle has an angle that measures 95°. The other two angles are in a ratio of 6:11. What are the measures of those two angles?

Answers

Answer:

Step-by-step explanation:

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