Find rhe x- and y- intercerpts of the following relationships.(There may be more then one)
[tex]3x^{2} + 2y^2 = 24[/tex]

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given

3x² + 2y² = 24

To find the x- intercepts , let y = 0 in the equation and solve for x

3x² + 2(0)² = 24, that is

3x² = 24 ( divide both sides by 3 )

x² = 8 ( take the square root of both sides )

x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ← x- intercepts

To find the y- intercepts. let x = 0 in the equation and solve for y

3(0)² + 2y² = 24 , that is

2y² = 24 ( divide both sides by 2 )

y² = 12 ( take the square root of both sides )

y = ± [tex]\sqrt{12}[/tex] = ± 2[tex]\sqrt{3}[/tex] ← y- intercepts


Related Questions

can someone please help me im struggling on this one

Answers

Answer:

Equation: 32° + 30° + x° = 180°Solved: x = 118°

Step-by-step explanation:

3 angles = 180°32° + 30° + x° = 180°62° + x = 180°Subtract 62 from each side, so it now looks like this: x = 118°So, x is 118°

I hope this helps!

y^3-8y^2+19y=12
Solve​

Answers

Answer:

Step-by-step explanation:

steps are below

step 1

y^3-8y^2+19y=12  equation

step 2

y^3-8y2+19y(-12)=12(-12)  minus 12 from both sides

y^3-8y^2+19y-12=0

step 3

(y-1)(y-3)(y-4)=0  add brackets

step 4

(y-1)(y-3)(y-4)=0  factor

step 5

y-1=0 or y−3=0 or y-4=0  set them equal

Answer:

y=1 or y=3 or y=4

There are 91 days until the craft sale. Autumn needs to make 817 rings before the sale. She wants to make about the same number of rings each day. About how many rings should she make each day? Explain how Autumn can use compatible numbers to estimate

Answers

Answer:

9 rings

Step-by-step explanation:

Given that :

Number of days until craft sale = 91 days

Number of rings required to make before sale = 817 rings

If same number of rings is made per day;

Number of Daily ring production will be ;

817 / 91

= 8.978 rings

= 9 rings (approximately)

solve for the number
18 is 9% of what number?​

Answers

The answer is 50 hope this helps you!

Answer: 200

Work: I just did 18 x 100 divided by 9, and you get the number. 18 x 100 = 1800, and I divided it by 9, and I got 200. I checked it by doing 200 x .09 (Percentage) and I had gotten 18. (Check) I hope this helps, and happy Holidays! :)

You decide to make lasagna for dinner. The baking dish in the shape of a rectangular prism measures 13 inches by 9 inches by 2 inches. What is the volume of the container?

Answers

Volume = 13in * 9in * 2in = 234in³.

Answer:

234 inches³

Step-by-step explanation:

Formula for volume of a prism = [tex]L \times W \times H[/tex] (L = length, W = width, H = height)

[tex]\therefore[/tex] volume for baking dish = 13 × 9 × 2

                                          = 234 inches³

Hope this helps :)

In 1 hour the employee dropped 635 chocolates. If this represents 25% of the days chocolate molds, how many chocolates were planned to be
produced

Answers

Answer:

2540

Step-by-step explanation:

25% is a quarter of 100% so if 635 is 25% you multiple 635 x 4 to get your final answer concluding in 2540. if i'm wrong let someone else correct me :b

Solve the system by elimination. {2x+y=13x−y=−4 A. (3, 7) B. (2, 6) C. (4, 8) D. no solution

Answers

Answer:

A

Step-by-step explanation:

Given the 2 equations

2x + y = 13 → (1)

x - y = - 4 → (2)

Add the 2 equations term by term to eliminate the y- term, that is

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

2(3) + y = 13

6 + y = 13 ( subtract 6 from both sides )

y = 7

solution is (3, 7 ) → A

Answer:

Step-by-step explanation:

2x+y=13

x - y =-4 lets add both equations

3x=13-4

x=9/3    ,   x=3

3-y=-4,   y=7

choice A

Hey guys help me with this question plzzzzzz​

Answers

Answer:

625 cm³ and 64000 cm³

Step-by-step explanation:

Given

x = [tex]\sqrt[3]{V}[/tex] ( cube both sides )

x³ = V

(a)

x = 25 cm , then

V = 25³ = 625 cm³

(b)

x = 40 cm , then

V = 40³ = 64 000 cm³

A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for
the service to clean a certain number of square feet within a home.
Square Feet and Cleaning Time
80
Nurnber of Square
50
100
150
Feet, x
Time in Minutes,
32
40
60
Based on the table, how many minutes would it take for the service to clean 200 square feet?
O 20 minutes
O 80 minutes
O 125 minutes
O 400 minutes

Answers

80 minutes. Because if it takes 40 minutes to clean 100 square feet if you multiply that by 2 you get 80 minutes.

Hope this helps!

90% of the workers are men. If 590 people work for the company who aren't men, how many workers are there in all?

Answers

Step-by-step explanation:

do 590 divided by 90 if that doesn't work multiply it

Yorkeuri has a cake that weighs 80 ounces. How many pounds does the cake weigh? *

Answers

Answer: 5 pounds

Step-by-step explanation:

80 / 16 = 5

Answer:

5 pounds

Step-by-step explanation:

Hope this helps!

whats the answer giving brainliest MATH

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

D i believe

Step-by-step explanation:

hope this helped!!!

-BB

Write an equation for the proportional relationship shown in the table.
x 0.5
1
1.5
2
y
19
38
76
57
y= x

Answers

9514 1404 393

Answer:

  y = 38x

Step-by-step explanation:

The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...

  y = kx

  y = 38x

What would be the domain and range

Answers

Answer:

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

what is 1.75 divided by 7

Answers

Answer:

0.25

Step-by-step explanation:

1.75/7 would equaln0.25, use your calculator if you have one

The decimal 1.75 when divided by the number 7 gives the decimal 0.25.

In mathematics, a decimal is a base-10 numeral system applied to characterize real numbers. It's known as "decimal" because it uses ten dissimilar symbols, videlicet the digits 0 through 9, to portray all achievable values. The decimal system is the most generally used numeral system in day-to-day life.

The decimal system works on a positional memorandum principle, where each digit's position determines its value within the number.

The decimal 1.75 can be written as a fraction as follows:

[tex]1.75 = \dfrac{175}{100}[/tex]

      [tex]= \dfrac{7}{4}[/tex]

To divide 1.75 by 7, let's divide [tex]\dfrac{7}{4}[/tex] by 7.

[tex]\dfrac{7}{4} \div 7\\= \dfrac{7}{4} \times \dfrac{1}{7}\\= \dfrac{1}{4} \times 1\\= \dfrac{1}{4}\\= 0.25[/tex]

Thus, 0.25 is 1.75 divided by 7.

Learn more about Decimal here:

https://brainly.com/question/33109985

#SPJ6

0.5 is equivalent to what rational number?

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

It’s equivalent to 1/2

Determine if this is a valid statistical question: What proportion of New Jersey residents would choose vanilla as their favorite ice cream flavor? *

Answers

it is not a valid statistical question

Help needed ASAP plzs .....

Answers

X is 1 y is 8 hope this helped

A coat is on sale for $76 tax is 8% what is the amount of tax

Answers

Answer:

$6.08

Step-by-step explanation:

8% = 0.08

76 × 0.08

= $ 6.08

HELPPP PLS
What is the vertex form of the equation?
y = x² – 2x+8

Answers

(1,7) would be your correct answer

The lines graphed below show the amounts of water in two tanks as they were being filled over time.For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer.
3 points

Answers

Answer: Tank B is proportional because tank A doesn't work because it doesn't go through (0,0) but if it was y=kx, then it would have to go through (0,0), since 0=k*0. For tank b k is 300.

I got 100 for this so gl

The relationship between time and the volume of water in Tank B is proportional.

What is a line graph?

A line graph is a type of graph where the data points are connected by segments of straight lines.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a line graph shown in the picture.

As we know,

Variables in a linear function will be proportionate if it passes through the origin.

y = mx + b

b is y-intercept = 0

y = mx

The relationship between time and the volume of water in Tank B is proportionate since the straight line passes through the origin.

Thus, the relationship between time and the volume of water in Tank B is proportional.

Learn more about the line graph here:

brainly.com/question/23680294

#SPJ2

Given f(x)=2x²+2x-4, which is correct?
A) f(0)=0
B) f(-1)=4
C) f(b+1)=2b²+6b-4
D) f(a)=2a²+2a-4​

Answers

Answer:

Option D: f(a) = 2a²+2a-4 is the correct answer.

Step-by-step explanation:

Given that:

f(x)=2x²+2x-4

We will check the function at the given value;

A. f(0)

Putting x=0 in given function

f(0) = 2(0)²+2(0) - 4

f(0) = 0+0-4

f(0) = -4

B. f(-1)

Putting x=-1

f(-1) = 2(-1)²+2(-1)-4

f(-1) = 2(1) -2-4

f(-1) = 2-6

f(-1) = -4

C. f(b+1) = 2b²+6b-4

Putting x=b+1

f(b+1) = 2(b+1)²+2(b+1)-4

f(b+1) = 2(b²+2b+1)+2b+2-4

f(b+1) = 2b²+4b+2+2b+2-4

f(b+1) = 2b²+6b

D. f(a) = 2a²+2a-4

Putting x=a

f(a) = 2(a)²+2(a)-4

f(a) = 2a²+2a-4

Hence,

Option D: f(a) = 2a²+2a-4 is the correct answer.

A person standing close to the edge on top of a 32-foot building throws a ball vertically upward. The quadratic function h(t)=−16t^2+124t+32 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown. a) What is the maximum height of the ball? __feet b) How many seconds does it take until the ball hits the ground? ____ seconds

Answers

Answer:

a) The maximum height of the ball is 272.25 feet

b) The balls take 8 seconds to hit the ground.

Step-by-step explanation:

a) You know that the quadratic function h(t)=−16*t²+124*t+32 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown.

Being a quadratic function of the form:

f (x) = a*x² + b*x + c

The vertex of a quadratic or parabola equation is the highest or lowest point on the graph corresponding to that function. When a> 0, the vertex of the parabola is at the bottom of it and indicates the minimum of the function. When a <0 the vertex is at the top and indicates the maximum of the function.

The value of x at the vertex is calculated by the expression:

[tex]x=\frac{-b}{2*a}[/tex]

The value of y at the vertex is calculated by substituting the value of x at the vertex into the quadratic function.

In this case, being a=-16, b=124 and c=32  you get that the maximum time is:

[tex]x=\frac{-124}{2*(-16)}=3.875[/tex]

Then a maximum height of:

h(3.875)=−16*(3.875)²+124*3.875+32

h(3.875)= 272.25

The maximum height of the ball is 272.25 feet

b) When the ball hits the ground the height is zero. So h (t) = 0:

0=−16*t²+124*t+32

Applying the resolvent:

[tex]\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a} =\frac{-124+-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)}[/tex]

you get:

[tex]\frac{-124+\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =-0.25[/tex]

[tex]\frac{-124-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =8[/tex]

Since the time cannot be negative, the balls take 8 seconds to hit the ground.

What is the value of cos(4pi/3)

Answer: B.-1/2 on edg

Answers

Answer:

Answer: B.-1/2

Step-by-step explanation:

Hope it helps
Here is the answer
-1/2

1) If you are driving 75 MPH and you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds? explain you're answer, pls !​

Answers

Answer:

0.125 feet

75/60 to get minutes

0.02/60 to get seconds

multiply by 6

Step-by-step explanation:

660 feet. 75 mph /60 to get minutes which equals 1.25. They travel 1.25 miles every minute. To fond second you would do 1.25/60 since there are 60 seconds in a minute. You get 0.020... that’s how much of a mile they travel per second. Multiply by 6 to figure out how much of a mile within 6 seconds which is 0.125 miles (not feet). Then you convert this to feet. There are 5280 feet in a mile so you multiply that by the amount of miles which is 0.125 which equals 660 feet. They traveled 660 feet within those 6 seconds of sneezing and looking away from the road. Answer above almost got it but forgot to convert to feet.

Tax is paid on meals in a restaurant.
The price of a meal is $65.35 this includes the tax of $11.45.
What is the percentage tax?

Answers

Answer:

17.52%

Step-by-step explanation:

65.35/11.45 = 0.1752

.1752 * 100

= 17.52

The number of gifts Nikki can wrap varies directly with the the amount of time she spends wrapping them. She can wrap 14 gifts in 2 hours. How many gifts can she wrap in 6 hours?

Answers

Answer:

42 gifts.

Step-by-step explanation:

14/2=7

7*6=42

i need help i dont understand​

Answers

Answer:

D. 1/3^3

Step-by-step explanation:

Divide 3/3 as usual and get 1.

When dividing exponents, you are actually subtracting them. 5-8 = -3.

D is the answer because positive exponents in the denominator of the fraction is the same as a negative exponent in the numerator.

The rule with exponents is that when dividing similar bases with different exponents (or power), you subtract the exponents respectively.

3⁵ / 3⁸ = 3⁽⁵ ⁻ ⁸⁾ = 3⁻ ³ = 1 / 3³

So the answer is

D) 1/3³

jasmine deals 2 cards. whats the probability of dealing 2 hearts in a row if she didn't replace the card after it was dealt?

WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Assuming the deck is shuffled well and the dealings are random, the answer is the probability she deals a heart on the first dealing * the probability she deals a heart on the second dealing given she dealt a heart on the first dealing. Since we are sampling without replacement we need to include this given part. The answer is in the image :) apologies for bad handwriting but answer is .0588 or a 5.88% chance

I PROMISE I WILL MARK AS BRAINLIEST please i want an answer
in the unit circle whose center is (o)if the length of the arc BC =1/3π , then sec (∠BOC) =

Answers

Answer:

Answer is = 1

Step-by-step explanation:

Hope it's answered you

Answer:

nice

Step-by-step explanation:

Other Questions
The sum of two numbers is 69. One number is 13 less than the other. Find the numbers. A culture started with 6,000 bacteria. After hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number Select the correct answer.ASAPEnvironmental biotechnologists use bacteria to decompose sulfur liquor, a waste product of the paper industry. Which useful by-product do the bacteria produce?A. protropinB. ethaneC. insulinD. methaneE. Carbon dioxide Eber ran 3 miles. He stopped to take a break every {3}{4) mile.How many times did Eber stop, including his final stop at the end of the run? Determine the hardness of each unknown mineral from the data given.Deep scratch by fluorite.A)greater than 4B)4C)must be 1, 2, or 3 The temperature of a 700. g bar of iron decreases by 30oC when the iron is plunged into 500. g of water. What is the temperature increase of the water, assuming that no heat is lost in the transfer? The Jordan Company is considering purchasing a new machine which will have fixed costs of $100,000 per year. The operating cash flow at a production level of 10,000 units is $400,000. If units sold increase from 10,000 to 15,000 units, what will the operating cash flow be at the 15,000 unit level EWhich two rivers flow through the Delta?O Mississippi and YazooO Pearl and MississippiO Tombigbee and PearlO Yazoo and Tombigbee for geometry:(will give brainist to the correct answer!!! Solve the linear system using a table.7a -b=-1-4a - 2b = -2A. (0,0)B. (0,1)C. (1,0)D. (1,1) Need help with these following questions PLEASE HELP ME 1) If a bus travelling at 20 m/s is subject to a steady deceleration of 5 m/s2, how long will ittake to come to rest? January 19 national popcorn day. A bag of popcorn has the average of 450 kennels if 4%% of the kernels dont pop how manu pieces of popcorn will the bag make A time of "Roman Peace" that allowed many technological developments in the Roman Empire.A. PolytheisticB. republicC. SenatorsD. Pax Romana Read the sentence and choose the option with the correct number which matches the sentence. El silln cuesta novecientos dlares. A. 900 B. 9.000 C. 500 D. 5.000 Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns 3 more per hour than Gabe. How much money will he earn after the following hours: 4, 8 ,12 and 16 PLZ HELP I DON'T UNDERSTAND!! a boy is playing catch with his friend. He throws the ball straight up. When it leaves his hand, the ball (2kg) is traveling 10m/s. Whats the ball's kinetic energy just as it leaves the boy's hand? What is the potential energy of the ball when it reaches the highest point? Find Mack's debt-to-income ratio if his monthly expenses are $2850 and his monthly salary is $4000Pls help mee Will give brain if u show a little bit of work !!!! Question 2 (1 point)The diagrams below represent your leg. The top of the diagram represents the hip. The bottom of thediagram represents the foot. Which diagram shows the muscle that straightens out your knee?(A)(B)(C)(D)bbCOcOdd PLS HELP ME 30 POINTSWhich angles are coterminal with 78?Select EACH correct answer.9/825/823/89/8