Find the x- and y-intercepts of the parabola y=−3x^2−5x+6

Answers

Answer 1

The x-intercepts are x = 2/3 and x = 3.

The y-intercept is (0, 6).

What is a parabola?

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

we have,

To find the x-intercepts, we set y to zero and solve for x:

0 = −3x^2 − 5x + 6

We can factor this quadratic equation:

0 = (−3x + 2)(x − 3)

x - 3 = 0

x = 3

And,

-3x + 2 = 0

-3x = -2

x = 2/3

So the x-intercepts are x = 2/3 and x = 3.

To find the y-intercept, we set x to zero and evaluate y:

y = −3(0)² − 5(0) + 6

y = 6

So the y-intercept is (0, 6).

Thus,

The x-intercepts are x = 2/3 and x = 3.

The y-intercept is (0, 6).

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Related Questions

A recipe calls for the following spices: 18 teaspoon of turmeric, 18 teaspoon of ginger, and 14 teaspoon of cumin. What is the total quantity of these three spices?

Answers

Answer:

50 total

Step-by-step explanation:

when it's asking for a total you add the numbers together, and whatever number you get is your answer :)

sorry if it's wronggg :( !!

Total number of teaspoons quantity use is 50 teaspoons

Given information:

Number of teaspoons of turmeric = 18

Number of teaspoons of ginger = 18

Number of teaspoons of cumin = 14

Find:

Total number of teaspoons quantity use

Computation:

In the given question , we have to add all quantity

Total number of teaspoons quantity use = 18 + 18 + 14

Total number of teaspoons quantity use = 36 + 14

Total number of teaspoons quantity use = 50 teaspoons

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Which of the following does not state a principle related to why ground wires are an effective safety device? O A. Electronic devices are protected from power surges by having insulated wires. B. Electricity will travel more easily through metal than through insulators. C. When enough electricity builds up, it could pass through highly resistant materials to get to the Earth. D. Electricity always wants to travel "downhill" toward the Earth.​

Answers

A; electronic devices are protected from power surges by having insulated wires.

The option that does not state a principle related to why ground wires are an effective safety device is:

A. Electronic devices are protected from power surges by having insulated wires.

Insulated wires protect electronic equipment against power surges, however, this has nothing to do with the usefulness of ground wires as a safety precaution.

The idea of earth wires is to provide a safe conduit for electrical currents to go into the Earth, avoiding harmful electrical potential from building up.

Thus, options B, C, and D all state principles that are directly related to the effectveness of ground wires as a safety device.

Hence, the correct answer is A.

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What is the circumstance of the circle

Answers

Answer: Circumference = 25.12

Explanation:

Circumference = pi x d

C = 3.14 x 8
C = 25.12

Answer:

c=pie r squared is the equations and the answer is 50.27

Step-by-step explanation:

A Six packs of undershirt cost $13.98. This is $3.96 less the cost of buying six individual shirts if each undershirt cost the same amount how much does each undershirt cost when purchased individually?

Answers

$2.99 per shirt. Hopefully that’s correct!

help with this homework question pleaseeee

Answers

Answer:

b

Step-by-step explanation:

then it would be sss

Which situation describes a real-life rate?
Your uncle buys 2 gallons of milk and uses
of the milk to bake a cake.
O The computer has been on for 1.5 hours.
O A basketball player runs 10 feet down the court in 2 seconds.
O You run 2 miles on Monday, 3 miles on Tuesday, and 2 miles on Thursday.

Answers

I believe the answer is D

Answer:

The computer has been on for 1.5 hours

2. Solve the problems below:
a) 4 - 5=
b) 4-(-5) =
c) -4-(-5) =
3. Write the variable expression that represents the word phra

Answers

Question number 2:
A) -1
B) 9
C) 1

I don’t know the entire problem for question #3

Answer:

-1, 9, 1 i hope this is helpful

Defects in computer hard-drives will usually render the entire computer worthless. For a particular model, the percent defective in the past has been 1%. If a sample size of 400 is taken, what would the 95.5% lower control chart limit be?

Answers

Answer:

0.00005

Step-by-step explanation:

We have the average fraction defective as p = 1%

= 0.01

N = 100

Then 95.5% deviation = 2σ

From there we have,

σ = √p*(1-p)/n

When we input these values, into the formula, we will have

σ = √0.01(1-0.01)/100

= √0.01(0.99)/100

= √0.000099

= 0.00995

The LCL = p - 2σ

= 0.01 - 0.00995

= 0.00005

lower control chart limit be is 0.00005

The 95.5% lower control chart limit be is 0.0005.

Given,

The average fraction percent in the past defective as p = 1%  = 0.01

Sample size N = 400

Then ,

According to the question ,

95.5% deviation = 2x

We have,

x = [tex]\frac{\sqrt{p (1-p)} }{n}[/tex]

We put these values, into the formula,

x = [tex]\frac{\sqrt{0.01 ( 1 - 0.01) } }{400}[/tex]

= [tex]= \frac{\sqrt{(0.01) (0.99)} }{400}[/tex]

= [tex]\frac{0.99}{400}[/tex]

= 0.0000245

The LCL = p - 2x

= 0.01 - 0.0000245

= 0.00005

The Lower control chart limit be is 0.00005

For the more information about Standard deviation click the link given below.

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Can someone help me work this problem out?

Answers

Answer:

Yes

Step-by-step explanation:

According to the Triangle Inequality Theorem, if every combination of 2 sides is equal to the third remaining side, then it is a triangle.

3 + 7 > 8

8 + 3 > 7

8 + 7 > 3

Since all of these are true, that means overall, these 3 sides make a triangle.

Hope this helps!

I need help immediately ​

Answers

Answer:

I am not sure

Step-by-step explanation:

Parents are having twin babies and have put 7 unique name cards in a bowl.

* When the first baby is born, a parent draws a card and gives the baby that name.

* When the second baby is born, the parent draws a card from the remaining names.

How many combinations of names were possible for those two babies?

Answers

Answer: 42 Hope this helps!

Step-by-step explanation:

Okay so if there are 7 names lets just say the names are

1

2

3

4

5

6

7

The combos on names can be

1,2

1,3

1,4

1,5

1,6

1,7

2,1

2,3

2,4

2,5

2,6

2,7

3,1

3,2

3,4

3,5

3,6

3,7

4,1

4,2

4,3

4,5

4,6

4,7

5,1

5,2

5,3

5,4

5,6

5,7

6,1

6,2

6,3

6,4

6,5

6,7

7,1

7,2

7,3

7,4

7,5

7,6

There are 42 combos that can happen!

Solve the inequality. Graph the solution.

d+12<19
The solution is

Answers

Answer:

d<7

Step-by-step explanation:

which of the following sets of numbers could represent the three sides of a triangle?\

{10,21,32}
{13,17,32}
{14,24,40}
{13,16,27}

Answers

Answer:

14,24,40

Step-by-step explanation:

u cute

Answer:25 = 25 Right Triangle. 3, 7 and 9 Squaring each side = 9, 49 and 81. sum of the squares of the short sides = 9 + 49 = 58. 58 < 81 Obtuse Triangle. For determining if the 3 sides can even form a triangle, the triangle inequality theorem states that the longest side must be shorter than the sum of the other 2 sides.

Step-by-step explanation:

What is the slope?
What is the y intercept?
What is the equation of the line written in slope-intercept from?

Answers

Answer:

Step-by-step explanation:

As we move along the graph from x = 2 to x = 3 (a change of 1), y decreases from y = 100 to y = 0 (a change of -100).  Thus, the slope of this line is

m = rise / run = -100/1 = -100.

The y-intercept is the point where the graph crosses the y-axis, and is (0, 200).

The equation of this line in slope-intercept form is  y = -100x + 200

please help me thanks ​

Answers

i believe it would be the last answer, 6.25
if this is correct i’m very sorry, but if this helps, please mark brainliest. :)

PLZZZ HELP I NEED NOTE ABOUT UNDERSTANDING PERCENTS ON EDGE2020
50 POINTS AND BRAINLIEST FOR FIRST ANSWER

Answers

are you making decimals into percents or what?

Answer:

A.

Step-by-step explanation:

^^^^::;:;;^^^^^^^^^^^^^^^^^^^^^^^^^^^^

How many moles are in 4.23 x 1024 formula
units of NaCl

Answers

Answer:

mol Fe3O4 6.022 x 1023 formula units Fe3O4 = 1.20 x 1024 formula units Fe3O4. 1 mol ... a-How many moles of sodium chloride does the can of salt contain?

Step-by-step explanation:

There are approximately 7.035 moles of NaCl in 4.23 x 10²⁴ formula units of NaCl.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

An expression is 4.23 x 10²⁴

To determine the number of moles of NaCl in 4.23 x 10²⁴ formula units of NaCl:

We need to use Avogadro's number, which is defined as the number of particles (such as atoms, molecules, or ions) in one mole of a substance. Avogadro's number is approximately 6.022 x 10²³ particles per mole.

To convert the given number of formula units of NaCl to moles, we divide by Avogadro's number:

Number of moles of NaCl = (4.23 x 10²⁴ formula units of NaCl) / (6.022 x 10²³ formula units/mol)

Number of moles of NaCl = 7.035 moles (rounded to three decimal places)

Therefore, the required value is 7.035 moles.

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Which fraction and decimal forms match the long division problem? A. B. C. D.

Answers

Answer:

C 4/15 and 0.266 repeating

Step-by-step explanation:

I used a calculator

Use the diagram to solve. What is 135% of 280? Percent Total 100% 5% 5% 5% 5% 5% 5% 596 13596 245​

Answers

Answer:

B. 378

Step-by-step explanation:

hope this helps

Imagine that you are of traditional college age and you apply for a direct marketing position, and in the interview for the position, you are told that you look to young for the position. You have been discriminated against. This is a violation of:___________

Answers

Answer:

when grounds intersect.

Step-by-step explanation:

Analyzing the information related to the question above, it is possible to identify that the candidate for the direct marketing position suffered a violation when the grounds intersect.

It is correct to state this on the basis that the candidate was of traditional university age, but in the interview it is said that young people are sought for the position.

This type of discrimination can occur when the individual is discriminated against due to overlapping of several reasons, in the case of the candidate he was seen as a person older than he appeared to be, even though he was a requested age.

Help help help help

Answers

Answer: The solution to this is y=10x-4

Step-by-step explanation:

Also please check out our yoo toobe channel that we have been working hard on, it is called Evimero Academy

thank you

WILL GIVE BRAINLEST PLZZZ HELPP MEEEE

Answers

Answer: its C

Step-by-step explanation:

what number is 12 times greater than the sum of the absolute values of the numbers 47 and (-56)
*GIVING BRAINLIEST*​

Answers

Answer:

1,236

Step-by-step explanation:

The absolute value defines as being the positive of the number.

Absolute value of 47 - 47

Absolute value of (-56) - 56

47 + 56 = 103

103 * 12 = 1,236

Hope this helps!

15x5x3 find the volume with lxwxh

Answers

Answer:

225 units^3

Step-by-step explanation:

15x5x3 = 225

hope this helps, pls mark brainliest :D

Answer:

225

Step-by-step explanation:

A gym membership costs $50 to join a club and then $15 per month. Which equation below represents the equation for the total cost of the gym membership and the number of months ?

Answers

Answer:

d. y = 15x + 50

Step-by-step explanation:

Look for the keywords here :

A gym membership costs $50 to join a club and then $15 per month. Which equation below represents the equation for the total cost of the gym membership and the number of months?

Start with $50, this is the entry free, along with the question being the "total cost of the gym membership." Therefore any equation that puts a negative in front of 50 is incorrect.

a) y = 15x - 50 is crossed out

Now look at $15 per month, this is the amount that is paid per time and can be increased through a variable. Therefore any equation that does not put 15x is incorrect.

c) y = 50x + 15 and b) y = 65mx is crossed out

Leaving us with d) y = 15x + 50

For the function f(x)=-3(x-1) find f(0)

Answers

f(0)=-3(0-1)
f(0)=-3(-1)
f(0)=3

Number 15. Solve for x

Answers

109 + 10x + 6 + 13x - 2 + 8x - 1 = 360
112 + 31x = 360
-112 -112
31x = 248
/31 /31
x = 8

A function is graphed below.



Which of the following represents the range of the function?

Answers

Answer:

el ranho de algo que esm ansgwne

Does the point (8,0) lie on the line represented by 3x + 2y = 16?
O True
False

Answers

Answer:

false

Step-by-step explanation:

(0,8) is on the line, not (8,0) :)

Cane buys candy in bulk and sells it at a 25% markup. If c represents the original cost of the candy, which expression represents the markup price?

Answers

Answer:

D

Step-by-step explanation:

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