f(x)=-x^2+8x-14 using quadratic formula

Answers

Answer 1

Answer:

Were you looking for the x and y intercepts? The question is very misleading.

If you were the x intercepts are (4-√2,0), (4+√2,0)

And the y intercept is (0,−14)

If you did not mean this in your question please specify what you meant.

Answer 2

Answer:

[tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

Step-by-step explanation:

Plug in given values of a, b, and c into the quadratic formula and solve for x:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x=\frac{-8±\sqrt{8^{2}-4(-1)(-14) } }{2(-1)}[/tex]

[tex]x=\frac{-8±\sqrt{64-56 } }{-2}[/tex]

[tex]x=\frac{-8±\sqrt{8} }{-2}[/tex]

[tex]x=\frac{-8±2\sqrt{2} }{-2}[/tex]

[tex]x=4±-\sqrt{2}[/tex]

Therefore, the roots are [tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]


Related Questions

Plz help me solve and show your work.

Answers

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]


At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
charge for a 5 hour job?

Answers

445 .                       Answer:

Step-by-step explanation:

445 I think ………………………….

Express as a trinomial.
(2x – 9)(3x +4)

Answers

Answer:

5x^2-19x-36

Step-by-step explanation:

(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)

5x^2 + 8x - 27x - 36

5x^2 - 19x - 36

Expression as a trinomial is  6x² -19x -36.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

An expression,

(2x – 9)(3x +4).

To express as a trinomial:

(2x – 9)(3x +4),

= 6x² -27x + 8x -36

= 6x² -19x -36

Trinomial is a quadratic function.

Therefore, as a trinomial is 6x² -19x -36.

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ2

Multiply the polynomials. (2x2 + 6x + 6)(3x - 2)​

Answers

22 because 2x2=4+6=10+6=16 3x2=6 witch means u add 16+6 and that is 22

Find the area of the shaded region.

Answers

area of parallelogram = base x height
area of large parallelogram
8 x 12 = 96
area of small parallelogram
4 x 6 = 24
96 - 24 = 72
the area of the shaded region is 72 m^2

Help asap plssss......

Answers

Answer:

-3

Step-by-step explanation:

(-4)(6)/12

-24/12

= -2

it will be nice if I get brainiest


A $60 shirt is on sale for 30% off. How much is the shirt's sale price?

Answers

Answer:39?

Step-by-step explanation:

Figure A to figure B?

Is that right?

Answers

Answer:

d

Step-by-step explanation: cause thats the only answer that will maked sense

Find the total surface area of this cone.
Leave your answer in terms of .
15 cm
78 cm
SA = [ ? 17 cm?

Answers

Answer:

SA = 200π cm²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone

The triangle is an 8- 15- 17 ( Pythagorean triple ) with l = 17

Then

SA = πrl + πr²

     =(π × 8 × 17) + (π × 8²)

     = 136π + 64π

     = 200π cm²

Answer:

in the right angle triangle,

p=15cm

b=8cm

[tex]h = \sqrt{15 {}^{2} + 8 {}^{2} } \\ = \sqrt{125 + 64} \\ = \sqrt{289} \\ = 17cm \\ sa = \pi \: rl + b \\ = \pi \: 8 \times 17 + \pi \: r {}^{2} \\ = 136\pi + 64\pi \\ = 200\pi[/tex]

Carl bought a stock for $56. He sold it a week later after its value had dropped below $30. How would you describe the size of Carl's loss

Answers

Answer:

greater than $ 26

Step-by-step explanation:

Price at which the share was bought = $56

The selling price of stock is below $30.

Therefore, the loss of carl would be greater than $56- $ 30 = $26

So, the size of loss of Carl any amount greater than $ 26.

A company created a census to see the impact of pollution in its state. The company attempted to interview every resident of the state. The people it interviewed are an example of a _____.

A.) survey
B.) population
C.) sample
D.) census

Answers

Answer: B) population

Exclamation:
Answer b- okay lol good luck

You are the owner of the biggest and newest roller coaster called the Gentle Giant. The roller coaster costs $6 to ride. The operator of the ride must pay $200 per day for the ride rental and $65 per day for a safety inspection. If you want to make a profit of at least $1,000 each day, what is the minimum number of people that must ride the roller coaster? Write an inequality that can be used to find the minimum number of people, , which must ride the roller coaster each day to make the daily profit.

Answers

Answer:

Inequality: 6r - 200 - 65 [tex]\geq[/tex] 1000  and minimum of 211 people

Step-by-step explanation:

Let r = rides

6r - 200 - 65 [tex]\geq[/tex] 1000

6r - 265 [tex]\geq[/tex] 1000

6r [tex]\geq[/tex] 1265

r [tex]\geq[/tex] 210 [tex]\frac{5}{6}[/tex]

Needs 211 people to make a profit of at least $1000

Please help! Tysm if you do!

Answers

Answer:

A

Step-by-step explanation:

We can solve this problem by eliminating wrong answers

It can be b because there is no 3

It can be c because the equation would be 4+3

And it can be d because the equation would be 3x+4

so it must be a

Answer:

option A is correct

as additional page costs is not fixed so there will be any value of x with multiply by 4

and the fixed remain only one time so it remains fixed and 3 is also fixed.

A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probability of rolling a 5?


please no links or weird pictures!

Answers

Answer:

its a 1/6 chance

Step-by-step explanation:

each face has a 1/6 chance of being rolled since there are 6 faces

Answer:

Answer:

40.2 % to the nearest tenth.

Step-by-step explanation:

Probability( 6 on one roll = 1/6).

Probability (6 on first roll and NOT 6 on the next 5 rolls) = 1/6 * (5/6)^6

= 3125/46656

= 0.06698

Only 1 six rolled can happen in  6 different ways ( where the 6 is on the second, third roll etc.)

So the required probability is 0.06698 * 6 = 0.40188.

Step-by-step explanation:

Found this

The company charges $45 a day for the car
as well as charging a one-time $25 fee for
the car’s navigation system (GPS). Write an
equation for the cost in dollars, C, as a
function of the number of days, d, the car
was rented.

Answers

Answer:

I personally find it easier to put my equation in words before actually writing the equation, so for this particular situation, the equation would sound like this :

→ The cost (C) is equal to 45$ a day (d) plus 25$!

Now that your equation is put into words, all that you have to do is write down the equation without the words :

→ C = (45d) + 25

If you want to make sure that your equation is correct, you can try it out, say for instance you want to rent a car for a week, so for a total of 7 days, and you want to see how much it would cost :

d = 7 (in this particular situation)

C = (45 × 7) +25

C = 315 + 25

C = 340

→ So it would cost 340$ to rent a car for a week!

credit goes to naomi479xx for solving this answer.

Can someone please help me with this question
Please check this answer
Please tell me if it’s correct if it’s not please answer it correctly please

Answers

Step-by-step explanation:

Hey,

I'm sorry, this is not correct. For a reflection, all you have to do is count the number of points from that specific point to the line. So, for example, w is 6 units away from the line, in order to draw that, count 6 units and graph. It's pretty hard to explain, but remember the shape is being reflected, so the orientation must change. I suggest searching this up.

Let me know if you have any more questions and I'll be more than glad to help.

- Lena :)

Can you please help me

Answers

Answer:

there is the answer. ❤ hope it helps

y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?

Answers

Answer:

1/2

Step-by-step explanation:

y = mx + b is slope intercept form.

b = y intercept. where the line first passes through on the y axis

that number is 3.

y = mx + 3.

to find M (slope) you have to do RISE / RUN.

Run is going left or right from a point

Rise is going up or down from a point.

To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.

From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.

So, the slope is 1/2.

can you please help me with this ASAP!!

Answers

firstly u can take the value of x=3 then put the value of x in equation..then u will get y = 0 so from this equation u get this(3,0)

then do same thing take value x = 6 and then u will get the value of y = -1 therefore u will get (6,-1)

Now plot these two points (3,0) and (6,-1) on graph..

Hope it helps u..!!

The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.

Which function represents the value of the car after t years?

O f(t) = 1.15(21,000)

O f(t) = 21,000(1.15)

O f(t)21,000(0.85)

O f(t) = 0.85(21,000)

Answers

Answer:

f(t) = 0.85(21,000)

Step-by-step explanation:

100% - 15% = 85% 0r in decimal form 0.85

0.85 x the original pricen 21,000

Answer:

the answer for this question is: f(t)=21,000(0.85)^t

Step-by-step explanation:

well since its asking what function represents the value, you have to convert the 15 percent into a decimal. so when you put the equation together you can see its 0.85.

hope it helps! :)

John saved up enough money to buy a $20 can of shoe shine after paying for the $150 pair of Nikes. How much money did he save in all?

Answers

Answer:

170$

Step-by-step explanation:

150+20=170

Answer:

Step-by-step explanation:

170

6 Which is NOT a function?
A y – x = 6
B y = 2x
C x = -2
D y + x = 12

Answers

Answer:

C) x = -2

Step-by-step explanation:

x = -2 is a vertical line with intersects the x-axis at -2; vertical lines are not functions

How many minutes are there in 12.5 hours?

Answers

Answer:

750 minutes

Step-by-step explanation:

Answer:

750 minutes would be your answer

Step-by-step explanation:

Write any two irrational numbers between 0.7575496 and 0.784218972.​

Answers

Answer:

2 rational numbers are:

0.766766676666766666.....

0.766766676666766666.....0.77896543567543120.....

Maggie is buying party favors for her birthday party. She has $5.00 to spend. She can buy pencils for $0.50 each, rubber balls for $1.00 each, and yo-yos for $1.50 each. How many different combinations of these party favors can she buy with $5.00?

25pt

Answers

Maggie can buy 10 pencils, 5 rubber balls, and 3 yo-yos.

You just divide 5.00 but the price of each item to see how much you can buy without spending too much.

can someone help me. its hard

Answers

Answer:

complementary angles

Step-by-step explanation:

We know that complementary angles add up to 90 degrees which is andgles a and b.

By the way, can you follow me on Brainly?

Thanks!

Answer:

B. Complementary angles

Step-by-step explanation:

angle a + angle b = 90 degrees

the two angles form a right angle

two angles that add up to 90 degrees are called complementary angles

Ariel is making bracelets. She bought a 15% foot long string, and a 1243 foot long string. If each
bracelet requires 42 of a foot of string, how many bracelets can Ariel make?

Answers

Answer:

She can make 55 bracelets

Step-by-step explanation:

We have the correct question as follows;

Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make

we have the solution as follows

Firstly, we need to find the total length of the strings bought

We can get this by adding what was bought

That would be;

15 1/6 + 12 1/3

= 91/6 + 37/3

= (91 + 74)/6 = 27 1/2 ft

From the question, each bracelet requires 1/2 ft long

so the number of 1/2 ft long bracelets we can find will be;

27 1/2 divided by 1/2

= 55/2 * 2/1

= 55

I need help with this question

Answers

Answer:

2n=12

Step-by-step explanation:

The next step would be to subtract four from each side getting 2n=12 or B

What is i^34?
A. -1
B. -i
C. 1
D. 1

Answers

Answer:

A.-1 all you had to do was look up the answer

Step-by-step explanation:

The answer to the question is A.

what is the vertex of the graph?



A. (2,2)

B. (1,3)

C. (3,1)

D. (0,2)

Answers

Answer: B

Step-by-step explanation:

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