How many real number solutions does the equation y=2x^2−8x+8 have?

Answers

Answer 1

Answer:

1 real solution

Step-by-step explanation:

y=2x^2−8x+8

We can use the discriminant to determine the number of real solutions

b^2 -4ac

a =2  b = -8  c=8

(-8)^2 - 4(2)(8)

64 - 64

0

Since the discriminant is 0 there is 1 real solution

>0 there are 2 real solutions

< 0 two complex solutions


Related Questions

how do i answer on the subjects

Answers

Answer:There is a button that says answer you click on answer and then give the answer and then once your finished click the green button on top that says add your answer.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Either you can click on the "answer" button on the question in main menu, or you can click on the question, and then click the "add your answer" button.

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hope it helps

Find the missing length, using one of the trigonometric ratios.​

Answers

Step-by-step explanation:

x= 10 sin 60° = 10×½√3 = 5√3

y= 10 cos 60° = 10×½ = 5

x2 − 2x − 2 into the form a(x − h)2 + k.

Answers

Answer:

x² - 2x - 2

By Completing the Square....

x² - 2x + 1² - 2 - 1²

(x - 1)² - 3 .....

Hope it helps.

HELP ASAP IM BEING TIMED

Answers

Answer:

Last option is the answer. <3

How are prisms and pyramids alike and how are they different?

Answers

Prisms and pyramids are  geometric shapes that have flat sides, flat bases and angles. So those are some similarities. However, the bases and side faces on prisms and pyramids differ. Prisms have two bases while pyramids only have one. There are a variety of pyramids and prisms, so not all shapes in each category look the same.

Hit the heart if this was helpful

The three sides lengths of four triangles are given. Which triangle is a right triangle?

Answers

Answer:

I believe the right answer is answer A

find the area of the composite shapes.

Answers

38.1372ft2

Step-by-step explanation:

lxw 6x4

[tex] \frac{1}{2} \pi \: {r}^{2} [/tex]

add both together, your radius is half your length so half of 6ft is 3 for your radius

Mrs. Kaplan"s son, Carter, can crawl 125 feet in 1.5 minutes. He can walk 384 feet in 4 minutes. Is he faster on all fours or on his feet?

Answers

Answer:

Crawling

Step-by-step explanation:

Substitute 8 for x and evaluate the expression below.
5(x + 1) - 20

Answers

Answer:

25

Step-by-step explanation:

Substituting x = 8 into the expression

5(8 + 1) - 20

= 5(9) - 20

= 45 - 20

= 25

Answer:

25

Step-by-step explanation:

see Image below:)

x² + 6x = 7
Can u please tell me the answer I need it fast

Answers

the first x=1
the second x=-7
The answer is in the photo

Can some one heeelpppp please

Answers

Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

to find first quartile,median,third quartile data must be arranged in ascending to descending order

since the data is already in the order so we dont need to change

median=(N+1)/2 (N is number of data)

=(7+1)/2

=8/2

=4 th term

=55


Doug needs to order 25,000 g of a
supplement. At the store,
supplements come in 5 kg packages
that cost $80 each. What will Doug's
order cost?

Answers

Answer:

$2000

Step-by-step explanation:

1,000 g would be = 1 Kg so it would be 25 Kg

And 25 X 80 = 2000

Answer:

$400

Step-by-step explanation:

25,000 grams is equal to 25 kg, so if 5 kg equals $80, the total 25 kg divided by 5 equals five. With this you multiply; 5 × 80 kg = 400. So $400 is the answer.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

A line segment is a line drawn with two end points.

1.) Option A is a point

2.) Option B is a line segment

3.) Option C is a ray

4.) Option D is a line

Hope this helps!

Answer Please.......​

Answers

Answer:

7.1

Step-by-step explanation:

Use the trig ratio tan to find b

4.5 x tan (23) = b = 7.14668887526

7.1

Answer:

b ≈ 1.9

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan23° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{4.5}[/tex] ( multiply both sides by 4.5 )

4.5 × tan23° = b , then

b ≈ 1.9 ( to the nearest tenth )

i need help with my math please help me understand. Itook a picture of it.

Answers

Answer:

1/3 x 1/3 x 1/3(volume of small cube) = 1/27

2/3 x 7/3 x 4/3(volume of figure shown) = 2 2/27

Now we divide to see how many cubes can fit.:

2 2/27(make improper fraction) divided by 1/27 = 56 small little cubes can fit.

[tex]4x^{2} -4x+1=0[/tex]

Answers

Answer:

x=1/2

Step-by-step explanation:

See image below:)

Nelda baked two kinds of pasta in pans. Each pan was the same size. She sliced one pan of pasta into 4 equal pieces. She sliced the other pan into 6 equal pieces. How can the pans of pasta now be sliced so that both pans have the​ same-sized pieces? If Nelda has served 8 pieces from 1 pan so​ far, what fraction of 1 pan has she​ served?

Answers

Answer:

6 equal parts;  8 equal parts

Both those will go into 24.

Step-by-step explanation:  Each of six slices of the first pasta has the area 1%2F6 of the entire pan.

Each of eight slices of the second pasta has the area 1%2F8 of the original pan.

Nelda will cut each 1%2F6 in 4 equal pieces to get 1%2F24.

She also will cut each 1%2F8 in 3 equal pieces to get 1%2F24.

solve the equation by completing the square. Round to the nearest hundredth if necessary.


x^2+2x=8


A. X= 2, 4

B. X= -2, 4

C. X= 2, -4

D. X= -2, -4

Answers

This answer would be A hope this helps

_____ + 15 − 15 = 21
help mee

Answers

Answer:

x = 21

Step-by-step explanation:

x + 15 - 15 = 21

+ 15 and - 15 cancel out

So x = 21

Let's solve the longer way

x + 15 - 15 = 21

x + 15 = 21 + 15 .      (adding 15 to both sides)

x = 21                       (Subtracting 15 from both sides)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The answer that goes into the blank is 21

Step-by-step explanation:

15-15 is 0, so 21+15= 36-15=21

A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6. Describe in detail (using formulas and/or specific steps needed) TWO ways to find the maximum height reached by the ball.

Answers

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

Help please me please please need explanation

Answers

9514 1404 393

Answer:

  a) see attached

  b) 1/3

Step-by-step explanation:

Your grid doesn't come with any coordinate axes, so you will need to draw those and label them. You will also need to determine the number of grid squares for each unit. (I suggest 2 grid squares per unit to give you a little more distance between the points you plot. The attachment shows 5 small squares per unit. You may not have this much space on your graph.)

Plot the points. Once you do this, you can see that their horizontal difference is 3 units and their vertical difference is 1 unit. The right point is above the left point, so the slope is positive:

  m = (rise)/(run) = 1/3 . . . slope of the line

Match each expression with its sum or difference

Answers

Answer:

1-4=-3

-1-4=-5

-1+4=3

1-|-4|=5

Answer:

[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]

Step-by-step explanation:

The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.

What is the value of the product (3 - 2i)(3 + 2i)

Answers

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

30 pts 5 stars thanks and brainliest please- this question is really hard...

Answers

Answer:

From least to greatest

C

B

A

Step-by-step explanation:

Function A is the only one with a positive y-intercept

so it's the greatest

Function B has a y-intercept of -1 as read of the graph

it is the middle one

Function C has a y-intercept of -9/4 as given in point (0, -9/4)

this is the least

-----------------

From least to greatest

C

B

A

−n+(−4)−(−4n)+6 find equivalent expressions PLZ

Answers

Answer:

3n+2

Step-by-step explanation:

−n+(−4)−(−4n)+6

Combine like terms

−n−(−4n)+6+(−4)

A negative negative is like adding

−n+(4n)+6+(-4)

3n+2

The answer to your question is 3n+2

you have at most $20.25 to spend at a store. Shirts cost $11.50 each, and pants cost $16 each. Let s be numbers of shirts and p be number of pants. Write an inequality that represents the numbers of shirts and pants you can afford. DO NOT INCLUDE THE DOLLAR SIGN IN YOU INEQUALITY. An inequality is______

Answers

is this an algebra class? if so it just

11.50x + 16y = 20.25

Solve for. . Write your answer as “x=__”

Answers

Answer:

x=50

Step-by-step explanation:

Since it's a straight line, 3x-20+x=180. 4x=200, x=50

A particle is moving with acceleration a ( t ) = 18 t + 16 . Its position at time t = 0 is s ( 0 ) = 10 and its velocity at time t = 0 is v ( 0 ) = 16 . What is its position at time t = 8 ?

Answers

Answer:

[tex]s(8)=2186[/tex]

Step-by-step explanation:

A particle is moving with acceleration modeled by the function:

[tex]a(t)=18t+16[/tex]

We are given that its position s(t) at t = 0 is 10 and that its velocity v(t) at t = 0 is 16.

And we want to find its position at t = 8.

Velocity is the integral of the acceleration. Hence:

[tex]\displaystyle v(t)=\int a(t)\, dt=\int 18t+16\, dt[/tex]

Find the velocity. Remember the constant of integration!

[tex]v(t)=9t^2+16t+C[/tex]

Since v(t) is 16 when t = 0:

[tex](16)=9(0)^2+16(0)+C\Rightarrow C=16[/tex]

Hence, our velocity is given by:

[tex]v(t)=9t^2+16t+16[/tex]

Position is the integral of the velocity. Hence:

[tex]\displaystyle s(t)=\int v(t)\, dt=\int 9t^2+16t+16\, dt[/tex]

Integrate:

[tex]\displaystyle s(t)=3t^3+8t^2+16t+C[/tex]

s(t) is 10 when t = 10. Hence:

[tex]C=10[/tex]

So, our position function is:

[tex]s(t)=3t^3+8t^2+16t+10[/tex]

The position at t = 8 will be:

[tex]s(8)=3(8)^3+8(8)^2+16(8)+10=2186[/tex]

any method that uses formulas, figures, or proportions to measure an object Is a(n) ______?

Answers

Answer:

Indirect measurement

Step-by-step explanation:

Maria's house is due south of Boise and due east of marching. Mamas house is 12 miles from Boise and 20 miles are marching. How far apart are Boise in marching as the crow flies? Round your answer to the nearest 10th

Answers

Answer:

23.32 Miles

Step-by-step explanation:

According to the Question,

Given, Maria's house is due south of Boise and due east of marching & Maria's house is 12 miles from Boise and 20 miles From marching .

(For Diagram Please Find in Attachment)

In Triangle ABC , Apply Pythagoras Theorem, We get

AC²=AB² + BC²

AC² = 12² + 20²

AC² = 544 ⇒ √544 ⇔ 23.32 miles

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