Need this for my homework! Please help! Image attached!

Answers:

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Explanation:

We can use the discriminant formula to determine how many (and what type of) roots we have. The term "root" is another word for "solution" or "x intercept". It's the x value that makes y = 0.

Any quadratic is of the form ax^2 + bx + c = 0

The discriminant formula is

d = b^2 - 4ac

which is found underneath the square root in the quadratic formula.

Here are the three possible outcomes

With all that in mind, let's find the discriminant of the first equation on the very left.

First we need to get it into standard form ax^2+bx+c = 0

5x^2 + 2 = 4x

5x^2 - 4x + 2 = 0

We see that

Computing the discriminant gets us...

d = b^2 - 4ac

d = (-4)^2 - 4(5)(2)

d = 16 - 40

d = -24

The actual discriminant value itself doesn't matter. All we care about is whether its positive, zero, or negative.

In this case, we get a negative discriminant. So this equation goes to the "no real solutions" column.

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Let's move onto the next quadratic

3x^2 + 24x = -48

3x^2 + 24x + 48 = 0

a = 3, b = 24, c = 48

d = b^2 - 4ac

d = 24^2 - 4(3)(48)

d = 0

The discriminant of zero means this equation goes into the "exactly one real solution" category.

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For the next equation, we don't need to use the discriminant formula here.

Notice that the right hand side is negative, but the left side is never negative because 3 is positive and (x+5)^2 is never negative. There is no way to have 3(x+5)^2 be negative if we let x be a real number only.

The equation 3(x+5)^2 = -2 goes into "no real solutions" pile.

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For the last equation, we have

a = 4, b = -16, c = 0

So,

d = b^2 - 4ac

d = (-16)^2 - 4(4)(0)

d = 256

The result is a positive number, so we have two different solutions.

The discriminant is a perfect square which means we not only have real number solutions, but those solutions are rational numbers. This only works when a,b,c are rational as well.

Answer:

The original price of the toaster is 2000

Step-by-step explanation:

Given: Toaster price = 2240

VAT = 12%

VAT amount = ?(I'll include this one)

Assume the original price be x.

Let the original price be x

Then,  x + 12% of x = 2240

x+12/100x x = 2240
100x+12x/ 100= 2240

112x/100=2240

112x = 2240 x 100 ⇒ 224000

x = 224000/112

x = 2000.

So, the original price of toaster = Rs. 2000.

The VAT amount = 2240 - 2000 ⇒ Rs. 240.

The VAT amount is Rs. 240.

Answer:

219.6

Step-by-step explanation:

i used omnicalculator

Answer:

Today: Monday, 12 October 2020

Hour: 09.13 WIB (in Indonesian)

_________________________

5x = -20

x = -20/5

× = -4

Answer:

x = -4

Step-by-step explanation:

5x = -20

x = -20/5

x = -4

I hope this helped!

Answer: 10 3/8

Step-by-step explanation:

= 50 - 19 3/4 - 19 7/8

= 10 3/8

Answer:

-1/10 or -0.1

Hope this helps!

Answer:

7.5 meters

Step-by-step explanation:

14/2=7 16/2=8 so you go halfway for 15

Divide the total length by 2

Length of ribbon=15m

Half:-

Answer:

the second picture answer is F.56

Step-by-step explanation:

if you add 16 + 40=56

Answer:

B

Step-by-step explanation:

(g - f)(x)

= g(x) - f(x)

= log(x - 3) + 6 - ([tex]\sqrt[3]{12x+1}[/tex] + 4)

= log(x - 3) + 6 - [tex]\sqrt[3]{12x+1}[/tex] - 4 ← collect like terms

= log(x - 3) - [tex]\sqrt[3]{12x+1}[/tex] + 2

Value of the given function[tex](g-f)x = log(x-3)-\sqrt[3]{12x+1} +2[/tex].

" Function is defined as the relation between the given variables is such that every input has exactly one output each."

According to the question,

Given functions are,

[tex]f(x) = \sqrt[3]{12x+1} +4\\\\g(x) = log(x-3) +6[/tex]

Substitute the value in the function (g -f)x we get,

[tex](g-f)x = g(x) -f(x)[/tex]

             [tex]= log(x-3) + 6 -( \sqrt[3]{12x+1} +4)\\\\= log(x-3) + 6 -\sqrt[3]{12x+1} -4\\\\= log(x-3) -\sqrt[3]{12x+1} +2[/tex]

Hence, Option(B) is the correct answer.

Learn more about function here

https://brainly.com/question/12431044

#SPJ3

Answer:

trapezoid

Step-by-step explanation:

since the figure has only 1 pair of parallel sides then it is a trapezoid

Answer:

rhombus

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex] or [tex]0.25[/tex] (they're the same)

Step-by-step explanation:

First Part:

Second Part:

Wrap it all up:

I hope this helps!

Answer:

h = -1

Step-by-step explanation:

-( 4+h) = 3h

Distribute the minus sign

-4 -h = 3h

Add 4 to each side

-4-h+h = 3h+h

-4 = 4h

Divide each side by 4

-4/4 = 4h/4

-1 = h

Answer: 14I + 15t ≤ 170

Step-by-step explanation:

Let I be the number of hours life guarding, and t be the number of hours tutoring(stated in the questions). At least is means this number is greater or equal to, which used the symbol ≤.

14I + 15t ≤ 170

Answer:

I will help you figure it out. Multiply all the numbers together: And you'll get; 21,120 in.

Hope this helps! Rate Brainiest!

-Aslina

Answer: 225 tiles

Step-by-step explanation:

Side of tile = 20 cm = 0.2 m

Side of bathroom = 3 m

Area of tile = 0.04 m²

Area of bathroom = 9 m²

No. of tiles = Ar (bathroom) / Ar (tile)

= 9 / 0.04

= 9 x 25

= 225 tiles

Answer:

the slope is -2

Step-by-step explanation:

if you move the x by 2, you would see a decrease in the y by 4. 2/-4 = -2.

Answer: i think 300

Step-by-step explanation: i divided 240 by 4 and got 60 then multiplied 60X5=300

Answer:

300 miles in five hours.

Step-by-step explanation:

speed = distance/time

distance = speed*time

240/4=60

d= 60*5

d=300 miles in five hours.

Word explanation:

You can use the formula, speed=distance/time to find the speed which is 60 mph. Now use the formula for distance which is distance= speed*time. The answer would be 300 miles in five hours.

Answer:

An artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle

Step-by-step explanation:

Here an artist is constructing a piece of art in the shape of rectangle having length 12 feet & width of 7 feet

Since the artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. Hence one string will tie in a diagonal way

Hence total length of string will be

Total length = Perimeter of rectangle  +  length of diagonal

Perimeter of rectangle  = 2( length + width ) = 2 ( 12 + 7 ) = 2 x 19 = 38 feet

Length of diagonal given by Pythagoras theorem

[tex]\mathrm{Length = { \left( { a }^{ 2 } + { b }^{ 2 } \right) }^{ 0.5 } = { \left( { 12 }^{ 2 } + { 7 }^{ 2 } \right) }^{ 0.5 } = 13.89244\:\:feet}[/tex]

Hence

Total length = Perimeter of rectangle  + length of diagonal

Total length = 38 feet + 13.89244 feet = 51.9 feet

Hence an artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle

Answer:  Rank correlation

Step-by-step explanation:

hope it helps

Answer:

1. <R

2. <E

3. <L

4. RE

5. YE

6. 5

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

The answer is 29

Step-by-step explanation:

353/12 =29.41. But you will have to round down to 29 since 29.41 is below 29.5. Thus, the answer is 29.

Answer: 64.0

Step-by-step explanation:

Your answer is 252.

I hope this helps.

Answer:

Step-by-step explanation:

(3-7)/(6-5)= -4/1= -4

yes 831 is divisible by 3

One way I know this is because when adding all the digits in the number you get 12 which is divisible by 3

Also if you do divide 831 ÷ 3 it would equal 277

Answer:

yes or true

Step-by-step explanation:

Step-by-step explanation:

Reflection about the y-axis followed by a translation left by 2 units

Reflection about the x-axis followed by a translation left by 2 units

Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units

Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

i hope it can help. thanks

Answer: The answer is C

Step-by-step explanation:

Answer:

361

Step-by-step explanation:

Multiply length x width to find area. 19 x 19 = 361