A box is 1/5 inch taller than it is wide

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: 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:500

Step-by-step explanation:

√250000=500

Answer:

[tex] \sqrt{250000} \\ \sqrt{500} \times \sqrt{500 } \\ { \sqrt{500 } }^{2} \\ 500[/tex]

Thank you ☺️☺️

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:

Answer:

the second picture answer is F.56

Step-by-step explanation:

if you add 16 + 40=56

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.

Check the picture below.

Make sure your calculator is in Degree mode.

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:

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

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Answer:  Rank correlation

Step-by-step explanation:

hope it helps

Answer:

The value of the expression for x=3 is 51

Step-by-step explanation:

Evaluating expressions

To evaluate a given expression, we simply substitute the value of the variables and complete the operations.

The expression to evaluate is:

P=3(2+5x)

We will evaluate for x=3:

P=3(2+5*3)

The product must be done first:

P=3(2+15)=3*17=51

The value of the expression for x=3 is 51

Answer:

Step-by-step explanation:

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

Answer:

MNO ~ OPQ by AAA (Angle angle angle)

Step-by-step explanation:

1. angle POQ is equal to angle NOM because they are both vertical angles

2. angle OPQ and angle OMN are equal because parallel lines cut by a transversal form congruent alternate interior angles.

3. angle PQO and angle ONM are equal becase of the same reason as reason 2 (parallel lines cut by a transversal form congruent alternate interior angles. )

4. triangles MNO ~ OPQ through AAA (angle angle angle)

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:

[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:

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:

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:

1. <R

2. <E

3. <L

4. RE

5. YE

6. 5

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

The number of apple in each basket is as follows:

First basket = 25 apples

Second basket = 37 apples

Third basket = 16 apples

Fourth basket = 29 apples

Fifth basket = 13 apples

total apples = 120

let

the number of apples in the first basket = a

the number of apples in the second basket = b

the number of apples in the third basket = c

the number of apples in the fourth basket = d

the number of apples in the fifth basket = e

Therefore,

a + b = 62

b + c = 53

c + d = 45

d + e = 42

a + b + c + d + e = 120

62 + 45 + e = 120

e = 120 - 62 - 45

e = 13

d = 42 - 13

d = 29

c = 45 - 29

c = 16

b = 53 - 16

b = 37

a = 62 - 37

a = 25

Therefore,

the number of apples in the first basket = 25

the number of apples in the second basket = 37

the number of apples in the third basket = 16

the number of apples in the fourth basket = 29

the number of apples in the fifth basket = 13

learn more on algebra here: https://brainly.com/question/21318615

Answer:

219.6

Step-by-step explanation:

i used omnicalculator

Answer: 64.0

Step-by-step explanation:

Answer:

she has 12 - D quarters.

She has 24 (12-D) cents in quarters

Step-by-step explanation:

You know that the number of coins, and you know the number of dimes - even if the amount is a variable - you can find the amount of quarters with an equation.

If you knew that Lina had 6 dimes instead of D, you would say 12 - 6 and get the number of quarters. You can do the same thing here.

and If you know Lina has 6 quarters, you could find the amount of money in cents by multiplying 6 by 25. You can do that here too, but with variables and an equation.

Answer:

she has 12 - D quarters.

Step-by-step explanation:

Answer:

-1/10 or -0.1

Hope this helps!

Answer: 10 3/8

Step-by-step explanation:

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

= 10 3/8

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:

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:

75

Step-by-step explanation:

angles on a straight line always add up to 180 degrees so 180-105 =75