Formular for quadratic equation almighty formular

Answers

Answer 1

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


Related Questions

2(5 – 9x) = -3(x - 2)

Answers

Answer:

[tex]x=\frac{4}{15}[/tex]

Step-by-step explanation:

1. Distributive Property

[tex]10-18x=-3x+6[/tex]

2. Solving for x

[tex]10-6=-3x+18x\\4=15x\\\frac{4}{15} =x[/tex]

Hope this helped! Please mark brainliest :)

Write an expression for the sequence of operations described below.
double t, subtract v from the result, then subtract u from what you have
Do not simplify any part of the expression.

Answers

Step-by-step explanation:

Double t

t+t=2t

Subtract v

2t-v

Subtract u

2t-v-u

What is the volume of a cube that has a side length of 5 centimeters?

A cube with side lengths of 5 centimeters.

Recall the formula Cube volume = s cubed.

Answers

Answer:

125

Step-by-step explanation:

We know that the side length is 5, and the formula for the volume of a cube is the side length cubed. Therefore, 5 cubed is equal to the volume.

A value cubed is equal to a value multiplied by itself twice. Therefore, 5 cubed is equal to 5 * 5 * 5. This is equal to 125

Answer:

125

Step-by-step explanation:

For the problem I tried dividing but my answers were not correct. How can I solve this problem then? Can someone help me out here please?

Answers

Answer:

8

Step-by-step explanation:

5 = 40

1 = x

Then we multiply by the rule of crisscrossing

5 x X = 40 x 1

5x = 40 then divide both by 5

X = 8

find the HCF by prime factorization method 60 and 75​

Answers

HCF=15

Hope it helps you...

Luke makes fruit cakes for a stall at a village fete. It costs Luke £1.80 for
the ingredients for each cake. If he wants to make exactly 35% profit on
each cake, how much money should Luke charge for each cake?

Answers

Answer:

2.43

Step-by-step explanation:

1.80 x 0.35 + 1.80

Find the gradient of the tangent line to the curve y=-x² + 3x at the point (2, 2).​

Answers

Answer:

Y' = - 1

Step-by-step explanation:

Y' = - 2x +3

So y' (2,2) =-2*2 +3= - 1

PLS HELP
The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations.

Answers

9514 1404 393

Answer:

  42,412 ft³ each tank

  84,823 ft³ both tanks added together

Step-by-step explanation:

"Congruent in size" means both tanks have the same dimensions. Each has a radius of 15 ft and a length of 120 ft. Each has half the volume of a cylinder with those dimensions.

The formula for the volume of a cylinder is ...

  V = πr²h

where r is the cylinder radius, and h is the length of its axis.

We want the volume of half a cylinder with r=15 and h=120 (dimensions in ft). We can compute that using ...

  V = 1/2π(15 ft)²(120 ft) = π(225 ft²)(60 ft)= 13500π ft³

If we want the volume to the nearest cubic foot, we need a value of pi that is at least 7 significant digits (3.14 isn't appropriate). Then the volume is about ...

  (13,500)(3.141593) ft³ ≈ 42,411.5 ft³ ≈ 42,412 ft³

Both tanks have a volume of 42,412 ft³ each.

_____

Additional comment

The question, "What is the volume of both tanks?" is ambiguous. We're not sure if the combined volume is intended, or if the volume of each of the two tanks is intended. Both numbers are provided, so you can sort it out as you see fit.

How many orders are possible to view 6 videos from a stack of 8 videos?

Answers

Answer:

28

Step-by-step explanation:

We know that ,

n C r = n! / ( n - r)! r!

8! / ( 8 - 6)! 6!

8! / 2! × 6!

7 × 8 / 2 × 1

28

A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression. How many people clicked on the banner ad

Answers

Answer:

300

Step-by-step explanation:

[tex] \frac{1.5}{100} = 20000 \\ 20000 \div 100 = 200 \\ 200 \times 1.5 = 300[/tex]

if A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression then 300 people clicked on the banner ad

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression.

We need to find how many people clicked on the banner ad.

Let us find the value of  1.5%  of 20000

Convert 1.5 % to decimal

1.5/100=0.015

Now multiply 0.015 with 20000

0.015×20000

300

Hence, if A banner ad created by Jonathan had CTR of 1.5% with 20,000 impression then 300 people clicked on the banner ad

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ5

Please help me.I tryed to solve

Answers

Answer:

[tex]x \ge 1[/tex]

Step-by-step explanation:

Given

The number line

Required

Interpret

On the number, we have the following observations;

(1) The thick line starts from 1

(2) The line points to the right; this means greater than or/equals to

(3) The dot on 1 is a closed circle; this means greater than or equal to

So, the inequality is:

x greater than or equal to 1

i.e.

[tex]x \ge 1[/tex]

Give two examples of subtraction of fractions ( between 0-1) with different denominators.
SHOW ALL STEPS

Answers

Answer:

3/4-1/2=1/4 4/5-3/15

Step-by-step explanation:

3/4-1/2

=3/4-2/4

=1/4

4/5-3/15

=4/5-1/5

=3/5

You are a 60 year old male. You want $1,000,000.00 in term life insurance. It will cost you $13.22 per $1,000.
Calculate the annual premium.
A $11,220.00
B $12,220.00
C $13,220.00
D $14,220.00

Answers

Answer:

C $13,220

Step-by-step explanation:

A survey found that the median number of calories consumed per day in a certain country was 3,304 and the mean was 3,204.9 calories. If a histogram were constructed for the data, would you expect it to be skewed to the right, to the left, or approximately symmetric

Answers

Answer:

Skewed to the left

Step-by-step explanation:

Given

[tex]Median = 3304[/tex]

[tex]Mean = 3204.9[/tex]

Required

The type of distribution

From the given data, we have:

[tex]Median \ne Mean[/tex] --- Mean and Median are not equal

and

[tex]Median > Mean[/tex] --- Median is greater than mean

When the median is greater than the mean; the histogram is expected to be left skewed

Find the radius of a circle with a diameter whose endpoints are (-7,1) and (1,3).​

Answers

Answer:

r = 4.1231055

Step-by-step explanation:

So to do this, you need to find the distance between the two points:

(-7,1) and (1,3).

To do this, the distance or diameter (d) is equal to:

d = sqrt ((x2-x1)^2 + (y2-y1)^2)

In this case:

d = sqrt( (1 - (-7))^2 + (3 - 1)^2 )

d = sqrt( 8^2 + 2^2)

d = sqrt( 64 + 4)

d = sqrt( 68 )

The radius is half of the diameter, so:

r = 1/2 * d

r = 1/2 * sqrt( 68 )

r~ 4.1231055

Solve: 3x - 1 = 8(x + 1) + 1
O A. x= -
3
5
O B. x= -2
O C. x = -
CT 00
O D. There are infinitely many solutions.

Answers

Answer:

x=-2

Step-by-step explanation:

3x-1=8x+8+1

3x-1 = 8x+9

3x-1+1=8x+9+1

3x= 8x+10

3x-8x=8x+10-8x

-5x=10

-5x ÷-5

10 ÷-5

x=-2

The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters. Round your answer to four decimal places.

Answers

Answer:

69.14% probability that the diameter of a selected bearing is greater than 84 millimeters

Step-by-step explanation:

According to the Question,

Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.

In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ

we have μ=87 , σ=6 & X=84

Find the probability that the diameter of a selected bearing is greater than 84 millimeters

This is 1 subtracted by the p-value of Z when X = 84.

So, Z = (84-87)/6

Z = -3/6

Z = -0.5 has a p-value of 0.30854.

⇒1 - 0.30854 = 0.69146

0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.

Note- (The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X)

Find the difference.

(3x3−2x2+4x−8)−(5x3+12x2−3x−4)=

Answers

Answer:

-2x³ - 14x² + 7x - 4

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(3x³ - 2x² + 4x - 8) - (5x³ + 12x² - 3x - 4)

Step 2: Simplify

[Distributive Property] Distribute negative:                                                    3x³ - 2x² + 4x - 8 - 5x³ - 12x² + 3x + 4Combine like terms (x³):                                                                                   -2x³ - 2x² + 4x - 8 - 12x² + 3x + 4Combine like terms (x²):                                                                                   -2x³ - 14x² + 4x - 8 + 3x + 4Combine like terms (x):                                                                                    -2x³ - 14x² + 7x - 8 + 4Combine like terms:                                                                                         -2x³ - 14x² + 7x - 4

Find the area of the quadrilateral.

Answers

Answer:

320 cm²

Step-by-step explanation:

If 3 units = 12cm

Then 1 unit = 12/3 = 4cm

Formula for Area Trapezoid = height*(base1+base2)/2

Base 1 = 12

Base 2 = 7 * 4 = 28

12 + 28 = 40

40 * (4*4) = 40 * 16 = 640

640 / 2 = 320

If my answer is incorrect, pls correct me!

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

-Chetan K

Determine the mean and variance of the random variable with the following probability mass function. f(x)=(216/43)(1/6)x, x=1,2,3 Round your answers to three decimal places (e.g. 98.765).

Answers

Mean:

E[X] = ∑ x f(x) = 1 × f (1) + 2 × f (2) + 3 × f (3) = 51/43 ≈ 1.186

Variance:

Recall that for a random variable X, its variance is defined as

Var[X] = E[(X - E[X])²] = E[X ²] - E[X

Now,

E[X ²] = ∑ x ² f(x) = 1² × f (1) + 2² × f (2) + 3² × f (3) = 69/43

Then

Var[X] = 69/43 - (51/43)² = 366/1849 ≈ 0.198

(each sum is taken over x in the set {1, 2, 3})

Jamal opens a savings account with a starting balance of $200 and plans to
deposit $75 each week after opening the account. His savings over time is
represented by the graph below. How would this graph change if Jamal
decided to deposit $100 each week instead?

Answers

the graph would steeper, meaning more savings over time

Find the equation and check answer of (−8x=−2x−8)

Answers

Answer:

x = 4/3

Step-by-step explanation:

you need to move -8x to the right side.0=6x-8then, you need to move -8 to the left side.8=6xyou can get answer!x = 4/3

According to the WHO report, girls who are one month old have a mean head circumference of 36.6 centimeters with a standard deviation of 1.2 centimeters. As with most body measurements, head circumference has a normal probability distribution. Medscape defines microcephaly (small head syndrome) as a head circumference that is more than two standard deviations below the mean. What is the probability that a one-month old girl will be categorized as having microcephaly

Answers

Answer:

0.0228 = 2.28% probability that a one-month old girl will be categorized as having microcephaly

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Medscape defines microcephaly (small head syndrome) as a head circumference that is more than two standard deviations below the mean. What is the probability that a one-month old girl will be categorized as having microcephaly?

Probability of a z-score of -2 or less, which is the p-value of Z = -2.

Looking at the z-table, Z = -2 has a p-value of 0.0228.

0.0228 = 2.28% probability that a one-month old girl will be categorized as having microcephaly

In July 2014 one Mexican peso was worth 0.075 U.S. dollars. How many Mexican pesos was $133.00 U.S. dollars worth?

Answers

Answer:

1,773.33 Mexican pesos

Step-by-step explanation:

Create a proportion where x was how many Mexican pesos it was worth:

[tex]\frac{1}{0.075}[/tex] = [tex]\frac{x}{133}[/tex]

Cross multiply and solve for x:

133 = 0.075x

1773.33 = x

So, it was worth approximately 1,773.33 Mexican pesos

Please help me out with these questions :

Answers

Answer:

Step-by-step explanation:

1. 3/7 x = 12

  3x = 84

    x = 28

2. 3x+ 6 = 39

   3x = 33

    x = 11

3. 1/3 x - 3/4 x = 15

    9x  - 4x  = 180

       x =  36

4.   1/4 x = x -21

      3/4 x = 21

      3x = 84

        x=28

5.    86-36 = 50

      50/2

       25

At that rate, about how many gallons of milk will they need to purchase in a year’s time?

Give your answer as a whole number.

Answers

Answer: 260 gallons

Step-by-step explanation:

We can use a proportion to solve this problem. We know that a family used 15 gallons of milk every 3 weeks. Since the problem asks for how much they will need for a year, we can gather that a year is 52 weeks. We can come up with the following proportion.

[tex]\frac{15}{3} =\frac{x}{52}[/tex]          [cross multiply]

[tex]3x=780[/tex]       [divide both sides by 3]

[tex]x=260[/tex]

Therefore, they will need to purchare 260 gallons.

-9(m + 2) + 406 - 7m)

Answers

Answer:

-9(m+2)+406-7m)

=-16+388

Help please I don’t get may I please have help with this

Answers

Answer:

[tex]1)\:2\frac{2}{3} ft[/tex]

[tex]2)\:4[/tex]

[tex]3)\:\frac{20}{3} ft^{2}[/tex]

[tex]4)\:10\frac{2}{3} ft^{2}[/tex]

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

hope it helps...

have a great day!!

identify an equation in slope-intercept form for the line parallel to y=-3x+7 that passes through (2,-4)

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = -3x + 7. Its slope is -3. A line parallel to this one will also have a slope of -3.

Plug this value (-3) into your standard point-slope equation of y = mx + b.

y = -3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (2, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -3(2) + b

To find b, multiply the slope and the input of x (2)

-4 = -6 + b

Now, add 6 to both sides to isolate b.

2 = b

Plug this into your standard equation.

y = -3x + 2

This equation is parallel/perpendicular to your given equation (y = -3x + 7) and contains point (2, -4)

Hope this helps!

Solve the equation x^2+6x+1=0

Answers

Hello!

x² + 6x + 1 = 0 <=>

<=> x = -6±√6²-4×1×1/2×1 <=>

<=> x = -6±√36-4/2 <=>

<=> x = -6±√32/2 <=>

<=> x = -6±2²√2/2 <=>

<=> x = -6±4√2/2 <=>

<=> x = -6+4√2/2 <=>

and

<=> x = -6-4√2/2 <=>

<=> x = -3+2√2 <=>

and

<=> x = -3-2√2 <=>

x1 = -3-22 and x2 = -3+22

Good luck! :)

X^2+6X+1=0
X^2+6X+3^2-3^2+1=0
(X+3)^2-9+1=0
(X+3)^2=8
X+3= ± 2√2
X= ±2√2-3
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