State the quadratic formula.
In the Quadratic Formula, the expression underneath the radical symbol determines the number and type of solutions the formula will reveal. This expression, b2 – 4ac, is called the discriminant of the equation ax2 + bx + c = 0.
if you mean this, then [tex]ax^{2} + bx + cx = 0[/tex]
if you mean this, then [tex]x = \frac{-b±\sqrt{b^{2} - 4 (a) (c) } }{2(a)}[/tex] *ignore the a thingy in between the -b and ±
hope this helps! ❤ from peachimin
Find the coordinate of B if A is the point (-1,4) and the midpoint is m=(5,4).
The formula of a midpoint:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have:
[tex]A(-1,\ 4)\to x_A=-1,\ y_A=4\\M(5,\ 4)\to x_M=5,\ y_M=4[/tex]
Substitute:
[tex]\dfrac{-1+x_B}{2}=5\qquad|\cdot2\\\\-1+x_B=10\qquad|+1\\\\x_B=11\\\\\dfrac{4+y_B}{2}=4\qquad|\cdot2\\\\4+y_B=8\qquad|-4\\\\y_B=4[/tex]
Answer: B(11, 4).Cheryl can travel 21.6 miles on one gallon of gas. How far can Cheryl travel on 6.2 gallons of gas? Enter your answer in the box.
Please Help Me Now!!!!!!!!
This is a proportion, once you set it up (the hard part) the calculations are easy.
[tex]\frac{21.6mi}{1gal} = \frac{x}{6.2gal}[/tex]
Now, just cross multiply
x = 133.92 mi
Cheryl travel 133.92 miles on 6.2 gallon of gas if Cheryl can travel 21.6 miles on one gallon of gas.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Cheryl can travel 21.6 miles on one gallon of gas.
Let's suppose Cheryl travel x miles on 6.2 gallon of gas.
x = 6.2×21.6 = 133.92 miles
Thus, Cheryl travel 133.92 miles on 6.2 gallon of gas if Cheryl can travel 21.6 miles on one gallon of gas.
Learn more about the fraction here:
brainly.com/question/1301963
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a bread recipe uses 3 tablespoons of olive oil for every 2 cloves of cushed garlic.how much garlic for one tablespoon of olive oil
Answer: The required quantity of garlic used is 0.67 cloves.
Step-by-step explanation: Given that a bread recipe uses 3 tablespoons of olive oil for every 2 cloves of crushed garlic.
We are to find the quantity of garlic that is used for one tablespoon of olive oil.
We will be using the UNITARY method to solve the given problem.
We have
quantity of garlic that is used for 3 tablespoons of olive oil = 2 cloves.
So, the quantity of garlic that is used for 1 tablespoon of olive oil will be
[tex]\dfrac{2}{3}=0.6666....=0.67~\textup{cloves}.[/tex]
Thus, the required quantity of garlic used is 0.67 cloves.
Which complex number is a distance of sqrt17 from the origin on the complex plane?
A. 2 + 15i
B. 17 + i
C. 20 - 3i
D. 4 - i
Let z=x+iy be a complex number. The distance from this complex number to the origin is
[tex]\sqrt{(x-0)^2+(y-0)^2}=\sqrt{x^2+y^2}.[/tex]
Consider all options:
A. z=2+15i, then [tex]\sqrt{2^2+15^2}=\sqrt{229}.[/tex]
B. z=17+i, then [tex]\sqrt{17^2+1^2}=\sqrt{290}.[/tex]
C. z=20-3i, then [tex]\sqrt{20^2+(-3)^2}=\sqrt{409}.[/tex]
D. z=4-i, then [tex]\sqrt{4^2+(-1)^2}=\sqrt{17}.[/tex]
Answer: correct choice is D.
Ms. Adams claims that the closure properties for polynomials are closed when dividing polynomials. Mr. Aroxa claims that the closure properties for polynomials are not closed when dividing polynomials. Who is correct? Explain your answer.
Answer:
Mr. Aroxa is correct.
Step-by-step explanation:
Since we know that polynomials are closed under addition, subtraction and multiplication as when we will add, subtract or multiply two polynomials we will get a polynomial.
Polynomials are not closed under division because division of two polynomials is not necessarily a polynomial.
We can see it by dividing a binomial by a trinomial. This division will result in a rational expression and it will have negative exponent. Negative exponents are not allowed in polynomials.
Therefore, Mr. Aroxa is correct.
Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?
Can you please write a proportion with the answer?
Answer:
18 Tala.
Step-by-step explanation:
1. You have that Ming learned that the exchange rate is 6 Tala for $2. Therefore, if she exchanged $6, she would get:
[tex]\frac{6}{2}=\frac{x}{6}[/tex]
2. Now, you must solve for [tex]x[/tex], which is sthe amount of Tala:
[tex]x=\frac{(6)(6)}{2}\\x=\frac{36}{2}\\x =18[/tex]
3. Therefore, she would get 18 Tala.
Which function represents exponential decay?
With out any functions to choose from...this is difficult. But look for the equation that has a a decimal raised to a power (.07)^2
Answer:
f(x)=2(2/3)x
Step-by-step explanation:
compared to all of the other answers, 2/3 is the only one between 0-1 for the exponential decay.
Help fast plzz 25 points!!! Graph y + 6=4/5 (x+3) using the point and slope given in the equation.
here! y-intercept at -3.6 and x-intercept at 4.5
There are 37 more cats than dogs in an animal shelter. If there are 78 cats at he shelter, how many dogs are there?
cats = dogs + 37
dogs = cats - 37
78 - 37 = 41 (dogs)
WILL GIVE BRAINLIEST!!!!
Three less than 3 times a number is equal to 23 less than half the number.
(a) Translate the sentence into an equation.
(b) Solve the equation. Show your work.
Let the number be X
According to question
3 less than 3 times a number = 23 less than half the number
3X-3 = 1/2 X -23
3X - 1/2X = -23+3
Taking LCM
(6X-X)/2 =-20
5X = -20×2
5X = -40
X = -40/5
X= -8
Dario is finding the percent of change from $52 to $125. Find his mistake and correct it. His mistake: $ 125 - $ 52 over $ 125 = 0.58 or 58%
um i think its 140,38%
Answer:
140.38%
Step-by-step explanation:
use all 2,4,6,8 Once and any operation and brackets to find two equations that equal 24
Answer:
It is given that by using 2,4,6,8 once and any operation and brackets we have to make two equations which is equal to 24.
1. [8×6]÷(4-2)=48÷2=24 [ First multiplied 8 and 6 keeping them in a bigger bracket then divided by (4-2=2) by keeping it in a single smaller bracket.
2. [8×4]- (6+2)=32 -8=24 [Multiply 8 and 4 and then subtract (6+2=8) from it.This is equal to 24.
These are the two equations that i wrote for you , you can find many more by yourself.
Find the product of (x + 5)(x − 5).
x2 − 10x + 25
x2 + 10x + 25
x2 − 25
x2 + 25
x^2-25 would be your answer
use the FOIL method: First, Outer, Inner, Last.
first: x*x = x^2
outer: x*-5 = -5x
inner: 5*x = 5x
last: 5*-5 = -25
put together: x^2 - 5x + 5x - 25
simplify: x^2 - 25
what proberty is a=1a and also 3-3×=3(1-×)
The first one,
[tex]a=1\times a[/tex] is the multiplicative identity property.
The identity element of multiplication of real numbers is 1.
This means that if you multiply any real number [tex]a[/tex] by [tex]1[/tex] you get the same real number.
The second one,
[tex]3-3x=3(1-x)[/tex] is the distributive of property of multiplication over subtraction.
Answer:
a = 1a ---> multiplicative identity property of 1
3 - 3x = 3 (1 - x) ---> distributive property of multiplication (over subtraction)
Step-by-step explanation:
a = 1a holds the the multiplicative identity property of 1.
This property of identity states that whenever you multiply any number with 1, the result is same as the original number. It means that 1 has no effect when multiplied with any number.
3 - 3x = 3 (1 - x) holds the distributive property of multiplication (over subtraction)
This distributive property is used to multiply a single term with two or more terms inside the brackets or you can say the equations which are in the form a (b + c).
Its main purpose is to expand the terms by first multiplying each term inside the bracket with the term outside the term and then adding/subtracting the like terms together.
The difference of 763 and another number is 0. What is the other number?
the answer is 763 because 763 - 763 = 0
I don't want to sound rude here or anything but common sense would tell you it's 763. If you read and understand the problem it would be easy. Also if you add 763 to 0 you would get itself. Its just asking you to subtract 763 from itself. hope this helps!! :)
determine if the number 5.1x10^-8 is written in scientific notation
Yes, the number is written in scientific notation.
Given
Determine if the number 5.1x10^-8 is written in scientific notation
Scientific notation;Scientific notation is defined as mathematical representation used to represent the decimal number which presents between 1 to 10 multiplied by 10 raised to a power equal to some integer.
If the power is more negative number will be smaller.If the power is less negative the number will greater.The standard of the scientific notation is;
[tex]\rm =a\times b^{10}[/tex]
Therefore,
The number written in scientific notation is;
[tex]5.1\times10^{-8}[/tex]
Hence, yes, the number is written in scientific notation.
To know more about scientific notation click the link given below.
https://brainly.com/question/1851553
can't seem to answer this simple math problem
x + 4x = 5x
90/5 = 18
x = 18
4x = 72
If f(1)=2 and f(n)=f(n-1)-5 , then what is f(6)
f(n) = f(n - 1) - 5
f(1) = 2
f(2) = f(2 - 1) - 5 = 2 - 5 = -3
f(3) = f(3 - 1) - 5 = f(2) - 5 = -3 - 5 = -8
f(4) = f(4 - 1) - 5 = f(3) - 5 = -8 - 5 = -13
f(5) = f(5 - 1) - 5 = f(4) - 5 = -13 - 5 = -18
f(6) = f(6 - 1) - 5 = f(5) - 5 = -18 - 5 = -23
How do the images help express one way technology has changed modern protest in China?
Where are the images?
Dale has three dollars more than twice the amount of money that Leo has. Which statement makes this comparison using the correct variable expression? If Leo has d dollars, then dale has 2(3)+Ddollars. If Leo has d dollars, then dale has 2d+3 dollars. If Leo has d dollars, then dale has d+2+3dollars. If Leo has d dollars, then dale has d/2+3 dollars.
The answer would be: If Leo has d dollars, then dale has 2d+3 dollars.
Hope this helps!
Answer:
Option b) If Leo has d dollars, then Dale has 2d + 3 dollars.
Step-by-step explanation:
We are given the following information in the question:
Let Leo has d dollars.
It is given Dale has three dollars more than twice the money Leo has.
Thus, according to the question Dale's money can be expressed with the help of an equation:
[tex]\text{Dale's money} = 3 + 2\times \text{Leo's money}\\\text{Dale's money} = 3 + (2\times d) = 3 + 2d[/tex]
Thus, option b) is the correct representation of Dale's money.
If Leo has $d, the, Dale have $(3 + 2d).
if the side length of a square pyramid is tripled and the slant height is divided by 5, what would be the formula to find the modified surface area?
i believe the formula you need is; SA= n(3/10 ib) + 9b
I need help how the get this answer
Simplify the following expression. 8 – 5(12x + 8)
Hello again!
[tex]8 - 5(12x + 8)[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
First you had to expand.
[tex]-5(12x+8):-60x-40[/tex]
[tex]8-60x-40[/tex]
Simplify it should be the correct answer.
[tex]8-60x-40:-60x-32[/tex]
[tex]=-60x-32[/tex]
Answer⇒⇒⇒⇒=-60x-32
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Hey there!!
Given equation :
... 8 - 5 ( 12x + 8 )
Using the distributive property :
... 8 - 60x - 40
Combining like terms :
... -32 - 60x ( This is the final answer ).
Hope my answer helps!!
write an integer that represents this situation. (be sure to include + or -).
30 ft. below sea level
PLEASE HELP ASAP
-30 feet
below meaning negative.
the answer would be -30 because its below the sea level if it was positive
it would say above sea level and that would be positive 30
but in this case its -30
question answered by
(jacemorris04)
Solve and explain how you got the answer :
Seven days ago, the gas tank on rosa’s car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. What is the fuel efficiency, in miles per gallon, of rosa’s car if she drove 490 miles in the past 7 days?
Rosa drove 490 miles on 20 - 6 gallons of gasoline, or 14 gallons. Dividing 490 by 14 will give you your answer: 35. Rosa's car can drive 35 miles for every gallon of gasoline.
Answer: Rosa drove 490 miles on 20 - 6 gallons of gasoline, or 14 gallons. Dividing 490 by 14 will give you your answer: 35. Rosa's car can drive 35 miles for every gallon of gasoline.
Step-by-step explanation: I hope this helps!
Is the number 0.135135135... rational or irrational?
Rational although it does repeat it is considered rational numbers that are 0 and are fractions are not considered rational such as square roots too.
Here is some helpful information: Also any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number.
Jake had 2.95 mL of a liquid. He added more liquid and now has 3.56 mL.
How many mL of liquid did Jake add?
Enter your answer in decimal form in the box.
Remark
All you need do is subtract the beginning amount from the ending amount
Givens
Ending Amount (E) = 3.56
Beginning Amt (B) = 2.95
Amt Added (A) = ?
Solution
A = E - B Substitute values
A = 3.56 - 2.95 Combine Like terms on the left
A = 0.61 mL Answer
Match each linear equation with its slope and a point on the line. EASY POINTS
y=x +5for x=0, 1,2,3,4
Plug in each number in the set of x for x to get the set for y
y = x + 5
When x = 0, y = 5
5 = 0 + 5
When x = 1, y = 6
6 = 1 + 5
When x = 2, y = 7
7 = 2 + 5
When x = 3, y = 8
8 = 3 + 5
When x = 4, y = 9
9 = 4 + 5
y = 5, 6, 7, 8, 9
~Rise Above the Ordinary