Answer:
x means times
Step-by-step explanation:
how to know which way to solve a quadratic equation
Answer:
Practice -- lots of it
Step-by-step explanation:
I usually choose a solution method that I believe will find the desired answer for me in the least number of simple steps. What constitutes a "simple" step depends on a number of things:
the given information and/or the given form of the equationfamiliarity with all of the different solution processesfamiliarity with arithmetic facts (multiplication tables, squares)familiarity with quadratic forms: difference of squares, perfect square binomials, product of binomials, vertex formavailability of a graphing calculatorwhether an approximation will serve the purpose.__
I often choose a graphing calculator as my first approach to solving a quadratic. It easily shows the roots, and can show the vertex. (Sometimes, scaling the graph is required, so I actually prefer to use a touch-screen for the purpose. It is easier to "pinch" than to type in possible graph limits by trial and error.) The answer is generally provided to 3 or 4 significant figures, which is usually enough to tell if the solution is rational or irrational.
The easiest way to describe an integer (or rational) solution to someone else (on Brainly, for example) is usually to show the factoring of the quadratic. Finding the roots with a graphing calculator significantly aids the factoring process. (It is much easier to "find" the solution if you know the solution before you start looking.)
__
As we said at the beginning, the answer to your question is "practice." Many curricula try to offer opportunities to practice. I find most of these pretty annoying. What I suggest is that you find your own internal motivation to practice solving different kinds of quadratics in several different ways. That is, solve the same quadratic by ...
using the formulacompleting the squarefactoringgraphing (with a graphing calculator)scaling and/or translation and/or transformation*It might take you a couple of hours of work to learn the best way to solve an equation in under 5 minutes.
In this process, you will discover what you need to know to choose a method that works nicely for you. I believe you will find that total familiarity with arithmetic facts (sums, products, squares) and operations on all the different ways to represent numbers (integer, decimal, fraction, percent, scientific notation) will help you significantly.
_____
* Additional comment
Some "area" problems give you the difference of dimensions (length and width), and ask you to find the dimensions that give a specific area. This can be solved by (x)(x -d) = A. If you don't immediately recognize factors of A that differ by d, then you might have to resort to the quadratic formula to solve this.
Another approach is to let the variable represent the average dimension. Then the equation becomes (x -d/2)(x +d/2) = A, which is a "difference of squares" form that is much more easily solved. The solution for x is √(A +(d/2)²), and all you have to do is add and subtract d/2 from that solution to find the dimensions. This is an example of what I mean by transforming the problem.
Simplify Simplify 6 - 23 + (-9 + 5) · 2.
Answer:
The answer is −42
H(x)=(x+5)^2 if we solve h(x)=36
One of the possible values of x is 1
What is the other possible value of x?
Answer:
x = - 11
Step-by-step explanation:
Solving
(x + 5)² = 36 ( take square root of both sides )
x + 5 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 5 from both sides )
x = - 5 ± 6
Then
x = - 5 + 6 = 1
x = - 5 - 6 = - 11
The other solution is x = - 11
Mark’s canoes rents canoes for $20 plus $13 per hour. You do not want to spend more than $150. For how many hours can you afford to rent the canoe?
Answer: x ≤ 10
Step-by-step explanation:
20 + 13x ≤ 150
13x ≤ 150 - 20
13x ≤ 130
x ≤ 130 ÷ 13
x ≤ 10
.
A liquid takes up space because it: _______. has a definite volume but no definite shape has a definite shape but no definite volume has no definite shape or volume will take up as much space as they can
Answer:
1, It has a definite volume but no definite shape.
Step-by-step explanation:
Volume is the amount of space that something takes up. A liquid can only take up a certain amount of space, but it's shape will always depend on what container it is in.
Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.
StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answer:
(c) multiplication property of equality
Step-by-step explanation:
Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.
Which numbers make a true statement when placed in the box?
8.274< |__|
Select EACH correct answer.
1) 8.199
2) 8.201
3) 8.396
4) 8.295
*Disclaimer*
Show work!
Answer:
3 & 4
Step-by-step explanation:
Because 3 = 8.396 which is greater than 8.274 also the same with 4 which is 8.295
Which equation represents the relationship in the table?
y= 14 - 5
y = 2 + 14
Х
y
y= 14 - 3
0
14
1
9
2
4
y = 14 - 52
3
-1
The radius of the front wheel of Brian's bike is 45cm.
Brian goes for a cycle and travels 78.15km.
How many full revolutions did Brian's front wheel complete?
Answer:
Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions.
Step-by-step explanation:
tell me if im wrong.........
A number more than 1.
Answer:
there is no more number than one
Step-by-step explanation:
-5x-/(3x-7)+4(3x-5)-(6x-9)
Answer:
-5x / 9x - 18
Step-by-step explanation:
= - 5x- / ( 3x - 7 ) + 4 ( 3x - 5 ) - ( 6x - 9 )
= applying rule : ( a ) = a
then, ( 3x - 7 ) = 3x - 7
= - 5x- / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )
= applying the fraction rule : -a/b = a/b
= 5x / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )
= -5x / 9x - 8. Answer!
Help. Here's the question, could you please put the letter answer, please.
Answer:
A
Step-by-step explanation:
Answer plz:
Show work also
Answer:
height 10area 240Step-by-step explanation:
The diagonal is the hypotenuse of the right triangle whose sides are the sides of the rectangle. The Pythagorean theorem applies.
height² + base² = diagonal²
height² +24² = 26²
height² = 676 -576 = 100
height = √100 = 10
__
The area is the product of the base and height.
A = bh
A = (24)(10) = 240
The height is 10 units; the area is 240 square units.
Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property. Determine if Alondra is correct. Justify your answer.
Answer:
No
Step-by-step explanation:
(12 + 31) × 5 = 215
12 + 31 × 5 = 167
order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.
Order of Operations :
1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction
question that EQUALS
67.5
Can someone help me with this plis
Answer:
it is c
Step-by-step explanation:
Solve for W if:
4w^2+9w=-2
i need answer please I got a them wrong
Answer:
See image
Step-by-step explanation:
I'm guessing a little bit, bc although you attached an image, it doesn't say what you are trying to prove, nor what you are given. Usually that is provided for a proof.
But we can see that the parallel segments are marked, so we'll call that the given information. Then there are actually two pairs of corresponding angles that are congruent by the Corresponding Angles postulate. But we only need one pair. Then Angle A is congruent to itself by Reflexive Property. Finally what we have proven is that the two triangles ABC and ART are similar by AA
Mr. Jones spent $156 to attend a college football game.
- Twenty percent of this cost was for a parking pass.
- He spent the remainder of the money on two tickets for the game.
What was the price per ticket?
Answer: $62.40
Step-by-step explanation:
what is 20% of 156 ? 31.20
what is 156 - 31.2 ? 124.80
what is 124.8 / 2 ? 62.40
each ticket cost 62.40 dollars
4 + 5 = 5 + 4
Is it true or false
Answer:
it depend on the question but if it is asking if they have the same answer then it is true
Step-by-step explanation:
Answer: false
Step-by-step explanation: 4+5=9 5+4=-9
compare the quantities in column A and Columb B,
column A.
4x-y=11
3x+y=3
column B
x-5y=-8
-x+4y=5
Answer:
A
Step-by-step explanation:
can't tell you
write in point slope form an equation of the line that passes through point (6,5) with slope 3
Answer:
y - 5 = 3(x - 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 3 and (6, 5 ) a point on the line , then
y - 5 = 3(x - 6) ← equation of line
The area of the triangle below is 14.96 square inches.
What is the length of the base?
Answer:
base = 6.8 in
Step-by-step explanation:
area of triangle = 1/2 base height
where height = 4.4 in
area = 14.96 in²
plugin values into the formula
14.96 = 1/2 base (4.4)
base = 14.96 (2)
4.4
base = 6.8 in
Help me with this please!!!!
Answer:
je suis désolé je ne vois pas bien
Step-by-step explanation:
et aussi je ne comprend pas l'anglais
Which of the values shown are potential roots of f(x) = 3x3 â€"" 13x2 â€"" 3x 45? Select all that apply.
The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]
And the accurate root is 3 it can be determined by using rules of the rational root equation.
Given that,Function; [tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]
We have to determine,Which of the values shown are potential roots of the given equation?
According to the question,Potential roots of the polynomial are all possible roots of f(x).
[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]
Using rational root theorem test. We will find all the possible or potential roots of the polynomial.
[tex]\rm p=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 45}[/tex]
[tex]\rm q=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 3}[/tex]
The factor of the term 45 are,
[tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45[/tex]
And The factor of 3 are,
[tex]\pm1, \ \pm3[/tex]
All the possible roots are,
[tex]\dfrac{p}{q} = \pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]
Now check for all the rational roots which are possible for the given function,
[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45\\\\ f(1) = 3(1)^3 - 13(1)^2 -3(1) + 45 = 3-13-3+45 = 32\neq 0\\\\ f(-1) = 3(-1)^3 - 13(-1)^2 -3(-1) + 45 =- 3-13+3+45 = 32\neq 0\\\\ f(3) = 3(3)^3 - 13(3)^2 -3(3) + 45 = 81-117-9+45 =0\\\\ f(-3) = 3(-3)^3 - 13(-3)^2 -3(-3) + 45 = -81+117+9+45 =-144\neq 0[/tex]
Therefore, x = 3 is the potential root of the given function.
Hence, The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex].
For more details about Potential roots refer to the link given below.
https://brainly.com/question/25873992
Answer: ALL OF THEM
Step-by-step explanation:
HELP THIS IS URGENT!!!!!!!!!!!!!1Fill in the blank so that the equation has the solution x=3
3x+ =5
Answer:
y = 3x + 5
Step-by-step explanation:
Since this is a linear function, its graph is a straight line stretching from - infinity to infinity on both x and y axes, hence domain and range is all real numbers from - infinity to infinity.
#6 Solve the inequality.
6w <-42
Answer:
w < -7
Step-by-step explanation:
Do -42 divided by 6 and keep the sign the same.
You get w < -7.
Hope this helps! :)
Kate and Elena were playing a card game. The stack of cards in the middle had 25 cards in it to begin with. Kate added 5 cards to the stack. Elena then took 8 cards from the stack. Finally, Kate took 7 cards from the stack. How many cards were left in the stack?
Answer:
15
Step-by-step explanation:
step 1: 25+5=30
step 2: 30-8=22
step 3:22-7=15
Plz, Help Me Quickly!!!
What is the equation of a horizontal ellipse with a major axis = 12 and a minor axis = 10?
The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
The standard form of an ellipse with horizontal major axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where a > b
since a = 12, b = 10, hence:
[tex]\frac{x^2}{12^2}+\frac{y^2}{10^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
Find out more on ellipse at: https://brainly.com/question/19507943
I NEED HELP PLZZ, can someone help me out w/ this question plz?
Answer:
both of them are correct !
-1/1 = 0
and -1+1 = 0, and 0/-1 equals 0
Step-by-step explanation: