Answer:
Summary:
Standard form allow us to quickly find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Step-by-step explanation:
The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.
Standard Form:
The standard form of a quadratic is:
[tex]ax^2+bx+c[/tex]
There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.
The leading coefficient a will tell us if the parabola curves upwards or downwards.
And the constant c will give us the y-intercept.
Vertex Form:
The vertex form of a quadratic is:
[tex]a(x-h)^2+k[/tex]
There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient.
The leading coefficient is given by a. Again, this tells us the orientation of the parabola.
And the vertex is given by (h, k).
Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.
Factored Form:
The factored form of a quadratic is:
[tex]a(x-p)(x-q)[/tex]
Where p and q are the zeros/roots/solutions of the quadratic.
Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.
The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.
Summary:
Therefore, each form of a quadratic equation has its own benefits.
Standard form allow us to find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Hence, depending on the question, each form can be useful in its own way.
whats -9+2345+5678+4567
Answer:
I got 12581
Step-by-step explanation:
Tyler swims at a constant speed, 6 meters every 4 seconds. How long does it take him to swim 114 meters?
Answer:
91.2 seconds
:)
Answer:
76 seconds (1:16 one hour and 16 minutes)
Step-by-step explanation:
You take the distance that he has to travel (114m) and you divide it by the distance you're given that he is moving at every time (6m). this gives us 19. Then you take that and multiply it by how many seconds it takes him to move the given 6m (4s), which gives us an answer of 76 seconds
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
slope word problems for slope
Answer:
number 10 (5/6)
Step-by-step explanation:
hope this helped ^^
At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, moisture in the air condenses into dew which freezes at 0 degrees Celsius and may damage the plants in the garden.
Answer:
no clue im stuck on it to
Step-by-step explanation:
Answer:
No Omar does not have to put the blanket
Step-by-step explanation:
The answer is No ,because since Omar only covers the plant when its below 0 , And when the temperature is 5 degrees Celsius at 4:00 pm and the temperature is predicted to decrease 0.5 degrees Celsius every two hours until 4:00 am. So 6 times 0.5 =3 so 5 - 3 = 2
Show work
4:00 pm Fact : And very two hrs 0.5 degrees .
5:00 pm 1
6:00 pm 2 = 0.5
7:00 pm 1
8:00 pm 2 = 0.5
9:00 pm 1
10:00 pm 2 =0.5
11:00 pm 1
12:00 pm 2 =0.5
1 :00 Am 1
2: 00 Am 2 =0.5
3:00 Am 1
4:00 Am 2= 0.5
If jim had 8 apples and you took 5 away and gave him two back how many apples do you have?
points (2, 5) and (-1, -4) and determine the equation of the line.
Solve the following system of equations.
6x + y = -3
6x + 5y = 9
please helpp
Answer:
x=3
y=-1
Step-by-step explanation:
Rate me brainliest pls
What’s the value for y?
O triplo de um número inteiro X, pode ser representado por?
Answer:
hola
Step-by-step explanation:
which would be an appropriate first step in solving the equation? 2(x+3)-5=9
Answer:
Distributing
Step-by-step explanation:
Order of opersations says to do parenthesis first so....
2(x+3)-5=9
we would distribute 2
2x+6-5=9
Answer: x=4
and wydm
What are the solutions to this quadratic equation?
-2x^2+x+4=0
Answer:
Well I got [tex]\frac{1}{4} plus or minus \sqrt{33}[/tex]
Step-by-step explanation:
1/4±[tex]\sqrt{33}[/tex]
Answer:
The person above is correct this is just confirmation
Step-by-step explanation:
consider the function f(x) =4x-5. What is the domain value that correspons to an output of f(x) = 11
what is 2710 divided by 759?
Answer:
3.57048748 or (rounded) 3.57 or 3.5
Step-by-step explanation:
2710 ÷ 759 = ?
2710
÷ 759
3.57048748
(Rounded) = 3.57 or 3.5
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
Someone please help me with this chart, I don’t understand it.
Answer:
The second one is (3 x 3 x 3 x 3) x (3 x 3)
Step-by-step explanation:
write 2 differnt inequalities that can be solved by adding 2 to each side and dividing each side by -12
Quick!!
Answer:
-12x - 2 < -62
-12x - 2 > 34
Step-by-step explanation:
1. Start with
x > 5
Multiply both sides by -12.
-12x < -60
Subtract 2 from both sides.
-12x - 2 < -62
2. Start with
x < -3
Multiply both sides by -12.
-12x > 36
Subtract 2 from both sides.
-12x - 2 > 34
Answer:
-12x - 2 < -62
-12x - 2 > 34
how do I compare y intercepts and rates of change.
Write a slope-intercept equation of the line that passes through the points (4,11) and (6,8).
IN ADDITION TO THE EQUATION, YOU MUST IDENTIFY THE SLOPE AND Y-INTERCEPT OF YOUR EQUATION TO GET FULL CREDIT.
Answer:
y=[tex]\frac{3}{-2}[/tex]x +17
Step-by-step explanation:
[tex]\frac{11-8}{4-6}[/tex]=[tex]\frac{3}{-2}[/tex]=slope
11=[tex]\frac{3}{-2}[/tex] *4 + C
11=-6 + C
17=C=Y-intercept
In isosceles triangle ABC the segment BD is the median to base line AC. Find BD if the perimeter of the triangle is 50m and the perimeter of ABD is 40 m
Answer:
BD = 15 m
Step-by-step explanation:
Mathematically, we can find the perimeter of a triangle by adding all of the sides
Mathematically, the line from the top vertix of an isosceles triangle is perpendicular to the base line
So what this mean is that it splits the base line into 2 equal parts
So, in this case, since AC is base;
AD = CD
Please check the attachment for diagrammatic representation
So from the diagram;
25-x + x + BD = 40
25 + BD = 40
BD = 40-25
BD = 15 m
Suzie scored 75% on her assignment. If she got 15 questions correct, how many total questions were on the assignment?
Answer:
20 Questions Total
Step-by-step explanation:
15 divided by 20 = .75 = 75%
Answer:
2
Step-by-step explanation:
What is the equation of the line that passes through the point (-6,6) and has an undefined slope ?
Answer:
x = -6
Step-by-step explanation:
Ill give brainlist.
Answer:
True
Step-by-step explanation:
(0,-1) lands on the y-axis
Answer:
the answer is false
Step-by-step explanation:
bc the line is not on 0,-1
hope this helped ^^
select the correct answer
Answer:
c
Step-by-step explanation:
What is 111/6 and 4 1/3 as an improper fractions?
Answer:
Step-by-step explanation:
111/6 = 37/2
4 1/3 = 13/3
What is the answer to 2x^2+9x-35
Answer:
There is a graph of the algebraic equation as well as the simplified form of the problem, hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
7 times 10 to the -7 power
Answer:
0.0000007 as a regular notation
or 7x10^-7 as scientific notation
1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85% (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%?
Answer:
She would need to make 5 consecutive free successful throws
Step-by-step explanation:
Equations
A basketball player wants to improve his percent of successful throws to 85%.
She currently has made 12 out of 15 free throws, which gives a success percentage of 12/15*100=80%
So, she needs a number of free consecutive free throws to increase that number to the desired target.
The percentage of success can be calculated as:
[tex]\displaystyle P=\frac{\text{successful throws}}{\text{total throws}}*100[/tex]
Let's assume x is the number of required consecutive successful throws. Since she has already thrown 15 times, out of which has had 12 successful throws, now she will have 15+x total throws and 12+x successes, thus the new percentage is:
[tex]\displaystyle P=\frac{12+x}{15+x}*100[/tex]
And this percentage must be equal to 85%, thus:
[tex]\displaystyle \frac{12+x}{15+x}*100=85[/tex]
a) The equation to represent the situation is:
[tex]\mathbf{\displaystyle \frac{12+x}{15+x}*100=85}[/tex]
b) Let's solve it.
Multiply by 15+x:
[tex]\displaystyle (12+x)*100=85(15+x)[/tex]
Dividing by 5:
[tex]\displaystyle (12+x)*20=17(15+x)[/tex]
Operating:
[tex]\displaystyle 240+20x=255+17x[/tex]
Subtracting 17x and 240:
[tex]\displaystyle 20x-17x=255-240[/tex]
Simplifying:
[tex]\displaystyle 3x=15[/tex]
Dividing by 3:
x = 5
She would need to make 5 consecutive free successful throws
The number of throws is an illustration of proportions.
The number of free throws to raise her percent to 85% is 5
(a) The equation
The proportion is given as: 12 out of 15.
Let the number of throws be n.
So, the proportion would be:
[tex]\mathbf{Proportion = \frac{12 + n}{15 + n}}[/tex]
To make 85% success, then the proportion must equal 85%.
So, we have:
[tex]\mathbf{\frac{12 + n}{15 + n} = 85\%}[/tex]
(b) The solution to the equation
In (a), we have:
[tex]\mathbf{\frac{12 + n}{15 + n} = 85\%}[/tex]
Express 85% as decimal
[tex]\mathbf{\frac{12 + n}{15 + n} = 0.85}[/tex]
Cross multiply
[tex]\mathbf{12 + n = 0.85(15 + n)}[/tex]
[tex]\mathbf{12 + n = 12.75 + 0.85n}[/tex]
Collect like terms
[tex]\mathbf{n -0.85n= 12.75 -12 }[/tex]
[tex]\mathbf{0.15n= 0.75}[/tex]
Divide both sides by 0.15
[tex]\mathbf{n= 5}[/tex]
Hence, the number of free throws to raise her percent to 85% is 5
Read more about proportions at:
https://brainly.com/question/21126582
hello can u help plz?
Answer:
slope would be 3 or 3/1
Step-by-step explanation:
I think i'm not totally sure it could be -3 or -3/1
I need to find out how many kilometers mikalea can run in 1 hour
Answer:
I think its 10km in 1 hour.
Step-by-step explanation:
mikaela is running 5mg in 0.5 hours, but your looking for an 1 hour so you double it.
Find the sum of QR
4x+33
Answer:
Step-by-step explanation:
Simplifying
4x + 5 = 33
Reorder the terms:
5 + 4x = 33
Solving
5 + 4x = 33
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 4x = 33 + -5
Combine like terms: 5 + -5 = 0
0 + 4x = 33 + -5
4x = 33 + -5
Combine like terms: 33 + -5 = 28
4x = 28
Divide each side by '4'.
x = 7
Simplifying
x = 7