Describe how
factoring can help you find the x-intercepts
of the graph of the quadratic function
y=x2 - 4x + 3.
Answers
The x-intercepts of the graph of the quadratic function is 1, 3.
What are quadratic equations?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0
Now the quadratic function is,
y = x² - 4x + 3
Now for x-intercepts, y = 0.
⇒ x² - 4x + 3 = 0
Factoring we get,
⇒ x² - 3x - x + 3 = 0
⇒ x(x - 3) - 1(x - 1) = 0
⇒ (x - 1) (x - 3) = 0
Thus we get,
x = 1, 3
this is the required x-intercepts of the graph of the quadratic function.
Thus, the x-intercepts of the graph of the quadratic function is 1, 3.
To learn more about intercept :
https://brainly.com/question/11017924
#SPJ2
Related Questions
What is the constant rate of change shown in the graph below?
Answers
Answer:
It will go up 3 each time
Step-by-step explanation:
If u look at it and look at the dots it will show how it goes up 3 each time
Answer: 3 up
Step-by-step explanation:
What is the product of (7/8) (-16) (-7) (-1/14) ?
O A. -7
O B. -9/16
O C. -1/7
O D 23/12
Answers
Answer:
-7
Step-by-step explanation:
Answer:
hello guys ^_^ its -7 and if it is wrong don't be afraid to tell me
~your friendly austrailian~
three students share a bag of garri in such a way that the first student took ¼ of the garri and the second ¾ of the remainder. what fraction of garri did the third student take?
Answers
I’m pretty sure this is the answer
explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?
Answers
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.
List three different examples of rational numbers
Answers
Answer:
5, 1.75, .001, and -0.1
Step-by-step explanation:
Number As a Fraction Rational?
5 5/1 Yes
1.75 7/4 Yes
.001 1/1000 Yes
−0.1 −1/10 Yes
Hope this Helps (✿◡‿◡)
P.S I got this off the internet.
Every Halloween, trick-or-treaters love going to Gabe's house to see his spooky decorations and get some of his delicious caramel chews. Gabe gives a group of 3 kids a total of 6 caramel chews. He gives a group of 5 kids 10 caramel chews. In this relationship, x represents the number of kids in a group, and y represents the total number of caramel chews Gabe gives to that group.
Answers
Answer:
y = 2x
Step-by-step explanation:
Since we are told what to find, we can find the equation of the line that models the statement.
Using the equation of a line
y = MX+c.
m is the slope
c is the intercept
x represents the number of kids in a group (slope)
y represents the total number of caramel chews Gabe gives to that group.
If Gabe gives a group of 3 kids a total of 6 caramel chews and he gives a group of 5 kids 10 caramel chews, we can represent this as coordinate points;
(3,6) and (5,10)
Get the slope
M = 10-6/5-3
M = 4/2
M = 2
Get the intercept by substituting m= 2 any of the points (let's use (3,6)) into the expression y = MX+c to get the value of c;
y = MX+c
6. = 2(3)+c
c = 6-6
c = 0
Substitute m = 2 and c = 0 to get the required equation
y = MX+c
y = 2x+0
Hence the equation that models the statement is y = 2x
9 x 7 = ( x 7) – (1 x 7)
= 70-
=
Answers
Answer:
63
Step-by-step explanation:
9x7=(10x7)-1x(7)
=70-7
=63
The corporate team-building event will cost $8 if it has 4 attendees. If there are 9 attendees, how much will the corporate team-building event cost? Solve using unit rates.
Answers
Answer:
18$ for 9 attendees
Step-by-step explanation:
Using the feasible region below, determine which x and y values will maximize the profit, P, in the equation P = 40x + 55y * 1 point
A(0, 500)
B(300, 400)
C(380, 200)
D(400, 0)
E None of the Above
Answers
Answer:
B (300, 400)
Step-by-step explanation:
The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :
P = 40x + 55 y
A - When x = 0 , y = 500
P = [40 * 0] + [55 * 500]
P = 27500
B -
When x = 300 , y = 400
P = [40 * 300] + [55 * 400]
P = 34000
C -
When x = 380 , y = 200
P = [40 * 380] + [55 * 200]
P = 26200
D -
When x = 400 , y = 0
P = [40 * 400] + [55 * 400]
P = 16000
can some one help me
Answers
Answer:
84 grams and 5 ounces
Step-by-step explanation:
because one ounce equals 28 grams, that means 3 ounces = 3 * 28 = 84
because 28 grams equals 1 ounce, 140 grams = 140 / 28 = 5 ounces
A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a
radioactive substance. After 40 hours, 75 mg of the substance remains. How many milligrams will
remain after 60 hours?
Answers
Answer:
We are given
Scientist begins with 150 milligrams of a radioactive substance
so,
we can use formula
we can plug Po=150
After 29 hours, 75 mg of the substance remains
so, at t=29 , P=75
we can plug it
now, we can solve for k
now, we can take ln on both sides
now, we can plug it back
and we get
we can plug t=33
we get
..............Answer
Step-by-step explanation:
Which of the following statements is not supported by the Venn diagram below?
A.) 13 Students know how to play the violin.
B.) More students know how to play the piano than the violin.
C.) 18 students know how to play the piano.
D.) One person knows how to play both the piano and the violin.
Answers
Answer:
A
Step-by-step explanation:
its supposed to be 14 know how to play the violin. Your answer is A
Answer:
C would be the answer
Step-by-step explanation:
Calculate the rate of change for each table and determine if the table is proportional
Answers
9514 1404 393
Answer:
tables A, B, E are proportional relationships
Step-by-step explanation:
Finding the rate of change involves finding the ratio of the difference of adjacent y-values to the difference of adjacent x-values. For this many tables and points, I find that to be exceptionally tedious, so I let a spreadsheet do the work.
For the four points, there are three ratios. In the attachment, each ratio is between the point on the same line and the point on the next line. Two conditions are required for the table to be proportional:
the rates of change must all be the samethe rate of change must be equal to the ratio of y to xThe green color identifies tables that are proportional.
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the exterior angle.
Answers
Answer:
1
Step-by-step explanation:
Answer:
Option 4
Step-by-step explanation:
This is a question on angles and their properties
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Nathan is a cat enthusiast! He currently cares for 4 different cats. He adopts 2
new cats every year. Write and graph an equation to represent how many
cats he will have after x amount of years.
Answers
y=4+2x
Explanation:
He starts with four. Every year he will gajn 2 cats. Multiply 2 by the number of years (x).
I GIVE BRAINIEST “What is the solution of a system of equations if the sum of the
equations is 0 = 2?”
Answers
Answer:
At the bottom!!
Step-by-step explanation:
y=2
2=0+x
x=2
Solution of a system of equations:A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. ... The solution to the system will be in the point where the two lines intersect.
Hope this helps!!
What is the constant proportionality, in dollars per granola bar
Answers
Answer:
4 granola bars is $9.00 12 granola bars is $27.00 24 granola bars is $54.00
Step-by-step explanation:
please graph y = -2x - 2
Answers
Answer:
(0,-2)
Step-by-step explanation:
AYUDA PLIS 1) Pablo compro un sobre de jugo que les costo $28,85, un alfajor por $85,50 y un helado. Si pago con $250 ¿Cuánto costo el helado? 2) Santiago compro una bolsa de alimentos para perros a $349,50, otra para gatos a $108,25 y pieritas sanitarias a $ 29,75. a- ¿Cuánto dinero gasto? b- Si pago con $600 ¿Cuánto le dieron de vuelto?
Answers
Answer:
1) El helado costó $135,65.
2) a) Gastó en total $487,5. b) Le dieron $112,5 de vuleto.
Step-by-step explanation:
1) Podemos encontrar el costo del helado como sigue:
[tex] T = J + A + H [/tex]
[tex] H = T - J - A = 250 - 28,85 - 85,50 = 135,65 [/tex]
Por lo tanto, el helado costó $135,65.
2) a) Para saber cuanto dinero gastó debemos sumar todos los precios:
[tex] T = B_{p} + B_{g} + P = 349,50 + 108,25 + 29,75 = 487,5 [/tex]
Entonces, gastó en total $487,5.
b) Si pagó con $600, su vuelto fue:
[tex] V = 600 - T = 600 - 487,5 = 112,5 [/tex]
Le dieron $112,5 de vuleto.
Espero que te sea de utilidad!
HELP ASAP I NEED HELP AND I'M DESPERATE.
Answers
Answer:
Blank 1. -2x+4
Blank 2. x+2
Step-by-step explanation:
A camera has a listed price $627.98 before tax. If the sales tax rate is 7.25%, find the total cost of the camera and it's sales tax included. Round your answer in the nearest cent, as necessary.
Answers
How are integers and rational
numbers different?
Answers
Answer:
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Step-by-step explanation: its not a number ☺️
Answer:
Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
Step-by-step explanation:
The terms even and odd only apply to integers; 2.5 is neither even nor odd. Zero, on the other hand, is even since it is 2 times some integer: it's 2 times 0. To check whether a number is odd, see whether it's one more than some even number: 7 is odd since it's one more than 6, which is even.
Another way to say this is that zero is even since it can be written in the form 2*n, where n is an integer. Odd numbers can be written in the form 2*n + 1. Again, this lets us talk about whether negative numbers are even and odd: -9 is odd since it's one more than -10, which is even.
A Smart TV is currently priced at $1330.00. If the store manager marks it down by 5%, how much will you save on the TV?
a
$1,396.50
b
$66.50
c
$1,263.50
d
$1,325.00
Answers
What makes a point a solution to a system of equation? 55 points
Answers
Answer:
A solution to a system of equations means the point must work in both equations in the system
Answer:
The point must work in both equations in the system, therefore, when we test the point in both equations, it must be a solution for both.
Step-by-step explanation:
Help ASAP PLEASEE ( FREE BRAINLIST:)...)
Answers
Answer:
10
Step-by-step explanation:
place when expense and income intersect
Answer:10
Step-by-step explanation:
A taxi service charges a flat rate for the first
3
miles of service. For any additional mileage, the taxi service charges an additional rate per mile,
x
. The expression
10
+
2.50
(
x
−
3
)
represents the scenario.
Which statement is true?
Answers
Answer:
The taxi charges $10 as the flat rate for the first 3 miles and $2.50 for each additional mile.
Step-by-step explanation:
i need help for this problem. thanks!
Answers
Answers:
x = 12
angle A = 30 degrees
===========================================================
Explanation:
Check out the attached image below.
Note the pair of (8x+4) angles which are congruent vertical angles.
Also, notice that 50+130 = 180 since those adjacent angles are supplementary. In other words, they form a straight line.
Now that we know the expressions for each interior angle, we add them up and set the sum equal to 180. Recall that for any triangle, the interior angles always add to 180.
Let's solve for x
(3x-6) + (8x+4) + (50) = 180
11x + 48 = 180 .... combine like terms
11x = 180-48 ..... subtract 48 from both sides
11x = 132
x = 132/11 ..... divide both sides by 11
x = 12
Use this to find the value of angle A
A = 3x-6
A = 3*12-6
A = 36 - 6
A = 30
For the sake of completeness, let's find 8x+4 as well. This part is optional
8x+4 = 8*12+4 = 96+4 = 100
The three interior angles of the triangle are: 30, 100, 50
Note how 30+100+50 = 180 to help confirm the answer.
The number or expression inside a radical symbol
Answers
Answer:
radicand
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The 2nd one or either the last one, I suggest the last one hope this helps!!
what’s 50/6 reduced to a mixed number????? please i need it it’s due in 10 mins
Answers
Answer:
8 1/3
Step-by-step explanation:
50/6 =25/3 = 8 1/3
Also can u pls mark me brainliest im new