Answers
Answer:
Axis is a vertical line at x = 2
Vertex is (2, -1)
y-intercept is (0, 3)
Solutions are x = 1 and x = 3
Step-by-step explanation:
To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y
Let us do that
Use x = -1, 0, 1, 2, 3, 4, 5
∵ y = x² - 4x + 3
∵ x = -1
∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8
→ Plot point (-1, 8)
∵ x = 0
∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3
→ Plot point (0, 3)
∵ x = 1
∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0
→ Plot point (1, 0)
∵ x = 2
∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1
→ Plot point (2, -1)
∵ x = 3
∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0
→ Plot point (3, 0)
∵ x = 4
∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3
→ Plot point (4, 3)
∵ x = 5
∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8
→ Plot point (5, 8)
→ Join all the points to form the parabola
From the graph
∵ The axis of symmetry is the vertical line passes through the vertex point
∵ x-coordinate of the vertex point is 2
∴ Axis is a vertical line at x = 2
∵ The coordinates of the vertex point of the parabola are (2, -1)
∴ Vertex is (2, -1)
∵ The parabola intersects the y-axis at point (0, 3)
∴ y-intercept is (0, 3)
∵ x² - 4x + 3 = 0
∵ The solutions of the equation are the values of x at y = 0
→ That means the intersection points of the parabola and the x-axis
∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)
∴ Solutions are x = 1 and x = 3
Related Questions
Edna runs at a speed of 9 miles per hour. How many miles per second is her speed?
Answers
Answer:
To convert any value in miles per hour to miles per second, just multiply the value in miles per hour by the conversion factor 0.00027777777777778. So, 65 miles per hour times 0.00027777777777778 is equal to 0.01806 miles per second. so the answer is 0.0025
Step-by-step explanation:
Find the average retail price for a 4-year old V6 four-door sedan with air conditioning, power mirrors, leather seats, power sunroof, and aluminum wheels. It has been driven 42,510 miles?
Answers
Answer:
$8502
Step-by-step explanation:
you need to gather a compilation of prices and add them all up. You then divide that total by the number of prices you gathered.
giving brainly
what is the equation of the line in slope intercept form
Answers
Answer:
y=3/2x-1
Step-by-step explanation:
Answer:
y=3/2x-1
Step-by-step explanation:
It goes up by 3 units and goes to the left by 2, 3/2. And the line intercepts the axis at -1.
Please help me!!!!!!!
Answers
9514 1404 393
Answer:
A) (-6, 8)
B) (x, y) ⇒ (-x, y)
Step-by-step explanation:
B) The rule for reflection across the y-axis is that the x-coordinate changes sign:
(x, y) ⇒ (-x, y)
__
A) To find the pre-image point, one can simply reflect the image back across the y-axis:
A'(6, 8) ⇒ A(-6, 8)
A student club started a fundraising effort to support animal rescue organizations. The club sent an information flyer home to the rt students in the school. It says, "We welcome donations of any amount, including any change you could spare!" Their goal is to raise T' dollars, and to donate to a cat shelter and a dog shelter, On the next page, match cach quantity to an expression, an equation, or an inequality that describes it The dollar amount the club would have if they reached one-fourth of their goal. The dollar amount the club would have revery student at the school donated a quarter to the cause. The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter. The dollar amount the club would still need to raise to reach its goal after every student at the school donated a quarter. The dollar amount the club would have all three-fourths of the students at the school each gave 50 cents 3
Answers
Answer:
1. 0.25T
2. 0.25n
3. T - 0.25T
4. T - 0.25n
5. 0.75n × 0.5
Step-by-step explanation:
1. The dollar amount the club would have if they reached one-fourth of their goal.
Since the goal is to raise T dollars
One-fourth of T = ¼ × T = 0.25T
2. The dollar amount the club would have if every student at the school donated a quarter to the cause.
Let the number of students in the school be n
Since there are n students in the school, amount raised = ¼ × n = 0.25n
3. The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter.
Since they reached their goal, the total amount they raised= T dollars
They gave a quarter of the total donation to a dog shelter = ¼T = 0.25T
Amount left to donate to the cat shelter = T - 0.25T
4. The dollar amount the club would still need to raise to reach its goal after every student at the school donated a quarter.
Amount donated if every student donated a quarter = ¼n = 0.25n
Amount still needed = T - 0.25n
5. The dollar amount the club would have if three-fourths of the students at the school each gave 50 cents
Three-fourths of the students = ¾n = 0.75n
50 cents = 0.5 dollars
Amount raised if three-fourths of the students gave 50 cents = 0.75n × 0.5
In a seminar of 1200 people, 65 percent were women, How many men were in the seminar?
Answers
Answer:
420
Step-by-step explanation:
If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.
Answer:
Step-by-step explanation:
The answer is 420
(-9z - 8) - (4z - 7)
Answers
Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+15y=-15
Answers
Answer:
y = -6/15x -1
Step-by-step explanation:
subtract 6x on both sides 15y = -6x -15
divide 15 on both sides y = -6/15x -1
Answer:y=-2/5x-5
Step-by-step explanation:
trust me
At Maxx Middle School, there are 30 times as many students as teachers. If there are 450 students, how many teachers are there?
pls include the equation.
Answers
Equation = 450/30 = 15 teachers
Answer:
15 teachers
Step-by-step explanation:
the velocity of a falling body varies directly as the time of flight if the velocity of the falling body at the end of two seconds is 64.4ft/s find the velocity at the end of 5 seconds
Answers
Answer:
Step-by-step explanation:
If the velocity of a falling body varies directly as the time of flight, this is expressed as;
v α t
v = kt
k = v/t
If at t = 2secs, v = 64.4ft/s
k = 64/2
k = 32 ft
To get the velocity at the end of 5 secs, we will say;
at t = 5secs v = ?
From the formula;
v = kt
v = 32(5)
v = 160ft/s
Hence the required velocity is 160ft/s
helpppppp. (the other one cut out is multiplication property of equality)
Answers
Answer:
The second step is Distributive Property and the third is Subtraction Property of Equality
Step-by-step explanation:
The 1/2 is being distributed in the second step making the 8x to 4x and the 6 to 3.
The third step involves the subtraction of "x" from the right hand side and the left hand side.
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.
Answers
Answer:
why is your profile therealeisha1
Step-by-step explanation:
i love her so much
Letf(x)=(x+2)2. Letg(x)=3(x+2)2. Which statement describes the graph of g(x) with respect to the graph of f(x)?
Answers
Answer:
I say two.
Step-by-step explanation:
what are those equations simplified
Answers
2. 13d^3g^6
3. c^2m^4p^6
4.5k^6m^2
divide 70 in the ratio 2:5
Answers
Answer:
Step-by-step explanation:
20:50
Please look at number 13. and use the slope and write the equation for me
Answers
Answer:
y - y1 = m(x - x1)
(x1, y1) = (1, -1) (x2, y2) = (3, 5)
m = [tex]\frac{5 - (-1)}{3 - 1}[/tex]
m = [tex]\frac{5 + 1}{3-1}[/tex]
m = [tex]\frac{6}{2}[/tex] = [tex]\frac{3}{1}[/tex] = 3
m = 3
y - 5 = 3(x - 3)
y - 5 = 3x - 9
y = 3x - 9 + 5
y = 3x - 4
Step-by-step explanation:
In order to use point-slope form to convert to slope-intercept form you have to know one point and the value of the slope. In this case, we know two points, but we don't know the slope. In order to find the slope, you can input the values of the two points into the expression: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
After finding the slope, input the values of one of the points (in this example I used (3,5)) and the slope. After that, multiply the slope by the two terms inside the parentheses. then add 5 to both sides of the equation to isolate y. Now your equation is in slope-intercept form.
I hope this helps :)
Please Help & Please Answer This Correctly(Worth 20 Points!)
If only one-quarter of the earth's surface is not covered by bodies of water, and only one half of that exposed land area is inhabitable for humans (because of poles, deserts, etc.), what fraction of the earth's surface can humans live on?
Answers
Answer:
So on the one hand, you could say from these results that 10% of Earth is inhabited by humans. Or you could take a more glass half-empty view and say that 90% of Earth is covered by humans – either populated or connected with an ever-expanding network of roads, train tracks, highways, farms and industrial land.
Step-by-step explanation:
True or false is a relation in which each y value has only 1 x value
Answers
Answer:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
Step-by-step explanation:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
The reason is very clear that we can not have the repeated x-values (two same x-values).
For example, given the set of the ordered pairs of a relation
{(3, a), (6, b), (6, c)}
As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.
In order to be a function, a relation must have only 1 x-value for each y-value.
Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.
pls help me
(answer choices)
a: 134
b:46
c:136
d:43
Answers
Answer:
i wanna say its 136 but im not completely sure
I hope this helps!!!
Which of the following relations is a function?
A: {(0, 0), (0, 2), (0,5)}
B: {(2, 5), (2,0), (0,5)}
C: {(5, 2), (2, 5), (5, 0)}
D: {(0, 0), (2, 0), (5,0)}
Answers
DOMAIN: {0, 2, 5}
RANGE: {0,0,0}
What is the arc length of an arc of a circle with dialneter of 10 and a central angle of 50°.
251
Answers
Answer:
The arc length is 4.36332.
121 ÷ (-11)
plz help asap
Answers
Answer:
-11
Step-by-step explanation:
Multiply two negatives and you get a positive so
-11 x (-11) = 121
FIRST TO ANSWER WILL GET BRAINLIEST!
Answers
Answer:
I think your answer would be 12x - 2
If this is wrong then im sorry
Answer:
12x-2
Step-by-step explanation:
5x+1=JK
7x-3=KL
JL= JK + KL
= 5x+1+7x-3
=12x-2
therefore JL = 12x-2
Which number is missing from the following prime factorization expression? 792 = __ x 2 x 2 x 2 x 3 x 11 A. 2 B. 3 C. 5 D. 7
Answers
Answer:
3
Step-by-step explanation:
Evaluate 2 x 2 x 2 x 3 x 11 (better written as 2·2·2·3·11, because "x" is a variable name, not a math operator).
2·2·2·3·11 = 8·33 = 264
Then divide 792 by this 264 to find the final factor:
final factor = 792/264 = 3
Then the prime factorization of 792 is 2·2·2·3·3·11
which we obtained by multiplying 2 x 2 x 2 x 3 x 11 by 3.
Answer:
i agree, 3 is the answer
Took same test
how many dimes equal the value of 6 quarters.show you step
Answers
Answer:
the answer to this complicated problem is 25
Answer:
15 dimes
Step-by-step explanation:
6 quarters= $1.50
$1.50 divided by 10 cents= 15 dimes
A worker has four different job offers, each with a contract for six years. Assuming the job descriptions are identical,
which offer will allow the worker to earn the most over six years?
O a starting salary of $49.000 with a 3% increase each year
O a starting salary of $51 000 with a 1% increase each year
O a starting salary of $48,000 with a 6% increase each year
a starting salary of $50,000 with a 2% increase each year
Answers
9514 1404 393
Answer:
$48,000 to start, with 6% raises
Step-by-step explanation:
The starting salaries are within a few percentage points of each other, so the majority of the difference in earnings will come because of the raises. The offer with the largest raise percentage is likely the best.
The earnings total can be figured as the sum of a geometric series with a first term of "starting salary" and a growth factor of (1+raise percentage). For starting salary 's' and raise percentage 'r', the total earnings in 6 years will be ...
S = s((1+r)^6 -1)/r
Here are the total earnings, in thousands, for each of the offers:
a) s = 49, r = .03, S = 316.95
b) s = 51, r = .01, S = 313.75
c) s = 48, r = .06, S = 334.82 . . . . best offer
d) s = 50, r = .02, S = 315.41
The worker can earn the most from a starting salary of $48,000 and 6% increases each year.
C) a starting salary of $48,000 with a 6% increase each year
Please help asap! Due tonight!
Answers
Answer:
Second choice, 3
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25
b^2 = 9 (square root both sides)
b = 3
8. The graph of a linear function is shown on the grid. Which equation is best represented by this graph? (A.2C)
a) y+2= 7/5(x+7)
b) y-2= 7/5(x-7)
c) y+2 = 5/7(x+7)
d) y-2 = 5/7(x-7)
Answers
Answer:
option A is correct if operation A is correct make me as brainleylist
Divide. Write your answer as a fraction or mixed number in simplest form.
9 1/3 • 7
Answers
Answer:
65 1/3 or 196/3
Step-by-step explanation:
9 1/3 can be written as 28/3 (9 times 3 plus 1)
28/3 times 7/1 (because any whole number can have a 1 as the denominator)
Multiply top to top and bottom to bottom
28 times 7/ 3 times 1
196/3
Simplify to
65 1/3 but 196/3 will work out as well
Nika baked three loaves of zucchini bread. Each loaf needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used?
4 + 4 + 4 = 12
5 + 5 + 5 = 15
4 + 4 + 4 = 16
17 + 17 + 17 = 51
Answers
Answer: It is A
Step-by-step explanation:
17/4 = 4 1/4
so each cake needs 4 1/4 cups of flower.
Now, the question asks what the best estimate of the total number of cups is.
It could be A or C because 4 1/4 is closer to 4, but...
we need to figure out if 4 1/4 + 4 1/4 + 4 1/4 (we need to make three cakes) is closer to 12 or 16.
4 1/4 + 4 1/4 + 4 1/4 = 12 3/4
Ask yourself: is 12 3/4 closer to 12 or 16?
12 3/4 is closer to 12 so the answer is A.