5. The table below represents a quadratic function: draw a graph plot points
What would be the axis of symmetry for the equation?
What is the vertex?
What are the roots?
What is the y-intercept?
Answers
Answer:
The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex. The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.
Step-by-step explanation:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
Related Questions
A
The length of Kathy's rectangular
garden is 4 feet more than the width. If
the perimeter of her garden is 40 feet,
what is the length of Kathy's garden?
Answers
Half the perimeter is the length + the width.
Let the width = x
The length is x + 4. ( 4 feet more than the width)
Now you have x + x + 4 = 20
Combine like terms:
2x + 4 = 20
Subtract 4 from both sides:
2x = 16
Divide both sides by 2:
X = 8
The width is 8 feet
The length is 8 + 4 = 12 feet
Answer:12
Step-by-step explanation:
because im smart
Use similar triangles and a proportion to find the length of the lake shown here.
(Hint: The side 92 m long in the smaller triangle corresponds to side of 92 m + 112 m = 204 m in the larger triangle.)
N= m
Answers
Answer: n = 152 m
Step-by-step explanation:
write a proportion to find n.
46/n = 92/204
n = 102 m
The length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.
What is similar triangle's proportion property?In the two similar triangle, the ratio of two sides of one triangle is equal to the ratio of corresponding sides of the other triangle.
In the figure shown,
The length of the base of the smaller triangle is 92 meters, The height of this triangle is 46 meters.The total length of the base of the larger triangle is,
[tex]112+92=204\rm\; m[/tex]
The height of this triangle is n meters, which is equal to the length of lack. Thus, by the similar triangle proportion property,
[tex]\dfrac{n}{204}=\dfrac{46}{92}\\n=\dfrac{46\times204}{92}\\n=120\rm\; meters[/tex]
Thus, the length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.
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Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
Answers
Answer:
x ≥ -1
y < 3
Step-by-step explanation:
Answer:
Inequality 1: x ≽-1
Inequality 2: x ≼ 3
HELP I NEED HELP ASAP
Answers
Answer:
I think its D
Step-by-step explanation:
You can rule out A and B because he would be able to throw it farther than 30 ft do that leaves C and D but davis Couldn't throw a 9.1 lb ball 30 ft so the answer is D
solve this f(x)=1/2|x-1|-1
Answers
Answer:
x1 = -1,x2 =3
Step-by-step explanation:
Select the ratio that is not equivalent to 6:16 PLZ AWNSER NOW
1. 3:8
2. 2 to 8
3. 24/48
Answers
Answer:
2. 2 to 8and3. 24/48Step-by-step explanation:
6:16 simplifies to 3:8, not to 2:8. And 24/48 simplifies to 1/2, not to 6:16.
I would appreciate it if you would please mark me brainliest! Have a blessed day!
[tex] \frac{1}{32} \times \frac{1}{2 {}^{4} } = ( \frac{1}{4} ) {2}^{x} find \: x[/tex]
tell this question
Answers
Answer: x=1/384
Step-by-step explanation: Hope this help :D
If a solution to a linear system of equations is no solution, then what must be true about the graph of the system?
Answers
Answer:
Step-by-step explanation:
The lines are parallel to one another.
A linear system of equations has no solution if the graphs are parallel and the two lines never meet.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
There can be one solution to a system of two linear equations, an infinite number of solutions, or no solutions at all. The number of solutions to a system of equations can be used to categorize it.
A system is deemed consistent if there is at least one solution to the problem. A consistent system is said to be independent if it only has one possible outcome.
Thus, a linear system of equations has no solution if the graphs are parallel and the two lines never meet.
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42 is how much greater then 27
Answers
Answer:
15
Step-by-step explanation:
42 - 27= 15
15 + 27 = 42
Therefore, 15 is the answer
please solve! thanks!
Answers
Answer:
uhm no
Step-by-step explanation:
Answer:
arc 1 = 108 degrees
angle 2 = 54 degrees
Step-by-step explanation:
180 - 72 = 108 (half circle -72)
draw a line from center of circle to tangent point.
this line is perpendicular to the tangent line.
all radii are equal.
then, triangle made with the new line is isosceles with two equal angles.
those angles are 36 degrees each (180 - 108 = 72, 72/2 = 36)
line drawn from center to tangent point is 90 degrees so:
90 - 36 = 54 degrees
Please help me
Without calculating, predict whether the area of the rectangle will be greater or less than 25 square meters if the length is 5.25 meters.
Answers
Answer:
depends on the other side, so... maybe
Step-by-step explanation:
If you have a rectangle and you know one side is 5.25, then if the perpendicular side looks about the same length or longer, then the area of the rectangle is at least 25.
Imagine you have a rectangle with a known base of 5.25, then if the rectangle is at least as tall as it is wide, then the area is over 25. If the rectangle is very close to a square then the area should be near 25, and if the rectangle is visually shorter than it is wide then the area is less than 25
me question
Javier is building a rectangular case that has a length of 28 centimeters, a width of 20 centimeters, and a height of 14 centimeters. He decides to
change the height to be 2 times the original height.
What will happen to the volume of the case when the height is changed? Enter the answer in the box to complete the statement.
The volume of the new case will be___times the volume of the original case. I’m
Answers
Answer: I got 3
Step-by-step explanation:
14 + 14 + 14 would give you 42. 28x20x24 = 23,520. (The original volume was 7,840) If you do 7,840x3 you would get 23,520 so the new volume would be 3 times higher
Rushi ran 7.35 miles on Monday and 2.29 miles on Tuesday. How many more miles did Rushi run on
Monday than Tuesday?
Answers
Answer:
5.06
Step-by-step explanation:
hope this helps!
helppppp!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
1.1(1.8)(2.5)=4.95
Fill in the table using this function rule.
y = -3x+5
x:
-4
-2
0
2
Answers
Answer:
x=5/3 or 2
Step-by-step explanation:
Use the figure to complete the proportion
?/h=h/?
Answers
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
why won't anybody help me?
Answers
Answer:
b. -4 an C then A
Step-by-step explanation:
hope this helps!
Answer:
It will be 4
Step-by-step explanation:
i know
y+1=2(x-4) graph the equation
Answers
M a t h w a y will help you my friend!
I was struggling with math and using it got me get back on track :)
T-T help me I can't think
Answers
Answer:
81 square inches
Step-by-step explanation:
area of a square= s^2
PLS PLS PLS HELP 100 POINTS no scamming
Answers
Answer:
parallelogram:
Hexagon:
Triangle:
Step-by-step explanation:
Answer:
uh what is scamming?????
Can someone help me the question is 3 7/5+ 6 7/8 (note these are mixed fractions
Answers
Answer:
11 11/40
Step-by-step explanation:
3 7/5 + 6 7/8 = 22/5 + 55/8 = 176/40 + 275/40 = 451/40 = 11 11/40
Which BEST describes a right prism?
A)
solid figure with two identical bases and triangular faces
B)
solid figure with two identical bases and identical triangular faces
C)
solid figure with two identical bases and rectangular faces
D)
solid figure with two identical bases and identical rectangular faces
Answers
Answer:
B
Step-by-step explanation:
Answer:
it's C
Step-by-step explanation:
because B is wrong
What is the principal square root of 16?
O A. 2
O B. -4
O C. -2
O D. 4
Answers
Answer:
D. 4
Step-by-step explanation:
We know that the square of (+4) is 16 and also for (—4) is 16. We normally takes interest in positive square value for a square root. Therefore, The principal square root of 16 is 4
Yo se que es eso si no pues ni modo XD
D.4
Help! 1/6 of 2 yards is how many feet?
Answers
Answer:
1 foot
Step-by-step explanation:
1 yard = 3 ft
[tex]2*1 yard= 2*3feet[/tex]
2 yards = 6 feet
[tex]\frac{1}{6}[/tex] (2 yards) = [tex]\frac{1}{6}[/tex] (6 feet)
So, [tex]\frac{1}{6}[/tex] of 2 yards is 1 foot.
6.4x+2.3=47.1 solve for x.
Answers
Answer:
x=7
Step-by-step explanation:
Answer:
X=7
Step-by-step explanation:
1.) Subtract 2.3 from both sides makeing it 6.4x= 44.8
2.) DIvide 6.4 on both sides making it X=7
- 7r - 3r - 8 = 24.
Answers
Answer:
24
Step-by-step explanation:
Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13ft above the ground and the base of the ladder is 4ft from the building, which equation below can be used to determine the length of the
Ladder needed to reach the window
A 42 + 139 = 2
В
4² + x² = 13²
С
132_4? = ?
D
132P = 42
Answers
Answer:
Step-by-step explanation:
we have a right triangle,
to find out the hypotenuse, h
H^2=13^2+4^2
H^2=169+8=177
The required equation would be x² = 13² + 4² which is determined by Pythagoras theorem that is used to the length of the Ladder needed to reach the window.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
What is Pythagoras theorem?Pythagoras theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
We have given that the window is 13ft above the ground and the base of the ladder is 4ft from the building
As per the condition, We have a right triangle.
To find out the hypotenuse x
By Pythagoras theorem,
⇒ x² = 13² + 4²
⇒ x² = 169 + 8
Therefore, the equation would be x² = 13² + 4²which is used to determine the length of the Ladder needed to reach the window.
Hence, the correct answer would be an option (A).
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Given that = 3.14, calculate the circumference of the circle with radius 10cm.
Answers
Using the circumference formula, we get that C=2(3.14)10=62.83
2 (y-1) ≥8
please answer
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
y ≥ 5
Step-by-step explanation:
Distribute
2y - 2 = 8
+2. +2
2y/2 = 10/2
y = 5
Find the missing angle
Answers
M 2: 49
M 3: 87
M 4: 44