Answers
Answer:
The vertex is -5/2 and -9/2
Step-by-step explanation:
I looked it up on math
way
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in the form (x, y);
a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.
The general form of a parabola is written in the form ax²+bx+c, which is a quadratic equation. While the vertex form of the parabola is written as y=a(x-h)² + k.
Given that the equation of the parabola is y = 2x² + 10x + 8. Now if we compare the general equation of the parabola with ax²+bx+c, the value of a, b, and c will be 2, 10, and 8, respectively.
Further, the vertex of the parabola can be written as,
h =−b/2a
h = -10 / 2(2)
h = -10/4
h = -2.5
k = -(b² - 4ac) / 4a
k = -[10² - 4(2)(8)] / 4(2)
k = (100 - 64) / 8
k = -36/8
k = -4.5
Hence, the vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).
Learn more about Quadratic Equations:
https://brainly.com/question/2263981
#SPJ2
Related Questions
Can you help me solve this please
Answers
9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
_____
Additional comment
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
find the slope
5x -3y = 18
Answers
Answer:
m=5/3
Step-by-step explanation:
Finally, add the areas of triangle A, rectangle B, and triangle C What is the total area of the polygon? Enter your answer in the box. The total area of the polygon is square inches.
Answers
Answer:
there is noo triangle for me to answer this quiestioon
Step-by-step explanation:
Answer:
no pic
Step-by-step explanation:
11 of 14
A train leaves at 14.54 and arrives at its destination at 15.47.
If the train travelled 66 km, what was it's average speed in km/h?
Give your answer rounded to 1 dp.
km/h
Answers
Answer:
74.7 km/h
Step-by-step explanation:
The computation of the average speed is shown below:
As we know that
Speed = Distance ÷ Time
where
Distance = 66 km
And, the time is from 14.54 to 15.47 is 53 minutes
So, the speed is
= 66 km ÷ 53 minutes
= 74.71698 kilometers per hour
= 74.7 km/h
can I get some help somebody? reward brainiest
Answers
Answer:
Step-by-step explanation:
1). x² - 8x
To convert this expression into a perfect square trinomial,
x² - 2(4x) + 4² = (x - 2)²
Therefore , 4² = 16 should be added.
Option (4) is the answer.
2). x² + 2x = 3
x² + 2(1)(x) = 3
x² + 2(1)(x) + 1 = 3 + 1 [By adding 1 on both the sides]
(x + 1)² = 4
x + 1 = ±2
x = -3, -1
Option (1) is the answer.
3). 3x²- 18x = 21
x² - 6x = 7
x² - 2(3x) = 7
x² - 2(3x) + 3² = 7 + 3²
(x - 3)² = 7 + 9
(x - 3)² = 16
x - 3 = ±4
x = -1, 7
Find the measure of each missing angle explain work
Answers
angle 2: 79 degrees
angle 3: 38 degrees
explanation:
angle 1: 180 - 90 - 38 = 52
angle 2: 180 - 63 - 38 = 79
angle 3: 90 - 52
does anyone know the answer by any chance?
Answers
PLEASE HELP !!
An advertising company charges $100 each time an advertisement is shown. It costs $200 to create the
advertisement. The cost to create the advertisement and show it x times is given by the function
C(x) = 100x+ 200.
Answers
Answer:
30
Step-by-step explanation:
1 plus 2 is 6 x 2 plus 5
Answer:
3
Step-by-step explanation:
500=100×+200
500-200=100×
300=100×
300/100=×
3=×
The graph of f(x) = x2 − 3x − 28 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, zero comma negative 28, and 7 comma zero
(−4, 0), (0, −28), (7, 0)
(−4, 0), (−1, −24), (0, −28), (3, −28), (7, 0)
(x, x2 − 3x − 28) for all real numbers
(x, y) for all real numbers
Answers
Answer:
C. (x, x2 − 3x − 28) for all real numbers
Function graphs are graphs of solution equations for y! In this instance, f(x) = x² -3x -28 is the graph.
Constructing a Function Graph:⇒f(x) = x² − 3x − 28
A group of all points in the plane of the form (x, f(x)) constitutes the diagram of a function f. The graph of f can also be defined as the graph of an equation y = f(x). As a corollary, a function's graph is a subset of an equation's graph.
Solving equation:
⇒f(x) = x² − 3x − 28
⇒f(x) = x² − (7−4)x − 28
⇒f(x) = x² − 7x+4x − 28
⇒f(x) = x(x −7) +4(x −7)
⇒f(x) = (x −7) (x+4)
Please find the attached file.
Find out more about the graph function here:
brainly.com/question/15165011
Please find x and a
Answers
Answer:
x = 36
a = 25
Step-by-step Explanation
By Pythagoras Theorem:
[tex]x = \sqrt{ {39}^{2} - {15}^{2} } \\ \\ x = \sqrt{1,521 - 225} \\ \\ x = \sqrt{1,296} \\ \\ x = 36 \\ \\ a = \sqrt{ {20}^{2} + {15}^{2} } \\ \\ a = \sqrt{400 + 225} \\ \\ a = 25 \sqrt{625} \\ \\ a = 25[/tex]
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. (2 points)
a
an = 2 • 3n - 1
b
an = 2 • (-3)n - 1
c
an = 2 • 3n
d
an = 2 • (-3)n + 1
Answers
Answer: C is the answer
(2x-3)(2x+7) trinomial
Answers
[tex]4[/tex][tex]x^{2}[/tex][tex]+8x-21[/tex]
Step-by-step explanation:
4x - 12 = 36 *
pls helppppppppppppppppp
Answers
36 + 12 = 48
48/4 = 12
Malala is following this recipe for bread rolls.
She uses 500 mL of water.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
480 g flour
12 g salt
6 g yeast
30 mL oil
600 mL water
Answers
Answer:
500ml water
400 g flour
2 g salt
5 g yeast
25ml oil
Step-by-step explanation:
I need help I can't find the answer.
Answers
Equation is :10x-31=59
59+31=90
90/10=9
Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.
Answers
Answer:
[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]
Alternative method:
[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]
Answer:
thr percent decrease is 15%
Step-by-step explanation:
you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%
Need help will give you the brainliest
Answers
Answer:
8q+2r
since all of the terms are to the first power, you can add them if they have the same term (so there are 5 indivudal q's and 3q so 8q)
Answer:
8q+2r
Step-by-step explanation:
please mark brainliest
PLS HELP!! What is the radius of a shape with a circumference of 8.9?
Answers
Answer: 1.42
Step-by-step explanation:
What percent of $44 equals $11
Answers
Hope this helpssss!!!!:)
Answer:
Step-by-step explanation:
11/44 = 1/4 = 0.25 = 25%
25% of $44 = $11
If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the dimensions of this field (Please help)
Answers
Answer:
210 by 120
Step-by-step explanation:
perimeter=2l+2w
length= 2w-30
width= w
2(2w-30+w) = 660
6w-60= 660
6w= 720
w=120
length= 2*120-30 = 210
I need help on this question :/
Answers
Answer: 50-50
Step-by-step explanation:
8.
50 in.
Write an expression for the perimeter in simplest radical
form
V8 in.
V8 in.
V18 in.
I a) 2V21 in.
I b) 12v2 in.
I c) 218 + 8V2 in.
d) They aren't like terms
Answers
Answer:
Do you want the perimeter of this shape?
Pls help with the first one thank you
Answers
Answer:
1) 54 is the answer
2) The shape is cube
What is the volume of the rectangle pyramid below 5 m 3 m 3 m
Answers
Answer: 3(5)(1/2)(3) = 45/2
Step-by-step explanation:
Answer:
15 cubic meters
Step-by-step explanation:
V = 1/3 · Area of Base x Height
V = 1/3 ·3² · 5
V = 3 · 5
question is attached
will give brainliest ty !!
Answers
Answer:
A. (2x, 2y)Step-by-step explanation:
Original figure: PQRTS
Dilated figure: P'Q'R'S'T'
Take one of the corresponding sides of the figure and find the scale factor:
SR = 2, S'R' = 4Scale factor is 4/2 = 2The dilation rule as per above is:
(x, y) → (2x, 2y)Correct option is A
Complete the table for the given rule
Answers
first y= 10/3
second y=8
The coordinate plane below shows a triangular region at sea between three islands. Each unit on the coordinate plane represents 10 miles
SEARCH REGION
sty
7
А
6
5
4
2
C
-8-7-6-5-4-3-2-191
3 4 5 6 7 8 >
B
-345
B
4
-5
-6
H=10 miles
-81
What are the area and perimeter of the triangular region? Choose all that are correct
Answers
Answer:
Step-by-step explanation:
A point in geometry is a location. It has no size i.e. no width, no length and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions. ... A plane extends infinitely in two dimensions
Check
Use the diagram to answer the question.
If m Z1 = 45°, which other angles have a measure of
45°? Check all that apply.
t
22
O 23
a
1
2
m 24
25
3
4
b
>>
26
5
6
Answers
Answer:
<5 and <4
Step-by-step explanation:
Corresponding angles are congruent.
<1=<5
Opposite Interior angles are also congruent.
Answer:
∠4 and ∠5
Step-by-step explanation:
Opposite interior and corresponding angles have the same measurement.
Which expressions are equal?
A. 2(x+3)+2x and 4x+3
B.3(x+2)+4xand 6x+6
C.5x+2(x+4) and 6x+8
D.4+5(x+2) and 5x+14
Answers
Answer:
Step-by-step explanation:
2(x + 3) + 2x
2x + 6 + 2x
4x + 6 and 4x + 3 not equal
3(x + 2) + 4x
3x + 6 + 4x
7x + 6 and 6x + 6 not equal
5x + 2(x + 4)
5x + 2x + 8
7x + 8 and 6x + 8 not equal.
4 + 5(x + 2)
4 + 5x + 10
5x + 14 and 5x + 14 are equal
Solve the system by graphing. x + y = 27 and y=x+3. The solution is ( , ).
Answers
Answer:
X=12 Y=15
Step-by-step explanation:
X+Y=27 (1)
Y=X+3 (2)
substitute (2) into (1)
X+X+3=27
2X=24
X=12
substitute X=12 into (2)
Y=12+3
Y=15
