Graph g(x)=2x2−4x−16 Use the parabola
Answers
The parabola Refer the attached figure, x- intercepts are (4,0) and (-2,0)
Quadratic function = f(x) = 2x²-4x-16.
To find: The graph of the quadratic function using parabola tool?
First we find the vertex form of the equation.
f(x) = 2x²-4x-16
Where, a=2 ,b=-4 , c=-16
Vertex is V,
[tex]v=\frac{-b}{2a} , f(\frac{-b}{2a})\\\\\frac{-b}{2a} = \frac{4}{4} =1\\\\f(\frac{-b}{2a})=f(1)\\\\=-10[/tex]
So, The vertex of the equation is (1,-10).
Now, we find y- intercept by putting x=0 in the equation
[tex]y=2(0)^{2} -4(0)-16\\\\y=-16[/tex]
y- intercept (0,-16)
Now, we find x- intercept by putting y=0 in the equation.
[tex]2x^{2} -4x-16=0\\\\x^{2} -2x-8=0\\\\x^{2} -4x+2x-8=0\\\\x=4 \ and \ x=-2[/tex]
x- intercepts are (4,0) and (-2,0)
Placing all the points and plot a graph.
Refer the attached figure below.
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Related Questions
If f(x)=3x-9, what is f(5)?
Answers
Answer:
ok so
Step-by-step explanation:
plug it in
since x=5
it would be 5=3×5-9
which would give us 5=6x
Subtract
x=-1
X = y - 3
2x + y = 12
pls hurry i need badly
Answers
[tex] \huge \colorbox{yellow}{Question}[/tex]
[tex]x = y - 3[/tex][tex]2x + y = 12[/tex]
[tex] \huge \colorbox{yellow}{Answer}[/tex]
[tex]x = y - 3 \: (equation \: 1)[/tex]
[tex]2x + y = 12 \: (equation \: 2)[/tex]
Substituting the value of x in
( equation 2)
[tex]2x + y = 12[/tex]
[tex]2(y - 3) + y = 12[/tex]
[tex]2y - 6 + y = 12[/tex]
[tex]2y + y = 12 + 6[/tex]
[tex]3y = 18[/tex]
[tex]y = 18 \div 3[/tex]
[tex]y = 6[/tex]
Now we get y = 6
Substituting the value of y in
( equation 1 )
[tex]x = y - 3[/tex]
[tex]x = 6 - 3[/tex]
[tex]x = 3[/tex]
Now we get x = 3
[tex] \huge \mathsf\red{Final \: Answer}[/tex]
y = 6 x = 3What geometric figure would you get if you joined the endpoints of two rays and pointed the rats in opposite directions?
Pls help me ASAP, this is due today. I would really appreciate it.
Answers
unit 8 homework 4 geometry
Answers
Answer:
14. 44.8 feet
cos48=30/x
x=30/cos48
x=44.8
15. 2352 feet
tan12=500/x
x=500/tan12
=500/0.2126
x=2352
What is X equal to in this problem?
Answers
Answer:
28 degrees
Step-by-step explanation:
hello please help thanks
Answers
Answer: 2 one
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
Sinkholes are cavities in the ground that form when water erodes an underlying rock layer.
Solve for x
please help me an explanation is not needed if you don’t want to add it !
Answers
Answer:
70˚
Step-by-step explanation:
-9 + 10m = -5 + 6 solve for m
Answers
Answer:
m = 1
Step-by-step explanation:
-9 + 10m = -5 + 6
-9 + 10m = 1
10m = 1 + 9
10m = 10
m = 1
here is the last question from my pervious post
Ill give brainliest to whoever answers it right
Answers
Answer:
G
Step-by-step explanation:
Can someone please explain how to solve this? Thanks!
Answers
What is the equation of this
Answers
Answer:
it's correct
Step-by-step explanation:
What is the area? pleaseee helppppp
Answers
Answer:
A = 12 sq in
Step-by-step explanation:
A = bh/2
A = 6(4)/2
A = 12
A right triangle has legs that are 5 cm and 7 cm long what is the length of the hypotenuse
1.√12
2.√24
3.√74
4.√144
Answers
Answer:
3. 74
Step-by-step explanation:
The pythagorean theorem states that A^2 + B^2 = C^2 (with c being the hypotenuse). So to figure it out we can substitute into the equation.
5^2 = 25
7^2 = 49
25 + 49 = 74
So it would be the square root of 79. I hope this helps! :)
The length of the hypotenuse side of a triangle is √74. Therefore, the correct answer is option 3.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, a right triangle has legs that are 5 cm and 7 cm long.
Let the length of the hypotenuse side be x.
Now, x²=5²+7²
x²=25+49
x²=74
x=√74 units
Therefore, option 3 is the correct answer.
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Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $2.15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
Answers
*see attachement for diagram
Answer:
Sal would pay $93.53 to tile his entryway.
Step-by-step explanation:
Given:
1 unit = 1 foot
Tile cost = $2.15 per square foot
To find how much will lay to tile the entry way represented on the grid in the image below, we have to find the area of the entryway he wants to tile.
The entry way can be decomposed into a trapezoid and a parallelogram. The upper shape form the middle is a trapezoid while the down part from the middle is a parallelogram.
✔️Area of the trapezoid = ½(a + b)*h
Where,
a = 7 ft
b = 4 ft
h = 5 ft
Area of the trapezoid = ½(7 + 4)*5
= ½(11)*5
= 27.5 ft²
✔️Area of the parallelogram = b*h
b = 4 ft
h = 4ft
Area of the parallelogram = 4*4 = 16 ft²
✔️Total area of the entryway to be tiled = 27.5 + 16 = 43.5 ft²
✅Cost to tile 1 ft² = $2.15
Therefore, cost to tile 43.5 ft² = 2.15*43.5 = 93.525 ≈ $93.53
✅Sal would pay $93.53 to tile his entryway.
find the area of this figure.
Answers
Answer:
it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285
3V3
х
60°
Find the values of x and y. Write your answers in simplest form.
X=
y=
Answers
Answer:
X=3
y=6
Step-by-step explanation:
[tex]tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3[/tex]
-----------
[tex]sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6[/tex]
hope it helps...
have a great day!!
find the x-intercepts, use the zero product property, r(r+7)=0
Answers
9514 1404 393
Answer:
r = 0
r = -7
Step-by-step explanation:
There is no x in the equation, hence there are no x-intercepts.
__
If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.
The factors are r and (r+7).
The factor r is zero when ...
r = 0
The factor (r+7) is zero when ...
r +7 = 0 ⇒ r = -7
The "x-intercepts" are r=0 and r=-7.
Which of the following shows the correct order of the given numbers?
1 5/8, 1 3/10, 1.6
1.6, < 1, 5/8 < 1 3/10
1 3/10 < 1.6 < 1 5/8
1 5/8 < 1 3/10 < 1.6
Answers
Answer:
1 3/10 < 1.6 < 1 5/8
Step-by-step explanation:
All you need to do is because all the mixed numbers (even though one of them has a decimal, which could be converted to 1 3/5) have the same whole number, just put the fractional parts of the whole number from smallest to largest.
Graph a line with a slope of 5 that contains the point (-2,4).
Khan Academy
Answers
Answer:
Graph the point (-2, 4) and then use rise over run (Up 2 and right 5)
Step-by-step explanation:
y - y1 = m(x - x1)
y - 4 = 2/5(x + 2)
y - 4 = 2/5x + 4/5
y = 2/5x + 24/5
Which of the following is equal to 49x2−81?
(7x−9)2
(x+9)(x−9)
(7x+9)(7x−9)
(7x+9)2
Answers
Answer:
2
Step-by-step explanation:
can someone please help me
Answers
Answer:
Step-by-step explanation:
I think it’s -5
What is the formula for the area of a circle?
O A. A = 727
O B. A = 20
O C. A = terd
O D. A = 2
Answers
The original price of a packet of potato chips was $2.50. Now, 5 packets of potato
chips are sold at $10. What is the percentage discount of buying 5 packets of potato
chlps?
Answers
Answer:
it would be 20% off
Step-by-step explanation:
Find the 8th term of the geometric sequence 3, 9, 27, ...
Answers
Answer:
The geometric sequence given is:
3, 9, and 27
When provided with a geometric sequence we must first calculate the common ratio
r is obtained by dividing a term by its preceding term.
1) 9
---- = 3
3
2) 27
---- = 3
9
for the sequence
Common ratio r = 3First term a = 3n = 8The 8th term can be obtained through formula
n-1 (8 - 1)
T = ar = 3 × 3
n
7
= 3 × 3
= 3 × 2187 = 6561
la suma de los cuadrados de dos numeros
Answers
Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times
in between equally likely.
a) What is a probability that Chris changes a given tire in less than 9 min?
b) What is the probability that it takes between 9 min and 11.5 min?
c) What is the probability that it takes exactly 10 min?
Answers
Answer:
8 because I just guess 8
Step-by-step explanation:
because I that's all you need to know
In the equation 3x - 9 = 3, what is the first step we should do?
Answers
Anse
draw the line down the equal sign
Step-by-step explanation:
Answer:
Step-by-step explanation:
add 9 to both and then cancel out both 9s and add 3 and 9 together
How many cubic feet of water are in the pool?
Answers
Answer:
It depends on the size of the
Step-by-step explanation:
Like the width ,length and all that
give me the size of the pool and will assist
a person who is at least 65 years old is considered a senior citizen write an inequality that represents this situation. Let a represent the persons age
Answers
A is greater than or equal to 65 (sometimes the symbols don’t show up correctly)
There are small, medium, and large shirts in blue, white, or gray. How many different possible outcomes are there?
9
2
12
3
Answers
3 different sizes.
3 different colors.
Total outcomes: number of sizes x number of colors.
3 x 3 = 9
There are 9 total outcomes.
Answer:
9
Step-by-step explanation:
The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event: (M)(N).