The graph of the quadratic function x²+4x=-2x+16 is a parabola that crosses the x-axis at x=-8 and x=2. Correct option is (a).
What are zeros and graph of an quadratic equation?Let ax² +bx +c = 0 is an quadratic equation its zeroes are the values of x for which the Left hand side becomes zero.
To find zeroes we can use quadratic formula that is
x = (-b ±√(b²-4ac))/2
Graph of the quadratic equation are points ( x , y(x) )
where y(x) = ax² +bx +c
when x= t is zero of quadratic equation ax² +bx +c = 0
then y(t) = 0
(t, 0) points are points on the x-axis.
Given an quadratic equation
x²+4x=-2x+16 has roots x =-8 and x =2
This can we written as x² +6x -16 =0
The graph of this quadratic equation is given by (x, y(x))
where y = x² +6x -16 which is a parabola
for x= -8 and x= 2 , y(-8) =y(2) = 0
Then (-8,0) and (2,0) are points on this parabola which are at x-axis
Therefore, the parabola y = x² +6x -16 crosses the x-axis at x=-8 and x=2.Thus (a) is the correct option.
Also learn more about the quadratic equations from the link below:
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the population of China is about 1.4 x 10 ^ 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julies town? Please answer this in scientific notation
Answer:
200000
Step-by-step explanation:
I believe that 200000x7000 = 1400000000 (The answer to the China population equation), therefore should be correct. Hope this helped.
Question 7 (1 point)
Maria has a bank containing nickels, dimes, and quarters. In all there are 22 coins totaling $2.55. The number of dimes is 4 less than the
number of nickels and quarters combined. Find the number of nickels, dimes, and quarters in Maria's bank. Type your answer in that order
using numbers only.
x= number of nickels
y number of dimes
z = number of quarters
Blank 1:
Blank 2:
Blank 3:
Question 8 (1 point)
Suppose you invested $5000 in three different funds for one year. The funds paid simple interest of 8%, 10%, and 7% respectively. The total
interest at the end of the year was $405. You invested $500 more at 10% than 8%. How much did you invest in the 10% fund?
x= money invested in 8% fund
y-money invested in 10% fund
Answer:
answer for 8 is 1500
Step-by-step explanation:
A. It has point symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has reflectional symmetry with five lines of symmetry.
D. It has no rotational symmetry.
HELP WILL MARK BRAINLIEST.
Answer: C. It has reflectional symmetry with five lines of symmetry.
The five lines of symmetry are shown in the diagram below. Each line splits a flower petal in half. Each line also splits the entire flower in half. In other words, reflecting one half of a flower over any given line of symmetry, generates the other half of the flower.
The correct answer is C. The given figure has reflectional symmetry with five lines of symmetry.
Symmetry refers to the property of an object remaining unchanged when certain transformations are applied to it.
A. Point symmetry, also known as rotational symmetry, means that the object looks the same when rotated by a certain angle around a central point. However, a given figure does not have point symmetry since it does not look the same when rotated by any angle around a central point.
B. The statement that the flower has rotational symmetry with an angle of rotation of 120° is incorrect because, as mentioned above, it does not possess rotational symmetry.
C. The flower does have reflectional symmetry with five lines of symmetry. This means that the flower can be divided into five equal parts using five lines of reflectional symmetry, such that each part is a mirror image of the other.
D. The statement that the flower has no rotational symmetry is correct, as mentioned in A and B.
Therefore, the correct answer is C. It has reflectional symmetry with five lines of symmetry.
Learn more about reflectional symmetry here
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Which behavior would be unethical
A a regular hotel receives his favorite window table even though another reserved it
B a hotel has overbooked and made alternate for some of their confirmed guest
C a hotel offers discount rates in the off season
D a hotel offers different rates to corporate guest and individuals
The GCF of two whole numbers is the ________.
Which of the following are true statements about any regular polygon? Check all that apply.
Answer:
A regular polygon has these characteristics:
3 or more sidesClosed shapeA polygon can not have one or two sides because that would be a line. It must have more than three sides, or else it is not a polygon.
A polygon is always a closed shape - it can not be an open shape or else it would not be a polygon, it would be considered an outline.
Hope this helps you!
Answer:
the picture below should help
If y varies directly as x and y = 8 when x = 2, then does y = 3 when x = 12
Answer:
the initial statement is
y
∝
x
to convert to an equation multiply by k the constant
of variation
⇒
y
=
k
x
to find k use the given condition
y
=
3
when
x
=
2
y
=
k
x
⇒
k
=
y
x
=
3
2
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
3
2
x
2
2
∣
∣
∣
−−−−−−−−−−−−
when
x
=
8
then
y
=
3
2
1
×
8
4
=
3
×
4
=
12
Step-by-step explanation:
Which term does not represent the same data as the others?
range
output
x-value
second element
Answer: x-value
Step-by-step explanation:
the x-value is the input, domain and 1st element.
Answer:
x-value
Step-by-step explanation:
What is the value of x in this triangle?
Answer:
A is the answer
Step-by-step explanation:
3*30 is 90 2*30 is 60 and x*30 is 30 which means 90+60+30 equals 180
What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5? (1 point)
The solution to the problem is 16.
first, you must set up the equation.
[tex]4^4*\frac{4^3}{4^5}[/tex]
Then, simplify exponents.
256*[tex]\frac{64}{1024}[/tex]
Next, simplify the equation.
16
S = 4LW + 2WH; S = 84, L= 6, W= 3.
H=
Please I need help
Answer:
I got you
Step-by-step explanation:
96 = 4(5)(4) + 2(4)H
96 = 80 + 8H
96 - 80 = 8H
16 = 8H
16/8 = H
2 = H
Pleaseeeeeee help
I literally have no idea what to do
Answer:
1. x=π/6+πn, 5π/6+πn
2. x=2π/3+2πn, 4π/3+2πn, π+2πn
3. x=5π/6+πn, 5π/3+πn
4. 2+√3
5. -(√(2-√3))/2
I hope it’s clear enough but can some please help
Answer:
b
Step-by-step explanation:
hope this helps you! have a good day!
The GCF of 12 and 30 is ___
Answer:
it is 6
Step-by-step explanation:
That’s what they both can be multiplied by
I don't understand this...
Answer:
If x is 55, z is also 55. Now subtract, and boom! you get 15 degrees
Step-by-step explanation:
I think the whole triangle is 125* total, and has three sides, one smaller than the rest. Hope this helps!
what is the squared root of 64?
Answer:
8
Step-by-step explanation:
Answer:
the square root is 8
Step-by-step explanation:
1. Ms. Fox asked her class “Is the sum of 4.2 and √2 rational or irrational?” Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify you reasoning.
Answer:
correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sum doesn’t terminate or repeat
Please help me the picture is above I’ll mark as the brainliest, please just edit and write on the picture above and send it. Tank you. :)
Answer:
function is a parabola, with a lowest point of -4
Step-by-step explanation:
g(x)=x^-4
g(-3)= -3^2-4 = 9-4 = 5
g(-2)= -2^2-4 = 4-4 = 0
g(-1)= -1^2-4 = 1-4 = -3
g(0)= 0^2-4 = 0-4 = -4
g(1)= 1^2-4 = 1-4 = -3
g(2)= 2^2-4 = 4-4 = 0
g(3)= 3^2-4 = 9-4 = 5
i will give u brainliest
Answer: 0.14
Step-by-step explanation:
fourteen nundredths = 0.14
Answer:
is it 1400, 1000+400, or fourtenths hundreds srry if its not helpful im just confused but i tried T^T
Write each decimal as a mixed number in simplest form.
6. 3.6
7. 10.4
8. 2.11
Answer:
3 and 3/5
10 and 2/5
2 and 11/10
Step-by-step explanation:
PLEASE HELP ME AND WHILE YOUR HERE DOES ANYONE KNOW WHERE I CAN FIND HRW ANSWERS
Answer:
C
Step-by-step explanation:
thank me later :D
0(1234+ 556 +780 x 4859/8393 + 83931) =
Answer:
I'm pretty sure its 0...since anything multiplied by zero is 0
say we have ratios and i have to determine which one does not belong
12 : 18 2 to 3 6/9 18 : 21
so the ratio that does not belong is?
Answer:
18:21
Step-by-step explanation:
If you divide all of the ratios (12 divided by 18, etc) they all equal 0.66.. besides 18:21
Hope this helps!
I HAVE 2 MIN PLEASE HELP ME PLEASE
Answer:
The answer is -91. 7 times -13 is -91.
MARK ME BRAINLIEST!!
What is the slope of the graph?
slope = -3
slope = -1/3
slope = 1/3
slope = 3
Answer:
the Slope is 1/3
(correct me if I'm mistaken)
Answer:
-3
Step-by-step explanation:
You go up 3 and to the left 1
what is
5y+3=4y+8=146
Answer: y=15
Step-by-step explanation:
Solution for (5y+3)+(4y+8)=146 equation:
Simplifying
(5y + 3) + (4y + 8) = 146
Reorder the terms:
(3 + 5y) + (4y + 8) = 146
Remove parenthesis around (3 + 5y)
3 + 5y + (4y + 8) = 146
Reorder the terms:
3 + 5y + (8 + 4y) = 146
Remove parenthesis around (8 + 4y)
3 + 5y + 8 + 4y = 146
Reorder the terms:
3 + 8 + 5y + 4y = 146
Combine like terms: 3 + 8 = 11
11 + 5y + 4y = 146
Combine like terms: 5y + 4y = 9y
11 + 9y = 146
Solving
11 + 9y = 146
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 9y = 146 + -11
Combine like terms: 11 + -11 = 0
0 + 9y = 146 + -11
9y = 146 + -11
Combine like terms: 146 + -11 = 135
9y = 135
Divide each side by '9'.
y = 15
In the Everglades National Park in Florida, there are 200 species of birds that migrate. This accounts for !" of all the species of birds sighted in the park. A. Write an equation to find the number of species of birds that have been sighted in Everglades National Park. B. There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park? Explain.
Answer:
A)[tex]\frac{4}{7} y = 200[/tex]
B) There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280
Step-by-step explanation:
Total number of species of birds that migrate = 200
We are given that [tex]\frac{4}{7}[/tex] of all the species of birds are sighted in the park
a)Write an equation to find the number of species of birds that have been sighted in Everglades National Park.
Let y be the number of species of birds that have been sighted in Everglades National Park.
We are given that[tex]\frac{4}{7}[/tex] of all the species of birds are sighted in the park
So, [tex]\frac{4}{7} y = 200[/tex]
[tex]y = \frac{200 \times 7}{4}[/tex]
y=280
B)There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park?
So, There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280
Answer:
the one at the bottom
Step-by-step explanation:
A printing company needs to ship 7,000 team calendars to the city's basketball team.
The printing company can fit 700 calendars in each box. How many boxes will the printing company need to use?
Answer:
10
Step-by-step explanation:
first person who answer correctly gets a brainllest The perimeter of a rectangle is 64 feet. The length of the rectangle is 3 times the width of the rectangle. If w represents the width of the rectangle, the equation that represents the perimeter is 2 (3 w) + 2 w = 64. Which shows the first step that should be taken to verify that the width of the rectangle is 8?
Answer:
2(3(8))+2(8)=64
Step-by-step explanation:
Here, w represents the width of the rectangle,
∵ length of the rectangle is 3 times the width of the rectangle,
So, length = 3w,
Since, the perimeter of a rectangle, P = 2(length + width)
= 2(w + 3w)
= 2w + 2(3w)
If P = 64 feet,
⇒ 2w +2(3w) = 64
⇒ 2w + 6w = 64
⇒ 8w = 64
⇒ w = 8
Verification :
P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet
Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64
Note : a solution obtain from an equation is verified by substituting the value in the equation.
Answer:
im sorry this doesn't help but its not d
Step-by-step explanatio
If you can fit 50 people into one bus, how many buses would you need to transport 940 people? Show your work.
Answer: 19
Step 1: Divide.
940 ÷ 50 = 18.8
Step 2: Round 18.8 to the nearest one.
18.8 - 19
Answer to the question is 19.
Answer:
About 19 buses
Step-by-step explanation:
940/50 = 18.8 ≈ 19