Answers
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
Related Questions
Find the mode, median, mean and range for this set of data.
Number of Hours Slept: 8.5, 7,6.75,5.75, 8.75,6.25,7,7.5, 4.25
Answers
Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.
How to determine this
Mode is the value that has the highest frequency in a given data set.
So,
8.75 the highest frequency in the data set
Mode = 8.75
Median is the middle of a sorted list of numbers when arranged in ascending order.
So,
4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order
Median = 7
Mean is the average or the most common value in a given set of values.
Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9
Mean = 61.75/9
Mean = 6.8611
Mean = 6.86 to 2 decimal place
Range is the difference between the highest value and lowest values.
Range = Maximum value - Minimum value
Range = 8.75 - 4.25
Range = 4.5
Read more about Central Tendency
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You are given 3 positive numbers. You can add these numbers and multiply them together. The result you get will be the same. Which are the numbers?
Answers
Answer:
1, 2, 3
Step-by-step explanation:
If you add them, you get 6. Of you multiply them, (1 * 2 * 3 = 6) you get 6.
Hope that this helps!
A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π.
Answers
Answer:
188π in^2
Step-by-step explanation:
Surface area of the rocket = surface area of the cone + surface area of the cylinder
Surface area of a cone = πr(r+h^2+r^2)
r = 8/2 = 4 in
4π( 4 + 3^2 + 4^2) =
4π ( 4 + 9 + 16) = 116π in^2
Surface area of a cylinder = 2πrh+2πr^2
(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2
116 + 72 = 188π in^2
please help due tomorrow?!?!
Answers
Answer:
t = 0.0475p
Step-by-step explanation:
From the options provided, the answer would be ...
t = 0.0475p
Lets say Tonia's paycheck is 25,000 she needs to pay 5% of this to her 401k, meaning she should have 95% left
25,000 * 0.95 = 23,750
Now, 5% of this remainder goes to income tax which would be...
23,750 * 0.05 = 1,187.5
Now if we use the formula and plug in 25,000 for p which is Tonia's paycheck we see that we get the same income tax amount. Therefore, we know it is the correct formula.
t = 0.0475 * 25000
t = 1,187.5
You roll a number cube one time.
What is the probability of rolling a 5 or a 8?
Answers
Answer:
16 is probability
Step-by-step explanation:
Which is not a characteristic of the absolute value parent function?
A. It goes through the origin.
B. THe range is all real numbers.
C. The domain is all real numbers.
D. It is V-shaped
Answers
Answer:
B)Step-by-step explanation:
the range of y=|x| is not all real numbers its [0,inf)
the conjunction, x<3 and x>-1, may be written -1
Answers
===========================================================
Explanation:
The first thing to do is to swap the positions of the x < 3 and the x > -1
So you'll end up with x > -1 and x < 3
Now focus entirely on x > -1. Swap the left and right sides, and also swap the inequality sign. So we end up with -1 < x
That means the "x > -1 and x < 3" is the same as "-1 < x and x < 3"
From here, we collapse the two inequalities to form the compound inequality -1 < x < 3
We can say "x is between -1 and 3, excluding either endpoint".
The measure of angle R is ___ degrees, rounded to the nearest hundredth.
Answers
Answer:
R = 11.42º
Step-by-step explanation:
sin∅ = opp/hyp
sinR = 20/101
R = arcsin20/101
Use calculator
R = 11.421186274999285
Rounded
R = 11.42º
what would be the area of a square if it had the side length of 6 cm
Answers
Answer:
36
Step-by-step explanation:
since all sides are same, youd multiply 6x6 and that gets ya 36.
can 5,7 and 13 make a triangle
Answers
Answer:
No
Step-by-step explanation:
5+7=12
12>13 X
13+5=18
18>13 YES
13+7=20
20>5 YES
If all equations were true, it would make a triangle, but since only 2 are true, it doesn't make a triangle.
---
hope it helps
If L | | m and m<8 = 109°, what is m<5
Answers
Answer:
m∡5 = 71°
Step-by-step explanation:
m∡8 = m∡6
m∡6 + m∡5 = 180
180 - m∡6 = m∡5
180 - 109 = 71
Answer:
the measurement of angle 5 is 71
Step-by-step explanation:
m∡8 = m∡6
M∡6 + m∡5 = 180
180 - m∡6 = m∡5
180 - 109 = 71
Hope this helps :)
5c/6= 10
I need help for this its due soon ♀️
Answers
Answer:
Step-by-step explanation:
Answer:
c = 12
Step-by-step explanation:
find the slope of the line that passes through (-2,1) (7,1)
Answers
Answer:
0
Step-by-step explanation:
To find the slope of a line, we uses y2-y1/x2-x1:
y2-y1/x2-x1
1-1/7+2
0/9
0
The slope of the line is 0.
If u have any questions about what I did feel free to ask in the comments!
Answer:
Slope = 0
Step-by-step explanation:
Formula of finding the slope: (y₂ - y₁) / (x₂ - x₁)
=> So we can say:
(-2, 1) = (x₁, y₁)
(7, 1) = (x₂, y₂)
=> (1 - 1) / (7 - (-2))
=> (0) / (9)
=> 0
Slope of this line = 0
Hope this helps!
B is the midpoint of AC, if AB=2x+1 and BC= 3x-4, what is x? What is the measure of BC? What is the measure of AC?
Answers
Answer:
ayaw pag salig og brainly lods
Help find the value of x pls I’ll give brainleist. No links or I’ll report you
Answers
Answer:
x = 12
Step-by-step explanation:
The angles are supplementary and add up to 180
(8x - 20) + (8x + 8) = 180
Combine like terms
16x - 12 = 180
add 12 to both sides
16x = 192
Divide both sides by16
x = 12
Solve x + 2x = 12
x = .............................
Solve 2y – 1 = 13
y = .............................
2. Solve 4x 3 = 13
x = ……………
show steps please
Answers
Answer:
4
7
4 or 2.5
Step-by-step explanation:
x+2x=3x
12/3=4=x
13+1=14
14/2=7=y
13+/-3=16/10
16/4=4
10/4= 2.5
this one depends wether 3 is negative or positive
HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST
Answers
hello please help i’ll give brainliest
Answers
Answer:
Option B) His teachings became government philosophy.
Answer:
His teachings became government philosophy ..
hope it is helpful to you.
Plz help will mark brainliest
Answers
Answer:
Volume of sphere A = 128x (Approx.)
Step-by-step explanation:
Given:
Radius of sphere A = 2 x Radius of sphere B
Volume of sphere B = 16x
Find:
Volume of sphere A
Computation:
Volume of sphere = (4/3)(π)(r)³
Volume of sphere B = (4/3)(π)(r)³
16x = (4/3)(π)(r)³
16x = (4/3)(22/7)(r)³
16x = (88/21)(r)³
Radius of sphere B = 1.56∛x Approx.
Radius of sphere A = 2 x Radius of sphere B
Radius of sphere A = 2 x 1.56∛x
Radius of sphere A = 3.12∛x Approx.
Volume of sphere A = (4/3)(π)(r)³
Volume of sphere A = (4/3)(22/7)(3.12∛x)³
Volume of sphere A = (88/21)(30.37∛x)
Volume of sphere A = 127.27x
Volume of sphere A = 128x (Approx.)
Is
X 0 5 10 15
Y 0 25 100 225
Proportional or non proportional?
Answers
Answer:
non proportional
Step-by-step explanation:
From the table;
0 = 0
25 = 5^2
100 = 10^2
Since the y values are the output and x is the input, hence;
y = x²
Since the equation is quadratic, hence the table is non proportional
Write the coordinate of the image after dilation of k=2
B(-3,9)
Answers
9. please please help me out ill mark you brainlist
Answers
Answer:
C. The scale factor is less than one.
Step-by-step explanation:
By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)
=
Fill in the blank. In the triangle below, zº = ?
Answers
Think about the rule that ALL triangles must have a sum of all angles to be 180°.
So 90°+42°=132°
180°-132°=48°
Feel free to check your work too!
90°+42°+48°=180°
So you’re answer is z°=48°
The measure of z in the triangle is 48.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The sum of the three angles in a triangle is 180.
So,
From the given triangle.
90 + 42 + z = 180
Solving for z.
z = 180 - (90 + 42)
z = 180 - 132
z = 48
Thus,
The measure of z in the triangle is 48.
Learn more about triangles here:
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volume of a cone is 48 pi cubic inches the cone has a height of 36 inches Mark finding the radius of the cone complete his work
Answers
Answer:
c or take the square root of both sides
a or 2 inches
Step-by-step explanation:
I need help ASAP . Brainlist will be given !!
Answers
Answer:
5,4 and 4,4
Step-by-step explanation:
Translate the sentence into an equation.
Twice the difference of a number and 8 equals 6.
Answers
Answer:
2(n-8)=6
n = 11
solve by system of equations:
2x+5y=-11
-8x-5y=-1
answer like this:
( _,_ )
Answers
Answer:X(2,-3)Y
Step-by-step explanation:
Pls help i know this should be easy but pls help i only have 1 point left after posting this
Answers
Answer:
I think it will be
1. integer
2. whole
3. rational
4. rational
I'm not sure but I think this is correct
Step-by-step explanation:
Find the circumference of the circle.
5 mi
The circumference is mi
Answers
Answer:
31.40
Step-by-step explanation:
Have a wonderful Day!!!
Answer:
31.4
Step-by-step explanation:
When solving for these circumference questions, you must know the formula. The formula for circumference is 2πr (r represents radius)
1. Multiply 2 x 3.14 x 5
2. You will get your answer of 31.4
It's not hard if you know the formula :)
Which expression is equal to x−9x−4+x2−x+5x−4 ? x2−x−42x−8 x2−42x−8 x2−x−4x−4 x2−4x−4
Answers
The resulting expression equivalent will be x^2 - 4x - 8
Equation and expressionGiven the expression
x−9x−4+x^2−x+5x−4
We are to find an equivalent expression
Simplify to have:
x−9x−4+x^2−x+5x−4
x^2 +x−9x - x + 5x - 4 - 4
x^2 - 4x - 8
Hence the resulting expression equivalent will be x^2 - 4x - 8
Learn more on expression here: https://brainly.com/question/22048677
