Graph the functions on the same coordinate axis. {f(x)=−2x+1g(x)=x2−2x−3
What are the solutions to the system of equations?
select each answer
(2, 3)
(−2, 5)
(2, −3)
(2, 5)
(−2, −3)
Answers
Answer:
(2,-3) and (-2,5)
Step-by-step explanation:
Let us graph the two equations one by one.
1. [tex]f(x)=-2x+1[/tex]
If we compare this equation with the slope intercept form of a line which is given as
[tex]y=mx+c[/tex]
we see that m = -1 and c =1
Hence the slope of the line is -2 and the y intercept is 1. Hence one point through which it is passing is (0,1) .
Let us find another point by putting x = 1 and solving it for y
[tex]y=-2(1)+1[/tex]
[tex]y=-2+1 = -1[/tex]
Let us find another point by putting x = 2 and solving it for y
[tex]y=-2(2)+1[/tex]
[tex]y=-4+1 = -3[/tex]
Hence the another point will be (2,-3)
Let us find another point by putting x = -2 and solving it for y
[tex]y=-2(-2)+1[/tex]
[tex]y=+1 = 5[/tex]
Hence the another point will be (-2,5)
Now we have two points (0,1) ,(1,-1) , (2,-3) and (-2,5) we joint them on line to obtain our line
2.
[tex]g(x)=y=x^2-2x-3[/tex]
[tex]y=x^2-2x+1-1-3[/tex]
[tex]y=(x-1)^2-4[/tex]
[tex](y+4)=(x-1)^2[/tex]
It represents the parabola opening upward with vertices (1,-4)
Let us mark few coordinates so that we may graph the parabola.
i) x=0 ; [tex]y=y=(0)^2-2(0)-3=0-0-3=-3[/tex] ; (0,-3)
ii)x=-1 ; [tex]y=(-1)^2-2(-1)-3=1+2-3=0[/tex] ; (-1,0)
iii) x=2 ; [tex]y=(2)^2-2(2)-3 = 4-4-3 =-3[/tex] ;(2,-3)
iii) x=1 ; [tex]y=(1)^2-2(1)-3 = 1-2-3 =-4[/tex] ;(1,-4)
iii) x=-2 ; [tex]y=(-2)^2-2(-2)-3 = 4+4-3 =5[/tex] ;(-2,5)
Now we plot them on coordinate axis and line them to form our parabola
When we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs.
Answer:
so you dont have to suffer lol heres a screenshot
Step-by-step explanation:
Related Questions
Use the buttons below to build an equation with words and symbols.
Answers
Answer:
1. Length when found = length at birth + (age when found × growth each year); 2. 6.3 yr
Step-by-step explanation:
1. The word equation
Length when found = length at birth + (age when found × growth each year)
2. The calculations
5 m = 2.6 m + (age when found × 0.38 m/yr)
Do the multiplication first (PEMDAS)
5 m = 2.6 m + 0.38 × age when found m/yr
Subtract 2.6 m from each side of the equation
2.4 m = 0.38 × age when found m/yr
Divide each side by 0.38 m/yr
6.3 yr = age when found
The killer whale is 6.3 yr old.
what is the radical expression that is equivalent.
Answers
Answer:
[tex] 27^{\frac{1}{5}} = \sqrt[5]{27} [/tex]
Step-by-step explanation:
Rule of exponents:
[tex] a^{\frac{1}{n}} = \sqrt[n]{a} [/tex]
Apply the rule to this case:
[tex] 27^{\frac{1}{5}} = \sqrt[5]{27} [/tex]
In the figure below, what is the value of angle Z?
Answers
Answer:
=2.83 the second option
Step-by-step explanation:
Using the trigonometric ratios we can find the sides of the triangle with the acute angles.
In the triangle provided we will use COSINE
Cos ∅=adjacent/hypotenuse
Let us substitute with the values in the question into the formula.
Tan 45 =2/x
x=2/Cos 45
=2.83 units
Answer: SECOND OPTION.
Step-by-step explanation:
You can use the following identity:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
In this case:
[tex]\alpha=45\°\\adjacent=2\\hypotenuse=x[/tex]
Therefore, in order to calculate the value of "x", you need to substitute values into [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] and solve for "x".
This is:
[tex]cos(45\°)=\frac{2}{x}\\\\xcos(45\°)=2\\\\x=\frac{2}{cos(45\°)}\\\\x=2\sqrt{2}[/tex]
[tex]x[/tex]≈[tex]2.83[/tex]
If a quadrilateral has four sides that are all equal in
measure, then it may be a_
A ) Retangle
B) rhombus
C) trapezoid
D) pentagon
Answers
Answer: B. Rhombus.
Step-by-step explanation: B. Rhombus is the answer because a rectangle has 2 pairs of equal sides. A pentagon has 5 sides. A trapezoid doesn’t have all equal sides. A rhombus is like a squished square.
Which are the possible side lengths of a triangle?
3 cm, 5 cm, 9 cm
4 cm, 8 cm, 10 cm
6 cm, 9 cm, 17 cm
8 cm, 10 cm, 18 cm
Answers
The only option that is a triangle from the given options is; 4cm, 8cm, 10 cm
How to identify a triangle?A triangle is a plane shape with three sides which could all be equal or have 2 equal or have no equal sides.
Now, we know a triangle to be one if the sum of two smallest sides is greater than the longest side.
Thus, only option B can B a triangle because the sum of 4cm and 8cm is 12 cm which is greater than 10 cm.
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What is the total volume of glass used to make the award?
Answers
Answer:
204 in^3
Step-by-step explanation:
The volume of the base square is V=lwh.
When we substitute our givens, it becomes V=6(4)(2). This equals 48 in^3.
The volume of the triangle is V=.5lwh.
When we substitute our givens, it becomes V=.5(6)(4)(15-2). This equals 156 in^3.
When we add 48 and 156, we get 204 in^3.
Hope this helps :)
What is the sum of the measures of the interior angles of a regular polygon if leach exterior angle measures 120°?
Answers
Answer:
180
Step-by-step explanation:
180-120 = 60 this is one of all the congruent angles
of the top of my head i know a regular triangle has three 60 degree angles meaning it is 60*3 = 180
If a polynomial function f(x) has roots 0, 4, and 3+ sqrt11 what must also be a root of f(x)?
Answers
Answer:
[tex]3-\sqrt{11}[/tex]
Step-by-step explanation:
If you want rational coefficients then you would want the conjugate of any irrational zero given.
The question is equivalent to what is the conjugate of [tex]3+\sqrt{11}[/tex].
The conjugate of [tex]3+\sqrt{11}[/tex] is [tex]3-\sqrt{11}[/tex].
In general, the conjugate of a+b is a-b
or the conjugate of a-b is a+b.
Or maybe you like this explanation more:
Let [tex]x=3+\sqrt{11}[/tex]
Subtract 3 on both sides:
[tex]x-3=\sqrt{11}[/tex]
Square both sides:
[tex](x-3)^2=11[/tex]
Subtract 11 on both sides:
[tex](x-3)^2-11=0[/tex]
Use difference of squares to factor. I apply [tex]u^2-v^2=(u-v)(u+v)[/tex].
[tex]([x-3]-\sqrt{11})([x-3]+\sqrt{11})=0[/tex]
So you have either
[tex][x-3]-\sqrt{11}=0[/tex] or [tex][x-3}+\sqrt{11}=0[/tex]
Solve both for x-3 and then x.
Add sqrt(11) on both sides for first equation and subtract sqrt(11) on both sides for second equation:
[tex]x-3=\sqrt{11}[/tex] or [tex]x-3=-\sqrt{11}[/tex]
Add 3 on both sides:
[tex]x=3+\sqrt{11}[/tex] or [tex]x=3-\sqrt{11}[/tex]
Answer:
the answer is C.
Step-by-step explanation:
14% of 3540% of 35 equals what
Answers
Answer:
173.46Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}\\\\14\%=\dfrac{14}{100}=0.14\\\\3540\%=\dfrac{3540}{100}=35.40=35.4\\\\14\%\ of\ 3540\%\ of\ 35\to(0.14)(35.4)(35)=173.46[/tex]
PLEASE HELP!!! I NEED HELP URGENTLY
Answers
Answer:
You would click (1,-5)
Step-by-step explanation:
The absolute minimum is the lowest point of the graph.
In all graphs, if it says minimum, it almost certainly means that lowest point, and if there are more than one, you would simply click on those.
It does not matter how many points there are, only that they are the lowest.
Therefore, it would be 1,-5.
Answer:
Step-by-step explanation:
If you accept that this is a function or even a relationship then and is connected then the minimum should be (1,-5).
the perimeter of a 14 ft , 8 ft rectangle
Answers
The perimeter of a rectangle with sides of 14 ft and 8 ft is 44 ft.
Explanation:The perimeter of a rectangle is calculated by adding all its sides. For a rectangle with sides of 14 ft and 8 ft, the perimeter is found by adding twice the length and twice the width:
Perimeter = 2(length + width)
Perimeter = 2(14 + 8) = 2(22) = 44 ft
can someone help me plz
Answers
Answer:
B. & E.
Step-by-step explanation:
First, to find your slope, put your line into slope-intercept form.
[tex]y=mx+b\\[/tex]
[tex]3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4} x-\frac{7}{4}[/tex]
Your slope is [tex]\frac{3}{4}[/tex].
Now, you can find the y-intercept of your parallel line by plugging your given point and your slope into point-slope form.
[tex]y-y1=m(x-x1)\\y-(-2)=\frac{3}{4} (x-(-4))\\y+2=\frac{3}{4} (x+4)\\y+2=\frac{3}{4} x+3\\y=\frac{3}{4} x+1[/tex]
Your y-intercept is 1.
If you notice, answer choice E is equivalent to one of our steps in converting it to point-slope form. Therefore, E is one of your answers.
The equation of your parallel line is:
[tex]y=\frac{3}{4} x+1[/tex]
B is also a correct answer.
If you put B into slope-intercept form, you get the following:
[tex]3x-4y=-4\\-4y=-3x-4\\y=\frac{3}{4} x+1[/tex]
This, of course, is equivalent to the parallel line which we already found, so we know it is parallel.
hope it helps!
Which polynomial could have the following graph?
y = (x + 3)(x - 1)(x - 5)
y = (x - 3)(x + 1)(x + 5)
y = -(x + 3)(x - 1)(x - 5)
y = -(x - 3)(x + 1)(x + 5)
Answers
The graph shows the solutions:
x1 = -3 ⇒ x + 3 = 0
x2 = 1 ⇒ x - 1 = 0
x3 = 5 ⇒ x - 5 = 0
The polynomial follows: y = (x + 3)(x - 1)(x - 5)
.
Answer:
y= (x+3) (x-1) (x-5)
Step-by-step explanation:
The graph crosses the x axis at the points -3,1,5
These are also called the zeros
f(x) =k (x-a) (x-b) (x-c) .....
where a,b,c,... are the zeros of the function and k is a constant
f(x) = k * (x--3) (x-1) (x-5)
f(x) = k(x+3) (x-1) (x-5)
To help determine the value of k
Take another point at x = 0, we know the value is positive
f(0) = k(3) (-1) (-5)
f(0) = k(15)
That means k must be greater than 0 Looking at the graph, it should be around 1
f(x) = (x+3) (x-1) (x-5)
Use the graph to fill in the blank with the correct number. f(1) = ________ X, Y graph. Plotted points negative 3, 0, negative 2, 2, 0, 1, and 1, negative 2. Numerical Answers Expected!
Answers
Answer:
-2
Step-by-step explanation:
Within the provided points list for the graph, there is the coordinate (1, -2). Hence, by definition of a function and how to read graphs, f(1) is -2.
Explanation:In this scenario, you're being asked to read the value of f(1) from a given graph. The line passing through the listed points is irrelevant provided one of the plotted points has an x-coordinate of 1. You directly read this from the graph - not calculate it or interpolate it. The list of points you've provided includes (1, -2), so, in your case, f(1) = -2. This is exactly how you would refer to the y-value at x=1 on a visual graph.
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The difference of two numbers is 7. If the sum of the smaller number and the square of the larger number is 125, what is the larger number?
Answers
Step-by-step explanation:
x - y = 7...eqn 1
x^2 + y = 125...eqn 2
making y the subject of the formula in eqn 1
=> y = x -7...eqn 3
subst for y from eqn 3 in eqn 2
=> x^2 + x-7 = 125
=> x^2 + x - 132 = 0
=> (x + 12) (x -11) =0
x = 11 or -12
when x = 11, y = 4
when x = -12, y = -19
Answer:
The largest numbers is either -12 or 11
Step-by-step explanation:
Let the numbers be a and b and a be the largest number.
The difference of two numbers is 7
a - b = 7 ------------------------- eqn 1
The sum of the smaller number and the square of the larger number is 125
a² + b = 125 ------------------------- eqn 2
eqn 1 + eqn 2
a² + a - 132 = 0
( a + 12 ) (a - 11) = 0
a = -12 or a = 11
So the largest numbers is either -12 or 11
The number of lattes sold daily by two coffee shops is shown in the table.
Shop A Shop B
55 45
52 42
56 57
48 48
57 11
30 10
45 46
41 43
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
A: Mean for both coffee shops because the data distribution is symmetric
B: Median for both coffee shops because the data distribution is not symmetric
C:Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
B: Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Please help I literally could not find this answer ANY where else
Very important
Answers
Answer:
D.
Step-by-step explanation:
The data is symmetric for Shop A but not for Shop B ( note the values 10 and 11 for Shop B which are a lot lower than the other values).
Mean for Shop A and Median for Shop B.
Answer:
The correct option is B.
Step-by-step explanation:
The number of lattes sold daily by two coffee shops is shown in the table.
The data set for shop A is
55, 52, 56, 48, 57, 30, 45, 41
Arrange the data in ascending order.
30, 41, 45, 48, 52, 55, 56, 57
Mean of shop A is
[tex]Mean=\frac{\sum x}{n}=\frac{30+41+45+48+52+55+56+57}{8}=48[/tex]
[tex]Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{48+52}{2}=50[/tex]
The data set for shop B is
45, 42, 57, 48, 11, 10, 46, 43
Arrange the data in ascending order.
10, 11, 42, 43, 45, 46, 48, 57
Mean of shop A is
[tex]Mean=\frac{\sum x}{n}=\frac{10+11+42+43+45+46+48+57}{8}=37.75[/tex]
[tex]Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{43+45}{2}=44[/tex]
Both data distribution are not symmetric, so it is better to describe the centers of distribution in terms of median for both coffee shops. Therefore the correct option is B.
the order of matrix A + B is...
Answers
4 rows
1 column
Rows always come first, then columns
Answer:
[4, 1]
Step-by-step explanation:
Here we have four rows and one column, so the order of A + B is [4, 1].
Mary, Kevin, and Ahmad served a total of 126
orders Monday at the school cafeteria. Kevin served 6
more orders than Mary. Ahmad served 4
times as many orders as Kevin. How many orders did they each serve?
Answers
Answer:
Mary: 16
Kevin: 22
Ahmed: 88
Step-by-step explanation:
This could be written as the following formula.
Mary + Kevin + Ahmad = 126
and we know that
Mary + 6 = Kevin
Kevin * 4 = Ahmed
so Ahmed = (Mary + 6) * 4
When filling this in you get
Mary + Mary + 6 + (Mary + 6) * 4 = 126
Mary + Mary + 6 + 4Mary + 24 = 126
6Mary + 30 = 126
6Mary = 96
Mary = 16
So Mary served 16 orders.
Using the earlier formulas you get
Kevin = Mary + 6 = 16 + 6 = 22
Ahmed = Kevin * 4 = 22 * 4 = 88.
Now we just need to double check it.
Mary + Kevin + Ahmad = 16 + 22 + 88 = 126. Which matches what it should be.
The equations in the system below are parallel.
How many solutions does the system have?
no solution
one unique solution
two solutions
an infinite number of solutions
Answers
The two lines are parallel, which means they never touch, cross or meet.
Answer: No solution
Answer:
no solution
Step-by-step explanation:
Solve for x: 2 over 5 (x − 2) = 4x. (1 point) 2 over 9 9 negative 2 over 9 negative 9 over 2
Answers
ANSWER
[tex]x = - \frac{2}{9} [/tex]
EXPLANATION
The given equation is :
[tex] \frac{2}{5}(x - 2) = 4x[/tex]
We multiply both sides by [tex] \frac{5}{2} [/tex]
[tex] \frac{5}{2} \cdot\frac{2}{5}(x - 2) = 4x \times \frac{5}{2} [/tex]
We simplify to obtain:
[tex]x - 2 = 10x[/tex]
Group similar terms to obtain:
[tex] - 2 = 10x - x[/tex]
Simplify the right hand side.
[tex] - 2 = 9x[/tex]
Divide both sides by 9.
[tex] \frac{ - 2}{9} = \frac{9x}{9} [/tex]
[tex] - \frac{2}{9} = x[/tex]
Or
[tex]x = - \frac{2}{9} [/tex]
The second choice is correct
The solution for [tex]x[/tex] is [tex]x = -\frac{2}{9}[/tex].
To solve the equation [tex]\frac{2}{5} (x - 2) = 4x[/tex], we need to perform the following steps:
Distribute the Fraction:
We start by distributing [tex]\frac{2}{5}[/tex] to both terms inside the parentheses:
[tex]\frac{2}{5}x - \frac{2}{5} \cdot 2 = 4x[/tex]
This simplifies to:
[tex]\frac{2}{5}x - \frac{4}{5} = 4x[/tex]
Isolate the Variable:
Next, we want to get all terms involving [tex]x[/tex] on one side. We can do this by subtracting [tex]\frac{2}{5}x[/tex] from both sides:
[tex]-\frac{4}{5} = 4x - \frac{2}{5}x[/tex]
Now, we can combine the [tex]x[/tex] terms on the right:
[tex]4x - \frac{2}{5}x = \left(4 - \frac{2}{5}\right)x = \left(\frac{20}{5} - \frac{2}{5}\right)x = \frac{18}{5}x[/tex]
Thus, we have:
[tex]-\frac{4}{5} = \frac{18}{5}x[/tex]
Solve for x:
Now, we want to solve for [tex]x[/tex] by multiplying both sides of the equation by the reciprocal of [tex]\frac{18}{5}[/tex], which is [tex]\frac{5}{18}[/tex]:
[tex]x = -\frac{4}{5} \cdot \frac{5}{18} = -\frac{4}{18} = -\frac{2}{9}[/tex]
Given the multiple-choice options of [tex]\frac{2}{9}[/tex], [tex]9[/tex], [tex]-\frac{2}{9}[/tex], and [tex]-\frac{9}{2}[/tex], the correct answer is negative 2 over 9.
use the quadratic formula to find the solutions to the equation x^2-3x+1=0
Answers
Answer:
[tex]x_{1}=\frac{+3+\sqrt{5} }{2}\\\\x_{2}=\frac{+3-\sqrt{5} }{2}[/tex]
Step-by-step explanation:
Using:
[tex]x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}[/tex]
we will have two solutions.
x^2-3x+1=0
So, a=1 b=-3 c=1
[tex]x_{1}=\frac{+3+\sqrt{-3^{2}-4*1*1} }{2*1}\\\\x_{2}=\frac{+3-\sqrt{-3^{2}-4*1*1} }{2*1}[/tex]
We have two solutions:
[tex]x_{1}=\frac{+3+\sqrt{5} }{2}\\\\x_{2}=\frac{+3-\sqrt{5} }{2}[/tex]
The answer is in the picture below! :)
|
V
Find Sn for the given geometric series. Round answers to the nearest hundredth, if necessary.
A1= 0.28,a5 = 362.88, r = 6
Select one:
a. 435.4
b. 51.4
C. 311.08
d. 874.94
Answers
The sum of the geometric series is approximately 435.4, according to the formula for geometric series summation.
To find the sum (Sn) of a geometric series, you can use the formula:
[tex]\[ Sn = \frac{{a_1 \cdot (1 - r^n)}}{{1 - r}} \][/tex]
Where:
[tex]- \( a_1 \) is the first term\\- \( r \) is the common ratio\\- \( n \) is the number of terms[/tex]
Given:
[tex]\( a_1 = 0.28 \)\( a_5 = 362.88 \)\( r = 6 \)[/tex]
We need to find [tex]\( n \)[/tex]. Since [tex]\( a_5 \)[/tex] is the fifth term, we can use the formula for the nth term of a geometric series:
[tex]\[ a_n = a_1 \cdot r^{(n-1)} \][/tex]
Substitute the values we have:
[tex]\[ 362.88 = 0.28 \cdot 6^{(5-1)} \]\[ 362.88 = 0.28 \cdot 6^4 \]\[ 362.88 = 0.28 \cdot 1296 \]\[ 362.88 = 363.648 \][/tex]
So, [tex]\( n = 5 \).[/tex]
Now, plug the values into the sum formula:
[tex]\[ S_5 = \frac{{0.28 \cdot (1 - 6^5)}}{{1 - 6}} \]\[ S_5 = \frac{{0.28 \cdot (1 - 7776)}}{{-5}} \]\[ S_5 = \frac{{0.28 \cdot (-7775)}}{{-5}} \]\[ S_5 = \frac{{-2177}}{{5}} \]\[ S_5 = -435.4 \][/tex]
Since the sum of a series cannot be negative, the correct answer is option:
a. 435.4
Which of the following represents a function?
Answers
Answer:
Option D. is the answer.
Step-by-step explanation:
Option A.
From the table we can see that for the value of x = 3, there are two values of y (14 and 19).
Which is not possible for a function. It should be one to one.
So option A is not a function.
Option B.
In this option again we have two values of y = 0, -5 for the value of x = 3.
For a function values of x and y should be one to one.
Therefore, it's not a function.
Option C.
Here for x = -1, there are two values of y (y = -11 and 5).
Therefore, it's not a function.
Option D.
In the given graph we find that there are different values of y for every value of x.
Therefore, Option D is the answer.
f(x)=25x^2-10x+1
what is the value of the discriminant of f?
how many x-intercepts does the graph of f have?
Answers
The discriminant of the quadratic function f(x) = 25x² - 10x + 1 is equal to zero. Hence, the graph of this function has only one x-intercept.
Explanation:The student is asking for the value of the discriminant of the quadratic function f(x) = 25x² - 10x + 1 and the number of x-intercepts the function has. In a quadratic function ax²+bx+c, the value of the discriminant, denoted as D, is calculated using the formula D = b² - 4ac. In this case, a = 25, b = -10, and c = 1.
Therefore, the discriminant D = (-10)² - 4(.25)(1) = 100 - 100 = 0. The quadratic equation will have exactly one root if the discriminant is zero.
Thus, "the graph of the function f(x) = 25x² - 10x + 1 has one x-intercept".
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The value of the discriminant is 0, and the graph of \(f\) has one repeated x-intercept.
1. The value of the discriminant [tex](\(\Delta\))[/tex] of the quadratic function [tex]\(f(x) = 25x^2 - 10x + 1\)[/tex] is [tex]\(b^2 - 4ac\),[/tex] where a, b and c are coefficients in the quadratic equation [tex]\(ax^2 + bx + c = 0\)[/tex].
2. The number of x-intercepts the graph of \(f\) has is determined by the discriminant:
- If [tex]\(\Delta > 0\)[/tex], there are two distinct x-intercepts.
- If [tex]\(\Delta = 0\)[/tex], there is one repeated x-intercept (the graph touches the x-axis but does not cross it).
- If [tex]\(\Delta < 0\)[/tex], there are no x-intercepts (the graph does not intersect the x-axis).
1. Calculate [tex]\(\Delta\)[/tex]: In the given function [tex]\(f(x) = 25x^2 - 10x + 1\)[/tex], [tex]\(a = 25\),[/tex] [tex]\(b = -10\),[/tex]and [tex]\(c = 1\)[/tex]. Plug these values into the discriminant formula: [tex]\(\Delta = b^2 - 4ac\).[/tex]
[tex]\[\Delta = (-10)^2 - 4(25)(1) = 100 - 100 = 0\][/tex]
2. Analyze the number of x-intercepts based on \(\Delta\):
- Since [tex]\(\Delta = 0\)[/tex], there is one repeated x-intercept.
Therefore, the value of the discriminant is 0, and the graph of \(f\) has one repeated x-intercept.
Organizing a data set allows you to do each of the following except:
A. see important values in the data set
B. take up less space than when the data set is not organized
C. more easily see the maximum and minimum values in the data set
D. see if any data values are much larger or much smaller than other data values
Answers
Answer:
B. take up less space than when the data set is not organized
Step-by-step explanation:
Well, in this question, you can analyze one answer after the other.
In A see important values in the data set, this makes sense when determining mode and median of a data set.Median is the center value in a data set, while mode is the repeated value in the set.When data set is arranged from smallest to the largest, the median and mode can be seen clearly.These can be the important values in the data set
In C. More easily see the maximum and minimum values in the data set, is possible especially when data is arranged in an increasing order.The smallest value will start, where as the largest value will be at the end.This applies to D too.
However in B, it will depend with the manner you would like to analyze the data.For example organizing data using tables will make your data easy to understand and present your analysis.Another person will group the data in intervals to identify the frequency of in data set.So, you see, its not about space taken by data but how you would like to present your data when analyzing it.
Hope this helps.
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which of the following shows an element of the sample space for first rolling a number cube and then shooting a basketball? (X = make, O= miss)
A.) O, 2
B.) X, O
C.) 1, T
D.) 6, X
Answers
Answer:
option D
Step-by-step explanation:
As the sample space is for first rolling a number cube and then shooting a basketball, it should be a number n , and X/O
where n= 1,2,3,4,5,6
of the given options
A) 0,2 is incorrect as O of basketball is first and then there is 2
of cube
B) X,O is incorrect because both are from shooting basket ball
C)1,T is incorrect as T is not from the basketball.
only D is correct 6,X!
Option D.) 6, X correctly represents an element of the sample space for rolling a number cube followed by shooting a basketball, including an outcome of rolling a 6 and then making the shot
The question relates to an understanding of sample spaces in probability. The sample space is a set of all possible outcomes of a probability experiment. In this case, the experiment consists of two independent actions: rolling a number cube (commonly a six-sided die) and shooting a basketball with two possible outcomes (making a shot 'X' or missing 'O').
A correct element of the sample space would include one outcome from rolling the die (1 through 6) and one outcome from shooting the basketball (X or O). For example, rolling a 1 on the die and making the basketball shot (X) would be represented as (1, X). Therefore, the correct answer to the question is option D.) 6, X, which shows an outcome of rolling a 6 on the die followed by making the basketball shot
A student says that the measures of coterminal angles are never opposites of each other. Is the student correct?
Answers
Answer:
Wrong
Step-by-step explanation:
The student is wrong. Two angles are coterminal if and only if the difference between their measures is a multiple of 360°.
The difference between the angles 180° and –180° is 360°, and they are coterminal. Therefore the student is WRONG.
Answer:
The student is wrong. Two angles are coterminal if and only if the difference between their measures is a multiple of 360°.
The difference between the angles 180° and –180° is 360°, and they are coterminal. Therefore the student is WRONG.
Step-by-step explanation:
A squirrel is looking up to the top of a tree at a 35∘ angle of elevation. The squirrel to the base of the tree is 47 feet. Find the height of the tree. Round your answer to the nearest foot. The height of the tree is about feet.
Answers
Answer:
33 feet
Step-by-step explanation:
We can draw a triangle in this situation.
Note:
The height of the tree is the side "opposite" of the 35 angle. The squirrel's distance of 47 feet from the base of the tree is the side "adjacent" to the angle.
Which trig ratio relates "opposite" and "adjacent"?
It is Tan
Thus we can write and solve (let height of tree be h):
[tex]Tan(35)=\frac{h}{47}\\h=Tan(35)*47\\h=32.91[/tex]
To the nearest foot, the height of tree is about 33 feet
what are measures of central tendency
Answers
Answer:
Is a Mean, Median and Mode
Is also a summary statistics that presents the center point or typical value off a dataset.
Answer is attached in the image provided.
What is the end behavior of the graph of the polynomial function y = 10x9 – 4x?
Answers
The end behavior of the function y = 10x9 – 4x is such that as x approaches infinity, y approaches infinity, and as x approaches negative infinity, y approaches negative infinity. This is because the degree of the polynomial is odd and the leading coefficient is positive.
Explanation:The end behavior of a polynomial function describes what happens to the function values (y-values) as x approaches infinity and negative infinity. In your function, y = 10x9 – 4x, the highest power of x is 9, and it's coefficient is positive.
According to the rules of end behavior, if the degree (highest power) of the polynomial is odd, and the leading coefficient (the number in front of the highest power) is positive, as x approaches positive infinity, y also approaches positive infinity, and as x approaches negative infinity, y approaches negative infinity.
In simpler terms, this means that the graph of your function starts in the third quadrant (bottom-left) and ends in the first quadrant (top-right). Hence, the end behavior of this function can be described as: as x approaches infinity, y approaches infinity; and as x approaches negative infinity, y approaches negative infinity.
Learn more about End Behavior here:https://brainly.com/question/38443993
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Answer: C
Step-by-step explanation: the answer is C on edge :)