Answer:
f(g(x) ) = (x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1) - 5
Step-by-step explanation:
f(x) = x³- 2x² + 3x - 5 g(x) = x² + x - 1
f(g(x))
f(x² + x - 1) substitute x² + x - 1 into each x term in using f(x)
(x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1) - 5
Enter the greatest common factor of 6 and 4
Answer: 2
Step-by-step explanation:
Help please I really need it
Answer:
d
Step-by-step explanation:
do 6 times 6
HELPP YALL! I WILL MARK BRAINIEST!! LOOK AT THE PICTURE!!
Answer:
Slope of the parrelel line: -2/3x
Slope of the perpendicular line: 3/2x
Step-by-step explanation:
Lets first put this into slope intercept form:
y = mx + b
9y = -6x - 1
y = -2/3x = 1/9
So our slope is -2/3x
If we have a line parrelel to this, it means it has the exact same slope, but a different b value.
So the slope of this parellel line would also be -2/3x
Next we need to find the slope of the perpendicular line.
This is the exact opposite of our slope.
To find this, lets first understand our slope.
Our slope is the change in y over the change in x:
Δy/Δx
A perpendicular line is going to be the flipped, and negative of this.
You can think of a perpendicular line being:
-Δx/Δy
Since our slope is -2/3x
Our perpendicular line would be 3/2x
So our answer for the second question is 3/2x
Useful things to remember:
Slope of a line: Δy/ΔxSlope of a parrelel line: Δy/ΔxSlope of a perpendicular line: -Δx/ΔyHope this helps!
PLEASE I BEG ANYONE WHO SEES THIS QUESTION TO PLEASE HELP ME TO PLEASE GIVING A CORRECT ANSWERS OR CHOICES PLEASE I'LL GIVE 50 POINTS!!!!!!!!!
Hi I really need help with this problem please.
Correct answers only
the choices are:
equal to
1 greater than
1 less than
2 greater than
2 less than
3 greater than
3 less than
Answer:
The maximum value of g(x) is 3 greater than the maximum value of f(x).
Step-by-step explanation:
Quadratic Function: Definitions:The function modeled by the equation, f(x) = - (x - 3)² + 9, represents a quadratic function in vertex form.
The vertex form is given by: f(x) = a(x - h)² + k, where:
⇒ The value of a is the vertical compression or stretch factor, which essentially determines the width of a parabola. The value of a also determines where the graph of a parabola opens:
a > 1: graph opens up; a < 1, graph opens down.⇒ (h, k) = Vertex of the parabola.
Given these definitions, we can assume the following information regarding the quadratic function, f(x) = - (x - 3)² + 9:
The vertex occurs at point, (3, 9).The graph opens down because a = -1. Therefore, the vertex is the maximum point of the graph.Absolute Value Function: Definitions:
The vertex form of an absolute value function is given by: g(x) = a|x - h| + k, where:
⇒ The value of a determines the following:
|a| > 1 represents the vertical stretch of the graph. 0 < |a| < 1 represents the vertical compression or shrink of the graph. a < 0 represents the reflection across the x-axis.⇒ (h, k) = Vertex of the absolute value function.
⇒ x = h represents the axis of symmetry.
The axis of symmetry is the imaginary point on the graph that intersects through the h-coordinate of the vertex, thereby dividing the graph into two symmetrical parts.
Observing the given table of values, especially how the y-values increasingly peak towards g(x) = 12, then decreases back down starting at g(x) = 8. It is important to take notice of the y-values, as it represents the resulting output provided by the given input (x-value).
The increasing, followed by the decreasing y-values imply that the graph must be facing downward. Since we specified that the maximum point provided by g(x) = 12, then it means that it is the vertex occurs at point, (1, 12).
Compare the vertices of f(x) and g(x):The vertex of the quadratic function, f(x) = (3, 9). The vertex of the absolute value function, g(x) = (1, 12). The basis of comparing the minimum or maximum value of a graph is the output, or the y-value. The difference between the maximum values of g(x) and f(x) = 3.
Therefore, the maximum value of g(x) is 3 greater than the maximum value of f(x).
Need help with number 4 only
Answer: The filled out chart is shown below.
===========================================================
Explanation:
For each row, we divide the number of locations over the population count. Treat the population values in millions. Something like 35.2 million means 35,200,000 which is the same as writing 35.2*10^6 when using scientific notation. I prefer to stick to scientific notation.
In the first row, they computed 1460/(35.2*10^6) = 0.0000415 = 4.15*10^(-5); the last entry of 4.15 for this row represents having 4.15 stores for 100,000 people. In other words, we chop off the 10^(-5) portion in 4.15*10^(-5). This is because the 10^(-5) portion represents "1 out of 100,000".
The other remaining rows are handled the same way. I'll show the steps for the second row
per capita as a decimal = 6530/(325.7*10^6) = 0.00002per capita as sci notation = 2 * 10^(-5)Starbucks per 100,000 = 2Like the previous row, each value is approximate.
Check out the table below. The stuff in gray represents the new entries that were previously blank.
The size of an insect population doubles every week. If there are 25 insects initially present, how many insects will there be in eight weeks?
Answer:
tence there will be 6,00 insects abter 8 weeks.
Step-by-step explanation:
for which value of s does the solution of the initial value problem
-2z+3-z=□-4z+2
please give me the answer
Step-by-step explanation:
[tex]\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\[/tex]
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
Given to solve: -2z+3-z = -4z+2
⇛ -3z + 3 = -4z + 2
⇛ -3z + 4z = 2 - 3
⇛ z = -1
Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.
Please help with freshmen math
Answer:
7375
24
Step-by-step explanation:
c=5500+125(15)
c=7375
8500=5500+125n
Write an equation for the graph shown in the form y=ax+b.
Answer:
y=0.2x+1
Step-by-step explanation:
2=5a+b
1.2=1a+b
0=-5a+b
we get that a=0.2, b=1
The required equation will be y = -0.5x + 27.5 passes through the points (-5, 0) and (5, 2).
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
According to the given graph,
We can see two points are (-5, 0) and (5, 2)
The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Here
x₁ = -5, y₁ = 0
x₂ = 5, y₂ = 2
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
Substitute values in the equation, we get
⇒ y - 0 = (2 - 0)/(8-4)(x-(-5))
⇒ y - 30 = (2)/(-4)(x + 5)
⇒ y - 30 = -1/2(x + 5)
⇒ y = (-1/2)x - 5/2 + 30
⇒ y = -0.5x + 27.5
Thus, the required equation will be y = -0.5x + 27.5 passes through the points (-5, 0) and (5, 2).
Learn more about the Linear equations here:
brainly.com/question/13738061
#SPJ2
The highest temperature ever recorded on Earth was 136F in Libya. The lowest temperature was -129F in Antarctica. What is the difference of the highest and lowest temperatures on Earth?
A. 7F
B. 107F
C. 165F
D. 265F
Answer:
it's D. 265F
Step-by-step explanation:
subtract 136 by -129 and you get 265
Rehan proved by mathematical Induction that for all the positive Integers, n^3+ 2n is divisible by 3. Can you find an integer counterexample to show that this statement is not true? Explain.
Reproduce the proof. When n = 1, we have
n³ + 2n = 1³ + 2 = 3
which is clearly divisible by 3.
Assume n³ + 2n is divisible by 3. Then for the next natural number n + 1, we have
(n + 1)³ + 2 (n + 1) = n³ + 3n² + 3n + 1 + 2n + 2
= n³ + 2n + 3 (n² + n + 1)
The first two terms n³ + 2n are divisible by 3 according to our assumption, and 3 (n² + n + 1) is clearly a multiple of, and therefore divisible by, 3 as well.
So the claim that 3 divides n³ + 2n is true for all natural numbers n.
Find the value of x that makes lines u and y parallel.
Answer:
x = 7
Step-by-step explanation:
If u // v, then
19x - 3 = 130 {Corresponding angles are congruent}
19x = 130 + 3
19x = 133
x = 133/19
x = 7
GENERALIZATION:
1.) What is the sign of the product if two numbers is multiplied with like signs?
_______________________________
_______________________________
2.) What is the sign of the product if two numbers are multiplied with unlike signs?
_______________________________
_______________________________
Step-by-step explanation:
Complete detail of explanation is given.Proportions
Rectangular Prism
I'm decreasing the rectangular prism
H= 10
W=13.7
L: 16.6
scale: 1/4
ratios: 2:3
what is the area of the trapizeum
(first base + second base)x height ÷ 2
Determine if the leading coefficient of the following function is positive or negative and whether the function has a minimum or maximum vertex point.
Answer:
The leading coefficient of the function shown is negative and the function shown has a maximum vertex point.
Step-by-step explanation:
The leading coefficient is the term with the highest degree in a polynomial.
For example in 4x² + 3x + 1 the leading coefficient would be 4x² as 4x² is the term with the highest degree.
The leading coefficient tells us whether the equation, when graphed, will rise or fall.
If the leading coefficient is negative then the equation will fall when graphed, in contrast if the leading coefficient is positive the equation will rise when graphed.
Looking at the graph, it appears that the equation is falling, meaning that the leading coefficient must be negative.
If the equation falls then it has a maximum point, if it rises then it has a minimum point.
Because the equation shown falls it will have a maximum point.
(Please Help) (50 Points) Write the equation for the transformations of the graph of y = x^2
Use the form: y = a (x-h)^2 +k
Translated 2 units left and 7 units down.
A is the scale or vertical stretch
H is what makes it move right or left.
K is what makes it move up or down.
a = 1
h = -2
k = -7
y = (1) (x-(-2))² + (-7)
y= (x + 2)² -7
(Also, you will learn b in the equation. The equation would be a(b(x-h))² + k. B would be about horizontal compression.)
Bill’s Bait and Tackle is selling minows and worms. The minows are $5 per bag and the worms are $7 per bag. Bill sells 220 total bags and made $1250 total. How many bags of minnows and worms did he sell?
PLS HELPPP
FIND X
I will mark braniliest
Answer:
x = 11
Step-by-step explanation:
∠ EAB = ∠ AED = 4x ( alternate angles )
∠ AEB and ∠ GEB are adjacent angles on a straight line and sum to 180° , so
∠ AEB + 125° = 180° ( subtract 125° from both sides )
∠ AEB = 55°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBC is an exterior angle of the triangle , then
∠ EBC = ∠ AEB + ∠EAB , that is
9x = 55 + 4x ( subtract 4x from both sides )
5x = 55 ( divide both sides by 5 )
x = 11
Please answer
Who is wrong and why
Answer:
Michaels' proof is wrong. His second point says that ∠AKG ≈ ∠AKL with the Vertical Angles Theorem as his justification, which is incorrect. Angles AKG and AKL are not vertically opposing angles, but they form a linear pair, so in this case, Daniels's proof is correct.
Step-by-step explanation:
Please correct me if I'm wrong :)
You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is over speeding.
In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast - moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.
Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain. The result of your observation will be presented to the students in your section and will be graded by your teacher.
Step-by-step explanation:
3(100)2 + 17(100) - 203(10000) + 1700 - 20
30000 + 1700 - 20
31680
The table below represents a linear function. Identify the rate of change of the function.
(0,4) (4,-3) (8,-10) (12,-17)
Step-by-step explanation:
the rate of change is the slope of the line y/x. it is always the factor of x in the equation.
it indicates how many units y changes, when x changes a certain amount of units when going from one point to another.
we only need to look at 2 points.
to go from (0, 4) to (4, -3)
x changes by +4 (from 0 to 4),
y changes by -7 (from 4 to -3).
so the rate of change is -7/3
what is the best estimate for the volume of a kitchen sink?
Helpppppppppppppppppppp
Answer:
B and C
Step-by-step explanation:
I hope you find this helpful
PLEASE HELP ASAP!!!!!
Answer:
x = 7
Step-by-step explanation:
The sum of exterior angles in a polygon is 360°.
( 11x - 5 )° + ( 4x + 29 )° + ( 6x + 13 )° + ( 9x - 15 )° + 67° + 61° = 360°
30x + 22 + 128 = 360
30x = 210
x = 7
How many video games were sold in the year 2001
Answer:
265
Step-by-step explanation:
you only need to do is simplify the expression.
The students in Mrs. Brown's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
10, 14, 7, 7, 6, 12, 6
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.
mean:
median:
Answer:
it takes me 14 minutes to go to class
A larger kind of bacteria is about 0.00039 in. long. Write this length using
scientific notation
Answer:
3.9X10^-4
Step-by-step explanation:
The value is increasing so your exponent increases
(-9,6) and (-3,2) help pls
(-9,6) and (-3,2) help pls
Answer : -12.8
