Answer:
4x² - 4x - 8 can be factored into 4(x - 2)(x + 1)
Step-by-step explanation:
First, we can factor out 4, as all terms are divisible by that:
4x² - 4x - 8
= 4(x² - x - 2)
Now we need to find two numbers that are are factors of -2, but add up to -1. -2 and 1 meet that condition, so let's split the middle term into those coefficients:
=4(x² + x - 2x - 2)
= 4( x(x + 1) - 2(x - 1) )
= 4(x - 2)(x + 1)
Answer:
4(x+1)x(x-2)
Step-by-step explanation:
Step 1: factor it
4(x^2-x-2)
Step 2: re write the expression and make -x as a difference
4(x^2+x-2x-2)
Step 3: factor out x from the expression
4(x *(1+1)-2(x+1))
Step 4: factor out x+1 from the expression
4(x+1) x (x-2)
Das it hope you have a good day lol
hi can someone help me with this
Answer:
86 degrees
Step-by-step explanation:
180 - (74 + 20) = 86
Are the ratios 12:16 and 1:2 equivalent?
Answer:
Step-by-step explanation:
No they are not because-
1x12=12 so that SHOULD mean that
2x12=16 but in reallity 2x12=24
Thank you for asking!
in your own words, describe what a horizontal asymptote is ?
(-3x + 5) - (-7x + 2)
Answer:
\( \sf \: 4x + 3 \)
Step-by-step explanation:
Given expression,
→ (-3x + 5) - (-7x + 2)
Let's simplify the expression,
→ (-3x + 5) - (-7x + 2)
→ -3x + 5 + 7x - 2
→ (-3x + 7x) + (5 - 2)
→ (4x) + (3)
→ 4x + 3
Hence, the answer is 4x + 3.
10x +7
because minus and minus equals plus 7x + 3x equals 10x and 2 plus 5 is 7
Fill in the table based on the polynomial function:
f(x) = x(x - 1)^2(4x – 3)(+ 2)^3
10 pts please help
A boat goes 24 miles at a constant speed in 4 hours against a river current. It takes the boat 3 hours to go the same distance at the same speed with the current of the river. What is the speed of the boat and what is the current of the river?
Boat speed: Speed of Current:
Answer: 7 miles/h and 1 miles/h
Step-by-step explanation:
With the speed of current = x + 1
Against the speed of current = x - 1
ATQ
4(x-1) = 3(x+1)
4x-4 = 3x+3
4x - 3x = 3+4
x = 7
Speed of boat = 7miles/h
Current of river = 1 miles/h
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Answer:
Hello,
Boat speed=7 miles/h
Current speed = 1 mile/h
Step-by-step explanation:
I am going to try to explain.
Let say V the speed of the boot (V like vitesse in french)
Let say v the speed of the current.
distance=24 miles
\(\left\{\begin{array}{ccc}V-v&=&\dfrac{24}{4} \\V+v&=&\dfrac{24}{3} \\\end{array}\right.\\\\\left\{\begin{array}{ccc}V-v&=&6 \\V+v&=&8 \\\end{array}\right.\\\\Adding\ the\ 2\ equations\ and\ substracting\ them \\\\\\\left\{\begin{array}{ccc}2V&=&14 \\2v&=&2 \\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}V&=&7 \\v&=&1 \\\end{array}\right.\\\\\)
Boat speed=7 miles/h
Current speed = 1 mile/h
Ben bought a computer on sale. The original price was $800 and he got it for $600. What was the percent of discount?
Answer:
25%
Step-by-step explanation:
He got $200 discount, as 200/800 * 100%= 25%
A storm dumps 1.0 cm of rain on a city 6km wide and 8km long in a 2-h period. How many metric tons of water fell on the city?
There are 4660194 metric ton of water fell on the city.
According to the statement
we have to find that the How many metric tons of water fell on the city.
And for this purpose, we know that the
From the given information:
Time period - 2hours
And A storm dumps 1.0 cm of rain on a city 6km wide and 8km long.
So,
we know that the
1 cm = 0.01 m
6 km = 6000 m
8 km = 8000 m
Now, the volume becomes
Volume of water = 0.01 m x 6000 m x 8000 m = 480000 m³
480000 m³ = 480000000 kg of water (density of water = 1000kg/m³)
103 kg = 1 metric ton
480000000 kg = 480000000 / 103 = 4660194 metric ton.
So, There are 4660194 metric ton of water fell on the city.
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there are 10 people standing equally spaced around a circle. each person knows exactly 3 of the other 9 people: the 2 people standing next to her or him, as well as the person directly across the circle. how many ways are there for the 10 people to split up into 5 pairs so that the members of each pair know each other?
there are 10 people standing equally spaced around a circle. each person knows exactly 3 of the other 9 people then there are 10 possible ways
there are 10 people standing equally spaced around a circle. each person knows exactly 3 of the other 9 people:
There is only $1$ way to do this.
Thus, in total there are $2+5+5+1={(C) }13}$ possible ways.
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please solve this and show your work, no links/ ip grabbers PLEASE i’ve been asking this forever i just need the answer
Find the point of intersection of the given plane and the line that is perpendicular to the given plane and passes through (8, 4, 3).
The point of intersection between the given plane and the line perpendicular to the plane and passing through (8, 4, 3) is (-4, -14, 9).
To find the point of intersection between a plane and a line, we need to know the equation of the plane and the equation of the line.
Given:
Plane equation: ax + by + cz = d
Line equation: P = P₀ + tV
To find the point of intersection, we can substitute the line equation into the plane equation and solve for the parameter 't'.
Let's assume the plane equation is:
2x + 3y - z = 4
And the line equation passing through (8, 4, 3) and perpendicular to the plane can be represented as:
P = (8, 4, 3) + tV
First, we need to find the normal vector of the plane. From the coefficients of x, y, and z in the plane equation, we can determine the normal vector as (2, 3, -1).
Since the line is perpendicular to the plane, the direction vector 'V' of the line will be the same as the normal vector of the plane. Therefore, V = (2, 3, -1).
Substituting the values into the plane equation:
2(8) + 3(4) - 1(3) + t(2) + t(3) + t(-1) = 4
Simplifying the equation:
16 + 12 - 3 + 2t + 3t - t = 4
28 + 4t = 4
4t = -24
t = -6
Now, substitute the value of 't' back into the line equation to find the point of intersection:
P = (8, 4, 3) + (-6)(2, 3, -1)
P = (8, 4, 3) + (-12, -18, 6)
P = (-4, -14, 9)
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two boats leave a ramp traveling in opposite directions. The second boat is 10 miles per hour faster than the first. After 3 hours they are 150 miles apart. Find the speeds of the boats.
Answer:
220 mph ; 230 mph
Step-by-step explanation:
Given that :
Speed of First boat = x
Speed of Second boat = y
y = (10 + x) mph
Distance apart after 3 hours = 150 miles
Speed of the boats :
Speed / time = distance
First boat distance = x / 3
Second boat distance = (10+x) /3
x/3 + (10+x)/3 = 150
x + 10 + x = 150 * 3
2x + 10 = 450
2x = 450 - 10
2x = 440
x = 220 mph
Speed of second boat = 220 + 10 = 230 mph
Select all expressions that describe the expression 2 + 5Y
A) 1 plus 5 plus Y
B) 2 plus 5 times a number Y
C) 2 plus the product of 5 and a number Y
D) The sum of all the numbers times Y
E) the sum of 2 and 5Y
F) 2 plus Y plus Y plus Y plus Y plus Y plus Y
Answer i think b, and f.
Step-by-step explanation:
Let me know if i am wrong.
Matteo wants to write a statement that can be represented by the inequality p less-than 9. Which describes the correct method to write a statement to match this inequality?
Use the inequality symbol to determine the relationship between the variable and the constant. Decide what the variable will represent. Decide what the constant will represent. Write a statement using the same relationship. An example is “Alva spent more than $9.”
Decide what the variable will represent. Decide what the constant will represent. Write a statement using the same relationship. An example is “Alva spent less than $9.” Use the inequality symbol to determine the relationship between the variable and the constant.
Decide what the variable will represent. Decide what the constant will represent. Use the inequality symbol to determine the relationship between the variable and the constant. Write a statement using the same relationship. An example is “Alva spent less than $9.”
Decide what the variable will represent. Decide what the constant will represent. Use the inequality symbol to determine the relationship between the variable and the constant. Write a statement using the same relationship. An example is “Alva spent more than $9.”
Answer:
The answer is C. Decide what the variable will represent. Decide what the constant will represent. Use the inequality symbol to determine the relationship between the variable and the constant. Write a statement using the same relationship. An example is “Alva spent less than $9.”
Step-by-step explanation:
I did the quiz. :D
Decide what the variable will represent. Decide what the constant will represent. Use the inequality symbol to determine the relationship between the variable and the constant. Write a statement using the same relationship. An example is “Alva spent more than $9.”This describes the correct method to write a statement to match this inequality.
What is inequality?
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
According to questions, Matteo wants to write a statement that can be represented by the inequality p less-than 9.
We have to find which describes the correct method to write a statement to match this inequality.
To write a statement to match this inequality.
We have to decide what the variable will represent.
We have to decide what the constant will represent.
Then we have to use the inequality symbol to determine the relationship between the variable and the constant.
Then we have to write a statement using the same relationship.
An example is “Alva spent more than $9.”
Hence, we conclude that to write a statement to match this inequality.
We have to decide what the variable will represent. Decide what the constant will represent. Use the inequality symbol to determine the relationship between the variable and the constant. Write a statement using the same relationship. An example is “Alva spent more than $9.”
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what are all operations with fractions that require a common denominator
Answer:
Adding Fractions: If the denominators are not the same, you must find the common denominator by finding the least common multiple (LCM). Subtracting Fractions: If the denominators are not the same, you must find the common denominator by finding the least common multiple (LCM).
please help me on this will give you brainliest
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 5 ≤ x ≤9.
7
8
9
6
x
4
5
f(x)
4
8
16
32
64
medically explained PAINL X
128
Deltal/ath
The average rate of change, in simplest form, is -2/5.
What is average rate ?
Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.
The rate of change of the function is its gradient or slope.
The formula for calculating the gradient of a function is expressed as:
\(m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}$$\)
Using the coordinate points from the table (0,41) and (15,35)
Substitute the coordinate into the expression:
\($$\begin{aligned}& m=\frac{35-41}{15-0} \\& m=\frac{-6}{15} \\& m=\frac{-2}{5}\end{aligned}$$\)
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Which answers are equal to the expression below? Check all that apply
Answer:
A, B, D, E, F
Step-by-step explanation:
help!!!!!!!!!!!! >>>>>Which number set contains all rational
numbers?
The only set that only has rational numbers is the first one:
{1/3, -3.45, √9}
Which of the given sets contains only rational numbers?
A rational number is a number that can be written as the quotient of two integers.
If we look at the first set, the elements are:
1/3 which is a rational number.-3.45 = -345/100 which is a rational number√9 = 3 = 3/1 which is a rational number.In the other sets we can see elements like:
√37, √44, or √2 which are all irrational numbers, then the only correct option is the first one.
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Duane bought 3.8 pounds of bananas for $.55 per pound.
How much did he spend in dollars?
Answer:
$2.09
Step-by-step explanation:
3.8 x .55 = 2.09
Sue wakes up at 7:45 A.M. and jogs for 40 minutes. She then spends 45 minutes dressing for school before she catches the bus. At what time does Sue get on the bus?
Answer:
9:00
Step-by-step explanation:
Find the area of the figure please!
Answer:
36 square units
Step-by-step explanation:
The figure is made up of a rectangle above with length 6 and width 4.
The bottom part is a triangle with a base of 6 and a height of 4.
total area = area of rectangle + area of triangle
total area = LW + bh/2
total area = 6 × 4 + 6 × 4/2
total area = 24 + 12
total area = 36
Answer:
36 square units
Step-by-step explanation:
We can split the given figure into two familiar figure by drawing a line segment as shown in the attached figure
This splits the composite figure into a rectangle at the top and an inverted triangle at the bottom
The rectangle has a length(horizontal portion) of 6 units and a width(vertical portion) of 4 units
Area of rectangle = length x width = 6 x 4 = 24 square units
The triangle has a base of 6 units and a height of 4 units
Area of rectangle = 1/2 x base x height = 1/2 x 6 x 4 = 1/2 x 24 = 12 square units
Area of figure = 24 + 12 = 36 square units
How do i solve this (Tamgent Segment)
Answer:
5
Step-by-step explanation:
Since DE is tangent to the circle, that means DE is perpendicular to EF
==> DF = sqrt(4^2+3^2) = 5
Which decimal is equivalent to 26/9?
Answer:
B) 2.8 with line on top
Step-by-step explanation:
Here I will show you step-by-step with detailed explanation how to calculate 26 divided by 9 using long division.
Before you continue, note that in the problem 26 divided by 9, the numbers are defined as follows:
26 = dividend
9 = divisor
Step 1:
Start by setting it up with the divisor 9 on the left side and the dividend 26 on the right side like this:
\(\sqrt[9]{26}\)
Step 2:
The divisor (9) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
\(\\ \sqrt[9]{26} ^0\)
Step 3:
Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.
0
9 ⟌ 2 6
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
0
9 ⟌ 2 6
- 0
2
Step 5:
Move down the 2nd digit of the dividend (6) like this:
0
9 ⟌ 2 6
- 0
2 6
Step 6:
The divisor (9) goes into the bottom number (26), 2 time(s). Therefore, put 2 on top:
0 2
9 ⟌ 2 6
- 0
2 6
Step 7:
Multiply the divisor by the result in the previous step (9 x 2 = 18) and write that answer at the bottom:
0 2
9 ⟌ 2 6
- 0
2 6
1 8
Step 8:
Subtract the result in the previous step from the number written above it. (26 - 18 = 8) and write the answer at the bottom.
0 2
9 ⟌ 2 6
- 0
2 6
- 1 8
8
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 26 divided by 9 calculated using Long Division is:
2
8 Remainder
2.88888888889
find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→[infinity] x tan(2/x)
The limit is :lim x→[infinity] x tan(2/x)= 2
To determine the limit:
lim x→[infinity] x tan(2/x)
Using derivatives, the L'hospital rule can be used to evaluate limits involving indeterminate forms.
A limit with an ambiguous form is one that does not provide enough information to determine the original limit.
It is a crucial rule in Calculus.
We can use derivatives to find the value of certain types of limits using this rule.
L'Hospital's rule can be applied.
To do so, we take the denominator's and numerator's derivatives with respect to x.
lim x→[infinity] x tan(2/x)
= lim x → ∞ tan(2/x)/1/x
[as x → ∞, 1/x→0]
=>2 lim 1/x → 0 tan(2/x)/2/x
=> 2 lim Ф → 0 sec²2Ф
=> 2× sec²0
=> 2
Therefore,
lim x→[infinity] x tan(2/x)= 2
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Another identity problem...
Answer:
cot(x)=-sqrt(3)/3
Step-by-step explanation:
I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.
Plug in:
sin^2(x)+(-1/2)^2=1
Simplify:
sin^2(x)+1/4=1
Subtract 1/4 on both sidea:
sin^2(x)=3/4
Square root both sides:
sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]
cot(x)=(-1/2)/(sqrt(3)/2))
cot(x)=-1/sqrt(3)
Rationalize denominator by multiplying by sqrt(3)/sqrt(3):
cot(x)=-sqrt(3)/3
cot(x)=
Riley bought a spiral notebook for $3.99 and 2 packages of pens for $2.45 each. How much money did Riley spend?
Answer:
8.89
Step-by-step explanation:2.45+2.45=4.90 and 4.90+399=8.89
classify the following result as an example of interitem reliability, interrater reliability, or test-retest reliability: a researcher finds that people's scores on a measure of extroversion stay stable over 2 months after repeat measures.
The reliability of the given statement "a researcher finds that people's scores on a measure of extroversion stay stable over 2 months after repeat measures." is test-retest reliability
Test-retest reliability is a type of reliability testing that assesses the consistency of results obtained from the same measurement tool administered to the same group of people at different times.
It ensures that the results obtained from the same measurement tool at different times are consistent, which increases the validity of the findings.
In this case, the researcher can have confidence that the measure of extroversion used is reliable, and the scores obtained are an accurate representation of the participants' level of extroversion.
In conclusion, test-retest reliability is a crucial type of reliability testing used in research to ensure the consistency and stability of results obtained from the same measurement tool administered to the same group of people at different times.
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Find the value of x. Round to the nearest tenth. Use law of sines
Answer:
69.9°
Step-by-step explanation:
sin28/11 = sinx/22
22(sin28) = 11(sinx)
sinx = 22(sin28) / 11 = 0.9389
x = sin⁻¹(0.9389) = 69.9°
Evaluate the expression using the given value 5a+3 a=6
Answer- 33
We are told that A=6, there for we can right out our equation fully.
(5 x 6)+3. Our multiplication sentence with go in parentheses ( ) so we know to do that part of our equation first. 5 times 6 is 30. After we multiply we add our outside number(s). 30 plus 3 is 33. Which means the solution to the equation is 33.
5a +3= 33 or (5x6) +3 = 33
Hope this helps! and GOOD LUCK.