The inequality using interval notation are (-7, -4).
What is defined as the interval notation?An interval is represented on a number line using interval notation.
In those other sayings, it is a method of writing real number line subsets. An interval is made up of numbers that fall between two specific data set.For instance, the set of digits x satisfying 0 ≤ x ≤ 8 is an interval containing 0, 8, as well as all numbers between 0 and 8.Open intervals: The endpoints of a inequality are not included in this type of interval. This is written in open interval notation: (-3, 1).closed intervals: The endpoints of a inequality are included in this type of interval. This is written in closed interval notation as [-3,1].For the given expression;
-7 < x < -4
As, x > -7; x is not equal to -7.
x < -4; here also x is not equal to -4.
So, the is a condition of open interval where both vales are not taken.
Thus, the intervals are written as; (-7, -4).
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√80 in the number line
√80 on the number line would be marked at (8.94, 0) on the number line.
Hope this graph helps!
Last month the online price was $250. This month the online price is $330. What is the increase for the price
Answer:
Step-by-step explanation:
330-250 =80
Simplify the expression. NEED HELP FAST
The simplification of the expression 3a(15 + 3 - 3²) + 7a(8/4) gives 41a
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
3a(15 + 3 - 3²) + 7a(8/4)
Simplifying the exponents:
3a(15 + 3 - 9) + 7a(8/4)
Simplifying the terms in the bracket:
3a(9) + 7a(2)
Opening the parenthesis:
27a + 14a
Adding:
= 41a
The simplification of the expression 3a(15 + 3 - 3²) + 7a(8/4) gives 41a
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light travels at the speed of about 1.9×10^6 miles per second. Suppose a spaceship is able to travel at the speed of light. If the distance around Earth along the Equator is about 2.5×10^5 miles, how many times could the spaceship travel around the Earth in 1 second? Round to the nearest tenth if necessary.
The number of times that the spaceship can trave is 7.6 times
How to calculate the value?From the information, light travels at the speed of about 1.9×10^6 miles per second. Suppose a spaceship is able to travel at the speed of light. If the distance around Earth along the Equator is about 2.5×10^5 miles.
Therefore, the number of times that the spaceship can travel will be:
= 1.9 × 10^6 / 2.5 × 10^5
= 7.6
It can travel 7.6 times.
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Need help ASAP!!
Samuel is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 5 points. What would be Samuel's test score (out of 100) if he got 9 questions wrong? What would be his score if he got x questions wrong?
Samuel's test score if he got 9 questions wrong=55
Samuel's test score if he got x questions wrong=45
What is mean scale score?Mean score: A mean scale score is the average performance of a group of students on an assessment. Specifically, a mean scale score is calculated by adding all individual student scores and dividing by the number of total scores. It can also be referred to as an average.
let y equal the number of questions
let's find how many total questions are there,
100=5y
divide by the coefficient of y which in the case is 5
20=y
so we have total of 20 questions each are worth 5 points
now, Samuel got 9 questions wrong and if we know they are 20 total questions
20-9=11
so, we know Samuel got 11 questions correct
let's use an expression to figure out his score
let x be the number of questions
5x
substitute
5(11)=55
his score if he got x questions wrong
20-11=9
9(5)=45
Samuel's test score if he got 9 questions wrong=55
Samuel's test score if he got x questions wrong=45
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WHAT is 4-5!! WILL GIVE BRAINIST IF CORRECT please hurry
Answer:
5 x 10^-5
2.5 x 10^-3
0.02
0.0016
Step-by-step explanation:
What is the distance between −8 and 16 on a number line?
[tex]distance = |x-y| \\ where \: x \: and \: y \: are \: any \: two \: numbers[/tex]
It doesn't matter which number you put first as long as you don't forget your absolute value.
If you don't want to put the absolute value, the equation becomes:
[tex]distance = x-y \\ where \: x \: and \: y \: are \: any \: two \: numbers \\ under \: condition \: that \: x > y[/tex]
[tex]distance = 16 - ( - 8) = 16 + 8 = 24 \\ distance = |16-(-8)|=|16+8|=|24|=24 \\ or \\distance = | - 8-(16)|=| - 8 - 16|=| - 24|=24[/tex]
Find the value of a,b,c and d that make the equation true.
(ax^(3)-3x^(2)+2bx-2)-(2x^(3)-cx^(2)-5x-4d)=x^(2)+x-6
I stitched a photo of the solution.
How much of an 80% salt solution must
be mixed with 50 gallons of a 13% salt
solution to obtain a solution that is
70% salt?
By means of weighted averages, we conclude that an amount of 285 gallons are needed to prepare a 70 % salt solution.
What quantities of two solutions with different concentrations are needed to obtain a new solution with a expected concentration?
In this problem we find two salt solutions with distinct concentrations, one with 80 % and another with 13 %, the latter in a quantity of 50 gallons. The required quantity of 80 % salt solution is determined by using weighted averages:
(80 / 100) · x + (13 / 100) · 50 = (70 / 100) · (x + 50)
0.8 · x + 13 / 2 = 0.7 · x + 35
0.1 · x = 57 / 2
0.2 · x = 57
x = 285
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(3). In an election contested by two (2) parties A and B. Party A Secuired 12% of the total votes more than party B. If party B got 132000 votes and there are no invalid votes votes, by how many & did it loose the election.
B lost the election by 15,840 votes.
Since A got 132000+12% of 132000 votes=147840 votes.
find the measure of angle 2
what amount of a 60% acid solution must be mixed with a 35% solution to produce 600 mL of a 55% solution? Algebra
2400mL is the amount of 60%acid solution to mix.
Let the amount of acid be mixed be x.
From the question, we get an equation that,
60%x + 35% × 600/ x + 600 = 55%
(Here x ≠ -600, as the denominator can never be 0.)
60%× x + 35% ×600 = 55%(x + 600)
Now we have to find the value of x to know the amount of acid that is mixed in a solution.
0.60x + 0.35 × 600 = 0.55(x+600)
0.60x + 210 = 0.55 + 330
0.05x = 120
x = 120/0.05
= 2400
Therefore we get an amount of acid to be mixed is 2400mL.
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URGENT ! HELPPPP
Evaluate (f+2) (g+8), when f = 4 and g = 2
Evaluate 2Tu, when T = 5 and u = 9
Answer:
1) 60
2) 90
Step-by-step explanation:
Evaluate (f+2) (g+8), when f = 4 and g = 2
Solution
(f+2) (g+8)
Evaluate for f=4,g=2
(4+2)(2+8)
(4+2)(2+8)
=60
Evaluate 2Tu, when T = 5 and u = 9
Solution
2tu
Evaluate for t=5,u=9
(2)(5)(9)
(2)(5)(9)
=90
Answer:
Step-by-step explanation:
replace f and g for their values
(4+2)(2+8)
= 6*10
= 60
replace t and u for their values
2*5*9
= 10*9
= 90
60 divided by the sum of 5 and 2
Answer: 8 Remainder 4
Step-by-step explanation: Sum is the answer to addition so 5 plus 2 is 7 and 60 divided by 7 is 8 with a Remainder of 4
Calcula la capacidad de un bidon con el que se han llenado 7 botellas de 6/5litros. ¿Cuantas botellas de 3/10litros se pueden llenar con el?
The total capacity will be 8 2/5 liters.
How to calculate the fraction?From the information, the bottles wee filled with 6/5 liters each.
Therefore, the capacity will be:
= Number of drums × Quantity
= 7 × 6/5
= 42/5..
= 8 2/5 liters.
Therefore, the total capacity will be 8 2/5 liters.
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what is the percentage of the population under 20 in japan 2018
Answer:
about 4.89% is the percentage of population under 20 in Japan 2018
a-2>4 solve for the inuquality graph the solution
Answer:
a > 6
Step-by-step explanation:
[tex]a-2 > 4\\=a-2+2 > 4+2\\a > 6[/tex]
GraphI just want someone to check this, Im finding X and I finda forgot how to do this, so if someone can correct me and tell how to do it, that would be nice, 50 points btw
The value of x is 13
How to determine the valueFrom the diagram shown, we have that the line segments as;
NK = NM + ML + LK
Where;
NK = 23NM = x - 6ML = 9LK = 2x - 19Substitute the values into the equation
(x - 6) + 9 + 2x - 19 = 23
collect like terms
x + 2x -6 + 9 - 19 = 23
Add like terms
3x - 16 = 23
3x = 23 + 16
3x = 39
Divide both sides by 3
x = 39/ 3
x = 13
Thus, the value of x is 13
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The formula to determine energy is E= 1/2 mv^2 . What is the formula solved for v?
Answer:
Step-by-step explanation:
v = √(2e / m)
Study these equations:
f(x) = 2x – 8
g(x) = –5x
What is h(x) = f(x)g(x)?
h(x) = 10x2 – 40x
h(x) = –10x2 + 40x
h(x) = –10x + 40
h(x) = 10x – 40
The equation of the composite function h(x) is h(x) = -10x^2 + 40x
How to determine the equation of the composite function?The functions are given as
f(x) = 2x – 8
g(x) = –5x
The equation of the composite function is given as
h(x) = f(x)g(x)
Substitute f(x) = 2x – 8 and g(x) = –5x in the equation h(x) = f(x)g(x)
So, we have
h(x) = (2x - 8) x (-5x)
Evaluate the product
h(x) = -10x^2 + 40x
Hence, the equation of the composite function h(x) is h(x) = -10x^2 + 40x
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(a) Determine the net change between the indicated points on the graph.
b) determine the average rate of change between the indicated points on the graph.
The function which passes from (1,4) and (5,1) is y= -7/20x² + 27/20x +3
and the net change between the indicated points is -3, whereas the average rate change is -3/4.
Given, from the graph, the function passes (1,4) and (5,1).
Let y = ax² + bx + 3
from point 1.
the equation is: a + b+ 3 = 4 eq(1)
from point 2.
the equation is 25a + 5b + 3 = 1 eq(2)
solving equation 1 and equation 2.
we get, 20b = 99-72
20b = 27
b = 27/20
substitute b value in equation 1.
a + 27/20 + 3 = 4
20a = -7
a = -7/20
hence y = -7/20x² + 27/20x +3
(a) net change = change in y coordinates.
net change = y₂ - y₁
net change = 1 - 4
= -3
(b) Average rate = change in y coordinates / change in x coordinates
= 1 - 4/5-1
= -3/4
hence we get the required answers.
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What is the slope of the line?
Answer:
Slope = (-7/4)
Step-by-step explanation:
Point 1: (-3, 4); Point 2: (1, -3)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -3 - 4 -7 -7
m = ----------- = ----------- = ----------- = ------
x₂ - x₁ 1 - (-3) 1 + 3 4
I hope this helps!
I need help with this exercise on Simplifying Logarithms.
Evaluate the following showing steps. Round the answer to three significant digits.
e^(4x-2) when x = 2
Answer:
e^6 ≈ 403
Step-by-step explanation:
You want the value of e^(4x-2) when x = 2.
EvaluationPut 2 where x is in the expression and do the arithmetic.
e^(4·2 -2) = e^6 ≈ 403.429
The value of the expression is about 403.
Find the sum. (2x* + 3x) + (4x*- 7x)
Answer: The answer is 6x^4-4x
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
angelina determined that her father’s age is 4 less than 3 times her age. If x represents angelina’s age, write an expression for her father’s age
Answer:
4 - 3x
Step-by-step explanation:
please mark me as brainliest
Answer:
3x-4= Y
Y= her dad's age.
Choose the symbol that makes the statement true.
A. <
B. >
C. =
PLEASE HELP THANK YOU :)
h(x)=f(x)+5
I have no idea what any of this means
Question
Which is an equation of the line that is parallel to y = 2x -8
and passes through the point (0,-3)?
The equation of a straight line that is parallel to y = 2x -8 and passes through the point (0,-3) is y=2x-3 .
The general equation of straight line is of the form y=mx+c where m is the slope of the equation and c is the y-intercept of the equation.
The slope is defined as the tangent of the angle made by the line with the positive direction of x axis.
he y-intercept of a straight line is the point where the graph passes the y-axis.
The given equation of the line is y=2x-8. Comparing the given equation with the general equation of a straight line we can conclude that the slope of the line is 2.
Two parallel lines have the same slope . Therefore the slope of the line parallel to y = 2x -8 is also 2.
We know that if a line with slope m passes through(x₁, y₁) then the equation of the line is given by
y-y₁=m(x-x₁)
The required line passes through (0,-3)
∴putting the values we get:
y-(-3)=2(x-0)
or, y+3=2x
or, y=2x-3
Therefore the line parallel to y = 2x -8 and passing through the point (0,-3) is y=2x-3.
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Airport Parking The number of short-term parking spaces at 12 airports is shown. Find the mean, median, mode, and midrange for the data.
The mean of the set of numbers is 4362.92
The median is 4164.5
The mode is 0.
How to calculate the mean?It should be noted that the mean is the average sat of numbers. The addition of the numbers is 52355 and there are 12 numbers.
The mean will be:
= 51355 / 12
= 4362.92
The median is the number in the middle. This will be:
= (3838 + 4491)/2
= 4164.5
The mode is 0 since the observations were only once.
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I need help with geometry