The correct answer for the given inequality is {x | x ≤ -9 or x ≥ -5}.
What is inequality?Inequality is a statement shows greater the, greater then equal to, less then,less then equal to between two algebraic expressions.
To solve an absolute inequality, first step is to isolate absolute value expression.
Hence remove -4 from the left side. So, add 4 to each sides of the inequality.
2|x + 7|−4 ≥ 0
2|x + 7|−4 +4≥ 0 +4
2|x + 7| ≥ 4 Combine the like terms.
Divide each sides by 2.
[tex]\dfrac{2|x + 7| }{2} \geq \dfrac{4}{2}[/tex]
|x + 7| ≥2
Next step is to remove the absolute value sign. So,
x + 7≥2 and x+7≤-2.
x≥2-7 and x≤-2-7
x≥-5 and x≤-9
So, the correct choice is {x | x ≤ -9 or x ≥ -5}.
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Answer:
1st one is: C
2nd one is: A
Step-by-step explanation:
Aria paid $75,000 for her house. its property value increased by 2.2% per year. when aria sold her house after eleven years, how much was it worth, to the nearest hundred dollars? a. $133,700 b. $95,400 c. $95,300 d. $93,100
The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.
What is percentage increase?Percentage increase is the amount added to the initial value of a product in the percentage part.
The percentage increase over a year can be found out using the compound interest formula,
[tex]A=P(1+\dfrac{r}{100})^n[/tex]
Here, (A) is the final amount (P) is the principal amount, (r) is the rate and n is the time period.
Aria paid $75,000 for her house. its property value increased by 2.2% per year. The time period is 11 years. Put these values in the above formula as,
[tex]A=75000(1+\dfrac{2.2}{100})^{11}\\A=95284.3[/tex]
To the nearest, a hundred dollars,
[tex]A=95300[/tex]
The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.
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Answer: incase you're still confused, the answer is $95,300. Hope this helps <3
What is the solution to the equation?
Choose the student who solved the equation correctly.
12a = 6
Maria's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = 2.
Jessi's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = one-half.
Marcus's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 1.
Trevor's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 2.
9.1k = 63.7
The solution is
.
Answer:
Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2
Step-by-step explanation:
so it's B or jessi work
A pew research poll asked u.s. adults whether fathers today were doing as good a job of fathering as fathers of 20-30 years ago. the table shows their responses. if we select a respondent at random from this sample, what is the probability that the person responded "same" or "better"?
Using it's concept, it is found that there is a 0.4901 = 49.01% probability that the person responded "same" or "better".
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that 424 + 566 = 990 out of 2020 respondants said that they were doing the same or better, hence:
p = 990/2020 = 0.4901
0.4901 = 49.01% probability that the person responded "same" or "better".
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Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution.
There is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6 option fourth is correct.
It is given that the function [tex]\rm f(x) = -0.5|2x+2|+1[/tex]
It is required to find the values of x when f(x) = 6
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm f(x) = -0.5|2x+2|+1[/tex]
And f(x) = 6
Putting the value of f(x) in the above equation, we get:
[tex]\rm 6 = -0.5|2x+2|+1[/tex] or
[tex]\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10[/tex]
Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'
Thus, there is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6.
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What is the value of x?
x20=58
A. 0.625
B. 2.5
C. 12.5
D. 32.0
The value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.
What is an arithmetic operation?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
To solve for x, we need to isolate it on one side of the equation.
We can isolate x by dividing both sides of the equation by 20:
x(20) / 20 = 58 / 20
Simplifying:
x = 2.9
Therefore, the value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.
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Find the gradients of lines A and B.
Answer:
A=4
B=-2
Step-by-step explanation:
the gradient to B is a negative coz the line is sloping downwards
Answer:
m (A) = 4
m (B) = - 2
Step-by-step explanation:
choose any 2 coordinates on line A to use it in the formulae
no need to do so for line B because the y-int and x-int both are clear.
Which of the following two characteristics are typical features of a less-developed country? high percentage of employed population high percentage of the population engaged in agricultural activity lower life expectancy due to limited access to healthcare high literacy rate due to funds available for higher education high gross domestic product per capita
Answer:
two characteristics are typical features of a less-developed country are:-
2- High percentage of the population engaged in agricultural activity
3- Lower life expectancy due to limited access to healthcare
Step-by-step explanation:
1 -false
2- true
3- true
4- false
5- false
~Kandy~
hope this helped!
Brainliest please!
Solve for e:2e-13+8=135
Answer:
e = 70
Step-by-step explanation:
2e - 13 + 8 = 135
2e - 5 = 135
2e = 135 + 5
2e = 140
divide both sides by 2
e = 70
What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81
Step-by-step explanation:
We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.
Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.
The radius of a circle is 2 feet. What is the
circle's circumference?
r=2 ft
Given -
the radius of a circle is 2 feet. ie. r = 2ftps - use 3.14 for π
To find -
the circle's circumferenceSolution -
We know to find the circumference of a circle we use the formula C=2πr.
Doing the same,
C = 2 × 3.14 × 2
C = 12.56 feet
[tex]\sf\large\underline{Given:-}[/tex]
[tex]\rightarrow[/tex] Radius(r) of the circle = 2 ft.
[tex]\rightarrow[/tex] Value of Pie(π) = 3.14
[tex]\sf\large\underline{To\: Find:-}[/tex]
[tex]\rightarrow[/tex] Circumference of the circle.
[tex]\sf\large\underline{Formula \: Used:-}[/tex]
[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex]
[tex]\sf\large\underline{Solution:-}[/tex]
[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex](putting the value of π and r from the above given)
[tex]\rightarrow[/tex] [tex]\sf{=2×3.14×2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=12.56\: ft.}[/tex]
Therefore, circumference of the given circle = [tex]\sf{12.56\: ft.}[/tex]
_____________________________
Hope it helps you:)
What is the median: _____
enter the whole number and only 1 decimal value in this answer
Answer:
55.5
Step-by-step explanation:
First, we arrange the numbers from smallest to largest and find the one in the middle. Because there are two in the middle we will add them and multiply them by two, giving us our answer. 46+65=111 111 divided by 2=55.5.
Question: The lengths of the diagonals of a rhombus are 5 inches and 8 inches. What are the interior angle measures of the rhombus?
How you must answer:
- Sketch - draw the sketch:
- Known:
-Unknown:
-Rationale:
-Exquation and expression:
Steps:
- Include a sketch
-State the Known
-State the Unkown and represent with a variable
-Provide a rationale
-Include the equation, exact answer, and decimal approximation
Answer:
The interior angles are approximately 64.02 degrees and approximately 115.98 degrees
The drawing is below.
==========================================================
Explanation:
A rhombus always has perpendicular diagonals. The two diagonals form four identical (aka congruent) right triangles as the figure shows below.
Notice how I've marked x and y as the unknown acute angle measures. Also, the two diagonals divide each other in half. The 8 splits into 4+4 and the 5 splits into 2.5+2.5
----------------------
Focus on one of the right triangles (they're all identical so it doesn't matter which you go for). We can use the tangent ratio to help determine the value of x.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{x}) = \frac{2.5}{4}\\\\\tan(\text{x}) = 0.625\\\\\text{x} = \tan^{-1}(0.625)\\\\\text{x} \approx 32.005383^{\circ}\\\\\text{x} \approx 32.01^{\circ}\\\\[/tex]
Angle x is roughly 32.01 degrees.
Make sure your calculator is in degree mode.
---------------------
Similar steps can be done to find the value of y.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{y}) = \frac{4}{2.5}\\\\\tan(\text{y}) = 1.6\\\\\text{y} = \tan^{-1}(1.6)\\\\\text{y} \approx 57.994617^{\circ}\\\\\text{y} \approx 57.99^{\circ}\\\\[/tex]
Or you could use the value of x to compute y like this
x+y = 90
y = 90 - x
y = 90 - 32.005383
y = 57.994617
y = 57.99
---------------------
Once we figure out x and y, it's simply a matter of doubling those values to get the interior angles of the rhombus. This is because we have the x angles next to each other to form two of the interior angles. So we have x+x = 2x = 2*32.01 = 64.02 degrees as one interior angle of the rhombus. The value is approximate.
The other interior angle is roughly y+y = 2y = 2*57.99 = 115.98 degrees
Notice how 2x+2y = 64.02+115.98 = 180
For any rhombus, the adjacent angles are supplementary (they add to 180 degrees).
Write the expression. Then, check all that apply.
a number cubed increased by four
Answer: C and B
Step-by-step explanation: because its rational.
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Amy earns £10.00 per hour. She gets a raise, and her new hourly rate is £11.50 What is the percentage change in her hourly rate?
Percentage Change = (new rate - old rate) / (old rate)
New Rate = 11.5
Old Rate = 10
(11.5 - 10) / 10
1.5 / 10 = 15 / 100 = 0.15 = 15%
The percentage change in her hourly rate is 15%.
Hope this helps!
The length of the base of a parallelogram is 18 centimeters. the parallelogram has an area of 450 square centimeters.
what is the height of the parallelogram?
enter your answer in the box
Answer:
h = 25 cm
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
given A = 450 and b = 18 , then
18h = 450 ( divide both sides by 18 )
h = 25
Answer:
h = 25cm
Step-by-step explanation:
Which answers describe the shape below? Check all that apply.
Answer: C, D, and F
-> C. Quadrilateral
-> D. Parallelogram
-> F. Rectangle
Step-by-step explanation:
-> A. Square
[✗] A square needs 4 congruent sides, this only has "two sets of two"
-> B. Trapezoid
[✗] A trapezoid has one pair of parallel sides, but this shape has two
-> C. Quadrilateral
[✓] This shape has four sides
-> D. Parallelogram
[✓] This shape's opposite sides are congruent and parallel
-> E. Rhombus
[✗] This shape's opposite angles/sides are equal, but not all of it's sides are congruent
-> F. Rectangle
[✓] This shape has four sides, and it's opposite sides are congruent
Solve the following equations and check your solution using substitution.
5−x=−2
(BTW can you show the working out for the question)
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
We can add the same quantity to both sides of the equations, and still have an equivalent equation. Let's add [tex]x+2[/tex] to both sides, then sum like terms
[tex]5-x +x+2 = -2 +x+2\\5+2 = x\\7=x[/tex]
(this is the rule that allows us to move items from one side do the other of the equal sign by changing its sign)
At this point we have a solution, let's replace it to verify
[tex]5-(7) = -2\\-2=-2[/tex]
Find the 72nd term of the arithmetic sequence -27, -11, 5, ...
Step-by-step explanation:
first identify the common difference
The first term which i will define by u⁰=-27
u¹=u⁰+(1)d where d is the common difference and u¹ is the second term
u¹=-27+d
-11=-27+d
d=27-11=16
The 72nd term would be u⁷¹ since we started from u⁰ as our first term:
Use the explicit relation given by:
u(n)=u⁰+(n)d
u(71)=-27+71(d)
u⁷¹=-27+71(16)
u⁷¹=-27+1136
u⁷¹=1109
What is the distance from L1 to D? That is, what is the measure of the line segment L1D? Hint: review the diagram in "The Race Course" section of the Performance Task
there are no images.
A line segment in geometry is the part of a line which is bounded by two distinct end points.
What is line segment?Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.
A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.
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can someone help me with this please
Answer:
40 ft^2
Step-by-step explanation:
Composite shapes make a square and rectangle
4 x 4 = 16
6 x 4 = 24
24 + 16 = 40
Answer:
24 unless my mind died
Step-by-step explanation:
8+16 :D
Let m and n be two positive integers greater than 1 . If
[tex] \displaystyle\sf \lim_{a\to 0 }\bigg\lgroup \dfrac{e^{\cos(a^n)}-e}{a^m}\bigg\rgroup =-\bigg\lgroup \dfrac{e}{2}\bigg\rgroup [/tex]
Then the value of [tex]\dfrac{m}{n}[/tex] is ?
14. in the figure at the right, ∠2 and ∠5 are_____ A. complementary angles B. linear pair C. supplementary angles D. vertical angles
Answer this please
Reason:
When two lines cross to form an X shape, the opposite pairs of angles are known as vertical angles. They are always congruent to one another.
They do not have to be vertically aligned (meaning the angles could be sitting side by side). Example: In problem 15, angle 1 and angle 3 are vertical angles that are congruent.
For the holiday blockbuster movie
premier, the Acme theater ran 16
showings for opening day. If each
theater room holds 115 people and each
showing was filled, how many people
viewed the movie on the first day?
A 99 people
B 131 people
c 1,725 people
D 1,840 people
Answer:
1 theater room holds 115 people, it says that each showing was filled so that means that there were 115 for every 1 showing. There were 16 showings, so you multiply 115 x 16 which equals to 1,840 people.
Claudius took out an unsubsidized stafford loan at the beginning of his six-year college career. the loan had a principal of $4,850, an interest rate of 6.5% compounded monthly, and a duration of ten years. if claudius started paying off the loan when he graduated, what is his monthly payment? round all dollar values to the nearest cent. a. $71.37 b. $81.25 c. $55.07 d. $76.55
Answer:
b.
$81.25
Step-by-step explanation:
taking it rn
Answer:
b 81.25
seen it on quizlet
Step-by-step explanation:
The triangle is not necessarily drawn to scale, and the angles can vary. Create a compound inequality for the side length x using the Triangle Inequality.
A. 2 < x < 12
B. 5 < x < 7
C. 5 < x < 12
D. 2 < x < 7
Answer:
A
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
7 - 5 < x < 7 + 5
2 < x < 12
Omega House Family restaurant is midway between Forsyth Tech Community College
and the Dash baseball stadium. The coordinates of Forsyth Tech are (7, −5) and the
coordinates of the Dash baseball stadium are (−4, 3). What are the coordinates of the
Omega House?
The coordinates of Omega house is (3/2, 1)
Data;
Forsyth Tech = (7,-5)Stadium = (-4, 3)Midpoint of a LineTo find the coordinates of Omega house, we can use the formula of midpoint of a line since Omega house falls between Forsyth Tech and Stadium
[tex]x,y = (\frac{x_1+ x_2}{2} , \frac{y_1+y_2}{2})[/tex]
We can substitute the values and solve for both x and y coordinates.
[tex]x = \frac{x_1+x_2}{2} \\x = \frac{7 + (-4)}{2} = \frac{3}{2}[/tex]
The value of the y-coordinate is
[tex]y = \frac{-5+ 3}{2} = 1[/tex]
The coordinates of Omega house is (3/2, 1)
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hello evryone. please help if you know the answer. donr help if u dont know the answer. ill give brailest to the first person that answers
a WHOLE is always simplified to "1", namely 100/100 = 1, 57/57 = 1 and so on. Well, in this case we have a total of 21 students, so 21/21 is all of them, their "whole", but we also know that 6 of them read about animals and the rest about plants, so
[tex]\stackrel{whole}{\cfrac{21}{21}}\qquad \qquad \cfrac{\stackrel{animals}{6}~~ + ~~\stackrel{plants}{15}}{21}\implies \cfrac{6}{21}~~ + ~~\stackrel{plants}{\cfrac{15}{21}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{15}{21}\implies \cfrac{3\cdot 5}{3\cdot 7}\implies \cfrac{3}{3}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \boxed{\cfrac{5}{7}}[/tex]
Answer:
I think its 5 over 7
Step-by-step explanation:
because 6-21 equals 15 so 15 is how many read about plants out of the total students at the library which is 21.if you divide 15 over 21 by 3 you get 5 over 7
What is X equal to in this?
x / 33 = 40 / 24
x = 40 / 24 * 33 = 55
Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.
Answer:
Dimension 1 = 12 x 8
Dimension 2 = 14 x 6
Chris should choose Dimension 1
Step-by-step explanation:
Perimeter of a rectangle = 2 × width + 2 × length
= 2(width + length)
Given:
perimeter = 40m⇒ 40 = 2(width + length)
⇒ width + length = 20 m
Therefore, possible dimensions:
Dimension 1 = 12 x 8 (as 12 + 8 = 20)Dimension 2 = 14 x 6 (as 14 + 6 = 20)We need to calculate the area of both choices. The choice with the greatest area will allow the most vegetables to be planted.
Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²Therefore, Chris should choose Dimension 1 (12 x 8).
round 4184 to the nearest hundereth
Answer:
4200
Step-by-step explanation:
I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.