Answers
-1/4 x+1/2 ≥ -1/4
Step 2: Subtract 1/2 from both sides.
-1/4 x+1/2 -1/2 ≥ -1/4 - 1/2
-1/4 x ≥ -3/4
Step 3: Multiply both sides by 4/(-1).
(4/-1)*(-1/4 x) ≥ ( 4/-1)*(-3/4)
The final answer is: x ≤ 3
Hope that helps you<3
Answer:
x ≤ 3
Step-by-step explanation:
[tex]\dfrac{1}{2}-\dfrac{1}{4}x \geq -\dfrac{1}{4}[/tex]
Subtract 1/2 from both sides:
[tex]\implies \dfrac{1}{2}-\dfrac{1}{4}x-\dfrac{1}{2} \geq -\dfrac{1}{4}-\dfrac{1}{2}[/tex]
[tex]\implies -\dfrac{1}{4}x \geq -\dfrac{3}{4}[/tex]
Multiply both sides by 4:
[tex]\implies -\dfrac{1}{4}x \cdot 4 \geq -\dfrac{3}{4} \cdot 4[/tex]
[tex]\implies -x \geq -3[/tex]
Divide both sides by -1 (remembering to flip the sign):
[tex]\implies \dfrac{-x}{-1} \geq \dfrac{-3}{-1}[/tex]
[tex]\implies x \leq 3[/tex]
Related Questions
Determine if the expression - x^3 y^5 / 3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The given expression _____ a polynomial.
Answers
Answer:
it is not a polynomial it has no degree either .. and we only classify polynomials in accordance with their degrees
when is buying a house better than ranting
Answers
Answer:
Buying a home allows you to build wealth over time.
Step-by-step explanation:
no other asset can build your wealth more consistently. When you rent, you are building your landlord's wealth, and not your own. Combined with leverage, real estate appreciation can offer big returns
i need to know what 8 divided by 1 4/5
Answers
The mixed form is 4 4/9
frank bought 6 pens and 3 highlighters in the school store and paid 21$ for the whole purchase. his friend andy paid 19$ for 2 pens and 4 highlighters. if all pens cost the same and all highlighters cost the same what is the price of one pen?
HELP ASAP
Answers
The price of one pen is $1.50.
What are the linear equations?6p + 3h = 21 equation 1
2p + 4h = 19 equation 2
Where:
p = number of pens h = number of highlightersWhat is the price of one pen?In order to determine the price of one pen, take the following steps:
Multiply equation 1 by 4 and equation 2 by 3
24p + 12h = 84 equation 3
6p + 12h = 57 equation 4
Subtract equation 4 from 3
27 = 18p
p = $1.50
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DO Tuesday Write 1,003,498 in each form. Word: Expanded: need help really please
Answers
word form: one million, three thousand, four hundred ninety eight
number form : 1,003,498
expaned form 1000000 + 30000 + 400 + 90 + 8
i would so base form but i cant
Round your answer to the nearest hundredth.
Answers
Answer:
38.6598 ° or 38.66 °
Step-by-step explanation:
Sides:
a = 4 cm
b = 6.40312 cm
c = 5 cm
Angles:
A = 38.6598 °
B = 90 °
C = 51.3402 °
Other:
P = 15.4031 cm
s = 7.70156 cm
K = 10 cm2
r = 1.29844 cm
R = 3.20156 cm
Agenda:
A = angle A
B = angle B
C = angle C
a = side a
b = side b
c = side c
P = perimeter
s = semi-perimeter
K = area
r = radius of inscribed circle
R = radius of circumscribed circle
What is 163.28 + 75.459 =
Answers
The expression 163.28 + 75.459 is a sum expression, and the result of 163.28 + 75.459 is 238.739
How to solve the expression?The expression is given as:
163.28 + 75.459
The expression is best solved using a calculator.
However, in the absence of a calculator, the following steps can be applied.
Expand each term
163.28 + 75.459 = 163 + 0.28 + 75 + 0.459
Reorder the terms
163.28 + 75.459 = 163 + 75+ 0.28 + 0.459
Add the decimals and integers
163.28 + 75.459 = 238.739
Hence, the result of 163.28 + 75.459 is 238.739
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A bag contains 4 red balls, 2 green balls, 3 yellow balls, and 5 blue balls. Find each probability for randomly removing balls with
replacement.
Removing a yellow, a red, a green, and a blue ball =
Removing a blue, a green, a green, and a yellow ball =
Removing a red, a red, a yellow, and a yellow ball =
Removing a green, a yellow, a yellow, and a red ball =
Answers
Answer:
[tex]\frac{15}{4802}[/tex], [tex]\frac{15}{9604}[/tex], [tex]\frac{9}{2401}[/tex], [tex]\frac{9}{4802}[/tex]
Step-by-step explanation:
The bag has a total of (4+2+3+5) = 14 balls. Set up the proportions:
Red: [tex]\frac{4}{14}[/tex]
green: [tex]\frac{2}{14}[/tex]
yellow: [tex]\frac{3}{14}[/tex]
blue: [tex]\frac{5}{14}[/tex]
Now solve!
Removing 1 yellow, 1 red, 1 green, and 1 blue = [tex]\frac{3}{14} \cdot \frac{4}{14} \cdot \frac{2}{14} \cdot \frac{5}{14} =\frac{15}{4802}[/tex]
Removing 1 blue, 1 green, 1 green, and 1 yellow = [tex]\frac{5}{14} \cdot \frac{2}{14} \cdot \frac{2}{14} \cdot \frac{3}{14} =\frac{15}{9604}[/tex]
Removing 1 red, 1 red, 1 yellow, and 1 yellow = [tex]\frac{4}{14} \cdot \frac{4}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} =\frac{9}{2401}[/tex]
Removing 1 green, 1 yellow, 1 yellow, and 1 red = [tex]\frac{2}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} \cdot \frac{4}{14} =\frac{9}{4802}[/tex]
Which is the length of side AD?
A.1 unit
B.4 units
C.5 units
D.6 units
х
-4
-2
2
4
А
B
-2
-4
D
с
Answers
Answer:
C. 5 units
Step-by-step explanation:
What is the fifteenth term of the sequence
5,-10,20,-40,80,...?
1)-163 840
2)-81.920
3)81,920
4)327.680
Answers
Answer:
81920.
Step-by-step explanation:
1) the ration of the given sequence is -2=-10/5=20/(-10)...
2) the 15th term can be calculated according to the formula:
a₁₅=a₁*(ratio)¹⁴, then
a₁₅=5*(-2)¹⁴=-5*1024*16=81920.
What are the coordinates of A'and B'when AB is reflected in the y-axis? Show your work or explain
how you got your answer.
Answers
The coordinates of A'and B'when AB is reflected in the y-axis are; (-2,5) and (-6,3).
What are the coordinates of A'and B'when AB is reflected in the y-axis?According to the task content, it follows that the reflected points A' and B's coordinates are required.
From the graph, the coordinates of A= (2,5) and B= (6,3).
On this note, the coordinates of A' and B' upon reflection over the y-axis is; (-2,5) and (-6,3) respectively.
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What is the exact value of sin 11pi/6 radians?
Answers
Answer:
-0.5.
Step-by-step explanation:
2pi - 11pi/6 = pi/6
so the angle is in the fourth quadrant where the sine is negative.
pi/6 = 30 degrees and we know form the 30-60-90 triangle that sin 30 = 0.5,
therefore sin pi/6 = 0.5
and sin 11pi/6 = -0.5
The exact value of sin(11π/6) radians is -1/2 by using unit circle
To find the exact value of sin(11π/6) radians, we can use the unit circle and trigonometric identities.
The angle 11π/6 radians is in the third quadrant of the unit circle.
In the third quadrant, the sine function is negative.
We can find the reference angle by subtracting 2π (or 12π/6) from the given angle:
11π/6 - 12π/6 = -π/6
The reference angle is -π/6 radians.
In the unit circle, the coordinates for the angle -π/6 are (√3/2, -1/2). The y-coordinate represents the value of sine.
Therefore, the exact value of sin(11π/6) radians is -1/2.
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Evan saves 7 dollars each week. let d represents the total amount of money in dollars Evan saves after w weeks.
Answers
D to W = 19
Gives total savings on Week W $133
HELPP!!!!!!!!!!!
Match the word with the definition. You CAN use your Notes!
Question 1 options:
Practical Range
Domain
Function Notation
Vertical Line Test
Range
Practical Domain
Relation
Function
1.
A mapping from a set of inputs to a set of outputs
2.
Set of allowable inputs (usually x-values)
3.
Set of allowable outputs (usually y-values)
4.
A relation in which every element of the domain is assigned to exactly one element of the range
5.
If two points of a graph lie on ANY vertical line, the graph is NOT a function
6.
A function equation written so that the output variable (y) is replaced with the function’s name and the input variable
7.
The set of REALISTIC inputs
8.
The set of REALISTIC outputs
Answers
Answers:
RelationDomainRangeFunctionVertical Line TestFunction NotationPractical DomainPractical Range===========================================================
Explanation:
A relation is basically anything where we connect one variable to another. Usually there are math operations involved to have a predictable rule. For example, y = x+5 says "add 5 to the x input to get the y output". But we won't always have a rule like this to connect x and y.The domain is the set of allowed inputs (x values). For example, if we had the function y = 1/x, then we can plug in anything but x = 0. This is to avoid a division by zero error.The range is the set of allowed output y values. You can use a graph to determine the range, or find the domain of the inverse (assuming one exists).This is basically saying each input goes to exactly one output only. If such a thing happens, then the relation is a function.A visual way to test if you have a function is to use the vertical line test. If you can pass a vertical line through more than one point, then it is said to have failed the vertical line test and we don't have a function. Failing the vertical line test shows that a particular x value leads to multiple y outputs.Function notation is when we replace y with something like f(x) so the function name is a bit more descriptive.Let's say we had the function f(x) = 100/x. The x represents the number of people, and f(x) is the average cost per person. Before I mentioned that the domain is anything but 0, to avoid a division by zero error. Realistically, we also would make x the set of positive whole numbers (1,2,3,4,...) since x is the number of people. This is one example where a theoretical domain shrinks down to a more practical one. Since the domain shrinks in problem 7, the range is likely to shrink as well. Use a graph or table to see why this happens.Help me please
Use the Distributive Property. Fill in each blank to complete the expansion
(x + y)(x - y)= _____2-_____+______-________^2 =______^2 - 2
Answers
=
X^2 - Y^2
The tree diagram represents an
experiment consisting of two trials.
P(D) = [? ]
Answers
Answer:
9 over 11 plus 8 over 12 = 2.7
Find f(-3) for the function: f(x)= -2x^2+5x+7 show steps
Answers
Answer:
f(-3) = -26
Step-by-step explanation:
To find the answer plug -3 in for every x in the equation. Like this:
[tex]-2(-3)^{2} +5(-3)+7[/tex]
Now, simplify:
-2(9) - 15 + 7 Square -3.
-18 - 15 + 7 Multiply -2 by 9.
-26 Simplify.
So, f(-3) = -26.
Hope this helps! If you have any questions feel free to leave them in the comments!
Answer:
Step-by-step explanation:
f(-3)= -2(-3)^2 + 5(-3) + 7
-2(9) - 15 + 7
-18 - 15 + 7
-33 + 7 = -26
Determine whether points are parallel perpendicular or neither
Answers
Answer: paralell
Step-by-step explanation: addion
Answer:
a) neither because both of the lines dont have the same slope. there isnt a line is equal to x= (some value)
1-3/1--1= -1
2--3/2-1= 5
b) parallel
8-2/-4--6= 3
2--4/2-0= 3
Congruent yes or no
Congruent? _______
If so, what property? ________
Answers
Answer:
Step-by-step explanation:
Congruent by SSS ( three sides are equal in length).
help me pleeeeaseeeeeeeeeeeeeeeeeee
Answers
Step-by-step explanation:
just fill in the individual definitions and then do the fraction calculation.
c - 3x
-7/10 - 3×2/5 = -7/10 - 6/5 = -7/10 - 12/10 = -19/10
Find the length of side a in simplest radical form with a rational denominator.
Answers
Answer:
x = 5.5
Step-by-step explanation:
Using a trig ratio, you can use sin, which is opposite over hypotenuse. [tex]sin(30)\textdegree=\frac{x}{11}[/tex]
Now, multiply both sides by 11
[tex]11\cdot sin(30)\textdegree=x[/tex]
this simplifies to x = [tex]\frac{11}{2}[/tex] or 5.5.
Since sin30 is [tex]\frac{\pi}{6}[/tex] radians, it can be written as [tex]\frac{11\pi}{6}[/tex].
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answers
Answer:
52
Step-by-step explanation:
180-128
Answer:
the answer is 28 degrees
Step-by-step explanation:
all you do is subtract 180-128 since this is a supplementary angle and not a complimentary one.
What is the definition of a narrator?
A. The person who reads the story
B. The person who says all the dialogue
C. The person who writes the story
D. The person who tells the story
Answers
Answer:
D. The person who tells the story
Step-by-step explanation:
The narrator is the person telling the story, or the voice that an author takes on to tell a story.
The person who reads the story is simply a reader. They aren't narrating.
Someone who says all of the dialouge isn't a narrator either, because only saying the dialouge excludes the rest of the story. It's not telling the story.
The person who writes the story is the author, not the narrator.
Therefore, option D makes the most sense.
hope this helps!
Which classification best describes figure ABCD below?
A. rhombus
B. quadrilateral
C. trapezoid
D. parallelogram
Answers
Answer:
Parralelogram
Step-by-step:
Both of the shapes sides are parrallel to the shapes opposite sides, if you need you can look at images of a parralelogram
please give brainliest (:
Answer: D. Parallelogram
Step-by-step explanation:
Both pairs of opposite sides are parallel.
Both pairs of opposite sides are congruent.
Both pairs of opposite angles are congruent.
Diagonals bisect each other.
One angle is supplementary to both consecutive angles (same-side interior)
What is the length of one side cube?
Answers
Answer:
Step-by-step explanation:
1 unit
Find the slope and the y-intercept of the line.
5x + 8y = 31
Answers
Step-by-step explanation:
1.) Move the 5 to the other side of the equation
8y = -5x + 31
2.)
Divide by 8
y= .625x + 3.8
Answer:
5x + 8y = 31
8y = -5x + 31
y = -0,625x + 3,875
y = mx + b
m = slope
b = intercept
y = -0,625x + 3,875
slope = -0,625
intercept = 3,875
20. Which of the following shows the inverse of {0, 4), (5,-2), (-1,8), (2,5)}?
O {(0,-4), (-5, 2), (1,-8)(-2,-5)}
O {0,4), (-5, -2), (1,8), (-2,5)}
O {(4,0), (-2,5), (8,-1), (5, 2)}
O {(0,-4), (5,2), (-1,-8), (2,-5)}
Answers
Answer:
4,0), (-2,5), (8,-1), (5, 2)}
If a rectangle has a length of 10 units and an area of 50 units?, what is its perimeter?
60 units
15 units
30 units
Answers
Answer- The perimeter should be 30 units
Answer:
30 units
Step-by-step explanation:
a = bh
h = a/b
h = 50/10
h = 5
5(2) + 10(2)
10 + 20
30
The radius of a cylindrical gift box is (3x + 2) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder?
Answers
The radius of a cylindrical gift box is (3x+2) inches. The height of the gift box is twice the radius. The surface area of the cylinder is 54πx² + 84πx + 32π square inches.
What is the surface area of a cylinder?The surface area of a cylinder is given as:
2πr(r + h)
The radius of a cylindrical gift box is (3x+2) inches. The height of the gift box is twice the radius.
We need to find the surface area of the cylinder.
The radius of a cylindrical gift box is (3x+2) inches.
The height of the gift box is twice the radius = 2(3x + 2) inches
= 6x + 4 inches
The surface area of the cylinder is:
= 2 × π × (3x + 2)( 3x + 2 + 6x + 4) square inches
= 2 × π × (3x + 2)(9x + 8) square inches
= 6πx + 4π( 9x + 8) square inches
= 6πx (9x + 8) + 4π( 9x + 8) square inches
= 54πx² + 48πx + 36πx + 32π square inches
= 54πx² + 84πx + 32π square inches
Hence, The surface area of the cylinder is 54πx² + 84πx + 32π square inches.
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What is the answer to this question ?
Answers
Answer:
[tex]10x^{3}+x^{2} -1[/tex]
Step-by-step explanation:
Standard form means firstly you will combine like terms (which the problem has already done) and then rewrite the polynomial from greatest power to least power.
We have three separate parts to this polynomial:
-1 [tex]10x^{3}[/tex][tex]x^{2}[/tex]The part that has the greatest power is [tex]10x^{3}[/tex]. This is because the x is multiplied by a power of 3, which is the largest power given. Next up would be [tex]x^{2}[/tex]. Finally, -1 would come last.
Thus, the rewritten equation should look like this:
[tex]10x^{3}+x^{2} -1[/tex]
I hope this helps! If you have any questions about my work feel free to ask down in the comments!
