#1
-4x+5>-5-4x>-5-5-4x>-104x<10x<2.5#2
-25>-5(x+2.5)25<5(x+2.5)x+2.5>5x>2.5Answer:
1. x < 2.5
2. x > 2.5
Step-by-step explanation:
Question 1
Given inequality:
-4x + 5 > -5
Subtract 5 from both sides:
⇒ -4x + 5 - 5 > -5 - 5
⇒ -4x > -10
Divide both sides by -4 (remembering to flip the sign as we are dividing by a negative):
⇒ -4x ÷ -4 > -10 ÷ -4
⇒ x < 2.5
Question 2
Given inequality:
-25 > -5(x + 2.5)
Expand the brackets:
⇒ -25 > -5x - 12.5
Add 12.5 to both sides:
⇒ -25 + 12.5 > -5x - 12.5 + 12.5
⇒ -12.5 > -5x
Divide both sides by -5 (remembering to flip the sign as we are dividing by a negative):
⇒ -12.5 ÷ -5 > -5x ÷ -5
⇒ 2.5 < x
⇒ x > 2.5
Every triangle has __________ midsegments. : A) three B) two C) zero D) one
1. The letters of the word MASK are placed in a box. What is the probability that you get M when you pick from the box without looking? 2. Eunice and the other 5 applicants apply for a job as a nurse. What is the probability that Eunice gets hired? 3. Four boys and six girls are joining the final Math Quiz. What is the probability that one of the girls wins?
Answer:
1. 25%
2 and 3: See below.
Step-by-step explanation:
1. There are 4 letters in the box, all different. The odds of randomly picking 1 letter is 1/4, or 25% That is true for any of the letters.
Questions 2 and 3 technically cannot be answered. In both cases, the selection process involves more than random chance. The selection of a nurse depends on qualifications such as training and experience. Winning the math quiz depends on knowledge and practice. Neither question is a random selection.
If the questions were random, the answers would be:
2. 1/5 or 20% that Eunice gets picked, and
2. 6/10 or 60% that a girl wins
A farmer paid $500 per month for deliveries over 10 months. For the other 2 months of the year, he paid $600 per
month. Which numerical expression can be used to find the total the farmer paid for deliveries this year?
O 500(10) + 600(2)
O 500(12) + 600
O 500(12)
O 500(2) + 600(10)
Answer:
500(10) + 600(2)
Step-by-step explanation:
Answer:
500(10) + 600(2)
Step-by-step explanatio:
500*10+600*2
5,000+1,200
6,200
Given that XW bisects AXZ, what theorem or theorems could be used to justify that W is equidistant from the two outside rays?
Answer:
HA congruence postulate
Step-by-step explanation:
In order to show W is equidistant from A and Z, we must demonstrate that WA ≅ WZ. The HA congruence postulate can be used for that purpose.
__
proofWX bisects AXZ, so ∠WXA≅∠WXZ by the definition of an angle bisector. By the reflexive property of congruence, WX≅WX. The angles at A and Z are given as right angles.
So, we have triangles WAX and WZX that are right triangles with congruent hypotenuse and corresponding angle. These are the preconditions for the application of the HA congruence postulate. That postulate says the triangles WAX and WZX are congruent, so ...
WA ≅ WZ by CPCTC. Hence W is equidistant from the outside rays.
__
Additional comment
The definition of distance from a point to a line is the perpendicular distance from the point to the line. In this geometry, the perpendicular distances from W to the outside rays are the lengths of segments WA and WZ. That is why we need to show those lengths are the same.
Given the function h of x equals 3 times the cube root of x minus 5 end root plus 6, what is the x-intercept of the function?
6
5
–3
–5
The x-intercept of the function [tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex] is -3
How to determine the x-intercept?The function is given as:
[tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex]
The x-intercept is when h(x) =0.
So, we have:
[tex]3 * \sqrt[3]{x - 5} +6 = 0[/tex]
Subtract 6 from both sides
[tex]3 * \sqrt[3]{x - 5} = -6[/tex]
Divide both sides by 3
[tex]\sqrt[3]{x - 5} = -2[/tex]
Take the cube of both sides
x - 5 = -8
Add 5 to both sides
x = -3
Hence, the x-intercept of the function is -3
Read more about x-intercept at:
https://brainly.com/question/3951754
#SPJ1
Answer:
Step-by-step explanation:
^^
Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)
Answer:
Step-by-step explanation:
[tex]\frac{2x+4}{x(x+2)(x-4)} =\frac{a}{x} +\frac{b}{x+2} +\frac{c}{x-4} \\2x+4=a(x+2)(x-4) +bx(x-4)+cx(x+2)\\[/tex]
put x=0
0+4=a(0+2)(0-4)+0+0
-8a=4
a=-4/8=-1/2
put x+2=0 or x=-2
2(-2)+4=0+b(-2)(-2-4)+0
12b=0
b=0
put x-4=0 or x=4
2(4)+4=0+0+c(4)(4+2)
24c=12
c=12/24=1/2
[tex]\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +0+\frac{1}{2(x-4)} \\\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +\frac{1}{2(x-4)}[/tex]
Find the total surface area of this cuboid.
4 cm
5 cm
2 cm
Answer:
You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:
1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?
2. What role does creativity play in "The Bat-Poet"?
3. How does the character of Squeaky change over the course of "Raymond's Run"?
4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.
You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.
• Submit completed pre-writing and outline documents.
• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.
• Use transitions appropriate to the pattern of organization.
• Use vocabulary to create tone and voice.
• Cite primary source (quotation).
• Submit completed revision checklist.
• Vary sentence structure.
• Create sentences with parallel structures.
• Use technology in the writing process.
Step-by-step explanation:
A quadrilateral has two angles that measure 200° and 110°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?
Answer:
20° and 30°
Step-by-step explanation:
the sum of the 4 angles in a quadrilateral = 360°
given 2 angles are 200° and 110° , then remaining 2 angles sum to
360° - 200° - 110° = 360° - 310° = 50°
sum the parts of the ratio, 2 + 3 = 5 parts , then
1 part = 50° ÷ 5 = 10° , so
2 parts = 2 × 10° = 20°
3 parts = 3 × 10° = 30°
the two angles are 20° and 30°
Which is the graph of f(x) = (x + 3)(x - 2)?
6
6
4-
2
4 6
-6
4 -2
4
2
3
T
2
2
4
642
1-2
2
4 6
4
-2
2.
2
T9
2
Answer: It should look something like this.
Step-by-step explanation:
The graph of f(x) = (x + 3)(x - 2) is a parabolic function that is the product of two linear factors, (x + 3) and (x - 2).
The graph is given below.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To understand the graph, we can begin by considering the x-intercepts, which are the points where the graph crosses the x-axis.
These occur where the value of f(x) is zero, which happens when either
x + 3 = 0 or x - 2 = 0.
So the x-intercepts are x = -3 and x = 2.
Next, we can consider the leading coefficient, which is 1 in this case.
Since the leading coefficient is positive, the parabola opens upward.
We can also find the vertex of the parabola by completing the square.
We have:
f(x) = x² + x(-2 + 3) - 2(-3)
f(x) = x² + x + 6
Now we can rewrite this in vertex form:
f(x) = (x + 1/2)² + 23/4
So the vertex is (-1/2, 23/4), which is a minimum point on the graph.
Thus,
We can sketch the graph of f(x) = (x + 3)(x - 2) as an upward-opening parabola that crosses the x-axis at -3 and 2 and has a minimum point at (-1/2, 23/4).
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
(5√3-√27)^2
How do you prove this is an integer?
Expand the square. Remember that
(a - b)² = a² - 2ab + b²
With a = 5√3 and b = √27, we have
(5√3 - √27)² = (5√3)² - 2 (5√3) √27 + (√27)²
… = 25•3 - 10√81 + 27
… = 75 - 10√(9²) + 27
… = 102 - 10•9
… = 102 - 90
… = 12
Evaluate the following numerical expressions.
a. 2 × 5 + 3 × 2 + 4
b. 2 × (5 + 3 × 2 + 4)
30
c. 2 × 5 + 3 × (2 + 4)
d. 2 × (5 + 3) × 2 + 4
e. (2 × 5) + (3 × 2) + 4
f. 2 × (5 + 3) × (2 + 4)
Can the parentheses in any of these expressions be removed without changing the value of the expression? Explain why or why not.
Answer:
Step-by-step explanation:
A. 20
B. 20 (what is the 30 thing)
C. 28
D. 36
E. 20
F. 96
Which ordered pair is a solution to the system of inequalities ? (1, –5) (3, 0) (–1, –2) (1, 5)
Point (3,0) is system solution.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
We have
y> -2
x + y <4
For (1,-5):First inequation:
-5> -2 (incorrect)
Second inequality:
1-5 <4 (correct)
For (3,0):First inequation:
0> -2 (correct)
Second inequality:
0+3 <4 (correct)
For (-1,-2):First inequation:
-2> -2 (incorrect)
Second inequality:
-1-2 <4 (correct)
For (1,5):First inequation:
5> -2 (correct)
Second inequality:
1+5 <4 (incorrect)
Hence, Point (3,0) is system solution.
Learn more about inequality here:
https://brainly.com/question/20383699
#SPJ1
A sequence defined by f (1) = 3 and f (n) = 2 - f (n - 1) for n ≥ 2. Which of the following
statements defines the n' term of f?
Answer:
None of these
Step-by-step explanation:
See attached image
So
f(n)=2.f(n-1)Like that
f(2)
2.3=3×2¹f(3)
2.2.3=3×2²As you can see
It's an geometric progression
first term=a=3common ratio =r=2So the formula is
f(n)=3.2^{n-1}None of the above
URGENT PLEASE HELP. CORRECT ANSWERS GETS BRAINLIST
Usain Bolt ran the 100m final at the 2012 Olympic Games in 9,63 seconds. Convert the time he ran the race to minutes. Write your answer in scientific notation.
Answer: 1.601 × 10^-1
Step-by-step explanation: 1 minute = 60 seconds or 1 second = 1/60 minutes
9.63 seconds = 9.63/60 minutes
9.63/60 = 963/6x1000 = 321/2x1000
=160.1/1000=1.601/10 = 1.601 x 10^-1 minutes :)
Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3
Answer:
Step-by-step explanation:
As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].
The famous quadratic formula for solving any second order equation is the following:
[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]
Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,
[tex]a = 3\\b=4\\c=-2[/tex]
as the equation should be in the following form:
[tex]a x^2 + bx+c = 0[/tex]
Therefore the possible answer should be the following,
[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]
by dividing the numerator and denominator by 2, we can deduce the following,
Which pair or pairs of polygons are congruent?
Answer:
2
Step-by-step explanation:
Congruent shapes are 2 shapes that are ewual in size angles and sides, but they can be rotated or moved around in any way
What is the slope of the line x = 4?
A. 4
B. Undefined
C. 1
D.O
Factor, using magic x. x^2-8x-9
PLEASE HELP VERY URGENT THE SOONER THE BETTER.
Answer:
(x+1)(x-9)
Step-by-step explanation:
x^2+x-9x-9=0
x*(x+1)-9(x+1)=0
(x+1)(x-9)=0
x+1=0
x-9=0
x=-1 and x=9
Please need help with this things
Answer:
A B and C
Step-by-step explanation:
Simplify the expression: 4+(11-3)²
Answer:
68
Step-by-step explanation:
[tex]4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68[/tex]
5. Jared is playing a game that involves rolling a die and flipping a coin. 6. Please describe an event that may occur in this game. 7. What is the probability that he will roll a 5 and get a head
An event that may occur in the game is you roll a and get a tail.
The probability that he will roll a 5 and get a head is 1 / 12.
What is the probability?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that he will roll a 5 and get a head = (Number of sides with a 5 / number of sides in a cube) x (number of sides with a head / number of sides in a coin)
1/6 x 1/2 = 1 / 12.
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
wo containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 12 feet and a height of 13 feet. Container B has a radius of 8 feet and a height of 16 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full
The percentage of Container A that is full after the pumping is complete is; 45.3%
How to find the Volume of a Cylinder?
The formula for volume of a cylinder is;
V = πr²h
Volume of Cylinder A is;
V = π × 12² × 13
V = 1872π
Volume of Cylinder B is;
V = π × 8² × 16
V = 1024π
After pumping, volume in container A will be;
V_new = 1872π - 1024π
V_new = 848π
Percentage is;
848π/1872π * 100% = 45.3%
Thus, 45.3% of Container A is full after the pumping is complete.
Read more about Volume of a Cylinder at; https://brainly.com/question/12425898
#SPJ1
Direction: Read and understand each problem and solve. Show your solution if necessary.
1. There are 3 gold medalist, 5 silver medalist and twelve bronze medalists. One student is randomly chosen for an interview. Find the probability that the student is a silver medalist.
2. A letter is chosen from the word MATHEMATICS. What is the probability that the letter is?
a. consonant?
b. vowel?
c. not a letter A?
3. Suppose the probability that a television is defective is 0.123. What is the probability that a television is not defective?
[1] 0.25, 0.25%, or [tex]\frac{1}{4}[/tex]
We will divide the number of wanted outcomes by possible outcomes.
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}[/tex]
[2]
We will follow the same steps as problem 1.
MTHMTCS = 7 consonants
AEAI = 4 vowels
MTHEMTICS = 9 letters that are not A's
MATHEMATICS = total of 11 letters
(a)
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}[/tex]
(b)
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}[/tex]
(c)
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}[/tex]
[3] 0.877
If the probability that a television is defective is 0.123, then the probability that a television is not defective is:
1 - 0.123 = 0.877
i need help please thanks
Rewrite in simplest radical form 1 x^-3/6 . Show each step of your process.
Evaluate the expression.
1/4 × 2/5 ÷ 1/3
Write your answer as a fraction or as a whole or mixed number.
it would help if you answered it as a fraction pls
Answer:
The answer is [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
Pls help asap I’ll give brainliest show all your work to pls
Answer:
It takes 13 hours and 15 minutes to paint longer walls of the houseStep-by-step explanation:
Given:Rectangular house. Painting of the longer walls takes 8 hours longer than painting shorter walls.Total time to paint is 18.5 hours.Let the length of shorter sides be x and longer sides be y.
Then we have the system:
y = x + 8x + y = 18.5Solve it by substitution:
x + x + 8 = 18.52x + 8 = 18.52x = 10.5x = 10.5/2x = 5.25Find the value of y:
y = 5.25 + 8 = 13.25 hours or 13 hours and 15 minutesShorter one be x
longer one=x+8
Total time=18.5hSo
x+x+8=18.52x+8=18.52x=18.5-82x=10.5x=10.5/2x=5.25hoursTime required for longer side
5.25+813.25hoursWhat is the missing reason for the 4th step in the proof below?
The reason for step 4 that is missing is: definition of linear pair.
What is a Linear Pair of a Straight Line Angle?A line pair are two angles on a straight line whose sum equals 180 degrees.
Angles ANV and ANR line on a straight line and are therefore linear pair. This implies that:
m∠ANV + m∠ANR = 180 degrees
Therefore, the missing reason is: definition of linear pair.
Learn more about linear pair on:
https://brainly.com/question/13218054
#SPJ1
I NEED HELP ASAP Which graph represents the function?
f(x)=√x + 1
Answer:
Step-by-step explanation:
It looks like the best option is 3.
Given the equation,
we can make a table. x as input and y as output to get our points to the graph.
I have used the desmos graph as a reference to confirm the equation by graphing also. The table is also there.
which description is represented by a discrete graph
The statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.
What is Discrete Graph?A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.
Here only first option shows a graph with scattered point.
Thus, the statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.
Learn more about Discrete graph from:
https://brainly.com/question/9697809
#SPJ1