The equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
How to determine the true equations?We have:
x = -2 and x = 2
Rewrite as:
x + 2 = 0 and x - 2 = 0
Multiply both equations
(x + 2)(x - 2) = 0
This gives
x^2 - 4 = 0 --- option (a)
Add 4 to both sides
x^2 = 4
Multiply by 4
4x^2 = 16 --- option (d)
Hence, the equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
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Please explain the logics and steps to solve this problem below thank you TT
5, 10, 15, ..., 100
If each term in the sequence above is 5 more than the previous term, how many times does the digit zero appear in the sequence?
(A) 9 (B) 10 (C) 11 (D) 50 (E) 51
---
the answer is number C) 11
however the answer I've chosen was 50
Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence
Sequence and seriesSeries are defined as sum of sequences. Given the following sequence
5, 10, 15, ..., 100
The common difference is 5 and the number that have digits zero in the sequence are 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100
Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence
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A rock outcrop was found to have 78.88% of its parent u-238 isotope remaining. approximate the age of the outcrop. the half-life of u-238 is 4.5 billion years old.
Answer:
Answer:1.5*10^9 years
Step-by-step explanation:
The half life of the substance is given i.e 4.5B years. You can change it into seconds by multiplying it with 365 and 86400.
The current no of particles is given 78.88% which will be equal to 78.88 if you assume the substance had 100 no of particle initially.
Determine the decay constant by dividing 0.69 by half life
use these values in the equation for the answer.
[ln and e are inverse functions to eachother]
PLEASE HELP ME
Whats the circumstances of a circle with a radius of 2 inches? use 3.14 for pi
Answer:
12.56 Inches
Step-by-step explanation:
1. The formula to find the circumference is 2 * Pi * r
2. Using this formula we get 2 * 3.14 * 2 = 12.56
3. The radius is in inches so our final answer will also be in inches.
Answer:
The Circumference of the circle would be 12.56 inches
Step-by-step explanation:
All you have to do is multiply the radius by 2 the multiply by pi (3.14)
Use the formula and you will get that the circumference is 12.56
Hope this helped! :D
4 quick algebra 1 questions for 50 points!
Only answer if you know the answer, shout-out to subtomex0, tysm for the help!
[tex]c(g) = 7g + 52 \\ c(0) = 52[/tex]
Option CQuestion 2[tex]g(x) = x {}^{2} - 7x + 12 \\ g(x) = 0 \\ x = 3 \: \: \: \: \: \: \: \: x = 4[/tex]
Option DQuestion 1Option CLet's see
#1
y=2x²+3x-2y=2x²+4x-x-2y=(x+2)(2x-1)So
x intercepts
(-2,0) and (1/2,0)True
#2
y=7g+52y=7(0)=52y=52Option C
#3
x²-7x+12=0x²-4x-3x+12=0x(x-4)-3(x-4)=0(x-3)(x-4)=0x={3,4}Option D
#4
I solved it in your another question , Can't add that answer here due to copyright restrictions
7. Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = m x, with m > 1.
The transformation from f(x) to g(x) is a vertical stretch by a factor of m
How to determine the transformation?The functions are given as:
f(x) = x
g(x) = mx
Substitute f(x) = x in g(x) = mx
g(x) = mf(x)
From the question, we understand that:
m > 1
This means that;
The transformation from f(x) to g(x) is a vertical stretch by a factor of m
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Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(8) = 21 B. h(-3) = -1 C. h(13) = 18 D. h(2) = 16
A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2.
1.) h(8) = 21
Since the value of h(8) is 19. This can not be the correct option.
2.) h(-3) = -1
Since the range is from 1 to 25. Therefore, this is not the correct option.
3.) h(13) = 18
Since the domain is from -3 to 11. Therefore, this is not the correct option.
4.) h(2) = 16
This is the only option that is feasible. Thus, this is the correct option.
Hence, the correct option is D.
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Two friends bring lemonade to your cookout. one brings 2.7 liters and the other brings 3.54 liters. how much lemonade do they bring
The total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.
The methods we use to add or subtract decimals are as follows:
Vertically align the decimal points. Any necessary zeros should be entered.Treat the integers as whole numbers when adding or subtracting them.Align the decimal point with the numbers being added or subtracted so that it sits vertically above the sum or difference.In the question, we are informed that two friends bring lemonade to the cookout. The first brings 2.7 liters and the second brings 3.54 liters.
We are asked to find the total lemonade brought by them to the cookout.
To find the total lemonade, we add both the decimal quantities following the steps discussed.
2.7
+ 3. 54
Step 1: Adding zeroes:
2.70
+ 3. 54
Step 2: Treating them as numbers and adding:
2.70
+ 3. 54
________
624
Step 3: Aligning decimal points:
2.70
+ 3. 54
________
6.24
Thus, the total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.
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Use the graph below to answer the following question:
O 0
0 1
b
4
-3 -2
3
2
W
12
54
What is the average rate of change from x = 0 to x = 4? (6 points)
2 3
Answer: 0
Step-by-step explanation:
When x=0, y=4.
When x=4, y=4.
So, the rate of change is 0.
ABCD is an isosceles trepezoid with midsegment top enclose M N end enclose. m angle B A D equals 65 degree
The answers are as follows:
What is isosceles trapezoid?A trapezoid with its two nonparallel sides equal.
Given:
<BAD =65
As, MN is mid segment
So,
BC= 2CM
BC = 16
Now, ABCD is isosceles trapezoid
BC= AD
So, AD= 16
and, Using mid- point theorem
MN= 1/2 AB
MN = 1/2* 22
MN= x = 11
Also, co- interior angle sum is 180 in trapezium
<BAD + <BCD = 180
<BCD + 65 =180
<BCD = 115
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Ms. wilkinson's fifth-grade class is running a canned food drive. the students filled two boxes of food. there are thirty 300-gram cans of soup in one box. there are eighteen 400-gram cans of vegetables in the other box. how many kilograms of food did the students collect in all?
Answer:
16.2 kilograms
Step-by-step explanation:
30 300-gram cans = 9000 grams of soup
18 400-gram cans = 7200 grams of vegetables
9000 + 7200 = 16200 grams
1000 grams = 1 kilogram
16200 / 1000 = 16.2 kilograms
The total amount of food students collect in kilograms will be equal to 16.2 kilograms food.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
The number of cans of soup in one box = 30 cans
And each can has 300 grams of soup.
So , the total amount of soup in one box is :
= 30 × 300
= 9000 grams of soup
Now , in the other box there are 18 cans of vegetables and each can has 400 grams of vegetable.
So , the total amount of vegetable in the other box is :
= 18 × 400
= 7200 grams
Total food students collect is :
= 9000 grams soup + 7200 grams vegetables
= 16200 grams food
We know that :
1000 grams = 1 kilogram
So , converting grams into kilograms we get :
16200 / 1000 = 16.2 kilograms food
Therefore , the total amount of food students collect in kilograms will be equal to 16.2 kilograms food.
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What’s the answer to this?
Answer:
See attached image.
250 shirts at $50/shirt is the equilibrium.
Step-by-step explanation:
Which expression is equivalent to sin (pi/12)cos(7pi/12) -cos(pi/12)sin(7pi/12) ?
Answer:
-1
Step-by-step explanation:
We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.
5 calculators cost £31.25
3 pens cost £2.91
Work out the cost of 30 calculators and 30 pens.
Answer:
£216.60
Step-by-step explanation:
If 5 calculators cost £31.25, then each calculator costs £6.25
If 3 pens cost £2.91, then each pen cost £0.97
30(6.25) + 30(0.97) = £216.60
Consider the diagram.
Triangles B A E and C A D are connected at point A. Angle B A E is a right angle. Sides B A and A C are congruent. Sides B E and C D are congruent.
The congruence theorem that can be used to prove △BAE ≅ △CAD is
SSS.
ASA.
SAS.
HL.
The congruence theorem that proves that △BAE ≅ △CAD is: HL.
What is the HL Congruence Theorem?The HL congruence theorem states that, if the hypotenuse and one leg of a right triangle is congruent to the hypotenuse and a corresponding leg of another right triangle, then they are congruent triangles.
△BAE and △CAD have:
Congruent hypotenuses: BE ≅ CD.
Congruent legs: BA ≅ CA
Therefore, the congruence theorem that proves they are congruent is: HL.
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Answer: Option 4 or D. HL
Step-by-step explanation:
What is the area of this trapezoid? Enter your answer in the box.
Answer:
357 cm2
Step-by-step explanation:
The formula to find the area of a trapezoid is (b1 + b2)*h/2. When you plug in all numbers, you get 357 cm2. Hope this helps!
Write the domain and range of h using interval notation.
Ximena answered 72 questions correctly on her multiple choice history final and
earned a grade of 36%. How many total questions were on the final exam?
Answer:
200
Step-by-step explanation:
72---->36%
x------> 100%
72×100
7200÷36=200
To check, let do it the other way round. 200×0.36=72.
There was total 200 multiple choice history question in Ximena's exam.
What is the definition of the percentage?A percentage is a fraction of a whole conveyed as a number ranging from 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide this same portion of the total by the total and multiply by 100.For the given question,
Total questions answered by the Ximena is 72.
The total percentage was 36%.
Let 'x' be the total number of the questions.
Then,
36% of x = 72
36x /100 = 72
x = 7200/36
x = 200
Thus, there was total 200 multiple choice history question in Ximena's exam.
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The difference in the height of the two rectangles is 7 feet.
One rectangle has a height of 6.2 feet and another has a height of y feet.
What is the value of y?
Answer:
y = 13.2ft
Step-by-step explanation:
This is a bit of trial and error.
We know that the height of one rectangle is 6.2ft, which means we cannot subtract 7 from 6.2 to find the height of the other rectangle as it will give us a negative value and it will not make sense.
Therefore the height of the other rectangle has to be 7ft higher.
y = 6.2 + 7 = 13.2ft
Fred is playing tennis. For every 2 of his serves that land in, 4 serves land out. If he hit 22 serves in, how many serves landed out?
Answer: 44
Step-by-step explanation:
1:2 is the ratio that serves lands in and serves land out
22:44
Helen got a 7% reduction in the price of pair jeans that are normally $32. What is the approximate percent decrease in the price?
A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,
Percentage decrease = 7/32 × 100%
= 21.87%
Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.
The correct question is:
Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?
The percent decrease is approximately 15%.
The percent decrease is approximately 21%.
The percent decrease is approximately 43%.
The percent decrease is approximately 78%
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Consider triangle EFG. F 8 10 CA 55.8 OB. 82.8 OC 94.8 OD. 41.4 12 E What is the approximate measure of angle G? G Consider triangle EFG . F 8 10 CA 55.8 OB . 82.8 OC 94.8 OD . 41.4 12 E What is the approximate measure of angle G ? G
Using the law of cosines, it is found that the approximate measure of angle G is of 41.4º.
What is the law of cosines?The law of cosines states that we can find the angle C of a triangle as follows:
[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]
in which:
c is the length of the side opposite to angle C.a and b are the lengths of the other sides.In this problem, we want to find angle G, hence c = 8, then:
[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]
[tex]8^2 = 10^2 + 12^2 - 2(10)(12)\cos{G}[/tex]
[tex]240\cos{G} = 180[/tex]
[tex]\cos{G} = \frac{3}{4}[/tex]
[tex]G = \arccos{\left(\frac{3}{4}\right)}[/tex]
G = 41.4º.
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Answer: DE NADA
Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO
A relation is given below.
{(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)}
Which ordered pair can be removed to make this relation a function?
Why would removing this ordered pair make the relation a function?
Answer:
(4,1), (4,2) pairs can be removed to make relation a function.
Step-by-step explanation:
Function states the relationship of ordered pairs where set A must have unique elements.
on a piece of paper graph y>-x+2 then determine which answer choice matches the graph you drew
The answer that matches the information in the graph is zero x = -2.
How to illustrate the graph?The zeros of a function are the point on which graph intersects the x axis or we can say the value of x when y = 0.
Substitute y = 0 in the provided equation.
0 = x + 2
x = -2
The coordinate is (-2,0). Also the zero of the graph is at x = -2 because it follows the definition of zeros.
Now substitute x = 0 in the provided equation.
y = 0 + 2
y = 2
The coordinate is (0,2).
Hence, the answer that matches the information is zero x = -2.
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WILL GIVE ALL POiNTS IF ANSWERED CORRECTLY SOON! LIKE 30 MINS PLS
Given w = −168i −160j, what are the magnitude and direction of −4w? Round the answers to the nearest whole number.
232; 224°
232; 44°
928; 224°
928; 44°
Answer:
Magnitude and Direction is 928 and 44
Step-by-step explanation:
For a Vector w = (x)i+(y)j
The Magnitude of w [tex]=\sqrt{x^{2} +y^{2} }[/tex]
and the Direction of w [tex]=tan^{-1}(\frac{y}{x} )[/tex]
So for our Question , w = - 168i - 160j
Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j
Then the Magnitude of -4w = [tex]\sqrt{672^{2} +640^{2} } =928[/tex]
and the Direction of -4w = [tex]tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44[/tex] ( to the nearest whole number)
Hope it Helps:)
help me you gonna be my hero
Answer:
The second graph
Step-by-step explanation:
Well you're given the equation in slope-intercept form, which looks like: y=mx+b, where m is the slope, and b is the y-intercept. This is because the y-intercept is when x=0, so mx will becomes 0, thus leaving b alone, and making it the y-intercept. m is the slope because as x increases by 1, the y-value goes up by m, so the "rise" is m and the "run" is 1. The definition of the slope is rise/run so the slope would be m/1 or just m.
So let's analyze the equation: y=25x+40. the slope will be 25, and the y-intercept will be 40 (this is important for easily filtering very obviously wrong answer). So the linear equation will intersect the y-axis at (0, 40). Only one of the graphs intersects the y-axis at (0, 40) which is the second graph.
Need help with this geometry question
Answer:
Complementary: Angle SRP and Angle PRQ
Supplementary: Angle SRO and Angle SRQ
Step-by-step explanation:
Complementary: 90 degrees
Angle SRP and Angle PRQ
Supplementary: 180 degrees
Angle SRO and Angle SRQ
Triangles T S R and Q R S overlap at point P. Angle S T R is 66 degrees and angle S Q R is 66 degrees. The lengths of T S and Q R are both 5 inches.
Can ΔTSR and ΔQRS be proven congruent by SAS?
yes, because along with the given information on the diagram, SR ≅ RS by the reflexive property
yes, because a reflection will map ΔTSR onto ΔQRS
yes, because P appears to be the midpoint of SQ and TR
no, because not enough is information given to prove the triangles congruent by SAS
No, ΔTSR and ΔQRS cannot be proven congruent by SAS because not enough is information given to prove the triangles congruent by SAS.
What is Congruency?Two figures or objects are congruent if they have the same shape and size.
To prove using SAS congruency we should have at least two congruent side and one congruent angle.
But we don't have the sufficient information.
Hence, ΔTSR and ΔQRS cannot be proven congruent by SAS.
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Answer:
d
Step-by-step explanation:
(3, -1) and (5, 4) arrowRight (2, 3) and (4, 5) arrowRight (-5, 7) and (8, 5) arrowRight (-2, 4) and (3, -1)
This question is incomplete. Below you can find the missing content.
Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units
(3, -1) and (5, 4)
(2, 3) and (4, 5)
(-5, 7) and (8, 5)
(-2, 4) and (3, -1)
The distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.
The distance between two points can be calculated by the formula given below
Distance between two points (x1,y1), (x2,y2)= d= √(x2-x1)²+(y2-y1)²
where (x1,y1) and (y1,y2) are the coordinates of the points.
The distance between the points which is of coordinates (3, -1) and (5, 4)
d= √(5-3)²+(4-(-1))²= √4+25= √29= 5.39 units
The distance between the points which is of coordinates (2, 3) and (4, 5)
d= √(4-2)²+(5-3)²= √4+4= √8= 2.83 units
The distance between the points which is of coordinates (-5, 7) and (8, 5)
d= √(8-(-5))²+(5-7)²= √169+4= √173= 13.15 units
The distance between the points which is of coordinates (-2, 4) and (3, -1)
d= √(3-(-2))²+(-1-4)²= √25+25= √50= 7.07 units
Therefore the distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.
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comeplete the following :
Rx0 Do2 : (2,4) -> (-4, 8) (4, -8) (-4, -8)
Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right on the coordinate plane.
Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)
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anybody can help me?
Its the first one, because x wont be affected, and 1 and -3 is a constant.