the lenght of a rectangle is x+5 and it,s breath is x-5the areas of a rectangle is is x raise to the power of 2-x-15 is it true or false?
Answer:
False
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= (x + 5)(x - 5) ← expand factors using FOIL
= x² - 5x + 5x - 25
= x² - 25 ≠ x² - x - 15
A linear function is shown below. Choose the two points that are on the graph of the inverse of this function.
A- (-1, 4)
B (2 , -6)
C ( 2, -2)
D ( 1, 0)
E ( 0 , -1 )
F ( -4 , 3)
The points (2, -2) and (0, -1) lies on the inverse of the function y = (-x -2)/2 if the function is y = -2x - 2 option (C) and (E) are correct.
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 every value in the domain is related to exactly one value in the range.
In the graph, a linear equation is represented.
We can find the function of linear equation from the two points:
(-1, 0) and (0, -2)
x/-1 + y/-2 = 1
2x + y = -2
y = -2x - 2 ..(1)
From the equation, first take subject as x and find the value of x
2x = -y -2
x = (-y -2)/2
Replacing x→y and y →x
y = (-x -2)/2
The inverse of a function:
y = (-x -2)/2
Points (2, -2) and (0, -1) lies on the inverse of the function(refer to attached picture)
Thus, the points (2, -2) and (0, -1) lies on the inverse of the function y = (-x -2)/2 if the function is y = -2x - 2 option (C) and (E) are correct.
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100 POINTS I WILL MARK BRAINLIST
Solve this equation using the method of completing the square:
3x^2 + 24x - 24 = 0
Potential answers:
x = -2 +/- 4sqrt6
x = 4 +/- 2sqrt6
x = 2 +/- 4sqrt6
x = -4 +/- 2sqrt6
Answer:
[tex]\boxed{\sf x = -4 \pm 2\sqrt{6} }[/tex]
Explanation:
3x² + 24x - 24 = 0
factor the coefficient
3(x² + 8x) -24 = 0
Halve the second term and square it
3(x + 4)² -24 -3(4)² = 0
simplify the answer
3(x + 4)² -72 = 0
add 72 on both sides
3(x + 4)² = 72
divide both sides by 3
(x + 4)² = 24
square root both sides
x + 4 = ±√24
subtract both sides by 4
x = -4 ± 2√6
Answer:
[tex]x=-4\pm2\sqrt{6}[/tex]
Step-by-step explanation:
Completing the square for quadratic in the form [tex]ax^2+bx+c=0[/tex]
Given equation:
[tex]3x^2+24x-24=0[/tex]
Factor out 3:
[tex]\implies 3(x^2+8x-8)=0[/tex]
Divide both sides by 3:
[tex]\implies x^2+8x-8=0[/tex]
Add 8 to both sides:
[tex]\implies x^2+8x=8[/tex]
[tex]\textsf{Add }\: \left(\dfrac{b}{2}\right)^2\: \textsf{ to both sides}:[/tex]
[tex]\implies x^2+8x+\left(\dfrac{8}{2}\right)^2=8+\left(\dfrac{8}{2}\right)^2[/tex]
[tex]\implies x^2+8x+16=8+16[/tex]
[tex]\implies x^2+8x+16=24[/tex]
Factor the left side:
[tex]\implies (x+4)^2=24[/tex]
Square root both sides:
[tex]\implies x+4=\pm2\sqrt{6}[/tex]
Subtract 4 from both sides:
[tex]\implies x=-4\pm2\sqrt{6}[/tex]
help me solve please!!!!!!!!!
The probability of drawing a number card and then number card without replacement is 105/221 option first is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The total number of cards = 52
Total number of cards printed number on it = 36
The probability of drawing a number card and then number card without replacement:
[tex]= \rm \dfrac{36}{52}\times \dfrac{35}{51}[/tex]
= 1260/2652
= 105/221
Thus, the probability of drawing a number card and then number card without replacement is 105/221 option first is correct.
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160% of a number is 0.84. find the number.
Answer:
0.525 is the number.
X = Y/P%
X = 0.84/160%
p = 160%/100 = 1.6
X = 0.84/1.6
X = 0.525
Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?
The pool must have been empty for the entire interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
The pool must have been deeper at the end of the interval than it was at the start of the interval.
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.
What is the average rate of change?Finding out how much something changes over time is what the average rate of change is all about.
We have Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero.
As we know that the average rate of change can be calculated using:
= (Last quantity - starting quantity)/Time interval
The average rate of change, on the other hand, does not account for intermediate values, therefore you can't draw any conclusions about them.
In the given problem:
The average rate of change in depth = (Last quantity - starting quantity)/2
0= (Last quantity - starting quantity)
Final depth = Initial depth
Thus, the pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.
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3x+8y=15
2x−8y=10
Solve for x
the length of a rectangle is a inches. the width is 3 inches longer then the length. What is the area and the perimeter of the rectangle
Step-by-step explanation:
here's the answer.......
A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. Write an equation that can be used to find the original price.
Answer:
p - 14.5 = 53
Step-by-step explanation:
The original price is p.
The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.
The discounted price is $53
Equation:
p - 14.5 = 53
Need help please answer ASAP!
Answer:
46. (3) 29
47. (1) y = -4x + 3
48. (3) 3
49. (3) -1/2
50. (4) 25x - 75
Step-by-step explanation:
Question 46
Let red marbles be 2x + 3 and black marbles be x2x + 3 + x = 423x = 39x = 13No. of red = 2(13) + 3 = 29 marbles(3) 29Question 47
Parallel to a line means the slope is the same (1) y = -4x + 3Question 48
For the expression to be undefined, the denominator has to be 0x - 3 = 0x = 3(3) 3Question 49
Slope = -4 - 1 / 4 + 6Slope = -5/10Slope = -1/2(3) -1/2Question 50
Total = 25xLeft 3 boxes at home = -3x = -3(25) = -75(4) 25x - 75
Can i get some help ?
Answer:
Right Angle.
Step-by-step explanation:
A right angle (90°; /2 radians) exists between a tangent to a circle and the radius across the point of contact. To put it another way, the tangent and radius are perpendicular to one another.
Answer:
I would day right angle. It sounds like the best answer
Step-by-step explanation:
Belle runs 16 times around a track that measures 1/4 mile long.
What fraction shows the distance that Belle runs?
How many whole miles does Belle run?
Look at ivan’s check register. ivan spent $158.29 on groceries. he then transferred $250 to his savings account. a check register. a is the amount debited for groceries. d is the amount debited for a transfer. the letter represents where the amount of $158.29 should be written. the letter represents where the amount of $250 should be written.
The letter A represents where the amount of $158.29 should be written.
The letter D represents where the amount of $250 should be written.
What is a Cash Register?This refers to the automated machine that is used to handle cash transactions and also for making calculations.
Hence, we can see that from the complete information, Ivan has a cash register where he records the amount he spends on groceries which is $158.29, and also the transaction of sending $250 to his savings account.
However, in the cash register, Ivan uses the letter A to show where the amount of $158.29 should be written and the letter D represents where the amount of $250 should be written.
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Answer:
A and D
Edge 2022
Find the curved surface area of this cylindrical
tube. (Multiple choice)
Use π = 3.14 and round your answer to the nearest
square metre.
14.4 m (height)
5 m (radius)
a.452 m²
b. 226 m²
C.305 m²
d.157 m²
Answer:
(a) 452 m²
Step-by-step explanation:
The lateral area of a cylinder is given by the formula ...
A = 2πrh . . . . radius r, height h
__
The given tube has an outside (or inside) area of ...
A = 2(3.14)(5 m)(14.4 m) = (3.14)(144 m²) ≈ 452 m²
Each curved surface of the tube has an area of about 452 m².
can someone do this for me please?! Just the answer pls
Answer:
Question 1: ∠V = 40° and MD = 17.62 and VD = 27.41 (work below)
Question 2: b. 60
Question 3: b. sinC
Step-by-step explanation:
please help me!
Will give you points
Answer: Horizontal means going through something like mainly through the middle, and verticle are the posts going up and down through the fence. All you have to do is combine them in figure 2 and slot them down in the boxes. Hope this helps <3
Step-by-step explanation:
Beth took out a loan at an annual compound interest rate of 30%.After 2 years she owes a total of £8112.What was the original amount that Beth Borrowed.Give your answer to the nearest £1
now, we don't have a compounding period above, so we're assuming the amount is compounding annually.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 8112\\ P=\textit{original amount deposited}\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.30\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]
[tex]8112=P\left(1+\frac{0.30}{1}\right)^{1\cdot 2}\implies 8112=P(1.3)^2\implies \cfrac{8112}{1.3^2}=P\implies 4800=P[/tex]
Which is the best peer evaluation of the conclusion? the details and mechanics are good, but sentences 2 and 3 should be reorganized to include logical transitions. the word choice and style are good, but there are punctuation and organizational errors in sentences 1 and 2. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone. the tone and style are good, but errors in grammar, spelling, and punctuation in sentences 1, 2, and 3 should be fixed.
The best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.
What is the best peer evaluation?The best peer evaluation is a critical review that critiques and provides feedback to other students on their academic work.
The purpose of a peer evaluation is to develop students' lifelong skills in assessing and providing feedback to others.
Peer evaluation also equips students with self-assessment skills to improve their own work.
Thus, the best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.
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Help me find the answer please. Thank you!
Answer:
Here is the ans...hope it helps
Select all the correct answers.
Nick wants to know the height of the students in seventh grade. He randomly notes the heights of 5 students from each seventh-grade class. The mean and median heights of the students are 55 inches and 46 inches, respectively. Which predictions match Nick's data?
1About one-half of the students are more than 55 inches tall.
2On average, the students are 46 inches tall.
3On average, the students are 55 inches tall.
4About one-half of the students are more than 46 inches tall.
(there is more than one answer)
Answer:
Below in bold.
Step-by-step explanation:
The mean is 55 therefore, by definition:
On average the students are 55 inches tall.
The median is the middle ( or the average of 2 middle) value when the data is arranged in order.
So as the media is 46 inches about half are more than 46 ins tall.
what is the rate change of the table?
The rate of change is $27 per month if the change in y values is 54 and change in x values is 2.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
From the data given in the table, we can find the rate of change per month:
To find the rate of change:
= change in y/ change in x
= (138-84)/(4-2)
= 54/2
= 27 per month
Thus, the rate of change is $27 per month if the change in y values is 54 and change in x values is 2.
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the dustance between -100 and 0
Answer:
100
Step-by-step explanation:
-100 is always going to be 100 units away from 0 no mater what
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
35.9 degrees
Step-by-step explanation:
the arctan of 0.724 is 35.9 degrees
Viktoria knows that it is impossible to remove a red marble from her bag that has no red marbles in it. if she reaches into the bag and pulls out a marble without looking, what is the probability that the marble will be red? 0 startfraction 1 over 11 endfraction three-fourths 1
Because there are no red marbles on the bag, we will see that the probability is zero.
How to find the probability?We want to find the probability that the marble will be red. Viktoria knows that her bag has no red marbles, then it is impossible to get a red marble.
The probability of an impossible event is 0 (suppose that there are 10 marbles in the bag, we have a probability of 0 out of 10 of getting a red marble).
Then we can write the probability as P = 0.
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Answer: 0 enjoy
Step-by-step explanation:
plsssssssss help plssssssssssssssssssssssssssssssssssssssssssssssssss Find the area of the triangle you only know base and side in both a 3 3/4 1 1/3
B 1 3/5 3 7/16 will give 100 points
Answer:A=hbb
2
Step-by-step explanation:
If the sides of a triangle are given along with an included angle, the area of the triangle can be calculated with the formula, Area = (ab × sin C)/2, where 'a' and 'b' are the two given sides and C is the included angle. This is also known as the "side angle side " method.
Please help ASAP!
Find the largest number which divides 60 and 75, leaving remainders 8 and 10 respectively.
answer : 13
steps:
its asking
subtract 8 from 60 which is 56
subtract 10 from 75 which is 65
then its asking
find the largest number that can divide 56 and 65
that number is
13
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Describe the transformation of the function f(x)=2|x+3| from its parent function. WHOEVER HELPS ME I WILL MARK BRAINLEST :)
Parent function is general modulus function
y=|x|Now
x is increased by +3 so change in x axis and vertex.
The vertex shifted 3 units leftwards .
And it's multiplied with 2Means compression factor is 2
Both graphs attached
Answer:
Translated 3 units leftStretched parallel to the y-axis (vertically) by a scale factor of 2
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
Parent function: [tex]f(x) = |x|[/tex]
Translated 3 units left: [tex]f(x+3)=|x+3|[/tex]
Stretched parallel to the y-axis by a factor of 2: [tex]2f(x+3)=2|x+3|[/tex]
Therefore, the function has been:
Translated 3 units leftStretched parallel to the y-axis (vertically) by a scale factor of 2Attachments
Green graph - parent function [tex]f(x) = |x|[/tex]
Red graph - Translated 3 units left [tex]f(x)=|x+3|[/tex]
Blue graph - Stretched [tex]f(x)=2|x+3|[/tex]
A kite has a part of a diagonal measure of 2.7 in and another part of 1.4 in find the area of the entire kite
Answer:
1.89 inch²
Explanation:
[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]
Here given:
diagonal 1: 2.7 inchdiagonal 2: 1.4 inchFind the Area:
[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]
12 is 48 percent of what number?
Answer:
25
Step-by-step explanation:
12 x 100 = 1200
1200 / 48 = 25
It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?
Answer
18 hours
Step-by-step explanation:
if 10 people spend 15 hours
one person spend 15/10=1.5
so 1.5 × 12=18hours