Answer:
The answer would be 1 2/3.
Step-by-step explanation:
First: (Add)
5/6 + 4/6 + 1/6 = 10/6.
Leaving the denominator the same.
Next: (Breakdown)
6 can go into 10, 1 time. With 4 more left. Which is 1 4/6.
Then the numerator and denominator can be divided both by 2. Which equals 1 2/3.
Which statement describes the inverse of m(x) = x2 – 17x?
Answer:
The correct option is;
[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]
Step-by-step explanation:
The given information is that m(x) = x² - 17·x
The above equation can be written in the form;
y = x² - 17·x
Therefore;
0 = x² - 17·x - y
From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;
[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
By comparison to the equation,0 = x² - 17·x - y, we have;
a = 1, b = -17, and c = -y
Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;
[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]
Which can be simplified as follows;
[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]
And further simplified as follows;
[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]
Interchanging x and y in the function of the inverse, m⁻¹(x), we have;
[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]
We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;
m'(x) = 2·x - 17 = 0
x = 17/2
Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;
m''(x) = 2 > 0, therefore, the point is a minimum point on the graph
Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;
[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.
Answer:
b
Step-by-step explanation:
edge 2021
Can someone please help me
Answer: (b) 7.8 degrees
Step-by-step explanation: You need to pay attention to the number -8.4. It says the temperature changed by +2.7 degrees an hour for 6 HOURS. Therefore, your equation would be -8.4 + (2.7 * 6).
You have to solve whats in the parenthesis first, so your equation would end up being -8.4 + 16.2 making your answer 7.8 degrees.
A line is an undefined term because it
HELP ME PLEASE I NEED THIS <3333
Answer:
214°
Step-by-step explanation:
The arc subtending an angle at the centre are equal, that is
arc ED = 90° and
arc DF = 360° - (90 + 146)° = 360° - 236° = 124°
Thus
arc EDF = arc ED + arc DF = 90° + 124° = 214°
01:38:56
What is the scale factor of a triangle with a vertex of A(-6, 4) that has been dilated with a center of dilation at the origin so
the vertex of its image is A'(-24, 16)?
Answer:
Answer: The scale factor of the triangle is 4
Step-by-step explanation:
Football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards. How many years do they need to gain on the next play to get back their original position?
Plz answer this as soon as possible it’s my hw I have to submit it tomorrow.
Answer:
43
Step-by-step explanation:
-2+3×15
45-2
43 is the answer
A teacher surveyed all 120 of her students about their lunch and lunch schedule. The teacher asked two questions:
• Do you buy a school lunch or bring lunch from home?
Do you eat during festlunch, second lunch, or third lunch
The results showed the majority of her students eat during second lunch and most students buy a school lunch
Which two way table could be a correct representation of the results?
D
you buy lunch and your teacher asks you how much you brought from home then you divide, simple.
Jenny invests $8500 for 3 years in a savings account. She gets 2.3% per year compound interest. How much money will Jenny have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.
Answer:$9,100.09
Step-by-step explanation:
Factorise 18pq-12p
-
Answer:
6p(3q - 2).
Step-by-step explanation:
The GCF ( Greatest Common Factor) of 18pq and 12p is 6p.
So 18pq-12p = 6p(3q - 2).
MP=Rs540,discount=5%
Answer:
hi rojithapo
Step-by-step explanation:
my name is Naveen I am indian not China
my look like China boy
Please look at the question and answer
Answer:
no . of items = 10
Position of mean = (n+1)/2
= 11/2 = 5.5th item
In the data 5.5 item is the average of 5th and 6th item
median = (x+2+x+4)/2
or 25= (2x+6)/2
or 50 = 2x +6
0r 2x = 44
x =22
Answer:
X=23
Step-by-step explanation:
11,13,15,19,_,_,30,39,46
The middle number is the first dash which is represented by x+2 which is equal to 25
25-2=23 which is x
Dash 2 which is represented by x+4 is equal to 23+4=27
the difference of six times a number and 7 is -49.
Answer:
6x - 7 = 6(x + 4)
Step-by-step explanation:
The value of the number (n) is -7.
What is an Algebraic Expressions?When we apply the mathematical operations on constants and variables then we get the mathematical statements, these are known as algebraic expressions.The mathematical operators include, division, addition, multiplication and subtraction.Let a number we want to find be n.
Hence, according to the given condition, the equation will be:
⇒ 6n - 7 = -49
⇒ 6n = -42
Dividing both sides by 6, we get:
⇒ n = -7
Therefore, the number that satisfy the algebraic expression is n = -7.
Learn more about the Algebraic Expressions here: https://brainly.com/question/4348710?referrer=searchResults
#SPJ2
Which does Not round to 200?
163
266
150
221
Answer:
266
Step-by-step explanation:
Solve the equation below 7a=56
Answer:
a=8
Step-by-step explanation:
How do I do solving systems by substitution please help
The problem I'm on is x-y=-5 with x+y=1
Please show steps I need an answer before my report card comes in tomorrow
Answer:
I believe the answer is x=-2, and y=3.
Step-by-step explanation:
Given: x-y=-5
Fill in: -2-3=-5
Calculate: -5=5
-------------------------------
Given: x+y=1
Fill in: -2+3=1
Calculate: 1=1
Answer:
x = -2.
y = 3.
Step-by-step explanation:
x-y=-5
x+y=1
From the first equation
x = y - 5
Substitute this in the second equation:
y - 5 + y = 1
2y = 1 + 5 = 6
y = 3.
Substitute this into the second equation:
x + 3 = 1
x = -2.
One week, Caroline earned $183.20 at her job when she worked for 8 hours. If she is paid the same hourly wage, how much would she make the next week if she worked 13 hours?
Answer:
$297.70
Step-by-step explanation:
First, find her hourly wage:
183.20/8
= 22.9
Then, multiply this by 13:
22.9(13)
= 297.7
So, she will make $297.70 next week
Answer:
297.70
Step-by-step explanation:
Read the pdf named "Brain"
K
(
28) cm
V
1 cm
M
Han
56x-5
1.5 cm
W
Given that figure JKLMNWWXYZ. Find the value of y
Answer:
[tex] \boxed{\sf y = 6 \ cm} [/tex]
[tex] \boxed{\sf x = 25 \degree} [/tex]
Step-by-step explanation:
It is given that JKLMN [tex] \sim [/tex] VWXYZ
So, from this we can say that:
JK [tex] \sim [/tex] VW & ∠LMN [tex] \sim [/tex] ∠XYZ
i.e.
(2y - 8) cm = 4 cm & 4x° = 5(x - 5)°
Solving for y:
⇒2y - 8 = 4
Adding 8 to both sides:
⇒2y - 8 + 8 = 4 + 8
-8 + 8 = 0:
⇒2y = 4 + 8
4 + 8 = 12:
⇒2y = 12
Dividing both sides by 2:
⇒[tex] \sf \dfrac{2y}{2} = \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{2}{2} = 1: [/tex]
⇒y = [tex] \sf \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{12}{2} = 6: [/tex]
⇒y = 6 cm
Solving for x:
⇒4x° = 5(x - 5)°
Expanding right hand ride expression:
⇒4x° = 5x° - 25°
Adding 25° to both sides:
⇒4x° + 25° = 5x° - 25° + 25°
25° - 25° = 0°:
⇒4x° + 25° = 5x°
⇒5x° = 4x° + 25°
Substracting 4x° from both sides:
⇒5x° - 4x° = 4x° - 4x° + 25°
4x° - 4x° = 0°:
⇒5x° - 4x° = 25°
5x° - 4x° = x°:
⇒x° = 25°
0.2- 4/10 - 1.625=???
Answer:
-1.825
Step-by-step explanation:
Just subtract!
1. Rotate segment C D 180° around point D.
2. Rotate segment C D 180° around point E.
3. Rotate segment C D 180° around point M
Rotating CD 180 degrees around the point D would mean rotating it to the other side of D, in other words, rotating it clockwise. The new line would be D->M->C
Rotating CD 180 degrees around the point E would mean rotating it clockwise till "E" is a point of the line. The new line would be E->M->D.
Rotating CD 180 degrees would keep the line in the same position right now but with CD being in different order. The new line would be D->M->C.
Best of Luck!
Round to the nearest thousandth: 4.3218 →
Answer:
4.322
Step-by-step explanation:
You would round up because of 8.
Hope this helps!! :D
Answer:
4.322
Since 8 is greater than 5, you round upwards.
2) I have two consecutive numbers. The difference of 4 times the first and 3 times the second number is negative 25. What is the value of your two numbers?
Answer:
31
Step-by-step explanation:
Answer:
Step-by-step explanation
The anwser should be 30 or 37 because 4 times 3 is 12 then plus 25 is 37Translate the following into a verbal expression 3(4-x)+7
Answer:
3 times 4 minus a number, plus 7
3(4 - x) + 7
Are the ratios 3:9 and 21:27 equivalent? Why or why not?
Answer:
Not equivalent
Step-by-step explanation:
Given:
3:9 and 21:27We see that
21:27= 7:9Comparing:
3:9 < 7:9They have same denominator but different numerator, hence they are different
Answer: No
Step-by-step explanation:
No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers, 7 and 9, are not the same so therefore both ratios are not equivalent.
14x – 34 = 11x + 29
x=
Answer:
-1.31
Step-by-step explanation:
14x - 11x - 29x = 34
-26x = 34
x = 34/ -26
x= -1.31
in a grocery store, a P250.000 case of soft drinks is labelled, "get a 20% discount" what is the discount? what is the price of the case of soft drinks?
with solution
Consider points R, S, and T.
Point S is in the middle. Point R is below and to the left of point S. Point T is below and to the right of point S.
Which statement is true about the geometric figure that can contain these points?
Dan earns £400 over the course of a five-day week. How much is that per day?
Answer:
80
Step-by-step explanation:
Answer:
80 dollars a day
Step-by-step explanation:
400 divided by 5
= 80
hope this helps
What is the space between two rays with the same endpoint?
Answer:
Two rays that share the same endpoint form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle. An angle is also the space between the sides.
Step-by-step explanation:
Jake has a 1 in 5 chance of winning the egg and spoon race.
What is the probability that he will not win the race?
4/5
subtract 1/5 from 5/5.
Answer:
4/5
Step-by-step explanation:
if he has a 1/5 of winning, the left over chances he has has to be towards losing because we already know his chance of winning, and there is no in between, so the left over is 4/5