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Answer:
f(-x) = x^2 -3x +9
Step-by-step explanation:
Use -x as the argument of the function.
f(-x) = (-x)^2 +3(-x) +9
f(-x) = x^2 -3x +9 . . . . . . . . simpify
F(x) = (x-2)(x + 1)
X+1
Which statements describe the end behavior of the graph of the function shown? Check all that apply.
As x,
y1.
As x,y".
As x,y -—-.
As x,y 1.
As x,y.
As x + y -0.
Answer:
the second and the last one
Step-by-step explanation:
answer was revealed on edg after i took quiz
The option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).
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.
We have a function shown in the picture.
f(x) = (x - 2)(x + 2)/(x + 1)
The above function is a fractional function:
The denominator of the function cannot be zero:
x + 1 ≠ 0
x ≠ -1
From the graph of a function:
If x → ∞, y → ∞
If x → –∞, y → –∞
Thus, the option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).
Learn more about the function here:
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Jimmy's dog weighed 60 pounds 4 months ago. Since then his weight has increased by 6% How much does Jimmy's dog weigh now
Answer: 3.6
Step-by-step explanation:
Answer:
63.6 pounds
Step-by-step explanation:
Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.
So 6% of 60 is
[tex]\frac{x}{60} *100=6[/tex]
x=360/100
x=3.6
So Jimmy's dog weighs 60+3.6=63.6 pounds
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
40%
Step-by-step explanation:
40+30+70=140
180-140= 40
Greyson will get a discount on his health insurance if he participates in their weekly step-challenge program and logs 50,000 steps a week. If his monitor calculates each step to be 2 feet, how many miles is he supposed to walk each week?
Greyson will need to walk "18.94 miles" each week. A complete solution is provided below.
According to the question,
One step's length,
= 2 feet
Total number of steps,
= 50,000
then,
→ The total distance travelled will be:
= [tex]50000\times 2[/tex]
= [tex]100000 \ feet[/tex]
We can say that the relation between feet and miles will be 5280 ft,
= 1 mile
hence,
→ [tex]100000 \ feet = \frac{100000}{5280}[/tex]
[tex]=18.94 \ miles[/tex]
Thus the above is the correct answer.
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Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.
Step-by-step explanation:
hope it is helpful for you
Here is a circle, centre O, and the tangent to the circle at the point (-3, 4) on the circle. У P (-3, 4) X -5 O Oา Find an equation of the tangent at the point P. Give your answer in the form y = ax + b where a and b are both fractions with denominator 4.
Answer:
[tex]y=\frac{3}{4}x+\frac{25}{4}[/tex]
Step-by-step explanation:
when a line is tangent to a circle, it is perpendicular to the line from the center of the circle to the intersection of the line and the circle. so first we are going to find the slope of the line in the circle.
to find the slope use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{4-0}{-3-0}=\frac{4}{-3}=-\frac{4}{3}[/tex] so the slope is -4/3
the slope of the line perpendicular to this is the opposite reciprocal: 3/4 so now we have y= 3/4 x +b, to find b plug in the point (-3,4) to get 4=-9/4 +b, b=25/4 the equation is y=3/4 x +25/4
Candice recorded outdoor temperatures as -5°C, 2°C and 1°C. Which of the following correctly compares the three temperatures?
Answer:
2°C
Step-by-step explanation:
outdoor temperature
Amanda was given three numbers: 8,
5, and 1. She needs to use two of
these numbers to make a fraction.
Can she make a fraction that is
greater than four-fifths?
Answer:
Yeah, She can.
Step-by-step explanation:
Simply using 8/5
add 8+5
think of a number path start at 8 add 2 to make 10
Answer:
- Each sum which is larger than 10 can be found by first making a 10. For example, to find 8 + 5, we can write. \begin{align} 8+5 &= 8 + (2+3) \\ &= (8+2) + 3 \\ &= 10 + 3 \\ &= 13
Step-by-step explanation:
Adding 9 to another single digit number can also be done by first making a 10. For example.
- Hope this helped ^^
(25x3) + (10x3) is my question i dont know the answer
Answer:
75+30=105....................
What is the solution to the equation below? Round your answer to two decimal places.
4e^2x + 16 = 36
A. X = 3.22
B. x = 0.80
C. x = 1.61
D. x = 1.39
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Answer:
B. x = 0.80
Step-by-step explanation:
We suspect you want the solution to the exponential equation ...
4e^(2x) +16 = 36
e^(2x) +4 = 9 . . . . . . . . . . . divide by 4 (because we can)
e^(2x) = 5 . . . . . . . . . . . . . . subtract 4
2x = ln(5) . . . . . . . . . . . . . . . take natural logs
x = ln(5)/2 ≈ 0.804719 . . . . .divide by the coefficient of x
x ≈ 0.80
Ella buys eggs and apples at the store.
She pays a total of $44.35.
• She pays a total of $2.95 for the eggs.
• She buys 6 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag
of apples costs.
Equation:
Answer: X =
Submit Answer
what is 15 times 7/5 compared to 15 equal?
Answer:
I do not know
Step-by-step explanation:
Subtract. Write your answer in simplest form.
5/- 10/5
Answer:
-1/10
Step-by-step explanation:
(5/(-10))/5 = -(5/10)/5 = 1/10
(Hopefully this helped you out!)
I need to know the answer to the two question
Answer:
Question 1:
78 - 5 - 7
Question 2:
[tex] - \frac{1}{6} [/tex]
Please help it’s due tomorrow!!
Answer:
-5/3
Step-by-step explanation:
Answer:
13 + 7/9-5-16
answer : -5/3
use BODMAS to solve this question
Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?
A. (Image 092552)
B. (Image 092607)
C. (Image 092618
D. (Image 092630)
Answer:
C. (Image 092618
Step-by-step explanation:
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]
y1 is 2
y2 is -1
x1 is -3
x2 is 7
substitute:
[tex]slope = \frac{ - 1 - 2}{7 - ( - 3)} [/tex]
In a football game, what is the probability that one team will tie and lose?
Answer:
1/3
Step-by-step explanation:
what is
{Review} 8 x 9 = *
This is a required question
4. {Review} 12 x 4 = *
5. {Review} 7 x 8 = *
6. {Review} 6 x 3 = *
7. {Review} 9 x 5 = *
8. {Review} 6 x 8 = *
9. {Review} 27 ÷ 3 = *
10. {Review} 36 ÷ 6 = *
11. {Review} 132 ÷ 12 = *
12. {Review} 110 ÷ 11 = *
13. {Review} 28 ÷ 4 = *
14. {Review} 35 ÷ 7 = *
15. {Review} 937 + 593 = *
This is a required question
16. {Review} 9,004 - 3,526 = *
17. {Review} 36 x 7 = *
18. {Review} 48 ÷ 4 = *
19. {4.NBT.A.1} __________ x 10 = 300 *
20. {4.NBT.A.1} 3,000 x 10 = __________ *
21. {4.NBT.A.1} Which numbers make this equation true? __________ x 10 =__________ *
300,000 ; 30,000
30,000 ; 300,000
30,000 ; 30,000
22. {4.NBT.A.3} Round 5,389 to the nearest 10. *
23. {4.NBT.A.3} Round 124,389 to the nearest 1,000. *
24. {4.NBT.A.3} Round 2,748,091 to the nearest 100,000. *
25. {4.NBT.A.2} Fill in the blank. 73,458 is ______ 233,101 *
greater than
less than
equal to
26. {4.NBT.A.2} Fill in the blank. 57,388 is ______ 75,388 *
greater than
less than
equal to
27. {4.NBT.A.2} Fill in the blank. 1,432,748 is ______ 1,432,478 *
greater than
less than
equal to
28. {4.NBT.A.2} Write the number three hundred forty-two thousand, five hundred seven in expanded form. *
300,000 + 40,000 + 2,000 + 500 + 7
300,000 + 4,000 + 200+ 500 + 7
30,000 + 4,000 + 2,000 + 500 + 7
29. {4.NBT.A.2} Write the number three hundred forty-two thousand, five hundred seven in standard form. *
Answer:
8 x 9 = 72
4. 48
5. 56
6. 18
7. 45
8. 48
9. 9
10. 6
11. 11
12. 10
13. 7
14. 5
15. 1530
16. 5478
17. 252
18. 8
19. 30
20. 30,000
21. 30,000; 300,000
22. 5,390
23. 124,000
24. 2,700,000
25. less than
26. less than
27. greater than
28. 300,000 + 40,000 + 2,000 + 500 + 7
29. 342,507
Step-by-step explanation:
For the rounding numbers, if the hundredth or tenth place is not 5 or more the number does not change.
(2x-5)3 =Alguien sabe cual es el resultado de esta operación
Answer:
6x - 15
Step-by-step explanation:
(2x - 5)3
3(2x) - 3(5)
6x - 15
MATH
NATION
An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points A(15,21);
B(8,21); C(8,10); D(13,8); E(19,14.5), shown in feet. The walls are 11 feet high.
The museum is going to paint four of the walls: AB, BC DE, and AE. Assume one gallon of paint is enough to cover 147
square feet
How many gallons of paint should the museum purchase? Enter your answer as a whole number.
12
1
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Answer:
3 gallons
Step-by-step explanation:
When calculations are repetitive, I find it convenient to use a spreadsheet to do them. The formulas used are ...
distance between points (x1, y1) and (x2, y2) = √((x2-x1)² +(y2-y1)²)
length of walls to be painted: AB +BC +DE +EA = 34.5 ft
area of walls to be painted: (length)(11 ft) = 379.3 ft²
gallons of paint needed: area/(147 ft²/gallon) = 2.6 gal
About 3 gallons of paint are needed to paint 4 walls of the room.
what are the coefficients of the equation y=x^2+5x+6
Answer:
1, 5
Step-by-step explanation:
a numerical or constant quantity placed before and the variable in an algebraic expression (e.g. 4 in 4x y).
Answer: 1 and 5
Step-by-step explanation:
In the coordinate plane, plot AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ given by the points A(−4, 5), B(−4, 8), C(2, −3), D(2, 0)
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Answer:
see attached
Step-by-step explanation:
The x-coordinate is the same in each pair of points, so the line segment will be a vertical line segment 3 units long.
prove that 1³+2³+....n³=n²(n+1)²/4. principle of mathematics induction
[tex]\sf 1^3+2^3\dots n^3=\dfrac{n^2(n+1)^2}{2}[/tex]
[tex]\\ \sf\longmapsto 1^3+2^3+\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2[/tex]
Solution:-Let
[tex]\\ \sf\longmapsto P(n)=1^3+2^3\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2[/tex]
For n=1
[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{1(1+1)}{2}\right)^2[/tex]
[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{1(2)}{2}\right)^2[/tex]
[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{2}{2}\right)^2[/tex]
[tex]\\ \sf\longmapsto P(1)=(1)^2[/tex]
[tex]\\ \bf\longmapsto P(1)=1=1^3[/tex]
Let k be any positive integer.
[tex]\\ \sf\longmapsto P(k)= 1^3+2^3\dots k^3=\left(\dfrac{k(k+1)}{2}\right)^2[/tex]
We have to prove that p(k+1) is true.
consider
[tex]\sf 1^3+2^3\dots k^3+(k+1)^3[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{k(k+1)}{2}\right)^2+(k+1)^3[/tex]
[tex]\\ \sf\longmapsto \dfrac{k^2(k+1)^2}{4}+(k+1)^3[/tex]
[tex]\\ \sf\longmapsto \dfrac{k^2(k+1)^2+4(k+1)^3}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{k+1)^2\left\{k^2+4k+4\right\}}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(k+1)^2(k+2)^2}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(k+1)^2(k+1+1)^2}{4}[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{(k+1)(k+1+1)}{2}\right)^2[/tex]
[tex]\\ \sf\longmapsto (1^3+2^3+3^3\dots k^3)+(k+1)^3[/tex]
Thus P(k+1) is true whenever P(k) is true.
Hence by the Principal of mathematical induction statement P(n) is true for [tex]\bf n\epsilon N.[/tex]
Note:-
We can solve without simplifying the Question .I did it for clear steps and understanding .
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Answer:
Step-by-step explanation:
[tex]1^3=1=\dfrac{1^2*(1+1)^2}{4} =\dfrac{4}{4} =1\\\\\\\displaystyle \sum_{i=1}^{n+1}\ i^3=(\sum_{i=1}^{n}\ i^3) + (n+1)^3\\\\\\=\dfrac{n^2*(n+1)^2}{4} +(n+1)^3\\\\\\=(n+1)^2*(\frac{n^2}{4} +n+1)\\\\\\=(n+1)^2*\dfrac{n^2+4n+4}{4} \\\\\\=\dfrac{(n+1)^2*(n+2)^2}{4}[/tex]
In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?
Answer:
7/17
Step-by-step explanation:
Whats the answer for this question
Answer:
m+5
Step-by-step explanation:
4m+5-3m
1m+5
Let x = 0.99999....Do you think that x < 1 or x = 1?
Answer:
x<1
Step-by-step explanation:
why? because is still 0....
A recipe calls for 3 cups of pecans for every 5 cups of walnuts. How many cups of pecans should be added to 8 cups of walnuts?
Answer:
4.8
Step-by-step explanation:
3:5
3/5 : 1
8(3/5):1(8)
4.8:8
If , then the ordered pair of f -1(10) = (10, 31) (10, 3) (3, 10)
help asap
Answer:
B
Step-by-step explanation:
f^(-1) (x) = (x-1)/3
f^(-1) (10) = (10-1)/3 = 3.
<3 help mi i’m down bad
Sol Levin sold 22 pairs of shoes each day.
Monday through Wednesday, 28 pairs on Thursday,
and 31 on Friday. How many shoes must he sell on
Saturday to average 29 pairs sold for the 6 days
he worked during the week?
Answer:
Sol Levin needs to sell 49 pairs shoes on Saturday.
Step-by-step explanation:
29 x 6 = 174
(22 x 3) + 28 + 31 + x = 174
66 + 28 + 31 + x = 174
94 + 31 + x = 174
125 + x = 174
(125 - 125) + x = (174 - 125)
x = 49