Answer:
[tex]x > 15.7[/tex]
Step-by-step explanation:
1) Add 5 to both sides.
[tex]x > 10.7 + 5[/tex]
2) Simplify 10.7 + 5 to 15.7.
[tex]x > 15.7[/tex]
Therefor, the answer is x > 15.7
Answer:
[tex]x \geq 15.7[/tex]
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
Inequality Form: 15.7
Hope this helps
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Find the derivative of the function using the definition of derivative.
State the domain of the function and the domain of its derivative.
f(x) = 1/10x-1/3
Answer:
(i) The derivative of the function is [tex]f' = \frac{1}{10}[/tex].
(ii) The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:
[tex]Dom\{f(x)\} = \mathbb{R}[/tex]
The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:
[tex]Dom\{f'\} = \mathbb{R}[/tex]
Step-by-step explanation:
(i) Find the derivative of the function using the definition of derivative:
The derivative is defined by the following limit:
[tex]f' = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)
If we know that [tex]f(x) = \frac{1}{10}\cdot x - \frac{1}{3}[/tex], then the definition of derivative is expanded:
[tex]f' = \lim_{h \to 0} \frac{\frac{1}{10}\cdot (x+h) - \frac{1}{3}-\frac{1}{10}\cdot x +\frac{1}{3}}{h}[/tex]
[tex]f' = \lim_{h \to 0} \frac{\frac{1}{10}\cdot h }{h}[/tex]
[tex]f' = \lim_{h \to 0} \frac{1}{10}[/tex]
[tex]f' = \frac{1}{10}[/tex]
The derivative of the function is [tex]f' = \frac{1}{10}[/tex].
(ii) State the domain of the function and the domain of its derivative:
The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:
[tex]Dom\{f(x)\} = \mathbb{R}[/tex]
The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:
[tex]Dom\{f'\} = \mathbb{R}[/tex]
using the table find the value of y when x=2
Answer:
y = 8 when x = 2
Step-by-step explanation:
y = 4x
If I need a big toilet how much money will it be the average is 100 money but I need 100 times that!!!!
Answer:
What the feek?
Step-by-step explanation:
Isandro and Yvette each have a calculator. Yvette starts at 100 and subtracts 7 each time. Isandro starts at 0 and adds 3 each time. If they press the keys at the same time, will their displays ever show the same number? If so, what is the number?
Answer: 30
Step-by-step explanation:
Yvette- 100-7
Isandro- 0+3
1.) I'm going to speed up the process and multiply by 5.
Yvette: 100-7
7 × 5 = 35
100-35= 65
65-35= 30
Isandro: 0+3
3 × 5 = 15
0+15= 15
15+15= 30
2.) If they keep going on this pattern they will have the same number on the 10 round.
Question 8 of 10 A decrease in the amount of principal owed on a loan is called what? A. Note reduction B. Payment number C. Amortization O D. Unpaid balance
Answer:
A (Note Reduction)
Step-by-step explanation:
A p e x of course
Answer: note reduction
Step-by-step explanation:
A PE C
To the nearest tenth, which is the perimeter of ABC?
61°
20
29°
B
A 9.6
o
B. 17.4
C. 27.2.
0 D 47.2
Answer:
Step-by-step explanation:
BC = 20sin(61°) ≅17.5
AC = 20cos(61°) ≅ 9.7
perimeter = 20+17.5+9.7 = 47.2
Manuel and Kristina are reviewing like terms in the problem 3x + 3 - 4x. Manuel said that 3x and 3 are like terms because they both have threes. Kristina said 3x and -4x are like terms because they both have the same variable. Who is correct? Explain.
Answer:
Kristina
Step-by-step explanation:
Kristina is correct because 3x and -4x both have the variable 'x' in common making them like terms.
Help..................
Peter’s teacher says he may have his report card percentage based on either the mean or the median and he can drop one test score if he chooses. 84%, 71%, 64%, 90%, 75%, 44%, 98% Which measure of center should Peter choose so he can have the highest percentage possible? Peter should choose the mean after dropping one test score. Peter should choose the mean without dropping one test score. Peter should choose the median after dropping one test score. Peter should choose the median without dropping one test score.
Answer:
it number 3 ok look it up
Step-by-step explanation:
my user name on is john_wick4732
Answer:
The answer is A) Peter should choose the mean after dropping one test score
Step-by-step explanation:
please mark brainlest if im right please :3Round 53,738 to the nearest thousand.
Answer:
54000
Step-by-step explanation:
53,738
3 is in the thousands place so we look at the hundreds place
7 is 5 or above so we round the 3 up to 4
54000
Steve wants to buy 40 markers for school. Markers come in packages of 10. How many packages of markers will Steve need to buy?
Answer:
steve need to buy 4 packages.
Step-by-step explanation:
1 package=10markers. 40 marker= 40/10=4
Answer:
4
Step-by-step explanation:
40/10 = 4/1 = 4
SOMEBODY HELP ME ASAP PLSSSS
Answer:
A
Step-by-step explanation:
When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.
3[tex]\sqrt{5}[/tex] is approximately 6.71.
6[tex]\frac{1}{4}[/tex] is 6.25
6.55 is, well 6.55.
From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3[tex]\sqrt{5}[/tex], 6.55 then 6[tex]\frac{1}{4}[/tex], which is Option A.
What is mZ1?
820
660
1
Answer:
∠1 = 148°
Step-by-step explanation:
the triangle interior angles = 180°
the unknown interior angle = 180° - 82° - 66° = 32°
∠1 = 180° - 32° = 148° because it is supplementary to 32° (adds together to total 180°)
please help it due rn
Answer:
B) (1/2, -8)
Step-by-step explanation:
(1, -6) and (0, -10)
Midpoint formula:
((x1+x2)/2, (y1+y2)/2)
Solving for x:
(x1+x2)/2
(1 + 0)/2
1/2
Solving for y:
(y1+y2)/2
(-6-10)/2
(-16)/2
-8
solve the inequality and describe the solution set y-6 >12
Answer:
y>18
Step-by-step explanation:
Move all terms not containing y to the right sideof the inequality.
Inequality Form:
y>18
2825
2072
2733
2069
2484
4285
2862
3353
1449
2029
1285
2982
2045
1677
1619
2597
3512
2444
1773
2284
1884
2359
2046
2364
2669
3109
2804
1658
2207
2159
2207
2882
1647
2051
2202
3223
2383
1732
2230
1147
2711
1874
1979
1319
2923
2281
1230
1665
1294
2936
Find meanfi
9514 1404 393
Answer:
2271.08
Step-by-step explanation:
The total of the 50 numbers is 113554. Then their mean is ...
113554/50 = 2271.08 . . . . the mean
Please help with this
Answer:
[tex]S_{25}=555[/tex]
Step-by-step explanation:
Given that,
In an AP, the 6th term is 39 i.e.
[tex]a_6=a+5d\\\\39=a+5d\ ....(1)[/tex]
In the same AP, the 19th term is 7.8 i.e.
[tex]a_{19}=a+18d\\\\7.8=a+18d\ ......(2)[/tex]
Subtract equation (1) from (2).
7.8 - 39 = a+18d - (a+5d)
-31.2 = a +18d-a-5d
-31.2 = 13d
d = -2.4
Put the value of d in equation (!).
39 = a+5(-2.4)
39 = a- 12
a = 39+12
a = 51
The sum of n terms of an AP is given by :
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Put n = 25 and respected values,
[tex]S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555[/tex]
Hence, the sum of first 25 terms of the AP is equal to 555.
A car travels 120 miles every 4 hours. How far does the car travel in 3 hours?
Answer:
90 miles
Step-by-step explanation:
120/4 = 30
30 m/hour
3 hours = 30x3 = 90 miles
in the problem 12+58=70,12 and 58 are called factors true or false
Answer:
false
Step-by-step explanation:
Answer:
false they are called addend s
Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8
million people, and in 2010, there were 8.7 million people.
Answer:
The annual percentage rate of change for the population of Oregon is of 8.125%.
Step-by-step explanation:
Total percentage change:
Change multiplied by 100 and divided by the initial value.
Change: 8.7 - 4.8 = 3.9 million
Initial value: 4.8
Percentage change: 3.9*100/4.8 = 81.25%
Annual percentage rate of change
81.25% during 10 years(from 2000 to 2010).
So, per year
81.25%/10 = 8.125%
The annual percentage rate of change for the population of Oregon is of 8.125%.
(1 2/3 − 5/6 )*(4−1 1/5 )÷1 5/9
PLEASE HELP
Answer:
ㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋ:)
Step-by-step explanation:
Answer:
i got 1.4
Step-by-step explanation:
1 2/3 - 5/6 = 5/6 ≅ 0.8333333
4 - 11/5 = 9/5 = 1 4/5 = 1.8
5/6 * 14/5 = 7/3 = 2 1/3 ≅ 2.3333333
2 1/3 / 15/9 = 7/5 = 1 2/5 = 1.4
Solve for n:5*8^3n+1=80
Answer:
8^(3n+1) = 80/5
8^(3n+1) = 16
(2^3)^(3n+1) = 2^4
2^(3*(3n+1) = 2^4
Having same power so;
9n+3 = 4
9n = 4-3
9n = 1
n = 1/9
Is this sample biased?
Answer:
No, this sample is not biased.
Step-by-step explanation:
Everyone in the grocery store has a fair chance of getting picked for the survey.
I hope this helped!! :3
Write an equation to describe the linear function that fits the given characteristics.
Passes through the points (1,2) and (3,-4)
Parallel to y=1/4x+5 and passes through the point (4,8).
1/4x+7 passes through (4,8) but to make it pass through (1,2) and (3,-4) would be better for perpendicular. perpendicular is -4x+6 for (1,2) and (3,-4) which is kind of the closes i had time to play with it.
The ratio of dogs to cats at the Humane Shelter is 3:9. If there are 45 dogs at the Humane Shelter, how many cats are there?
A. 405
B. 120
C. 135
D. 110
Answer:
c) 135
Step-by-step explanation:
dog ratio is 3
45 ÷ 3 = 15
therefore ratio 1 is 15
ratio 9
9×15 = 135
Can someone help me please and show work thank you
Answer:
60% decrease
Step-by-step explanation:
To work out percentage change you takeaway the original number by the new number (New number-Original number) in this case 24-60=(-36), then divide the decreased amount by the original number and multiply the answer by 100 (Decrease amount ÷ Original number x 100) for this question you'd do (-36)÷60=(-0.6) then (-0.6)x100=(-60).
The minus shows its a decrease in percentage by 60%
(I hope this helps srry if it doesn't make sense)
13. In the figure at the night, what is the
value of x?
price of a visit to the dentist is $50 if the dentist fills any cavities and additional charge of $100 for cavity gets added to the bill if it doesn't find any cavities what was the cause of the visit me
Answer:
The visit will cost you $50
Step-by-step explanation:
Set up an equation:
Variable x = number of cavities
Variable y = cost of visit
y = 50 + 100x
If you had no cavities then x will equal 0
y = 50 + 100(0)
Anything multiplied by 0 is 0
y = 50 + 0
y = 50
how do i solve this?
Answer:
m∠R = 60°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = ∠R
Opposite Leg of ∠R = 10√3
Hypotenuse = 20
Step 2: Solve
Substitute in variables [sine]: [tex]\displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}[/tex][Equality Property] Trig inverse: [tex]\displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})[/tex]Evaluate trig: [tex]\displaystyle R = 60^\circ[/tex]Find the value of k that makes the function continuous
Answer:
13/3
OR
4.33333
Step-by-step explanation:
For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.
To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction
2x^2 - 3 -15
2x^2 - 18
2* (x^2 - 9)
2 * (x + 3) (x - 3)
this is perfect because this cancels out the x - 3 on the bottom
so the function become f(x) = 2 * (x + 3)
When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12
Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.
k*(3) - 1 = 12
k*3 = 13
k = 13/3
k = 4.33