Answer:
3
Step-by-step explanation:
Given that:
Integers : x, x + 1, x + 2
6x - 2(x + 1) = (x+2) + 5
6x - 2x - 2 = x + 2 + 5
4x - 2 = x + 7
4x - x = 7 + 2
3x = 9
x = 9/3
x = 3
First integer = x = 3
2nd integer = x + 1 = 3+1 = 4
3rd Integer = x + 1 + 1 = 3 + 2 = 5
In the figure shown, AB = 8 and AD = 5. What is BC?
BC=type your answer...
Answer:
AB = 8 and AD = 5
Ad=BC ( given in fig or as its is rectangle and sides of rectangle are equal )
so BC = 5
use the quotient rule to find the derrivatives of 3/x^2
With full process
Answer:
[tex]\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}[/tex]
Step-by-step explanation:
We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².
Power Rule: [tex]\displaystyle \frac{d}{dx}[ x^n] = nx^n^-^1[/tex]Rewrite [tex]\displaystyle \frac{3}{x^2}[/tex] as [tex]\displaystyle 3\cdot \frac{1}{x^2}[/tex] which is equivalent to [tex]3\cdot x^-^2[/tex].
Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.
3(-2)x⁻³ = -6x⁻³This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex].
Quotient Rule: [tex]\displaystyle \frac{d}{dx} \Big [ \frac{f(x)}{g(x)} \Big ]=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]Substituting 3 for f(x) and x² for g(x), we get:
[tex]\displaystyle \frac{(x^2)(0)-(3)(2x)}{(x^2)^2}[/tex]Simplify.
[tex]\displaystyle \frac{-6x}{x^4}[/tex]Using exponent rules, we can rewrite this as:
[tex]-6x^1^-^4 = -6x^-^3[/tex]This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex], which is the same as what we got using the product rule.
Answer:
[tex]\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] denote two functions of [tex]x[/tex]. Assume that [tex]g(x) \ne 0[/tex]. The quotient rule states that:
[tex]\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}[/tex].
In this question:
The numerator of the fraction is [tex]f(x) = 3[/tex] (a constant function.)The denominator of the fraction is [tex]g(x) = x^{2}[/tex].Find [tex]{f}^{\prime}(x)[/tex] and [tex]{g}^{\prime}(x)[/tex].
Notice that the value of [tex]f(x)[/tex] is constantly [tex]3[/tex] regardless of the value of [tex]x[/tex]. By the constant rule, [tex]{f}^{\prime}(x) = 0[/tex].
For [tex]{g}^{\prime}(x)[/tex], consider the power rule:
if [tex]m[/tex] represents a rational number (such as [tex]2[/tex],) then by the power rule, [tex]\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}[/tex].
Apply this rule to find [tex]{g}^{\prime}(x)[/tex].
[tex]\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}[/tex].
Substitute [tex]f(x) = 3[/tex], [tex]{f}^{\prime}(x) = 0[/tex], [tex]g(x) = x^{2}[/tex], and [tex]{g}^{\prime}(x) = 2\, x[/tex] into the quotient rule expression to find [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right][/tex]:
[tex]\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}[/tex].
Therefore, [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}[/tex].
Select the correct answer.
Which expression is equivalent to 13 square root 22b - 10 square root 22b, if b>0?
A. 23 square root 22b
B. 130 square root 22b
C. 3 square root b^2
D. 3 square root 22b
Given:
The expression is
[tex]13\sqrt {22b}-10\sqrt{22b}, b>0[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]13\sqrt {22b}-10\sqrt{22b}[/tex]
Taking out common factors.
[tex]=(13-10)\sqrt {22b}[/tex]
[tex]=(3)\sqrt {22b}[/tex]
[tex]=3\sqrt {22b}[/tex]
The expression [tex]3\sqrt {22b}[/tex] is equivalent to the given expression.
Therefore, the correct option is D.
Can someone help me find the solution?
Answer:
Solution: y=2
Which of the following statements is true of the number 651.44
A) The 4 in the hundredths place has a value that is 10 times that of the 4 in the tenths place
B) The 4 in the tenths place has a value that is 10 times that of the 4 in the hundredths place
C) The 4 in the tenths place has a value that is 100 times that of the 4 in the hundredths place
D) The 4 in the tenths place has a value that is 1/10 that of the 4 in the hundredths place
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The ratio x: y is 1:3
Which of the following statements are correct?
A x is 1/3 of y
B y is 3/4 of (x + y)
x is 1/4 of y
y is 3/4 of x
Answer:
Option A
Step-by-step explanation:
x : y = 1 : 3
This can be also written as
[tex] \frac{x}{y} = \frac{1}{3} [/tex]
Multiplying y on both the sides
[tex] = > \frac{x}{y} \times y = \frac{1}{3} \times y[/tex]
[tex] = > x = \frac{1}{3} \times y[/tex]
Hence , x is one-third of y
Answer:
A and B
x is [tex]\frac{1}{3}[/tex] of y
AND
y is [tex]\frac{3}{4}[/tex] of (x+y)
Step-by-step explanation:
x:y is 1:3
=> y is bigger than x
=> y is 3x bigger than x
=> y = 3 lots of x
=> [tex]y =[/tex] [tex]3x[/tex]
=> [tex]\frac{y}{3}[/tex] [tex]= x[/tex]
=> [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]
So x is [tex]\frac{1}{3}[/tex] of y
y is [tex]\frac{3}{4}[/tex] of (x+y)
If x = 1 and y = 3 (substitute in values)
=> 3 is [tex]\frac{3}{4}[/tex] of (4)
=> 3 is [tex]\frac{3}{4}[/tex](4)
=> 3 is ([tex]\frac{3}{4}[/tex]x4)
=> 3 = 3
Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true
So the answers are:
x is [tex]\frac{1}{3}[/tex] of y
AND
y is [tex]\frac{3}{4}[/tex] of (x+y)
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
Answer:
66 pounds of tomatoes
Step-by-step explanation:
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
From the above question:
5 people = 3 pounds of tomatoes
110 people = x pounds of tomatoes
Cross Multiply
5 people × x pounds = 110 people × 3 pounds
x pounds = 110 people × 3 pounds/5 people
x pounds = 66 pounds of tomatoes
a shop is having a sale all items are reduced by 30% work out the sale price of an item normally priced at £110
Answer:
77 us dollar
Step-by-step explanation:
because I used a calculator
Answer:
77
Step-by-step explanation:
Arlinda is participating in her school reading
challenge. She reads 40 books in 6 months. If 26
of the books are fiction, then what percent of the
books that she read are non-fiction?
Answer:
14
Step-by-step explanation:
40-26=14 so therefore 14% of the books are non-fiction
HELP HELP PLEASE!! SUPER CONFUSED!
Answer:
A. 0
B. 7
C. 3
D. 9
E.9
F.3
G.1
H.5
J.7
K.5
L.1
It's just a lot of reversing operations and seeing what fits, but if you have more you want to try, just make sure you remember borrowing and carrying numbers because they make a big difference.
Someone answer this i will give you the brainlist
Utop you answer questions 8:10. Each unit on the graph represents 0.75 miles Round
answers to the nearest font when necessary
GROCERY STORE
JIM'S HOUSE
20
19
18
17
10
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
BANK
MALL
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
6. How many miles is Jim's house from the
mali?
7. Is Jim's house closer to the mall or the
bank? How many miles closer is it?
8. Jim is at his house, and his car has 25
miles until it runs out of goo Would Jim bo
able to make it from his house to the grocery
store and back without stopping for gos?
Explain
9. Jim loft his house and drove to the bank
On his way back home, Jim's wife called
when he was exactly half way home. How
many miles had Jim traveled when his wife
called?
10. Jim is hoping that a park will be built within 5 miles of his house. If a park is built at the
coordinates (12, 10), does that meet Jim's criteria? Explain.
Moreovering the Middle LLC, 2016
10
PRB
Answer:
6. 11.3 Miles
7. 1.5 Miles
8. No he would need 26 Miles , he only has 25 Miles.
9. 11.25 Miles
10. Not really it slightly goes over by about .80
Answer:
6: 15miles
7: 17miles
8: No, because just by going to the grocery is 13miles (times2) that's 26
9: 11.2 (not sure)
10: No, he said 5miles, the park is 5.8miles away from his house. (you don't have to but rounded is 6miles so he cant reach the park)
Step-by-step explanation:
Use the formula of a²+b²=c² (Pythagorean theorem)ava scored a 74% a 75% and an 80% on her first three math quizzes. What would she need to scorr on her 4th quiz to have an average of 80 percent
Answer:90
Step-by-step explanation:
IM GIVING BRAINLIEST PLEASE HELP
An elevator in a tall building is at a point 180 feet above the ground. The elevator descends at a rate of 12 feet per second. Write an equation that represents how far above the ground the elevator is after descending for x seconds.
Answer:
If you are looking for the answer it is.... y=-12x+180
Step-by-step explanation:
need helpp asap its due by 11:59pm i will give brainliest
Answer:
The solution is (-6,2)
Step-by-step explanation:
Answer:
Fr
Step-by-step explanation:
7000000000000000000000 people ate 800 pizzas how many slices would each person get?
If y is a positive integer, for how many different values of y is [tex]\sqrt[3]{144\y}[/tex]a whole number?
Answer:
2
Explanation:
I'll explain later, it has to do with prime factors, and perfect cubes.
The two values of y that work are 18, and 144.
³√(144/18) = ³√(8) = 2 [whole number]
³√(144/144) = ³√(1) = 1 [whole number]
please help me i don’t understand
9514 1404 393
Answer:
2. chord theorem; t = 10.5
3. chord theorem; x = 5
Step-by-step explanation:
For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.
2. 20t = 10·21
t = 210/20 . . . . divide by 20
t = 10.5 . . . . . . . simplify
__
3. 10(x +4) = 15(x +1)
10x +40 = 15x +15 . . . . . eliminate parentheses
25 = 5x . . . . . . . . . . . . . subtract 10x+15
5 = x . . . . . . . divide by 5
The volume of a cylinder is 72 cm. If the radius is 3 cm, what is the height
of the cylinder?
A. 12 cm
B. 8 cm
C. 24 cm
D. 4 cm
Solve the Inequality! Please help me, answer needed FAST AND QUICK! Will give BRAINIEST 10 POINTS
Answer:
z (the arrow with teh line is pinting to the z) -4
Step-by-step explanation:
Can somebody plz help solve for each question what x =?(only if u know how to do it) thanks :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD!!
Answer:
7)x=11
8)x=16
9)n=12
10)m=13
11)n=8
12)m=3
Step-by-step explanation:
Answer:
7= 11. 8=16. 9=12. 10=13 11=8. 12=3
Step-by-step explanation:
7= 9+2=11
8=12+4=16
9=9+3=12
10=8+5=14
11=7+1=8
12=3+0=3
please help!! I'm very confused
WILL GIVE BRAINLIEST PLEASE HELP ME
It would be negative (-)62
Pls help me I don't understand this..... I will mark you as brainliest... the first one who answers
Answer:
it is the first answer because it want you to roll 5 first try
Sonia has $40 in her lunch account and pays $2 each day to
eat lunch.
How long till her account has no money left?
Answer:
20 days
Step-by-step explanation:
Because to find the number of days that Sonia will have you have to divide total money ($40) by money each day ($2). And $40 divided by $2 is 20, so 20 days is the answer.
Have a most wonderfull day, and I hope you likeee the answer....so yep.
Bring 8/(a-x) to a denominator of x-a
Answer:
[tex]-\frac{8}{x-a}[/tex]
Step-by-step explanation:
[tex]\frac{8}{a-x}[/tex]
we can take common factor of -1 in the denominator
[tex]\frac{8}{-(-a+x)}=\frac{8}{-(x-a)}[/tex]
and now multiply and divide by -1
[tex]\frac{8}{-(x-a)}\cdot \frac{-1}{-1}=\frac{-8}{x-a}=-\frac{8}{x-a}[/tex]
Write z = 5 + 2i as an ordered pair in an Argand diagram.
Answer:no hablo espanol
Step-by-step explanation:
what is
5/8 dived by 6
Answer:
3.75
Step-by-step explanation:
Answer:
5/6 divided by 6 = 5/48 or 0.1041666666 repeating
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
4 more students
Step-by-step explanation:
10% of 40 is 4, since the membership went up by 10% it is clear that there are 4 more students that joined the chess club.
Answer:
10/100*40
=4 more students joined the club
Step-by-step explanation:
Will Mark Brainliest
Solve each system by elimination. Show your work
3х – 10 y = 14
3х – 9y = 15
Answer:
subtracting both equations
3x-10y=14
3x-9y=15
- - =-
_________
0-y=-1
y=1
then putting the value of y in first eqn
3x-10×1=14
3x=24
x=8
so x is 8and y is 1