Answer:
[tex]\huge\boxed{k=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]f(x)=4x+1\\\\g(x)=3x+k\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)=4(3x+k)+1=(4)(3x)+(4)(k)+1=12x+4k+1\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)=3(4x+1)+k=(3)(4x)+(3)(1)+k=12x+3+k\\\\(f\circ g)(x)=(g\circ f)(x)\iff12x+4k+1=12x+3+k\qquad|\text{cancel}\ 12x\\\\4k+1=3+k\qquad|\text{subtract 1 from both sides}\\\\4k=2+k\qquad|\text{subtract}\ k\ \text{from both sides}\\\\3k=2\qquad|\text{divide both sides by 3}\\\\k=\dfrac{2}{3}[/tex]
What is the 25th term of the sequence, where a_1=3
3,7,11,15,19
Answer:
99
Step-by-step explanation:
just add lol
A sweater that is regularly priced at $25 is on sale for 25% off.
What is the amount of the discount?
What is the sale price?
What is the total price of the sweater including the 6.5% sales tax?
need help now plz
Answer:
Discount = 6.25
Sale Price = 18.75
6.5% tax = 1.21875
Final price = 19.96875 = 19.97
Step-by-step explanation:
25 x .25 = discount
25 - 6.25 = sale price
18.75 × 0.065 = tax
18.75 + 1.21875 = final price
Find cos θ for θ = 30°
Answer:
[tex]\frac{\sqrt{3} }{2} }[/tex]
Step-by-step
substitute θ=30° into the expression
like this cos(30°)
and then use a calculator to calculate the expression
= [tex]\frac{\sqrt{3} }{2} }[/tex]
HURRY PLEASEEEEEEE. On a coordinate plane, a point is 0.5 units to the left and 0.75 units down. The x-coordinate of the plotted point is . The y-coordinate of the plotted point is .
Answer:
-0.50
-0.75
Step-by-step explanation:
trust me
Answer: the person above me is correct^^^^^^^
Based on the two way frequency table above, what is the percentage of individuals that selected sports cars as their preferred vehicle?
65%
35%
55%
45%
Answer:
84/240×100=35%
Step-by-step explanation:
hope its correct
PLEASE ANSWER ASASP!!!!!!!!!!!!!!1
Oliver is training for a marathon. In practice, he runs 15 kilometers in 72 minutes. What is his speed in kilometers per hour?
Answer:
12.5 km/hr
Step-by-step explanation:
An hour is 60 minutes.
So 15km/72min = x km/60min
15*60 = 72*x
x = 12.5
Answer:
12.5 km/hr
Step-by-step explanation:
If he runs 15km in 72minutes,
15km/72min = .208333 km per minute
there are 60 minutes in a hour
.208333 km/min * 60min/hr = 12.5 km/hr
Given: circle P with diameter RS TW
prove: RTW is isosceles
Answer:
Step-by-step explanation:
First, the RS is perpendicular to TW. That is paired with "Given".
Then arc mTR = arc mRW. This is paired with, "Diameter perpendicular to a chord bisects major arcs".
After that, chord TR = chord RW. You'll pair this up with "If arcs are =, chords are =".
Finally you'll pair Triangle TRW is isosceles with "Definition".
RS perpindicular TW Given
m RT= m RW Diameter perpindicular to chord bisects major arcs
TR = TW If arcs are =, chords are =
TRW is issocolees Definition
select all the equations on which the point (10, 0) lies.
Answer:
A. 2x+4y=20 B. x+6y=10 C. 3x+3y=13 D. 4x+2y=20
a multiplication that corresponds to each division 10 divided by 5=?, b. 4.5 divided by 3, 1/2 dvided by 4=?
Answer:
10 divided by 5=2
2*5=10
4.5 divided by 3=1.5
3*1.5=4.5
1/2 divided by 4=1/8
4*1/8=4/8=1/2
please help me asap !!!
Answer:
The Answer Will Be 45 SQ. CM
Step-by-step explanation:
Im thinking of a number 1 give you a clue: it is less than 6.
Show every possible number
Answer:
x<6
Step-by-step explanation:
x is less than six thats what the answer means
Answer:
5,4,3,2,1
Step-by-step explanation:
Which expression is equivalent to 2x4y3
PLZ HELP Write an algebraic expression for the following phrase. the product of five and k
Answer:
5k
Step-by-step explanation:
Only do 33 and 47 :)
Answer:
Q No 33: After solving c-1 we get the answer : 11
Q No 47: a) Money earned for mowing 1 lawns = 15 dollars
b) Money earned for mowing 7 lawns = 105 dollars
Step-by-step explanation:
Question No 33
We are given: a=3, b=2 and c=12
We need to evaluate c-1
It can be solve by placing the value of c, given in question and then subtract 1 from it.
We are given:
[tex]c-1\\Put\:c=12\\=12-1\\=11[/tex]
So, after solving c-1 we get the answer : 11
Question No 47
You can earn 15n dollars for mowing n lawns. How much do you earn for mowing 1 lawn? 7 lawn?
Money earned for mowing n lawns = 15 n
Money earned for mowing 1 lawn:
Put n = 1 in the equation:
[tex]15 n\\=15(1)\\=15[/tex]
So, Money earned for mowing 1 lawns = 15 dollars
Money earned for mowing 7 lawn:
Put n = 7 in the equation:
[tex]15 n\\=15(7)\\=105[/tex]
So, Money earned for mowing 7 lawns = 105 dollars
What’s the mean,median,mode and range
Answer:
Mean=2.1
Median=2
Mode=1,2, and 3
Range=5
Step-by-step explanation:
Mean is all the numbers added up and then divided by the amount of numbers there are, so 0+1+0+2+3+1+3+5+4+2=21, and then 21 divided by 10=2.1
Median is lining all the numbers up least to greatest and then finding the middle number, which is 2.
Mode is the number that appears the most, and since 1,2,3 all appeared twice in the data, they are the mode.
Range is the highest number in the data subtracted by the lowest number in the data, so 5-0=0
(hope this helps!)
Lynda has $32.00 to spend at the grocery store on boxes of macaroni and cheese. The cost is $3 per box. In addition, her mom told her to buy some oranges that will cost $5. Which equation will let Lynda know how many total boxes of macaroni and cheese,m, she can buy?
A.32 = 5m + 3
B.32 = 3m + 5
C.32 = 3(m - 2) - 5
D.32 = 3(m - 2) + 5
Answer:
B. 32 = 3m + 5Step-by-step explanation:
Total money to spent = $32Cost of macaroni and cheese = $3 per boxNumber of boxes = mCost of oranges = $5Cost of macaroni and cheeses: 3m
Required equation is:
32 = 3m + 5Correct option is B
True or false? 3a+15b is divisible by 3 for any values of a and b.
Answer:
true
Step-by-step explanation:
its TRUE :)
Answer:
False
Step-by-step explanation:
Take a=-1 and b=-1/7
-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove
Without a calculator, solve 2 1/3 + 6 3/5 = ?
(answer in fraction form)
Answer:8 14/15
Step-by-step explanation:
(2+6)+(1/3+3/5)
8+ (1/3+3/5) Find the common denominator
8+(5/15+9/15)
8 14/15
What is the opposite of 64
Answer:
-64
Step-by-step explanation:
Answer:
the answer is -64
5) Which expression is equivalent to 8(u + 5) *
O 8+40
O 8u +5
O 8(5)
8u + 40
Answer:
Your answer is 8u+40
Step-by-step explanation:
Here you go mate
Step 1
8(u + 5) equation
Step 2
(u + 5)8 simplify
(8)(u)+(8)(5)
Step 3
(8)(u)+(8)(5) add and subtract it
answer
40+8u
1. A worker in a company work 7 hours in a day, there are 22 working days in a month other than working hours each worker works 8 extra hours in a month, how many hours a worker is working in a full month?
Answer: A worker is working 162 hours in a month.
Step-by-step explanation:
Working hours per day = 7
Total working days = 22
Extra hours per month = 8
Total hours a worker works in a month = (Working hours per day) x (Total working days) +(Extra hours per month)
Total hours works in month = = 7 x22+8
= 154+8
= 162 hours
Hence, a worker is working 162 hours in a month.
Which choice is equivalent to the product below?
..
Someone pls help
Answer:
Answer B
Step-by-step explanation:
√2 * √8 * √4
√8 = √(2*2*2)
√8 = 2√2
√4=2
√2* 2√2 *2
2*2*2
B
You just worked a week for Jan's Jewels. Your pay before deductions was $101.46 and you worked 19 hours.
How much did you make per hour?
O $4.90
O $5.16
O $5.34
O $6.88
which equation demonstrates the distributive property
6. Rudi deposited $100 at the end of each month in an annuity that paid 7.5%
compounded monthly. At the end of 6 years, the interest rate increased to 8.5%.
The deposits were continued for another 5 years. What is the amount of the
annuity at the last deposit? (4 marks)
Answer:
1005
Step-by-step explanation:
Solve 2x^2 + x - 15 = 0
Step-by-step explanation:
[tex] \tt{2 {x}^{2} + x - 15 = 0}[/tex]
USING THE QUADRATIC FORMULA :
Here ,
a = 2 , b = 1 and c = - 15Substitute the values into the quadratic equation :
⇾ [tex] \tt{x \: = \: \frac{ - b \: ± \: \sqrt{ {b}^{2} - 4ac} \: }{2a} }[/tex]
⇾ [tex] \tt{x = \frac{ - 1\: ± \: \sqrt{ {1}^{2} - 4 \times 2 \times ( - 15) } }{2 \times 2}} [/tex]
Simplify
⇾ [tex] \tt{x = \frac{ -1 \:± \sqrt{1 - 8 \times ( - 15)} }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1\:± \: \sqrt{1 + 120} }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1 \:± \: \sqrt{121} }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1\: ± \: \sqrt{ {11}^{2} } }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1 \:± \: 11 }{4}} [/tex]
Now , we can split this into two answers because of the plus minus ( ± ) symbol.
Taking positive ( + ) sign :
⇾ [tex] \tt{x = \frac{ - 1+ 11}{4}} [/tex]
⇾ [tex] \tt{x = \frac{10}{4}} [/tex]
⇾ [tex] \boxed{ \tt{x = \frac{5}{2} }}[/tex]
Again , taking negative ( - ) sign :
⇾ [tex] \tt{x = \frac{ - 1 - 11}{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 12}{4}} [/tex]
⇾[tex] \boxed{ \tt{x = - 3}}[/tex]
☥ [tex] \red{ \bold{ \boxed{ \boxed{ \tt{Our \: final \: answer : x = \frac{5}{2} \: or \: - 3}}}}}[/tex]
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
[tex] \underline{ \underline{ \sf{Explore \: more !!}}} : [/tex]
There are various methods of solving quadratic equations. They are as follows :
Solving a quadratic equation by factorisation method : In this method , the second order of polynomial ax² + bx + c is factorised and expressed as the product of two linear factors. Then each linear factors is separately solved to get the required solutions of the equation by applying zero factor property. In zero factor property , if p • q = 0 then either p = 0 or q = 0 .In other words , if the product of two numbers is 0 , then one or both of the numbers must be zero.Solving a quadratic equation by completing the square : In this method , we transpose the constant term ( c ) to R.H.S , then L.H.S to expressed as perfect square expression.Solving a quadratic equation by using formula : In solving a quadratic equation of the form ax² + bx + c = 0 by completing the square , we obtain two roots of x , which are :[tex] \sf{ \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a}} [/tex] and [tex] \sf{ \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a}} [/tex]. These roots can be written as [tex] \sf{x = \frac{ - b \: ± \: \sqrt{ {b}^{2} - 4ac} }{2a}} [/tex] where a is the coefficient of x² , b is the coefficient of x and c is the constant term. We use this formula to find the required solutions of the given quadratic equation.Hope I helped! ツ
Have a wonderful day / night ! ♡
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The solutions to the quadratic equation [tex]2x^{2} + x - 15[/tex] are x = 2.5 and x = -3.
Given data:
The quadratic equation is represented as [tex]2x^{2} + x - 15[/tex].
Now, the roots are determined as:
[tex]x_{1}=\frac{-b+\sqrt[]{b^{2}-4ac} }{2a}[/tex]
[tex]x_{2}=\frac{-b-\sqrt[]{b^{2}-4ac} }{2a}[/tex]
The value of a = 2 , b = 1, and c = -1.5
Substituting the values in the equation:
[tex]x_{1}=\frac{-1+\sqrt[]{1^{2}-4*2*(-1.5)} }{2*2}[/tex]
So, the value of [tex]x_{1}=2.5[/tex].
[tex]x_{2}=\frac{-1-\sqrt[]{1^{2}-4*2*(-1.5)} }{2*2}[/tex]
The value of [tex]x_{2}=-3[/tex].
So, the roots are x = 2.5 and x = -3.
Hence, the quadratic equation is solved.
To learn more about quadratic equations, refer:
https://brainly.com/question/25652857
#SPJ6
Evaluate 4 x 7 + 19 x 11
Answer:
23x+18 or 313
Step-by-step explanation:
Addie increased the amount of chocolate chips she used for the cookie recipe by 45%. The original recipe used 28 ounces of chocolate chips. How many ounces of chocolate chips will Addie use for her recipe?
Answer:
10%of 28=2.8
40%=2.8 ×4=11.2
5%(half of 10%)=1.4
then you add 40%and 5% which is 11.2+1.4=12.6
(on a calculator you can work percentage by doing 45 percentage button×the amount)
then you add 28 ounces(original)+(increase) which is 12.6=
40.6
Addie will use 40.6 ounces of chocolate for her recipe
Answer:
Step-by-step explanation:
10%of 28=2.8
40%=2.8 ×4=11.2
5%(half of 10%)=1.4
then you add 40%and 5% which is 11.2+1.4=12.6
(on a calculator you can work percentage by doing 45 percentage button×the amount)
then you add 28 ounces(original)+(increase) which is 12.6=
40.6
Addie will use 40.6 ounces of chocolate for her recipe
Ql. What is the slope-intercept equation of the line y-intercept=(0,1), slope =3/4
Answer:
y = 3/4x + 1
Step-by-step explanation:
4{h-3[f-6(f-h)]} please help its urgent
need a brainliest for this answer.. it took long to do.