Answer:
23
Step-by-step explanation:
Evaluate f(- 2) then substitute the value obtained into g(x)
f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then
g(7) = 4(7) - 5 = 28 - 5 = 23
[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]
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Need answer with explanation
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Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps !!Trigonometric identities are used to prove or disprove trigonometric ratios
The trigonometry identity is given as:
[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]
Simplify the trigonometry identity, as follows:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
This is so because:
[tex]\cos(\pi + x) = -\cos(x)[/tex]
[tex]\cos(-x) = \cos(x)[/tex]
[tex]\sin(\pi -x) = \sin(x)[/tex]
[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]
So, we have:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
Evaluate the products
[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]
Cancel out the common factors
[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]
Rewrite the trigonometry identity, as follows:
[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]
In trigonometry,
[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]
So, we have:
[tex](\cot(x))^2 = \cot^2x[/tex]
Remove the bracket
[tex]\cot^2x = \cot^2x[/tex]
The above equation is true.
Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved
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Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1
Answer:
t[1] = 120; t[n] = t[n-1]/n, n ≥ 2
Step-by-step explanation:
The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.
The first term is 120, so ...
t[1] = 120
Using the above-described rule, ...
t[n] = t[n-1]/n . . . . for n ≥ 2
deacrease 250 by 15%
Answer:
212.5
Step-by-step explanation:
What is the value of the function y= 3x - 1 when x=-1?
-
-8
-4
O 2
06
Need help now
Answer:
-4
Step-by-step explanation:
y=3x - 1 x= -1
y = 3(-1) -1
y = -3 -1
y= -4
The ratio of shoes sold to sandals sold was 9:5. If there were 72 shoes sold, how many
sandals were sold?
Answer:
40
Step-by-step explanation:
9x8 = 72
5x8 = 40
72:40 = 9:5
Hope that helps
Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?
Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500
The profit made from each unit sold can be found as:
= Market price - Average cost
= 14 - 9
= $5
The total profit would therefore be:
= Profit per unit x Number of units sold
= 5 x 500
= $2,500
In conclusion, the profit per unit is $5 and the total profit is $2,500
Find out more about profit per unit at https://brainly.com/question/25531124.
If a = 5, b = 2, c = 4, then 6ab - 2c =
628
52
2
60
Answer:
52
Step-by-step explanation:
Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
Answer: 52 because if you Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
like ponitail151 said.
Which property is shown?
2.1= 2
identity property of multiplication
distributive property
commutative property of addition
associative property of multiplication
Answer:it’s distributive property
Step-by-step explanation:
Isosceles & Equilateral Triangles
solve for x & then solve for y *
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x
Answer:
1) –(3 • 7 • 3 • 5 • g)
2) 7+x+3⋅y
3) 2/9 – x/5
Hope you could get an idea from here.
Doubt clarification - use comment section.
If a=-4xa=−4x and b=5ib=5i, then find the value of ab^2ab 2 in fully simplified form.
The value of ab^2 in simplified form is -1
Given the following expressions:
a = 4xb = 5iWe are to evaluate the expression [tex]ab^2[/tex]
Substitute the given parameters into the formula to have:
[tex]ab^2 =4x(5i)^2\\ab^2 = 4x(25i^2)\\ab^2=4x(50(-1))\\ab^2=-100x[/tex]
Hence the value of ab^2 in simplified form is -100x
Learn more on exponential functions here: https://brainly.com/question/12940982
helppppppppppppppppp
Answer:
A multiplicative inverse or reciprocal for a number x, is denoted by 1/x or x‾¹.
So, the answer to your question is B. a × (1/a) = 1.
Hope this helps!! :)
The length of a rectangular hall exceeds its breadth by 7 m. If the breadth is decreased by 1 m and the length increased by 2 m, the area remains the same. Find the length and breadth of the hall.
Answer:
Step-by-step explanation:
Let the length be :x+7
Let the breadth be:x
After addition and subtraction
Length:x+7+2=x+9
Breadth:x-1
A.T.Q
x(x+7) = (x+9)(x-1)
x²+7x = x(x-1)+9(x-1)
x²+7x = x²-x+9x-9
x²+7x-x²+8x = 9
8x-7x = 9
So, Breadth: 9m
So, Length :16m
Work out the surface area of this solid prism.
25cm
17cm
15cm
30cm
28cm
The diagram is not drawn to scale.
PLS HELPPP IM DYING
Answer:
2520cm²
Step-by-step explanation:
Surface area = sum of the area of all the bases.
Area of bottom base = 28 * 30 = 840
Area of right base = 25 * 30 = 750
Area of left base = 17 * 30 = 510
Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420
Then add all the areas together to find surface area
Surface area = 840 + 750 + 510 + 420 = 2520cm²
Relevant Formulas:
Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base
Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.
What is the domain of the equation shown in the graph?
Question options:
All real numbers
x= ≤ -1
x≥-1
x≤0
Answer:
All real numbers.
Step-by-step explanation:
The domain is the range of values of x.
The graph goes on without bounds to - infinity and positive infinity.
can someone help with this
[tex]R.H.S\\\\=(a+b)(a^3-a^2b-ab^2+b^3)\\\\=a^4-a^3b-a^2b^2+ab^3 + ba^3-a^2b^2-ab^3+b^4\\\\=a^4+b^4-2a^2b^2\\\\\neq a^4 +b^4\\\\\\\text{Hence, }(a+b)(a^3-a^2b-ab^2+b^3) =a^4+b^4 ~ \text{is not true.}[/tex]
slopeeeeeeeeeee please help me someone no bots
Answer:
5) -2
6) 1
7) -4/3
8) I'm not sure for this one
9) 8
10) 9/5 i think
1) A
2) D or A
3) C
4) A
Step-by-step explanation:
Slope intercept form: y = mx + b, and m is the slope, and b is the y-intercept
A piece of pizza is 3 inches long. A sub sandwich is 8% longer than the slice of pizza.
How long is the sub sandwich?
Answer:
3.24 inches
Step-by-step explanation:
3 times 108% is 3.24
Grocery Store A is selling bananas for $0. 75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3. 75. Which store is offering the best unit rate? Show your work.
The store is offering the best unit rate is Grocery Store A.
The store with the lower unit rate offers the best rate. The unit rate is the total cost divided by the pound of bananas sold.
unit rate = cost / pounds
Unit rate of Grocery Store A: $0.75 / 12 = $0.0625
Unit rate of Grocery Store B: $3.75 / 5 = $0.75
Comparing the unit rates of both stores, Grocery Store A offers a lower unit rate.
A similar question was answered here: https://brainly.com/question/20197796
math
rate of change and show me how u did it:( <3
Answer:
y = m x + b equation for a straight line
if x = o then y = 4 from graph
y = 0 + 4 and b = 4
If x = 8 then y = 24 from graph
24 = m * 8 + 4 substituting in our equation
m = 20 / 8 = 2.5 giving slope or rate of change
y = 2.5 x + 4 the final equation with a slope of 2.5
As a check using the graph:
We see that if y = 24 then x = 8
24 = m * 8 + 4 substituting in our equation
m = 20/8 = 2.5 agreeing with the value found
The following angles are
Supplemnetary
Linear Pair
Adjacent
Vertical Angles
[tex]\huge \bf༆ Answer ༄[/tex]
The shown pair of Angles are known as Adjacent Angles, because they have one Arm in common.
Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard
1.)right in equation that models the total number of money, y, that you can buy x yards of fabric
2.) if you bought 9 yards of fabric how much will you pay
3.) if you paid $47.50 how many yards of fabric did you purchase
1.) 10x-5=y
2.) $85
3.) 5.25 yards of fabric.
Step-by-step explanation:1.) To write an equation for this problem, we need to figure out what every value means:
the variable x, represents the amount of yards of fabric you can buy
the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.
1 yard of fabric equals $10, and we have a $5 coupon (-5)
Our equation is:
10x-5=y
This equation represents the relationship between the total cost of fabric, and the amount that you can buy.
2. In order to solve this problem we need to use our equation, one value is given which is 9.
9 represents x, the amount of yards of fabric.
Substitute 9 into x:
10(9)-5=y
Solve:90-5=y
85=y
85 represents the cost of 9 yards of fabric, including the $5 coupon.
3.) This problem is similar to #2, although it's flipped.
The value given is $47.50, which represents (y), the total amount of money after (x) was found out.
But, we need to figure out (x).
Substitute $47.50 into (y):
10(x)-5=$47.50
Next, we need to figure out x by solving the opposite.
Adding the coupon to our answer can represent 10(x).
$47.50+5=52.50
10(x)=52.50
Lastly, divide both sides of the equation by 10.
10(x) / 10=52.50 /10
x=5.25
5.25 represents the amount of yards of fabric purchased if you paid $47.50.
Find equivalent expressions of 3+2x−9−4x+11+5x−x. Choose three expressions.
The expression that is equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x, is: 2x + 5.
What are Equivalent Expressions?Expressions that have the same value are said to be equivalent expressions.
Evaluate 3+2x−9−4x+11+5x−x:
3 + 2x − 9 − 4x + 11 + 5x − x
Add like terms together
2x - 4x + 5x - x + 3 - 9 + 11
2x + 5
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#SPJ2
Answer:
Step-by-step explanation:
The expression that is equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x, is: 2x + 5.
Assume the mean life of an iPhone is 5 years (60 months)and a standard deviation of 8 months If the age in years at which an iPhone is replaced is approximately normally distributed, what is the probability that the phone will need to be replaced between 60-75 months? A 47% B 82% C 54% D 68%
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
anish spend 1/5 of 4000 and Anil spend 1/3 of 4500.who spend more and by how much
Answer:
Anil
Step-by-step explanation:
This is because 1/3 is greater then 1/5
The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0. 75 cosine (StartFraction pi Over 30 EndFraction (t minus 15)) 8. Which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12.
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Two planes leave Berlin. One plane flies 939 km to London. The other plane flies to 882 km to Paris. The angle
between the flights is 18º.What is the distance between London and Paris?
London
939 km
18
Berlin
882 km
Paris
The distance between London and Paris is 290.38km
To get the distance between London and Paris, we will see the cosine formula as shown:
c² = a² + b² - 2ab cosФ
Given the following parameters:
a = 939kmb = 882 kmФ = 18⁰Substitute into the formula to have:
c² = a² + b² - 2ab cosФ
c² = 939² + 882² - 2(939)(882) cos18
c² = 1,659,645 - 1575326.21
c² = 84,318.79
c = 290.38km
Hence the distance between London and Paris is 290.38km
Learn more on cosine rule here; https://brainly.com/question/7872492
The quotient of triple a number less four and five equals two. What is the number?
Answer:
14/3
Step-by-step explanation:
The quotient of triple a number less four and five equals two. What is the number?
"triple a number" means 3x, if we say x is the "number"
"triple a number less four" means (3x-4)
"quotient of [triple a number less four] and five equals two." means
(3x-4)/5 = 2
3x-4 = 10
3x = 14
x = 14/3
===
Does ((14/3)3 - 4)/5 = 2 ???
(14 - 4)/5
10/5 = 2 YES
What is the number?
THE WHOLE THING ALL OF IT PLEASE I WILL MAKE U BRAINLIEST!!
Answer:
3x+8=17 2x+8=2(x+4) x+4=x-4
3x=17-8 2x+8=2x+8 No solution
3x/3=9/3 All Real numbers
x= 3
infinitely many solution
Q2) It means this equation has no answer to it and no solution
Q3) x+ 4=x-4 has no solution
Q4) It means that it has many answers to it and many steps to it to get the answer
Q5) By doing the answer for example 3x+9=17 it has many solutions and we can get the answer by
52 as a product of prime factors.
Answer:
13 *2*2
or
13*2^2
Step-by-step explanation:
52 = 26*2
But 26 is not prime
52 = 13*2 *2
52 = 13 * 2^2
Step-by-step explanation:
hope it helped!! ..............