Work Shown:
(f o g)(x) = f(g(x))
f(x) = x + 7
f( g(x) ) = g(x) + 7 ... replace every x with g(x)
f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1
f( g(x) ) = x^2 + 6
(f o g)(x) = x^2 + 6
The area of a children square playground is 50m squared.
a. what is the exact length of the playground
2. pine logs 3m long are to be laid around the playground. How many logs will need to be bought?
Answer:
a. solution
Area = 50 m^2
Area of square = l^2
or, 50 m^2 = l^2
or, √50m^2 = l
or, 5√2 m= l
Hence, The exact length of the playground is 5√2 m.
Critical Thinking Point M is the midpoint of AB. The coordinates of point A are
(-8, 3) and the coordinates of Mare (–2, 1). What are the coordinates of point B?
Answer:-1,4
Step-by-step explanation:
simplify 5 p - 3 - (1 + p) +( 2 - p)
Answer:
3p-2
Step-by-step explanation:
................
Answer:
3p - 2
Step-by-step explanation:
[tex]5p - 3 - (1 + p) + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + 2 - p[/tex]
[tex]5p - 1p - p[/tex][tex]5p - 1p - 1p[/tex][tex](5 - 1 - 1)p[/tex][tex] = 3p[/tex][tex] - 3 - 1 + 2[/tex]➡️ [tex] - 4 + 2[/tex]
➡️ [tex] = - 2[/tex]
[tex] = 3p - 2[/tex]
Ryan, a consumer electronics salesperson, earns a base salary of $1100 per month and a commission of 8% on the amount of sales he makes. One month Ryan received a $1492 paycheck. Find the amount of his sales for the month.
Help me in math please this is my last question btw
Answer:
A) y=-7
Step-by-step explanation:
we talking about the better pond right?
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
Answer:
6(3) - 4 - 3²
Step-by-step explanation:
(g - f) = 6x - (4 - 2x²)
= 6x - 4 - 2x²
and when we replace x with 3 ,it will be
6(3) - 4 - 3²
hope this helps
Answer:
Basically what the person on top of me said
Step-by-step explanation:
Got it right !
√5 • -4√20
PLEASE SHOW STEP BY STEP ON HOW YOU SOLVED THE EQUATION
Answer:
-40
Step-by-step explanation:
[tex] \sqrt{5} \times - 4 \sqrt{20} [/tex]
Multiplication is commutative.
[tex] - 4 \sqrt{20} \times \sqrt{5} [/tex]
Apply Profuct Rule
[tex] - 4 \sqrt{100} [/tex]
Simplify sqr root of 100
[tex] - 4 \times 10 = - 40[/tex]
Hi ;-)
√5 · (-4√20) = -4√(5 · 20) =
= -4√100 = -4 · 10 = -40
what did one function say to the other function?
Answer:
2，3
Step-by-step explanation:
for number 1
Alguien me ayuda con esto?
Answer:
x=10
Step-by-step explanation:
10 a 8 son dos, entonces 14 ax es 4
Answer:
La explicación sería:
//////////////////////////
=> 9 * 2 + 4/2 = 20
=> 18 +2 =20
=> 20 =20
//////////////////////////
=> 5*2 + 8/2 = 14
=> 10 +4 =14
=> 14 =14
//////////////////////////
=> 3*2 + 10/2 = x
=> 6 + 5 = x
=> 11 = x
3. Amelia is at the mall buying more
school clothes. She purchases one pair
of jeans for $32.00 and 2 tops for
$23.99 each. If sales tax is $5.80, what
was the final cost of her clothes
What is the answer?
Answer:
The final cost of Amelia's clothes will be $79.98 without sales tax and $85.78 with sales tax.
Step-by-step explanation:
To find the final cost of Amelia's clothes without sales tax, start by writing an equation for the problem, and the equation will look like $[tex]32.00+2([/tex]$[tex]23.99)=x[/tex]. Next, simplify the equation, which will look like $[tex]32.00+[/tex]$[tex]47.98=x[/tex]. Then, solve the equation, which will look like $[tex]79.98=x[/tex]. The final cost of Amelia's clothes without sales tax will be $79.98.
To find the final cost of Amelia's clothes with sales tax, start by writing another equation for the problem, and this equation will look like $[tex]32.00+2([/tex]$[tex]23.99)+[/tex]$[tex]5.80=x[/tex]. Next, simplify the equation, which will look like $[tex]32.00+[/tex]$[tex]47.98+[/tex]$[tex]5.80=x[/tex]. Then, solve the equation, which will look like $[tex]85.78=x[/tex]. The final cost of Amelia's clothes with sales tax will be $85.78.
Help with this please now
Answer:
ok dude
Step-by-step explanation:
Wʜᴇʀᴇ ɪs ǫᴜᴇsᴛɪᴏɴ?
Answer:
what help l don't understand please sorry I didn't help you explain your problem l will help you
In the following expression, both A and B are variables that can take positive values.
A+2/B
Which of these actions will cause the expression's value to increase?
Choose 2 Answers
A.
Keeping A constant and increasing B
B.
Keeping A constant and decreasing B
C.
Increasing A and keeping B constant
D.
Decreasing A and keeping B constant
I think the answer is A and C!
Answer:
B) Keeping A constant and decreasing B
C) Increasing A and keeping B constant
Step-by-step explanation:
I did it on Khan Academy :)
What the answer I don’t get Mary at all
Answer:
1
Step-by-step explanation:
By order of operations, we first evaluate the parentheses, which is 2 * 1 = 2. We then evaluate the brackets, which are 3 / 2 = [tex]\frac{3}{2}[/tex]. Finally, [tex]\frac{3}{2}[/tex] * [tex]\frac{2}{3}[/tex] = [tex]\frac{6}{6}[/tex] or 1.
Two jets leave an airbase at the same time and travel in opposite directions, One jet travels 71mi/h faster than the other. If two jets are 7014 miles apart after 6 hours what is the speed of each jet?
jet1 = 549 mi/h
jet2 = 620 mi/h
x= jet1
x + 71 = jet2
6 hours
6 * x
6 * x + 71
6x + 6x + 426 = 7014
12x = 7014 - 426
12x = 6588
x = 6588/12
x= 549
x + 71 = 620
wyzant
How do Curves A and B compare to each other with respect to f and f ′?
The answer cannot be determined.
f: Curve B, f ′: Curve A
f: Curve A, f ′: Curve B
Neither Curve A nor Curve B are derivatives of each other.
It's likely that curve A is f and curve B is f '.
The points where curve B crosses the horizontal axis correspond to the extrema of curve A at around 0 and 0.45, and the extremum of curve B corresponds to the inflection point of curve A at around 0.2. These observations are consistent with the first and second derivative tests.
A perpendicular bisector runs through the middle of a line segment and splits into
Answer:
B two congruent pieces
Step-by-step explanation:
Perpendicular means at a 90 degree angle
bisector means it divides in it half, into two equal pieces
I need help with math please here is a photo
If X= 9 and Y = 3, what is XY
Answer:
The most basic question I have ever seen lol
XY = 9*3 = 27
Jaya's mother is 5 years more than three times her age. Find Jaya's age if her mother is 44 years old.
Answer:
Jaya is 13 years old.
Step-by-step explanation:
Let's assume Jaya's age to be x years old.
Jaya's mothers age is (3*x)+5.
3x+5=44
3x=39
x=13.
What is the volume of the rectangular solid?
12 cubic feet
15 cubic feet
5 ft
25 cubic feet
50 cubic feet
2 ft
5 ft
Mark this and retum
Save and Exit
Next
Submit
Answer:
I need to see the rectangular solid
Need help!!!!
Will earns $6.50 per hour and time-an-a-half for all hours over 40.
Find his weekly pay if he worked 47 hours.
a. $305.50
b. $328.25
c. $269.75
d. $68.25
Answer:
b
Step-by-step explanation:
Solve the following inequality: |x – 4|> 6
Answer:
x>10 or x< -2
Step-by-step explanation:
There are two solutions, one positive and one negative, remembering to flip the inequality for the negative
x-4 >6 or x-4 < -6
Add 4 to each side
x-4+4 > 6+4 or x-4+4 < -6+4
x>10 or x< -2
Plsssssssssssss help me
On the first day of December, 34,789 people went to the mall. On the second day 63,587 people went to the mall. How many people went to the mall over the two days
Answer:
98376
Step-by-step explanation:
Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
Answer: f(g) = 895 + 30g
-----------------------------------------------------------------
He paid $2065. Number of games he played:
-----------------------------------------------------------------
2065 = 895 + 30g
30g = 2065 - 895
30g = 1170
g = 39
-----------------------------------------------------------------
Answer: He played 39 games.
Step-by-step explanation:
Number of games anton played is 39; the equation is 2065 = 895 + 30G
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be
A = B
. If we take them to be equal to third variable, then:
A = B = C
type of equation is obtained.
We can then take it as system of two equations as:
A = C\\ B=C
Solution to this system will give us the solution to the considered equation.
Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
The equation will be f(g) = 895 + 30G
Amount anton paid = $2065.
Number of games he played;
2065 = 895 + 30G
30g = 2065 - 895
30g = 1170
G = 39.
Therefore, the solution of the equation os 39
Learn more about equation here:
https://brainly.com/question/26254258
#SPJ2
Similarity and Congruence
Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.
Each pair of figures is similar. Find the value of the missing side (x).
9514 1404 393
Answer:
3 in
Step-by-step explanation:
Ratios of corresponding sides are equal, so we have the proportion ...
x/(5 in) = (6 in)/(10 in)
x = (5 in)(6/10) = 3 in
The missing side (x) is 3 in.
True or False, 15%-54% of errors reported from primary care practices are related to the testing process.
Answer:
i would say true
Step-by-step explanation:
7/9+6/8+6/3=
I really need the answer
Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.
1:
7/9+6 = 7/15
2:
8+6/3 = 14/3
3:
[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]
Then take that in chunks: 7/14 and 15/3.
7/14 = 1/2
15/3 = 5/1
Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].
1/5 = .2
2/3 ≈ .6667 so we'll keep writing it as 2/3
[tex]\frac{\frac{.2}{2}}{3}[/tex]
.2/2 = .1, so:
[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]
What is the coordinate of point A?
Answer:
The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.
Hope it is helpfully.Jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 2/3 of an hour
Answer:
Answer:
If: 153 words = 3 minutes :
Then: 1 minute = 153 3 = 51 words
10 minutes is:
10 × 51 = 510
Ben can type 510 words in 10 minutes
