Answer:
(f ○ g)(8) = - 6
Step-by-step explanation:
Evaluate g(8), then substitute the value obtained into f(n)
g(8) = 8 - 2 = 6 , then
f(6) = - 6
Answer:
-62
Step-by-step explanation:
Two functions are given to us , which are ,
[tex]\bf\implies f(n)= -n \\\\\bf\implies g(n)= n - 2 [/tex]
We need to find , ( f • g )(8) . So ,
⇒ ( f • g) = - n ( n - 2 )
⇒ ( f • g) = -n² + 2
⇒ (f • g) = 2 - n²
==================================
Substituting n = 8 :-
⇒ ( f • g)(n) = 2 - n²
⇒ ( f • g)(8) = 2 - 8²
⇒ (f • g)(8) = 2 - 64
⇒ ( f • g)(8) = -62 .
Hence the required answer is (-62) .A hair stylist offers haircuts and hair coloring to his customers. A haircut costs $18 and hair coloring costs $42. Yesterday, the hair stylist had 12 customers and earned a total of $288. How many of the hair stylists customers received hair coloring yesterday
Answer:
haircut =9 and hair color= 3
Step-by-step explanation:
Step one:
GIven data
let the haircut be x
and hair color be y in numbers.
so
18x+42y=288------------1
x+y=12---------------------2
from 1
x=12-y, put this in 2, we have
18(12-y)+42y=288
216-18y+42y=288
collect like terms
24y=288-216
24y=72
divide both sides by 24
y=72/24
y=3
put y= 3 in 2
x+3= 12
x= 12-3
x=9
Complete the following problems. It is over everything we've done the last few days. Take your time.
Make sure you insert your equation when having to write equations.
Question 3
5 pts
In 2015, 2200 students attended Polaris High School. The enrollment has been
declining 2% annually. If this trend continues, estimate how many students will be
enrolled in 2030.(Remember it is people that you have.)
Answer:
Welcome to Gboard clipboard, any text you copy will be saved here.
Which of the following statements about “vesting periods” is TRUE?
Cristian says that when you raise a base number to a power of 3, it is impossible for the number to get smaller. Do you agree or disagree? Justify (prove) your answer.
Answer: I disagree
Step-by-step explanation:
I disagree with the statement from Cristian. When you raise a base number to a power of 3, it is possible for the number to get smaller.
For example, let's say our base number is negative 2, that is -2. Now let's find the cube of the number. This will be:
= -2^3 = -2 × -2 × -2 = -8
In this example, we can see that -8 is smaller than -2. This shows that the statement by Cristian is not correct.
denoted 5
The grocery store sells 2 pounds of potatoes for $1.50. At this price, how much do 5 pounds of potatoes cost? What is the unit rate?
Answer:
5 pounds of potatoes is $3.75 1 pound is .75 cents
Step-by-step explanation:
Need help with question 2
Find question Mark then solve x
9/x = x/9
The answer is =9
A airplane travels a speed of 300 miles per hour how far in miles will the air plane travel in 20 minutes decmal or fraction answer
Answer: [tex]15[/tex] or [tex]\frac{15}{1}[/tex]
Step-by-step explanation:
We need to divide 300 by 20.
We get [tex]15[/tex] or [tex]\frac{15}{1}[/tex].
Answer:150
Step-by-step explanation: if you do 30/2=15 add a zero=150
A quadratic equation x²+2(3x+p)=0 where p is a constant, has roots a and 2a, where a≠0
(a) find the value of a and of p
(b) hence, from a quadratic equation whose roots are a+1 and a-5
HELP ME PLISS
Answer:
a = -2 and p = 4.
Step-by-step explanation:
x²+2(3x+p)=0
x^2 + 6x + 2p = 0
For the general equation ax^2 + bx + c = 0, the sum of roots = -b/a and their product = c / a.
So here we have:
Sum of the roots:
a + 2a = -6/1 = -6
Product of the roots = 2a^2 = 2p/1 = 2p..
So 3a = -6 and
a = -2.
and
2(-2)^2 = 2p
8 = 2p
p = (-2)^2 = 4.
Answer:
see explanation
Step-by-step explanation:
Since x = a and x = 2a are roots, then substitute these values into the equation.
x = a
a² + 2(3a + p) = 0, that is
a² + 6a + 2p = 0 → (1)
x = 2a
(2a)² + 2(3(2a) + p) = 0
4a² + 12a + 2p = 0 → (2)
Solving simultaneously
Subtract (1) from (2) term by term to eliminate p
3a² + 6a = 0 ← in standard form
3a(a + 2) = 0 ← in factored form
Equate each factor to zero and solve for a
3a = 0 ⇒ a = 0
a + 2 = 0 ⇒ a = - 2
Since a ≠ 0 then a = - 2
Substitute a = - 2 into either of the 2 equations and solve for p
substituting into (1)
(- 2)² + 6(- 2) + 2p = 0
4 - 12 + 2p = 0
- 8 + 2p = 0 ( add 8 to both sides )
2p = 8 ( divide both sides by 2 )
p = 4
Thus a = - 2 and p = 4
--------------------------------------------
a + 1 = - 2 + 1 = - 1
a - 5 = - 2 - 5 = - 7
If x = - 1 and x = - 7 are roots then the corresponding factors are
(x + 1) and (x + 7) and the quadratic equation is the product of the factors, that is
(x + 1)(x + 7) = 0 ← expand left side using FOIL
x² + 8x + 7 = 0
PLEASE HELP I WILL GIVE BRAINLIEST!
The coordinates of three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?
A.
(5, 7)
B.
(5, 11)
C.
(9, 1)
D.
(13, 3)
Answer:
i think d is the correct one
Answer:
It's be 5,11
Step-by-step explanation:
(6.01 )which points on the scatterplot is an outlier point A point B point C point D
Answer: it’s point c
Step-by-step explanation:
Answer C
Answer:A
Step-by-step explanation:
you just told me but thanks for the points message me if you need more answers
0.002347 written to three significant figures is
Answer:0.00234
Step-by-step explanation:
if you got a 23/25 on a quiz, what is your grade? How do you determine that?
Answer:
well 25x4=100 so multiply 23 by 4 and that would be 92 so you would have an A or 92%
Julie says that she can perform a magic trick with numbers. She asks you to pick a whole number, any whole number. Square that number. Then add twice the your original number. Next add 1. Take the square root of the result. Finally, subtract your original number. Then Julie exclaims with authority, "Your answer is 1." Is your answer 1?
Answer:
No
Step-by-step explanation:
I picked 2. Then got 4. Then 8. Then 9. Then 81. Then 79.(i dont know if this is right)
The question is in the picture
- I could really use some help !! Thank you so much !!
Answer:
Could you retake the photo plz so i can see the full question and answer choices
Step-by-step explanation:
In order to compare functions we need to identify the
and the _______ and the _______
1) x and y
2)slope and y-intercept
3) domain and range
Please help me !!! It’s due at 11:59pm
Answer:
it has to be 77.7
Step-by-step explanation:
height versus age domain and range
Answer:
While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.
Step-by-step explanation:
The Pythagorean theorem is a2+b2=c2. Solve for b.
Answer: what is a and c
Step-by-step explanation:
We need a and c to solve for b.
Triangle a'b'c' is result of dilating abc about point a by a scale factor of 2/3. Determine whether each claim about the properties of abc and a'b'c' is true or false
Answer:
True , because all properties preserved under dilation from triangle abc to a'b'c'.
Step-by-step explanation:
Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'
To find :After dilation, properties of triangle abc and a'b'c' is true or false.
Solution:
Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.
So, dilation of triangle are not congruent but similar to the original triangle abc
Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.
Answer:
true
Step-by-step explanation:
10) Stan has $55. He wants to buy a belt that costs $14 and some T–shirts that cost $9 each. How many T–shirts can he buy?
a) Let n represent the number of T–shirts and translate into an inequality. b) How many T–shirts can he buy?
Answer:
4 T- shirts
Step-by-step explanation:
55- 14 = 41
41$ left and each T- shirt is 9$
count by 9s until you reach 41
9, 18, 27, 36 , 45
36 is the highest
Ben is shopping for tires for his car. After looking at several stores, he decides to purchase his tires from All About Tires. The cost of their tires is shown in the table below.
Study the table below...
All About Tires...
Number of Tires... X...
Total Cost... Y...
... 2, $62...
... 3, $93...
... 7, $217...
... 9, $279....
Based on the information in the table, how much will Ben pay for 4 tires?
Answer:
124
Step-by-step explanation:
63 +31 is 93 +31 is 124
Answer:
Answer:
124
Step-by-step explanation:
63 +31 is 93 +31 is 124
What are the Slope and y- Intercept of the graph y= -4x - 5
Answer:
slope: -4, y intercept: (0, -5)
Step-by-step explanation:
The slope of a line is -5 and its y-intercept is 8. Discuss how you will write the equation in
the slope- intercept form.
Answer:
the formula = y = mx+c,
if slope is -5 and y intercept is 8,
y = -5x+8
or
y= 8-5x
A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance, x, from the starting location?
Answer:
183.6 miles
Step-by-step explanation:
Kindly check the picture attached for the solution diagram
Using the cosine formula (Diagram has two sides and an included angle)
x² = y² + z² - 2zy * cosX
x² = 150² + 60² - 2(150*60) * cos115
x² = 22500 + 3600 - 18000 * −0.422618
x² = 22500 + 3600 + 7607.1287
x² = 33707.128 miles
x = √33707.128
x = 183.59501
x = 183.6 miles
Answer:
D
Step-by-step explanation:
183.60
please help i will make sure to mark brainliest
1 question for brain list :)
Describe the life cycle of a sea horse. What is unique about the sea horse's life cycle?
The female's have intercourse with the male's in a way that I can't describe on this website, and thus, the males give birth to the babies.
3. Find the first five positive values (correct to three decimal places) of the inverse circular
relation arccos(0.6)
its 12.0
Step-by-step explanation:
Donovan age is two times Sydney's age the sum of their ages is 39 what is Sydney's age
Answer:
13
Step-by-step explanation:
2x+x=39
3x=39
divide both sides by 3 and then you get 13
2) A pound and-a-half of candy costs $1.65. Find the cost of one pound.
Answer:
1.10
Step-by-step explanation:
1 pound and 1/2=1.65
1/3 of 1.65 is 0.55.
1/2 is 0.55
so 1 pound is 0.55 times 2 which is 1.10
please mark as brainliest!!<3