Answers
Hi there! See the Identity below in the box:
[tex] \large \boxed{(f - g)(x) = f(x) - g(x)}[/tex]
We are also given that:
f(x) = 0g(x) = 7x+9Substitute both values in the equation.
[tex] \large{(f - g)(x) = 0 - (7x + 9)} \\ \large{(f - g)(x) = - (7x + 9)}[/tex]
Recall the property:
(-)(-) = +(+)(+) = +(-)(+) = -(+)(-) = -Same sign multiplying the same sign = + while opposite = -
Using the distribution property, distribute the negative sign in 7x+9. Since 7x+9 are positive for both terms - distributing in would turn the expression in negative form.
[tex] \large{(f - g)(x) = - 7x - 9}[/tex]
Hence, the answer is -7x-9.
Questions about the problem and my answer or explanation can be asked through comment.
Furthermore, (f-g)(x) is like a factored form of f(x)-g(x).
Hope this helps, and Happy Learning! :)
Related Questions
Towns X, Y, and Z are on the same straight road. Town Y is between Town X and Town Z. Town X is 57 miles from Town Z, and Town Y is 28 miles from Town Z. What is the distance from Town X to Town Y? A. 21 miles B. 28 miles C. 29 miles D. 30 miles
Answers
Answer:
c
Step-by-step explanation:
distance between town X and Z = 57 MILES
distance between y and z = 28 miles
distance from x to y = 57 - 28 = 29 miles
please check the attached image for a diagram that would help better understand the question
Frances and Joyce decided to take a shortcut through the woods to go to their friend's house. When they went home they decided to take the long way around the woods to avoid getting muddy shoes. If the length of the shortcut is equal to the square root of the sum of the squares of the other two sides, what total distance did they walk?
Answers
Answer:
Length of shortcut = 15 km
Step-by-step explanation:
Given that;
Length of shortcut is equal to square root of the sum of the squares of the other two sides.
So,
We can find length of shortcut.
Assume:
Length of other two side area 12 km and 13 km
So,
H = √P² + B²
Length of shortcut = √12² + 13²
Length of shortcut = √144 + 169
Length of shortcut = √225
Length of shortcut = 15 km
What is the volume of this triangular right prism?
Answers
Please help please please please helppp
Answers
Answer:
m∠3 = 73°
Step-by-step explanation:
Vertical angles are equivalent in measure. Complement angles add up to 90°, so subtract 17° from 90° to get your answer.
Help me please thank you for
Answers
Answer:
I don't know
Step-by-step explanation:
Sorry
Answer:
Just at a glance I'm pretty sure it would be B.
What is the prime number 24 16 41 64
Answers
Answer:
41
Step-by-step explanation:
because that is the only number that does not have any factors
Which of the following is a classified as a trinomial
Answers
Answer:
A
Step-by-step explanation:
theres 3 ( x³, -3x, 3)
Answer:
A) x² - 3x + 3
Step-by-step explanation:
A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.
In other words, a trinomial is a polynomial consisting of three monomials.
How many subset of (a, b, c, d, et, h, i) are there?
show how you determined it.
Answers
Answer:
6
Step-by-step explanation:
hope this helped
Find the value of x
Please help out !!
Answers
Answer:
x = 8
Step-by-step explanation:
These are corresponding so they are congruent.
Your equation is: 14x-4=12x+12
x=8
Step-by-step explanation:
these numbers are corresponding angle to each other
so =>14x–4=12x+12
14x–4=12x+12collect like terms
=>14x–12x=12+4
=>2x=16 divide both side by 2 you get
=>x=8
A sound wave is given by the
following equation:
y = 6 sin(324pi t)
where t = time in seconds
How many cycles will occur
between t= 3 and t = 5.5 seconds?
Answers
Answer:
405 cycles
Step-by-step explanation:
We have the equation:
y = 6*sin(324*π*t)
For the properties of the sin function, we know that the period is 2π.
So between:
Sin(x) and Sin(x + 2*pi)
we have a cycle.
between:
Sin(x) and Sin(x + 6*pi)
we have 3 cycles.
and so on.
Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds
Between these times, the difference in the argument of the sin function is:
324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5
Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5
That number is just the quotient between 324*π*2.5 and 2*π
N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405
There are 405 cycles between 3 seconds and 5.5 seconds.
Find the length of the missing side. Enter your answer as a number only.
Answers
Answer:
using formula:
a^2+b^2=c^2
54^2+x^2=90^2
2916+x^2=8100
x^2=8100-2916
x=[tex]\sqrt{5184}[/tex]
x=72 m
Step-by-step explanation:
Are the ratios 10:2 and 20:4 equivalent
Answers
Answer:
Yes, they are equal
Step-by-step explanation:
To see if a ratio is equal, multiply the first numbers of each ratio to the second numbers. If they equal the same, they are equivalent.
In this case, 10*4 = 40
20*2 = 40
Find the surface area of
the prism.
12 in.
7 in.
4 in.
The surface area is
in. 2.
Answers
[tex]\huge \mathcal\color{orange}\boxed{\colorbox{purple}{Question}}[/tex]
Use Euclid's division lemma to show that the square of any positive integer is either of
the form 3m or 3m + 1 for some integer m.
Answers
Answer:
let us consider a positive integer a
divided the positive integer a by 3, and let r be the remainder and B be the quotient and such that.
a=3b+r.........(1)where =0,1,2,3
case 1:consider r=0
equation (1)becomes
a=3bon squaring both the side
a²=(3b) ²a²=9b²a²=3 x 3b²a²=3mwhere m=3b²case 2: Let R=1equation (1) become a=3b+1squaring on both the side we get a²=(3b+1)²a²=(3b) ²+1+2x(3b)x1a²=9b²+6b+1a²=3(3b²+2b) +1a²=3m+1where m=3b²+2bcase3:let r=2equation (1)becomesa=3b+2squaring on both the sides we get a²(3b+2)²a²=9b²+4(12x3bx2a²9b²+(12b+3+1)a²3(3b²+4b+1)+1a²3m+1where m=3b²+4b+1
: square of any positive integer is of the form 3M or 3M + 1
: hence proved.
Answer:
It is the correct answer.
Step-by-step explanation:
Hope this attachment helps you.
Mhanifa please help! This is late and I need to get it done ASAP or I will fail
Answers
Answer:
Use the ratio of corresponding sides of similar triangles.
#1
50 / x = x / 25x² = 50*25x = 25√2#2
63 / x = x / (112 - 63)x² = 63*49x = 21√7#3
100 / x = x / 8x² = 100*8x = 20√2#4
x / 18 = 18 / 16x = 18*9/8x = 81/4I don't like doing math help if you know :)
Answers
Answer:
Step-by-step explanation:
-(2x+1)
-2x-1
write -2 in that bos and 1 after "-"
Find the area of the composite figure.
Plz help mee
Answers
Answer:
I think it's 27 by adding the sides
Properties of Triangles (Math please help meee its worth 100 points in my grade)
Answers
Also an isosceles triangle has two sides of equal length (as shown by the two lines drawn through the sides of the triangle)
Since you are given the angle B as 46 degrees that means that angle C is also 46 degrees (since they both share the same base and since both sides of the triangle are equal).
When added together you can subtract this from 180 degrees.
So...
180-92=88
88 is your answer.
What is an equation of the line that passes through the points (-3, -5) and
(-5, -3)?
Answers
Answer: y = -x-8
Step-by-step explanation:
(-3,-5) (-5,-3)
Slope (m) = (y-y)/(x-x) = (-3- -5)/(-5- -3) = (-3+5)/(-5+3) = 2/- 2 = - 1
m = - 1
Point (-3,-5)
y-y=m(x-x)
y- -5= -1(x- -3) = y+5 = -1(x+3)
y+5 = - x -3
y+5= - x - 3 (substract 5 from both sides)
y = - x - 8
Help me ! Jdkdjdjdb almost due
Answers
Answer: B
Step-by-step explanation
p^2+q, use p=5 and q= -3
All you have to do for this problem is fill in for p and q.
5^2+-3 = 22
Answer:
B) 22
Step-by-step explanation:
Plugging in the values we can solve the equation:
(5)^2 + (-3)
25 + (-3) -- Evatuate exponents first
25 - 3 = 22 -- Simplify to receive answer
What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
012
8
O 3
d
17
Answers
Answer:
the answer is 17
Step-by-step explanation:
6×3-1
= 17
You buy 11 bagels with a $20 bill. How much change do you receive?
Answers
Answer:
You would receive $13.75
Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.
I hope this helps and makes sense to you. Please mark brainlist!
Step-by-step explanation:
Answer:
You would receive $13.75
Step-by-step explanation:
What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.
Hope u understand
Please mark brainliest
Thank You
Find the principal that will yield a simple interest of Rs 9000 in 5 years at a rate of 6% per annum.
Answers
9514 1404 393
Answer:
₹ 30000
Step-by-step explanation:
The simple interest formula is ...
I = Prt . . . . . . principal P invested at rate r for t years
Fill in the values you know, and solve for the one you don't know.
9000 = P(0.06)(5)
9000/0.30 = P = 30000
The principal that will give ₹9000 in interest is ₹30000.
A =?
P= 9000
t = 5 yrs
r = 6% = 0.06
A = p(1+r)^t
A = 9000(1+0.06)⁵
A = 9000× 1.338
A = 12044 Rs.
What is the probability of a baseball player getting three hits in a row if his batting average is 17.9%?
0.57%
53.7%
6.0%
17.9%
Answers
Step-by-step explanation:
Here batting average is 17.9% = 0.179
In baseball, a batting average is the probability of the number of hits divided by the number of t... do the rest
Find the area of the shape shown below.
Answers
Answer:
10
Step-by-step explanation:
2x2=4
1x2=2
2x2=4
4+2+4=10
write this down if u need to show work
I need this in 10 mins I’m BEGGING HELP
Answers
Answer:
148.5 in^2
Step-by-step explanation:
First, get the area of the rectangle
A = 15*12
A = 180
Now the area of the triangle, with the base at 3.5
A = h b/2
A = 9 * 3.5/2
A = 15.75
Since you have 2 halves, add them together., 31.5
Substract 31.5 from 180
Answer:
180 in
Step-by-step explanation:
Because if you multiply 15×12 it gives you 180
find the missing side
Answers
Answer:
x = 27.6907 units
Step-by-step explanation:
cos (62) = 13/x
x cos (62) =13
13 / cos(62)=x
x is 27.6907 units
What is the value of the following expression? (8 + 5 x 9) - 2
Topic: PEMDAS
Please provide an explanation to be rewarded brainly.
Worth: 20 Points
Answers
Answer:
51
Step-by-step explanation:
Parenthesis exponents multiplication division addition subtraction
(8+5x9)-2
(8+45)-2
53-2
51
Which expressions simplify to 2x - 3?
Answers
Answer:
-5
Step-by-step explanation:
x=-3-2
x=-5
+2 GOES ON RIGHT AND IT BECOMES -2 And then -×-is=+but 3 is greater so the sign becomes-
The three point line on a basketball court forms a semi circle. For middle school, it has a diameter of 34 feet. What is the area of the semi circle?
Answers
Answer:[tex]454.019\ ft^2[/tex]
Step-by-step explanation:
Given
Diameter of semi-circle is [tex]d=34\ ft[/tex]
So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]
Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]
[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]
Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]