Answers
Answer:
[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]
Given:
[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]
To find:
[tex](f - g)(x) = f(x) - g(x)[/tex]
Step-by-step explanation:
[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]
Related Questions
Write an
explicit formula for An, the nth term of the sequence
15, 7, -1,....
Answers
Answer:
aₙ=23 - 8n
Step-by-step explanation:
15, 7, -1,....
AP with the first term of 15 and common difference -8
aₙ=a₁+(n-1)d= 15+(n-1)*(-8)= 15 -8n +8= 23 - 8n
aₙ=23 - 8n
I need this for my notes so i can know what to do. What is the length of AC? And Length of AB?
Answers
Answer:
AC 5
AB = 3
Step-by-step explanation:
AC = distance between the points
C-A = 3 - -2 = 3+2 = 5
The distance is 5
AB = distance between the points
B-A = 1 - -2 = 1+2 = 3
The distance is 3
Answer:
AC = 5
AB = 3
Step-by-step explanation:
AC:
3 - X = -2
3 - 5 = -2
AB:
1 - X = -2
1 - 3 = -2
7x + 14 - 17-3x = 6x - 4z + 2 - 5 find the value of x
3 5 3
Answers
Answer:
when z=3 or 5 , values of x is ; 6 or 10.
I think that there is a lack of information or misspelling in the question.
Step-by-step explanation:
4x-3=6x-4z-3
4z=2x
2z=x
z=3 => x=6
z=5 => x=10
Two number cubes are rolled .what is the probability that the sum of the numbers on the cubes is 12 ?? The Answer is fraction
A.12/36
B.1/36
C.1/12
D.35/36
Answers
Answer:
The answer would be B.(1/36)
State the negation of the following statement: It is cloudy.
Answers
Answer:
It is not cloudy.
Step-by-step explanation:
The negation is like the opposite of the statement. If you were to say something true, the negation of it would be false.
Answer: It is not cloudy.
Step-by-step explanation:
Which of the following is the solution to the inequality below?
-5x - 10 < 20 ?
1) x > -6
2) x > - 2
3) x < -6
4) x< -2
Answers
This gives us -5x < 30.
Now divide both sides by -5.
When you divide both sides of
an inequality by a negative, switch
the direction of the inequality symbol.
So we have x > -6.
Inscribed Angles - What is the value of x? WILL GIVE BRAINLIEST!
Answers
Answer:
18
Step-by-step explanation:
hope it helps!
Anna is following this recipe to make biscuits.
Anna uses 550 g of sugar.
How many grams of oats will she need?
Recipe: Makes 24 biscuits
125 g margarine
100 ml syrup
275 g oats
110 g sugar
55 g chocolate
Answers
Answer:
Anna will need 1375 g of oats
110:275
550:x
To find x,we do (275*550)/110
Which is 1375gs of oats
Which of the following linear equations corresponds to the table above?
Answers
When y is 0 x is 3 so the y intercept is 3 and every time x increases by 1 y increases by 4
The linear equation of the corresponding table is y = 4x+3 which is correct option(D).
What is the slope of a linear function?The slope of a linear function is defined as the angle of the line. It is denoted by m.
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a linear function —Point 1 and Point 2. Point 1 has coordinates (x₁, y₁) and Point 2 has coordinates (x₂, y₂)
We need two of those points to come up with the equation of the corresponding line.
Solution in y-intercept form y = mx+b
We can calculate the slope of the line using any 2 of the given points: I pick (0,3) and (3,15).
The formula for determining the slope of the line through 2 points (x₁,y₁) and (x₂,y₂) as m=(y₂-y₁)/(x₂-x₁)
By plugging in the corresponding values,
m = (15-3)/(3-0) = 12/3 = 4
Since the value of y when x is zero, i.e. the point (0,3) of the table, then the value of b is 3.
Now, Substitute the values in y = mx+b,
y = 4x+3
Hence, the linear equation of the corresponding table is y = 4x+3.
Learn more about linear function here:
brainly.com/question/14511992
#SPJ5
Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.
Answers
Answer:
5
Step-by-step explanation:
Slope equation is (y2-y1)/(x2-x1)
(-1-4)/(2-3)
-5/-1
5
Penny had a bag of marbles. She gave one-third of them to Rebecca, and then one-fourth of
the remaining marbles to John. Penny then had 24 marbles left in the bag. How many marbles were
in the bag to start with?
pls explain.
Answers
Given That:
x - (Rebecca's share + John's share) = 24
x - (x/3 + x/4) = 24
12x/12 - (4x / 12 + 3x / 12) = 24
5x/12 = 24
5x = 24 x 12
5x = 288
x = 57 or 58
Which statement best explains why pollution stays within the Earth's atmosphere? *
Answers
Answer:
Because of cars, and factories making it everyday.
Step-by-step explanation:
Copy and complete each table.
HELP I CAN’T FIND THE EQUATION FOR N
I realized the output is -5 each, but what’s the equation ;-;;;l
Answers
Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
[tex]T_{2}-T_{1}[/tex] = -3 - 2
= -5
Similarly, [tex]T_{3}-T_{2}=-8-(-3)[/tex]
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence, [tex]T_{n}[/tex] = a + (n - 1)d [n = input value]
[tex]T_{n}[/tex] = 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,
[tex]T_{5}=2+(5-1)(-5)[/tex]
= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7
When you flip a biased coin the probability of getting a tail is 0.75.
How many times would you expect to get tails if you flip the coin 160 times?
Answers
Answer:
You would expect to get tails 120 times
Step-by-step explanation:
0.75 * 160 = 120
Answer:
120
Step-by-step explanation:
to find the number of times, you expect to get tails:
multiply 160 by 0.75.
you could also multiply 160 by 3/4, which is easier, but still gives the same answer.
3/4 x 160 = 3 x 40 = 120
Hope this helps.
Please mark brainiest
A (x+4,y-2)
B (x+2,y-1)
C (x-2,y+1)
D (x-4,y+2)
Answers
[tex]answer \\ = (x - 2, y + 1) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment... \: [/tex]
PLZ HELP :) 10 PTS
Justify whether matrix A is invertible.
A.
Yes, because its determinant is not equal to zero.
B.
Yes, because its determinant is greater than zero.
C.
No, because its determinant is zero.
D.
No, because its determinant is less than zero.
E.
No, because its determinant is not equal to zero.
Answers
Hope this helped if not I’m sorry i did my research :(
We have that
The Matrix A is a singular square matrix and because its determinate is zero. No the Matrix A is inveritible because its determinant is not equal to zero.
Option E is correct
From the question we are Given the matrix:
[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]
Invertible Matrix
In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that
[tex]AB=BA=I_n[/tex]
where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
Invertible Matrix characteristics does not apply to singular square matrix, A square matrix is singular if and only if its determinant is zero
Generally the determinate of Matrix A is given as
[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]
[tex]D=(6*6)-(-4*-9)\\\\D=0[/tex]
In conclusion
The Matrix A is a singular square matrix and because its determinate is zero.
So, No the Matrix A is inveritible because its determinant is not equal to zero.
Option E is correct
For more information on this visit
https://brainly.com/question/18028537
ini apa we jawabannya pelasee
Answers
Answer:
kualitas terjemahannya mungkin tidak bagus. Jadi lihat 2 baris terakhir jika Anda tidak mengerti.
Jadi jumlah derajat tidak masalah. Mereka masih akan menempuh jarak yang sama.
Karena Anda mengatakan bahwa ekspres Marina berjalan pada 40 km / jam dan kami melakukan 2 jam. 40 * 2 = 80 km. Untuk Dumai Anda melakukan hal yang sama, 48 * 2 = 96.
Marina berjalan sejauh 80 km
Dumai berjarak 96 km
What is 1/2 convert to 6?
A. 6
B. 12
C. 3
Answers
hi
if you mean : 1/6 = ... / 6 it's 3 as 3/6 = 1/2
Janet has 7 markers in a backpack. One of them is orange and one is blue. Find the probability Janet will reach into the backpack without looking and grab the orange marker and then reach in a second time and grab the blue marker. Express your answer as a fraction in the simplest form 1/49 1/13 1/7 1/42
Answers
Answer:
a) Not replaced
Yelllow marker First - Then Blue Marker =
(1/10)(1/9) = 1/90
b) Replaced
(1/10) (1/10) = 1/100
Answer "C"
Step-by-step explanation:
find the y-intercept for parabola defined by this equation: y=-4x^2-x+3
Answers
Answer:
(0,3)
Step-by-step explanation:
An easy way to determine the y intercept of a function is to graph it, and to see where the function passes through the y axis. As you can see below, the y intercept of this graph is at (0,3). Hope this helps!
Answer:
Y intercept = (0,3)
Step-by-step explanation:
When looking at a equation like this the y intercept would always the the number without a variable beside it.
-x would be the slope of the function
So 3 is your y intercept
Hope this helps!
On a number line, a segment has endpoints of -2.5 and 4.5. What is the midpoint?
Answers
Answer:
1
Step-by-step explanation:
[tex]Midpoint \\ \\ = \frac{4.5 + ( - 2.5)}{2} \\ \\ = \frac{4.5 - 2.5}{2} \\ \\ = \frac{2}{2} \\ \\ = 1[/tex]
What is the area of Dawn’s porch
Answers
Um aparelho elétrico tem potência de 6500 watts. É usado quatro vezes ao dia. Sendo o valor do kwhR$0,25 determine o custo de energia elétrica no final de trinta dias, sabendo que o mesmo cada vez que é ligado no dia permanece ligado 2 horas e 36 minutos
Answers
Answer:
After thirty days with the mentioned use the cost of the device is R$ 507,00.
Step-by-step explanation:
We first need to calculate its total power consumption over the 30 days. Since its turned on four times a day for 2 h and 36 min each, we need to multiply this time by 4 to have the time it's turned on in a day and multiply that by 30 to calculate its total power consumption. Although, we need to convert the time from hours and minutes to only hours, to do that we divide the minutes part by 60 and sum it on the hour part. All of this is done below:
[tex]t = 2 + \frac{36}{60} = 2.6 \text{ h}[/tex]
[tex]\text{dayly time} = 4*t = 4*2.6 = 10.4 \text{ h}[/tex]
[tex]\text{monthly time} = 30*\text{dayly time} = 30*10.4 = 312\text{ h}[/tex]
[tex]\text{total power consumption} = \text{monthly time}*6500 = 312*6500\\\text{total power consumption} = 2028000 \text{ W} = 2028 \text{ kW}[/tex]
[tex]\text{total cost} = \text{total power consumption}*0.25\\\text{total cost} = 2028*0.25\\\text{total cost} = 507[/tex]
After thirty days with the mentioned use the cost of the device is R$ 507,00.
Which of the following could be used as an example of a mass of one kilogram?
A. a grocery sack of apples
B. 10 paperclips
C. a soda cup of water
D. a filled suitcase
Answers
Answer:
i would think C
Step-by-step explanation:
Answer with steps by step please
Answers
Answer:
a is 1
Step-by-step explanation:
[tex]a+\dfrac{1}{a}=2[/tex]
Multiply both sides by a:
[tex]a^2+1=2a[/tex]
Move everything to one side:
[tex]a^2-2a+1=0[/tex]
Factor:
[tex](a-1)^2=0[/tex]
By the zero product rule, a is 1.
Therefore, the expression is true, because:
[tex](1)^2+\dfrac{1}{a^2}=a^4+\dfrac{1}{a^4}=1+1=2[/tex]
Hope this helps!
Which expression does not represent "the sum of n and 6"?
O6 + n
On +6
O on
Answers
Answer:
n+6
Step-by-step explanation:
sum means add
n+6
what is the definition for a line segment
Answers
Answer: A line segment is a part of a line. It has 2 endpoints.
Step-by-step explanation:
Step-by-step explanation: In geometry, a line segment is a segment that's composed of two points, which are called the endpoints, and all the points that are between the endpoints.
So, in order for a figure to be a line segment,
it needs to begin and end at an endpoint.
Take a look at the image provided below.
Which pair of terms are not both true for the number 3? Mark Brainliest!
A. Integer and rational number
B. whole number and integer
C. Natural number and integer
D. whole number and irrational number
Answers
Answer:
D
Step-by-step explanation:
3 is not irrational, it can be converted into a fraction (ratio) 3/1 quite easily
Aubrey used 4/7 liters of paint for a mural in her room and 2/10 liter for a wall in her bathroom. Determine a reasonable estimate for the total amount of paint Aubrey used.
Answers
Answer:
27/35 is the exact answer
7/10 is an estimate
Step-by-step explanation:
4/7+2/10
Simplify the fraction
4/7+1/5
The common denominator is 35
4/7*5/5 + 1/5 *7/7
20/35 + 7/35
27/35
To estimate
4/7 is close to 1/2
2/10 is close is 1/5
1/2 + 1/5 =
5/10 + 2/10 = 7/10
Sean has some candy bars that he wants to give away. He is going to give each person \dfrac18 8 1 start fraction, 1, divided by, 8, end fraction of a bar, and he has 2\dfrac342 4 3 2, start fraction, 3, divided by, 4, end fraction bars to give away. How many people will get candy?
Answers
Answer:
22 people
Step-by-step explanation:
Sean has 2 3/4 candy bars. That is 11/4 candy bars.
He wants to give out 1/8 candy bars.
The number of people that will get candy is:
[tex]\frac{11}{4} / \frac{1}{8}\\ \\= \frac{\frac{11}{4} }{\frac{1}{8}} \\\\\frac{11}{4} * \frac{8}{1} \\\\22[/tex]
22 people can get candy.
Answer:
22 people will get candy
Step-by-step explanation:
it's correct because I got it from khan academy