Answers
Answer:
(f - g)(x) = -x² + 3x + 7 ⇒ D
Step-by-step explanation:
In the expression x - a, you will subtract a from x
Let us solve the question using this fact
∵ f(x) = 3x + 1
∵ g(x) = x² - 6
→ We need to find (f - g)(x), which means subtract g from x
∵ (f - g)(x) = (3x + 1) - (x² - 6)
→ The negative sign before (x² - 6) will change their signs
∵ - (x² - 6) = -(x²) + -(-6)
→ Remember (-)(+) = - and (-)(-) = (+)
∴ - (x² - 6) = -x² + 6
→ Substitute it in (f - g)(x)
∴ (f - g)(x) = 3x + 1 - x² + 6
→ Add the like terms
∴ (f - g)(x) = 3x - x² + (1 + 6)
∴ (f - g)(x) = 3x - x² + 7
→ Re-arrange the terms from the greatest power of x
∴ (f - g)(x) = -x² + 3x + 7
Related Questions
The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
of the first seven terms is 84. Find the first term.
Answers
Answer:
a₁ = - 24
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₇ = 2a₅ , then
a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )
- a₁ - 2d = 0 → (1)
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
Given [tex]S_{7}[/tex] = 84 , then
[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84
3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )
2a₁ + 6d = 24 → (2)
Thus we have 2 equations
- a₁ - 2d = 0 → (1)
2a₁ + 6d = 24 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate d
- 3a₁ - 6d = 0 → (3)
Add (2) and (3) term by term to eliminate d
- a₁ = 24 ( multiply both sides by - 1 )
a₁ = - 24
help me and do it out please
2x+4=12
Answers
Answer:
x=4
Step-by-step explanation:
2x=12-4
2x=8
2x/2=8/2
x=4
What is 0.362 rounded to the nearest tenth?
Answers
Answer:
0.4
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
The tenths has 3, the hundredths has 6, and the thousandths has 2. The hundredth is greater than 5, so we have to round the tenths up by 1, making it 0.4
Martin painted 255 square feet of his kitchen wall with 23 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft2
Answers
Complete Question
Martin painted 255 square feet of his kitchen wall with 2/3 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft
Answer:
765 square ft
Step-by-step explanation:
2/3 gallon of paint = 255 square feet
2 gallons of paint =
Cross Multiply
2 × 255 square feet/2/3 gallon of paint
= 510 ÷ 2/3
= 510 × 3/2
= 765 square feet
14. Given the function f(x) = 3x -9, what is the value of f(6)?
Answers
Answer:
f(6) = 3(6) - 9
Step-by-step explanation:
y = 3(6) - 9
y = 18 - 9
y / f(x) = 9
the price for rosemary is 49 cents for 6 ounces. what is the price in dollars per pound?
Answers
16x.49= $7.84
Evaluate the expressions for the given value and match them with the simplified answer.
5-x/3 for x = -3
-2 + 2x/3 for x = 6
-3 + x/2 for x = 6
2-3x/4 for x = 4
-1
0
2
6
Answers
Answer:
1st = 6
2nd = 0
3rd = -1
4th = 2
Step-by-step explanation:
Got it right on EDGE
Hope this Helps!
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The solutions of the expression for the different values of x will be,
5-x/3 = 6
-2 + 2x/3 = -1
-3 + x/2 = 0
2-3x/4 = 2
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expressions are:-
5-x/3 for x = -3
5 - (-3 / 3 ) = 6
-2 + 2x/3 for x = 6
-2 + (2 x 6 )/3 = 2
-3 + x/2 for x = 6
-3 + (6 / 2 ) = 0
2-3x/4 for x = 4
2 - ( 3 x 4 ) /4 = -1
To know more about an expression follow
https://brainly.com/question/25968875
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number of your answer choice and the answer itself.
2. The point (5,-9) is the image under the translation (x, y) = (x + 4, y - 2). What is the pre-image?
1) (9,-11)
2) (1, -7)
3) (1, -11)
4) (20, 18)
+ Ac
Pear Deck Interactive Slide
Students, write your response!
Answers
Answer:
Answer: (1,-7)
Step-by-step explanation:
since the translation is under (x + 4, y - 2)
the symbols (+ and -) would change so the translation to use would be
(x - 4, y + 2)
so you plug in (5, -9) to the new translation and you get your answer which is (1,-7)
Is x = 1 a solution of the equation 2 – 8x = –6?
Answers
Let's verify by substituting 1 to x.
2 - 8x = -6
2 - 8(1) = -6
2 - 8 = -6
-6 = -6
It is equal, therefore x = 1 is the solution.
Answer:
yes
Step-by-step explanation:
Substitute x = 1 into the left side of the equation and if equal to the right side then it is a solution.
2 - 8(1) = 2 - 8 = - 6 = right side
Thus x = 1 is a solution of the equation
Ayuda con esto tengo muchos deberes y nececito terminarlos ahora, por favor ayuda :( .María y Nancy son vecinas, y todas estas semanas han realizado compras en el mercado. La semana pasada María gastó 25,75 dólares, exactamente 3 veces más de lo que gastó Nancy, que tenía poco que comprar. ¿Cuánto dinero se gastó Nancy?
Answers
Answer:
Nancy gastó 8,58 dólares.
Step-by-step explanation:
Para calcular cuánto dinero gastó Nancy, debemos hallar la relación entre Nancy y María, tal como sigue:
[tex] M = 3N [/tex] (1)
En donde M es por María y N por Nancy
En la relación de la equación (1) tenemos que el dinero que gastó María es 3 veces lo que gastó Nancy, tal como dice el enunciado.
Entonces, podemos hallar ahora cuánto gastó Nancy:
[tex] N = \frac{M}{3} = \frac{25,75}{3} = 8,58 [/tex]
Por lo tanto, Nancy gastó 8,58 dólares.
Espero que te sea de utilidad!
Please help!!! will give brainliest
Answers
Answer:
Angle D
Step-by-step explanation:
If you flip the triangle upside down, Angle D should be in the same location as Angle A. Congruent triangles will have corresponding congruent angles.
Somebody help ...............................
Answers
HELP ASAP PLZZZZZ Which property is used in the first step to solve this equation?
4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction
Answers
Answer:
Distributive Property
Step-by-step explanation:
4(x-6)=5.4x-24
4x-24=5.4x-24
need help answer quick
Answers
Answer:
number 10
k= 36
number 11
k=33
The difference of three times a number and 4 is 8. What is the value of n?
a. -1.3
C. 4
b. -4
d. 1.3
Answers
Answer:
It’s c
Step-by-step explanation:
I just did it in edg
A company's stock began the day at $36.66 per share. That price drops by $1.69 each hour.
a. What is the price per share after 6 hours?
Answers
Answer:
After 6 hours the price per share is $26.52
Step-by-step explanation:
You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.
Hope this helps!
Who is the coach for - (-5x + 9)
Answers
Answer:
[tex]=5x-9[/tex]
Step-by-step explanation:
[tex]-\left(-5x+9\right)[/tex]
[tex]Distribute\: parentheses[/tex]
[tex]=-\left(-5x\right)-\left(9\right)[/tex]
[tex]Apply\:minus-plus\:rules[/tex]
[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]
[tex]=5x-9[/tex]
What is the equation of the line that passes through the point (-8, 3) and has a
slope of -1/4
Answers
Answer:
-1/4x + 1 ( If this is wrong then ignore this)
Step-by-step explanation:
The formula for a problem like this is y - y1 = m(x - x1). The x coordinate, -8 is the x1 and the y coordinate 3 is x1. So the equation is y - 3 = -1/4(x + 8)
Equation:
y - 3 = -1/4(x + 8)
y - 3= -1/4x - 2
y = -1/4x + 1
Therefore the equation for the line is y = -1/4x + 1
Given parameters:
Slope of the line = [tex]-\frac{1}{4}[/tex]
Coordinates of the points = (-8, 3)
Unknown:
Equation of the line = ?
Solution:
To find the equation of the line, we must note that any straight line can be represented by the equation;
y = mx + c
where x and y are the coordinates
m is the slope
c is the y-intercept of the line
Input the parameters and solve for c;
x = -8 and y = 3;
3 = [tex]-\frac{1}{4}[/tex] x (-8) + c
3 = 2 + c
c = 1;
So the equation of the line is ;
y = [tex]-\frac{1}{4}[/tex]x + 1
multiply through by 4;
4y = -x + 4
The equation of the line is 4y = -x + 4
Rohini spends 88℅ of her monthly income. If she saves rs 3420 per month,what is her monthly income ?
Answers
Answer:
rs 28500
Step-by-step explanation:
If she saves rs3420 and spends 88% we need to convert 88% to a decimal first.
88% = 88/100 = .88
Let m equal her monthly income.
m - .88m = 3420
.12m = 3420
.12m/.12 = 3420/.12
m = 3420/.12
m = 28500
He monthly income is rs28500.
is 3.14 a terminating decimal ?
Answers
Answer:
Yes, it is a terminating decimal.
Step-by-step explanation:
3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.
Helppp I need to pass critical! Oh um will give brainliest if requested!
Answers
Answer:
Subtraction property of equality (a)
The answer is A because the subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
Simplify 6(3a - 8b + 2)
Answers
18a-48b+12
If the area of a rectangle is 100, then the length is 25 and the width is 4
Answers
Answer:
Yes.
Step-by-step explanation:
since area is length x the width, so in this case it would be 25 x 4 = 100
Deductive reasoning uses all of the following except...
A. Laws
B. Patterns
C. Facts
D. Rules
Answers
To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?
A) Because this is a convenience sample, it is likely that the sample results will be unbiased.
B) Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C) Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
D) Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
Answers
Answer:
WARNING! C IS INCORRECT 2021.
MOST LIKELY (B): Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
ED2021
A hotel patron starts at the fifth floor and goes up seven floors to meet a friend. How many levels, and in which direction, must they take the elevator to get to Parking A? Express your answer in one or more complete sentences.
Answers
Answer:
they must go 12 floors downwards because parking A has to be on the last floor
Answer:
they other person is somewhat correct
Step-by-step explanation:
Angle A and Angle B are supplementary. If Angle A has a measure of 100 degrees and Angle B has a measure of 7x, what is the value of x?
Answers
Answer:
x=11.429 (rounded) because a supplementary angle is equal to 180 degrees so 180-100=80. 80/7=11.429 (rounded).
find the distance between points (2, 9) and (5, 4) to the nearest tenth
Answers
Answer:
[tex]Distance = 5.8[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(4-9)^{2} } { (5-2)} ^{2} \\[/tex]
[tex]d = -5^{2} + 3^{2}[/tex]
[tex]d= 25 + 9[/tex]
[tex]d= \sqrt{34}[/tex]
[tex]distance = 5.8[/tex]
what is the change between -15 and 11
Answers
What is the probability that a randomly chosen exam score is above 300?
Answers
Answer:
I DONT KNOW SORRY DO YOU HAVE ANY OTHER QUESTIONS ON ANYTHING ELSE?
Step-by-step explanation: