Answers
Answer:
Step-by-step explanation:
f(x) + g(x) = x^2 - 2x + x + 12
f(x) + g(x) = x^2 - x + 12
(f + g)( -1) = 1 + 1 + 12 = 14
f(x) - g(x) = x^2 - 2x - x - 12
f(x) - g(x) = x^2 - 3x - 12
(f + g)(-1) = (-1)^2 -(3)(-1) -12
(f + g)(-1) = 1 + 3 - 12
(f + g)(-1) = - 8
Related Questions
Please help asap!!
Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.
А. (-4,1)
B. (-3, -4)
C. (0, -3)
D. (0,1)
E. (5,-2)
Answers
Hope this helps
Which inequality is represented by this graph?
A. X > 3
B. X ≥ 3
C. X > 4
D. x ≥ 4
Answers
Answer:
D. is the correct answer because it is greater than for 4 And also includes it
Answer:
D
no explanation lol I know its D
2. ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in terms of a and b, the directed line segments (i) AB, (ii) AD, (iii) BD and (iv) AC.
Answers
Answer:
The answer is below.
Step-by-step explanation:
A square is a quadrilateral (has four sides and four angles) in which all the sides are equal. Also all the angle of a square are equal and measure 90°. The diagonals of a square are equal.
In square ABCD:
AB = BC = CD = AC
Given that P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b.
a) In triangle ABP:
BC = AB (all sides of a triangle are equal)
BP = 1/2 (BC) = 1/2(AB) = 0.5AB
Using Pythagoras theorem:
AB² + BP² = AP²
substituting:
AB² + (0.5AB)² = a²
AB² + 0.25AB² = a²
1.25AB² = a²
AB² = a² / 1.25
AB² = 0.8a²
AB = √(0.8a²)
AB = a√0.8
b) In triangle ADQ:
AD = CD (all sides of a triangle are equal)
DQ = 1/2 (CD) = 1/2(AD) = 0.5AD
Using Pythagoras theorem:
AD² + DQ² = AQ²
substituting:
AD² + (0.5AD)² = b²
AD² + 0.25AD² = b²
1.25AD² = b²
AD² = b² / 1.25
AD² = 0.8b²
AD = √(0.8b²)
AD = b√0.8
c) In triangle ABD, Using Pythagoras theorem:
AB² + AD² = BD²
Substituting:
0.8a² + 0.8b² = BD²
But AB = AD (all sides of a triangle are equal). Hence AB = AD = 0.8a² = 0.8b²
BD = √(0.8a² + 0.8b²)
BD = √(1.6a²) 0.8a² = 0.8b²
BD = a√1.6
D) AC = AD (diagonal are equal)
AC = √(0.8a² + 0.8b²)
AC = √(1.6b²) 0.8a² = 0.8b²
AC = b√1.6
What is the derivative of sin(2x+5)?
Answers
Step-by-step explanation:
[tex] \sin(2x + 5) [/tex]
Let y = sin(z) . Where z = 2x +5
[tex]y = \sin(z) \\ z = 2x + 5[/tex]
Find the the derivatives
[tex] \frac{dy}{dx} = \cos(z) [/tex]
[tex] \frac{dz}{dx} = 2[/tex]
Multiply
[tex] \frac{dy}{dx} = \cos(z) \times 2 \\ = 2 \cos(z) [/tex]
Remember that z = 2x+5
[tex]2 \cos(2x + 5) [/tex]
Please help asap!!!
The graphs of linear functions f and g are shown.
Enter the solution to the equation
Answers
Answer:
I think the answer is 5 (y = 5) because the lines intersection at x = -3.
hey what is better butter or cheese?
i really need to know its argent!!!
Answers
Answer:
CHEEEESEEE
Step-by-step explanation:
CHEESEBURGER CHEESECAKE GRILLED CHEESE CHEESESTICKS CHEEESE ENCHILIADAS BROCOLLI CHEESE SOUP CREAMY MAC AND CHEESE POTATO CHEESE BALLS hAM & CHEESE SANDWICH CHEESE EVERYTHING MUAHAHHAHAAHAHAHAAAAAAAAAAAAAAAAAAAAAAAA
Find the distance d (P1, P2) between the points P, and P2.
P1 = (-2,5); P2 = (4,0)
(P4, P2) - (Type an exact answer, using radicals as needed.)
Answers
Answer:
[tex]\sqrt{61}[/tex] units
Step-by-step explanation:
We are given that
[tex]P_1=(-2,5)[/tex]
[tex]P_2=(4,0)[/tex]
We have to find the distance d (P1, P2) between the points P, and P2
We know that
Distance between two points (x1,y1) and (x2,y2) i
=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the formula
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{(4-(-2))^2+(0-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
[tex]=\sqrt{(4+2)^2+(-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{6^2+25}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{61}[/tex] units
f(x)=x^2-x^3
what's the value of f(-2)
Answers
=4-(-8)
=4+8
=12
Answer:
Step-by-step explanation:
f(-2) = (-2)^2 - (-2)^3
= 4 - (-8)
= 4 + 12
= 16
rearrange the following formulato make t
the subject:
b= T / 3 -5
Answers
3b=t-5
then 5 to the other side
5+3b=T
Can someone help me............................
Answers
Answer:
a), and d)
Step-by-step explanation:
[tex](x^{2}) * (\sqrt{x}) = (x^{2}) * x^{1/2} = x[/tex]
Marsha had $4.00 in her pocket in the
morning, and Mark had $0.50. Marsha
sells her sweets for $0.25 each, and
Mark sells his for $0.50 each.
If Marsha and Mark both sold the
same number of sweets, and they
have the same amount of money at
the end of the day, how many sweets
did they each sell?
PLEASE EXPLAIN
Answers
They would both have to sell 14 candies.
Step-by-step explanation:
They both sell 14 candies
Three even numbers sum up to 108. The smaller is half the larger and the middle number is 3/4 the larger. What
are the three numbers
Answers
Answer:
Step-by-step explanation:
Represent the three even numbers as 2x, 2y, 2z, where x,y,z are integers.
2x+2y+2z = 108
x+y+z = 54
Let x≤y≤z
x = z/2
y = ¾z
z/2 + 3z/4 + z = 54
2z/4 + 3z/4 + 4z/4 = 54
2z + 3z + 4z = 216
9z = 216
z = 24
x = z/2 = 12
y = ¾z = 18
The numbers are 24, 36, 48
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answers
Hope this helps
Have a great day/night
Feel free to ask any questions
Please look at picture
Answers
Answer:
By sum interior angle of triangle is equal to third exterior angle hence
z = x + y
No find x and y
Sum triangle is 180 degree
A spinner with 12 equally sized slices has 4 blue slices, 3 red slices, and5 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue or red slice?
Answers
Which expressions are polynomials?
Select each correct answer.
2 + s
4x^3 + y
x^2 - x squared + 2
y
Answers
Answer:
The third one
Step-by-step explanation:
Let f(x) = tan(x) - 2/x. Let g(x) = x^2 + 8. What is f(x)*g(y)?
Answers
Answer:
[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]
Step-by-step explanation:
We are given that
[tex]f(x)=tan(x)-\frac{2}{x}[/tex]
[tex]g(x)=x^2+8[/tex]
We have to find [tex]f(x)\times g(y)[/tex]
To find the value of [tex]f(x)\times g(y)[/tex] we will multiply f(x) by g(y)
[tex]g(y)=y^2+8[/tex]
Now,
[tex]f(x)\times g(y)=(tanx-\frac{2}{x})(y^2+8)[/tex]
[tex]f(x)\times g(y)=tan(x)(y^2+8)-\frac{2}{x}(y^2+8)[/tex]
[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]
Hence,
[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]
A finite arithmetic sequence has 12 termsThe last term is 100 and the common difference is 3. What is the first term?
Answers
Answer:
67
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of terms (n) = 12
Last term (L) = 100
Common difference (d) = 3
First term (a) =?
We can obtain the first term of the arithmetic sequence as follow:
L = a + (n – 1)d
100 = a + (12 – 1)3
100 = a + (11)3
100 = a + 33
Collect like terms
100 – 33 = a
a = 67
Therefore, the first term of the arithmetic sequence is 67
Triangle DEF with vertices D(2, 6), E(5, 6)and F(5, 1). Write the coordinates of triangle D’E’F’ after a
reflection over the y-axis.
Answers
Answer:
The coordinates of triangle after reflection over y-axis
D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)
Step-by-step explanation:
Explanation:-
Given that DEF with vertices D(2,6), E(5,6), and F(5,1)
Given that the triangle DEF reflection over the 'y' - axis then transformed into
( x,y) → (-x,y)
Now,
D(2,6) → D¹( -2 ,6)
E(5,6)→ E¹( -5 ,6)
F(5,1)→ F¹ (-5,1)
Final answer:-
The coordinates of triangle after reflection over y-axis
D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)
What is the discriminate of y=x^2-8x+2
Answers
Answer:
56
Step-by-step explanation: Use the values of a, b, and c to find the discriminant.
Answer:
[tex]\Delta =56[/tex]
Step-by-step explanation:
We are given:
[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]
So, a = 1, b = -8, and c = 2.
The discriminant (symbolized by Δ) is given by:
[tex]\Delta =b^2-4ac[/tex]
So, our discriminant in this case will be:
[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]
Since our discriminant is a positive value, our equation has two real roots.
Find the following for the function f(x)= 3x2 + 4x - 3.
(a) f(0)
(e) -f(x)
(b) f(3)
(f) f(x + 2)
(c) f(-3)
(g) f(3x)
(d) f(-x)
(h) f(x + h)
Answers
Step-by-step explanation:
a. -3
e. -3x^2 -4x +3
b 27+12-3= 36
f. 3(x+2)^2 + 4(x+2) -3
c. 27-12-3= 12
g. 3(3x)^2 + 4(3x) -3
d. 3x^2 -4x -3
h. 3(x+h)^2 + 4(x+h) -3
The all values of the function f(x)= 3x² + 4x - 3 are f(0) = -3 ,-f(x) = -3x² -4x +3, f(3) = 27+12-3= 36 ,f(x + 2)= 3(x+2)² + 4(x+2) -3 ,f(-3)= 27-12-3= 12,f(3x) = 3(3x)² + 4(3x) -3,f(-x) = 3x² -4x -3,f(x + h) = 3(x+h)² + 4(x+h) -3.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
a) f(0) = -3
(e) -f(x) = -3x² -4x +3
(b) f(3) = 27+12-3= 36
(f) f(x + 2)= 3(x+2)² + 4(x+2) -3
(c) f(-3)= 27-12-3= 12
(g) f(3x) = 3(3x)² + 4(3x) -3
(d) f(-x) = 3x² -4x -3
(h) f(x + h) = 3(x+h)² + 4(x+h) -3
For more about the function,
brainly.com/question/23712366
#SPJ2
VERY QUICK HELP!!!! A toy pyramid has the dimensions shown below. The base of the pyramid is an equilateral triangle. What is the surface area of this pyramid?
Answers
Answer: 102cm²
Step-by-step explanation:
Area of base = 6 × 7 ÷ 2 = 21
Area of lateral face = 6 × 9 ÷ 2 = 27
Since all of the sides of the base are equal, we can multiply the area of 1 lateral face by 3 to get the area of all the lateral faces.
27 × 3 = 81.
Now we add up the area of the base and the lateral faces.
21 + 81 = 102cm²
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
Find the value of x
25 points
Answers
Answer:
[tex]x = 2.5[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Find x
To solve for x, we make use of the following equivalent ratio
[tex]x :3.5 = 5 : 7[/tex]
Express as fractions
[tex]\frac{x}{3.5} = \frac{5}{7}[/tex]
Make x the subject
[tex]x= \frac{5}{7}*3.5[/tex]
[tex]x= \frac{5}{2}*1\\[/tex]
[tex]x = 2.5[/tex]
What is the answer to the following?
Answers
Answer:
63
Step-by-step explanation:
Answer:
63 degrees
Step-by-step explanation:
It is greatest to least fractions
Answers
Answer:
D
Step-by-step explanation:
The best way to work with fractions is to turn them into decimals by dividing the numerator by the denominator.
Answer:
b
Step-by-step explanation:
smaller the number bigger the size
The equation can be stated in three forms:
In the first set of problems below, you will be given the mass of an object and the acceleration of that object, and then will need to solve for force, using the equation F = ma.
In other words, you will need to multiply the mass times the acceleration to calculate the force.
Be sure to convert any mass stated in grams into kilograms, by dividing it by 1000 (moving the decimal place over three places to the left). For example, 1000 grams is equal to 1 kilogram.
Be sure to state the proper units in your answer.
1. An object with a mass of 2.0 kg accelerates 2.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
2. An object with a mass of 5.0 kg accelerates 8.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
3. An object with a mass of 1500 g (grams) accelerates 10.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________ force force f = m•a m = f/a a = f/m
4. An object with a mass of 6.0 kg accelerates 4.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
5. An object with a mass of 7.5 kg accelerates 8.3 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
In this next set of problems below, you will be given the force applied to an object and the acceleration of that object, and then will need to solve for mass, using the equation m = F/a. In other words, you will need to divide the force by the acceleration to calculate the mass. Show your work in the space provided. Be sure to state the proper units in your answer.
6. An object accelerates 3.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
7. An object accelerates 12.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
8. An object accelerates 5.0 m/s2 when a force of 20.0 newtons is applied to it. What is the mass of the object? ___________________________
9. An object accelerates 2.0 m/s2 when a force of 12.0 newtons is applied to it. What is the mass of the object? ___________________________
Answers
Answer:
Hey this is your sign to have a great day!
Step-by-step explanation:
Good Luck!!!!!!!!!11
15 POINTS‼️‼️‼️
Part B: Solve for x. Show your work.
Answers
Answer:
Step-by-step explanation:
A straight line adds up to 180 degrees, therefore 3x+6x = 180
9x = 180
x = 20
Find the equation of a parabola whose vertex is at (−1, 7), whose axis of symmetry is
x = −1, and whose y-intercept is (0, 10). Write your answer in vertex form.
Answers
Answer:
Step-by-step explanation:
The axis of symmetry is vertical, so the parabola is vertical.
Vertex-form equation for a vertical parabola with vertex (h,k):
y = a(x-h)² + k
axis of symmetry: x = h
Apply your data and solve for h, k, and a.
vertex (-1,7)
h = -1
k = 7
y = a(x+1)² + 7
(0,10) is a point on the parabola
10 = a(0+1)² + 7
a = 3
The equation becomes
y = 3(x+1)² + 7
hi how do i do this please
Answers
Answer:
160
Step-by-step explanation:
Rectangle = 10x15=150
Triangle = 1/2x5x4=10
150+10=160
Step-by-step explanation:
Area of rectangle = width × length
= 10 × 15 = 150 cm²
The height of triangle = 14 - 10 = 4 cm
Area of triangle = 1/2 × base × perpendicular height
= 1/2 × 5 × 4
= 10 cm²
Area of this figure = area of rectangle + area of triangle
= 150 + 10 = 160 cm²
what is :
2x + 10 = ?
Answers
Answer:
x = -5
Step-by-step explanation:
2x = -10
x = -10/2
x = -5
And if is not so the answer is 5