Answer:
45°, 90°, 135°, 180°, 225°, 270°, 315
Step-by-step explanation:
Given the definitions of f(x) and g(x) below, find the value of g(f(0))
f(x)= -x+9
g(x)=x^2 - 6x+9
Answer:
The value of g(f(0)) is 36
Step-by-step explanation:
g(f(x)) is a composite function, where f(x) is the value of x in g(x), which means substitute x in g(x) by f(x)
Let us use this rule to solve our question
∵ f(x) = -x + 9
∵ g(x) = x² - 6x + 9
→ Substitute x in g by f
∵g(f(x)) = g(-x + 9)
∴ g(f(x)) = (-x + 9)² - 6(-x + 9) + 9
→ Let us simplify it
∵ (-x + 9)² = (-x)(-x) + (-x)(9) + (9)(-x) + (9)(9)
∴ (-x + 9)² = x² + -9x + -9x + 81
→ Add the like terms (-9x + -9x)
∴ (-x + 9)² = x² + -18x + 81
→ Remember (+)(-) = (-)
∴ (-x + 9)² = x² - 18x + 81
∵ - 6(-x + 9) = -6(-x) + (-6)(9)
∴ - 6(-x + 9) = 6x + -54
∴ - 6(-x + 9) = 6x - 54
→ Substitute them in g(f(x))
∴ g(f(x)) = x² - 18x + 81 + 6x - 54 + 9
→ Add the like terms
∴ g(f(x)) = x² + (-18x + 6x) + (81 -54 + 9)
∴ g(f(x)) = x² + (-12x) + (36)
∴ g(f(x)) = x² - 12x + 36
→ Now substitute x by 0
∴ g(f(0)) = (0)² - 12(0) + 36
∴ g(f(0)) = 0 - 0 + 36
∴ g(f(0)) = 36
There is an easy way to find it quickly
Substitute x in f by 0
f(0) = -(0) + 9
f(0) = 9
Substitute x in g by 9
Find g(9)
g(9) = (9)² - 6(9) + 9
g(9) = 81 - 54 + 9
g(9) = 36
Please help gang gang
Answer:
A, a centimeter is smaller so therefore it is more accurate.
Find the values of x:
I don’t understand how to do this please help
Answer:
x = 8
Step-by-step explanation:
11x - 34 and 7x - 2 are vertical angles and congruent, thus
11x - 34 = 7x - 2 ( subtract 7x from both sides )
4x - 34 = - 2 ( add 34 to both sides )
4x = 32 ( divide both sides by 4 )
x = 8
-----------------------
11x - 34 = 11(8) - 34 = 88 - 34 = 54
18y and 11x - 34 are adjacent angles and supplementary , thus
18y + 54 = 180 ( subtract 54 from both sides )
18y = 126 ( divide both sides by 18 )
y = 7
Simon is doing an obstacle course in gym class. First, he runs 500 meters and jumps over a hurdle. Then, he crawls through a 20-meter tunnel. Finally, he dribbles a soccer ball 100 meters to the finish line. How many kilometers long is the obstacle course?
kindly need some answers
Angle A = 100 (supplementary to the 80 angle)
Angle D = 100 (same reason)
Angle I = 130 (supplementary to the 50 angle)
Angle K = 100 (supplementary to angle H, and angle H = 80 since it is corresponding to the 80 angle)
Angle E = 80 (supplementary to angle A, and angle A = 100)
Note : Supplementary angles add up to 180, and corresponding angles are equal to each other. (with the condition of 2 lines are parallel to each other.)
Answer:
Angle A = 100
Angle D = 100
Angle I = 130
Angle K = 100
Angle E = 80
Step-by-step explanation:
2. Describe your strategy for finding the area that needs to be painted. (2 points)
3. Find the area of each shape. Use 3.14 for π. (4 points)
4. What is the total area to be painted? (2 points)
Answer:
2. do part 3, then subtract area not painted from the overall area
3. triangle: 16 ft²; semicircle: 6.28 ft²; rectangle: 48 ft²
4. 57.72 ft²
Step-by-step explanation:
2.The area that needs to be painted can be found by determining the overall area of the shape and subtracting the area that is not painted.
__
3.The area of the triangle is given by the formula:
A = 1/2bh
A = 1/2(8 ft)(4 ft) = 16 ft²
The area of the semicircle is ...
A = 1/2πr²
A = 1/2(3.14)(2 ft)² = 6.28 ft²
The area of the rectangle is ...
A = bh
A = (8 ft)(6 ft) = 48 ft²
__
4.The triangle and rectangle are painted. They constitute the overall shape of the set piece. The semicircular window is a hole, so does not need to be painted. Then the painted area is ...
triangle area + rectangle area - semicircle area
= 16 ft² +48 ft² -6.28 ft² = 57.72 ft² . . . painted area
2.
1. Which of the following translations is needed to
carry preimage ARST to its image AR'S'T'?
Ay
5
SY
7
-5
5
R'
1
R
-
ロロロ
A (x,y) → (x +3, y + 4)
B (x,y) → (x - 4, y + 3)
C (x,y) → (x + 5, y + 3)
D (x,y) → (x-5, y - 3)
-
Need help
Answer:
B
Step-by-step explanation:
consider the coordinates of T and T'
T (1, - 2 ) and T' (- 3, 1 )
1 → - 3 in the x- direction is - 4
- 2 → 1 in the y- direction is + 3
then the translation rule is (x, y ) → (x - 4, y + 3 )
The greatest common factor of each term in the expression 60 a b minus 72 b is 12b. Which choice shows the expression written as a product?
12 b (5 a b minus 6 b)
12 b (5 a minus 6)
12 b (48 a minus 60)
12 b (48 a b minus 60 b)
Answer:
B--- 12 b (5 a minus 6)
Step-by-step explanation:
i took the quiz (edge 2021)
On the track and field team, 38 of the members do the hurdles.
Of the members who do the hurdles, 45 also do the long jump.
If there are 40 members on the track team, how many do both the hurdles and the long jump?
Enter your answer in the box.
Answer:
your answer would be seven
I’ll give brainiest Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
Step-by-step explanation:
20.32cm=8in.
17.78cm=7in.
volume of cylinder=
[tex] \frac{22}{7} \times 20.32 \times 20.32 \times 17.78 = 23072.99cm ^{3} [/tex]
[tex] \frac{22}{7} \times 20.32 \times 20.32 \times 35.56 = 46145.97cm^{3}[/tex]
is this true or false
Step-by-step explanation:
im not really sure because there is no question
Please just answer 14 please.
Answer:
length needs to be >10
Step-by-step explanation:
If we put 10 as the length as 10 it would equate to 50 square inches
but the question asks for greater than 50
therefore the length needs to be more than 10
Which equation for g(x) represents the transformation of f(x) given that f(x) =x^2
g(x) = f(x) shifted right 2 units
Help!!
Answer:
g(x) = (x - 2)²
Step-by-step explanation:
If we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:
⇒ To shift f(x) b units to right → f(x - b)
Similarly, in function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:
⇒ To shift f(x) b units to left → f(x + b)
Given function f(x) = x²
Shift 2 units to the right: f(x - 2) = (x - 2)²
Therefore, g(x) = (x - 2)²
----------------------------------------------------------------------
Additional info:
g(x) = (x - 2)²
= (x - 2)(x - 2)
= x² - 4x + 4
A nonagon has angles that measure 150°, 130°, 130°, 150°, 140°, 140°, 150°, 130°, and d. What is d?
Answer:
d = 140°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a nonagon has 9 sides , then
sum = 180° × 7 = 1260°
sum the angles and equate to 1260
150° + 130° + 130° + 150° + 140° + 140° + 150° + 130° + d = 1260°, that is
1120° + d = 1260° ( subtract 1120° from both sides )
d = 140°
A photograph is enlarged to three times the size of the original. Which of the following statements is true? A. The area of the enlargement is three times the area of the original. B. The area of the enlargement is six times the area of the original. C. The area of the enlargement is nine times the area of the original. D. The area of the enlargement is twelve times the area of the original.
Answer:
A.
Step-by-step explanation:
PLEASE HELP!! FIND THE AREA OF THE PARALLELOGRAM IN THE IMAGE ABOVE
Answer:
36cm square
:)
Step-by-step explanation:
Which of the following statements correctly uses the distributive property?
-2(15 - 3) = -2(15) + (-2)(3)
7(9 - 8) = 7(9) - 8
9(-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)
Multiply the number outside the parentheses by each number inside.
Remember a negative x a negative becomes positive. A negative x a positive is negative.
The correct one is 9(-7 + 6) = 9(-7) + 9(6)
Answer:
The correct one would be 9(-7 + 6) = 9(-7) + 9(6)
Step-by-step explanation:
Justin buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of
the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many fluid ounces of juice did Justin buy?
Answer:
d
Step-by-step explanation:
he bought 12.5
Find the value of x.
E
D
51°
G
(14x – 38)
F
Answer: 10
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
There are 12 third-grade students and 15 fourth-grade students in the band.
They will travel to a concert in cars that can hold 4 students each. Which of
these can be used to find out how many cars are needed to drive the students?
Answer:
The answer is the first one (12+15) / 4
point p is on a unit circle. Solve for the coordinates of p
Answer:
I'm sorry I don't know how to do this but when I do i'll tell u :)
Step-by-step explanation:
using the net below find the surface area of the triangular prism.
Answer:
87 sq in
Step-by-step explanation:
Surface area of the net
[tex] = 3(8) + 3(6) + (2) \frac{1}{2} (6)(5) + (5)(3) \\ \\ = 24 + 18 + 30 + 15 \\ \\ = 87 \: {in}^{2} [/tex]
Based on the type of equations in the system, what is the greatest possible number of solutions? StartLayout Enlarged left-brace 1st Row x squared y squared = 9 2nd row 9 x 2 y = 16 EndLayout 1 2 3 4.
The possible number of solutions to the equations in the system is 2. A solution is a collection of data designated to the unexplored variables.
What is the solution?A solution is a set of values assigned to the unknown variables that ensure the equation's equality.
To put it another way, a solution is a value or a set of values (one for each unknown) that, when substituted for the unknowns, makes the equation equal.
The given system of equation is;
[tex]x^2+y^2=9[/tex]
The standard equation of the circle is;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
On comparing the given equation with the standard equation;
The first equation shows the center is at origin(0,0). and radius is 3.
The second equation shows the given equation is a straight line.
As we know that a straight line can only intersect a circle at a maximum of 2 points.
Hence the possible number of solutions to the equations in the system is 2.
To learn more about the solution refer to the link;
brainly.com/question/545403
what is y=-2/3x+5/3 in point-slope form
Answer:
This is form as y=mx+c, where m is slope line, c is y- intercept
so by comparain
m=-2/3
If the perimeter of a rectangular room of 5 m high is 26 m, what will be the area of four walls of the room?
In a list of seven consecutive numbers a quarter of the smallest number is five less than a third of the largest number. If x is the smallest number, find expressions for:
a) “a quarter of the smallest number”
b) “five less than a third of the largest number”
Please see the solution.
Step-by-step explanation:[tex]Since\ x\ is\ the\ smavest\ number,\\ the\ Cavgent\ number\ equals\ to\ x+6.[/tex]
[tex]a)\frac{1}{4}x[/tex]
[tex]b)\frac{1}{3}(x+6)-5=\frac{1}{3}x+2-5=\frac{1}{3}x-3[/tex]
I hope this helps you
:)
Find the value of x
need help asap pls
will give brainliest
Answer: 10
Step-by-step explanation:
helpp 50 points
What must be true for lines a and b to be parallel lines? Select two options.
Answer:
The two answers that you have are correct: m<1=(4x-10) and m<2=58
Step-by-step explanation:
Answer:
A & B
mAngle1 = (4 x minus 10) degrees
mAngle2 = 58Degrees
Step-by-step explanation:
I GOT ONE QUESTION WRONG ON THE QUIZ BUT IT WASNT THIS ONE SO WOO
If 23% of "A" is 46 , then find "A"
Step-by-step explanation:
23percent *A=46
23/100*A=46
A=46*100/23
A=200
answer Is 200
plz follow me
Maya has 120 caramel apples to sell. Each caramel is covered with one topping. 1/5 of the caramel apple are covered with peanuts 1/3 are covered with chocolate chips 3/10 are covered with coconut The rest with sprinkles How many caramel apples are covered with sprinkles
Answer:
20 caramel apples are covered with sprinkles
Step-by-step explanation:
Let the fraction representing total number of apples = 120 = 1
We are told in the question:
1/5 of the caramel apple are covered with peanuts 1/3 are covered with chocolate chips 3/10 are covered with coconut The rest with sprinkles
Hence:
1 = 1/5 + 1/3 + 3/10 + Sprinkles
Sprinkles = 1 - (1/5 + 1/3 + 3/10)
LCM = 30
1 - (6 + 10 +9/30)
1 - 25/30
1 - 5/6
Fraction of caramel apples covered sprinkles = 1/6
The number caramel apples covered with sprinkles = 1/6 of 120 caramel apples
= 1/6 × 120
= 20 caramel apples are covered with sprinkles