¼(x - 2) + 4 = 12 / · 4
x - 2 + 16 = 48
x + 14 = 48
x = 48 - 14
x = 34
The graph shows the result of matrix operation AB, where the pre-image has dashed lines. Which matrix could represent B?
Matrix operations includes the addition, multiplication and subtraction of matrices
The correct option for the matrix that can be used to represent B is option D)
[tex]D) = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The reason the above option is correct is as follows:
From the graph, we have that the coordinates of the preimage are;
(-6, 5), (-3, 9), and (6, 5)
The coordinates of the preimage in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The coordinates of the image are;
(-6, -5), (-3, -9), and (6, -5)
The coordinates of the image in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
The above image matrix can be obtained from the primage matrix as follows:
[tex]\left[\begin{array}{rrr}1&0\\0&-1\end{array}\right]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right] = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Which is of the form AB = C
Where;
[tex]A = \left[\begin{array}{rrr}1&0\\0&-1\end{array}\right][/tex]
[tex]B = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
[tex]C = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Therefore, the matrix that could represent B is [tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex] which is option D)
Learn more about matrix operations here:
https://brainly.com/question/17058708
Solve equation. 7/8-2/3
Answer:
[tex] \frac{7}{8} - \frac{2}{3 } \\ \frac{7 \times 3}{8 \times 3} - \frac{2 \times 8}{3 \times 8 } \\ \frac{21 - 16}{24 } \\ = \frac{5}{24} [/tex]
Step-by-step explanation:
7/8-2/3
(7*3)/(8*3)-(2*8)/(3*8)
(21-16)/24
5/24
is the answer ...plzz add it to brainliest
how do you write 0.94 as a fraction with this _on top of the 4
Answer:
[tex]94/99[/tex] Or [tex]0.94[/tex] as a repeating decimal
Step-by-step explanation:
-3x-y=4 Slope-intercept form?
Answer:
y = -3x - 4
Step-by-step explanation:
-3x - y = 4
~Add 3x to both sides
-y = 4 + 3x
~Divide -1 to everything
y = -4 - 3x
~Reorder
y = -3x - 4
Best of Luck!
You need to buy a carpet that measures 7.5 yards long and 5 yards wide and costs $49.50 per square yard. How much will the carpet for the room cost?
Answer:
$1,856.25
Explanation:
To find the square yards, multiply length and width
7.5 * 5 = 37.5
Then, since each square yard costs $49.50, multiply the square yards and the cost
37.5 * 49.50 = 1,856.25
Thus the answer is $1,856.25
The carpet for the room will cost $1,856.25.
This is the product of the unit cost per square yard multiplied by the area of the room.
The area of the room is = 37.5 square yards (Length x Width)
Length of the room = 7.5 yards
Width of the room = 5 yards
Therefore, the total area of the room = 37.5 square yards (7.5 x 5)
Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).
Learn more about area of a space at https://brainly.com/question/16758524
Solve: 0 = 2x^2 + 16x
Answer:
2x^2 +16x=0
=>2 x(x+8)=0
=>2x=0 or x+8=0
=>x= 0 or x=-8
Step-by-step explanation:
How do the perimeters of the rectangles compare?
The square root of 89 is rational or irrational and why
Step-by-step explanation:
√89 is irrational number because it is not a perfect square16+24/8-6 is equal to __.
A) 6
B) 20
C) -1
D) 13
Answer:
16+21/8-6 simplifies to 13
Hope this helps!!
Answer:
D. 13
Step-by-step explanation:
Step 1:
16 + 24 / 8 - 6
Step 2:
16 + (24 / 8) - 6
Step 3:
16 + 3 - 6
Step 4:
(16 + 3) - 6
Step 5:
19 - 6
Answer = 13
Hope it helps :)
q= 4n+4w solve for n
Answer:
Step-by-step explanation:
Subtract both sides by 4w
q - 4w = 4n
Divide both sides by 4
n = q - w
Solve ( b + 3) ( b + 7) using the FOIL method. QUICK PLEASE !
Answer:
b² + 10b + 21
Step-by-step explanation:
First: b²
Outer: 7b
Inner: 3b
Last: 21
b² + 7b + 3b + 21 =
b² + 10b + 21
Answer:
[tex](b + 3)(b + 7) \\ b(b + 7) + 3(b + 7) \\ b {}^{2} + 7b + 3(b + 7) \\ b {}^{2} + 7b + 3b + 21 \\ b {}^{2} + 10b + 21[/tex]
hope this will help u :)
solve square root equation.
2x^2-25=73
Answer:
[tex]2 {x}^{2} - 25 = 73 \\ 2 {x}^{2} = 73 + 25 \\ 2 {x}^{2} = 98 \\ {x}^{2} = 98 \div 2 = 49 \\ {x}^{2} = 49 \\ x = \sqrt{49} = 7 \\ x = 7 \\ thank \: you[/tex]
name two points that are not contained in or lying in plain p
provide at least two ways to name plane P
Answer:
Points W and Zplane QRS; plane STUStep-by-step explanation:
a) points not on the plane will be somewhere other than on the shaded area representing plane P. Z and W are two such points.
__
b) The name can consist of any three points not on the same line. That means names RVX, RSU, TUV are not allowed, but any other combination of these letters, along with the letter Q, can be used. A couple of possible names are ...
QRS, STU
help me with this geometry
Answer:
x= (5X+3) DEGREES = 90 degrees (right angle)
5x=90 degrees - 3 degrees =87 degrees
5x÷5 =87 degrees ÷ 5
x=17.4 degrees
we now know our angles x = 17.4 degrees so we can know substitute into the give formula
wxz=5 (17.4)+ 3
wxz =90 degrees
zxy=we know the size of x
zxy=
8 (17.4)-4
zxy=135.2 degrees
15) Darla's marching band needs money to travel to a competition. Band
members have raised $580. They need to raise a total of $1660. Write
and solve an equation to find how much more they need.
Step-by-step explanation:
$1660-$580= $1,080
Answer:
1660 minus 580
Step-by-step explanation:
they have already raised 580. so get 1660 is to subtract 1660 to 580
the distance between the base of the tree and the base of the building is:
please
my guess is "15m" is it correct ?
Explanation:
Apply the pythagorean theorem to find the missing side.
[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]
The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.
Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.
HELP ASAP: The graph of a function g is shown below.
Use the graph of the function to find its average rate of change from x=-1 to x=3.
Simplify your answer as much as possible.
ry
8-
6-
4
2-
.
-8
-6
4
- 2
2
10
HHHHHANEL
4
6
Answer:
as all the other identical copies : 2
What is [tex]|x-6|[/tex] given that [tex]x \geq 6[/tex]
Answer:
[tex]\mid x-6 \mid \geq 0[/tex]
Step-by-step explanation:
We have two options for x; it is either 6 or greater than 6:
If [tex]x=6\\[/tex], [tex]\mid x-6 \mid = \mid 6-6 \mid = \mid 0 \mid = 0\\[/tex].
If [tex]x > 6[/tex], [tex]\mid x-6 \mid > \mid 6-6 \mid[/tex] => [tex]\mid x-6 \mid > 0[/tex].
(for example, if [tex]x=7\\[/tex], [tex]\mid x-6 \mid = \mid 7-6 \mid = \mid 1 \mid = 1 > 0[/tex])
So, [tex]\mid x-6 \mid = 0[/tex] or [tex]\mid x-6 \mid > 0[/tex]; [tex]\mid x-6 \mid \geq 0[/tex].
Can anyone explain this math problem?….
Steve goes on a road trip. He travels a total of 495 miles, and the trip takes 15 hours from start to finish.
What is his average rate of change of distance?
What are the units?
Answer:
Step-by-step explanation:
r = d/t
r = miles / hour
r = 495 / 15
r = 33 miles / hour
What is a easy method to factor a trinomial.
Answer:
To factor a trinomial in the form ax2+bx+c a x 2 + b x + c , find two integers, r and s, whose sum is b and whose product is ac. Rewrite the trinomial as ax2+rx+sx+c a x 2 + r x + s x + c and then use grouping and the distributive property to factor the polynomial.
Step-by-step explanation:
I don't know what did i wrote there.
The sum of 9 and a number is twice a number plus 14. Write an equation.
Answer:
9+x = 2y+14
Step-by-step explanation:
It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14
Roger owns a one-acre piece of land. The length of the land is 484 feet. What is the width of his property?
Answer:
W = 90 ft
Step-by-step explanation:
1 acre = 43,560 ft^2
A (area) = L (length) x W (width),
L = 484
A = 43560
W = A/L
= 43560/484
= 90 ft
Two wine tasters rate each wine they taste on a scale of 1 to 5. From data on their ratings of a large number of wines, we obtain the following probabilities for both tasters' ratings of a randomly chosen wine. Taster 1's rating for a wine is 3. What is the conditional probability that Taster 2's rating is higher than 3
I need help! Really bad a math.
Answer:
-72
Step-by-step explanation:
Substitute -4 in the equation
h(-4) = -20 + 13(-4)
h(-4) = -20 + -52
h(-4) = -72
-72 is the final answer
Answer:
Step-by-step explanation:
You are giving away a lot of points. Usually 20 will attract our attention. I mean you put up 20 and we get 10. It's enough.
h(t) = - 20 + 13t
First of all you need to understand that h(t) is a y value. The t is the x value.So when you see something in h(t)s value that isn't t, that's what you put in the value for t on the right side. That's the key to the problem.In this case t is going to be - 4
h(-4) = -20 + 13(-4)
h(-4) = -20 - 52
h(=4) = -72
name the property of (4+-4)y=0y
Answer:
o
Step-by-step explanation:
4t y=0y=0
There are 80 cupcakes to be sold at school for a
fundraiser.
1/4 were chocolate
1/5 were vanilla
The rest were strawberry flavored. How many
cupcakes were strawberry flavored?
Answer:
44
Step-by-step explanation:
Let S = strawberry count
Chocolate = 1/4 * 80 = 20
Vanilla = 1/5 * 80 = 16
Total = C + V + S
80 = 20 + 16 + S
80 - 20 - 16 = S = 44
Need Help!!!!!!!!!!!!!!Find the outer perimeter of this figure. Round your answer to the nearest hundredth.
Answer:
The perimeter of the figure is 14.71 ft
Step-by-step explanation:
The outer perimeter of the figure is the sum of the boundary dimensions.
The missing outer dimension is the length of the arc or half circumference.
Length of arc formula/half circumference = 1/2 πr = 1/2 x 3.14 x 3 ft = 4.71 ft
The other dimensions are 5ft and 5ft.
Therefore, the outer perimeter of the figure is:
4.71 ft + 5 ft + 5 ft = 14.71 ft
Can someone help me again pls?
Answer:
94,237,108?
Step-by-step explanation:
I WILL GIVE BRAINLIEST AND 100 POINTS (answer correctly) I NEED NUMBER 12 DONE ASAP!!
Answer:
16Step-by-step explanation:
p³/r² - (m + np) = (-8)³/4² - (-32 + 2(-8)) = -512/16 - (-32 - 16) = -32 + 48 = 16m+np
-32-16-48Now
-32-(-48)16Proving functions are inverses of each other: are these inverses of each other band can you explain why or why not.
9514 1404 393
Answer:
a) J(K(x)) = x; K(J(x)) = x; functions are inverses
b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses
c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4
Step-by-step explanation:
a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.
J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses
K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses
__
b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses
g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses
__
c) To find the inverse function for y = f(x), solve x = f(y).
The inverse of f(x) = 4 -x is ...
x = f(y) = 4 -y
y = 4 -x . . . . . add y-x to both sides
f^-1(x) = 4 -x
and for g(x) = x -4, the inverse is ...
x = g(y) = y -4
x +4 = y
g^-1(x) = x +4
