Answers
Answer:
C
Step-by-step explanation:
Solving the inequality
[tex]\frac{1}{2}[/tex] x - 2 > 0 ( add 2 to both sides )
[tex]\frac{1}{2}[/tex] x > 2 ( multiply both sides by 2 )
x > 4
Since greater than 4 we want a number line with an open circle at 4, indicating x is not equal to 4 and arrow pointing to the right.
Hence C
Related Questions
What is the vertex of the quadratic function f(x) = (x – 6)(x + 2)?
Answers
Answer:
The vertex is (2,-16)
Step-by-step explanation:
The given function is [tex]f(x)=(x-6)(x+2)[/tex]
We expand to obtain;
[tex]f(x)=x^2+2x-6x-12[/tex]
[tex]f(x)=x^2-4x-12[/tex]
We complete the squares to obtain;
[tex]f(x)=x^2-4x+(-2)^2-12-(-2)^2[/tex]
[tex]f(x)=x^2-4x+(-2)^2-12-4[/tex]
[tex]f(x)=(x-2)^2-16[/tex]
The vertex form is [tex]f(x)=(x-2)^2-16[/tex]
Comparing this to
[tex]f(x)=a(x-k)^2+k[/tex]
The vertex is (h,k)= (2,-16)
Final answer:
The vertex of the quadratic function f(x) = (x - 6)(x + 2) is found by expressing the function in vertex form. After completing the square, the vertex of the function is determined to be at the point (2, -16).
Explanation:
To find the vertex of the quadratic function f(x) = (x
– 6)(x + 2), we first need to express the function in vertex form, which is y = a(x - h)² + k, where (h, k) is the vertex of the parabola. Multiplying out the factors gives us f(x) = x² - 4x - 12. Completing the square allows us to transform this equation into vertex form.
First, Factor out the leading coefficient (which is 1 in this case, so this step is not needed), and then rewrite the function isolating the terms with x:
f(x) = x² - 4x + ____ - 12 + ____.
We complete the square by finding the value that makes x² - 4x + ____ a perfect square trinomial. This value is (-4/2)² = 4, so we add and subtract 4 inside the function:
f(x) = x² - 4x + 4 - 12 - 4.
Now we have f(x) = (x - 2)² - 16. Thus, the vertex form of the function is y = (x - 2)² - 16, and the vertex of the parabola is at the point (2, -16).
a rectangular computer screen has an area of A square inches. the width of the computer screen is 7 inches. which equation x, the length of the computer screen in inches?
Answers
The question is not perfectly clear, but I assume you're asking something like this:
in a rectangle, the area is given by [tex]A=wl[/tex]
where A is the area, w is the width and l is the length.
So, if we know that the width is 7 and we let x be the length of the rectangle, we have
[tex]A=7x[/tex]
If you need to solve this for x, divide both sides by 7:
[tex]x=\dfrac{A}{7}[/tex]
The length of a rectangular computer screen can be determined by the equation x = A / 7.
To find the length of a rectangular computer screen given its area (A) and width (7 inches), you can use the formula for the area of a rectangle:
Area = Length × Width
Given:
Area = A square inches
Width = 7 inches
We need to find the length, denoted by x. By rearranging the area formula, we get:
x = Area / Width
Substitute the given values:
x = A / 7
Therefore, the length of the computer screen in inches can be found using the equation x = A / 7.
Phillipa earns $10 for each haircut she gives.
Which equation shows the amount Phillipa will earn if she gives h haircuts?
(Use t to represent the total earned, and h to represent the number of haircuts.)
a. t = 10 + h
b. t = 10h
c.t = 10 – h
d. t = 10/h
Answers
Answer is B, Just some mutiplaction
Need help with this
Answers
Answer:
12.25 ounces
Step-by-step explanation:
There are 7 toys, each weighs 1 3/4 ounces.You do 1 3/4 times 7 to get the total weight.
Answer:
The bag would weigh 12 1/4 ounces.
Step-by-step explanation:
I WILL GIVE A FREAKING BRAINLIEST!!!!!!!!!!!
JUST ANSWER THE QUESTION PLEEEEEEAAAAAASSSSSSEEEEEEE!!!!!!!!!!!!
A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = −16t2 + 16t + 32
Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
0.5 < t < 1
0.5 < t < 2
1 < t < 2
1 < t < 1.5
Answers
Answer:
0.5 < t < 2
Step-by-step explanation:
The function reaches its maximum height at ...
t = -b/(2a) = -16/(2(-16)) = 1/2 . . . . . . where a=-16, b=16, c=32 are the coefficients of f(t)
The function can be factored to find the zeros.
f(t) = -16(t^2 -1 -2) = -16(t -2)(t +1)
The factors are zero for ...
x = -1 and x = +2
The ball is falling from its maximum height during the period (0.5, 2), so that is a reasonable domain if you're only interested in the period when the ball is falling.
what is the volume of a oblique cylinder with a height of 18 and a radius of 10
Answers
Answer:
[tex]V=1,800\pi\ units^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=10\ units[/tex]
[tex]h=18\ units[/tex]
substitute
[tex]V=\pi (10)^{2}(18)[/tex]
[tex]V=1,800\pi\ units^{3}[/tex]
What are the values of d, e, and f?
Answers
Answer:
B
Step-by-step explanation:
The given equation y = 2x^2 -12x - 32 can be factored as follows:
y = 2(x^2 - 6x - 16) = 2(x - 8)(x + 2). Then its roots are x = -2 and x = 8.
Since d > e and 8 > -2, we conclude that d = 8 and e = -2.
We need to find the minimum of y = 2x^2 -12x - 32.
We can do this by finding the vertex: b
The equation of the axis of symmetry is x = - ----------
2a
-12
which here is x = - --------- = 3
2(2)
so f = 3.
Answer choice B is correct.
Answer:
Tama sya Ayan yung lumabas na sagot
Can someone help me find the rule?
Answers
I think the rule might be x-9
Distance Between Points
Choose all that correctly give the distance in the coordinate plane between two points.
(−5, 8), (5, 8)
d = 10
(3, 8), (3, −6)
d = 12
(−2, −9), (−2, 4)
d = 13
(8, −7), (1, −7)
d = 9
(−12, −4), (−6, −4)
d = 6
Answers
Answer:
(−5, 8), (5, 8)
d = 10
(−2, −9), (−2, 4)
d = 13
(−12, −4), (−6, −4)
d = 6
Step-by-step explanation:
Answer:
(−5, 8), (5, 8)
d = 10
(−2, −9), (−2, 4)
d = 13
(−12, −4), (−6, −4)
d = 6
Step-by-step explanation:
In the diagram below , tan theta =square root 3. What is the value of m?
Answers
Answer:
[tex]m=\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
we know that
In the diagram
[tex]tan(\theta)=\frac{m}{1/2}=2m[/tex]
[tex]tan(\theta)=\sqrt{3}[/tex]
Equate
[tex]2m=\sqrt{3}[/tex]
[tex]m=\frac{\sqrt{3}}{2}[/tex]
Answer:
B
Step-by-step explanation:
Option B on edge
13+(-29)=
I NEED HELP FAST!!!!!!
Answers
Answer:
-16
Step-by-step explanation:
13+(-29) = 13-29 = -16
Answer: -16
Step-by-step explanation:
Try Subtracting 13 from positive 29. This will help you out!
Which of the points A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10) belong to the graph of direct variation y=− 1/2x?
Answers
Answer:
B
Step-by-step explanation:
To solve this, we can plug in values to see which one works. Since it is a variable equals a variable, the answer is B(0,0)
A square has a perimeter of 36 units. One vertex of the square is located at (3, 5) on the coordinate grid. What could be the x- and y-coordinates of another vertex of the square?
Answers
Answer:
L=4a which means a = 36/4 = 9
The other vertices could be: (12, 5), (3, 14), (12, 14)
Step-by-step explanation:
y=6x+1 for x=5. what is the solution
Answers
Answer: y=31
Step-by-step explanation
If x=5 and y=6x+1, you plug in 5 for x in the equation y=6x+1.
This would cause it to be y=6(5)+1.
Then you multiply 6*5, which equals 30. thatll turn into y=30+1
30+1=31, so y=31
Answer:
Y = 31
Step-by-step explanation:
Replace x with 5
Y = (6*5) + 1
Use PEMDAS
Parentheses
Exponent
Multiplication
Division
Subtraction
Addition
6 * 5 = 30
Y = 30 + 1
30 + 1 = 31
Y = 31
I hope I helped!
Let me know if you need anything else!
~ Zoe
Mine A is 225 feet underground and Mine B has an elevation of -223 feet. Which mine is further underground
Answers
Answer: Mine A
Step-by-step explanation: Mine A is further underground because elevation means height and when it’s shows a number that is negative that means underground. 225 is greater than 223. So Mine A is further underground.
Answer:
Step-by-step explanation:
Mine A, Mine B is not even a mine, its negative, not a hole
Shawna can paint a fence in 8 hours. Kevin can paint the same fence in 4 hours. How long will it take them working together? Show all work.
Answers
Answer: 2.66 hours
Step-by-step explanation:
Shawana can paint a fence in 8hours which means in one hour she can paint 1/8 of a fence.
Kevin can paint the same fence in 4 hours, so in one hour he can paint 1/4 of the fence.
Together in 1 hour they can paint 1/8 + 1/4 = 3/8
Total hours for painting is 3/8 or 2.66 hours
The answer is:
The will paint the same fence at the same time in 2.67 hours.
Why?From the statement we know that Shawna can paint a fence in 8 hours while Kevin can paint the same in 4 hours, and we are asked to calculate how long will it take them to paint the fence working together, so, calculating we have:
For Shawna, we have:
[tex]ShawnaRate=\frac{FencePainted}{TimeToPaint}\\\\ShawnaRate=\frac{1fence}{8hours}[/tex]
For Kevin, we have:
[tex]KevinRate=\frac{FencePainted}{TimeToPaint}\\\\KevinRate=\frac{1fence}{4hours}[/tex]
So, the combined work for both Shawna and Kevin will be:
[tex]CombinedWorkRate=\frac{1fence}{8hours} +\frac{1fence}{4hours}\\\\CombinedWorkRate=\frac{4fence.hours+8fence.hours}{32hours^{2}}\\ \\CombinedWorkRate=\frac{12fence.hours}{32hours^{2}}\\\\CombinedWorkRate=\frac{12fence.hours}{32hours^{2}}=\frac{3fence}{8hours}[/tex]
Now, if the want to paint the same fence at the same time, we can calculate it by the following way:
[tex]\frac{3fence}{8hours}=\frac{1fence}{x(hours)}\\\\x=1fence*\frac{8hours}{3fence}=2.67hours[/tex]
Hence, the will paint the same fence at the same time in 2.67 hours.
Have a nice day!
Where mBD =70° and mCA = 170°
Answers
Answer:
m∠BPD = 120
mBC + mAD = 120°
Step-by-step explanation:
according to intersecting chord theorem: The measure of the angle formed by two chords that intersect inside the circle is [tex]\frac{1}{2}[/tex] the sum of the chords' intercepted arcs.
m∠BPD = [tex]\frac{1}{2}[/tex] (M∠BD + M∠CA)
= [tex]\frac{1}{2}[/tex] (70 + 170)
= [tex]\frac{1}{2}[/tex] (240)
m∠BPD = 120
We know that a circle has a total of 360° around the center of circle. To find the measure of the remaining measure of angle of arcs, subtract them from the whole that is 360°
mBC + mAD = 360 - ( 70 + 170 )
= 360 - 240
mBC + mAD = 120°
At Camper’s Paradise, sales have increased 15%, 20%, and 10% over the past three years; that is, 15% three years ago, 20% two years ago, and 10% one year ago. If sales this year are $1,000,000, how much were sales three years ago? Round each year’s sales to the nearest dollar.
Answers
Answer:
10000000
Step-by-step explanation:
Ms.Willer wanted to donate 27 cans of food to each of 8 food banks.Each of the 23 students donated 9 cans. How many more cans does Ms.Willer need? Explain
Answers
27 multiplied by 8 is 216 so she would need a total of 216 cans. If each of the 23 students brings nine cans (multiple 23 by 9) then she has a total of 207. The difference is 9... so she needs 9 more cans
Approximate one of the solutions to the system of equations graphed below?
A)(-3, -3)
B)(0, 5)
C)(3, 0)
D)(4, -5)
Answers
Answer:
Correct choice is D)(4, -5).
Step-by-step explanation:
We have been given a graph of two functions which intersect at some points. Using that graph we need to approximate one of the solutions to the system of equations graphed below. where given choices are:
A)(-3, -3)
B)(0, 5)
C)(3, 0)
D)(4, -5)
From graph we can see that given graphs of red curve and blue curve intersect at two points (-2,0) and (4,-5).
Hence correct choice is D)(4, -5).
What is the mean of the normal distribution shown below? -1 0 1 2
Answers
Answer:
0.5
Step-by-step explanation:
-1 + 0 + 1 + 2 = 2
2/4 = 0.5
Answer:
well its not 1 cuz i got it wrong
Step-by-step explanation:
let me know in the comments
A deli has five types of meat, two types of cheese,
and three types of bread. How many different
sandwiches, consisting of one type of meat one
type of cheese, and one type of bread, does the deli
serve?
* A25
C) 30
B)--75
D) 10
Answers
Answer:
Step-by-step explanation:
Karen has a cube that has a length of 6 inches. What is the surface area of this cube?
Answers
Answer:
circle
Step-by-step explanation:
Answer:
216 in²
Step-by-step explanation:
A cube has 6 congruent square faces, thus
area of 1 face = 6 × 6 = 36 in² and
area of 6 faces = 6 × 36 = 216 in²
help me pleaseeeeeeeeeeeeee
Answers
Answer:
Final answer is Volume = 60 cubic centimeters.
Step-by-step explanation:
Given that area of the base of the given picture = 10 square centimeters.
Given that height of the given picture = 6 centimeters.
Now we need to find the volume of the given solid.
So we just need to multiply the base area with the height to get the volume.
Volume = (Area of base) ( height)
Volume = (10 square centimeters) ( 6 centimeters)
Volume = 60 cubic centimeters
Hence final answer is Volume = 60 cubic centimeters.
The graph shows which inequality? The vertex is (-1,3)
Answers
Answer: Last Option
[tex]y> | x + 1 | +3[/tex]
Step-by-step explanation:
First we must identify the function shown in the graph.
It is a function of absolute value whose vertex is in the point (-1, 3)
The absolute value parent function is:
[tex]h(x) = | x |[/tex]. And it has its vertex in (0, 0)
The function shown in the graph is the function h(x) displaced 1 unit to the left and 3 units to the top.
Therefore the function shown in the graph [tex]f(x) = h (x + 1) +3[/tex]
[tex]f (x) = | x + 1 | +3[/tex].
Then, the region shaded in the graph are all the values of y that are above the graph of [tex]f (x) = | x + 1 | +3[/tex]
That is, the region is formed by all values where y is greater than [tex]f (x) = | x + 1 | +3[/tex]
Then the inequality is:
[tex]y> | x + 1 | +3[/tex]
Need help I’ll give brain
Answers
Answer:
-17y+16x
Step-by-step explanation:
-3(3y -2x) +2(5x-4y)
Distribute
-9y +6x +10x -8y
Combine like terms
-9y -8y+ 6x+10x
-17y+16x
Answer:
-17y+16x
Step-by-step explanation:
find the geometric mean between 7 and 12
Answers
Answer:9.2
Step-by-step explanation:
How does the combined volume of the small cubes compare to the volume of the large cube
Answers
Answer: A large cube consists of smaller cubes. The more small cubes, the greater the large cube.
Step-by-step explanation:
plz help me brainliest to whoever answers first.
Answers
Answer:A) n=-6
Step-by-step explanation:
Answer:
n = -6
Step-by-step explanation:
3n + 14 = -4
Subtract 14 from both sides
3n = -18
Divide both sides by 3
n = -6
PLZ HURRY IT'S URGENT!!
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle? A. 35 feet B. 13 feet C. 44 feet D. 22 feet
Answers
Answer: C) 44
======================================
Work Shown:
P = 2*(L+W)
P = 2*(13+9) ... plug in given length and width
P = 2*22
P = 44
Answer:
Step-by-step explanation: