A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?
(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)
Answer:
Option C.
Step-by-step explanation:
The given table is
x f(x)
-4 0
-2 2
0 8
2 2
4 0
6 -2
A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.
From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).
Therefore, the correct option is C.
Answer:
it is c (-4,0), (4,0)
Step-by-step explanation:
Deandre bought 4 CDs that were each the same price. Including sales tax, he paid a total of $69.20. Of that total,was $3.60 tax. What was the price of each CD before tax?
Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)
Answer:
work is shown and pictured
Answer:
(4x + 5)(4x + 5)
Step-by-step explanation:
Took test.
Want a more in-depth explanation? Try visiting the Math Nation site.
5. A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is approximately 3052.08 cubic centimeters. What is the length of the radius of the
Earth model?
Solve each problem. Use 3.14 for p.
Answer:
the length of the radius of the Earth Model = 9cm
Step-by-step explanation:
The volume of the model of Earth is approximately 3052.08 cubic centimeters.
It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.
The formula for the Volume of a Sphere = 4/3 πr³
Where r = radius or the length of the radius
The Volume of the Earth Model = 3052.08 cm³
We are told to use π = 3.14
To find the length of the radius, we have derive the formula
V = 4/3 × π × r³
V = 4πr³/3
Cross multiply
3V = 4πr³
Divide both side by 4π
3V/4π = r³
We find the cube root of both sides =
∛(3V/4π) = r
Substituting our given values in the question, we have:
∛(3 × 3052.08/ 4 ×3.14) = r
r = ∛9156.24÷12.56
r = ∛729
r = 9cm
Therefore, the length of the radius of the Earth Model = 9cm
The perimeter of a rectangular painting is 340 centimeters. If the width of the painting is 77 centimeters, what is its length?
Answer:
98 centimeters
Step-by-step explanation:
perimeter of rectangle=2(l+b)
width=breadth=77centimetrs
perimeter=340 centimeters
340=2(l+77)
340=2l+144
340-144=2l
196=2l
l=98 centimetrs
What are the solutions to the system of equations?
x² + y² = 5
y= 2x
Answer:
(x1, Y1) = ('1, '2) (x2, Y2) = (1,2)
Step-by-step explanation:
Which equation is represented by the graph below?
Answer:
hope this helps! pls mark brainliest
Step-by-step explanation:
y= -1/2x + 2
y=mx+b
b is the y intercept which is where the line passes through the point.
m is slope to find slope go to a point (ex- (0,4) and go to the next and to do that is up 1 over 2 which is 1/2 and the line is going left so it's negative
Which graph represents a proportional relationship?
Answer: D) The bottom right image
Step-by-step explanation: The linear graph is the one that represents a proportional relationship, the graph goes through the origin. You want it to go through the origin.
I hope this helps!
What is the product?
pls help dis is timed :(
Answer: I think is c
Step-by-step explanation:
the image of the circle x2+y2-2x+3y=8 after being reflected by the line y=2x-3 is----------------.pls anyone
Answer:
The image of the circle is 9·x² + 9·y² - 42·x + 33·y = 22
Step-by-step explanation:
We convert the equation to the form (x - h)² + (y - k)² = r²
Where:
(h, k) = Coordinates of the center of the circle
We therefore have;
x² + y² - 2·x + 3·y = 8 which gives;
x² - 2·x + 1 - 1 + y² + 3·y + (3/2)² - (3/2)² = 8
(x - 1)² + (y + 3/2)² - 1 - (3/2)² = 8
(x - 1)² + (y + 3/2)² = 8 + 1 + (3/2)² = 45/4
Therefore, the center = (1, -3/2) and the radius = √5 × 3/2
The line joining the centers of the actual (1, -3/2) and reflected circle (h, k) is bisected by the line of reflection, therefore the midpoint of the line is on the line of reflection with coordinates;
Midpoint between (1, -3/2) and (h, k) = [tex]\left (\dfrac{{h - 1}}{2}, \, \dfrac{k - 3/2}{2} \right )[/tex]
Which gives;
y = 2·x - 3 being equivalent to [tex]\dfrac{k - 3/2}{2} = 2\times\dfrac{{h - 1}}{2} - 3[/tex]
Which gives;
4·h -2·k -13 = 0.......(1)
Similarly the slope of the reflecting line is perpendicular to the line joining the centers of the actual and reflected circles
Therefore;
The slope of the line, y = 2·x - 3 = 2, hence we have;
[tex]\dfrac{\left ( \dfrac{k - 3/2}{2} \right ) + 3/2}{\left (\dfrac{{h - 1}}{2}-1 \right )} = \dfrac{1}{2}[/tex]
Which gives;
2·h -4·k -12 = 0.......(2)
Multiplying equation (2) and subtracting from equation (1) gives
4·h -2·k -13 - 2×(2·h -4·k -12) = 0
6·k + 11 = 0
k = -11/6
From which we have;
2·h -4×(-11/6) -12 = 0
Hence;
h = 7/3
Therefore, the center of the reflected circle = (7/3, -11/6)
The equation of the reflected circle is therefore;
(x - 7/3)² + (y + 11/6)² = 45/4
Which gives;
9·x² + 9·y² - 42·x + 33·y - 22 = 0
or x² + y² - 42/9·x + 33/9·y = 22/9.
2 Points
The table shows the number of weeks of vacation employees receive each
year, based on the number of years they have been employed. What does
(15) = 5 mean in terms of the problem?
Years of
Service
Weeks of
Vacation
1
2.
1
2
5
10
15
20
30
3
4
5
6
8
O A. There are 5 workers who have 15 years of service each
OB. A worker took 5 weeks of vacation in 15 years.
O C. A worker with 15 years of service gets 5 weeks of vacation each
year
OD. A worker with 5 years of service gets 15 weeks of vacation each
year
SUBMIT
The answer to your question is 3
Andre has a bowl of chocolates where 70% of them are milk chocolate and the remaining 30% are
white chocolate. The bowl contains a total of 20 chocolates. If he pulls two chocolates randomly from
the bowl without replacement, which of the following is closest to the probability that they are both
white chocolate?
1) 15.4%
2) 12.0%
3) 9.0%
4) 7.9%
Answer:
4) 7.9%
Step-by-step explanation:
Given:
% of milk chocolate = 70%
% of white chocolate = 30%
Total number of chocolate = 20
Number of milk chocolate:
[tex] \frac{70}{100} * 20 = 14 [/tex]
Number of white chocolate:
[tex] \frac{30}{100} * 20 = 6 [/tex]
From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.
2 white chocolates are picked at random without replacement.
Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]
Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]
To find probability that both of them are white chocolates, multiply probability of the first and second.
0.3 * 0.2632 = 0.07896
≈ 0.079
Convert to percentage by multiplying by 100.
0.079 * 100 = 7.9%
The probability that they are both
white chocolate is 7.9%
What is the area of this triangle?
units^2
Answer:6
Step-by-step explanation:
The base is 3 and the height is 4
3*4/2 = 6
Answer:
6 units^2
Step-by-step explanation:
The base (segment DE) is 3 units.
The height is 4 units. (From point F going horizontally until it intersects segment DE)
Formula for area of a triangle: (1/2)BH
(1/2)(3)(4) = (1/2)12 = 6
Television sets used to come with an aspect ratio of 4:3 (width is 4 units and height is 3 units). Since broadcast channels in the United States are now broadcasting in 16:9, most newer sets come with a 16:9 aspect ratio. Your brother believes that since you can rewrite the ratio 16:9 as 42:32, that means a 4:3 television set is similar to a 42:32 television set. Is this true? What argument would you use to clarify your or your brother’s thinking? What are the dimensions of a television set that would be similar to the 4:3 set?
Answer:
4×3=12
Step-by-step explanation:
all i did was multiple 4 times 3 and i came up with my answer
Answer:
78 percent wider than higher
Step-by-step explanation:
simplify the expression -2 + 15
Answer: 13
Step-by-step explanation: 15-2=13
Which of the following is equivalent to RootIndex 5 StartRoot 13 cubed EndRoot? 132 1315 13 Superscript five-thirds 13 Superscript three-fifths
The root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].
What is root index?If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex] where 'n' is root index, 'a' is base and '√' is radical".
According to the question,
5 start root 13 cubed end root can be written in root index form.
If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex] where 'n' is root index, 'a' is base and '√' is radical".
= [tex]13^\frac{3}{5}[/tex].
Hence, the root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].
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Answer: D
Step-by-step explanation:
you're welcome
I will give the brainliest answer
Answer:
82units²
Step-by-step explanation:
=2(3*7)+2(3*2)+2(7*2)
=82 units²
Answer:
[tex]82 {units}^{2} [/tex]
Step-by-step
explanation
explanation is attached to the picture
hope this helps
brainliest appreciated
good luck! have a nice day!
The initial point of a⃗ is (−2,4), and its terminal point is (−5,−2). What is the value of ‖a⃗ ‖? Give your answer as a simplified radical.
Answer:
[tex]3\sqrt{5}.[/tex]
Step-by-step explanation:
It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as
[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]
The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is
[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]
The magnitude of [tex]\vec{a}[/tex] is
[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]
[tex]|\vec{a}|=\sqrt{9+36}[/tex]
[tex]|\vec{a}|=\sqrt{45}[/tex]
[tex]|\vec{a}|=3\sqrt{5}[/tex]
Modulus of magnitude is
[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]
So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]
Find the equation of the line through point (-4,-4) and perpendicular to 2x+3y=3
In a plane, line b is parallel to line f, line f Is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
hif
bih
bllg
GIlh
What is 12-12 if it’s not 0?
Answer:
it will still be zero
Step-by-step explanation:
12-12 = 0
The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15
Answer:
7/15
Step-by-step explanation:
probability of one being a a 3-pointer is
1 2 3 4 5 6 7
7/15
Probability that at least one of the next 5 baskets made by the team is a 3- pointer is 7 / 15.
What is probability?" Probability is a branch of mathematics which represents ratio of number of favourable outcomes to the total number of outcome of any event."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Random number represents 15 trials
Therefore,
Total number of outcomes = 15
At least one of the 5 team baskets made by the team is a 3- pointer
Sample space of favourable outcomes
= { 81357, 21761, 51537, 62135, 16687, 41662, 27135}
Number of favourable outcome = 7
Required probability = 7 / 15
Hence, Option (D) is the correct answer.
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Help asap plzz
-3x + 7 = -8
Answer:
x=5
Step-by-step explanation:
-3x+7=-8
Bring 7 to the other side, it becomes negative
-3x=-8-7
Signs are same on rhs so u add
-3x = -8+-7= -15
Bring -3 to the other side n divide
therefore,
x=-15/-3
= +5 (two negatives become positive)
Hope it helps!
Answer:
x = 5
Step-by-step explanation:
→Subtract 7 from both sides:
-3x + 7 = -8
-3x = -15
→Divide both sides by -3:
x = 5
Write the set of real numbers x less than 6 in set builder notation
Answer:
{x ∈ R: x<6}
Step-by-step explanation:
Given
x is a real numberx is less than 6Required
Write the set using set builder notation
The very first thing to do is to list out the range of x, using inequalities;
x is less than 6 implies that -infiniti < x < 6
The next step is to translate this to set builder. This is done as follows
x ∈ R - > This means that x is a real number
x < 6 -> where x is less than 6.
Bringing these two together, it gives:
{x ∈ R: x<6}
Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation
Jori has 7 boxes of books, with each box holding the same number of books. He has 126 books in all. How many books are there per box?
Answer:
18 books per box
Step-by-step explanation:
This is a division problem, in order to find out how many books per box divide the amount of books by the amount of boxes. 126 divided by 7 is 18.
Answer:
[tex]18[/tex] books per box.
Step-by-step explanation:
To figure out out many books are in each box, divide the total amount by how many boxes there are.
[tex]126/7=18[/tex]
There are 18 books in each box.
:)
Which algebraic expression is a difference with two terms?
Answer:
B)
Step-by-step explanation:
6x - 9
Here, 6x is a term and -9 is another term
Find the slope of the line through (2, -3) and (-4, 3).
Answer:
Slope= -1x OR -x
Step-by-step explanation:
rise over run: y2 - y1 / x2 - x1
= 3 - (-3) / -4 - 2
= 6 / -6
= -1
Answer:
Y=-x-3 slope =-1
Step-by-step explanation:
To first find the gradient u have to subtract the y intercepts and the x intercepts
3--3/-4-2
=6/-6=-1
Y-3/x--4=-1
Y-3=-1(x+4)
Y-3=-x+-4
Y=-x-4+3
Y=-x-3
Slope=-1
Which figure is represented by the net shown below?
Answer:
WAY BELOW...
Step-by-step explanation:
So first look at the base. It is an octagon.
Look at the answers now. You can eliminate the ones that don't have triangles, and you have two pyramids. One has a hexagon base and one has a octagon base.
That's the answer.
Answer:
Hey!
Your answer is BELOW!!!
Step-by-step explanation:
HOPE THIS HELPS!!
A = {1, 2, 5, 7} B = {3, 4, 6, 7} C = {0, 5, 8, 9} Find A∩B. A) {1,2,3,4,5,6,7} B) {1} C) {2,3,4,5} D) {7}
Answer:
The answer is option D.
A n B is { 7 }
Hope this helps.
PLEASE HELP I HAVE A TIMER
In the diagram, the measure of angle 1 is (3x)°, and the measure of angle 2 is (12x)°
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 4?
36°
45°
135°
144°
Answer:
144 degrees.
Step-by-step explanation:
Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.
After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.
First, before we get to the angle of 4, we have to find the value of x:
1) angle 1 + angle 2 = 180
3x + 12x = 180
2) solve the above equation for x
15x = 180
3) divide both sides by 15 for x
x= 12 degrees
We know that angle 4 is the same as angle 2, which is 12x degrees.
So, now that we know what x is, 12 x 12 degrees = 144 degrees.
Hope this helped : )
The measure of angle ∠4 is 144°
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
The measure of angle 1 = ( 3x )°
The measure of angle 2 = ( 12x )°
Angle 1 and Angle 2 are on the straight lines
So , the sum of the measures of angles = 180°
On simplifying the equation , we get
3x + 12x = 180
15x = 180
Divide by 15 on both sides of the equation , we get
x = 12
Substituting the value of x in the equation , we get
The measure of angle 2 = measure of angle 4 ( corresponding angles )
So , the measure of angle 4 = ( 12x )°
And , the measure of angle ∠4 = 144°
Hence , the angle ∠4 = 144°
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