This graph shows the solution to the inequalities y>3/2x-2 and y<3/2x-10. Does the system of inequalities have solutions? If so, which region contains the solution?
A) there is no solution
B) there is a solution, and it’s shown by region A.
C) there is a solution, and it’s shown by region C
D) there is a solution, and it’s shown by region B.
Answers
the region A satisfies only the inequality-------> y>3/2x-2
the region C satisfies only the inequality-------> y<3/2x-10
the region B
does not satisfy any of the two inequalities
there is no region that satisfies both inequalities
therefore
the answer is the option
A) there is no solution
Answer:
there is no solution
Step-by-step explanation:
Related Questions
Logarithmic Functions Question, Many Points
I got the first part of this question correct, I believe.
I was supposed to find the graph with a base of 3 (attached), but now I need to justify my answers, which I don't understand. Here are the choices:
The graph of f(x)= log_3 x+c must intersect with the line y= c+1 when x= 3.
The graph of f(x)= log_3 x+c must intersect with the line y= c when x= 3.
The graph of f(x)= log_3 x+c must intersect with the line x= c when y= 3.
The graph of f(x)= log_3 x+c must intersect with the line x= c+1 when y= 3.
Answers
The graph of [tex]f(x)=\log_{3}(x)+c[/tex] must intersect with the line y= c+1 when x= 3.
_____
See the attachment for plots of base-3 logarithms. Note that when [tex]c=1.4[/tex], the value of f(3) is 1 more than the value of [tex]c[/tex].
Identify the coefficient of each term of the polynomial.
-2x+9
what is The coefficient of the first term is ....
what isThe coefficient of the second term is
Answers
The coefficient is a known number, written as a digit, whereas the variable is an unknown number, written as a letter to signify an unknown number.
So, the coefficient in the first term (or part of the equation) is -2. The coefficient in the second term is 9, and the variable in this equation is x.
Final answer:
The coefficient of the first term '-2x' in the polynomial is -2, and the coefficient of the second term '9' is 9.
Explanation:
In the polynomial -2x+9, each term has a coefficient. A coefficient is a number that multiplies the variable. The variable in the first term is x, and it is being multiplied by -2. Therefore, the coefficient of the first term is -2. The second term is a constant and does not have a variable associated with it. However, by convention, we can think of this term as 9 times x0, since any number raised to the zero power is 1. The coefficient of this constant term is 9.
What is the area of the rhombus shown below? A. 110.5 square units B. 129.2 square units C. 221 square units D. 15 square units
Answers
the answer is A. 110.5
The area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.
What is a rhombus?A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.
We have a rhombus shown in the picture with dimensions:
As we know,
The area of the rhombus is given by:
A =pq/2
p and q are the lengths of the diagonal of a rhombus.
p = MK = 13 units
q = JL = 17 units
Plug the values in the formula:
A = (13×17)/2
A = 221/2
A = 110.5 square units
Thus, the area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.
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what is the volume of the cube shown below? 2 1/4
Answers
The volume of the given cube is 11.4 cubic units.
What is volume of cube?The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.
The edge of the given cube is [tex]2\frac{1}{4}[/tex] =2.25 units.
We know that, the volume of a cube is a³, where a is an edge.
Here, volume = (2.25)³
= 11.390625
≈ 11.4 cubic units
Therefore, the volume of the given cube is 11.4 cubic units.
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The equation of the line of best fit of a scatter plot is y = 8x − 1. What is the slope of the equation?
Answers
If we look at y = mx + b and y = 8x -b we can see the similarities
y = mx + b
y = 8x - 1
m = slope = 8
b = y-intercept = -1
Slope = 8
Answer:
8
Step-by-step explanation:
I just took the test.
after lily's graduation party, 1/2 of of the cake was left. she shared the remaining cake equally with her sister Kayla and her brother Logan. what fraction of the original cake did each of them get?
show all your work please
Answers
1/2 = 50%
50% / 2 = 25%
25%= 1/4
The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 meters. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Answers
Answer:
10pi
Step-by-step explanation:
The answer is 10pi
Henry cut a piece of yarn that was 11/6 into two pieces. List to different pairs of fractions that could show the lengths , in feet , of the two pieces.
Answers
You earn $56 for washing 8 cars. How much do you earn for washing 5 cars?
Answers
First find out how much you earn washing one car. Divide 56 with 8
56/8 = 7
You earn $7 for washing 1 car.
Now find out how much you earn washing 5 cars.
7/1 (being $7 per 1 car)
5/5 (amount of cars washed)
7/1 x 5/5 = 35/5
For 5 cars, you earn $35.
$35 is your answer
hope this helps
$56 = 8 cars
$x = 5 cars
Now we can do cross multiply
8 * x = 5 * 56
8x = 280
Now we can divide both sides by 8
8x/8 = 280/8
x = 35
Thus,
You earned $35 for washing 5 cars!
The fraction 7/8 is a multiple of what unit fraction?
Answers
[tex]\dfrac{7}{8}=7\times\dfrac{1}{8}[/tex]
The unit fraction is 1/8.
) 20% of computer chips from a certain manufacturer are defective. if 100 computer chips are purchased, what is the approximate probability that at least 20 of them are defective
Answers
What form of a quadratic function would be graphed having the vertex at the same point as the y-intercept
Answers
9514 1404 393
Answer:
a form with no horizontal translation of the parent function
Step-by-step explanation:
If the vertex is the y-intercept, then it has not moved horizontally from its position in the parent function. The form of the quadratic is one without any horizontal translation.
A quadratic function with its vertex and y-intercept at the same point would be in the form f(x) = ax². The coefficients b and c must be zero for the vertex to be at the origin (0,0), and by varying a, we can achieve a vertical stretch or shrink without altering the y-intercept.
The student's question pertains to the graph of a quadratic function with specific conditions on its vertex. If a quadratic function has its vertex at the same point as its y-intercept, then the vertex is located at the origin (0,0), because the y-intercept is the point where the graph crosses the y-axis, and at the vertex, the value of y is at its maximum or minimum depending on the direction of the parabola.
The standard form of a quadratic function is f(x) = ax² + bx + c. For the function to have its vertex at the origin, both b and c would need to be zero, making the function f(x) = ax². This represents a parabola that opens upwards if a is positive, or downwards if a is negative.
To maintain the y-intercept, we must ensure that the transformation applied to the graph, such as a vertical or horizontal shrink, does not alter the location of the vertex. A horizontal shrink is achieved by making a larger absolute value while ensuring that it remains positive or negative in accordance with the original direction of the parabola.
99 POINTS!!!: if i have a circle with a radius of 6 in and it is cut into 8 equal slices (like a pie) and the coordinates are (8, 5) then
what is the central angle,
what is the measure of the arc that 2 pieces together would intercept,
and the equation that represents
and circumference?
PLEASE HURRY!!!
Answers
coordinates of the center (8,5)
radius=6 in
is cut into 8 equal slices-----> 360°/8-----> 45° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-8)²+(y-5)²=6²
b) circumference=2*pi*r-----> 2*pi*6---> 37.68 in
if 360° (full circle) has a length of---------> 37.68 in
90° (2 pieces together)---------> x
x=90*37.68/360-----> x=9.42 in
the measure of the arc that 2 pieces together would intercept is 9.42 in
c) The central angle of one slice is 45 degrees
(2x3z2)3
------------------
x3y4z2 * (x-4z3)
Answers
[tex]\dfrac{(2x^{3}z^{2})^{3}}{x^{3}y^{4}z^2x^{-4}z^{3}}=2^{3}x^{(3\cdot3-3-(-4))}y^{-4}z^{(2\cdot3-2-3)}\\\\=\dfrac{8x^{10}z}{y^{4}}[/tex]
6(z+2)-2(2z+5)=18 show step by step
Answers
Note:
Parenthesis, Exponents (and roots), Multiplication, Division, Addition, Subtraction)
Because you are trying to isolate the z (variable), you cannot do parenthesis. Instead, distribute 6 to z and 2, and -2 to 2z and 5
6(z + 2) = 6z + 12
-2(2z + 5) = -4z - 10
6z + 12 - 4z - 10 = 18
Next, combine like terms. Combine terms with common variables together, as well as constants.
6z - 4z = 2z
12 - 10 = 2
2z + 2 = 18
Next, isolate the z, do the opposite of PEMDAS. Note that there is an equal sign. What you do to one side, you have to do to the other.
2z + 2 = 18
subtract 2 from both sdies
2z + 2 (-2) = 18 (-2)
2z = 18 - 2
2z = 16
isolate the z, divide 2 from both sides
2z = 16
2z/2 = 16/2
z = 16/2
z = 8
8 is your answer for z
hope this helps
Which description best describes the three-dimensional object that is formed when the segment is rotated about the axis as shown?
an oblique cylinder
a cone with an open base
a triangular prism
a hollow pyramid
Answers
Second option is correct. A cone with open base is formed when the segment is rotated about the axis as shown in figure.
What is solid revolution?A solid revolution is a three dimensional figure obtained by rotating a two-dimensional figure or (curve) around a straight line(called the axis) that lies in the same plane.
According to the question
If we see in the given figure, there is a triangle about a vertical line. As the triangle is revolved about a line, the vertices A and C remain stationary. While the vertex B which follows the path of circle. As the triangle rotates, AB creates the outline of cone.
Hence, Option second is correct i.e. a cone with an open base.
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Answer: A cone with an open base.
Step-by-step explanation:
The correct answer is a cone with an open base. When this segment is rotated around the axis as shown, the three-dimensional object formed will be a cone with no base. If you imagine mirroring the segment shown, you will create a triangle with no base. Next, if you imagine spinning this triangle around, you will be left with a cone. Since the segment does not connect to the axis at the bottom, the resulting cone will have an open base.
A visual example of a cone is attached below.
A rectangle floor is 24 feet long and 9 feet wide. what is it’s area of the floor in square yards?
Answers
The rectangle is 24 ft (length) by 9 ft (width):
Area = 24 * 9 => Area = 216 sq. yds.
Final answer:
The area of a rectangle floor that is 24 feet long and 9 feet wide is 216 square feet, which is equivalent to 24 square yards when converted using the fact that there are 9 square feet in a square yard.
Explanation:
The student is asking about the area of a rectangle when the dimensions are given in feet and the answer is required in square yards. To convert the area from square feet to square yards, we need to know the conversion factor between these two units of measurement.
It's established that 1 square yard is equal to 9 square feet. Thus, the area of the floor in square feet is calculated by multiplying the length by the width:
Area in square feet = Length in feet × Width in feet
= 24 ft × 9 ft
= 216 square feet
Next, we convert the area into square yards by dividing by 9:
Area in square yards = Area in square feet ÷ Conversion factor
= 216 sq ft ÷ 9 (sq ft/sq yd)
= 24 square yards
Therefore, the area of the floor in square yards is 24 square yards.
what is a verbal expression?
Answers
A mathematical verbal expression is a translation into words of an algebraic expression that can consist of different operations, numbers and varibles ur welcome.
For example, the following is a verbal phrase: "John went to the store and bought five apples. Each apple cost $1.25. How much did John spend before tax?" To translate it to a verbal model, the problem solver represents the problem in simplified words that represent the cost of the apple times the number of apples bought. To translate it further to a mathematical phrase, the problem solver puts numbers in the problem: "$1.25 times 5."
3. Jared has two ropes. Each rope is 9 inches long. How many inches of rope does he have in all?
Answers
The length of one rope = 9 in
Number of ropes Jared have = 2.
The total inches of rope does Jared have will be calculated as under -
We can add the length of two ropes as = 9 in + 9 in = 18 in
Or we can do it by other method as well.
The other method is by multiplying -
The total inches of rope does Jared have = The length of one rope × Number of ropes Jared have
The total inches of rope does Jared have = 9 in × 2 ropes = 18 in
A surveyor wants to measure the distance from the north end (point b ) to the south end (point c) of a body of water. He creates a right triangle by using point A which is 17.5 m due west of point c and at a 30 degree angle with point b. Find the distance across the lake
Answers
The distance across the body of water from point b (north end) to point c (south end) can be found using trigonometry and the sine ratio. Given that the angle is 30° and the distance from point A to point b is 17.5 m, the distance across the water (from point b to point c) is 8.75m.
Explanation:The problem at hand is a trigonometry problem which can be solved by using the sine ratio. In trigonometry, the sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, the angle is given as 30°, and we are asked to find the distance from point b (north end) to point c (south end), which is the side opposite to the 30° angle. Therefore, we can set up the following equation using the sine ratio: sin(30°) = opposite/hypotenuse.
In this instance, the hypotenuse is the distance from point A to point b, which is given as 17.5 m. Thus, the equation becomes sin(30°) = distance from point b to point c / 17.5 m. Solving this for the distance from point b to point c would mean multiplying both sides by 17.5 m, giving us: distance from point b to point c = sin(30°) * 17.5 m.
Upon calculation, we find that sin(30°) equals 0.5, so therefore the distance from point b to point c, which is the distance across the body of water is 0.5 * 17.5m = 8.75 m.
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Michelle invests $1000 at a bank offering 3% compounded quarterly. Write an equation to model the growth of the investment.
A) A = 1000(1.03)4t
B) A = 1000(1+.03
4
)t
C) A = 1000(1+.03
4
)4t
D) A = 1000((1.03)
4
)4t
Answers
is what I got
Answer:
C. [tex]1000( \frac{1+.03}{4})^{4t}[/tex]
Step-by-step explanation:
Based on the family the graph below belongs to, which equation could represent the graph
Answers
Answer: Second option y=log(2x)+3
Solution:
Based on the family of graphs shown in the attached file, the equation could represent the graph is y=log(2x)+3
This graph is the graph of the funtion y=log(x) stretched horizontally by a factor of 2 and translated 3 units upward.
Which is the equation of an ellipse centered at the origin with foci on x-axis, x-intercepts +7, -7 and y-intercepts +2,
-2?
Answers
foci on x-axis-------> is a ellipse with horizontal major axis
the equation is
(x²/a²)+(y²/b²)=1
major axis is the x-axis with length 2a
2a=14--------> a=7
minor axis is the y-axis with length 2b
2b=4-----> b=2
the equation is
(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1
the answer is
(x²/49)+(y²/4)=1
see the attached figure
Answer:
It's B on edge.
Step-by-step explanation:
At 0°C, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of the gas increases by 225. Write an equation that represents the volume of the gas in terms of the temperature.
Answers
At temperature [tex]T=1C[/tex], the volume of the gas is (22+225) L.
This means that if we increase the temperature by [tex]k[/tex] degrees:
[tex]T=k^{\circ}C[/tex]
the volume of the gas is
[tex]V=22 + 225 k [L][/tex] (1)
Since T=k, we can rewrite eq.(1) as
[tex]V= 22 + 225 T [L][/tex]
which gives the expression for the volume of the gas in liters, as a function of the temperature T in Celsius.
Answer:
V=2/25T+22
Step-by-step explanation:
PLEASE HELP -Given the graph of rectangle QUAD and its reflection.
Use the coordinates of the images' vertices, Q and Q' to algebraically find the line of reflection. In your final answer, include all of your work.
Answers
Q" is located at (6,2)
they bot h have the same Y value (2) so we know it was only a reflection across the X axis
we need to find out where on the X axis it was reflected.
the distance between -5 and 6 = 11 units
11/2 = 5.5
the reflection line was 5.5 units to the right of the original Q
so the reflection line would be X = 0.5
Answer:
Q = (-5, 2)
Q' = (6, 2)
(-5 + 6/2 , 2 + 2/2) = (1/2, 2)
Vertical line through the mid point would be x = 1/2
Question 21 [t-interval] a random sample of size 18 is drawn from a population that is normally distributed. the sample mean is 58.5, and the sample standard deviation is found to be 11.5. determine a 95% confidence interval about population mean.
a. [52.78,64.22]
b. [53.78,63.22]
c. [53.18,63.81]
d. [54.04,62.96]
Answers
Answer:
Option a. [52.78,64.22]
Step-by-step explanation:
We are given that a random sample of size 18 is drawn from a population that is normally distributed.
Sample mean is 58.5, and the sample standard deviation is found to be 11.5 i.e., X bar = 58.5 and s = 11.5
The pivotal quantity for calculating 95% confidence interval is;
[tex]\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
So, 95% confidence interval about population mean is given by;
P(-2.110 < [tex]t_1_7[/tex] < 2.110) = 0.95
P(-2.110 < [tex]\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.110) = 0.95
P(-2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] < [tex]{Xbar - \mu}[/tex] < 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] ) = 0.95
P(X bar - 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] < [tex]\mu[/tex] < X bar + 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] ) = 0.95
95% confidence interval about [tex]\mu[/tex] = [ X bar - 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] , X bar + 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] ]
= [ 58.5 - 2.110 * [tex]\frac{11.5}{\sqrt{18} }[/tex] , 58.5 + 2.110 * [tex]\frac{11.5}{\sqrt{18} }[/tex] ]
= [ 52.78 , 64.22 ]
Therefore, 95% confidence interval about population mean is [52.78 , 64.22].
In qam with 2 possible amplitudes, how many possible states
Answers
8.
Howmet Corporation needs $200,000 in 5 years.
Find the required quarterly payment into a sinking fund if funds are invested in an account earning 10% per year compounded quarterly.
$38,050.00
$6,716.00
$32,760.00
$7,830.00
Answers
Fv = 200,000
r = 0.1
n = 5
k = 4 (quarterly)
Pmt=200,000÷(((1+0.10÷4)^(4×5)−1)÷(0.10÷4))=7,829.43
Find f. f ''(x) = −2 + 24x − 12x2, f(0) = 4, f '(0) = 18
Answers
Answer:
f(x) = -x⁴ + 4x³ - x² + 18x + 4
Step-by-step explanation:
If we take the integral of f''(x) with respect to x, we get that f'(x)= -2x + 12x² - 4x³ + C.
Substituting in f'(0)=18, we get C=18.So, f'(x) = -2x + 12x² - 4x³ + 18.If we take the integral of f'(x) with respect to x, we get that f(x) = -x² + 4x³ - x⁴ + 18x + C.
Substituting in f(0) = 4, we get C=4.So, f(x) = -x⁴ + 4x³ - x² + 18x + 4To find the function f, we need to integrate its second derivative, then use the given initial conditions to solve for the constant of integration and find the exact function f(x).
Explanation:To find the function f, we need to integrate its second derivative. We integrate each term of the second derivative separately, using the power rule for integration. So, f''(x) = -2 + 24x - 12[tex]x^2[/tex] becomes f'(x) = -2x + 12[tex]x^2[/tex] - 4[tex]x^3[/tex] + C, where C is the constant of integration. Then, we integrate f'(x) to find f(x), again using the power rule for integration. Finally, we use the given initial conditions, f(0) = 4 and f'(0) = 18, to solve for the constant of integration and find the exact function f(x).
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hey can you please help me posted picture of question
Answers
Explanation:
Total outcomes of rolling a die = 6 (as there are six sides)Total outcomes of tossing a coin = 2 (there are two sides)
Total number of possible outcomes of both = 6*2=12 (Option A).
It represents the number of leaves required on the tree diagram.