The table that shows a function that is decreasing only over the interval (–1, ∞) is circled on the image given at the end of the answer.
How to determine the behavior of the function?The behavior of a function is classified as either increasing, decreasing or constant, as follows:
Increasing: as x increases the function increases, that is, the second column of the table shows in the bottom row greater values than in the row we are taking as parameter.Decreasing: as x increases the function decreases, that is, the second column of the table shows in the bottom row lesser values than in the row we are taking as parameter.Constant: as x increases the function remains constant, that is, the second column of the table shows in the bottom row equal values than in the row we are taking as parameter.In this problem, we want a function that is decreasing only over the interval (–1, ∞), hence:
It is not decreasing for x < -1.It is decreasing for all values of x such that x > -1.More can be learned about decreasing functions at https://brainly.com/question/1503051
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what is the slope of line perpendicular to the line whose equation is y=-2/3x-5
Answer: 3/2
Step-by-step explanation:
Let's start with what we know. For a slope to be perpendicular it is the - reciprocal. So:
-2/3's negative reciprocal is
3/2
Simplify (z6z−5)−2.
−z
−z2
1 over z
1 over z raised to the second power
The given expression as a statement is given by -
1 over z raised to the second power.
What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is the following complex function -
f(z) = (z⁶z⁻⁵)⁻²
We have -
(z⁶z⁻⁵)⁻²
Solving further, we get -
(z⁶⁻⁵)⁻²
z⁻²
1/z²
As a statement, we can write -
1 over z raised to the second power.
Therefore, the given expression is equivalent to -
1 over z raised to the second power.
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Triangle bcd was dilated using the rule d subscript q, one-half. what are the values of the unknown measures? m∠c'b'd' = ° cq = b'd' =
The values of unknown measures are m∠C'B'D' = 95°, CQ = 6 and B'D' = 11
We are given that triangle BCD was dilated using the rule d subscript q, one-half.
Since the sum of the measure of all the angles in a triangle is 180°.
m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'
m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC (by dilation)
m∠C'B'D = 180° - 34° - 51° = 95°
[tex]\frac{B C}{B^{\prime} C^{\prime}}=\frac{B D}{B^{\prime} D^{\prime}}=\frac{36}{18}=2[/tex]
[tex]B^{\prime} D^{\prime}=\frac{1}{2} B D[/tex]
= 1/2(22)
=11
The dilated triangles are similar to each other.
Hence, we can say that ΔC'P'Q ∼ ΔCPQ,
[tex]\frac{C^{\prime} Q}{C Q}=\frac{C^{\prime} D^{\prime}}{C D}=\frac{D^{\prime} Q}{P Q}[/tex]
C Q= C'Q x [tex]\frac{C D}{C^{\prime} D^{\prime}}[/tex]
=C'Q x [tex]\frac{B C}{B^{\prime} C^{\prime}}[/tex]
=2 C'Q
=2(3)
=6
Thus, m∠C'B'D' = 95°, CQ = 6 and B'D' = 11.
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Answer: 95, 6, 11
Step-by-step explanation:
Amelia i buliding 3 quare garden bed that are all the ame ize. He arrange them ide by ide to eparate certain plant. Amelia want to know the total area of the garden
The total area of 3 square garden beds = [tex]3s^{2}[/tex] square units
What exactly is a square shape?A square is a closed two-dimensional shape with four equal sides and four vertices. Its opposing sides are perpendicular to each other. A square can also be thought of as a rectangle with equal length and width. Many things resemble the square shape when you look around.
What is the formula for the area of a square?A square's area is equal to its side. As a result, the area of a square equals Side2 square units. and the perimeter of a square is equal to four side units.
Given:
She want to bulid = 3 square garden beds
All are for same size,
Therefore total area of three square garden beds = 3 × area of one square garden bed
[tex]area of 3 garden beds = 3 ( s^{2} )\\area of 3 garden beds = 3 s^{2}[/tex]
Therefore, total area of 3 square garden beds = [tex]3s^{2}[/tex] square units
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You earn $48 for washing 6 cars. How much do you earn for washing 2 cars?
Answer:
the function y=mx+b all you have to do is fill in what you need. The equation would be y=$12x+$48 the x is how many additional cars there are. The y would be the answer.
Step-by-step explanation:
Answer: $18
Step-by-step explanation:
Which scatter plot best illustrates a strong positive correlation?
Answer:
A
Step-by-step explanation:
You want to select the scatter plot with strong positive correlation.
CorrelationCorrelation is a measure of how well one variable's values track the values of another variable. Perfectly correlated variables will have a scatter plot that is a straight line. The sign of the correlation (positive, negative) matches the sign of the slope of the line.
The less correlated values are, the more their scatter plot looks like a random placement of points. When there is no correlation at all, knowing the value of one of the variables gives no clue about the value of the other one.
Computed values of correlation range from -1 to +1.
Strong positive correlationWhen the plot begins to resemble a line with positive slope, the variables plotted in the scatter plot have strong positive correlation. That is shown in the attached scatter plot.
Quadrilateral GHIJ is similar to quadrilateral
KLMN. Find the measure of side MN. Round
your answer to the nearest tenth if necessary.
Based on the definition of similar quadrilaterals, the measure of side MN is: 14.1 units.
What are Similar Quadrilaterals?If two quadrilaterals are similar to each other, then the measure of their corresponding sides will have a ratio that is equal. This means they will have proportional side measures.
Since we are told that quadrilaterals GHIJ and KLMN are similar to each other, then their corresponding sides will have measures that are proportional to each other.
Therefore:
IJ/MN = GJ/KN
IJ = 35
MN = ?
GJ = 52
KN = 21
Substitute:
35/MN = 52/21
Cross multiply:
MN(52) = (35)(21)
MN(52) = 735
MN = 735/52
MN = 14.1 units
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What are the three rules for using the infinitive?
Answer: Rule 1: Gerunds can be used as a subject of a sentence. Rule 2: Both gerunds and infinitives can be used as objects of a sentence. Rule 3: Infinitives should be used after many adjectives.
Step-by-step explanation:
PQR is a right angled triangle.
PR= 8cm.
QR= 12cm.
Find the size of the angle marked x. Give your answer correct to 1 decimal place.
For the given right triangle the value of the angle x is 33.7°.
What is right triangle?
A right triangle, also known as a right-angled triangle, an orthogonal triangle, or formerly a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angle.
Given:
PQR is a right angled triangle.
PR= 8cm.
QR= 12cm.
We have to find the value of angle x.
As the triangle is right angle triangle so we use the trigonometric ratio to find the value of x.
[tex]tanx = \frac{Opposite Side}{Adjacent Side} \\tanx = \frac{8}{12} \\tan x = 0.6667\\x = tan^-^1(0.6667)\\x = 33.69^o\\x = 33.7^o[/tex]
Hence, for the given right triangle the value of the angle x is 33.7°.
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A kangaroo hops 9 kilometers in 3 minutes. At this rate: How far does the kangaroo to travel in 1 minute?
Answer:
3 km
Step-by-step explanation:
Dividing by 3, the kangaroo travels 3 km in 1 min.
Researchers surveyed 1,000 randomly selected adults in the u.s. a statistically significant, strong positive correlation was found between income level and the number of containers of recycling they typically collect in a week. please select the best interpretation of this result.a. We can not conclude whether earning more money causes more recycling among U.S. adults because this type of study does not allow us to infer causation. b. This sample is too small to draw any conclusions about the relationship between income level and amount of recycling for adults in the U.S. c. This result indicates that earning more money causes people to recycle more than people who earn less money.
The best interpretation of this result is a. We can not conclude whether earning more money causes more recycling among U.S. adults because this type of study does not allow us to infer causation.
Causation cannot be deduced from the study's design (CORRELATION ≠ CAUSATION). The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number.
However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.
There is a causal relationship between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event. This concept is also known as cause and effect.
The adage "correlation does not imply causation" relates to the difficulty of establishing a cause-and-effect connection between two variables or events based merely on the observation of their association or correlation.
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Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full. Its width is 3\frac{1}{2}3
in and its height is 77 in. Find the length of the popcorn box in inches. Round your answer to the nearest tenth if necessary.
The popcorn box in a shape of a rectangular prism will thus have a length of 0.3 inches in inches.
What is a rectangular prism?A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism.
A rectangular prism also refers to a cuboid.
A cuboid and a rectangular prism have the same cross-section.
Quadrilaterals make up its faces.
So, a popcorn box's volume is modeled by Gabriel as a right rectangular prism, and a full box can store 74 cubic inches of popcorn.
Its height is 77 in, and its breadth is 3 1/2 in.
Then, the prism's width will be:
W = 3 + 1/2
W = 7/2
Consequently, the popcorn box's length in inches will be:
V = LWH
74 = L * 7/2 * 77
L = 0.2745 = 0.3
Therefore, the popcorn box in a shape of a rectangular prism will thus have a length of 0.3 inches in inches.
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What is the sum of all interior angles of a 33-sided regular polygon?
The Sum of Interior Angle of a polygon with 33 Sides is 5580°
What are Interior Angles?
The Interior Angle is the smaller of the two angles created when two polygon sides meet/ any of the four angles generated when a third line intersects a pair of parallel lines.
Solution:
The Sum of Interior Angle is given by the formula = (n - 2)*180°
here n is the number of sides
To Find:
Sum of Interior Angle where total sides are 33
Sum of Interior Angle = (33 - 2)*180°
Sum of Interior Angle = 31*180° = 5580°
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When using a 6 sided cube, what is the probability of rolling a 3, then not rolling a 3, and then rolling an even number?
Answer:
5/72
Step-by-step explanation:
You want the probability of rolling a 6-sided die 3 times with the sequential outcomes 3, not 3, even number.
Sequential outcomesThe probability of any given sequence of outcomes is the product of the probabilities of the outcomes individually. (We assume independence.)
P(3) = 1/6
P(not 3) = 1 -P(3) = 5/6
P(even) = 1/2
Then the probability of the given sequence is ...
P(3, 3', even) = (1/6)(5/6)(1/2) = 5/72
The probability of the given sequence is 5/72.
__
Additional comment
The outcomes are independent if the probability of occurrence does not depend on any previous outcome.
If the length of a rectangle in terms of x is 5x2 + 4x - 4 centimeters and its
width is 3x² + 2x + 6 centimeters, what is the perimeter of the rectangle?
Answer:
Step-by-step explanation:
1222235567899.99978..88694..6.4.4.6.4.4.5
Help with this substitution problem
3x-3y=-12
y=2x-9
Show y=2x-7 on a graph
Answer:
Step-by-step explanation:
you could do is buy 2x on the x-axis
please help, answers only!!
Answer:
The x-intercept is 40, which represents the number of monthly payments needed to repay the loan
Step-by-step explanation:
We see that the x-intercept is at x=40, and the x-axis is number of monthly payments.
Which is a nonlinear function?
A function y = x² which is nonlinear function. the correct option is A.
What is linear function?In mathematics, linear refer to a proportional behaviour that can be modelled with a line, the functions that model this behaviour are called linear functions, and their graphs are lines.
Now, linear expression refers to an expression which has variables with an exponent equal to 1,
Linear functions are in the form of y = mx + c and have a constant slope.
But Nonlinear functions have a slope that varies between points.
Also, the linear functions are polynomials with highest exponent equal to 1 and all others are non linear.
Here, the correct option is A. y = x²
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Write at least 6 equivalent expressions to the expression below.
12x - 6
Answer:
Here are six equivalent expressions to 12x - 6:
6(2x - 1)
3(4x - 2)
2(6x - 3)
1(12x - 6)
4(3x - 1)
(12x - 6) + 0
These expressions are all equivalent to 12x - 6 because they all have the same value, regardless of the value of x. This is because the terms on the right side of the equation cancel out, leaving only the constant value on the left side. For example, in the first expression, 6(2x - 1), the 2x and -1 terms cancel out, leaving only 6. This is the same for the other expressions listed above.
Step-by-step explanation:
Answer:
12x - 612x + (-6)12(x) + (-1)(6)12(x - 0.5)12x + (-1)(-6)12(x - 1/2)Step-by-step explanation:
Here are six equivalent expressions to the given expression:
12x - 612x + (-6)12(x) + (-1)(6)12(x - 0.5)12x + (-1)(-6)12(x - 1/2)Note that in each of the above expressions, the value of 12x - 6 is preserved, but the terms and the order of operations may be different. For example, in the second expression, the subtraction has been expressed as addition with a negative number, and in the fourth and sixth expressions, the subtraction has been expressed as multiplication with a fraction.
I need help fast! :)
Using the formula of slope of a line, the slope in the graph is -2/3
Slope of a LineThe slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by the formula
m = y₂ - y₁ / x₂ - x₁
Taking two coordinate from the line;
A = (0, 4)B = (6, 0)Substituting the values into the formula below
m = y₂ - y₁ / x₂ - x₁
m = 0 - 4 / 6 - 0
m = -4 / 6
m = -2/3
The slope is -2/3
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Where’s the center of dilation located?
Answer: Dilations centered at the origin
Step-by-step explanation:
You can dilate figures on the coordinate plane. The origin is often used as the center of dilation. If you are dilating a figure centered at the origin, you can multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image.
A function model a linear relationhip between the balance in Leah' bank account and the number of month ince he began her new job. Currently, Leah' bank balance i $750, and it ha been increaing at a rate of $100 per month ince he began her new job 6 month ago. What i the initial value of the bank balance function, in dollar?
Using the linear rate data provided and using simple unitary method, The answer is $150.
What do you mean by linear relationship?A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).
What do you mean by data?In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.
Total balance after 6 months = $750
Rate = $100 per month
Time = 6 months
Balance deposited at the rate in 6 months = 100 * 6
=$600
Initial Balance = $750 - $600
=$150
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The function y = 6.25x describes the amount of
money y Peter gets paid after x hours. Graph the
function. Use the graph to estimate how much
money Peter gets paid after 7 hours.
The money that Peter gets paid after 7 hours is 43.75
What are Functions?
A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).
Solution:
The question given is quite straight forward.
Sinec, we are given with the function y = 6.25x
where x is the hours and y is the pay
To find the pay for 7 hrs
we need to replace x by 7
y = 6.25 * 7
y = 43.75 units
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Can Someone Solve This By Using The Formula a^2+b^2=c^2
Step-by-step explanation:
Use Pythagorean Theorem,
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
C is the hypotenuse
a and b are the legs which is 20 and 48
[tex] {20}^{2} + {48}^{2} = {c}^{2} [/tex]
[tex]400 + 2304 = {c}^{2} [/tex]
[tex]2704 = {c}^{2} [/tex]
[tex]c = 52[/tex]
(01.03 LC)
Will give 5 points to each answer and a Brainliest! Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, how old is Marco? Choose the answer below that is a viable solution to this problem. (1 point)
O 10
O 8
O 5
O 1
Answer:
10
Step-by-step explanation:
do the reserve to 15
add 5 to get 20 and divide by 2 to get 10
Answer: O 10
Step-by-step explanation:
Yolanda = 2 * Marco - 5 Yolanda = 15 So 15 = 2 * Marco - 5 Add 5 to both sides 20 = 2* Marco
Determine the number of residuals that are positive, negative, and zero. PLEASE EXPLAIN THE ANSWER AS WELL THANK YOU!!
The following equation is an example of a literal equation.
2(z+a)=4b
A. Solve the given equation for the variable a. In your final answer, include all of your work.
B. In two or more complete sentences, explain the specific process that you followed in solving for a.
Answer:
a = 2b - z
Step-by-step explanation:
2(z+a) = 4b
z + a = 4b/2
z + a = 2b
a = 2b - z
What is the simplified form of the following expression? assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0.
The simplified form would be 338√x -72√2y.
If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers.
The simplest form is also referred to as "lowest words."
the given expression is :
2(4√16x) - 2(4√2y) + 34√81x - 4(4√32y)
⇒ 8(√16x) - 8(√2y) + 34√81x - 16√32y
⇒8×4√x - 8√2y + 34×9√x - 16√16×2y [∵ √16 = 4 and √81 = 9]
⇒32√x - 8√2y + 306√x - 16×4√2y
⇒(32√x + 306√x) - 8√2y - 16×4√2y
⇒338√x -72√2y
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hat formula is used to gain information about an individual data value when the variable is normally distributed?
The formula used to gain information about an individual data value when the variable is normally distributes is, Z = (X - μ)/σ.
What is standard normal distribution?
The standard normal distribution, also known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1.
Any normal distribution's values can be transformed into z scores to standardize it.
Z scores indicate the number of standard deviations away from the mean that each value represents.
The Z score is determined by the number of standard deviations above or below the mean for the standard normal distribution.
When a variable (let's say X) is normally distributed, then to get insights from its distribution, we transform it (i.e. X) into standardized variable (which constitutes "Standard" Normal Distribution).
Standardized variable, Z, is given by (X - μ)/σ
Hence, option B is correct answer. Z = (X - μ)/σ.
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Complete question:
Complete question is attached below.