2. In the equation 5(x - 3) = 25, what should you do after using the Distributive Property?
Answer:
umm... This how I learned from the chapter simple equation. Hopefully helps
Step-by-step explanation:
5(x - 3) = 25 we have to find the value of 'x'
so transpose 5 x to the other side = (x - 3) = 25 divided by 5 becuz it was multiplication on the other side so it is equal to = (x - 3) = 5
Now we transpose -3 which is equal to = x = 5 + 3 = 8
so, x = 8
hopefully it helps!!!!!!!
Step-by-step explanation:
first use distributive property
like this 5(x-3)=25
5x-15=25
then 5x=25+15
5x=40
5x/5=40/5
x=8
On a coordinate plane, g (f (x)) is a parabola that opens down. It goes through (negative 3.5, 1), has a vertex at (negative 2.5, 5), and goes through (negative 1.5, 0.5). F (g (x)) is a parabola that opens down. It goes through (negative 1.5, 0.5), has a vertex at (0, 5), and goes through (1.5, 0.5). The compositions f(g(x)) and g(f(x)) of functions f and g are shown on the graph. Which statements describe the compositions? Check all that apply. f(g(x)) = g(f(x)) for at least one value of x. The composition of f and g is commutative. f(g(0)) = 5 and g(f(–2.5)) = 5. Both f(g(x)) and g(f(x)) have the same domain. The graphs show that function composition is not commutative.
ANSWER
1,3,4,5
The graphs show that Function composition is not commutative. This is observed from the graph of the compositions f(g(x)) and g(f(x)), which are not symmetrical about the y-axis. In other words, the order of function composition matters.
Based on the given information, the correct statements are:
1. f(g(x)) = g(f(x)) for at least one value of x. This means that there is at least one value of x for which the compositions f(g(x)) and g(f(x)) are equal.
3. f(g(0)) = 5 and g(f(–2.5)) = 5. This indicates that when plugging in specific values, f(g(0)) and g(f(–2.5)) both evaluate to 5.
4. Both f(g(x)) and g(f(x)) have the same domain. The domain of a function refers to the set of all possible input values. In this case, both compositions have the same domain.
5. The graphs show that function composition is not commutative. This is observed from the graph of the compositions f(g(x)) and g(f(x)), which are not symmetrical about the y-axis. In other words, the order of function composition matters.
Therefore, the correct answer is: 1, 3, 4, 5.
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Which of the following is equivalent to25×38?
Answer:
29x38= 950
Step-by-step explanation:
Write the inverse of:
5 (x-2) + 4
Answer:
9x is answer for your question
Step-by-step explanation:
5 (x - 2) + 4
5 x x = 5x5 x 2 = 1010 - 5x = 5x5x + 4 = 9xA penny is dropped from the roof of a building 265 feet above the ground. The height h (in feet) of the penny is a function of the time t (in seconds) and can be represented by the function h(t) = -16t^2 + 256. What does h(4) = 0 mean in regards to the penny?
Answer:
see below
Step-by-step explanation:
h(t) = -16t^2 + 256
h(4) =0
This means at t=4 second the height above the ground is 0
At 4 seconds, the penny will hit the ground
what is the measure of x?
60 degrees
70 degrees
100 degrees
80 degrees
Answer:
x = 60°
Step-by-step explanation:
x + 20 = 80 ( alternate angles )
Subtract 20 from both sides
x = 60°
Point M is located at ( 5 , − 1 ) (5,−1) on the coordinate plane. Point M is reflected over the y-axis to create point ′ M ′ . What ordered pair describes the location of ? M ′ ?
The ordered Pair that describes the location of M' is (-5,-1).
Given that a point M is located at (5,-1) on the coordinate plane and it is reflected over the y-axis to create point M'.
We know that when a point is reflected over the y-axis, the x-coordinate changes its sign. Hence the x-coordinate of M will become negative.
The formula for reflecting a point over y-axis is (x,y) → (-x,y)
Therefore, the coordinates of the new point M' would be (-5,-1).
Hence, the ordered pair that describes the location of M' is (-5,-1).
So, the correct option is D) (-5, -1).
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the midpoint method is commonly used to compute elasticity because itgroup of answer choicesuses the same formula that is used to compute slopegives the same answer regardless of the direction of changeall of the aboveautomatically computes a positive number instead of a negative number
The statement "the midpoint method is commonly used to compute elasticity because it gives the same answer regardless of the direction of change" is the correct option from the given options.
Generally, the midpoint method is used to calculate elasticity since it is not affected by the direction of change. As a result, the coefficient will be constant regardless of the direction of change.To calculate the slope of a straight line, the standard formula is used:
slope=change in y/change in x.
The slope of the line is the same whether we move from left to right or right to left because the numerator and denominator will have opposite signs, but the slope will always be the same.The same holds true for the concept of elasticity. Elasticity measures the responsiveness of one variable to changes in another variable. We use the same formula for the midpoint method:
elasticity=(change in Q/average Q)/(change in P/average P).
To compute elasticity, we must first determine the average values. The midpoint method calculates the elasticity by comparing two points, which is accomplished by taking the average of the two points. The denominator is the average price and quantity, which is the midpoint between the initial and final price and quantity. As a result, the numerator and denominator will have opposite signs, and the same elasticity will be calculated regardless of the direction of change.In contrast, using the standard method to calculate elasticity may yield differing results based on the direction of change. Because of the difference between the starting and ending points, the elasticity will be computed differently when moving from left to right versus right to left.
Thus, we can conclude that the midpoint method is commonly used to compute elasticity because it gives the same answer regardless of the direction of change.
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What are the solutions of the inequality |7x|≥21
[tex]|7x|>21\\7|x|>21\\|x|>3\\x>3 \vee x<-3\\x\in(-\infty,-3)\cup(3,\infty)[/tex]
Using proper notation, which of the following represents the length of the line
segment?
The proper notation for the line segment is option A.
How to name a line segment?A line segment is bounded by two distinct points on a line.
In other words, a line segment is a section of a line bounded by two points or connecting two points.
Therefore, the proper notation that represent the length of the line segment can be represented as follows:
The line length is 4 units and the length is DE.
Hence, the line segment is named as DE = 4. The answer is option A.
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Somebody can help me please
Please please help!!
Answer:
The explicit formula is [tex]a_{n}[/tex] = - 13 - 7n
Step-by-step explanation:
Let us at first find the type of the sequence
∵ The terms are - 20, - 27, - 34, - 41, ............
→ Find the difference between each to consecutive terms
∵ - 27 - (- 20) = - 27 + 20 = - 7
∵ - 34 - (- 27) = - 34 + 27 = - 7
∵ - 41 - (- 34) = - 41 + 34 = - 7
→ There is a constant difference between each two consecutive terms
∴ The sequence is Arithmetic
→ The explicit formula of the nth term of the arithmetic sequence is
[tex]a_{n}=a+(n-1)d[/tex], wherea is the first termd is the constant differencen is the position of the number∵ a = - 20
∵ d = -7
∴ [tex]a_{n}=-20+(n-1)(-7)[/tex]
→ Simplify it
∴ [tex]a_{n}[/tex] = - 20 + (-7)(n) - (-7)(1)
∴ [tex]a_{n}[/tex] = - 20 + (-7n) - (-7)
∴ [tex]a_{n}[/tex] = - 20 - 7n + 7
→ Add the like terms
∴ [tex]a_{n}[/tex] = (- 20 + 7) - 7n
∴ [tex]a_{n}[/tex] = - 13 - 7n
The explicit formula is [tex]a_{n}[/tex] = - 13 - 7n
c=zn+z solve for n please help me
Answer:
n = c/z
Step-by-step explanation:
c = zn + z
c/z = zn/z + z/z (Divide all terms by z)
c/z = n + z/z (Simplify)
c/z = n (Simplify further/answer)
Hope this helps :)
Mark as Brainliest if it was please
6. AABC-ADEF. The scale factor between AABC and ADEF is 1:3. If the area of AABC is x, then find the area of ADEF. A. x B. 3x C. (9x) D. 9x 7. AMNO-ARST AMNO has an area of 750 cm³. ARST has an area of 30 cm². What is the ratio of similitude between AMNO and ARST? A. 5 to 1 B. 25 to 1 C. 50 to 1 D. 250 to 1 146 |
For the given problem, the area of ∆DEF is (1/9) x.
In the problem, we are given that ∆ABC is similar to ∆DEF with a scale factor of 1:3. This means that the corresponding sides of ∆DEF are three times longer than those of ∆ABC. Since the area of a triangle is proportional to the square of its side length, the area of ∆DEF will be proportional to the square of the scale factor, which is (1/3)^2 = 1/9.
Given that the area of ∆ABC is x, the area of ∆DEF can be found by multiplying the area of ∆ABC by the proportionality constant. Therefore, the area of ∆DEF is (1/9) x.
To summarize, the area of ∆DEF is (1/9) x, where x represents the area of ∆ABC. Thus, option A, (1/3) x, is the correct answer.
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the complete question is:
∆ABC is similar to ∆DEF. The scale factor between ∆ABC and ∆DEF is 1:3. If the area of ∆ABC is x, then find the area of ∆DEF. A.(1/3) x
B. 3x
C. (1/2)(9x)
D. 9x
how fast will the radius decreaseing when the toostie roll pop is .75 inches across?
When the Tootsie Roll pop is 0.75 inches across, the radius is half of that, which is 0.375 inches.
The rate at which the radius is decreasing is what we are looking for.
To calculate this, we need to use the chain rule for differentiation.
The volume of the lollipop is given by the formula: V = (4/3)πr³ where V is the volume and r is the radius.
To find the rate of change of volume with respect to time, we differentiate the above expression with respect to time t. So we get: dV/dt = 4πr²(dr/dt)
Now we know that the rate of change of volume is constant and is equal to -20 cubic inches per minute.
We also know that the radius is decreasing at the rate of dr/dt inches per minute.
The radius is given to us as 0.375 inches.
Hence, we can substitute all these values in the above expression to find the value of dr/dt.
Therefore, we get:-20 = 4π(0.375)²(dr/dt)dr/dt
= -20/(4π(0.375)²)
= -1.13 inches per minute
Hence, the radius is decreasing at a rate of 1.13 inches per minute when the Tootsie Roll pop is 0.75 inches across.
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Charles Darwin predicted that tetrapods evolved from _____________. What observation leads to that hypothesis?
What evidence would you expect to find to support that hypothesis? What age rocks would you
look in and why?
Charles Darwin predicted that tetrapods evolved from lobe-finned fishes. The observation that led to this hypothesis is the similarity of the limb structure of tetrapods to lobe-finned fish fins. He observed that the fin structure of the fish contained a similar bone pattern as the limb structure of tetrapods.
To support the hypothesis, the evidence that we can expect to find are fossils that have the transitional structures between the two organisms. We can also expect to find evidence of how the fins in fishes changed over time and how they evolved into the limb structures that we see in tetrapods. This could be in the form of fossils with intermediate stages between the two groups, showing how the structure of the fins changed over time and how that might have influenced the development of tetrapod limbs.
To find such fossils, we would look for rocks from the Devonian period, which lasted from around 419 to 359 million years ago. This is because this is the time period when tetrapods are believed to have evolved from lobe-finned fishes. It was during this period that the early tetrapod species such as Ichthyostega and Acanthostega evolved. As such, fossils of these early tetrapods and the fish they evolved from, as well as any intermediate fossils, would be most likely found in rocks from this time period.
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2. Describe the steps you would use to solve the equation
3(4y - 7) = 6.
Answer:
y = 9/4
Step-by-step explanation:
Step 1: Write equation
3(4y - 7) = 6
Step 2: Solve for y
Distribute 3: 12y - 21 = 6Add 21 to both sides: 12y = 27Divide both sides by 12: y = 27/12Simplify: y = 9/4Step 3: Check
Plug in y to verify it's a solution.
3(4(9/4) - 7) = 6
3(9 - 7) = 6
3(2) = 6
6 = 6
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. |7.3|6.8|10.7|7.3|7.7|7.4|7.7
11.6 8.9 9.7 7.9 7.9 7.2 6.3
6.5 11.3 8.7 6.8 6.3 9.7 7.0
9.0 11.8 7.0 7.8 5.2 8.1 A). Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion.
B). Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%.
C). Calculate a point estimate of the population standard deviation?
D). Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa.
E). Calculate a point estimate of the population coefficient of variation.
A. Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion.
The mean value of strength for the conceptual population of all beams manufactured in this fashion is 7.92 MPa. This is calculated by adding up the strength values for all 20 beams and dividing by 20.
B. Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%.
The strength value that separates the weakest 50% of all such beams from the strongest 50% is 7.5 MPa. This is calculated by finding the median of the strength values.
C. Calculate a point estimate of the population standard deviation
The population standard deviation is 1.43 MPa. This is calculated by using the following formula:
σ = SQRT[(Σ(x - μ)^2) / N]
where:
σ is the population standard deviation
x is the individual strength value
μ is the mean strength value
N is the number of beams
D. Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa.
The proportion of all such beams whose flexural strength exceeds 10 MPa is 0.45. This is calculated by counting the number of beams with a strength value greater than 10 MPa and dividing by the total number of beams.
E. Calculate a point estimate of the population coefficient of variation.
The population coefficient of variation is 0.18. This is calculated by dividing the population standard deviation by the mean strength value.
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If you multiply a pair of complex conjugates, what number set will their product be a member of?
Answer:
always a real number
Answer:
Real number
Step-by-step explanation:
Your bank account has a balance of -$12.00. You withdraw (took out money in)$35. What is your new balance?
Group of answer choices
-$23.00
$47.00
-$47.00
$23.00
Answer:
= -$47.00
Step-by-step explanation:
Because -12-35=-47
What is the value of x2+3x-7 when x = -4?
Answer:
[tex] \huge{ \fbox{ \sf{ - 3}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \text{Given}} : [/tex]
[tex] \longrightarrow{ \sf{ \: x = - 4}}[/tex]
[tex] \underline{ \text{To \: find}} : \: \sf{Value \: of \: the \: given \: expression}[/tex]
[tex] \sf{ {x}^{2} + 3x - 7}[/tex]
[tex] \text{Step \: 1}[/tex] : Plug the value of x
[tex] \sf{ { \mapsto ( - 4)}^{2} + 3 * \: ( - 4) \: - 7}[/tex]
[tex] \text{Step \: 2}[/tex] : Evaluate the power
[tex] \underline{ \text{Remember!}}[/tex] : Multiplying a negative integer by a negative integers gives a positive integer.
[tex] \mapsto{ \sf{16 + 3 \: * \: ( - 4) - 7}}[/tex]
[tex] \text{Step \: 3}[/tex] : Multiply : 3 by -4
[tex] \underline{ \sf{Remember!}}[/tex] : Multiplying positive integer by any negative integer gives a negative integer.
[tex] \mapsto{ \sf{16 + ( - 12) - 7}}[/tex]
[tex] \underline{ \text{Remember!}}[/tex] : ( + ) * ( - ) = ( - )
[tex] \mapsto{ \sf{16 - 12 - 7}}[/tex]
[tex] \text{Step \: 4}[/tex] : Subtract 12 from 16
[tex] \mapsto{ \sf{4 - 7}}[/tex]
[tex] \text{Step \: 5}[/tex] : Subtract 7 from 4
[tex] \underline{ \text{Remember!}}[/tex] : The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \mapsto{ \boxed{ \sf{ - 3}}}[/tex]
Remember to follow PEMDAS
Parentheses , Exponents , Multiplication , Division , Addition , Subtraction
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Emily draws figures P, Q, R, and S. The center of dilation is point Z. Which figures are similar to figure Q? Explain your reasoning
WELP PLZ HELP ME
Answer:
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
The figures P, R, and S are similar to figure Q because the similar figures have the same shape but not the same size.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
Emily draws figures P, Q, R, and S. The center of dilation is point Z.
It is claimed that two figures are comparable if they share the same shape. The ratios of the lengths of the corresponding sides are equal when the two figures are comparable.
The similar figures P, R, and S are comparable to figure Q since they share the same shape but differ in size.
Thus, the figures P, R, and S are similar to figure Q because the similar figures have the same shape but not the same size.
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Clients are served in a process with two resources. The first
resource has a capacity of 1.2 clients per minute. The capacity of
the second resource is 1.3 clients per minute. The first resource
has 1
The process involves serving clients using two resources, with the first resource having a capacity of 1.2 clients per minute and the second resource having a capacity of 1.3 clients per minute. Additionally, there is a limitation that only one client can be served by the first resource at a time.
Based on the given information, we can infer that the first resource is a bottleneck in the process because it has a lower capacity compared to the second resource. The capacity of 1.2 clients per minute means that on average, the first resource can serve 1.2 clients in a minute.
Since only one client can be served by the first resource at a time, this means that there will be instances where the first resource is idle while waiting for the second resource to become available. The second resource, with a capacity of 1.3 clients per minute, can potentially serve clients faster than the first resource.
To optimize the process and maximize efficiency, it may be necessary to analyze the workload distribution and consider ways to balance the workload between the two resources. This could involve allocating tasks strategically or identifying ways to improve the efficiency of the bottleneck resource.
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A pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds what is the velocity
Answer:
96 ft/s toward home plate
Step-by-step explanation:
because I Know this because I actually teached a class about this
The velocity of the ball is 96.031 ft/second if a pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
A pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.
The distance baseball traveled = 60.5 ft
Time it takes = 0.63 seconds
As we know, the distance-time relationship:
u = d/t
Here, u is the velocity
d is the distance
t is the time
u = 60.5/0.63
u = 96.031 ft/second
Thus, the velocity of the ball is 96.031 ft/second if a pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.
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Someone help me with this, The form for this problem says I’m wrong about the Domain
{(-3,-2),(-1,0),(0,1),(3,4,),(6,7)}
Domain: {(-3,-1,0,3,6,)}
I’m sure I’m correct but I wanna make sure
You are right about the domain.
What is the degree measure of z?.
Answer:
z = 68
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the opposite internal angles
z = 39+29
z = 68
Would you rather sell a batch of cookies for $.50 each with an expense to make them of eight dollars or the entire batch of 30 cookies for15 with an expense to make them of six dollars
help:/
Answer:
.50 each
Step-by-step explanation:
Reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order.
Answer:
Step-by-step explanation:
Correct order to prove BD bisects ∠ABC is,
Statements Reasons
1). AB ≅ BC 1). Given
D is the midpoint of AC
2). AD ≅ DC 2). A midpoint divides a segment into two
congruent segments.
3). BD ≅ BD 3). Reflexive property
4). ΔABD ≅ ΔCBD 4). SSS property
5). ∠ABD ≅ ∠CBD 5). Corresponding parts of congruent
triangles are congruent (CPCTC)
Write a function that has roots of x=-4,-1, 2, 2, 2, 2, and 6.
Please I need help
9514 1404 393
Answer:
f(x) = (x +4)(x +1)(x -6)(x -2)^4
Step-by-step explanation:
Each root p will contribute a factor of (x -p) to the function. Repeated factors can be written using an exponent.
f(x) = (x +4)(x +1)(x -6)(x -2)^4
4x-3=12x+2 Equations with variables on both sides.
Answer:
4x - 3 = 12x + 2
So,
-5 = 8x
x = -5/8 :)
