find the values of a,b,c, and d so that h(x)=a|bx+c|+d is a translation 7 units up and 1 unit right, followed by a reflection in the y-axis of the graph of g(x)=1/3|x+3|-4
Answers
The translation shift the coordinates of the expression in the right side. And there is no change in the reflection based equation because of the absolute symbol.
What is translation and reflection?
In mathematics, the translation shift the coordinates either on the horizontal axis or on the vertical axis. It compress the expression also. Similarly, in reflection, the expression get reflected on the coordinate axis either on the upper side or downward side.
According to the question, the given expression for the translation as well as for the reflection are as follows:
h(x)=a |b(x) + c| + d
g(x)=1/3 | x + 3| - 4
And the given condition state that the translation is for 7 units and reflection is on the y-axis. Translation shift the expression and reflection reflects the expression.
Translation expression: h(x+7)=a |b(x+7) + c| + d
Reflection expression: g(-x)=1/3 | -x + 3| - 4 = 1/3 | x + 3| - 4
Therefore, the translation shift the coordinates of the expression in the right side. And there is no change in the reflection based equation because of the absolute symbol.
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Related Questions
The scatter plot shows the systolic blood pressure of people of several different ages. The equation represents the linear model for this data. Y = x + 95 according to the model, how much does the systolic blood pressure increase for each year of age? responses 1 mm hg per year 1 mm hg per year 5 mm hg per year 5 mm hg per year 15 mm hg per year 15 mm hg per year 95 mm hg per year 95 mm hg per year 110 mm hg per year.
Answers
The equation Y = x + 95 shows that for each year increase in age, the systolic blood pressure increases by 15 mm hg.
1. Plot the data points on a scatter plot.
2. Draw a line of best fit that passes through as many data points as possible.
3. Calculate the slope of the line of best fit using the formula
m = (y2-y1) / (x2-x1).
4. For example, if the line of best fit passes through two points with coordinates (x1, y1) and (x2, y2), calculate the slope as:
m = (y2-y1) / (x2-x1).
5. The slope represents the increase in systolic blood pressure for each year of age.
The equation Y = x + 95 is a linear model that represents the relationship between age and systolic blood pressure. To calculate the increase in systolic blood pressure for each year of age, we can plot the data points on a scatter plot and draw a line of best fit that passes through as many data points as possible. The slope of this line of best fit is then used to calculate the increase in systolic blood pressure for each year of age. For example, if the line of best fit passes through two points with coordinates (x1, y1) and (x2, y2),
the slope can be calculated as
m = (y2-y1) / (x2-x1).
This slope represents the increase in systolic blood pressure for each year of age.
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18 Write y = 2x*+8x+10 in vertex form.y = 2(x+8)* +10y = (x+2)+10y = 2(x + 2) + 2y = 4(x +4+2
Answers
Given data:
The given equation is y = 2x^2+8x+10 .
The givenn equation can be written in vertex form as,
\(\begin{gathered} y=2x^2+8x+10 \\ =2(x^2+4x)+10 \\ =2(x^2+4x+4-4)+10 \\ =2(x+2)^2+2 \end{gathered}\)Thus, the given equation can be written as, 2(x+2)^2 +2, so third option is correct.
The volume of a cube is 216mm3.What is the length of its side?
Answers
216 mm3 is the volume.
Given the volume, you can take the cube root of the volume to find the side.
The cube root of 216 is 6.
Answer: 6
there are 50 students in a class and 30 of these students passed their social studies test. what percentage of these students passed their test.
Answers
Answer: 60 %
Step-by-step explanation:
Percentage of students passed the test = (number of students who passed the test / total number of students) x 100
= 30 / 50 x 100 % = 60 %
A veterinarian is vaccinating cattle. One bottle of vaccine is 8 ounces. How many 2 3 3 2 -ounce doses can the veterinarian get out of one bottle of vaccine? How many ounces of vaccine will be left in the bottle after she draws the maximum number of doses out?
Answers
Complete Question
A veterinarian is vaccinating cattle. One bottle of vaccine is 8 ounces.
a) How many 2/3 -ounce doses can the veterinarian get out of one bottle of vaccine?
b) How many ounces of vaccine will be left in the bottle after she draws the maximum number of doses out?
Answer:
a) 5 1/3 ounces or 5.3333333333 ounces
b) 2 2/3 ounces or 2.67 ounces
Step-by-step explanation:
a) How many 2/3 -ounce doses can the veterinarian get out of one bottle of vaccine?
This is calculated as:
2/3 ounces of 1 bottle
2/3 ounces of 8 ounces
= 16/3 ounces
= 5 1/3 ounces or 5.3333333333 ounces
b) How many ounces of vaccine will be left in the bottle after she draws the maximum number of doses out?
This is calculated as:
8 ounces - 5 1/3
= 2 2/3 or 2.67 ounces
18 + 2x < 12 5x + 2 >= -18
Answers
we are asked to solve a system of inequalities that reads:
18 + 2 x < 12
5 x + 2 >= - 18
so we solve for x in each one:
18 + 2 x < 12
subtract 18 from boths sides:
2 x < 12 - 18
2 x < - 6
divide by 2 both sides:
x < - 3
5 x + 2 >= - 18
subtract 2 from both sides:
5 x >= - 20
divide both sides by 5:
x >= -4
so this tells us that we want x values larger than or equal to -4 and x values smaller than -3.
So, please allow me to plot these two sections and see if there is an intersection of both sets:. The graphing can take a little time, so please be patient.
Notice that we have highlighted in green the section of the number line with x-values to the RIGHT of -4 (and also including the "-4" point with a "solid dot".
On the other extreme of this segment we see an "empty dot" at the point -3 on the number line. In this case we are NOT including the value "-3" as per the inequality that asks for x numbers strictly smaller than -3 (so to the left of "-3" NOT including "-3" (represented by the empty dot.
So the graph of the compounded inequality is given above, and the mathematical way to express it is:
- 4 <= x < - 3
in a circle of radius 3.4 cm, what is the length of the arc opposite a central angle that measures 46 degrees?
Answers
The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.
What is circle?
The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.
in a circle of radius 3.4 cm
central angle that measures 46 degrees
length of arc = (46/360) * 2π*3.4
=2.72cm
Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm
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Find the slope of the line through the given points.
( -2,-8) and (2,4)
Answers
Answer:
m = 3
Step-by-step explanation:
Use the slope formula to find the slope m .
Answer:
3
Step-by-step explanation:
hope this helps!
Plzzz help ASAP find the value for x
Answers
Answer:
x = 50
Step-by-step explanation:
The base angles of an isosceles triangle are the same
The unmarked angle is also x
The sum of the angles of a triangle is 180
x+x+ 80 = 180
2x+80 =180
Subtract 80 from each side
2x+80-80 = 180-80
2x = 100
Divide by 2
2x/2 = 100/2
x = 50
Cole has already taken 7 quizzes during past quarters, and he expects to have 1 quiz during each week of this quarter. Write an equation that shows the relationship between the number of weeks x and the total number of quizzes y.
Answers
Answer:
y = x + 7
Step-by-step explanation:
x = number of weeks
y = the total number of quizzes y.
Cole has already taken 7 quizzes = + 7
he expects to have 1 quiz during each week of this quarter = 1x
y = 1x + 7
y = x + 7
The selling price for a classic painting is $16,000. What was the painting's original price if it is currentlyselling for $500 more than two times its original price?AnswerKeypadKeyboard Shortcuts$
Answers
To answer this question, we will set and solve a linear equation.
Let x be the original price of the painting, with the given information we can set the following equation:
\(2x+500=16000.\)Subtracting 500 from the above equation we get:
\(2x=16000-500=15500.\)Dividing by 2 we get:
\(\begin{gathered} \frac{2x}{2}=\frac{15500}{2}, \\ x=7750. \end{gathered}\)Therefore, the original price of the painting was
\(7750\)dollars.
Answer: $7750.
When testing the safety of cars using crash tests, a sample of one or two cars is used because ______. Multiple Choice sampling is more accurate cars are destroyed it is quicker the population is very large
Answers
When testing the safety of cars using crash tests, a sample of one or two cars is used because multiple cars are destroyed.
Crash tests involve subjecting cars to controlled collisions in order to assess their safety performance and measure the effects of impact forces on the vehicle and its occupants.
These tests often involve high-speed impacts and result in significant damage to the vehicles being tested.
Due to the destructive nature of crash tests, it is not feasible or practical to test a large number of cars from the population.
Instead, a sample of one or two cars is used to represent the larger population of vehicles.
These samples are carefully selected to be representative of the various models, makes, and designs of cars in circulation.
By selecting a diverse sample, researchers can gather valuable data on the safety performance of different types of cars without the need to test each individual car.
Using a sample also allows for cost and time efficiency.
Crash tests can be expensive and time-consuming, involving extensive preparations, equipment, and safety measures.
Testing a single or a small number of cars reduces the resources required while still providing valuable insights into safety performance.
Therefore, the primary reason for using a sample of one or two cars in crash tests is that multiple cars are destroyed during the testing process.
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PLEASE HELP ASAP!!!!!
A committee of eight people randomly chooses 3 people in order to be president, vice president and Treasurer in how many ways can the officers be chosen A 363 B 412 C 336 D 396
Please select the best answer from the choices provided A B C or D (Edge)
Answers
Answer:
C. 336 ways
Step-by-step explanation:
Plz mark as brainliest! :D
Lucas and Mitchell were asked to add the numbers 3.54 and 12.09.
Lucas stated that he completed the addition problem by using the following method:
First, I broke the numbers apart. I broke 3.54 into 3.00+0.50+0.04 and 12.09 into 12.00+0.09.
Then, I combined 0.04 and 0.09 to get 0.13.
Next, I combined 0.13 and 0.50 to get 0.63.
Then, I combined 3.00+12.00 to get 15.00.
Finally, I added the decimal to get 15.63.
Mitchell stated that he completed the addition problem by using the following method:
First, I added the whole numbers to get 3.00+12.00=15.00.
Next, I added the numbers in the tenths place, 0.50+0.00=0.50.
Then, I added the numbers in the hundredths place, 0.04+0.09=0.013.
I then added 0.50 and 0.013 to get 0.513.
Lastly, I added the decimal to the whole number to get 15.513.
Determine if Lucas and/or Mitchell had a flaw in their method. If they did, correct the flaw(s) so that both the methods used are correct. PLZ ANSWER THE QUESTION!
Answers
Answer:
0.22
Step-by-step explanation:
Xin orders 5 identical loaves of bread from the website of a bakery. The total shipping
weight is 9 pounds, as modeled on the balance below. What is the weight, in pounds, of each
loaf of bread??
answers:
1. 5/9 pounds
2. 1 4/5 pounds
3. 4/5 pounds
4. 1 5/9 pounds
hurry & answer pls!
Answers
Answer:
4/5 pounds is your answer
Step-by-step explanation:
You need to simply divide 9 to 5. You will get 1.8, but when you turn it into a fraction you get 4/5 lbs
Hope this helps! :D
in its standardized form, the normal distribution has a mean of 0 and a standard deviation of 1 has a mean of 1 and a standard deviation of 1 has an area equal to .5 cannot be used to approximate discrete probability distributions
Answers
Option-A is correct that is has a mean of 0 and standard deviation of 1 is the standardized form of the normal distribution.
Given that,
We have to find what is the standardized form of the normal distribution.
We know that,
What is normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
Therefore, Option-A is correct that is has a mean of 0 and standard deviation of 1 is the standardized form of the normal distribution.
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Two long parallel wires are 0.400 m apart and carry currents of 4.00 A and 6.00 A. What is the magnitude of the force per unit length that each wire exerts on the other wire? (μ0=4π×10−7T⋅m/A)
Answers
The magnitude of the force per unit length that each wire exerts on the other wire is 3 × 10⁻⁷ N/m.
How to determineUsing Ampere's law, the force per unit length (F/L) between two parallel wires carrying currents I1 and I2 and separated by a distance d can be calculated as:
F/L = (μ0 ⨯ I1 ⨯ I2) / (2 ⨯ π ⨯ d)
Where μ0 is the permeability of free space (4π × 10⁻⁷ T⋅m/A),
I1 is the current in the first wire (4.00 A),
I2 is the current in the second wire (6.00 A), and d is the distance between the wires (0.400 m).
F/L = (4π × 10⁻⁷ T⋅m/A ⨯ 4.00 A ⨯ 6.00 A) / (2 ⨯ π ⨯ 0.400 m)
F/L = (24π × 10⁻⁷ T⋅m/A) / (0.800 m)
F/L = 3 × 10⁻⁷ ) T⋅m/A
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a population has a per-capita growth rate of 0.5(n-15) where n is the population density
Answers
The per-capita growth rate of 0.5(n-15) indicates that the population growth rate is dependent on the population density and the carrying capacity of the environment.
Firstly, the per-capita growth rate of 0.5(n-15) implies that the growth rate of the population is directly proportional to the difference between the current population density (n) and the carrying capacity (15). The carrying capacity is the maximum population size that can be supported by the available resources in the environment.
If the population density is less than 15, meaning the environment has more resources than the current population needs, the growth rate will be positive. This means that the population will increase in size. However, as the population grows, it will eventually reach the carrying capacity, and the growth rate will decrease.
On the other hand, if the population density is greater than 15, meaning the environment has fewer resources than the current population needs, the growth rate will be negative. This means that the population will decrease in size.
It is important to note that the per-capita growth rate is a measure of the average individual's contribution to the population growth. It is calculated by dividing the total population growth by the total population size.
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Plz solve!!!!! I will give 25 points and brainliest!! and plz, no tiny links
1 3/7*2/5
Answers
Answer:
10/7*2/5= 20/35=4/7
Answer:
4/7
Step-by-step explanation:
What is 2x+56=86?
Get X by itself.
Answers
Answer:
x = 15
Step-by-step explanation:
Answer: the answer is 15
Please help me please ASAP
Answers
Answer:
x = 17
Step-by-step explanation:
(5x-23) + (7x-1) = 180
12x - 24 = 180
12x = 204
x = 17
Answer:
x = 17
Step-by-step explanation:
The 2 given angles are same- side interior angles and sum to 180° , then
7x - 1 + 5x - 23 = 180
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
For parallelogram RYFU, let N be the intersection point of the diagonals. Let RF = 7x-11 and NF = 2x+2. Find the measurement of EVERYTHING that you know, if possible.
Answers
The diagonals of parallelogram RYUF each measure 24 units.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Diagonals of parallelogram are congruent and bisect each other.
Point N is the intersection point of the diagonals of parallelogram RYFU. Hence, RF is the diagonal and N is the midpoint:
2 * NF = RF
2(2x + 2) = 7x - 11
x = 5
RF = 7(5) - 11 = 24
The diagonals of parallelogram RYUF each measure 24 units.
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Which of the following tables represents a linear relationship that is also proportional?
(A)
x −1 0 1
y 0 2 4
(B)
x −3 0 3
y −2 −1 0
(C)
x −2 0 2
y 1 0 −1
(D)
x −1 0 1
y −5 −2 1
Answers
Answer: 我不知道你好
Step-by-step explanation:
Why didnt more city-states of greece revolt about getting taken over by mac edonia?
Answers
The city-states of Greece did not revolt more against the takeover by Macedonia due to factors such as military strength, political calculations, and lack of unity.
What factors contributed to the limited revolts against Macedonia's takeover in Greece?One reason is that Macedonia, under the leadership of Philip II and later his son Alexander the Great, had established a formidable military force. The Macedonian army was highly trained and experienced, making it challenging for individual city-states to resist their advances. The overwhelming military strength of Macedonia deterred many city-states from attempting to revolt.
Additionally, Macedonia employed a strategy of diplomacy and political maneuvering to consolidate power. Philip II and Alexander the Great skillfully formed alliances and forged relationships with influential individuals and city-states, sometimes offering them favorable terms or autonomy within their territories. These political calculations persuaded some city-states to accept Macedonian rule rather than risk conflict and potential destruction.
Furthermore, the city-states of Greece were not entirely unified and often engaged in rivalries and internal disputes. This lack of unity made it difficult to mount a coordinated resistance against Macedonia. Some city-states may have been hesitant to revolt against Macedonian rule out of fear of retaliation from neighboring city-states or a desire to maintain stability within their own territories.
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A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Answers
Answer: Probability = 90%
Step-by-step explanation:
In a drawer we have:
2 black shirts
7 white shirts
11 gray shirts
If we would randomly pick a shirt, what are the chances of it not being black?
To do that, we first need to calculate the probability of getting a black shirt.
To calculate that, we need to divide the number of black shirts by the total number of shirts.
Black shirts = 2
Total shirts = 2 + 7 + 11 = 20
That will be 2 black shirts divided by 20.
We get 0.1
If we multiply 0.1 by 100%, we get a 10% chance to get a black shirt.
Now, to know to chances of not getting a black shirt, we just need to subtract 10% from 100%.
And that will be 90% chances of not getting a black shirt.
Probability = 90%
Hope I Helped!
can someone help please
Answers
When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.
To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.
The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.
When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.
Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.
Therefore, the water will be approximately 7 inches deep in the larger container.
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What is the answer to 0y + 14y
Answers
Answer:
14y
Step-by-step explanation:
when they are like terms we add the coefficients and then write the variable of those like terms.
Let y have the following distribution. x 1 2 2 4 f(x) 0.2 0.3 0.1 0.4 Find _E (X^2 + 3) (write up to first decimal place).
Answers
After solving, E(X² + 3) is 11.2 write up to first decimal place.
We must compute the expected value of the random variable X² + 3 based on the above distribution in order to determine E(X² + 3).
Let's first determine what each number of x will equal for X² + 3:
For x = 1: (1² + 3) = 4
For x = 2: (2² + 3) = 7
For x = 2: (2² + 3) = 7
For x = 4: (4² + 3) = 19
We next multiply each value by the associated probability, f(x):
For x = 1: (0.2 × 4) = 0.8
For x = 2: (0.3 × 7) = 2.1
For x = 2: (0.1 × 7) = 0.7
For x = 4: (0.4 × 19) = 7.6
In order to obtain the anticipated value, we finally add these values:
E(X² + 3) = 0.8 + 2.1 + 0.7 + 7.6 = 11.2
E(X² + 3) is therefore equal to 11.2 (rounded to the next decimal point).
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The complete question is given below:
5. A company makes cone shaped cups for its bottled water dispensers.
6 cm
900
15 cm
(not drawn to scale)
What is the volume of each cup in terms of u?
A. 157 cm
B. 45 cm
C. 135 cm
• D. 180 cm
Answers
9514 1404 393
Answer:
B. 45π cm^3
Step-by-step explanation:
The volume is given by ...
V = 1/3πr^2h
where r is the radius (half the diameter) and h is the height. With the given numbers, we have ...
V = (1/3)π(3 cm)^2(15 cm)
V = 45π cm^3 . . . volume of each cup
1. A town's population in 1979 was 182. In 2004 it was 793. Find the population in 2022. 2. Convert 6^7 = 279936 into logarithmic form.
Answers
(a) The population in 2022 cannot be determined with the given information.
(b) The logarithmic form of 6^7 = 279936 is log base 6 of 279936 = 7.
(a) To find the population in 2022, we need additional information such as the growth rate or any relevant data about population changes between 2004 and 2022. Without this information, we cannot determine the population in 2022 solely based on the data provided.
(b) The logarithmic form allows us to express an equation in terms of a logarithm. For the equation 6^7 = 279936, we can rewrite it in logarithmic form as log base 6 of 279936 = 7.
In other words, if we raise 6 to the power of 7, it equals 279936. The logarithmic form tells us that the exponent we need to raise the base 6 to in order to obtain 279936 is 7. Logarithms provide a useful way to solve equations and analyze exponential relationships.
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