Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(8) = 21 B. h(-3) = -1 C. h(13) = 18 D. h(2) = 16
Answers
None of the statements A, B, C, or D can be true for function h. This is because the domain of h is from -3 to 11, which means that the function only exists for x values between -3 and 11.
What is domain?The domain of a function is the set of all possible values of the independent variable or input for which the function is defined. It is the set of values over which the function is defined and takes real values. In simpler terms, it is the set of all possible x-values for which the function is defined.
In the given question,
None of the statements A, B, C, or D can be true for function h. This is because the domain of h is from -3 to 11, which means that the function only exists for x values between -3 and 11. Statement A refers to h(8) = 21, which is not consistent with the given value of h(8) = 19. Statement B refers to h(-3), which is not a valid value since the domain starts at -3. Statement C refers to h(13), which is also not a valid value since the domain ends at 11. Finally, statement D refers to h(2), which is not within the given domain.
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Related Questions
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brandon invests $5800 in two different accounts. The first account paid 3 %, the second account paid 8 % in interest. At the end of the first year he had earned $229 in interest. How much was in each account?
$ ___ at 3 %
$ ____ at 8 %
Answers
Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest. The total interest earned after one year is $229
How much was in each account?
Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:
\(x + y = 5800\)
The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:
\(0.03x + 0.08y = 229\)
We now have two equations with two unknowns:
\(x + y = 5800\)
\(0.03x + 0.08y = 229\)
We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.
Solve the first equation for x:
\(x = 5800 - y\)
Substitute this expression for x into the second equation and solve for y:
\(0.03(5800 - y) + 0.08y = 229\)
\(174 - 0.03y + 0.08y = 229\)
\(0.05y = 55\)
\(y = 1100\)
Now substitute this value of y into either equation to solve for x:
\(x + 1100 = 5800\)
\(x = 4700\)
Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.
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Does the angle have to be
Answers
Answer:
Number 4
Step-by-step explanation:
Side-Angle-Side, it has to be between the two sides.
Question 23 geometry
Answers
I need to find the easiest way to learn how to divide fractions and mixed fractions. I also don't get how to simplify.
Answers
Dividing by a fraction is equivalent to multiply by its inverse. For example, if you want to divide 3/4 by 5/6, you have to compute 3/4 multiplied by 6/5
\(\frac{\frac{3}{4}}{\frac{5}{6}}=\frac{3}{4}\cdot\frac{6}{5}=\frac{3\cdot6}{4\cdot5}=\frac{18}{20}\)18/20 can be simplified by dividing each term by the same number, in this case by 2.
\(\frac{18}{20}=\frac{\frac{18}{2}}{\frac{20}{2}}=\frac{9}{10}\)If you want to divide mixed numbers, first, you have to convert the mixed numbers into improper fractions, and then proceed as explained above.
0.98x0.23 what is 0.98 times 0.23?
Answers
Answer:
0.2254
Step-by-step explanation:
multiply using long multuplication
PLEASE HELP ME
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
Answers
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
How to determine what is wrong with the data?The prices from 5 gas stations surveyed are given as:
$2.79, $2.99, $2.69, $2.89, and $2.69.
There are no outliers in the dataset
So, the dataset can be summarized by the mean
The mean is
Mean = Sum/Count
So, we have
Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5
Evaluate
Mean = 2.81
The article quoted $2.69 as the typical price
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
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Two parallel lines are crossed by a transversal,
What is the value of x?
x = 21
x = 28
x=35
115
x 37
Answers
Yes do you need a solution
The solution is, the value of x is, 115, as Angle x = angle 115°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Given : Two parallel lines are crossed by a transversal.
To find : What is the value of x.
Solution : We have given Two parallel lines are crossed by a transversal.
Corresponding angles : A pair of angle that lies on the same side of the transversal line one lies on interior angle and other lies on exterior.
Corresponding angle are equal.
Then , angle x = angle 115 are corresponding.
Therefore, angle x = angle 115.
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Juan randomly surveys students in the seventh grade to learn about their favorite type of music. Of 30 respondents, 8 liked to listen to rap mus Part A Based on Juan's data, how many of the 150 students in seventh grade like to listen to rap music?
Answers
Answer: 40
Step-by-step explanation:
150 / 30 = 5
8 x 5 = 40
40 of 150 students is equivalent to 8 of 30 students.
A farmer plants the same amount every day, adding up to 4 1/3 acres at the end of the year. If the year is 5/8 over, how many acres has the farmer planted?
Answers
Answer:
5/6
Step-by-step explanation:
12/3 × 1/2 = 5/6
hope it helps
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Set up the appropriate equation to solve for the missing angle.
Answers
65^2 = 4,225
46^2 = 2,116
To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.
4,225 - 2,116 = 2,109
√2,109 ≈ 45
Hence, x ≈ 45.
Answer:
Using the Pythagorean Theorem, we know x^2 + 46^2 is equal to 65^2. With that in mind, it is important to note:
65^2 = 4,225
46^2 = 2,116
To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.
4,225 - 2,116 = 2,109
√2,109 ≈ 45
Hence, x ≈ 45.
Step-by-step explanation:
HELP ASAP !! Thanks
Answers
Step-by-step explanation:
First, let's find the area of the rectangular sides using the dimensions given.
16 x 7 = 112 \(in^2\)
112 is just for one rectangle. We need to find the area for 3 rectangles.
112 x 3 = 336 \(in^2\)
Now, we need to find the area of the triangle. Using the formula let's find the area.
bh/2
7 x 8/2
56
Our answer is 56 as we find the area of two triangles and 28 x 2 equals 56. To find the prism's total area, we have to add the areas altogether.
56 + 336 =
Answer: 392 \(in^2\)
5. True or False: When we find the slope of a line. We want
the slope in the most reduce form.
Answers
Answer:
True
Explanation:
There are several reasons for this, but the most basic one is that when the slope is in its most reduced form it’s easier to graph and understand.
A sample of size n will be selected from a population with population proportion p. Which of the following must be true for the sampling distribution of the sample proportion to be approximately normal? Both np and n(1 – p) are at least 10. n is greater than 30. pis greater than 0.5. D The mean is equal to np. E The variance is equal to np(1 – p).
Answers
The correct option : Both np and n(1 – p) are at least 10, for the a population with population proportion p.
Explain the term population proportion?A portion of a population that possesses a certain characteristic, given as a percentage, fraction, or decimal of the entire population.
The population percentage for a finite population is equal to the population's size divided by the proportion of its members who share a given trait.P′ is equal to x / n, where x is the total number of successes and n is the sample size. As a predicted value for the genuine population proportion, the variable p′ represents the sample proportion.For the stated data;
n = sample size of the population
p = population proportion
Then, for the sampling distribution of the sample proportion to be approximately normal both np and n(1 – p) are at least 10.
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I will give the BRAINIEST
jack works after school. Each day he earns a set amount, plus an hourly wage. Choose the linear function f Jack can use to determine his pay.
Answers
Answer:
It's f(x)=10x+8
Step-by-step explanation:
Because it says every hour not every half hour and the graph changes by 0.5 instead of 1 so m would equal 10
I NEEED TO GET THIS RIGHT PLS ANSWERRRRR. ILL GIVE YOY ALOT OF POINTS AND A BRAINLYIST!!!
Answers
Answer:0.5n
Step-by-step explanation: its to long to explain but correct :)
Answer:
0.5n
Step-by-step explanation:
What is the area of a circle with the diameter of 10
Answers
total area of 3 figures
Answers
Given dimensions:
x=31 feet, y= 24 feet and z= 95 feet
We can split the shape above into 3 components: A, B, and C
To find the total area, we will find the sum of the areas of each component
For A
The shape of A is that of a semi-circle.
The area of a semi-circle is given to be
\(\text{Area}=\text{ }\frac{1}{2}\text{ x }\pi r^2\)The radius will be the diameter divided by 2
y= diameter
r= radius = y/2
r=24/2 =12 feet
pi=3.14
\(\begin{gathered} \text{Area}=\frac{1}{2}\text{ x 3.14 x 12 x 12} \\ \text{Area}=226.08\text{ ft}^2 \end{gathered}\)For B
The shape is a rectangle
The area of a rectangle is given by
A = l x b
where l = 31 and b = 24
Area = 31 x 24
Area = 744 square feet
For C
The shape is a triangle
The area of the triangle is given by
\(A=\frac{1}{2}\text{ x base x height}\)base = 64 feet, height = 24 feet
\(\text{Area}=\frac{1}{2}\text{ x }64\text{ x 24 =768 ft}^2\)The total area is
22
which of the following polynomials are quadratic
Choose all answers that apply:
4x^2+3x+1
x+y
x^2+4x
Answers
Step-by-step explanation:
4x^2+3x+1 and x^2+4x are quadratic
find the exact value of x. 45 degree and 10 side
Answers
Answer:
The exact value of the other leg is 10.
Step-by-step explanation:
Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.
Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.
Substituting known values, we get:
(10√2)^2 = 10^2 + b^2
200 = 100 + b^2
b^2 = 100
b = 10
Therefore, the exact value of the other leg is 10.
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answers
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
A box contains 4 green pebbles and 4 yellow pebbles. What isthe probability of drawing 2 green pebbles and 2 yellowpebbles without replacement?
Answers
Solution
- The solution steps are given below:
\(\begin{gathered} \text{ Number of green pebbles }=4 \\ \text{ Number of yellow pebbles}=4 \\ P(green)=\frac{2}{4}=\frac{1}{2} \\ \\ P(yellow)=\frac{2}{4}=\frac{1}{2} \\ \\ \text{ The probability of drawing 2 green pebbles and 2 yellow pebbles is:} \\ P(2green,\text{ }2yellow)=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4} \end{gathered}\)Final Answer
The answer is:
\(\frac{1}{4}\)Select the correct answer.
A recent survey reported that 9.7% of Virginia's population worked in the construction industry. Which is equivalent to 9.7%?
Question 8 options:
970
97
0.97
0.097
Answers
Answer:
0.097
Step-by-step explanation:
For the function f(x) = 4x3 + 3x + 1, find f '(1).
A.
15
B.
8
C.
12
D.
13
Answers
Answer:B
Step-by-step explanation:
Which equation shows a slope of -5 and a y-intercept of (0,1)?
Answers
Where m is the slope and b is the y intercept.
So plug in the slope and y intercept
Y=-5x+1
As for the answer of the question in the picture, it is intercepting but not perpendicular.
If the 2 equations are parallel then the slope is the same with different y intercepts.
If the 2 equations are perpendicular the slopes would be the negative inverses of one another.
(Example: y=2x and y=-(x/2)+5 would be perpendicular to one another)
If the slope and y intercept are the same then it is the same line
Since it is neither of those it is intercepting but not perpendicular.
please help as soon as possible
Answers
Answer: C
Step-by-step explanation:
The answer would be C because you have to look at the two closest perfect squares that the number is in between. 47 is in between six squared (36) and seven squared (49). That is why the answer would be somewhere between six and seven.
Answer:B.6 and 7
Step-by-step explanation: square root of 47 =6.9
Please help will mark Brainly
Answers
The number of tickets day and evening combined should be more then 8 since it says at least 8 tickets. However the cost of the tickets which is 15x+30y (multiply the amount of tickets bought by the cost) should be less then 300 bucks since they have a budget. Hope this helps!
PLEASE I NEED THE ANSWER (JUST THE ANSWER)
Answers
Not sure on how to do this. Could really use some help. (There is 2 parts to this question)
Answers
The figure attached is composed of a cylinder and an sphere. Then:
Surface Area = Total Area of the Sphere + Side Area of the Cylinder.
Hence:
\(\begin{gathered} A_{sphere}=4πr^2 \\ A_{sphere}=4\times\pi\times8^2 \\ A_{sphere}=804.25cm^2 \end{gathered}\)Now, the side area of the cylinder:
\(\begin{gathered} SA_{cylinder}=2\timesπ\times r\times h \\ SA_{cylinder}=2\timesπ\times8\times12.5 \\ SA_{cylinder}=628.32cm^2 \end{gathered}\)Finally:
\(SA=804.25+628.32=1432.57cm^2\)ANSWER
The surface area is 1432.6 cm²
Now, to find the volume:
Total Volume = Volume of the Sphere + Volume of the Cylinder
Volume of the Sphere:
\(\begin{gathered} V_{sphere}=\frac{4}{3}πr³ \\ V_{sphere}=\frac{4}{3}\pi\times8^3=2144.66cm^3 \end{gathered}\)Volume of the Cylinder:
\(\begin{gathered} V_{cylinder}=πr²h \\ V_{cylinder}=π\times8^2\times12.5=2513.27cm^3 \end{gathered}\)Finally:
\(V=2144.66+2513.27=4657.93cm^3\)ANSWER
The volume is 4657.9cm³
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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HELP!!
Next, you will make a scatterplot. Name a point that will be on your scatter plot and describe what it represents.
Answers
A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
One point on the scatter plot for this problem has the coordinates given as follows:
(19, 3).
Hence the meaning is that an input of 19 is mapped to an output of 3.
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