Help!!!!
A system of inequalities is shown.
Which system Is represented in the graph?
Answers
The system of inequalities represented on the graph is:
y > 2x + 3.y > (x + 1)² - 4.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The linear function in this problem has y-intercept of b = 3, and also goes through the point (1,5), hence the slope is of 2. The line is dashed, hence it is not included in the solution, hence only the part greater than the line is, hence:
y > 2x + 3
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this graph, the vertex of the parabola is of (-1,-4), hence h = -1, k = -4, and the equation is:
y = a(x + 1)² - 4
When x = 0, y = -3, hence the leading coefficient is found as follows:
-3 = a - 4
a = 1.
Hence:
y = (x + 1)² - 4.
And the inequality is:
y > (x + 1)² - 4.
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Related Questions
The approximate weights of two animals are 5.36 x 10^4 lbs. and 6.2 x 10^4 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.
Answers
Answer: The total weights of the two animals is 11. 92 × 10² Ibs
Step-by-step explanation:
4= 3/7(3x+14)
Solve for x in simplest form.
Answers
- Please see the attached picture for full solution!:)
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Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he
has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of
the number of ladder rungs that Yan climbed?
A. 4+4+4+4
B. 8+8+8+8
C. (-1)(4+4+4+4)
D. (-8)+(-8)+(-8)+(-8)
Answers
Answer:
A. 4+4+4+4 ...............
Answer - B.
Question -Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he
has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of
the number of ladder rungs that Yan climbed?
A. 4+4+4+4
B. 8+8+8+8
C. (-1)(4+4+4+4)
D. (-8)+(-8)+(-8)+(-8)
Why - The answer is B because if you read the question, it says basically, 4x8 and to solve that the hard way it is 8+8+8+8 meaning 8, 4 times. So the answer is B. YES A IS WRONG!
What is the area of the square?
Answers
Answer: 16
Step-by-step explanation:
All you do is count the space in between 0 and 5 and then take that number and multiply it by itself.
adam, benin, chiang, deshawn, esther, and fiona have internet accounts. some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. each of them has the same number of internet friends. in how many different ways can this happen?
Answers
(a) Therefore, the range of possible values for "x" is 1 to 5. (b) Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31. Therefore, there are 31 different ways this can happen
To find the number of different ways this can happen, we can consider the number of internet friends each person can have. Since each person has the same number of internet friends, let's denote that number as "x". We can then create equations based on the given information:
1. Some, but not all, of them are internet friends with each other: This means that at least two people are internet friends with each other, but not everyone is friends with each other. This implies that the minimum number of internet friends any person can have is 1, and the maximum number is 5 (since there are 6 people in total).
Therefore, the range of possible values for "x" is 1 to 5.
2. None of them has an internet friend outside this group: This means that each person's internet friends must be within this group of 6 people. So, the number of internet friends each person can have is limited to the remaining 5 people.
To find the number of different ways this can happen, we need to sum up the possible values of "x" and calculate the corresponding combinations. For "x = 1", we choose 1 person out of 5 remaining people, giving us C(5, 1) = 5. For "x = 2", we choose 2 people out of 5 remaining people, giving us C(5, 2) = 10.
Similarly, for "x = 3", "x = 4", and "x = 5", we have C(5, 3) = 10, C(5, 4) = 5, and C(5, 5) = 1 respectively. Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.
Therefore, there are 31 different ways this can happen
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What is the name of the green segment in the hyperbola below
Answers
The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.
In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.
The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.
The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.
The blue segment is the conjugate axis, and it is represented by the letters "2b".
Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.
If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.
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assume that blood pressure readings are normally distributed with a mean of 116 and a standard deviation of 4.8. if 36 people are randomly selected, find the probability that their mean blood pressure will be less than 118.
Answers
The probability that mean blood pressure less than 118 is 0.9938.
We have given that,
blood pressure are normally distributed mean of 116
i.e. μ = 116
standard deviation σ = 4.8
n = 36
and we have to find probability that their mean blood pressure will be less than 118.
The formula to find the above probability is,
P(Z=X) = (x - μ) / (σ/\(\sqrt{n}\) )
⇒ P(Z < 118) = (118 - 116) / 4.8/\(\sqrt{36}\)
= 2 / (4.8/6)
= 2/0.8
P(Z < 118) = 2.5
From the z-table the value of z at 2.5 is 0.9938,
⇒ P(Z < 118) = 0.9938.
Therefore the probability that their mean blood pressure will be less than 118 is 0.09938.
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Does the point (2, -1) lie on the line y=-3x+5?
Answers
Factor by gcf 6x2+3x+21 The 2 is supposed to be small.
Answers
Given:
The expression is:
\(6x^2+3x+21\)
To find:
The factor of the given expression by GCF.
Solution:
It is given that,
\(6x^2+3x+21\)
The terms of the given expression are \(6x^2,3x,21\). The greatest common factor of these terms is 3.
\(6x^2+3x+21=3\times 2x^2+3\times x+3\times 7\)
So, taking out the GCF, the given expression can be rewritten as:
\(6x^2+3x+21=3(2x^2+x+7)\)
Therefore, the factor form of the given expression by GCF is \(3(2x^2+x+7)\).
Which rectangular equation represents the parametric equations x =t superscript one-half and y = 4t?
Answers
true or false let a be a real square matrix. if a is diagonalizable then a is symmetric
Answers
False. let a be a real square matrix. if a is diagonalizable then a is symmetric
Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.
While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.
Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.
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There are less than 200 apples in a box. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples can be in that box? There is a lot of answers
Answers
Answer:
1200
Step-by-step explanation:
6×200=1200ans...
Answer:
60, 120, 180
Step-by-step explanation:
The lowest common multiple of 2, 3, 4, 5, and 6 is 60. The box could contain any multiple of 60 that is less than 200. 60 apples. ... The answer can be any number 1–199, if there are no preconditions about slicing up a 'remainder' apple to split amongst the kids.
What is the value of 5√42 to the nearest tenth?
Answers
Help Please Due Soon! Find m
Answers
Answer:
{the question is asking to find the value of x not m}
The value of x is 9°
Step-by-step explanation:
8x-2°+47° = 12x+9°{an exterior angle formed by producing the side of triangle is equal to two non adjacent angle}
or, 8x+45° = 12x+9°
or, 8x-12x = 9°-45°
or, -4x = -36°
or, x = -36°/-4
or, x = 9°
A triangle has angles that measure x, (x + 10), and (2x - 6). Solve for x to find the value of each angle, and determine what type of triangle it is.
Group of answer choices
60, 60, 60. Equilateral
40, 40, 100. Obtuse
44, 46, 90. Right
44, 54, 82. Acute
Answers
Answer:
44, 54, 82. Acute
Step-by-step explanation:
x + x + 10 + 2x - 6 = 180 (Triangle Sum Theorem)
4x + 4 = 180 (Combine Like Terms)
4x = 176 (Subtraction Property of Equality)
x = 44 (Division Property of Equality)
Now that we have found the value of x, we need to substitute it with the provided angles.
∡1 = x = 44°
∡2 = x + 10 = 54°
∡3 = 2x - 6 = 2(44) - 6 = 82°
So, the answer is an Acute triangle (Option 4).
what are the intercepts of the graph of the equation, y=-7
Answers
Answer:
y-7=0 is the same as y=7
The drawing of y=7 is a straight horizontal line intercepting the y axis at 7. So basically it's a horizontal line that passes through (0,7). Its slope is zero since it's a horizontal line.
Step by step explanation:
A line with no x in the equation is a horizontal line. In this case, y=7. All horizontal lines have a slope of 0, since there is never a change in the y coordinate (it is always 7) so the numerator of the fraction used to determine the slope is 0.
The y-intercept is, of course 7 (all y values on the line are 7). There is no x-intercept since it is a horizontal line through the point (0,7) so it will never intersect the x-axis.
Jack had to purchase a book for college. The book cost $280 at the campus store. Jack found it online for 15% off. How much can he save if he purchases it online?
Answers
Answer:
I think its 238.00
Step-by-step explanation:
Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the correct equation for how much Yolanda will have in year 10? O A. A(10) = 30,000 • (1 + 0.079) 10 O B. A(10) = 30,000 - (1 + 0.79)10 - 1 O C. A(10) = 30,000 - (1 + 0.079)10 - 1 O D. A(10) = 30,000 - (1 + 0.079) 10 + 1
Answers
Based on the given conditions
Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called.
Answers
Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.
Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.
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You are helping to prepare a large kettle of chicken noodle soup. You need to peel 60 carrots. You have peeled 18 carrots already. It has taken you 9 minutes to peel the 18 carrots. How many more minutes will it take you to peel the rest of the carrots?
Answers
Answer:
21 minutes
Step-by-step explanation:
60 - 18 = 42
18 carrots ÷ 9 minutes = 2 carrots per minute
42 ÷ 2 = 21
What is 20% off a 15$ shirt?
12.50
12
10
Answers
Answer:
12
Step-by-step explanation:
15 multiplied by 20% is 3
Subtract 3 from 15 and you get 12
Simplify the following expression.
5x [13 + 10 = (3 + 2)] + 9x2
Answers
Answer:
x = 1/5 or x=0.2
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contain the variable.
Keisha bought 11 pounds of rice for $5.
How many dollars did she pay per pound of rice?
dollars per pound
Answers
Answer:
$2.20
Step-by-step explanation:
11 pounds of rice for $5.
Divide the $5 by 11.
11 divided by 11 is 1.
So 1 pound of rice is $2.20.
(PS i might be wrong, SO SORRY IF I AM)
For the lucky ones
What is 2*2-45+2-4*37
25 points
Answers
Answer:
-187
Step-by-step explanation:
2*2-45+2-4*37
(multiply)
4-45+2-148
(calculate)
-187
plz help me out with this
Answers
Answer:
B and a great deal on a spring break and a good time to get answer for the spread of Islam in the Horn of the following elements has your examination and your
1) For what values is the statement true? sin(x+20)°=cos(y−10
x=20, y=60
x=20, y=50
x=30, y=40
x=30, y=60
2)In right triangle ABC with right angle C, sinA=4/5 and cosA=3/5. What is sinB+cosB?
1/5
7/5
35/12
5/7
3)In a right triangle ABC where sinA=cosB, what are the measures of acute angles A and B if the measure of angle A is three times the measure of angle B?
The measure of angle A is 67. 5° and the measure of angle B is 22. 5°.
The measure of angle B is 135° and the measure of angle A is 45°.
The measure of angle A is 135° and the measure of angle B is 45°.
The measure of angle B is 67. 5° and the measure of angle A is 22. 5°.
4)What is the value of b that makes the equation cos(17b+26)°=sin(15b)° true?
13
2
9. 5
3
Answers
Answer:
1) X =20° ,Y=60°
2) 7/5
3) first is correct
4) 2
The minute hand on an analog clock is 6 inches long. How far does the tip of the minute hand travel as time goes from 6:35 to 6:45?
Answers
we know that
The clock represent a complete circle
The circumference of a circle is giving by the formula
C=2pi r
where
r is the radius of the circle
In this problem
The radius of the circle is equal to the length of the minute hand
so
r=6 in
C=2pi(6)
C=12pi in
The length of the complete circle subtends a central angle 0f 360 degrees
Find out what is the central angle for 10 minutes (6:35 to 6:45)
we know that
6 hours represent 90 degrees
so
1 hour represent 15 degrees
1 hour represent 60 minutes so
divide by 6
15/6=2.5 degrees
therefore
using proportion
12pi/360=x/2.5
solve for x
x=12pi(2.5)/360
use 3.14 as pi
x=12(3.14)(2.5)/360
x=0.26 inches
The answer is 0.26 inches
Write the equation of the line fully simplified slope-intercept form
Answers
Answer:
y=4x-3
Step-by-step explanation:
Answer:
thanks for the answer
Step-by-step explanation:
Q
(x + 40)
(3x – 20)
R
S
Find m
Answers
Answer:
30
Step-by-step explanation:
1. x + 40 = 3x - 20
2. 40 = 2x - 20
3. 60 = 2x
4. 30 = x
A line passes through (−1, 5) and (1, 3).
Which answer is the equation of the line? PLEASE HELP