10 packages are available, some of which contain only 3 and others 4 rookie cards. There are a maximum of 38 rookie cards in all.
what is linear equations ?In math, a linear equation one of that of the form y=mx+b. The slope is B, and the una is m. As y and x are variable, the previous statement is frequently referred to as a "system of equations with 2 variables." Bivariate linear equations are logistic equations with two or more variables. Formulas can be found in various locations, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When such an equation has had the structure y=mx+b, where m represents the slope and b its y-intercept, it is known to as being linear. A model formula is said to be cubic if its solution seems to have the form y=mx+b, wherein m stands for the gradient and b for the y-intercept.
3x + 4y = 38
x + y = 12 ( Multiply by -3)
Hence
3x + 4y = 38
-3x - 3y = -36
Add
y = 2
In the case where y = 2
x = 12 - y
x = 12 - 2
x = 10,
10 packages are available, some of which contain only 3 and others 4 rookie cards. There are a maximum of 38 rookie cards in all.
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Express each of the following in km/hour.
(a) 8.4km/min
(b) 315m/second
(c) 242m/min
(d) 125cm/s
a) We convert per minute to per hour so we multiply it by 60 to get:
=> 504km/h
b) We convert per second to per hour so we multiply it by 3600 to get:
=> 1134000m/h
=> We then convert meters into km to get:
=> 1134km/h
c) We convert per minute to per hour so we multiply it by 60 to get:
=> 14520m/h
=> Now we convert meters into km once again so we get:
=> 14.52km/h
d) We convert per second to per hour so we multiply it by 3600 to get:
=> 450000cm/h
=> We now convert cm into km which means we divide it by 100,000
=> 4.5km/h
Help me with number 7 hurrryyyyyy
The solution of the given expression for multiplication is 3 / 2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression of the multiplication is 1¹/₂ x 9 / 10.
The numbers will be multiplied as below:-
E = 1²/₃ x 9 / 10.
E = ( 5 / 3 ) x ( 9 / 10 )
E = 3 / 2
Therefore, the solution will be 3 / 2.
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three cards are chosen at random from a standard -card deck. what is the probability that they are not all the same color?
The probability that three cards chosen at random from a standard 52-card deck that are not all the same color is 3/4.
Total number of combinations of three cards: There are 52 choose 3 = 22,100 ways to choose three cards from a standard deck of 52 cards.
Number of combinations that are not all the same color: There are two possibilities for the colors of the three cards:
a. Two red cards and one black card: There are 26 choose 2 ways to choose two red cards and 26 choose 1 ways to choose one black card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.
b. Two black cards and one red card: There are 26 choose 2 ways to choose two black cards and 26 choose 1 ways to choose one red card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.
The total number of combinations that are not all the same color is 8,450 + 8,450 = 16,900.
The probability that three cards chosen at random are not all the same color is:
P(not all the same color) = (number of combinations that are not all the same color) / (total number of combinations of three cards) = 16,900 / 22,100 = 3/4.
Therefore, the probability that three cards chosen at random from a standard 52-card deck are not all the same color is 3/4.
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A new mountain bike will cost p dollars. Maddie has saved $375 for a new mountain bike. Her grandmother will give her $215 to help pay of the new bike.
Which inequality can be used to find the possible price values, p, of new mountain bikes that Maddie can afford?
Price values, p, of new mountain bikes that Maddie can afford is 375 + 215 ≥ p
What is inequality?
Inequality is a relationship between two expressions or values that are not equal to each other.
The inequality that can be used to find the possible price values, p, of new mountain bikes that Maddie can afford is:
375 + 215 ≥ p
This inequality represents the total amount of money Maddie has saved and the amount her grandmother will give her being greater than or equal to the cost of the bike. If the left side of the inequality is greater than or equal to the right side, Maddie can afford the bike at that price.
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The graph of a linear function is shown.
A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing through (0, 0) and (5, 1).
Which word describes the slope of the line?
positive
negative
zero
undefined
–6
–4
4
6
The required slope of the linear function shown on the graph passing through (-5, -1) to (5, 1) is given as positive 1/5. Option A is correct.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
A coordinate plane with a straight line. The line starts at (-5, -1) and continues up and to the right passing through (0, 0) and (5, 1).
The slope of a linear function is given as,
M = (y₂ - y₁) / (x₂ - x₁)
m = 1 + 1 / 5 + 5
m = 2 / 1 0
m = 1 / 5
Thus, the required slope of the linear function shown on the graph passing through (-5, -1) to (5, 1) is given as positive 1/5. Option A is correct.
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Answer:
the answer is a
Step-by-step explanation:
t 1.9.3 Quiz: Finding Vertical Asymptotes
Question 10 of 10
Which of the following rational functions is graphed below?
OA. F(x) ==
OB. F(x)=¹
O C. F(x) = 1/
○ D. F(x)=x+4
← PREVIOUS
The solution is
A) The vertical asymptote of the function f ( x ) is = -3
B) The holes in the graph of f ( x ) = ( 0 , 6 )
C) The horizontal asymptote of the function f ( x ) is = 6
What are Asymptotes?An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote. When graphing functions, asymptotes are typically not required
There are 3 types of asymptotes
Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k. Horizontal Asymptote is when the function f(x) is tending to zero
Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k. Vertical asymptotes are defined when the denominator of a rational function tends to zero
Slanting asymptote (Oblique asymptote) - It is a slanting line and hence its equation is of the form y = mx + b
here, we have,
Given data ,
Let the function be f ( x ) = ( 6x² + 6x - 36 ) / ( x² + 3x )
A)
Now , to find the vertical asymptote
To find the vertical asymptote of a rational function, we simplify it first to lowest terms, set its denominator equal to zero, and then solve for x values
So , when x² + 3x = 0
x ( x + 3 ) = 0
So , x + 3 = 0
x = 0 is a hole in the graph
x = -3 is the vertical asymptote
B) The hole in the graph is ( 0 , 6 )
C)
Now , to find the horizontal asymptote
If both the polynomials have the same degree, divide the coefficients of the leading terms
So , 6x² and x² are the polynomials having the same degree
So , the coefficients are 6 and 1
y = (leading coefficient of numerator) / (leading coefficient of denominator)
y = 6 is the horizontal asymptote
Hence ,
A) The vertical asymptote of the function f ( x ) is = -3
B) The holes in the graph of f ( x ) = ( 0 , 6 )
C) The horizontal asymptote of the function f ( x ) is = 6
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Complete question:
Find the following for the rational function
f (x) =6x²+62-36/x²+3
A. Find the vertical asymptote(s) of f.
B. Find the (x, y) coordinates of any holes in the graph of f.
C. Find the horizontal asymptote(s) of f.
a scuba diver plans to go on two dives in one day. in the first, she will descend to feet, and in the second she plans to descend to feet. estimate the difference between the depth of the two dives by first rounding to the nearest ten.
In linear equation, 30 is the depth of the two dives by first rounding to the nearest ten.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
= 75-43 feet,
= 32 feet.
Round 32 to the nearest ten, and you get 30 feet.
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The complete question is -
A scuba diver plans to go on two dives in one day. In the first, she will descend to 75 feet, and in the second she plans to descend to 43 feet. Estimate the difference between the depth of the two dives by first rounding to the nearest ten.
A) 30 feet
B) 40 feet
C) 120 feet
D) 32 feet
Find the volume of this triangular prism
Answer:
Step-by-step explanation:
V = (1/2bh)l
= (1/2(5x2))4
= (5)(4)
= 20cm^3
[tex]A=\frac{b*h}{2} \\\\a^2+b^2=c^2\\\\2^2+5^2=c^2\\4+25=c^2\\\sqrt{29}=c\\ \\A=\frac{\sqrt{29}*4 }{2}\\ A=\frac{\sqrt{29}*\sqrt{16}}{2}\\ A=\frac{\sqrt{464}}{2}\\[/tex]
nvm this is wrong lol, too many "solve for the missing side" problems bouncing around in my head
[tex]A=\frac{(5*2)(4)}{2} \\A=\frac{5*2*4}{2}\\A=5*4\\A=20[/tex]
this is right
Joe is thinking of a number. Eleven more than one third of the number is -1. What is the number?
The number Joe is thinking of is -36.
To find the number Joe is thinking of, use algebraic expression and equation.
Let x be the number Joe is thinking of
According to the problem, "Eleven more than one third of the number is -1". We can translate this into an algebraic expression such as:
x/3 + 11 = -1
To find the value of x, we'll isolate it on one side of the equation:
x/3 = -12
Next, we'll multiply both sides of the equation by 3 to cancel out the fraction:
x = -36
Therefore, the number Joe is thinking of is -36.
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What is the value of x in the equation 3/5(x + 2) = x−4
Answer:
x = 13
good luck
jaya is taking two books along on her holiday vacation. with probability 0.5 she will like the first book; with probability 0.4 she will like the second book; with probability 0.3 she will like both books. what is the probability she will like neither book? give your answer using 2 decimal places.
The probability that Jaya likes neither book is 1 - 0.6 = 0.4, or 40%. To two decimal places, the answer is 0.40.
The probability that Jaya will like neither book can be found by subtracting the probability that she likes at least one book from 1.
The probability that Jaya likes at least one book is the sum of the probabilities that she likes the first book, the second book, or both books:
P(likes at least one book) = P(likes first book) + P(likes second book) - P(likes both books)
P(likes at least one book) = 0.5 + 0.4 - 0.3 = 0.6
So, the probability that Jaya likes neither book is 1 - 0.6 = 0.4, or 40%. To two decimal places, the answer is 0.40.
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A rocket is shot off from a launcher. The accompanying table
represents the height of the rocket at given times, where x is time, in
seconds, and y is height, in feet. Write a quadratic regression equation
for this set of data, rounding all coefficients to the nearest tenth. Using
this equation, find the height, to the nearest foot, at a time of 9.7
seconds.
Time in Seconds (x) Height in Feet (y)
1
298
1.8
518
2.4
660
3.8
961
4.8
1137
The height is 2,236.66 feet.
What is Regression line?An estimate of the line that depicts the actual, but unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.
Given:
The model obtained using a regression solver with Coefficient
ŷ = 219.28876X + 109.56303
height = y
x = time
Using the model obtained;
The height, to the nearest foot, at a time, x = 9.7seconds.
ŷ = 219.28876X + 109.56303
ŷ = 219.28876(9.7) + 109.56303
ŷ = 2,236.66
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after running a chi-square test using the actual values and expected values, a p-value of 0.0000005 is obtained. is there a statistically significant association between the variables?
Yes, there is a statistically significant association between the variables when a p-value of 0.0000005 is obtained after running a chi-square test.
The p-value is the probability of observing a test statistic as extreme as the one calculated, assuming that the null hypothesis is true.
In most cases, if the p-value is less than 0.05 (5%), it is considered statistically significant. This means that there is less than a 5% chance that the results observed in the chi-square test are due to random chance, and that there is likely a real association between the variables being tested.
In the case of a p-value of 0.0000005, this is much less than 0.05 and therefore, it can be concluded that there is a statistically significant association between the variables.
This means that the observed differences between the actual values and expected values are not due to chance, but rather, there is a strong relationship between the two variables being tested.
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add the following -7 plus 7
Answer: 0
Step-by-step explanation:
-7,-6,-5,-4,-3,-2,-1,0
7 times
The diagram shows a circle with centre O.
A, B & C lie on the circumference of this circle.
Given that AC is a diameter of the circle and ∠BCA = 5 × ∠BAC, find the size of ∠BAC as highlighted in the diagram.
this is ez, make sure to give me brainliest
Answer: ∠BAC = x = 15 degrees
Step-by-step explanation:
since AC is diameter, ∠ABC = 90 degrees
let ∠BAC = x
then ∠BCA = 5x
now, x + 5x + 90 = 180
6x = 90
x = 90/6 = 15
so, ∠BAC = x = 15 degrees
4 Type the correct answer in the box. Use numerals instead of words. A car enters a traffic circle at point R. and moves counterclockwise 296 feet before exiting the traffic circle at point P. To the nearest degree, what is the measure of the central angle, ZPQR? 150 ft Q m. All rights reserved. The measure of ZPQR is approximately ?
The measure of ZPQR is approximately 113°
What is Geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specializes in geometry.
Therefore, to find the measure of ZPQR, we would follow the following steps:
Let x= measure of <PQR
Hence, the measure of <PQR
296 = x/360 x 3.14 x 2 x 150
Hence, x = 113.12 °
Approximately, the measure of ZPQR is 113 °
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Answer: the person above is right
Step-by-step explanation: have a good day:)
plss help me
Express sin
�
S as a fraction in simplest terms.
By definition of trigonometric functions, the exact value of sine trigonometric function of angle S is equal to 2 / 9.
How to calculate the exact value of a trigonometric function
In this problem we find the case of a right triangle, of which two of its three sides are known, the hypotenuse (r) and the leg opposite to angle S (y). The exact value of sine trigonometric function is defined below:
sin S = y / r
sin S = QR / QS
sin S = 2 / 9
The sine trigonometric function of angle S is equal to 2 / 9.
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Answer fast pls, test The volleyball team is accepting donations and having a car wash to raise funds for an out-of-state tournament and to purchase new equipment. The team plans to use 30% of all donations and car wash proceeds for new equipment. The table shows the results from over the weekend where w represents the amount charged per car wash.
Day
Donations and
Car Wash Proceeds
Saturday 25w + 95
Sunday 19w + 115
If the team charged $5 per car wash, how much money will they have to spend on new equipment?
The team plans to use 30% of all donations and car wash proceeds for new equipment, so they will have $430 * 0.30 = $129 to spend on new equipment.
We can start by finding the total amount of money raised from the car wash and donations on Saturday and Sunday. If the team charged $5 per car wash, then the total amount of money raised from car washing on Saturday is 25 * 5 = $125. The total amount raised from donations and car washing on Saturday is $125 + 95 = $220. Similarly, the total amount of money raised from car washing on Sunday is 19 * 5 = $95. The total amount raised from donations and car washing on Sunday is $95 + 115 = $210. The total amount of money raised over the weekend is $220 + $210 = $430. The team plans to use 30% of all donations and car wash proceeds for new equipment, so they will have $430 * 0.30 = $129 to spend on new equipment. Next, we can find the total amount raised from donations over the weekend. On Saturday, the team raised $25 + 95 = $120 from donations. On Sunday, the team raised $19 + 115 = $134 from donations. So, the total amount raised from donations is $120 + $134 = $254. Finally, we can find the total amount the team raised over the weekend by adding the amount raised from car washes and the amount raised from donations: $220 + $254 = $474.
Since the team plans to use 30% of all donations and car wash proceeds for new equipment, they will have 0.30 * $474 = $142.20 to spend on new equipment.
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El peso de un objeto en le polo norte es 0.53% mayor que en el ecuador.cuanto pesa en el polo norte un objeto de 50 libras en el ecuador?
Answer:
Step-by-step explanation:
el awnser es 0.265 libras mas
help me PLEASE Write a linear (y=mx+b), quadratic (y=ax2), or exponential (y=a(b)x) function that models the data.
y=
Here are graphs of functions f and g. For each, determine the value of k so that g(x) = k(x).
The graph of the function f(x) = x² - 10x. and the graph of the function
g(x) = x² - 30x.
What are some rules for function transformations?
Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over the y-axis, (-x, y).
-f(x) = Reflection over the x-axis, (x, -y).
The graph of the first function is a quadratic function.
f(x) = (x - 0)(x - 10).
f(x) = x² - 10x.
Now, g(x) = (x - 0)(x - 30).
g(x) = x² - 30x.
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Probability: It's either between C and D, am I correct?
-2 - Complete the identities Find values that make the equations below identities. - 6(x-4) + 2(x+5) = ax + b − 3(x + c) − 4(x + d) Complete these identities. 3x - 24 = +X = X 5(x + 5) = = (x a) (x b) = (a + b) + c = c + ( |(x - - 7x - 15 X + x² - ( 1) x + ab [2] [1] [2] [1] [4] a = C = b = d = [2] [2]
1. Complete the identities
a = -4
b = 34
c = 1
d = 3
2. Complete the identities
3x - 24 = 3(x - 8)
0 + x = x
5(x + 5) = 5x + 25
(a + b) + c = c + (a + b)
(x - a)(x - b) = x² - (a + b)x + ab
Before solving the above equation, we need to know the algebraic formula. The algebraic formula is
a(x + b) = ax + ab
1.
- 6(x - 4) + 2(x + 5) = ax + b
⇒ -6x + 24 + 2x + 10 = ax + b
-6x + 2x + 24 + 10 = ax + b
-4x + 34 = ax + b
So we get the values a and b.
-4x = ax ⇔ a = -4
b = 34
− 3(x + c) − 4(x + d) = - 7x - 15
-3x - 3c - 4x - 4d = -7x - 15
-3x - 4x - 3c - 4d = -7x - 15
-7x - (3c + 4d) = -7x - 15
-7x + 7x - (3c + 4d) = - 15
- (3c + 4d) = - 15
3c + 4d = 15
Let c = 1
3c + 4d = 15
3(1) + 4d = 15
3 + 4d = 15
4d = 15 - 3
4d = 12
d = 3
2.
3x - 24
= 3 × x - 3 × 8
= 3(x - 8)
.... + x = x
-x + x = 0
5(x + 5) = 5 × x + 5 × 5
= 5x + 25
(a + b) + c = c + (a + b)
Let (x + a)(x + b)
(x + a)(x + b) = x² + ax + bx + ab
= x² + (a + b)x + ab (not eligible)
Let (x + a)(x - b)
(x + a)(x - b) = x² + ax - bx - ab
= x² + (a - b)x - ab (not eligible)
Let (x - a)(x + b)
(x - a)(x + b) = x² - ax + bx - ab
= x² - (a - b)x - ab (not eligible)
Let (x - a)(x - b)
(x - a)(x - b) = x² - ax - bx + ab
= x² - (a + b)x + ab (eligible)
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the fibonacci sequence is found by adding the two numbers before it together. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... the 2 is found by adding the two numbers before it (1 1). the 21 is found by adding the two numbers before it (8 13). the next number in the fibonacci sequence is:
The next number in the Fibonacci sequence after 34 (found by adding 21 and 34) is 55.
The Fibonacci sequence is a series of numbers where each number is the sum of the two numbers preceding it. The sequence starts with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... and continues infinitely. The number 34 is found by adding the two numbers before it (13 and 21), and the next number in the sequence is 55, which is the sum of 34 and 21. This pattern continues, with each subsequent number being the sum of the two numbers before it.
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What is a general solution of a differential solution?
Answer: A general solution of a differential equation is a solution that contains all possible solutions of the equation, including all arbitrary constants. It provides a general form of the solution that can be customized to fit the specific conditions of the problem.
For example, the general solution of a second-order linear homogeneous differential equation of the form
y'' + p(x)y' + q(x)y = 0
is a combination of two linearly independent functions, often represented by y = c1y1(x) + c2y2(x), where c1 and c2 are arbitrary constants and y1(x) and y2(x) are two linearly independent solutions of the differential equation.
The general solution represents the most general form of the solution that takes into account all possible solutions, including all arbitrary constants. To find a specific solution, one must apply initial or boundary conditions to determine the values of the arbitrary constants.
Step-by-step explanation:
For 100 hundred points just tell me what needs to go into the circles if you know the answer thats better
The solution is, the value of lengths are x & 4.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
here, we have,
from the given figure we get,
area = 5x+20
where, two rectangles are with areas 5x & 20
now, from the diagram we have,
the area as product = 5 ( x+ 4)
so, we get,
1st rectangle , length = 5,
area = 5x
so, width = x ,
again. 2nd rectangle, length = 5
area = 20
so. width = 4
Hence, The solution is, the value of lengths are x & 4.
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HELP ME PLEASE, AND SHOW THE GRAPHING
Write a function rule that represents the relationship between x and f(x).
Then graph the function rule.
1. Input
X
0
3
6
Output
f(x)
6
9
12
2.
Input
X
0
1
2
Output
f(x)
-3
-2
-1
3.
Input
X
1
2
3
Output
f(x)
4
6
8
Answer:
Step-by-step explanation:
To find the function rule for the relationship between x and f(x), we can perform a linear regression analysis on the given data points. This can be done using a spreadsheet software or a statistical software. One way to do this is to use the equation of a straight line, which is y = mx + b, where y is the output (f(x)), x is the input, m is the slope, and b is the y-intercept.
The slope m can be calculated as:
m = (Δy / Δx) = (f(x2) - f(x1)) / (x2 - x1) = (9 - 6) / (3 - 0) = 3
The y-intercept b can be calculated as:
b = f(x) - mx = 6 - 3x
So the function rule is:
f(x) = 3x + 6
To graph the function, we can plot the given data points and then draw a straight line that passes through those points. The graph of the function should look like this:
[!graph of f(x) = 3x + 6]
The function rule for the relationship between x and f(x) can be found using a similar process. Using the given data points, we can calculate the slope and y-intercept:
m = (Δy / Δx) = (f(x2) - f(x1)) / (x2 - x1) = (-2 - (-3)) / (1 - 0) = 1
b = f(x) - mx = -3 - x
So the function rule is:
f(x) = x - 3
The graph of the function should look like this:
[!graph of f(x) = x - 3]
For the third example, we can find the function rule using a similar process:
m = (Δy / Δx) = (f(x2) - f(x1)) / (x2 - x1) = (6 - 4) / (2 - 1) = 2
b = f(x) - mx = 4 - 2x
So the function rule is:
f(x) = 2x + 4
The graph of the function should look like this:
[!graph of f(x) = 2x + 4]
Explain why 2 is NOT a solution of x 7 5
Based on the information provided, 2 is not a solution of x>5 because a possible solution requires a number greater than 5.
How to solve inequality?Inequalities include symbols such as >, ≤, ≥, among others that should be interpreted correctly to solve the inequality. In this case, the symbol in the inequality is >, which means greater than. Based on this, the value of x should be greater than 5, for example, 7, 19, 2948, etc.
Therefore, 2 is not a solution to the inequality x>5 because a number greater than 5 rather than less than 5 is required to solve this expression.
Note: This question is incorrect and incomplete; here is the complete question:
Explain why 2 is NOT a solution of x>5
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Which equation represents a vertical compression by 1/4, horizontal shift right 3 and a vertical shift up 7?
The equation that represents the transformation is y = (1/4)f(x-3) + 7
Hwo to determine the equationFrom the question, we have the following parameters that can be used in our computation:
vertical compression by 1/4, horizontal shift right 3vertical shift up 7This equation applies the following transformations to the graph of y = f(x):
A vertical compression by 1/4: multiplying the output (y-value) by 1/4 scales the graph down vertically by a factor of 1/4.A horizontal shift right by 3: subtracting 3 from the input (x-value) shifts the graph right by 3 units.A vertical shift up by 7: adding 7 to the output (y-value) shifts the graph up by 7 units.Read more about transformation at
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The picture below shows the graph of which inequality?
The graph shows the inequality x² ≤ 16
How find the inequality for the graph?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.
Inequalities are often used to describe conditions or constraints in real-world problems.
You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:
x² ≤ 16
x ≤ ±√16
x ≤ ±4
x ≤ -4 or x ≤ 4
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