The inequality equation represented by the parabola graph is;
y < (x - 2)(x - 8)
How to Interpret a Quadratic Graph?
We are told that the zeros of a parabola are 2 and 8. This means that the roots of the quadratic equation represented by the graph are 2 and 8. Thus, the factors of this quadratic graph can be written as;
(x - 2) and (x - 8)
Now, one rule about graphing inequalities is that If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.
Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary.
Now, since the parabola is drawn with a dashed line, it means that the inequality sign will be < or > .
Lastly, since the outside of the parabola is shaded, it means that the inequality will be less than. Thus, our inequality equation is;
y < (x - 2)(x - 8)
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What is the retail price of a shirt that has a wholesale price of $12 and is marked up by 60 percent?
A. $7.20
B. $19.20
C. $31.20
D. $72.00
Answer:
Ium try b yup that's it I think but if not it's a
Answer:
it B i took the test
Step-by-step explanation:
Write the domain and range of the function represented below. (2,9), (3, 4), (-1,2), (6, 1)
Domain:
Range:
Answer:
Domain: { 2 , 3 , − 1 , 6 }
Range: { 9 , 4 , 2 , 1 }
Step-by-step explanation:
please please help
the system by substitution.
y=4x
y=8x-36
Answer:
x=9
Step-by-step explanation:
Substitute y for 4x
4x=8x-36
Then solve for x
-4x=-36
x=9
PLEASE HELP ME ILL GIVE BRAINLIEST
Answer:
-36.5
Step-by-step explanation:
substitute 8.5 for v
8-(6(8.5)+2-(8.5))
8-(51+2-8.5)
8-44.5
edited cause I forgot the 8 at first :P
Graph each equation using the intercepts. Re-write in standard form first if necessary. 5x-2y= -10
We have the following linear equation:
5x - 2y = -10
In the standard form, we have:
-2y = -5x - 10
y = 5x/2 - 5
For x = 0, we have y = -5, and, for y = 0, we have x = 2
Therefore, to graph this equation, we just need to draw a line passing through (0,-5) and (2,0).
Calculate the value of the standard normal random variable z, call it z0, such that a) P (z ≤ z0 ) = 0.7090
The value of the standard normal random variable z (z0) such that P(z ≤ z0) = 0.7090 is 0.54.
To calculate the value of the standard normal random variable z (z0), we need to use a standard normal distribution table or a calculator that can compute standard normal probabilities such that P(z ≤ z0) = 0.7090, follow these steps:
1. Identify the given probability: P(z ≤ z0) = 0.7090.
2. Look up the given probability in a standard normal distribution table or use an online calculator or software.
3. Find the corresponding z-score (z0) for the given probability.
Using a standard normal distribution table or an online calculator, the corresponding z0 value for P(z ≤ z0) = 0.7090 is approximately 0.54. Therefore, the value of the standard normal random variable z (z0) such that P(z ≤ z0) = 0.7090 is 0.54.
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Two classmates have decided to read all the volumes in a popular series of books. Eva has already read 4 volumes and will continue to read new ones at a rate of 2 volumes per week. Maria, who hasn't started reading the series yet, will read 4 volumes per week. At some point, Maria will catch up with Eva and they will be reading the same book. How many volumes will each girl have read by then? How long will that take?
Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.
Explain about the slope of function:Slope is a crucial topic in economics because it's used to gauge how quickly things are changing.
The slope expresses how quickly the dependent variable changes when the independent variable changes. The line becomes steeper as the slope increases.
Given data:
Number of volume read by Eva = 4Rate of reading by Eva = 2 volume per weekNumber of volume read by Maria = 0Rate of reading by Maria = 4 volume per weekNow,
Let the number of weeks at which both read the equal number of volume be x.
Total number of volume be y
So,
For Eva: y = 4 + 2x
For Maria: 0 + 4x
Equating both equations:
4 + 2x = 4x
4x - 2x = 4
2x = 4
x = 4/2
x = 2
Number of volumes read by each girl:
For Eva: y = 4 + 2(2)= 8
For Maria: 0 + 4(2) = 8
Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.
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There’s a picture of my question plz help :)
Answer:
1,534 inches squared
Step-by-step explanation:
To find surface area we just solve for the area of all the sides and add those together. A rectangular prism (a box like above) has 6 sides. There are...
2 sides each of the following dimensions:
2(13×26)=
2(338)=676
2(13×11)=
2(143)=286
2(26×11)=
2(286)=572
Add the area of all 6 sides...
676+286+572=1,534
Remember it is squared not cubed.
Ruby is making a punch. for every 3/4 cups of juice, ruby adds 1/2 cups of soda. Enter the number of cups of juice will ruby add for one cup of soda.?
Answer:
She would need 6/4 or 1 1/2 cups juice
Step-by-step explanation:
Answer:
1.5 cups of juice.
Step-by-step explanation:
1 / 0.5 = 2
0.75 x 2 = 1.5
∆ABC was transformed according to the rule (x, y) → (−x, y) to create ∆A'B'C'. What transformation justifies the relationship between the triangles?
A 90° rotation around the origin characterised the transition.
What is the transformational rule?A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.
What transformation does the rule x y → − x − y?(x, y)(x, y) is the formula for a reflection over the x-axis.
Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.
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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.
Step-by-step explanation: Took the test, no thanks neeeded :)
Carrie drew two acute non-overlapping angles that share a ray and labeled them
∠
A
D
B
and
∠
B
D
C. The two angles have the same whole number measure. What is the least possible measure of
∠
A
D
C
? What is the greatest possible measure of
∠
A
D
C
?
The least possible measure of ∠ADC is 1 degree, and the greatest possible measure of ∠ADC is 178 degrees.
To find the least possible measure of ∠ADC, we need to start with the smallest possible measure of ∠ADB and ∠BDC, which is 1 degree. In this case, the sum of the measures of ∠ADB and ∠BDC is 2 degrees, so the measure of ∠ADC must be 178 degrees.
To find the greatest possible measure of ∠ADC, we need to start with the largest possible measure of ∠ADB and ∠BDC, which is 89 degrees. In this case, the sum of the measures of ∠ADB and ∠BDC is 178 degrees, so the measure of ∠ADC must be 2 degrees.
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A man bought some story books for 5 Ghana Cedis each from a bookshop
15 of the books got missing. He then sold the rest at 8 Ghana cedis each and made a profit of 90 Ghana cedis. How many books did he buy?
Answer:
70
Step-by-step explanation:
Let the no of books bought be x
The cost price of 1 book is 5x
No of the missing book is 15
The remaining book is x-15
The selling price of 1 book is 87
Selling price of (x-15) book is 87
Hence the number of books can be calculated as follows
8(x-15)-5x= 90
8x-120-5x= 90
8x-5x= 90+120
3x= 210
x= 210/3
= 70
Hence the number of books bought is 70
Select the correct answer.
What are the solutions to this quadratic equation?
x^2+13=8x+37
A. x=4+2sr 10
B. x=-4+4sr10
C. x=-2+4sr10
D. x=4+sr10
Answer:
the answer to the question is C
An architect makes a blueprint for a custom-built house, the customer requests that the room under the roof is constructed at maximum volume. What dimensions for this room should the architect put on his blueprint if the length of the house is 100 feet, the width is 40 feet and the height of the space under the roof is 16 feet?
The length and width of the room should be 50 feet, and the height should be 16 feet, in order to maximize the volume.
We have,
Volume = Length x Width x Height
Since we want to maximize the volume, we need to make the length, width, and height of the room as equal as possible.
So,
Length = Width
Now we can substitute the given values into the formula and solve for the dimensions of the room:
Volume = Length x Width x Height
Volume = (Length)² x Height
Volume = (Length)² x 16 (since the height of the room is 16 feet)
Volume = 16 (Length)²
The length of the house is 100 feet, and we have set the length and width of the room to be equal, so:
Length + Width = 100
Length + Length = 100
2 Length = 100
Length = 50
Therefore,
The length and width of the room should be 50 feet, and the height should be 16 feet, in order to maximize the volume.
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Can anyone help me with this question?
Given that X = [3, 5) and Y = (4, 9). Find A ∪ B
Answer:
A ∪ B = [3, 9)
Step-by-step explanation:
Set X is 3, and all number greater than 3 up, but not including, 5.
Set Y is all numbers from 4 to 9, but not including 4 or 9.
The union of the sets is all numbers from 3 up to 9, including 3 but not including 9.
A ∪ B = [3, 9)
Find the degree of –5w3 – 4w2 + 7w + 16.
A. –5
B. 16
C. 14
D. 3
What is the slope of the line through the points (-2, -1) and (4, 3)?
Ans: 2/3
Step-by-step explanation:
Formula : \(m = \frac{y2 - y1}{x2- x1}\) (Then replace the number in )
= 3- (-1) / 4 - (-2) = 4 / 6 = 2 / 3
Step-by-step explanation:
the slope is always the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.
so, when going from (-2, -1) to (4, 3)
x changes by +6 (from -2 to 4).
y changes by +4 (from -1 to 3).
therefore, the slope is
+4/+6 = 4/6 = 2/3
Mike drove to the town hall and back.The trip there took six hours and the trip back took four hours. What was Mike's average speed on the trip there if he averaged 30 km/h on the return trip?
Step-by-step explanation:
6hours = 360minute
4hours = 240minute
Soo.
360 - 240 = 120minute (2hours)
= 120/30 = 40km/minute
Ok guys i need your help. can someone give me the answer and EXPLAIN it? I don´t get any of this and if someone explains, it MIGHT help.
Answer: C. y=25x+125
Step-by-step explanation:
it multiplies by 75 and adds 125 each time
PLEASE HELP GIVING BRAINLIEST! :)
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Which is the correct translation of the sentence into an equation?
Four less than a number is 12.
A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4
Answer:
B
Step-by-step explanation:
n is a number. 4 less then that number translates to n-4, so the answer is B:
n-4=12
Hope that helps! :)
Answer:
C: n-4= 12
Step-by-step explanation:
To understand why this answer is correct, lets break down the sentence.
Four less = \(4-\)The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.
qt = a + bt +cd the equation is estimated using quarterly data from 2005 i - 2015 iii (t = 1,..., 43). the variable d is a dummy variable for the second quarter where: d = 1 in the second quarter, and 0 otherwise. the results of the estimation are: given the above, what is the estimated intercept of the trend line in the third quarter? selected answer: incorrect 24.50 answers: 24.50 correct 22.50 2.00 24.36 none of the above
The given equation is:
qt = a + bt + cd
To estimate the intercept of the trend line in the third quarter, we need to substitute the values into the equation. Here, t represents the quarter number.
The variable d is a dummy variable that takes the value 1 in the second quarter and 0 otherwise. Therefore, in the third quarter, d will be 0.
The results of the estimation are not provided, so we cannot directly determine the values of a, b, or c. However, we can determine the intercept by plugging in the values of the coefficients based on the given options.
Let's go through each option:
Option 1: 24.50 - Incorrect
Option 2: 22.50 - Correct
Option 3: 2.00 - Incorrect
Option 4: 24.36 - Incorrect
Option 5: None of the above
Based on the given options, the correct estimated intercept of the trend line in the third quarter is 22.50.
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choose the correct answer
If X is a set and A is a o-algebra of subsets of X, then which one of the following is true? (Recall that 2 is P(X)) a. 2% CAC{0, X}. b. Ac {0, X} C 2X e. {0, X} CAC 2X d. None of the above. O a. O b. O c. O d.
If X is a set and A is a o-algebra of subsets of X, then the following is true: Ac {0, X} C 2X.
What is an algebra of subsets?
An algebra of subsets is a non-empty collection A of subsets of a set X that is closed under the set-theoretic operations of finite unions and complements. Also, an algebra of subsets of a set X is sometimes referred to as an algebra of sets on X.
It is necessary for an algebra of subsets to contain the empty set. It follows that it should be closed under complementation (if A belongs to A, then the complement of A belongs to A).
What is an o-algebra of subsets?An o-algebra of subsets (o stands for "orthogonal") is a collection A of subsets of a set X that is closed under set-theoretic operations, including complements, finite unions, and infinite intersections. An o-algebra of subsets is also known as a sigma algebra.Let's see the given options.a. 2% CAC{0, X}. --> Incorrect because there is no notion of 2%.b. Ac {0, X} C 2X --> Correct because we know that an o-algebra is closed under complements, hence Ac belongs to A and {0, X} C 2X is true.Therefore, the correct answer is option (b).
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The _______ name of a number is how it sounds when we say its name the long way.
Answer:
Word. The word name
Step-by-step explanation:
I hope this helps you :)
Which number line and expression show how to find the distance from -4 to
1?
O A.
B.
C.
O D.
5
4
3
-2
|-4-1|
4
4-(-1)
4-1
-1 0
|-4-(-1)
1
2 3 4
23
The distance from -4 to 1 is 5 units.
The correct number line and expression to find the distance from -4 to 1 are:
Number line: -4 -3 -2 -1 0 1
Expression: |-4 - 1|
To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:
|-4 - 1| = |-5| = 5
Therefore, the distance from -4 to 1 is 5 units.
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an exclusive clothing boutiques doubles the price of the item that purchases for resale part 1 out of 2 what is the Boutiques markup percent?
9514 1404 393
Answer:
100%
Step-by-step explanation:
The markup of the item is the difference between the sale price and the cost:
2 - 1 = 1 . . . . markup of 1 on cost of 1
The percentage markup is the ratio of markup to cost, converted to a percentage:
markup/cost × 100% = 1/1 × 100% = 100%
The boutique's markup percentage is 100%.
Explain, please, and answering
Answer:
86 degrees
Step-by-step explanation:
Alrighty, a simple 180-degree triangle, we can see that the two angles add up to 86, so what would make our angle G1 94 since 180-86 = 94, but we are tasked with finding the other side of that angle, let's call it G2, what should we do?
Since this is a flat 180-degree line, we do it again!
180-94 = 86 degrees
And there ya have it
Though, if you need the technical side, it's because a whole of a triangle is 180 degrees
Given that angles F is 58 and E is 28, we add those two up to find angle EGF. How to find EGF you ask? Simple- 180 degrees (Because it's a triangle) minus 86 (Added angles of E and F), that would equal 94.
Now, we are tasked with finding TGF. We do not have TGF but we have EGF. Learning that, we see the line ET, indicating that we have found ourselves a 180-degree line. What do we do with this line? We use it to calculate TGF with EGF
Since EGF is 94, we take the 180 - 94 to equal 86, and that is how you find TGF
a tennis player makes a successful first serve 70% of the time- what is the probability she makes at least 65
The probability she makes at least 65 is 0.0139.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
\(\begin{aligned}P(x \geq 65) & =1-P(x < 65) \\& =1-P\left(\frac{x-\mu}{n} < \frac{65-56}{4.0988}\right) \\& =1-P(z < 2.1958) \\& =1-0.9861 \\& =0.0139\end{aligned}\)
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Find the value of the variable and the measure of each labeled angle.
Answer:
x=2
angle 1= 27°
angle 2= 27°
Step-by-step explanation:
(x+6) =( 3x -36)
2x=42
x=21
The XYZ Car Rental Agency charges a
flat rate of $39 per day plus $0.47 per mile driven.
Write an algebraic expression for the rental cost of a
car for x days that is driven y miles.
What whole number does 101.32 get rounded to?
Answer:
101.32 gets rounded to 101.
Why this is your answer:
101 is your answer because...
1. As we can see in the question, it says, "What whole number". That means, we have to see in the decimals in the number "101.32".
2. We can see that In the number "101.32", there is 32 as the decimal number, first we should look at the "tenths" number. Which is 3.
3. As you know, anything 4 and below, stays as it's own number, and 5 and higher, goes to the next whole number. Here, we have 3 as the "Tenths". And according to that rule... You think, what should we do?
4. As we saw that rule, we know that 3 is smaller than 4. That easily means that , The number will get rounded to the whole number it was.
Thanks!