Erik transformed the equation y = 2(x − 2)^2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error.
y = 2(x − 2)^2 + 5
y = 2(x^2 − 4x + 4) + 5
y = 2x^2 − 8x + 8 + 5
y = 2x^2 − 8x + 13
A. No. The error is in the second line: the expanded form of (x − 2)^2 is x^2 − 4.
B. No. The error is in the third line: the product of 2 and x^2 − 4x + 4 is 2x^2 − 4x + 4.
C. No. The error is in the fourth line: the sum of 8 and 5 is 12.
D. Yes. Erik is correct in his transformation from vertex form to standard form.
Please help me and can you write an explanation too please.
Answer:
[tex]\Huge\boxed{x=29}[/tex]
Step-by-step explanation:
Hello There!
Once again the angles shown are supplementary angles meaning that the sum of the measure is equal to 180
so we use this equation to solve for x
180 = x + 4x + 35
step 1 combine like terms
x + 4x = 5x
now we have 180=5x+35
step 2 subtract 35 from each side
180 - 35 = 145
35 -35 cancels out
now we have 145 = 5x
step 3 divide each side by 5
5x/5=x
145/5=29
we're left with x = 29
Answer:
(×+35)+4×=180°[sum of angles in a str. line ]
5×=180-35
5×=145
5x/5=145/5
x=29
Find the surface area of the square pyramid.
The surface area is square inches.
Answer:
12in
Step-by-step explanation:
Answer:
area of the square pyramid=a²+2al
=5²+(2×5×7)
=25+70
=95in²
Will the graph of y = (7.25x)^2 be stretched or compressed horizontally or vertically when compared to the parent function y = x^2?
A. Because |b| < 1, the graph will be compressed vertically.
B. Because |b| < 1, the graph will be compressed horizontally.
C. Because |b| > 1, the graph will be compressed vertically.
D. Because |b| > 1, the graph will be compressed horizontally.
The correct statement is,
⇒ Because |b| > 1, the graph will be compressed horizontally.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Parent function is,
⇒ y = x²
And, Function is,
⇒ y = (7.25x)²
Now, The value of b = 7.25 is greater than 1.
Hence, the graph of y = (7.25x)² be compressed horizontally.
Thus, The correct statement is,
⇒ Because |b| > 1, the graph will be compressed horizontally.
Learn more about the function visit:
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A map of a highway has a scale of 2 inches =39 miles. The length of the highway on the map is 6 inches. There are 11 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch =30 miles. How far apart are the rest stops on the new map?
0.45 inches apart .................................
At West Painting, they get about three calls a day asking for an estimate of the cost for having the interior of a house painted. To write up an estimate for the cost of a job, they need to know how much paint a job will take. If they average painting 3/4 of a room with 2/5 of a gallon of paint, then they can paint, on average,
rooms per gallon.
[tex]ok \: so \: i \: hope \: it \: helps.[/tex]
10d + 20 = 100 pls answer quick
Let's solve your equation step-by-step.
10d+20=100
Step 1: Subtract 20 from both sides.
10d+20−20=100−20
10d=80
Step 2: Divide both sides by 10.
10d
/10= 80/10
so d= 80
forgot the zero
Can someone help me with this exempalar? The requirements for this are...
What I need to find (I did it so you do not need to do it)
My plan (what to do like multiply or divide)
Solution (your work)
Answer and explanation (answer it and explain)
That’s all! Thank you for helping :)
Answer:
I will: Multiply 32 times 20 to get the total cost of the foods and tickets. Then I will add the total cost of the tickets and the total cost of the bus to get the total cost of the trip. Lastly I will divide the total cost of the trip by 2 to find out how much money the class need to earn.
Solution: 32 • 20 = 640 + 900 = 1,540 ÷ 2 = 770
Answer: 770
50 males liked the veggie burger and 40 males liked the pizza so out of 90 males what percent liked the burgers?
Answer: 10%?????????????????????
Step-by-step explanation:
Evaluate all three please i don't know any of those :(
A soup can in the shape of a cylinder has a diameter of 7 centimeters and a height of 15 centimeters. Which measurement is closest to the lateral surface area of the can in square centimeters? I NEED THE ANSWER ASAP! AND THE REAL ANSWER!
Answer:
It woudld be A
Step-by-step explanation:
Answer:
D. 329.87 cm²
Step-by-step explanation:
The formula for the lateral surface area of a cylinder is 2π(radius)(height).
That would be:
2(π)3.5(15)
6.28318530518(52.5)
329.86722862693
Round that to 329.87 cm²
A. 577.27 cm²
B. 2,309.07 cm²
C. 406.84 cm²
D. 329.87 cm²
Good luck!!
In order for you to carry a bag on the plane, it must t inside the Carry-on Baggage Check Box. The Carry-on Baggage Check Box has dimensions of approximately 22" x 14" x 9". Your leather bag has a height of 18 inches, a depth of 12 inches, and a width of 8 inches. Your canvas bag has a height of 18 inches, a depth of 15 inches, and a width of 8 inches
What is the volume of the Carry-On Baggage check box?
What is the volume of the leather bag?
What is the volume of the canvas bag?
Which bag will definitely t into the Check box explain.
Answer:
In order for you to carry a bag on the plane, it must t inside the Carry-on Baggage Check Box. The Carry-on Baggage Check Box has dimensions of approximately 22" x 14" x 9".
The volume of the Carry-On Baggage check box is, 2772 inches³
The volume of the leather bag is, 1,728 inches³.
The volume of the canvas bag is, 2,160 inches³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The Carry-on Baggage Check Box has dimensions of approximately
22" x 14" x 9".
And, Your leather bag has a height of 18 inches, a depth of 12 inches, and a width of 8 inches.
And, Your canvas bag has a height of 18 inches, a depth of 15 inches, and a width of 8 inches.
Now, We get;
The volume of the Carry-On Baggage check box is,
Volume = 22 x 14 x 9
= 2772 inches³
And, The volume of the leather bag is,
Volume = 18 x 12 x 8
= 1,728 inches³
And, The volume of the canvas bag is,
Volume = 18 x 15 x 8
= 2,160 inches³
Thus, The volume of the Carry-On Baggage check box is, 2772 inches³
The volume of the leather bag is, 1,728 inches³.
The volume of the canvas bag is, 2,160 inches³
Learn more about the multiplication visit:
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how do I get the answer like you don't even have to tell me the answer just tell me how to get the answer
I need help, I am confused
3(r-2)=39
Step-by-step explanation:
3(r-2)=39
divide both side by 3
3/3 (r-2)=39/3
r-2=13
adding 2 on each side
r-2+2=13+2
r=15
your answer is r=15
NEED HELP REALLY BAD PLZ IT IS TURNED IN BY 1:30
Answer:
A) 5(5x - 2y)
Step-by-step explanation:
Divide common factors from both terms in the given expression. Note the factors of:
25: 1 , 5 , 25
10: 1 , 2 , 5 , 10
Find the largest common factor (5). Divide 5 from both terms:
(25x - 10y)/5 = 5x - 2y
5(5x - 2y) , or A) is your answer.
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Riggoletto’s Portraits specializes in making circular portraits of people. A large portrait is 78 in. in diameter. A medium portrait is 26 in. in diameter. Estimate the difference between the areas of the two sizes of portraits. Use 3.14 for . Round your answer to the nearest whole number.
Answer:
4245
I hope this answer helps!
4. Find the value of x.
What is the slope of the line that goes through the points (6, 4) and (8, -2)?
-6
-3
-1/3
3
Answer:
-3
Step-by-step explanation:
(6, 4) and (8, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=( -2 -4)/(8-6)
m = (-6)/2
m = -3
Answer:
-3
Step-by-step explanation:
(6, 4) and (8, -2)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-2 - 4) / (8 - 6)
Simplify the parentheses.
= (-6) / (2)
Simplify the fraction.
-6/2
= -3
This is your slope.
Hope this helps!
If F(x) = x² + 5x and G(x) = 2x + 1, find F(5) + G(6). 48 63 107
Answer:
63
Step-by-step explanation:
F(x) = x² + 5x
F(5) = (5)² + 5(5) = 25 + 25 = 50
G(x) = 2x + 1
G(6) = 2(6) + 1 = 12 + 1 = 13
F(5) + G(6) = 50 + 13 = 63
Answer:
63
Step-by-step explanation:
Thank u hope it helps..
mark me the brainliest please
Pls helppp 3 part question
Which box-and-whisker plot shows the high temperatures in Pittsburgh, Pennsylvania during the first two weeks of March: 33, 45, 42, 47, 35, 45, 41, 34, 44, 34, 48, 40, 43, 45
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size. What is the scale of the new drawing?
Answer:
Do not click the file people send, they are scammer and hackers and will set a virus if you download it, and i suggest mathpapa, symbolab, photomath, bartleby for this, to many scammers and hackers on brainly.
Step-by-step explanation:
In which of the following circles are the values of the area and circumference the same?
A-B:
a circle with a radius of 2 feet
a circle with a diameter of 2 feet
a circle with a radius of 4 feet
a circle with a diameter of 1 foot
Answer:
a circle with a radius of 2 feet
Step-by-step explanation:
2πr=πr²
r=2
PLS help ASAP this really urgent
Answer:
Skewed right.
Step-by-step explanation:
The graph is not symmetric because it's not an exact mirror of each side if you drew a line in the center. If the graph has highpoints on the left side and is leaning down to the right, it's skewed right. Same thing vice versa.
Help with this math question plz thx
Answer: 5/13
Step-by-step explanation:
If you add 3 + 8 + 2 = 13
And the probability of not getting a striped marble would be 5/13. Please rate 5 stars.
Answer:
(5 13)
Step-by-step explanation:
This is easy, So if you add 8+3+2=13
The last option is 8/13 because it knows that is answer if they did include 8 marbles but they are not so you add 3 and 2 which 5. You have 5 out of 13 chances!
Your Welcome! :)
So far this semester, Warren is averaging a score of 72 points on math tests, which is 20% lower than his average last semester. What was the average of his scores last semester?
Answer:
86.4
Step-by-step explanation:
72x.20= 14.4
72+14.4=86.4
I'm pretty sure this is right
Ty guys for helping me i need two more pls
Answer:
Step-by-step explanation:
No help me
PLEASE HELP GIVING BRAINLIST
Answer:
a = 6
b = 48
Step-by-step explanation:
3*2^1 = 6
3*2^4 = 48
Answer:
a. 6
b. 48
Step-by-step explanation:
It is cut off, but I believe the expression is 3 x 2^t
For a. plug in "1" for "t" so the expression would look like 3 x 2^1. 2^1 is just 2 and 3 x 2 is 6. Answer is 6.
For b. plug in "4" for "t" so the expression would look like 3 x 2^4. 2^4 is 16 and 16 x 3 is 48. Answer is 48.
For the data shown in the scatter plot below, which point is an outlier?
A. (1, 4)
B. (3, 3)
C. (4, 7)
D. (8, 7)
Pls answer ASAP
Data Set: 5, 8, 10, 10, 15, 18, 23. What is the upper quartile limit (Q3) of this data set? *
Answer:
15, 18, and 23
Answer:
Q₃ = 18
Step-by-step explanation:
The first step is to find the median
The median is the middle value of the data in ascending order.
5, 8, 10, 10, 15, 18, 23
↑ middle value
median = 10
The upper quartile Q₃ is the middle value of the data to the right of the median, that is
15, 18, 23
↑ middle value
Thus Q₃ = 18