Answer:
[tex]y = 2 {(x + 2)}^{2} + 62[/tex]
Step-by-step explanation:
vertex form is
[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]
our original equation
[tex]2 {x}^{2} + 8x + 70[/tex]
first we will find the x value using the formula
[tex]x = - \frac{b}{2a} \\ - \frac{8}{2(2)} = - \frac{8}{4} = - 2 \\ x = - 2 = h[/tex]
plug the value of x back into the original equation to solve for y
[tex]y = 2 {x}^{2} + 8x + 70 \\ y = 2 ({ - 2}^{2} ) + 8( - 2) + 70 \\ y = 2(4) - 16 + 70 \\ y = 8 - 16 + 70 \\ y = 78 - 16 \\ y = 62 = k[/tex]
substitute this back into our vertex form and not forgetting the coefficient a = 2
[tex]y = 2 {(x - ( -2))}^{2} + 62 \\ y = 2 {(x + 2)}^{2} + 62[/tex]
ABCD is a trapezium and D to C is 13 mm ,C to B 9 mm and D to A is 12 mm find A to B
Answer:
12 mmm
Step-by-step explanation:
Goo answer it Go Go GoWhat is an equation of the line that passes through the points (8,−5) and (8,−2)?
Answer:
try x=8
Step-by-step explanation:
Here is the histogram of a data distribution.
4
3
2
1
5 6 7 8
9
10
What is the shape of this distribution?
A. Bimodal symmetric
B. Bimodal skewed
Ο Ο Ο Ο Ο
C. Unimodal symmetric
D. Unimodal skewed
E. Uniform
Answer:
Uniform
Step-by-step explanation:
The shape of the given histogram is uniform.
Option E is the correct answer.
We have,
A uniform histogram is a type of histogram where all the bars have approximately the same height, indicating that the data is evenly distributed across the range of values.
In other words, the frequency of occurrence for each value or interval is roughly the same.
For example, consider the following data set of 20 numbers:
{4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}
If we create a histogram of this data set with five bars, each representing a range of four values (e.g., 4-7, 8-11, etc.), we would expect to see a uniform histogram with approximately the same height for each bar.
This indicates that the data is evenly distributed across the range of values.
Uniform histograms are useful for visualizing data that is evenly distributed or to identify outliers that are not consistent with the rest of the data. However, in some cases, a uniform histogram may not accurately represent the underlying distribution of the data, especially if there are gaps or clusters of data within certain ranges.
In such cases, other types of histograms or statistical methods may be more appropriate.
Thus,
The shape of the given histogram is uniform.
Learn more about histograms here:
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Please help!!!
Which table represents a linear function?
Answer:
it should be D
Step-by-step explanation:
Can abort help me with this math question the right answers
Answer:
pretty sure its D. 1.6 x 10^9
Use this information to answer parts A, B, C, and D.
A 5-pound bag of carrots costs $2.69, and a 2-pound bag costs $1.89.
A) Which bag provides a greater weight per dollar spent?
B) How much does 10 pounds of carrots cost when purchasing 5-pound bags?
C) How much does 10 pounds of carrots cost when purchasing 2-pound bags?
D) What is the difference in price between each option when purchasing 10 pounds of carrots?
Answer:
A) la que cuesta $1.89
B)$5.68
C)$5.68
Step-by-step explanation:
The movie began at 7:30 and lasted 90 minutes at what time did the movie end?
Answer:
9:00
Step-by-step explanation:
hope this helps
Which is the correct label of the parallel lines? Parallel lines a and b are shown. Points A and B lie on line a while points C and D lie on line b. The letters a and b are separated by two vertical lines. There is a horizontal line with arrows on either end over the letters A A. There is another horizontal line with arrows on either end over the letters C B. A vertical line with a horizontal line intersecting it at the bottom separates the two pairs. There is a horizontal line over the letter A with one arrow on the right end. There is a horizontal line over the letter B with one arrow on the right end. The letters are separated by two vertical lines. There is a horizontal line with arrows on either end over the letters A B. There is another horizontal line with arrows on either end over the letters C D. A vertical line with a horizontal line intersecting it at the bottom separates the two pairs.
Answer:
b
Step-by-step explanation:
right
a || b will be the correct label for the parallel line so option (A) will be correct.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.
Parallel lines are those lines in which slopes are the same and the distance between them remains constant.
Given the two lines a and b as parallel.
If we want to show any two lines as parallel then we use |the | sign in between them.
Now in the given figure, A B C D are points on lines a and b so they will not be used to show parallel lines.
Hence "a || b will be the correct label for the parallel line".
To learn more about parallel lines;
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The given question is missing graph the graph shown below,
My friend need urgent help!
Answer:
4
Step-by-step explanation:
Divide each value of y by the corresponding value of x.
20/5 = 4
40/10 = 4
80/20 = 4
200/50 = 4
All quotients are 4.
Answer: 4
3. What is the prime factorization of 80? Use the factor tree method.
Answer:
80
2 40
2 2 20
2 2 2 2 10
2 2 2 2 2 5,
2^5*5
Brainliest please
the original equation is this:
f(x)= x squared - 5x + 8
what value(s) of x results in f(x) = 8?
i will mark the correct answer brainliest!!
Answer:
x=0, x=5
Step-by-step explanation:
x²-5x+8=8
x²-5x=0
x(x-5)=0
x=0 , x-5=0
x=5
It costs 4.99 for 2lbs of bacon and 6.99 for 5lbs of bacon.which is a better buy?
Answer:
The 5lbs is a better buy
Step-by-step explanation:
Find the price per pound:
4.99/2= $2.49
6.99/5= $1.39
f (x) = -8x - 8 and g(x) = x + 1 (f/g)(x)
-8
Step-by-step explanation:
(f/g)(x)
= f(x)/g(x)
= (-8x - 8)/(x + 1)
= -8(x + 1)/(x + 1)
= -8
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Step-by-step explanation:
give me brainly lsssssss
I will brainlist who can answer this 5 Questions!
A b c Choices!
1. a
2. a
3. c
4. a
5. d
For slope-intercept form, solve the equation for y.
For standard form, solve the equation for the constant and keep x and y on the same side.
Ex) 3x - 2y = -3
-2y = -3x - 3
y = -3x/-2 - 3/-2
y=3x/2 + 3/2
Emily made fruit punch for a party. She used 2/6 of a cup of grape juice. 3/6 of a cup of strawberry juice. and 4/6 of a cup of pop. How much fruit punch did she make?
Answer:
She made 1 1/2 cup of fruit punch.
Step-by-step explanation:
2/6 + 3/6 + 4/6 = 9/6
= 1 3/6 = 1 1/2
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!!
Answer:
a. 35 people participated in the walk.
b. About 16 people traveled more than 14 kilometers.
Step-by-step explanation:
(Warning: This may be wrong)
In the following diagram lines m are n parallel the measures of AEB, BAE and CED are shown what is the measure of EBF
Answer:
∠ EBF = 98°
Step-by-step explanation:
(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then
3x - 15 = 2x + 10 ( subtract 2x from both sides )
x - 15 = 10 ( add 15 to both sides )
x = 25
3x - 15 = 3(25) - 15 = 75 - 15 = 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBF is an exterior angle of the triangle , then
∠ EBF = 60° + 38° = 98°
plsssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
73 + 75
l=11 w=17
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!
-10+(-5)=? Plsss I need help
Answer:
+5 mhfbtvdexvjuvtddhdrm
what two numbers have a sum of 4 and product of 12
Answer:
6 and 2 this is the answer my child.
On a particular day, an airliner has 150 flights arrive early, 500 flights arrive on time, and 75 flights arrive late. What is the experimental probability that a flight will not be late?
a. 75/725
b. 75/650
c. 500/650
d. 650/725
Answer:
[tex]650/725[/tex]
Step-by-step explanation:
The probability a flight will not be late is (flights that are not late)/(total flights).
If you're early or on time, you're not late. So, the probability is [tex](150+500)/(150+500+75)=\boxed{650/725}[/tex]
Answer:
D. 650/725
Step-by-step explanation:
D is the correct answer
Solve for the variable -8 p -4p = -12
A. 9 B. 1 C. -11 D. -3
Answer:
B. p = 1Step-by-step explanation:
[tex] - 8p - 4p = - 12 \\ - 12p = - 12 \\ p = \frac{ - 12}{ - 12} \\ p = 1 \\ [/tex]
Which of the following statements is not true?
Creo que es la A
prueba a traducirla i luego buscalo cual es la repuesta
En tu cuaderno resuelve las multiplicaciones usando el procedimientos diferentes en cada caso describe en qué consiste
Answer:
dos
Step-by-step explanation:
(a) Using Geometry Vocabulary, describe a sequence of transformations that maps
figure X onto figure Y.
(b) Write the Transformation Mapping Rule(s) for the sequence you described in part
(a).
Answer:
Translate figure X [tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right][/tex], reflect figure X in the y-axis to give figure Y.
Step-by-step explanation:
It is very clear that shape X is being reflected in the y-axis to give shape Y. However, when reflecting shape X, it doesn't perfectly align with Y (it is off by 1 square).
So, we need to move shape X by 1 square so that when reflected in y-axis, it will align perfectly with shape Y. We can do this using a translation. We can see that if we move shape X one square to the right and no squares up or down, it will be reflected to give shape Y in the y-axis.
This leaves us with the column vector [tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right][/tex]. And our final step is to write about the reflection that we identified earlier.
So the final answer is : Translate figure X [tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right][/tex], reflect figure X in the y-axis to give figure Y.
HELP ASAP PLEASE 100 POINTS GIVEN!!!!!!!!
Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 850 points. The number of two-point field goals that Lindsey made was 57 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 41 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season.
Given that :
Total point = 867
Let :
number of 3 point goals = p
Number of 2 point goals = 2p - 66
Number of 1 point goals = (2p - 66) - 36 = 2p - 102
Hence,
3p + 2(2p - 66) + 2p - 102 = 867
3p + 4p - 132 + 2p - 102 = 867
3p + 4p + 2p - 234 = 867
9p - 234 = 867
9p = 867 + 234
9p = 1101
p = 122.33
2 pointer = 2p - 66
2(122.33) - 66 = 178.67
1 point = 2p - 102
2(122.33) - 102
= 142.67
Given that :
Total point = 867
Let :
number of 3 point goals = p
Number of 2 point goals = 2p - 66
Number of 1 point goals = (2p - 66) - 36 = 2p - 102
Hence,
3p + 2(2p - 66) + 2p - 102 = 867
3p + 4p - 132 + 2p - 102 = 867
3p + 4p + 2p - 234 = 867
9p - 234 = 867
9p = 867 + 234
9p = 1101
p = 122.33
2 pointer = 2p - 66
2(122.33) - 66 = 178.67
1 point = 2p - 102
2(122.33) - 102
= 142.67
A project calls for three pieces of wood. The longest piece must be twice the length
of the middle-sized piece. The shortest piece must be 10 in. shorter than the middle-
sized piece. If a board 70 in. long is to be used, how long can each piece be?
Answer:
70,35,25
Step-by-step explanation:
Let longest piece = a = 70
Let medium piece = b = 35
Let shortest piece = c = 25
a=2b
70=2b
35=b
c+10=b
c+10=35
c=25
how many cubes are colored on one side when there are 729 cubes that form a 9 x 9 x9 cube
Answer:
9x9x9
9x9=81
81x9=729
The answer is 729.