Answer:
The coefficient of the squared expression in the parabola equation is [tex]a=4[/tex]
Step-by-step explanation:
The equation of a parabola in its vertex form is:
[tex]y = a(x-h) ^ 2 + k[/tex]
Where the vertex of the parabola is the point (h, k)
a is the ceoficiente of the term to the square.
We need to find the equation of a parabola that has its vertex in the point:
(-5, -2)
So:
[tex]h = -5\\\\k = -2[/tex]
Therefore the equation is:
[tex]y = a(x - (-5)) ^ 2 -2\\\\y = a(x + 5) ^ 2 -2[/tex]
We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola
[tex](2) = a((-4) + 5) ^ 2 -2\\\\2 = a(1) ^ 2 -2\\\\2 = a -2\\\\a = 4[/tex]
Finally the coefficient is a = 4
Answer:
The answer is 4
Step-by-step explanation:
This is the correct answer
Find the range of f(x) =2x-6 for the domain (-2,1,5,8)
Answer: range: (-10,-4,4,10)
Step-by-step explanation: range is y value and domain is x value
f(x) will be ur y
in place of x put the value of domain
example:
f(x) =2x-6y=2(-2)-6
= -10
2) y=2[1]-6
= -4
like that do the rest of the working to find ur range.
Answer:
the range is : (-10,-4,4,10)
Step-by-step explanation:
calculate :
f(-2) = 2(-2) -6 = -10
f(1) = 2(1) -6 = -4
f(5) = 2(5) -6 = 4
f(8) = 2(8) -6 = 10
the range is : (-10,-4,4,10)
Which is a function of x?
can you put up a picture then I may be able to help
Answer:
Variable
Step-by-step explanation:
x is a variable or a multiplication sign
63. Grace bought a dress, d, that was 45% off the regular price, r.
A Write an equation that represents this situation.
B The price of the dress before the 45% discount was $85.00.
After the discount, a 9% sales tax was added to the final sale
price. Calculate the final cost of Grace's desk. Show how you
found your answer.
A.
r - (r x .45) = d (The discounted price of the dress.)
B.
85 - (85 x .45) = 46.75
Now to find the final cost.
46.75 + (46.75 x .09) ~ 50.96
The final price is $50.96.
Hope this helps!
If it does, it would help a lot if you make me brainliest.
Look at the steps used when solving 4(x−3) = 8
Which step is the result of combining like terms?
step 2 i believe is the answer
Answer:
Step 2
Step-by-step explanation:
math help here please
Answer:
the answer is D. It does not have enough information
What is the largest of three consecutive positive integers if the product of the two smallest is equal to 2 more than 8 times the longest.
Answer:
11Step-by-step explanation:
n, n + 1, n + 2 - three consecutive integers
The equation:
n(n + 1) = 8(n + 2) + 2 ust the distributive property
n² + n = 8n + 16 + 2
n² + n = 8n + 18 subtract 8n from both sides
n² - 7n = 18 subtract 18 from both sides
n² - 7n - 18 = 0
n² - 9n + 2n - 18 = 0
n(n - 9) + 2(n - 9) = 0
(n - 9)(n + 2) = 0 ⇔ n - 9 = 0 or n + 2 =0
n - 9 = 0 add 9 to both sides
n = 9
n + 2 = 0 subtract 2 from both sides
n = -2 < 0
n + 2 = 9 + 2 = 11
Determine whether the given lengths can be sides of a triangle. HELLLLP MEEEEE GUYS ;)))
Answer:
A, both can be sides of a triangle
Step-by-step explanation:
you add up the lowest side lengths and see if they are more than the largest side lengthif they are then they can be side lengthsAnswer:
B
Step-by-step explanation:
7^2=49 40^2=1600 1600+49=1649 is not equal to 41^2 so its not a right triangle
12/4=3 16/4=4 20/4=5 3,4,5 is one of the combinations of a right triangle
What does it take to get some Brainliest on here? I just need 5
Answer: i will help ;)
friend me hurry
Hello there!
You need to have good answers that are reliable and correct. It depends on the person asking the question, some people give Brainliest and and some people don't. As long as you give good detailed explanations, you are bound to get Brainliest on your answers! :)
Adeline is wrapping a gift for her mother in a box with the dimensions shown. What is the minimum amount of wrapping paper Adeline will need to completely cover the gift box. (Explain Clearly) (Answer 4/30 - 5/2)
Answer:
31 feet 4 inches or 376 inches
Step-by-step explanation:
First you have to find the surface area of each side.
Front = (10 x 8) 80
Back = (10 x 8) 80
Left side = (6 x 8) 48
Right side = (6 x 8) 48
Top = (10 x 6) 60
Bottom = (10 x 6) 60
Then, you add them all up and you get your answer!
Hope I helped! ; )
Answer:
Step-by-step explanation:
hope you got the answer
23, 34, 27, 7, 30, 26, 28, 31, 34
What number is an outlier for the given data?
A) 7
B) 23
C) 31
D) 34
Easy 10 points :p
A. 7
7 is far away from the rest of the numbers, so it is an outlier.
The answer is A) 7 since it doesn’t fit in with the other numbers. In other words it’s the smallest number.
Sakiya surveyed students in her school about their favorite sports.On Monday,she randomly surveyed 85 students in the cafeteria.On Tuesday,she surveyed 15 of her teammate on the soccer team.Which statement best describes the samples Sakiya used?
A)Neither sample represents the school population.
B)Both samples likely represent the school population.
C)The data gathered on Tuesday most likely represent the school population,but the data gathered on Monday most likely do not.
D)The data gathered on Monday most likely represent the school population,but the data gathered on Monday most likely do not.
Pls help
Answer:
I think its D
Step-by-step explanation:
Also Do you mean D)The data gathered on Monday most likely represent the school population,but the data gathered on Tuesday most likely do not?
The data gathered on Monday by randomly sampling 85 students will most likely represent the school population, whereas the data from Tuesday, consisting of Sakiya's soccer teammates, is a convenience sample and likely does not represent the school population.
Explanation:The student's question involves understanding how well a sample represents a larger population in statistical surveying. In Sakiya's case, the first sample where she surveyed 85 randomly chosen students in the cafeteria on Monday is more likely to represent the school population because it was randomly selected from a broader, more diverse group. This is in contrast to the sample gathered on Tuesday, which includes only 15 of her soccer teammates and is a convenience sample, since it's composed of individuals who are readily accessible to the researcher but may not represent the target population accurately.
Therefore, it's reasonable to conclude that the Monday sample is better at representing the entire school population due to the randomness of the selection process. In contrast, the Tuesday sample is biased and less representative because it consists of a specific subgroup within the school, i.e., soccer team members, who may share similar interests that do not necessarily reflect the interests of the entire school population.
Find the mistake made in the steps to solve the equation below.
Answer:
B. Step 3 is incorrect, it should be x = 10/8
Step-by-step explanation:
Answer:
The correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]6x-1=-2x+9[/tex]
Step 1: Use addition property of equality.
[tex]8x-1=9[/tex]
Step 2: Use addition property of equality.
[tex]8x=10[/tex]
Step 3: Use Division property of equality.
[tex]x=\frac{10}{8}[/tex]
Step 4: Now simplify.
[tex]x=\frac{5}{4}[/tex]
Now, by comparing these steps with the provided image we can concluded that the step 3 is incorrect.
Thus, the correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].
Please help fast!!!
A circle has a circumference of 10pi yards find the area in terms of pi
25pi yards squared is the area
The length of the first side of a triangle is 3 more than twice the second side, and three half of the third side. Find the lengths of the sides if the perimeter of the triangle is 31.
Answer:
x = 15
y = 6
z = 10
Step-by-step explanation:
Okay, let's set up the equation(s).
x = 3 + 2y
x = 3/2z
x + y + z = 31
With some algebra that God knows how came through my mind, I got this:
x = 15
y = 6
z = 10
Which of the following options is a better purchase for a bicycle?
Option 1: A cash sale for $88
Option 2: $5 down with equal payments of $8 for 10 weeks
Option 3: $12 down with equal payments of $5 for 12 months
Option 4: $20 down with equal payments of $20 for 12 months
Answer:
Option 3
Hope this helps you out!
Option 3 the answer hopes this helps u out
PLS help me fast!!!!
The following box plot shows the number of books sold each day at a store for 80 days. How many days did the bookstore sell 2 to 12 books?
A box plot is drawn with end points at 0 and 16. The box extends from 2 to 12 and a vertical line is drawn inside the box at 7
40
60
70
80
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the box plot shows the number of books sold each day at a store for 80 days.
A box plot is drawn with end points at 0 and 16. It means minimum value is 0 and maximum is 16.
The box extends from 2 to 12. It means first quartile is 2 and the third quartile is 12. A vertical line is drawn inside the box at 7, it means median is 7.
He have to find the number of days in which the bookstore sell 2 to 12 books.
2 is first quartile and 12 is third quartile, we know that
[tex]Q_1=25\%[/tex]
[tex]Q_3=75\%[/tex]
[tex]Q_3-Q_1=75\%-25\%=50\%[/tex]
The data lies between Q₁ and Q₃ is 50% of the data.
[tex]80\times \frac{50}{100}=40[/tex]
The bookstore sell 2 to 12 books in 40 days.
Therefore, the correct option is 1.
Answer:
I had to do this and i got option 1, too (40)
Step-by-step explanation:
I did it and got it right on my exam.
Complete the table to show the values of x between 0.5 and 1
Answer:
2.4 2.2
2.3 2.4
2.2 2.6
2.1 2.8
2 3
the values of a and b
Answer:
a = 4, b = 3Step-by-step explanation:
Look at the picture.
Translating Expressions 2
Drag the item from the item bank to its corresponding match.
Use these choices
Five divided by x
Five times x.
The number five plus x
The number five minus x
ten times x plus three.
three fourths of x plus 2.
three times x plus ten
two minus three fourths of x
Answer:
1. the number five plus x
2. the number five minus x
3. five times x
4. five divided by x
5. three fourths of x plus 2
6. two minus three fourths of x
7. three times x plus ten
8. ten times x plus three
Step-by-step explanation:
Savemore National bank starts the day with 2.81 times 10^4 dollars in the vault. At the end of the day, the bank has 3.5 times 10^5 dollars in the vault. How much more money is in the vault at the end of the day than there was in the morning ?
ANSWER
There is
[tex]3.219\times {10}^{5} [/tex]
more money in the vault in the evening than in the morning.
EXPLANATION
The amount of money in the vault in the morning is
[tex]2.81 \times {10}^{4} [/tex]
The amount of money in the vault at the end of the day is:
[tex] 3.5 \times {10}^{5} [/tex]
To find how much more money is in the vault at the end of the day than there was in the morning, we subtract to get:
[tex]3.5 \times {10}^{5} - 2.81 \times {10}^{4} [/tex]
[tex] = 3.5 \times 100000 - 2.81 \times 10000[/tex]
[tex]350000 - 28100= 321900[/tex]
Therefore, there is
[tex]3.219\times {10}^{5} [/tex]
more money in the vault.
Please help me!!!
The volume of a cube is 125 cubic centimeters. a rectangular prism with three different whole number dimensions has the same volume. what are the dimensions of the rectangular prism?
Answer:
375
Step-by-step explanation:
Multiply 3x125=375cu
A rectangular prism with three different whole number dimensions has the same volume will be 1 cm by 5 cm by 25 cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of a cube is 125 cubic centimeters.
A rectangular prism with three different whole number dimensions has the same volume.
Then the dimension of the rectangular prism will be
Volume of rectangular prism = Volume of cube
Volume of rectangular prism = 125
Volume of rectangular prism = 1 x 5 x 25
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
What is the value of x?
6
8
10
12
Answer:
8
Step-by-step explanation:
The sum of the internal angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5, hence
sum = 180° × 3 = 540°
Each exterior angle plus interior angle = 180°
Subtract each exterior angle from 180 for corresponding interior angle.
180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118
Sum the 4 interior angles and subtract from 540 for 5 th interior angle
5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°
The 5 th interior angle and 12x sum to 180 ( same reason as above )
Hence
12x + 84 = 180 ( subtract 84 from both sides )
12x = 96 ( divide both sides by 12 )
x = 8
Answer:
8
Step-by-step explanation:
What is the surface area of the prism?
To get the answer type 2•4•3+2•4•2+2•3•2
in to a calculator And you’ll get “52m”
Answer:
52 m²
Step-by-step explanation:
The prism has 6 rectangular faces.
Opposite faces are congruent, that is
top/bottom, front/back and sides
A = 2(4 × 3) + 2(3 × 2) + 2(4 × 2)
=( 2 × 12) + (2 × 6) + (2 × 8)
= 24 + 12 + 16
= 52 m²
the vector [ 5,1] represent the velocity of an ultralight plane what is the direction of this vector to the nearest degree
Answer:
[tex]011\degree[/tex]
Step-by-step explanation:
The direction of a vector is given by;
[tex]\theta=\tan^{-1}(\frac{y}{x})[/tex]
The given vector is <5,1>.
The x-component of this vector is 5 and the y-component is 1.
We substitute the values into the formula to obtain;
[tex]\theta=\tan^{-1}(\frac{1}{5})[/tex]
We use our scientific calculator to obtain;
[tex]\theta=11.3099[/tex]
Therefore the direction of the given angle is [tex]011\degree[/tex] to the nearest degree.
For the given line segment, write the equation of the perpendicular bisector.
a. y= 4/5x + 17/10
b. y= 5/4x+ 17/10
c. y= 4/5x + 47/10
d. y= - 4/5 X - 47/10
will mark brainliest if correct and give 50 pts.
D.) -4/5X-47/10, because the slope of the line is 5/4 and the perpendicular bisector must be the opposite reciprocal, meaning the numerator and denominator flip and then it becomes negative. So the opposite reciprocal of 5/4 is -4/5, leading us to answer choice D
On August 1, Charles’ checking account register showed a balance of $2,416.78. After reviewing his bank statement he noticed an NSF charge in the amount of $70.25, a service charge of $19.00, and a note collected for $456.00. There was one deposit not yet credited for $155.00 and no checks outstanding. What was his reconciled balance? $2,820.53 $2,902.53 $2,902.35 $2,783.53
Answer:
$2,783.53
Step-by-step explanation:
Answer:
$2783.53
Step-by-step explanation:
$2416.78 - $70.25 - $19.00 +$456.00 = $2783.53
Can't count the $155.00 just yet as it has not registered as a credit. NSF and the service charge are always a deduction.
A triangle with sides of lengths 32,60,68 is a right triangle ? True or false
Answer:
True
Step-by-step explanation:
Using the converse theorem of Pythagoras
If the longest side in a triangle is equal to the sum of the squares of the other 2 sides then the triangle is right.
longest side = 68
68² = 4624
and 32² + 60² = 1024 + 3600 = 4624
Hence triangle is right.
Answer:
True
Step-by-step explanation:
The other user is correct!
Given: f(x)=x^2, g(x)=x+6, h(x)=7
Find h{g[f(x)]}
Step-by-step explanation:
[tex]f(x)=x^2,\ g(x)=x+6,\ h(x)=7\\\\h(x)=7\ \text{It's the constant function. Therefore}\ h\{g[f(x)]\}=7[/tex]
Graph the equation by translating y = |x|. y = |x+2|
To graph y = |x+2|, consider the parent function y = |x| and translate it 2 units to the left. Choose x-values, find the corresponding y-values, and plot the points. Connect the plotted points to obtain the graph of y = |x+2|.
Explanation:To graph the equation y = |x+2|, we will first consider the parent function y = |x|, which is a V-shaped graph that passes through the origin. Translating the graph y = |x| to the left by 2 units gives us y = |x+2|.
To plot the graph, we can choose various x-values and find the corresponding y-values. For example, when x = -4, y = |(-4)+2| = 2. Similarly, when x = -2, y = |(-2)+2| = 0. We can continue this process to find more points and then plot them on a coordinate plane.
By connecting the plotted points, we will obtain the graph of y = |x+2| which will be a V-shaped graph shifted 2 units to the left.
Can someone please help me out
Answer:
B
Step-by-step explanation:
The distance of a run compared with the number of times around a track.
The question asks for what is most likely to have a constant rate of change. This means that for every x, there is about the same y, as a constant rate of change means that there is a consistent slope, which is the x and y value. In real world terms, it means that you can expect every one value to change however much without changing randomly.
For example, when you buy a pizza, you expect a pizza to get you 8 slices. When you get two, you expect to get 16, 3 gets you 24 slices, and so on. This expectation is based off the constant rate of change, as you get 8 slices for each pizza. The slices would be modeled as y and the pizza would be modeled as x in mathematical terms in this situation.
Because we know that the track's distance doesnt change with every lap, we can expect it to have a constant rate of change. This concept is the same as the pizza as discussed earlier. Every lap would get her a certain amount of miles, and every other lap would increase the same amount.