Answer:
[tex]y = x^2 + 6x + 8[/tex]
Step-by-step explanation:
⭐What is the equation of a parabola in standard form?
[tex]y = ax^2 + bx + c[/tex]⭐Whenever you factorise a quadratic (parabola), you are writing the parabola in terms of its x-intercepts.
⭐ Therefore, the expressions of the x-intercepts are the factors of your quadratic.
⭐What are factors of a number?
factors are 2 or more numbers or expressions that multiply together to become a numberWe have to reverse-engineer this problem to find the quadratic by:
re-writing the quadratic in terms of its factors (the x-intercepts)multiplying the factorssimplifying the product from step #21. Re-write the quadratic in terms of its factors
If one of the x-intercepts is -2, then the expression for said x-intercept is: [tex](x+2)[/tex]
If one of the x-intercepts is -4, then the expression for said x-intercept is:
[tex](x+4)[/tex]
2. Multiply the factors
[tex]y = (x+2)(x+4)[/tex]
[tex]y = x^2 + 4x + 2x + 8[/tex]
3. Simplify the products
[tex]y = x^2 + 6x + 8[/tex]
A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, if you randomly select a landscaper in the US, what is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL
Answer:
0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL
This means that [tex]\mu = 30.8, \sigma = 4.371[/tex]
What is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL?
This is the pvalue of Z when X = 39.73 subtracted by the pvalue of Z when X = 36.84.
X = 39.73
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39.73 - 30.8}{4.371}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a pvalue of 0.9793
X = 36.84
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{36.84 - 30.8}{4.371}[/tex]
[tex]Z = 1.38[/tex]
[tex]Z = 1.38[/tex] has a pvalue of 0.9162
0.9793 - 0.9162 = 0.0631
0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL
An object travels along a horizontal straight path at a constant rate. The object travels 1/2 of the
length of the path in 3/4 second. At that rate, how many seconds does it take the object to travel the
entire length of the path?
Answer:
1.5 seconds
Step-by-step explanation:
Given that,
The object travels 1/2 of the length of the path in 3/4 second.
We need to find the time it takes the object to travel the entire length of the path.
1/2 of length = 3/4 seconds
Entire length,
[tex]=\dfrac{3}{4}\times 2\\\\=1.5\ s[/tex]
So, it will take 1.5 seconds to cover the entire length of the path.
jenny got sum chiken nuggies and she ate 4 and had 16 left how many nuggies did she have
What is 4.9 subtract 0.6
Answer: 4.3
Step-by-step explanation:
4.9-.6=4.3
Hunter has a rectangular prism with a volume of 1,155 cubic cm. He measures the length of the prism as 5 1/2 cm and the width of the prism as 10 1/2 cm.
The height of Hunter’s rectangular prism must be
Answer:
John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which fffadasdequation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which equation can be used to find y, the total cost to buy xshirts? vv
Step-by-step explanation:
Which of the following equations has
infinitely many solutions?
A. 2x + 3 = 5 + 2x
B. 2x + 3 = 5 + 3x
C. 3x - 5 = -5 + 2x
D. 3x - 5 = -5 + 3x
-27 +2+ 23р - Зр
Hurry please
Answer:
20p - 25
Step-by-step explanation:
-27 +2+ 23р - Зр
20p - 25
Answer:
-25+20p
Step-by-step explanation:
Add -27 and 2
-25+23p-3p
Subtract 3p from 23 p
-25+20p
Hope this helps! If so brainiest, please?
Thanks!!!
What is the better deal? 6 for $6.99 or 24 for $13.99
Answer:
24 for $13.99
Step-by-step explanation:
Find the cost of 1 for both deals.
6 for $6.99. Divide 6.99 with 6:
6.99/6 = 1.165
~$1.17 for one.
24 for $13.99. Divide 13.99 with 24:
13.99/24 = ~0.582
~$0.58 for one.
24 for $13.99 is the better deal, by ~59¢.
A student purchased 9 binders for $11.07.
Use the drop down to answer the question.
Which equation can be used to find the cost of each binder, b, in dollars?
Answer:
11.07/9
Step-by-step explanation:
Math
What is the slope and y-intercept of this line?
y=3x + 7
Answer:
the slope is 3 and the y-intercept is 7
Step-by-step explanation:
in slope-intercept form, y=mx+b, m = the slope, and b = the y-intercept
Hello there!
The equation of this line is written in slope-intercept form, which looks like so:
y=mx+b
Where
m is the slope (-1/2 for this line)
b is the y-intercept (7)
Hope it helps.
~A lonely teen who helps others and listens to "How Far I'll Go
-Grace ;-)
Good luck.
Which category do both of these shapes belong to
Answer:
D. Parallelogram
Step-by-step explanation:
Answer:
The answer is Parallelgram(D)
two pairs of parallel sides in a quadrilateral
hope it helps...
Look at the photo for an Easy question and get easy points
Answer:
90
Step-by-step explanation:
why my answer has to be 20 characters long? :)
Answer:
the answer is 90
Step-by-step explanation:
Hope I helped!
the length and width of a rectangle are represented by a 2x+3 and x-1 respectively, which of the following represents the perimeter of the rectangle.
Sketch the graph of y=-2x² + x + 1 using your graphing calculator. What are the x-intercepts of this graph?
a. (1, 0) and (-0.5, 0)
c. There are no x-intercepts
b. (-2.5, 0) and (-2,0)
d. (-1.5, 0) and (-0.5, 0)
Please select the best answer from the choices provided
A
B
0
D
The doctor tells Emily that she needs to exercise enough to burn at least 200 calories each day. She prefers kickboxing or swimming. While kickboxing she burns 10 calories per minute, and while swimming she burns 7 calories per minute.
Answer: 10x+7y _>
200
Step-by-step explanation:
The best-fit equation is 10x+7y _> 200
What are fit equations?Fitting an equation to data is finding a linear, quadratic, exponential, or any other sort of function whose graph includes, or comes as close as possible to, a given set of data in the form of ordered pairs. The relative predictive power of a model shows how accurately the model is related to the data.
The theoretical pattern best accounts for the relationships among variables in a data set. For example, a regression equation having the best fit to sample data is the one that minimizes differences between observed and predicted values.
Learn more about the equation here: https://brainly.com/question/1214333
#SPJ2
DUE TOMORROW HELP!!!!!!
Shannon is planning to make a model of a pyramid for
a geography project. The length of each edge of the
base is 11 in., and the height of each triangular face
8.4 in. How much cardboard will Shannon need to
make the model pyramid?
Answer:
c
Step-by-step explanation:
edge
the triangles shown are similar. the side measuring 4 in. corresponds to the side measuring 9 in. what is the ratio ( smaller to larger )
Answer:
[tex]Ratio = \frac{9}{4}[/tex]
Step-by-step explanation:
Given
[tex]Small =4in[/tex]
[tex]Large = 9in[/tex]
Required
The scale ratio
From small to big, the scale ratio is:
[tex]Ratio = Big : Small[/tex]
[tex]Ratio = 9in:4in[/tex]
Cancel out the units
[tex]Ratio = 9:4[/tex]
Express as fraction
[tex]Ratio = \frac{9}{4}[/tex]
Five chicken nuggets have 180 calories. How many calories are in 7 chicken nuggets?
0 36 calories
0 252 calories
0 900 calories
O 1, 260 calories
Answer:
The correct answers 252 calories
Step-by-step explanation:
How I figured it out was by dividing 180 by 5, which gave me 36. Then 36(7) which equaled out to be 252.
A circle has a radius of 4. An arc in this circle has a central angle of 288º.
What is the length of the arc?
Answer:
its [tex]\frac{32\pi }{5}[/tex] or in degree it is 1152º
Step-by-step explanation:
The number of three digit integers less than 501 have exactly two different digits in the presentation for (example 232 or 466) is___.
Thanks in advance:)
Answer:
73
Step-by-step explanation:
IF THERe ARE 8 Cats, 12 dogs
and 4 RABBITS THEN
ratio 1;3 IS
FOR?
Answer:
1:3 ratio is for cats
Step-by-step explanation:
ratio of cats: no. of cats/ no. of rabbit+ cats+dogs
= 8/8+12+4
= 1/3
= 1:3
Figure A ~ Figure B
Figure A
Figure B
1 ft
3 ft
V = 6 cu ft
Find the volume of Figure A.
Answer:
the answer is
162ft3
Step-by-step explanation:
Plz, give me an answer thanks :)
Answer:
D
Step-by-step explanation:
In the equation 5(x2 + 6x) + 3 (y2 - 2y) = 77, complete the square on x by adding within the first parentheses. Complete the square on y by
ning Guide
adding within the second parentheses. Thus, add to the right side of the equation.
In the equation 5(x2 + 6x) + 3(y2 - 2y) = 77, complete the square on x by adding ?????what within the first parentheses. Complete the square on y by adding ????? What
within the second parentheses. Thus, add to the right side of the equation.
Answer:
a=5
Step-by-step explanation:
Answer:
7 8
Step-by-step explanation:
A board game has two spinners. The first spinner has 4 equal areas labeled 1, 2, 3 and 4. The second
spinner has 3 equal areas that are labeled: Move Ahead, Move Back, and Do Not Move. What is the
probability the first spinner will land on a 2 and the second spinner will land. on Move Back? Pls help I’m begging u pls I need this pls help have a good day pls help
F.1/2
G.1/4
H.1/8
J.1/12
Answer:
J
Step-by-step explanation:
prob of landing 4 x prob of landing move back
1/4 x 1/3 = 1/12
Allison collected books to donate to different charities. The following expression can be used to determine the number of books each charity received.
(12 + 4 • 5) ÷ 2
Based on this expression, how many books did each charity receive?
1/3x + 2 =4 I need it ASAP
Answer:
x=1/6 or 0.16
Step-by-step explanation:
x has to be whatever makes the equation true.
does 1/3 +2= 4 alone no does it = 4 when you do the 1/3(1/6) yes
Task: Volume & Surface Area
Instructions
The following question is a two part question. In the first part, you will be
asked to solve for volume. In the second part, you will be asked to solve for
surface area
Complete each of the 2 activities for this Task.
Activity 1 of 2
A storage chest is shown. What is the volume in cubic feet?
2 feet
2 feet
4.5 feet
Activity 2 of 2
A storage chest is shown. What is the surface area in square feet?
2 feet
2 feet
4.5 feet
help me please!!! someone help me out please!!!!!!
Cassie paid $276.45 for 5 months of cell phone service. At that rate, how much will Cassie pay for a full year of cell phone service?
NO ANSWERS FROM UNKNOWN FILES PLEASE OR I'LL REPORT IT!!!
A store randomly samples 602 shoppers over the course of a year and finds that 144 of them made their visit because of a coupon they'd received in the mail. Construct a 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail. (Round your answers to three decimal places.)
Answer:
well as a percent its 23.92
Step-by-step explanation: