Answer:
y = 2x^2 - 4a + b + c = -2Step-by-step explanation:
Parabola is the graph of a quadratic function:
y = ax^2 + bx + cGiven points:
(-2,4), (0,-4) and (2,4)Substituting the points:
1.
4 = a(-2)^2 + b(-2) + c ⇒ 4 = 4a - 2b + c ⇒ 4a -2b + c = 42.
-4 = a*0 + b*0 + c ⇒ c = -43.
4 = a(2)^2 + b(2) + c ⇒ 4 = 4a + 2b + c ⇒ 4a + 2b + c = 4Considering c = -4 in the other equations:
4a - 2b - 4 = 4 ⇒ 4a - 2b = 8and
4a + 2b - 4 = 4 ⇒ 4a + 2b = 8Comparing the above two equations:
4a - 2b = 4a + 2b ⇒ 4b = 0 ⇒ b = 0Then finding a:
4a = 8 ⇒ a = 2So we have equation:
y = 2x^2 - 4and
a + b + c = 2 + 0 - 4 = -2
ba + 3ca = -2
Solve for a
We have:
ba + 3ca = -2
Extract common factor "a":
a(b + 3c) = -2
Divide by the term (b + 3c):
[tex]a = \dfrac{-2}{b+3c}[/tex]
Please answer see the image
Answer:
67.7
Step-by-step explanation:
The long sides contribute a total of 30 , while the two half semi-circumferences contribute pi * 12 giving a total of:
67.699 which rounded to the nearest tenth is:
67.7
Answer:
67.7Step-by-step explanation:
perimeter = semicircle (x2) + parallelogram side (x2)
= 1/2 π 12 (x2) + 15 (x2)
= 37.7 + 30
= 67.7
CAN YOU PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP (24 points)
The perimeter of a rectangle is 54 inches. Its length is 22 inches. Write and solve an equation to determine its width?
2 times the width + 2 times the length = perimeter
Answer:
I'll sing out
Step-by-step explanation:
give me a sec
Evaluate and simplify the expression when a = 3 and b = 2. 3b-2(1 - b) a - 2 II [ ? ] Enter Copyright © 2003.2010
Correct question:
Evaluate and simplify the expression when a = 3 and b = 2,
given expression = 3b-2(1 - b)a - 2
Answer:
3b-2(1 - b)a - 2 at the given values is 10.
Step-by-step explanation:
Given;
3b-2(1 - b)a - 2
The expression is simplified as;
3b-2(1 - b) a - 2 = 3b - 2a(1 - b) - 2
= 3b - 2a + 2ab - 2
When a = 3 and b = 2; then, substitute these values in the simplified expression above;
3b - 2a + 2ab - 2 = 3(2) - 2(3) + 2(3 x 2) - 2
= 6 - 6 + 12 - 2
= 10
Therefore, 3b-2(1 - b)a - 2 at the given values is 10.
Explain how to plot the point (3, –7) on the coordinate plane.
PLS HELP FAST
P.S. i only need one small pharagraph
Answer:
First you go to the x-axis put your point on where the coordinate says. In this case, 3. Then go to the y-axis and put your coordinate there, -7. The x-axis is first also knows as the first number in the coordinate.
Step-by-step explanation:
E23 I put as answer was correct :)
Mrs. Pitts wrote the volume formula as "V=Bh". what does "B" represent
Answer:
B stands for the area of the base of a figure.
Step-by-step explanation:
Example: In a square prism, the area of the base would be the length times the width of the square.
need help with simplifying.
Answer:
Step-by-step explanation:
4x^3 + 7x^3 - 5x + 9x + 3 + 11 = 11x^3 + 4x + 14
HURRY I HAVE TO DO MY TEST?!?!?!?!?Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs? 3 5 6
Answer:
the answer is 9
Step-by-step explanation:
Answer:
it is 9
Step-by-step explanation:
What is the length of CD? What is the length of C’D’? What is the measure of B? What is the measure of B’? What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’?
Answer:
What is the length of CD? (6 units)
What is the length of C’D’?(4 units)
What is the measure of B? (90 degrees)
What is the measure of B’? (90 degrees)
What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’? (2/3)
Step-by-step explanation:
Plz sub 2 my utube channel i post unreleased music
its called: lol bro crazy mexican
Answer:
In order
6 Units
4 Units
90 Degrees
90 Degrees
2/3
Step-by-step explanation:
A trencher digs 5m in 4 hours. How long will it take to dig 30m
Answer:
24 hours, in other words a whole day
Step-by-step explanation:
30m / 5m = 6
4hrs x 6 = 24hours
Therefore, to dif 30m it will take 24 hours.
The classic 60° triangle has a hypotenuse of length 2, an opposite side of length √3 and an adjacent side of length 1....find the value of Cos(60°)
Answer:
The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).
I hope this helps!
Step-by-step explanation:
A type of student loan that offers no payments and no interest until graduation is called:
Answer:
Private Loans
Step-by-step explanation:
Answer:
This is called subsidized loan
prove a stronger version of proposition 2.3.7 suppose xn ia a sequence such that every subsequence xni has a subsequence xnmi that converges to x
Answer and Step-by-step explanation:
Solution:
Given:
A, B and C are sets.
We have to prove that:
(A − B) ∩ (C − B) = (A ∩ C) − B.
Use an element x,
Let x Є (A – B), by the definition of difference:
X Є A and x ∉ B.
And
X Є A ∩ C and x ∉ B
X Є (A ∩ C) – B
Now let x Є C – B
By the definition of difference:
X Є C and x ∉ B
By definition of intersection: x Є C and x Є( A ∩ C)
By definition of difference, using that x Є(A ∩ C) And x ∉ B:
X Є ( A ∩ C) – B
We know that: x Є (A – B) ∩ ( C – B)
Is equivalent to x Є A – B and x Є C – B
So, ( x Є A and x ∉ B)
And (x Є C and x ∉ B)
From this we know that x Є (A ∩ C) – B.
choose the expression that correctly compares 0.720 and 0.7200
Answer:
0.720 = 0.7200
Step-by-step explanation:
These decimals are equivalent.
HTH :)
Answer:
0.720=0.7200
Step-by-step explanation:
Take a zero away from the second number and Boom
20 POINTS!!!
The volume of a ball is 30 cm^3. If the diameter of the ball is dilated by a scale factor of 5, what is the new volume of the ball? Don't include the units
What is the answer to 32divided by 7/8
Answer:
Boyy
Step-by-step explanation:
I will give u 50 points and brainlest pls help
Answer:
The bicyclist rides 72 miles in 4 hours
Step-by-step explanation:
The vertical axis represents the number of miles while the horizontal axis is the duration. The intersecting point is the time and distance taken hence 72 miles in 4 hours.
Answer:
if you know this or not but 5 points is not 50
Step-by-step explanation:
Rewrite the rational exponent as a radical expression. (2 points)
Answer:
the eighth root of 2 to the fifth power .
Step-by-step explanation:
Answer:
the ninth root of 3 is the answer AKA: B
Step-by-step explanation:
Took the test
1. Grab the vertical line on the left distribution (Sampling Distribution of the Mean) and drag it until the vertical line on the right distribution (Sampling Distribution of Corresponding z) is at 1.959. What is the probability to the right of the vertical line
Answer:
The answer is "0.025".
Step-by-step explanation:
Please find the graph in the attached file.
Given value:
[tex]\to Z= 1.959\\\\\to P(right \ of 1.959) = P(z>1.959)[/tex]
[tex]=1-p(z\geq 1.959)\\\\=1-0.975\\\\=0.025[/tex]
Which of the following methods would provide a voluntary response sample?
A.
B.
C.
D.
Answer:
The Answer is D
Step-by-step explanation:
A survey of every 10th person leaving a large shopping mall. I hope im right this question was tricky though. Hope it helps :)
Re-write the quadratic function below in Standard Form
y = -(x – 3)2 +8
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0Expanding by FOIL (First Inside Outside Last)Combining like termsStep-by-step explanation:
Step 1: Define equation
y = -(x - 3)² + 8
Step 2: Rewrite
Expand [FOIL]: y = -(x² - 6x + 9) + 8Distribute -1: y = -x² + 6x - 9 + 8Combine like terms: y = -x² + 6x - 1A local hamburger shop sold a combined total of 769 hamburgers and cheeseburgers on Saturday. There were 69 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
Answer:
If you subtract 69 from 769 giving you 700 and divide by 2. You will be get 350 hamburgers and 419 cheeseburgers.
Which statements are true? Select the five correct answers.
Answer:
All except the last one
Step-by-step explanation:
[tex]\sqrt{1.9}[/tex]=1.37840488
[tex]\sqrt{1.8}[/tex]=1.34164079
Answer:
The first 5
Step-by-step explanation:
jay is attending physical therapy after knee surgery he walked 4 2/3 miles over 3 days how many miles is the per day simplilfy the answer as a mixed number
Answer:
1 5/9 miles per day
Step-by-step explanation:
(4 2/3)/3 = 1 5/9
Find the missing lengths in the given triangle
Convert the fraction to a decimal using an equivalent fraction.
4/5
Answer:
.8
Step-by-step explanation:
4/5 multiplied by 2 is 8/10, which is equivalent to .8
After converting the number 4/5 into decimal, the number is 0.8.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
Fraction = 4/5
So, Write an equivalent fraction as;
⇒ 4/5
Multiply by 2 in denominator and numerator;
⇒ 4×2 / 5×2
⇒ 8 / 10
⇒ 0.8
Learn more about the fraction visit:
brainly.com/question/5454147
#SPJ2
if the bathtube holds 46.2 gallons How many mints will it take to fill the whole tub
Answer:
takes 3 minutes
Step-by-step explanation:
Math help!!! Answers to both 1&2?
Answer:
1. 1/3
2. 200
Step-by-step explanation:
A study of the career paths of hotel general managers sent questionnaires to an SRS of 210 hotels belonging to major U.S. hotel chains. There were 108 responses. The average time these 108 general managers had spent with their current company was 8.8 years. (Take it as known that the standard deviation of time with the company for all general managers is 3.5 years.)
Required:
a. Find the margin of error for an 85% confidence interval to estimate the mean time a general manager had spent with their current company.
b. Find the margin of error for a 99% confidence interval to estimate the mean time a general manager had spent with their current company.
Answer:
a
[tex]E = 0.4850 [/tex]
b
[tex]E = 0.8689[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 108
The sample mean is [tex]\= x = 8.8 \ years[/tex]
The standard deviation is [tex]\sigma = 3.5[/tex]
From the question we are told the confidence level is 85% , hence the level of significance is
[tex]\alpha = (100 - 85 ) \%[/tex]
=> [tex]\alpha = 0.15[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.44 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.44 * \frac{ 3.5 }{\sqrt{108} }[/tex]
=> [tex]E = 0.4850 [/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{ 3.5 }{\sqrt{108} }[/tex]
=> [tex]E = 0.8689[/tex]
What does the point (1, 18) represent?
Answer:
1 on the x axis, and 18 on the y axis
Step-by-step explanation: