Answer:
x
Step-by-step explanation:
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
Read more about x-intercepts at:
https://brainly.com/question/3951754
Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1
Answer:
= 4
Step-by-step explanation:
2a^2-4b
=2(2)^2-4(1)
=2×4-4
= 8-4
=4
I just need help with 1-8
Answer:
1. Reflexive Property of equality
2. Addition Property of equality
3. Subsitution
4. Definition of Congruence
5. Transitive Property
6. Division of equality
7. Segment Addition postulate
8. Subtraction of equality
Step-by-step explanation:
I don't understand this at all. Can you help me solve this please :)
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
Jason and Henry go to the movie theater and purchase refreshments for their friends. Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn. Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of popcorn, to the nearest cent.
Answer:
The cost of one drink is $5
Step-by-step explanation:
3x-120x=82.50-667.5
120x-3x=667.50-82.50
117x=585
x=5
A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost price = $5 per T - shirt
Markup = 150% or cost price
Every month which shirt doesn't sell, selling price drops by 25%
Selling price of Tshirt = (150% * $5) = $7.5
Price after 1 month = (100% - 25%) * $7.5 = $5.625
Hence, the equation could be expressed as :
Price after one month:
(1.5 * $5) - 0.75 * (1.5 * $5)
7.5 - 0.75(7.5)
Answer:
($5)(2.50) – ($5)(2.50)(0.25)
How many gallons of water are in a 2 gallon pitcher that is 3/4 full?
Answer:
1.5 gallons
Step-by-step explanation:
2 x 0.75
1.5 gallons
Brainliest appreciated!
Answer:
1.5 gallons
Step-by-step explanation:
1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.
PLEASE HELP ME ASAP I HAVE 4 QUESTIONS BRAINIEST TO WHO IS RIGHT
Answer:
B: Distinct lines
Step-by-step explanation:
If you go to desmos graphing calculator add put the equations in you can see they never interesct
Answer:
B) distinct parallel lines
Step-by-step explanation:
First, place both equations in slope-intercept form:
y + 6 = [tex]-\frac{1}{3}[/tex] (x - 15)
y + 6 = -1/3x + 5
y = -1/3x - 1
2x + 6y = 24
6y = -2x + 24
y = -2/6x + 4
y = -1/3x + 4
Because they have the same slope and different y-intercepts, they are parallel.
The average fun size Snickers bar has the mass of 20.1 grams with a standard deviation of 0.7 grams What percent of Snickers bars have a mass more than 21.5 grams?
Step-by-step explanation:
The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.
1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))
a. The population is approximately normal.
b. The population standard deviation is known.
c. The sample taken is a random sample.
d. The population standard deviation is unknown. e
. The degrees of freedom is 0.01.
f. The sample size is greater than 30.
2. Which of the following statements is correct?
a) Parameters describe sample characteristics.
b) Statistics describe population characteristics.
c) We use statistics to estimate the value of parameters.
d) We use parameters to estimate the value of statistics
Expert Answer
The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.
To find the percentage of Snickers bars with a mass more than 21.5 grams,
use the concept of standard normal distribution.
Calculate the z-score for 21.5 grams.
The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:
z = (x - μ) / σ
where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.
Here
x = 21.5 grams
μ = 20.1 grams (mean)
σ = 0.7 grams (standard deviation)
z = (21.5 - 20.1) / 0.7
z = 1.4 / 0.7
z = 2
The percentage of values greater than the z-score in the standard normal distribution calculator.
The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.
Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.
learn more about percent here
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What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X
Answer:
y = x + 2
Step-by-step explanation:
will you guys help me with anything i need?
(don't listen about the subject for now i just need to know)
Answer:
Ummm yeah , i'm literally a nice person and a good listener .
Step-by-step explanation:
Can i pls have brainly ? <3
Answer:
yes
Step-by-step explanation:
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If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Use your equation from the previous question to find how many gallons of gas you could buy with 40 dollars.
help asap if you do you will get the crown thingy
Answer:2.35x+6.00=y
x=number of gallons of gas
Step-by-step explanation:
A-55
B-65
C-75
D-90
Please help meee it’s a test
3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.
Answer:
$2.14
Step-by-step explanation:
x = price
24x+(x+16) = 53.5
25x+16 = 53.5
25x+53.5
x=53.5/25=2.14
45 + 15(n − 1) for n = 6
Answer:
120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Plug in what you know so: 45+15(6-1)
So, following the order of operations, you do the parentheses first so: 45+15(5)
Then, still following the order of operations, you'd multiply from left to right. So: 45+75
Then, you add from left to right, so you get 45+75=120
Your answer is 120.
I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.
Answer:
x = 32.5
y = 65
Step-by-step explanation:
y = 65 degrees
65 and y are the base angles in an isosceles triangle ( single lines) so they are equal
y+z = 180 since they form a straight line
65+z = 180
z = 180-65
z = 115
The second triangle is also an isosceles triangle so the base angles are the same as shown by x
180 = x+x+z
180 =2x+ 115
65 = 2x
Divide by 2
x = 32.5
If n is an odd integer, which equation can be used to find three consecutive odd integers whose sum is 15?
Answer:
n+(n+2)+(n+4)=15
Step-by-step explanation:
Let n= the smallest odd integer
n+(n+2)+(n+4)=15
n=3
Geometry Question: Image is provided below.
Please show all work and your steps.
25 points
Answer:
x=7
y=10
Step-by-step explanation:
8x and 11y+14 are same side interior angles so they add to 180 degrees
11y+14 and 10x+54 are vertical angles so they are equal
8x + 11y+14 = 180
11y+ 14 = 10x+54
Substitute 10x+54 for 11y+14 in the first equation
8x +10x+54 = 180
Combine like terms
18x+54 =180
Subtract 54
18x+54-54=180-54
18x =126
Divide by 18
18x/18 = 126/18
x=7
Now we can find y
11y+ 14 = 10x+54
11y + 14 = 10*7+54
11y+14 = 70+54
11y+14 =124
Subtract 14 from each side
11y = 124-14
11y =110
Divide by 11
11y/11=110/11
y =10
7
Pls answer I’m to tired for this
What is the midpoint
between (-2, -3) and
(1, 2)?
a) (-1,-)
b) (-:-)
c) (-1,-)
d) (-3,-)
Answer:
I think it's B
...........
Answer:
d
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus
midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d
Find the area of the rectangle. The length is 1.25 and the width is 0.8 inches
y=3x-5 identify y intercept within equation
Answer: -5
Step-by-step explanation: alrite so when u graph it, the line crosses -5 on the y axis
Answer: -5
Step-by-step explanation:
When written in slope intercept form, which is y=Mx+b, b is the y intercept so in this case it would be -5
A certain test is scored by adding 1 point for
each correct answer and subtracting 1/4 of a
point for each incorrect answer. If Jan answered
31 questions correctly and 9 questions incor-
rectly, what was her score?
a. 28 3/4
b. 28 1/4
c. 26
d. 22 1/4
Answer:
A
Step-by-step explanation:
31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4
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Use square roots
3^100 dan 10^50 lebih besar mana?
Answer:
The bigger is 10 to the power of 50 or 10^50
Step-by-step explanation:
3 to the power of 100 = 3100 = 51537752 0732011331 0364611297 6562127270 2107522001. = place digits is 50
10 to the power of 50 = 1050 = 1 0000000000 0000000000 0000000000 0000000000 0000000000. = place digits is 51
Last year, Deanna bought 225 lamps when customers needed 250 lamps. This year, she bought 300 lamps but only sold 200 lamps. Which set of statements about the percent errors for the two years is true?
The percent error for this year was lower. Deanna estimated better last year.
The percent error for this year was higher. Deanna estimated better last year.
The percent error for this year was lower. Deanna estimated better this year.
The percent error for this year was higher. Deanna estimated better this year.
Answer:
The percent error for this year was higher. Deanna estimated better last year.
Step-by-step explanation:
Answer:
Step-by-step explanation:
6jkyuilyi
what a number named as a googolplexian might be ?
Answer:
A 1 with a hundred 0's following it
Step-by-step explanation:
Geometry homework!
Hiii I’m having a really hard time with my homework, by any chance do you know the right answer?
Thank you!
Answer:
D
Step-by-step explanation:
The numbers between the < , > show the change from the preimage to the image. So, <-2,3> would be the x - 2 and the y + 3.
So, A(5,6) -> A'(3,9)
B(6,-3) -> B'(4,0)
C(7,2) -> C'(5,5)
Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *
Answer:
Total deductions = $196.24
Step-by-step explanation:
Gross weekly salary = $680
federal holding = $101.62
FICA standard rate = 7.65% of gross earnings
= 7.65% of $680 = 0.0765 × 680 = $52.02
∴ FICA deductions = $52.02
state tax = 1.5% of gross pay = 1.5% of $680
state tax = 0.015 × 680 = $10.2
∴ state tax = $10.2
Medical insurance = $32.40
Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24
solve for x
(3/x-c)=(4/x-d)
9514 1404 393
Answer:
x = 4c-3d
Step-by-step explanation:
Cross multiply, separate variables terms and constant terms.
[tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]
if C (-6,4) is rotated 180 degrees around the origin, the image point C’ would be ?
Answer:
6,4
Step-by-step explanation: