According to the statement if One x-intercept for a parabola is at the point (-4,0) of the equation the other x-intercept for the parabola is (2, 0).
What is parabola?A parabola is an U-shaped mirror-symmetrical planar curve. It matches a variety of seemingly dissimilar mathematical formulations, all of which identify the same curves. A point and a line are two ways to describe a parabola.
What is the significance of the term "parabola"?Apollonius, who discovered numerous features of conic sections, is credited with the name "parabola." It signifies "application," referring to the "application of regions" notion, which, as Apollonius demonstrated, has a connection with this curve. Pappus is responsible for the focus-directrix attribute of the parabola as well as other conic sections.
According to the given statement:given equation: y=X² -2x+8
on solving the equation:
y==X² -2x+8
X² + 4x -2x -8
x(x - 4) -2(x - 4)
-1(x-2)(x+4)
According to the statement if One x-intercept for a parabola is at the point (-4,0) of the equation the other x-intercept for the parabola is (2, 0).
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Find the sine ratio of angle . Hint: Use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces.
Answer:
sine = 15/17
=sin*-1(15/17)
Y=1/3(x-6)^2 standard form
Answer:
Step-by-step explanation:
Answer: Y = 1/3x^2 - 4x + 12
Step-by-step explanation:
Hope this helps, sorry I don't have an explanation...
The difference between two negative temperatures is always negative. True Or False
Answer:
I think it’s false, for example if I have -7 and -2 on a number line, -7 is less. The difference is +5 because if you add -7+5 that gets you -2.
Step-by-step explanation:
Write the equation of a line through (3,1), parallel to y = x + 1
y=-2/3x - 1
y=-5/3x -2/3
y= 2/3 - 1
y=-x-2/3
Answer:
The answer is C ( y= 2/3x - 1 )
Step-by-step explanation:
Equation Formula : y - y1 = m ( x - x1)
y - 1 = 2/3 ( x - 3 )
y - 1 = 2/3x - 2
y = 2/3x - 2 + 1
y = 2/3x - 1
A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed?
For length of 50 yards , the width is 60 yards, for length of 40 yards , the width is 75 yards, for length of 48 yards, the width is 62.5 yards , for length of 36 yards, the width is 83.33 yards, they are inversely proportional.
The formula for the area of a rectangle is: Area = Length * Width.
So, for the given case, we have:
Area = 3000 square yards
Length = 50 yards, 40 yards, 48 yards, or 36 yards
Therefore, the width of the plot in each case can be calculated as:
For Length = 50 yards,
Width = Area / Length
= 3000 / 50
= 60 yards
For Length = 40 yards,
Width = Area / Length
= 3000 / 40
= 75 yards
For Length = 48 yards,
Width = Area / Length
= 3000 / 48
= 62.5 yards
For Length = 36 yards,
Width = Area / Length
= 3000 / 36
= 83.33 yards
Therefore, the width of the plot depends on the length chosen and they are inversely proportional. When the length increases, the width decreases, and when the length decreases, the width increases.
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PLEASE HELP SOLVE THIS SLOPE
Answer:
D
Step-by-step explanation:
1. Find which of these 4 (four) has a y-intercept of positive 4, in this case, B and D. Recall, that the y-intercept means when X is 0 (zero) what is the value of Y?
2. Find the slope of B and D
The formula to find slope is change in y/change in x (Y/X)
B:
X: 0 - 4 = -4
Y: 4 - 0 = 4
4/-4 = -1
D:
X: 0 - -4 = 4
Y: 4 - 0 = 4
4/4 = 1
suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. how many steps would he have to take to make the cut for the top 5% for his distribution?
The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.
The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.
Suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. So, the population parameters are:
Mean=μ=10,000
Standard Deviation=σ=1,500
We need to find the number of steps he would have to take to make the cut for the top 5% for his distribution.
Step 1: We need to find out the z-score for the top 5% of the distribution.
We can find out the z-score for the top 5% of the distribution using the standard normal distribution table. The table value of z for 0.05=1.645. Check the attachment.
Step 2: We can use the z-score formula to find out the value of X for the top 5% of the distribution.
z=(X-μ)/σ
Rearranging the above equation, we get:
X=μ+z.σ
X=10,000+1.645×1,500
X=12,031.5
Therefore, It would take him 12,031.5 steps to make the top 5% for his distribution.
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Each number in the table below represents the number of employees at different stores in
two nearby malls.Part A
Determine the interquartile range for numbers of employees at each mall. Show your work or
explain your reasoning.
Part B
Which mall would you expect to have greater variability in regard to numbers of employees?
Show your work or explain your reasoning.
(A) The interquartile range for numbers of employees at Mall A is 65 and at Mall B is 7.5. (B) Mall B would we expect to have greater variability in regard to numbers of employees.
Part A: To determine the interquartile range (IQR) for numbers of employees at each mall, we first need to find the median for each mall. The median is the middle value of a set of data when arranged in order.
For Mall A:
Arrange the numbers in ascending order: 18, 20, 21, 22, 25, 26, 27, 28, 28, 29
The median is the average of the two middle numbers, which are 25 and 26.
Median = (25 + 26) / 2
= 25.5
Next, we need to find the first quartile (Q1) and the third quartile (Q3). The first quartile is the median of the lower half of the data, and the third quartile is the median of the upper half of the data.
For Mall A:
Lower half: 18, 20, 21, 22, 25
Upper half: 26, 27, 28, 28, 29
Q₁ = median of the lower half
= (21 + 22) / 2
= 21.5
Q₃ = median of the upper half
= (28 + 28) / 2
= 28
The interquartile range for Mall A is:
IQR = Q3 - Q1
= 28 - 21.5
= 6.5
For Mall B:
Arrange the numbers in ascending order: 19, 21, 23, 24, 25, 26, 27, 29, 30, 33
The median is the average of the two middle numbers, which are 25 and 26.
Median = (25 + 26) / 2
= 25.5
Lower half: 19, 21, 23, 24, 25
Upper half: 26, 27, 29, 30, 33
Q₁ = median of the lower half
= (21 + 23) / 2
= 22
Q3 = median of the upper half
= (29 + 30) / 2
= 29.5
The interquartile range for Mall B is:
IQR = Q3 - Q1
= 29.5 - 22
= 7.5
Part B: To determine which mall would have greater variability in regard to numbers of employees, we can compare the interquartile ranges for each mall. The interquartile range measures the spread of the middle 50% of the data. The larger the interquartile range, the greater the variability.
In this case, Mall B has a larger interquartile range than Mall A (7.5 vs. 6.5). This suggests that there is greater variability in the number of employees at Mall B.
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pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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25 POINTS
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
h⊥f
b⊥h
g || h
b || g
The false statement will be g || h since, Line H can not be parallel to , line G or line F.
This is further explained below.
What are parallel lines?Line B ║ Line F
Line G ║ Line F
In most cases, two lines that are parallel to one another will also be parallel to one another.
Line G ║ Line F ║Line B
In conclusion, If there is more than one line that is parallel to another in a plane, and another line in the plane is perpendicular to one of the parallel lines, then that other line is perpendicular to all of the parallel lines.
Hence
Neither line G nor line F may be parallel to line H. Option D
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you need to find the area in this please help
ok for what i got is 3468750
I don't know how I got it but I think you need to multiply the area
please forgive me if I am wrong.
anyone this help ,,,,,
=======================================================
Explanation:
We start with set M = {m,a,t,h,s}
Then we cross off any letter we find in set N
So we'll cross off the 'm' and 'a' since they are both in N. We're kicking these letters out of the set.
We go from {m,a,t,h,s} to {t,h,s}
We leave t,h and s alone as those letters aren't in set N. So we don't kick them out.
Answer: {t,h,s} choice A
you toss two number cubes. the sum of the numbers is greater than 5. what is the probability that you tossed the same number on each cube?
Answer:
\(\frac{2}{13}\)
Step-by-step explanation:
The question states that the sum is greater than 5 so your entire probability pool is 26, not 36.
*** There are 10 sums that are less than or equal to five:
(1, 2, 2, 3, 3, 3, 4, 4, 4, 4)
Therefore there are 26 sums left.
NEXT, there are only 4 scenarios where the two dice are the same number but equal to a sum greater than five:
(6+6 = 12, 5+5 = 10, 4+4 = 8, 3+3 = 6)
Therefore you write 4/26 which simplifies to:
2/13
Adrian buys a one-gallon bottle of juice for $17.92. What is the unit rate of the cost of
the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup 8 fluid ounces
=
Before you try that problem, answer the question below.
How many fluid ounces of juice did Adrian buy?
Answer:
128 fluid ounces per gallon.
Unit rate = $0.14 per fluid ounce of juice.
Step-by-step explanation:
Given:
1 gallon = 4 quarts1 quart = 2 pints1 pint = 2 cups1 cup = 8 fluid ouncesTherefore, the number of fluid ounces in 1 gallon is:
⇒ 4 × 2 × 2 × 8 = 128 fluid ounces
Therefore, Adrian bought 128 fluid ounces of juice.
To find the unit rate of the cost of the juice per fluid ounce, divide the cost per gallon by 128:
\(\implies \dfrac{17.92}{128}=0.14\)
Therefore, the unit rate of the cost of the juice per fluid ounce is $0.14.
30x^3+35x^2-15x
factoring by gcf plss help
5x(2x+3)(3x-1)
Ans:5x
Which system of inequalities is shown in the graph?
Answer:
B.
Step-by-step explanation:
The slope of the line is positive, eliminating choice A.
The shading is below both boundary lines, eliminating choices C and D.
Choice B correctly identifies the inequalities on the graph.
_____
The line has a slope = rise/run = 2/1 = 2. Its y-intercept is -2.
The quadratic has zeros (x-intercepts) at x=0 and x=3, so factors as x(x -3) and expands to x^2 -3x. When the shading is below the curve, the inequality will be of the form y ≤ ( ). That is, y-values in the solution set will be less than or equal to those on the curve.
Please answer my question quickly.
Answer:
b=sqrt7
Step-by-step explanation:
16=9+b^2
the price of a jar of peanut butter went from $ 5.99 to $ 6.89 . what was the percent change in the price?
Using Percentage formula , The change in the price of a jar of peanut butter is 15.02%.
Percentage : It is defined as a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
First of we need to calculate difference between initial price and final price to
get the change in price.
Initial Price of jar of peanut butter = $ 5.99
Final price of jar of peanut butter = $ 6.89
Change in price of a jar of peanut butter = final price of jar of peanuts butter - initial price of jar of peanuts butter
= $ 6.89 - $ 5.99 = $ 0.9.
Percent change in price = ((Change in Price)/(initial price))× 100
percent change = (0.9/5.99)× 100 = 15.02
Hence, 15.02% is the change in price of a jar of peanuts butter.
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please help asap!!
Answer this using a graphing method please!
Answer:
the connection is at 4 on x axis and 5 on y axis, so the solutions are x=4; y=5
Please help me answer this, along with a mathematical explanation!
Find x.
Answer:
Please refer photo for answer
Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $875.00. On Saturday, the store will have a sale and discount the computer by 30%. How much will Lea pay (without tax) when she buys the computer with a 30% discount? Help please this is due in 15 min thank you!! with explanation
A) $262.50
B) $350.00
C) $612.50
D) $1,137.50
Answer:
C)$612.50
Step-by-step explanation:
Plss make me BRAINLIEST
If there is 30% discount, u will pay 70%(7/10) of actual price.
70% of $871
7/10 x 871 = $612.50
Answer:
$612.50
Step-by-step explanation:
875 x 30% = 262.50
875- 262.50= $612.50
71.5*(-9.2)
A. –657.8
B. –65.78
C. 65.78
D. 657.8
Answer:
(A)
Step-by-step explanation:
you can multiply normally like 71.5 × -9.2 =-657.8
What is the surface area of a cylinder with base radius 3 and height 8?
Answer:
A=A(base)+A(lateral)
Step-by-step explanation:
A=A(base)+A(lateral)
A=pi*3^2+2*pi*3*8=179.07
What is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result? entanglement factorization interference superposition i don't know this yet.
The term for breaking a number into smaller sections and multiplying these numbers is factorization.
What is factorization?This is a common method used in math that implies breaking a big number into smaller ones and then multiplying the numbers. This multiplication should lead you to the original number.
What is an example of factorization?120 can be broken as 12 and 10, then 12 × 10 = 120
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Gerard tales 30 minutes to run 6000 metres at a steady speed. How long would he take to run 1 kilometre at the same steady speed
Answer: He would take 0.0833 hour or 5 mins
Step-by-step explanation:
Given that Gerard ran a 6000 metres in 30 minutes, Speed becomes
Speed =distance / time
But time to hours becomes 30/ 60=1/2=0.5hr
and meters to kilometres becomes 6000/1000=6 km
Speed =6/0.5 =12 km/h
Now if he runs 1 kilometre at same speed of 12 km/h . he will take
Time =distance/ Speed
Time =1/12=0.0833 hour Changing to mins becomes 0.08333 x 60=5 mins
the radius of a circular disk is given as 19 cm with a maximum error in measurement of 0.2 cm. (a) use differentials to estimate the maximum error (in cm2) in the calculated area of the disk. (round your answer to two decimal places.) cm2 (b) what is the relative error? (round your answer to four decimal places.) what is the percentage error? (round your answer to two decimal places.)
a) The maximum error in the calculated area of the disk = 23.87 cm²
b) The relative error is: 0.0211 and the percentage error is 2.11%
Let us assume that r represents the radius of the circular disk and A represents the area.
Here, the radius of a circular disk is given as 19 cm
So, r = 19 cm
and the radius has a maximum error in measurement of 0.2 cm.
So, dr = 0.2
The area of the circular disk would be,
A = πr² ..........(1)
A = π × 19²
A = 361π cm²
Differentiating equation (1) with respect to r,
dA = 2πr × dr
dA = 2 × π × 19 × 0.2
dA = 7.6π
dA = 23.87 cm²
So, the maximum error in the calculated area is: 23.87 cm²
Now we find the relative error.
R = dA/A
R = 7.6π / 361π
R = 0.0211
And the percentage error would be:
P = relative error × 100
P = 0.0211 × 100
P = 2.11%
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It is possible to trisect a line segment using only a straightedge and compass.
True or false?
Answer:
True if the question means a compass and straight edge.
Step-by-step explanation:
Its quite easy to split a line into any number of parts. This can be done by a scaling operation.
Answer:
True
Step-by-step explanation:
Yes, if the question means a compass and straight edge. Its quite easy to split a line into any number of parts. This can be done by a scaling operation.
Pls, choose me as brainliest!
consider the sequence {12, 5, -2, -9, -16 ... } select all the items that define the sequence
Arithmetic sequence {12, 5, -2, -9, ...} defined by first term 12 and common difference -7.
What is arithmetic sequence ?
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence.
The sequence {12, 5, -2, -9, -16 ... } can be defined by the following items:
The first term: 12
The common difference: -7
The pattern of adding the common difference to find the next term.
Therefore, all the items that define the sequence are:
The first term: 12
The common difference: -7
This sequence is an arithmetic sequence.
Arithmetic sequence {12, 5, -2, -9, ...} defined by first term 12 and common difference -7.
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4+(-7)-(-3) What will be the answer ?
perform the indicated operation 1. (12 + 3) - 7 = N
Answer:
N = 8
Step-by-step explanation:
(12 + 3) - 7 = N
=> N = (12 + 3) - 7
=> N = 15 - 7
=> N = 8