Answer:
[tex]\frac{-D}{4a}[/tex]
Step-by-step explanation:
y-coordinate is [tex]\frac{-D}{4a}[/tex] where a is coefficient of quadratic polynomial (ax^2+bx+c) and D is discriminant of the quadratic equation when you equate it to zero.
Which benchmark fraction is
Please help I’m stuck
Hello,
Step-by-step explanation:
6/7 ≈ 0,857
we have 4/4 = 1 and 3/4 = 0,75
| 0,75 - 0,857| = 0,107
| 1 - 0,857 | = 0,143
→ Answer is 3/4
Answer:
the bench mark is 1/4 and the lower range is 3/4.
Step-by-step explanation:
Estimate the fraction 6/7 using 1/4 as our benchmark: Display the fraction bar for 6/7 The lower range is 3/4 and the upper range is 1
The boxed definition of absolute value states that |a|=-a if a is a negative number. Explain why |a| is always nonnegative, even though |a|=-a for negative values of a.
Final answer:
Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.
Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.
Step-by-step explanation:
Step 1
It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.
Step 2
This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.
Choose the best selection for the
quadrilateral with vertices at the
following points:
(1,0), (1,4), (6,0), (6,4)
Hint: Start by graphing the points.
Distance Formula: d= √(x2-x1)² + (y2 − ₁)²
A. Rectangle
C. Rhombus
B. Square
D. Trapezoid
Answer: a rectangle
Step-by-step explanation:
If you graph the points out you will see that it is four points high and six points wide
Answer:
It is A.Rectangle. from the given points.
Step-by-step explanation:
the graph is given in the image.
I hope it to be helpful ^=^
! PLS HELP ! There are a total of 30 white and black marbles in a box. There are 14 more white marbles than black marbles. How many black marbles are in the box?
Answer:
There are 8 black marbles.
Step-by-step explanation:
First, set up your equation. You have black (b) and white (w) marbles, total of 30, so those will be your variables to set in your equation.
w + b = 30
You mentioned that there are 14 more white marbles then black. Therefore, white marbles will have b many marbles + 14, creating the equation:
w= b + 14
If w = b + 14 and w can be easily substituted in the first equation, substitute w for b + 14. This will result in having the equation of:
(b +14) + b= 30
Simplify this equation, combine like terms to break down the equation, making it easier for you to solve for b.
-Subtract 14 from both sides.
-Add b + b = 2b
Then, you will have your resulting equation in which you divided 2 from both sides to get b by itself.
2b = 16
b=8
There are 8 black marbles.
The probability all of the students in this class will be present and on time is 3/10. The probability all of the students are present is 2/5. What is the probability that everyone is on time given that everyone is present? Give your answer as a simplified fraction.
Answer:
3/4
Step-by-step explanation:
A: students present
B: students on time
P(all students present and on time) = P(A and B) = 3/10
P(all students present) = P(A) = 2/5
P(A and B) = P(A).P(B|A) where P(B|A) is the probability of everyone being on time given that everyone is present
So P(B|A) = P(A and B) /P(A) = 3/10 ÷ 2/5 = 3/10 * 5/2 = 15/20 which can be reduced to 3/4 by dividing numerator and denominator by 5
Ulises lives 11 miles from school. Convert the distance to feet
Answer:
58080
Step-by-step explanation:
You just have to multiply it by 5280. So, 11*5280 is 58080. The answer is 58080.
Suppose 4y – 1 = 15 and y = 5x – 3.
Which of the following equations is equivalent to 4y – 1 = 15, but written only in terms of x?
The equivalent equation of 4y – 1 = 15 is 20x - 13 = 15
How to determine the equivalent equation?The equations are given as:
4y – 1 = 15 and y = 5x – 3.
Substitute y = 5x – 3. in 4y – 1 = 15
4(5x – 3) – 1 = 15
Expand
20x- 12 - 1 = 15
Evaluate the like terms
20x - 13 = 15
Hence, the equivalent equation of 4y – 1 = 15 is 20x - 13 = 15
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I have no idea what to do
Answer:
[tex]x^{\frac{5}{3}} y^{\frac{1}{3} }[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{x^{5} y}[/tex] = [tex]x^{\frac{5}{3}} y^{\frac{1}{3} }[/tex]
On a coordinate plane, a line goes through (negative 4, 0) and (0, 2). The graph of the equation y = 12 x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply. y = 7x + 2 y = 3x + 5 y = 2 minus StartFraction 7 Over 3 EndFraction x y – 2 = 4x 3y = –9x – 6
The equation of line which would intersect be
y = 7x + 2 y = 2- 7/3x y-2 = 4xWhat is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
y = 12 x + 2
and, a line passes through (-4, 0) and (0, 2)
Equation of line
y = -1/2 (x+ 4)
y= -x/2 - 2
The equations which would intersect the line will be
y = 7x + 2 y = 2- 7/3xy-2 = 4xLearn more about equation here:
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linear pairs of angles are always adjacent true or false
The statement that linear pairs of angles are always adjacent is true.
What are Linear Pairs?
The pair of angles formed when two lines intersect each other at a point, are called Linear Pairs, the angles formed are adjacent to each other and they share a common arm.
It is asked in the question that linear pairs of angles are always adjacent and the answer is yes, it is a true statement as they have a common arm and an uncommon arm, the sum of the angles is equal to 180 degrees.
Hence, the statement that linear pairs of angles are always adjacent is true.
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A can do a piece of work in 40 days. He works at it for 5 days and then B finishes it in 10 days.
In what time can A and B together finish it ?
Answer:Given
a can do a piece of work = 40 days
so, A's 1 day work =1/4
so, A's 8 day's work =8/40=1/5
remaining work = 1- 1/5= 4/5
Now, B can do 4/5 piece of work in =16 days
So, B’s 1 day's work = (4/5) /16= 4/ 5x6=1/20
Therefore, (A+B)’s 1 day's work = 1/40+1/20 =
1+2/40=3/40
∴ Both (A+B) can do a piece of work in =
1/days (3/40) = 40/3 days
= 13 1/3 days
Margaret makes bracelets and sells them to tourists. the function s(t) approximates how many bracelets margaret makes per hour. the function w(h) represents how hours per week margaret spends making bracelets. what are the units of measurement for the composite function s(w(h))?
The units for the composite function s(w(h)) is bracelets over a week when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.
To define the unit of the composite function s(w(h)), we first need to find the units of the functions s(t) and w(h).
The function s(t) represents the number of bangles per hour, so its unit will be bangles over an hour.
The function w(h) represents the hours per week spent on making the bracelets, so its unit will be hours over a week.
Now, we can define the unit of the composite function s(w(h)).
To find the unit of the composite function we follow these steps:-
s(w(h)),
= s(hours over a week) {replacing the function w(h) by its units},
= (bangles over an hour(hours over a week)) {replacing the function s(t) with its units},
= bangles over a week {Simplifying}.
Thus, the units for the composite function s(w(h)) is bracelets over a week when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.
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Simplify (x^2)^3*5x/6x^2*15x^3
When we Simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3], the result obtained is (1/18)x^2
Data obtained from the question[(x^2)^3 × 5x] / [6x^2 × 15x^3]Simplification =?How to simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3][(x^2)^3 × 5x] / [6x^2 × 15x^3]
Recall
(M^a)^b = M^ab
Thus,
(x^2)^3 = x^6
[(x^2)^3 × 5x] / [6x^2 × 15x^3] = [x^6 × 5x] / [6x^2 × 15x^3]Recall
M^a × M^b = M^(a+b)
Thus,
x^6 × 5x = 5x^(6 + 1) = 5x^7
6x^2 × 15x^3] = (6×15)x^(2 + 3) = 90x^5
[x^6 × 5x] / [6x^2 × 15x^3] = 5x^7 / 90x^5Recall
M^a ÷ M^b = M^(a - b)
Thus,
5x^7 ÷ 90x^5 = (5÷90)x^(7 - 5) = (1/18)x^2
Therefore,
[(x^2)^3 × 5x] / [6x^2 × 15x^3] = (1/18)x^2Learn more about algebra:
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Over the past five years, an analyst records the annual returns (in percent) for a mutual fund as: 13, −2, 3, 18, and −14. Construct the 95% confidence interval for μ.
The required confidence interval for μ is (-12.07, 19.27 )
Annual returns (in percent) for a mutual fund as: 13, −2, 3, 18, and −14
95% Confidence interval
The statistic is the study of mathematics which deal with relations between comprehensive data.
Mean(x) = 13-2+3+18-14/5
x = 3.6
Standard deviation = [tex]\sqrt{\frac{\sum(x_i- x)^2}{n-1} }[/tex]
S = 12.6214
Point estimate of (μ) = 3.6
Confidence interval = mean (+,-) Tc x S/√5
= 3.6 (+,-) 2.7764 x 12.62/√5
=3.6 (+,-) 15.671
= (-12.07, 19.27)
Thus, the required confidence interval for μ is (-12.07, 19.27 ).
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Whats the correct answer answer asap for brainlist
Answer: C.) Earthquakes
Two cars leave town at the same time one travels West at 56 miles per hour and the other travel south at 42 miles per hour after 1 hour how far apart are the cars
On March 4, Micro Sales makes $13,500 in sales on bank credit cards which charge a 3% service charge and deposits the funds into Micro Sales' bank accounts at the end of the business day.
Required:
Journalize the sales and recognition of expense. Refer to the Chart of Accounts for exact wording of account titles. Round your answers to two decimal places.
Based on the sales made by Micro Sales on bank credit cards, the journal entries would be:
Date Account Title Debit Credit
March 4 Cash $13,095
Card Service expense $ 405
Sales Revenue $13,500
How is the transaction by Micro Sales recorded?The cash account will be debited with:
= 13,500 x (1 - 3%)
= $13,095
The Card service expense is:
= 13,500 x 3%
= $405
Sales revenue will be credited by the amount of sales which is $13,500.
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What is a possible value for the missing term of the geometric sequence? 25,_,874,…
Answer:
The middle term is 5√874======================
Given sequence25, x, 874, ...To findThe missing term xSolutionSince the given is the GP, find the common ratio in terms of given values:
r = x/25r = 874/xEquate the two values and solve for x to find the missing term:
x/ 25 = 874/xx² = 874*25x² = 21850x = √21850x = 5√874Choose the number sentence that applies the commutative property to the example.
3 × 4 = 12
6 + 6 = 12
12 × 1 = 12
6 × 2 = 12
4 × 3 = 12
2(3-x)-1.4(5-2x)=2x+5.3
Answer:
x=-5.25
Step-by-step explanation:
Original equation:
[tex]2(3-x)-1.4(5-2x)=2x+5.3[/tex]
Distribute:
[tex]6-2x-7+2.8x=2x+5.3[/tex]
Group like terms:
[tex](6-7)+(2.8x-2x)=2x+5.3[/tex]
Add like terms:
[tex]-1+0.8x=2x+5.3[/tex]
Add 1 to both sides
[tex]0.8x=2x+6.3[/tex]
Subtract 2x from both sides
[tex]-1.2x=6.3[/tex]
Divide both sides by -1.2
[tex]x=-5.25[/tex]
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answer:
The value of x =2 and y= 2, because they are congruent and 2+2=4
Answer:
The value of x =2 and y= 2, because they are congruent and 2+2=4
Step-by-step explanation:
hope this helps :)
Which line is perpedicular to a line that has a slope of 1/2?
A trader bought 150 articles for $270.00. If he made
profit of 27%, find the selling price for each article
Answer:
$2.29
Step-by-step explanation:
$270 + 27% = $270 + (270 * 0.27)
= $270 + 72.9
= $342.9
$342.9 was the total selling price, but there are 150 articles.
$342.9 / 150 = $2.286
= $2.29 (Currency is rounded to two decimal places)
These points are linear.
Find the slope.
x-3-2-1 0 1 2
y-8 0 8 16 24 32
slope = [?]
Enter
Answer:
slope = 8
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 8) and (x₂, y₂ ) = (2, 32) ← 2 ordered pairs from the table
note any pair of ordered pairs will give the slope
m = [tex]\frac{32-(-8)}{2-(-3)}[/tex] = [tex]\frac{32+8}{2+3}[/tex] = [tex]\frac{40}{5}[/tex] = 8
3,5,12,55,648? vwhat is the next number
Hello,
Answer:
The next number is 35 585
Step-by-step explanation:
3 × 5 - 3 = 12
5 × 12 - 5 = 55
12 × 55 -12 = 648
55 × 648 - 12 = 35 585
The next number for the given series is 35,585.
What is number series?A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series. These series vary in nature, as do the questions that may arise from them.
Given that the series is 3,5,12,55,648. The next number will be calculated by decoding the series as below,
3 × 5 - 3 = 12
5 × 12 - 5 = 55
12 × 55 -12 = 648
55 × 648 - 12 = 35,585
Therefore, the value of the next number for the series is 35,585.
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Hell don’t understand homework If f(x)=
5x-1
Answer:
(a) -1
(b) 4
(c) 14
(d) 61
Step-by-step explanation:
A piecewise function is a function which has different definitions for different intervals of x.
Given:
[tex]f(x)=\begin{cases}5x-1 \quad \textsf{if }-5\leq x \leq 3\\x^3-3 \quad \textsf{if }\:\:\:\:\:\:3 < x \leq 4\end{cases}[/tex]
f(x) has 2 definitions:
Definition 1
[tex]5x-1[/tex] when x is more than or equal to -5 and less than or equal to 3. This is a linear function.
Definition 2
[tex]x^2-3[/tex] when x is more than 3 and less than or equal to 4. This is a cubic function.
Part (a)
We have to find f(0), so when x = 0.
x = 0 satisfies the condition -5 ≤ x ≤ 3 so the corresponding function is
[tex]f(x)=5x-1[/tex]
Substitute x = 0 in this definition:
[tex]\implies f(0)=5(0)-1=-1[/tex]
Part (b)
We have to find f(1), so when x = 1.
x = 1 satisfies the condition -5 ≤ x ≤ 3 so the corresponding function is
[tex]f(x)=5x-1[/tex]
Substitute x = 1 in this definition:
[tex]\implies f(0)=5(1)-1=4[/tex]
Part (c)
We have to find f(3), so when x = 3.
x = 3 satisfies the condition -5 ≤ x ≤ 3 so the corresponding function is
[tex]f(x)=5x-1[/tex]
Substitute x = 3 in this definition:
[tex]\implies f(0)=5(3)-1=14[/tex]
Part (d)
We have to find f(4), so when x = 4.
x = 4 satisfies the condition 3 < x ≤ 4 so the corresponding function is
[tex]f(x)=x^3-3[/tex]
Substitute x = 4 in this definition:
[tex]\implies f(4)=(4)^3-3=61[/tex]
Which
graph shows a dilation?
(02.02 LC)
If h(x) = −2x − 10, find h(−4).
Group of answer choices
−2
−18
−3
−16
The value of the function h(-4) is (a) -2
How to determine the h(-4)?The function is given as
h(x) = -2x - 10
When x = -4, we have:
h(-4) = -2 * -4 - 10
Evaluate the product
h(-4) = 8 - 10
Evaluate the difference
h(-4) = -2
Hence, the value of the function h(-4) is (a) -2
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What is the median of the data set 50,54,62,48,49,52
Answer:
51
Step-by-step explanation:
arrange in ascending order
48,49,50,52 54,62
number of terms=6
median=(3rd term+4th term)/2=(50+52)/2=102/2=51
Answer:
51
Step-by-step explanation:
Hope it helps
The following stem-and-leaf plot represents the test scores for
26 students in a class on their most recent test. Use the data provided to find the quartiles.
Stem
Leaves
6 0 1 2 2 4 7 8
7 0 1 2 5 8
8 3 6 6 7 9 9
9 0 1 2 2 2 4 5 8
Key:
6|0=60
To find the second quartile, we must first divide the data in half. There are an even number of data values, so the 50th percentile, or median, is the arithmetic mean of the two values in the middle of the set. Thus, the median is the mean of the 13th data value,
83 and the 14th data value, 86
83+86/2=84.5
Therefore, the second quartile is 84.5
Step 2 of 3 : Find the first quartile.
Considering the given stem-and-leaf plot, the quartiles are given as follows:
The first quartile is of 67.5.The second quartile, which is the median, is of 84.5.The third quartile is of 91.5.What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.There is an even number of elements(26), hence the median is the mean of the 13th and 14th elements, which are 83 and 86, hence:
Me = (83 + 86)/2 = 84.5.
The first half has 12 elements, hence the first quartile is the mean of the 6th and 7th elements, which are 67 and 68, hence:
Q1 = (67 + 68)/2 = 67.5.
The third half also has 12 elements, starting at the second 86, hence the third quartile is the mean of the 6th and 7th elements of this half, hence:
Q3 = (91 + 92)/2 = 91.5.
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