Answer:
[tex]\huge\boxed{\sf x =5 \ \ \ OR \ \ \ x = 1}[/tex]
Step-by-step explanation:
Given equation:[tex]x^2-6x+5=0[/tex]
Using mid-term break formulaMultiply -5 and -1 gives +5 (side term) and adding them gives -6 (mid term).So, split -6 into -5 and -1[tex]x^2-5x-x+5=0\\\\Take \ common\\\\x(x-5)-1(x-5)=0\\\\Take \ (x-5) \ common\\\\(x-5)(x-1)=0[/tex]
Either,
x - 5 = 0 OR x - 1 = 0
x = 5 OR x = 1[tex]\rule[225]{225}{2}[/tex]
A piecewise function g(x) is represented by the graph.
Which functions represent a piece of the function? Select three options.
g(x) = −2x, −2 < x < 0
g(x) = −2, x < −2
g(x) = x − 2, −2 < x < 1
g(x) = −2x + 6, x ≥ 1
g(x) = + 1, –2 ≤ x < 1
For different function different results are shown below.
What is Function?A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.
g(x) = −2x, −2 < x < 0
Answer:
NO. Because g(x) = −2x has negative slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upward so that can't be answer.
g(x) = −2, x < −2
Answer:
YES. Because g(x) = −2 is a horizontal line which is only on the left side of x=-2. Graph of this part is present in given graph. So yes it is answer.
g(x) = x − 2, −2 < x < 1
Answer:
NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 but there is no such graph. Hence this can't be answer.
g(x) = −2x + 6, x ≥ 1
Answer:
YES. Because g(x) = −2x+6 satisfies the graph which is going downward.
g(x) = x/2+ 1, –2 ≤ x < 1
Answer:
YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.
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Answer: i think this is the answer sorry if i am wrong.
g(x) = −2, x < −2,
g(x) = −2x + 6, x ≥ 1,
g(x) = x/2 + 1, –2 ≤ x < 1
Step-by-step explanation:
Here is the graph
Evaluate:
10
Σ¹0 4(1)n-1 = [?]
Round to the nearest hundredth.
Enter
Answer:
Using the formula of geometric progression, we get 5.3333333. After rounding off to the nearest hundredth or to the two digit place after the decimal, we get 5.33.
Step-by-step explanation:
Concept: Given expression means that [tex]4(\frac{1}{4} )^{n-1}[/tex] is a series that starts from n = 1 and ends at n = 10. Or we can say that the given expression is a summation from n = 1 to n = 10. This will make a geometric progression. Use the formula of geometric progression to find the answer.
[tex]4(\frac{1}{4})^{0} + 4(\frac{1}{4})^{1} + 4(\frac{1}{4})^{2} +...+ 4(\frac{1}{4})^{10}\\4\frac{-(\frac{1}{4} )^{11} +1}{-\frac{1}{4} +1} \\4\frac{1}{\frac{3}{4} } \\\frac{16}{3} \\5.33333333\\[/tex]
Now, we want the answer to the nearest hundredth. This means that the answer should have two digits after the point.
The answer, to the nearest hundredth is 5.3333333
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We can describe 3x- 2 as an expression. How can we describe the parts of the expression that the arrows point to? 3x- 2
Step-by-step explanation:
3x - 2 is formatted in the formula y = mx + c
To substitute for 3x - 2
y = 3x -2
On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos.
(a) On that date, how many dollars was 149.23 pesos worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many pesos was 63.64 dollars worth?
Round your answer to the nearest hundredth of a pesos. I need help with these problems
On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
One U.S. dollar = 19.61 Mexican pesos
a) 149.23 pesos = 149.23 pesos * One U.S. dollar per 19.61 Mexican pesos = 7.61 dollars
b) 63.64 dollars = 63.64 dollars * 19.61 Mexican pesos per dollar = 1247.98 pesos
On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos
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what is the %rf for .04?
Question Content Area
If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400 is
a.16,173 units
b.20,217 units
c.24,260 units
d.30,325 units
The correct answer is option b which is the break-even quantity will be 20217 units.
What is the break-even point?
The point at which the company will not have any profit and loss on the products they manufactured they only get the amount they invested in manufacturing the product is called the break-even point.
Given that:-
If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400.
The formula for calculating break-even quantity will be given as:-
[tex]BEQ = \dfrac{FC}{SP-VC}[/tex]
Here,
FC = Fixed cost = $281000
SP = Selling price = $33
VC = Variable cost = $21
The fixed cost is reduced by $38400 so the fixed cost now:-
FC = $281000 - $38400
FC = $242600
[tex]BEQ = \dfrac{242600}{33-21}[/tex]
BEQ = 20217 units
Therefore the correct answer is option b which is the break-even quantity will be 20217 units.
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Kylee is playing a game she has to receive more than 20 points average of five games to move onto the next level which inequality represents the situation is T represents the total number of points Kylee earned for five games
Answer:
25
Step-by-step explanation:
bc i guess
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.
Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].
The given coordinates of the given table are (-3,15), (-2,-5), (-1,0), (0,5), and (1,0).
We need to write a valid prediction about the continuous function f(x).
What is the continuous function?In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.
Now, it is clear from the values of f(x) with respect to x, that the function reaches zero at x = -1, then goes up to 5 at x = 0 and then again reaches zero at x = 1.
So, the value of f(x) remains positive within the interval of [-1,1].
Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].
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least common denominator of 1
[tex] \frac{1}{6} \: and \: \frac{7}{9} [/tex]
I need to use factorial the! When you use the binomial probability formula and I need to show step-by-step for for a through c
Given the number of trials and the probability of success, determine the probability indicated: (Hint use binomial distribution formula use factorials ! in showing your work)
n = 15, p = 0.4, find P(4 successes)
n = 12, p = 0.2, find P(2 success )
n = 20, p = 0.05, find P(at most 3 successes)
(hint for c.
P (at most 3 successes) = P(x ≤3)= P(x= 0) + P(x = 1)+ P(x = 2)+ P(x = 3)
Using the binomial distribution, it is found that the probabilities are:
P(X = 4) = 0.1268.P(X = 2) = 0.2835.[tex]P(X \leq 3) = 0.9841[/tex]What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.Exercise 1:
The parameters are:
n = 15, p = 0.4, x = 4.
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{15,4}.(0.4)^{4}.(0.6)^{11} = 0.1228[/tex]
Exercise 2:
The parameters are:
n = 12, p = 0.2, x = 2.
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{12,2}.(0.2)^{2}.(0.8)^{10} = 0.2835[/tex]
Exercise 3:
The parameters are:
n = 20, p = 0.05.
The probability is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Using the binomial formula for each value and adding them:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9841[/tex]
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Need help with this geometry question
Answer: QN=19
Step-by-step explanation:
Diagonals of an isosceles trapezoid are congruent, so NQ=PM.
By the segment addition postulate, NQ=QR+RN=3x+7.
So,
[tex]6x-5=3x+7\\\\3x-5=7\\3x=12\\\\x=4[/tex]
So, [tex]QN=3(4)+7=\boxed{19}[/tex]
Guys i just cant do this my brain doesnt work right now
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step explanation:
To find the gradient of the graph, we use the formula,
[tex]gradient \: (m) = \frac{(y2 - y1)}{(x2 - x1)} [/tex]
From the graph, we obtain values for x and y
x1 = 4, x2 = 8
y1 = 2, y2 = 3
Substitute the values into our formula.
[tex]m \: = \frac{(3 - 2)}{(8 - 4)} \\ = \frac{1}{4} [/tex]
Therefore, the gradient, m, =
[tex] \frac{1}{4} [/tex]
Note:-
Use the above formula when determining the gradient of the graph.Obtain the values of x and y then subtract [∆y] and [∆x].Divide the twoWhat is a necessary step for constructing perpendicular lines through a point off the line?
Answer:
Find another point on the perpendicular line.
Step-by-step explanation:
Given an original line "m", and a point off the line "Q", in order to construct a second line "p", meant to be perpendicular to "m" through the point "Q", fundamentally, the only truly necessary step to construct a perpendicular line through is to find another point on the yet-to-be-found perpendicular line.
Most often, this is accomplished by exploiting the fact that "p" is the set of all points that are equidistant from any pair of points that are symmetric about "p".
Since the symmetry must be about "p", and we don't even know where "p" is, one often finds two points on "m" that are equidistant from "Q".
This can be accomplished by adjusting a compass to a fixed radius (larger than the distance from "Q" to "m"), and making an arc that intersects "m" in two places. Those two places will be equidistant from "Q", and are simultaneously on line "m". Thus, these two points, "A" & "B" are symmetric about "p".
Since "A" & "B" are symmetric about "p", they are equidistant from "p", and are on "m". One could try to find the point of intersection between "p" and "m" through construction, but this is unnecessary. We need only find a second point (besides "Q") that is equidistant from "A" & "B", which will necessarily be a point on "p", to form the line perpendicular to "m".
To do this, fix the compass with any radius, and from "A" make a large arc generally in the direction of "B", and make the same radius arc from "B" in the direction of "A" such that the two arcs intersect at some point that isn't "Q". This point of intersection we can call point "T", and the line QT is line "p", the line perpendicular to the original line, necessarily containing "Q".
What is the surface area of the image below?
Answer:
Step-by-step explanation:
Comment
I'm going to assume that this is not a closed figure. The top is open like a water trough for horses.
There are 2 semicircular ends which add up to 1 whole circle.
There is 1 base area. The base area has a width of one of the semicircles. It has a length of 15 cm.
Solution
2 semi circles
r = d / 2
r = 20/2
r = 10
Area = pi r^2 This area is for 2 semicircles which = 1 circle.
Area = 3.14 * 10^2
Area = 3.14 * 100
Area = 314
Trough
r = d / 2
d= 20
r = 20/2
r= 10
w = 2*pi*r / 2
w = 2*3.14 *10/2
w = 31.4 cm
L = 15 cm
Area = 15 * 31.4
Area = 471
Total Area = 785
It has been estimated that 72.7% of alcoholics need professional help to stop drinking. What is the probability that a random alcoholic can kick the habit without professional help? It has been estimated that 72.7 % of alcoholics need professional help to stop drinking . What is the probability that a random alcoholic can kick the habit without professional help ?
The probability that a random alcoholic can kick the habit without professional help is 0.273 .
What is Probability ?Probability is the study of likeliness of an event to happen.
It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.
It is given that
The alcoholics that need professional help to stop drinking is 72.7 %
Therefore the probability of this is 72.7 /100 = 0.727
The probability that they will not need professional help is given by
q = 1 - p
q = 1 -0.727
q = 0.273
Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .
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4. Three weeks later, you find a scooter on sale for $399.99, which reflects a discount rate of 30%.
What percentage of the original price is $399.99? Show the proportion to solve the equation.
What was the original price? (Hint, you will need to perform subtraction, similar to the
example).
Answer:
70%
$571.41
Step-by-step explanation:
100% means 1, or a whole thing.
Since the discount is 30% of the original price, and the original price is 100% of the original price, then
100% - 30% = 70%
With a 30% discount, you actually pay 70% of the original price.
$399.99 is 70% of the original price.
399.99 / 70% = x / 100%
70x = 100 × 399.99
x = 571.41
The original price was $571.41.
For what value of b does (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b 2 baseline = 12?
There is no solution for b.
The rule for operations done in exponents are
(a) [tex]a^m*a^n=a^{m+n}[/tex]
(b) [tex]a^m/a^n=a^{m-n}[/tex]
(c)[tex](1/a)^m=a^{-m}[/tex]
Given the expression (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b+2 baseline = 12
the expression (one-twelfth) superscript negative 2 b simplifies that [tex](1/12)^{-2b}[/tex]
12 superscript negative 2b+ 2 simplifies that [tex]12^{-2b+2}[/tex]
so the final expression (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b+2 baseline = 12 will be
[tex](1/12)^{-2b}[/tex] * [tex]12^{-2b+2}[/tex] =12
⇒[tex]12^{-(-2b)}\\[/tex] * [tex]12^{-2b+2}[/tex] =12
⇒[tex]12^{2b[/tex] * [tex]12^{-2b+2}[/tex] =12
⇒[tex]12^{2b-2b+2}[/tex]=12¹
equating the exponts of the both sides
⇒2b-2b+2=1
⇒2=1 (not accepted because un-logic condition)
Therefore there is no solution.
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Evaluate using the trigonometric ratios Tan 60° + Cos 30° sin 60° + Cot 30° /CSC 30° Sec 30°
Answer:
(24 + 3√3) / 16.
Step-by-step explanation:
Tan 60° + Cos 30° sin 60° + Cot 30 / csc 30 sec 30
= √3 + √3/2 * √3/2 + √3 / 2 * 2/√3
= 2√3 + 3/4 / 4/√3
= (8√3 + 3)/ 4 / √3
= 24 + 3√3 / 16
What is the slope of the line passing through the points (−3, −5) and (−1, −6)?
−4/3
−1/2
1/2
/34
Answer:
The slope of the line passing through the points (−3, −5) and (−1, −6) is [tex]-\frac{ 1 }{ 2 }[/tex] (-0.5)
Step-by-step explanation:
Equation of a straight line:
y = mx + b where m is the slope and b is the y-intercept
(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)
Calculating Slope (m).
m = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
m = [tex]\frac{ (-6) - (-5) }{ (-1) - (-3) }[/tex]
m = [tex]\frac{ -6 + 5 }{ -1 + 3 }[/tex]
m = [tex]-\frac{ 1 }{ 2 }[/tex]
we can take this a step further by finding the equation:
Now putting value of m in equation (i)
y = -0.5x + b
Calculating Y-intercept (b).
Lets choose the first point, (-3,-5) for calculating y-intercept:
y = mx + b
-5 = -0.5(-3) + b
-5 = 1.5 + b
-6.5 = b
b = -6.5
Now putting value of b in equation
y = -0.5x + -6.5
Answer:
-1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-6-(-5))/(-1-(-3))
m=(-6+5)/(-1+3)
m=-1/2
The solution to an inequality is given in interval notation as (2,). What is another way to represent this solution
set?
O
-
-5-4-3 -2 -1 0 1 2 3 4 5
-5-4-3-2-1 0 1 2 3 4 5
4
+
-5 -4 -3 -2 -1 0 1 2
44
3 4 5
The correct answer to this question is Option (4).
Answer:
D.
Step-by-step explanation:
EDG 2022
Randy invested $850 in a regular savings account that paid compound interest at a rate of 3.75% per year, compounded quarterly. How much
was his investment worth in three years? a.$881.88 b.$950.71 c.$100.71 d.$95.63 e. $945.63
Answer:
the answer is a.
Step-by-step explanation:
Find limit (x / 3x+2) as x approach 1
Answer:
x/ 3x + 2
x approach 1
1/3 (1) + 2
1/ 5.
Find the degree of a polynomial.
Answer:
What is Poly in gender. Gender is Gender "Female" "Non-binary" "Male". Poly is Triangle gender which means random gender.
Answer: Explanation: To find the degree of the polynomial, add up the exponents of each term and select the highest sum.
Step-by-step explanation:
On Friday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number
of hamburgers sold. How many hamburgers were sold on Friday?
Answer:792
Step-by-step explanation:
A line has slope Four-thirds. Through which two points could this line pass?
Answer:
Two points this line can pass through (1, 4/3) and (2, 8/3)
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
Given:
slope = 4 / 3equation: y = 4/3xwe can plug in a number for x to find y
when x = 0,
y = 4/3(0)
y = 0
point: (0,0)
when x = 1,
y = 4/3(1)
y = 4/3
point: (1, 4/3)
when x = 2,
y = 4/3(2)
y = 8/3
point: (2, 8/3)
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Rohan had (-4x – 12y + 6z) rupees. He spent (7x – 3y + 8z )to buy new clothes. How much is left with him now?
Question is attached………
Answer:
D
Step-by-step explanation:
the cordinate is at (-3,2)
Charlotte is running at a rate of 9 KM/H.
What is Charlotte's speed in M/S?
Answer: 5/2 M/S
Answer:
Step-by-step explanation:
[tex]9~km/h=\frac{9 \times ~1000}{1 \times 60 \times 60}=\frac{5}{2} m/s}[/tex]
Need number 7 the answer please.
Answer:
h(x) = -2|x+2| + 2
Step-by-step explanation:
let me know if you want an explanation :))
Which of the following demonstrates the Distributive Property?
3(4a + 2) = 12a + 6
3(4a + 2) = 12a + 2
3(4a + 2) = 4a + 6
3(4a + 2) = 7a + 5
Answer:
[tex]\fbox {3(4a + 2) = 12a + 6}[/tex]
Step-by-step explanation:
⇒ 3(4a + 2)
⇒ 3(4a) + 3(2)
⇒ 12a + 6
Answer:
A) 3(4a + 2) = 12a + 6
Step-by-step explanation:
This is the correct answer because the distributive property is where you break up all the numbers and pretty much that is what you do in A.
3 * 4a = 12a
3 * 2 = 6
So then, as you can see, the answer would be 12a + 6.
This is another explanation, even though they are LITERALLY the same.
Apply the distributive property.
3 (4a) + 3 ⋅ 2
Multiply 4 by 3.
12a + 3 ⋅ 2
Multiply 3 by 2.
12a + 6
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