what is 4(x-1)^2+2=10
Answers
Answer:
Answer below
Step-by-step explanation:
4(x−1)
2
=10−2
4(x−1)
2
=8
(x−1)
2
=
4
8
(x−1)
2
=2
x −1=±√
2
x−1=√
2
x-1=-\sqrt{2}x−1=−√
2
x=√
2
+1
x=−√
2
+1
x=√
2
+1,−√
2
+1
Related Questions
4y - 3 = y + 6
what is the solution to the open sentence
Answers
Answer:
y=3
Step-by-step explanation:
o
You select a marble without looking and then put it back. If you do this 12 times, what is the best prediction possible for the number of times you will pick an orange marble?
Answers
If we assume that the marbles are equally likely to be picked, then the probability of picking an orange marble is 1/3.
The number of times an orange marble is picked in 12 trials follows a binomial distribution with parameters n = 12 and p = 1/3.
The expected value of the number of orange marbles picked is given by:
E(X) = np = 12 * (1/3) = 4
Therefore, the best prediction possible for the number of times an orange marble will be picked is 4.
Answer:
The probability of selecting either a purple or a blue marble for the 6 marbles is 0.3333 or 33.33%
Step-by-step explanation:
please mark brainliest
The current in an electrical conductor varies inversely as the resistance of the conductor. If the resistance is 240 ohms when the current is 12 ampere, what is the current when the resistance is 540 ohms?
Answers
The resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.
According to the given information, the current in an electrical conductor varies inversely to the resistance of the conductor. Inverse variation can be represented mathematically as follows:
Current * Resistance = Constant
Let's denote the constant as 'k'. We can use the initial values to find the value of 'k'.
When the resistance is 240 ohms and the current is 12 amperes:
12 * 240 = k
k = 2880
Now that we have the value of 'k', we can use it to find the current when the resistance is 540 ohms:
Current * 540 = 2880
Current = 2880 / 540
Current ≈ 5.33 amperes
Therefore, when the resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.
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What expression is equivalent to 2a+20/4
A.8a+80
B.0.5a+5
C.2a+1/5
D.5.5a
E.6a+24
Answers
Answer:
None
Step-by-step explanation:
2a + 20/4
2a + 5
Best of Luck!
Answer:
2.0976637e+27 x+y+z x = x 80538738812075974, y = 80435758145817515, and z = 12602123297335631.
Step-by-step explanation: its right do the math this took me hours
Please help! Will give brainliest
Answers
Answer:
option A
Step-by-step explanation:
f(x)+g(x) will lead to addition of the fractions
LCM of 2x and x² is 2x²
{(2x²×½x)+(2x²×4/x²)}/2x²
x+8/2x²
ILL GIVE YOY BRAINLIST *have to get it right * What is the slope of the line shown in the graph?
Answers
Answer:
A
Step-by-step explanation:
3 over 2 down.
DO THE MATH: Skipper has a credit card account that charges 19% APR using 31
day billing periods. On the first day of the billing period, Skipper buys marine-grade
rope for $933 on the credit card. No other purchases are made. Skipper pays off the
purchase on day 31 at the end of the billing period. What is Skipper's finance
charge? Round your answer to the nearest penny.
Purchase
Day Description
1
Marine-grade rope
Payment
4
Amount
$933.00
Day Amount
31 $933.00
The table below will help you calculate the finance charge.
Answers
Skipper's finance charge at the end of the billing period is given as follows:
$14.77.
How to obtain the finance charge?The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.
The amount of interest accrued after t years, using simple interest, is given as follows:
I(t) = Prt.
The parameters for the equation are given as follows:
P is the principal.r is the interest rate, as a decimal.t is the time, in years.Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:
P = 933, r = 0.19, t = 1/12.
Hence the finance charge for Skipper's purchase is calculated as follows:
I = 933 x 0.19 x 1/12 = $14.77.
(rounding to the nearest penny = nearest cent).
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The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurement is closer to the length of this rectangle in feet?
A. 12.4 ft
B 13. 6ft
C 9ft
D 17 ft
I’m not sure which answer this is
Answers
Making 4^2+b^2=13^2 or
16+b=169
Take 16 from both sides
B=153 then square root both sides
B^2 or x= 12.36 or 12.4 if you choose to round up as asked in the question.
I hope this helps!
Mr hernandez wants to take the kids to movies her ticket is 10 dollars kids are 7 dollars she only wants to spend 40.
Answers
Mr Hernandez can go to movies with 4 kids and spend a total of $38 which is still within his budget of $40 i.e 1x10 + 4x7 = $38
Here is a simple maths to show how Mr Hernandez can spend $40The cost of 1 adult ticket is $10
The cost of 1 kid ticket is $7.
Total cost = (number of adults * cost of adult ticket) + (number of kids * cost of kid ticket)
Substituting the given values, we get:
Total cost = (1 * 10) + (x * 7)
where x is the number of kids
We know that Mr. Hernandez only wants to spend $40. Therefore, we can set up an equation:
Total cost <= 40
Substituting the expression for the total cost, we get:
(1 * 10) + (x * 7) <= 40
Simplifying the inequality, we get:
10 + 7x <= 40
Subtracting 10 from both sides, we get:
7x <= 30
Dividing both sides by 7, we get:
x <= 4.28 (rounded to two decimal places)
Since we can't have a fractional number of kids, we round down to the nearest integer:
x = 4
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Consider the function.
f(x) = -x-24
Which conclusions can be drawn about f'(x)? Select two options.
F1(x) has a slope of -
f'(x) has a restricted domain.
f(x) has a y-intercept of (0, -36).
F'(x) has an x-intercept of (-36,0).
f'(x) has a range of all real numbers.
Answers
Answer:
f(x) has a slope of -1 and has a range of all real numbers.
Step-by-step explanation:
A linear function is a continuous function, so that exist a range value for all value of the domain, which corresponds to all real numbers. Regarding the function described above, the y- and x-intercepts are, respectively:
x-Intercept
\(0 = - x-24\)
\(x = -24\)
f(x) has a x-intercept of (-24,0).
y-Intercept
\(f(x) = 0 - 24\)
\(f(x) = -24\)
f(x) has a y-intercept of (0, -24).
Lastly, the linear function has a slope of -1.
Answer:
D AND E
Step-by-step explanation:
edu I took it
Solve the equation 3x +10=40.
x=
Answers
Answer:
x = 10
Step-by-step explanation:
3x + 10 = 40
which X in this case means 10. Hope this helps!
X=30
Because we need x in a side and the constant numbers in the opposite side
HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answers
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
Show that the angle bisector of an equilateral triangle is perpendicular to the base
Answers
To show that the angle bisector of an equilateral triangle is perpendicular to the base, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.
How to prove that the angle bisector is perpendicular to baseAfter getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.
We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.
Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.
Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.
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what are two factors of 24 that add to be 10? separate each factor by a comma
Answers
The ratio of Lauren's jellybeans to Haley's jellybeans is 3:8. Lauren has 50 fewer jellybeans than Haley. How many jellybeans does Lauren have ?
Answers
Answer:
Lauren has 30 jellybeans
Step-by-step explanation:
Let x - Lauren
Let y = Haley
\(\frac{x}{y}\) = \(\frac{3}{8}\) Cross multiply
8x + 3y
x = y - 50 Substitute y - 50 into the equation above for x
8(y -50) = 3y
8y -400 = 3y Subtract 8y from both sides
-400 = -5y Divide both sides by -5
80 = y This is Haley's jellybeans
x = y = 50
x = 80 - 50
x = 30 This is Lauren's jellybeans.
The expression above can also be written in the form
So what is A =
Answers
Answer:
what is the expressio
Step-by-step explanation:
a1=10an=an-1+4 ??????? help pls
Answers
I assume you're asked to solve for \(a_n\), or find an explicit formula for the n-th term in the sequence.
The sequence is recursively defined by
\(\begin{cases} a_1 = 10 \\ a_n = a_{n-1} + 4 & \text{for } n \ge 1 \end{cases}\)
By this definition,
\(a_{n-1} = a_{n-2} + 4\)
so that by substitution,
\(a_n = (a_{n-2} + 4) + 4 = a_{n-2} + 2\times4\)
and we can repeat this process to find
\(a_n = a_{n-3} + 3\times4\)
\(a_n = a_{n-4} + 4\times4\)
and so on, down to
\(a_n = a_1 + (n-1)\times4\)
Then given the first term \(a_1=10\), we have
\(a_n = 10 + 4(n-1) \implies \boxed{a_n = 4n + 6}\)
A garden table and a bench cost 670 combined. The garden table costs 80 less than the bench. What is the cost of the bench?
Answers
The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.
Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.
Simplifying this, we get 2x - 80 = $670 + 80 2x = $750 x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.
The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.
The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.
Therefore, the cost of the bench is $375, and the cost of the garden table is $295.
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Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
Answers
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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pls help ill give brainliest
Answers
Answer:
(- 12, 10 )
Step-by-step explanation:
2x + 4y = 16 → (1)
- 2x - 3y = - 6 → (2)
add (1) and (2) term by term to eliminate x
0 + y = 10
y = 10
substitute y = 10 into (1) and solve for x
2x + 4(10) = 16
2x + 40 = 16 ( subtract 40 from both sides )
2x = - 24 ( divide both sides by 2 )
x = - 12
solution is (- 12, 10 )
Answer:
(- 12, 10 )
Step-by-step explanation:
mark the person above me as brainliest
help me this is due tomorrow and i have to go to sleep
Answers
Answer: The possible length of the third side is probably 23cm.
All I did was add 9cm and 15cm which equaled 24cm and you could give that answer or any other number below 24.
Answer:
7 ≤ s ≤ 23; any number of centimeters between 7 and 23 cm.
Step-by-step explanation:
You want to know possible lengths of the third side of a triangle with side lengths 9 cm and 15 cm.
Triangle inequalityThe triangle inequality requires the sum of the two shorter side exceed the longest side. When two sides are given, this means the length of the third side lies between their difference and their sum.
The third side s must satisfy ...
15 -9 < s < 15 +9
6 < s < 24
The third side can have any whole number value between 7 cm and 23 cm, inclusive. For example, it might be 7 cm or it might be 20 cm.
<95141404393>
nick cut a circular cookie into 5 equal slices. what is the angle measure of each slice?
Answers
Using concepts of circles, it is found that the angle measure of each slice is of 72º.
--------------------------------------------
The cookies have circular formats.A complete circle, which is the format of a cookie, has an angular measure of 360º.If it is divided into a number n of equal slices, the angles will be 360 divided by n.--------------------------------------------
5 equal slices, thus:
\(\frac{360}{5} = 72\)
The angle measure of each slice is of 72º.
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A table is on sale for 32% off. The sale price is $459.
What is the regular price?
Answers
the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675\)
Solve for ∠B
. Round your answer to the nearest tenth.
∠B
= degrees
(50 points)
Answers
Answer:
m∠B = 36.9 °
Step-by-step explanation:
SOH - CAH - TOA
Sine → Opposite/Hypotenuse
sin(θ) = 3/5
\(\theta = sin^-^1(3/5)\\\)
θ = 36.86 degrees
Round to nearest tenth, so m∠B = 36.9 °
is 1.0227… a rational number
Answers
Answer:
yes
Step-by-step explanation:
The decimal 1.0227 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point.
Answer: Yes; it is a rational number.
__________________________________________
Step-by-step explanation:
__________________________________________
An irrational number, by definition, has "non-terminating, non-repeated decimal".
This number given has a "non-terminating decimal" that "is repeating"; so, instead of being an "irrational number", it is a "rational number."
__________________________________________
Hope this helps!
__________________________________________
(a) Write an equation in terms of x that represents the problem.
(b) Solve the problem.
The difference of a number and 16 is the same as the product of the number and 3. Find the number.
Answers
Answer:
-8
Step-by-step explanation:
x - 16 = 3x
Solve for x
-2x = 16
x = -8
Sarah paid $42.75 for 12 pounds of meat. What is the unit rate that she paid?
A: Sarah paid $0.28 for 1 pound of meat.
B: Sarah paid $9.29 for 2 pounds of meat.
C: Sarah paid $0.56 for 2 pounds of meat.
D: Sarah paid $3.56 for 1 pound of meat.
Answers
9514 1404 393
Answer:
D: Sarah paid $3.56 for 1 pound of meat.
Step-by-step explanation:
The cost per pound is found by dividing the cost by the number of pounds:
$42.75/(12 lb) = $3.5625/lb ≈ $3.56/lb . . . matches D
What is the average rate of change of sales between 2008 and 2010?
f(x)
495
513
410
402
520
580
631
719
624
582
X
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
HELP
Answers
Answer:
2008 and 2010 is 52 units per year.
Step-by-step explanation:
To find the average rate of change of sales between 2008 and 2010, we need to calculate the change in sales over that period, and divide by the time interval.
The sales in 2008 is f(2008) = 520, and the sales in 2010 is f(2010) = 624. The time interval is 2 years.
Therefore, the change in sales over that period is:
f(2010) - f(2008) = 624 - 520 = 104
The average rate of change of sales between 2008 and 2010 is:
(104) / (2) = 52
So the average rate of change of sales between 2008 and 2010 is 52 units per year.
1. What is the radius of the circle?
Worth max points
Answers
Answer:
\(7\)
Step-by-step explanation:
We see that the circle is centered at \((1, 0)\). We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.
We know that the circle intersects the x-axis at \((8, 0)\). Therefore the radius of the circle is the distance between these points, in this case \(8-1=7\).
So, the answer is \(\boxed{7}\) and we're done!
What are the mean and mode of the following data set? 59 16 57 46 58 21 36 41 23 64 20 66 40 51 28 46 a. mean: 43.5, mode: 46 b. mean: 42, mode: 46 c. mean: 43.5, mode: 42 d. mean: 46, mode: 42
Answers
Answer:
\( \boxed{ \bold{ { \boxed{ \sf{mean \: = \: 42 \: , \: mode = 46}}}}}\)
Option B is the correct option.
Step-by-step explanation:
Given data:
59 , 16 , 57 , 46 , 58 , 21 , 36 , 41 , 23 , 64 , 20 , 66 , 40 , 51 , 28 , 46
Σx ( sum of the items ) = 672
N ( total number of items ) = 16
Finding the mean
\( \boxed{ \sf{mean = \frac{sum \: of \: the \: items}{total \: number \: of \: items}}} \)
\( \longrightarrow{ \sf{ \frac{672}{16} }}\)
\( \longrightarrow{ \sf{42}}\)
Mean = 42
Finding the mode
In the given data , 46 has the highest frequency.
So, mode = 46
Hope I helped!
Best regards! :D
Answer:
b
Step-by-step explanation: