Solve using the quadratic formula
x^2 - 8x - 84 = 0
Show all work
Answers
Answer:
x²-8x-84
Using quadratic Formular -b±√b²-4ac/2a
--8±/8²-4×1×-84 /2×1
8±/64+336/2
8±/400/2
8±20/2
8+20/2, 8-20/2
28/2, -12/2
14,-6
Related Questions
The figure below shows the graph of f’ the derivative of the function f, on the closed interval from x = -2 to x = 6. The graph of the derivative has horizontal tangent lines at x = 2 and x = 4.
find the x-value where f attains it’s absolute maximum value on the closed interval x=-2 to x=6. justify your answer
Answers
Answer:
x = -2
Step-by-step explanation:
The function is decreasing where the first derivative is negative.
That is, the function is decreasing on the interval (-2, 5), except at x=2, where there is a flat spot. That means the maximum value is found at the left end of that interval, at x=-2.
__
The maximum value might be found at x = 6, at the right end of the interval (5, 6) on which the function is increasing. However, we judge the area under the first derivative curve between x=5 and x=6 to be less than the total area under the curve between x=-2 and x=5. That means the function does not increase enough from its minimum at x=5 to make up for the decrease over the longer interval.
__
The attachment shows an approximation of the derivative function given in the problem statement (dashed line) and its integral (solid line). Not all of the curvature of f'(x) is accounted for in the approximation, but the overall result is consistent with the above analysis.
dummy forgot his pin code. 20% of his pin code was 246.8 what was his pin code
Answers
Answer:
1234
Step-by-step explanation:
If 20% of his pin code was 246.8, we have to multiply 246.8 by 5 to get his pin code, which is 1234 (not safe btw.)
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Solve for x.
66
6
7
110
Answers
Answer:
x =6
Step-by-step explanation:
17x + 8 + 66 + 74 +110 = 360
17x + 258 =360
17x = 360 -258
17x =102
x =6
Apply angle sum property
17x+8+66+74+110=36017x+258=36017x=102x=6Identify the 17th term in the arithmetic sequence.
a1 = 11, d = −2
Answers
The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21
How to determine the 17th term?The given parameters are:
First term, a = 11Common difference, d = -2The nth term of an arithmetic progression is:
Tn = a + (n - 1)d
So, we have:
T17 = a + 16d
Substitute the given values
T17 = 11 - 16 * 2
Evaluate
T17 = -21
Hence, the 17th term in the arithmetic sequence is -21
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Write the tangent, cosine and sine ratios of angles X & Y. Write each answer as a (reduced) fraction. Not a decimal.
Answers
The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
What are the trigonometry ratios?For a right angle triangle, the trigonometry ratios can be given as,
[tex]\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}[/tex]
Here, a is base side, b is perpendicular side and c is the hypotenuse side of the triangle.
In the given triangle, the length of base side is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.
[tex]a=8\\b=6\\c=10[/tex]
Thus, the tangent, cosine and sine ratios of angles X & Y are,
[tex]\rm \sin \theta=\dfrac{6}{10}=\dfrac{3}{5}\\\rm \cos \theta=\dfrac{8}{10}=\dfrac{4}{5}\\\rm \tan \theta=\dfrac{6}{8}=\dfrac{3}{4}[/tex]
Thus, the tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
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round 2.577681 to 4 decimal places
Answers
Answer:
2.5777
Step-by-step explanation:
Answer: 2.5777
Step-by-step explanation:
Given:
2.577681
Find the fourth decimal place:
2.577681
Round:
2.5777
Rounding:
Is the place to the right greater than or less than 5?
If greater than or equal to, round up. If less than, it stays the same.
In this case, 8 > 5
Gretta is 2 1/2 kilometers tall. Which of the followings is equivalent to 2 1/2 kilometers in meters
Answers
Answer:
Gretta would be 2500 meters tall
Step-by-step explanation:
2km=2000 and the 1/2 would be 1/2=500 so the answer it 2500
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Interest = $821.25, time = 1 year, rate = 12.42%. Find the principal
Answers
Step-by-step explanation:
P = l.100/t.r = $821.25×100/12.42×1 = $6612.318
hope this helps you.
What is the distance between the y-intercept of the function f(x)=2(3)^x and the y-intercept of the function g(x) represented by the table below?
Answers
Answer:
A. 1
Step-by-step explanation:
y-intercept of f(x)
f(x) = 2(3)°f(x) = 2(0, 2)y-intercept of g(x)
g(x) = (0, 3)Distance
⇒ 3 - 2
⇒ A. 1
Which expression is the result of solving the equation ar – b = cy for ? (For a 70).
cy
cy + b
+ b
Don
Answers
Answer:
4th option, (cy+b)/a
Step-by-step explanation:
By algebraic manipulation, we add b to both sides, then divide by a to isolate x.
Segment AB has coordinates A(-4, 7) and B(5, 1). Find AP/AB and the coordinates of P that partitions AB such that AP:PB = 1:2. AP/AB= [Select] Coordinates of P: ( [Select] [Select] Hint: (x₁+ m/n (x2-x1). Y₁+ m/n (y2-V₁))
Answers
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-4,7)\qquad B(5,1)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-4,7)=1(5,1)[/tex]
[tex](\stackrel{x}{-8}~~,~~ \stackrel{y}{14})=(\stackrel{x}{5}~~,~~ \stackrel{y}{1})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-8 +5}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{14 +1}}{1+2} \right)} \\\\\\ P=\left(\cfrac{-3}{3}~~,~~\cfrac{15}{3} \right)\implies P=(-1~~,~~5)[/tex]
now, the segment AB cut by P in a 1:2 ratio, makes 3 thirds, so the ratio AP/AB is
[tex]\cfrac{AP}{AB}\implies \cfrac{1}{1+2}\implies \cfrac{1}{3}[/tex]
Solve for r.
r= __ ?
Answers
r= \frac{q^{2} }{p^{3}} +1
Let X1, Xn be i.i.d. random variables with probability density function,
fx (x) = { 1/0 0 0 < x < 0 otherwise.
(a) Let X₁, X denote a bootstrap sample and let X = n
Find: E(XX1, , Xn), V(XX1, , Xn), E(X), V(X₂).
Hint: Law of total expectation: E(X)= E(E(XY)).
Law of total variance: V(X) = E(V(XY))+ (E(X|Y)).
Sample variance, i.e. s² = (X; - X)2 is an unbiased estimator of population variance.
Answers
The expected value of the assumed probability density function is 3/4 and the variance is 3/80
How to solve for E(x) and V(x)?The probability density function is not properly stated.
So, I will provide a general explanation on how to determine E(x) and V(x) of a probability density function
Assume that the probability density function is given as:
[tex]f(x)= \left[\begin{array}{ccc}3x^2 &0 \le x \le 1\\0&Otherwise\end{array}\right[/tex]
The expression E(x) is calculated using:
[tex]E(x) = \int\limits^a_b {x \cdot f(x)} \, dx[/tex]
So, we have:
[tex]E(x) = \int\limits^1_0 {x \cdot 3x^2 \ d(x)[/tex]
Evaluate the product
[tex]E(x) = \int\limits^1_0 { 3x^3 \ d(x)[/tex]
Integrate
[tex]E(x) = \frac34x^4 |\limits^1_0[/tex]
Expand
[tex]E(x) = \frac34(1-0)^4[/tex]
Evaluate
[tex]E(x) = \frac34[/tex]
The variance is then calculated using:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
Calculate [tex]E(x^2)[/tex] using:
[tex]E(x^2) = \int\limits^a_b {x^2 \cdot f(x)} \, dx[/tex]
This gives
[tex]E(x^2) = \int\limits^1_0 {x^2 \cdot 3x^2} \, dx[/tex]
Expand
[tex]E(x^2) = \int\limits^1_0 {3x^4} \, dx[/tex]
Integrate
[tex]E(x^2) = \frac{3}{5}x^5|\limits^1_0[/tex]
Expand
[tex]E(x^2) = \frac{3}{5}(1 - 0)^5[/tex]
Evaluate
[tex]E(x^2) = \frac{3}{5}[/tex]
Substitute [tex]E(x^2) = \frac{3}{5}[/tex] and [tex]E(x) = \frac34[/tex] in [tex]Var(x) = E(x^2) - (E(x))^2[/tex]
[tex]Var(x) = \frac 35 - (\frac{3}{4})^2[/tex]
Evaluate the exponent
[tex]Var(x) = \frac 35 - \frac{9}{16}[/tex]
Evaluate the difference
[tex]Var(x) = \frac{3}{80}[/tex]
Hence, the variance of the probability density function is 3/80
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rotate the figure 90 degrees clockwise then translate 4 units left
Answers
Answer:
If I am not mistaken, the new figure will be here (view attachment, bright blue figure is the new transformation)
Answer:
For each of the following equations determine the output values Corresponding to the input value
(-2;-1;0;1;2;3)
ade and ola share a sum of 400 naira in the ratio 3:5. find the amount ade received.
Answers
Answer:
150 Naira
Step-by-step explanation:
3 + 5 = 8
Since Ade receives in a 3 to 5 ratio, Ade receives 3/8 of the total.
3/8 × 400 = 150
Answer: 150 Naira
How many liters of 70% alcohol solution and 30% alcohol solution must be mixed to obtain 8 liters of 60% alcohol solution?
a. Complete the table below with the expressions needed to solve this problem. Then solve it in part b.
70% solution 30% solution Final solution
Number of Liters x y
Liters of Alcohol
b. You need
liters of 70% solution and
liters of 30% solution.
Answers
Which shows a true comparison? Select all that apply. A. 32. 03 > 32. 3 32.03>32.3 B. 3. 114 > 3. 112 3.114>3.112 C. 4. 003 < 3. 996 4.003<3.996 D. 0. 541 > 0. 145 0.541>0.145 E. 0. 141 < 0. 19
Answers
Answer:
B. 3.114 > 3.112
D. 0.541 > 0.145
E. 0.141 < 0.19
Step-by-step explanation:
In order to determine which decimal is greater or less than another, compare the place values from left to right. First, compare the whole numbers to the left of the decimal point. If they are not the same, the smaller decimal number is the one with the smaller whole number. This applies to the rest of the places.
----------------------------------------------------
32.3 has a greater tenths value than 32.03, so 32.03 < 32.3. Option A is false.
----------------------------------------------------
3.114 has a greater thousandths value than 3.112, so 3.114 > 3.112. Option B is true.
----------------------------------------------------
4.003 has a greater whole number than 3.996, so 4.003 > 3.996. Option C is false.
----------------------------------------------------
0.541 has a greater tenths value than 0.145, so 0.541 > 0.145. Option D is true.
----------------------------------------------------
0.19 has a greater hundredths value than 0.141, so 0.141 < 0.19. Option E is true.
hope this helps!
The inequalities which are truly compared are B, D and E.
Given certain inequalities.
We have to find the true comparisons.
We have to look at the corresponding digits of numbers which are compared from left to right. Greater numbers on the left will be the greater number.
A. 32. 03 > 32. 3
This is false since 32.3 is greater. In 32.03, 0 is in the tenth place, while 3 is in the tenth place for 32.3.
B. 3. 114 > 3. 112
This is true since in the thousandths place, 4 is greater than 2.
C. 4. 003 < 3. 996
This is clearly false, since in the whole part, 4 is greater than 3.
D. 0. 541 > 0. 145
This is true, since in the tenths place, 5 is greater than 1.
E. 0. 141 < 0. 19
This is also true, since in the hundredths place, 9 is greater than 4.
Hence the true comparisons are B, D and E.
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Find the volume of the solid.
Answers
V= L * W * H
Split shape into two figures
Patrick and Brooklyn are making decisions about their bank accounts. Patrick wants to deposit $300 as a principal amount, with an interest of 3% compounded quarterly. Brooklyn wants to deposit $300 as the principal amount, with an interest of 5% compounded monthly. Explain which method results in more money after 2 years. Show all work.
Answers
Answer:
Brooklyn's method results in more money after 2 years
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedPatrick's Method
Given:
P = $300r = 3% = 0.03n = 4t = 2Substituting the given values into the formula and solving for A:
[tex]\implies \sf A=300\left(1+\dfrac{0.03}{4}\right)^{4 \times 2}[/tex]
[tex]\implies \sf A=300\left(1.0075\right)^{8}[/tex]
[tex]\implies \sf A=318.4796543...[/tex]
Therefore, using Patrick's method, there would be $318.48 in the account after 2 years.
Brooklyn's Method
Given:
P = $300r = 5% = 0.05n = 12t = 2Substituting the given values into the formula and solving for A:
[tex]\implies \sf A=300\left(1+\dfrac{0.05}{12}\right)^{12 \times 2}[/tex]
[tex]\implies \sf A=331.4824007...[/tex]
Therefore, using Brooklyn's method, there would be $331.48 in the account after 2 years.
As $331.48 > $318.48 then Brooklyn's method results in more money after 2 years.
In the following diagram, what is the value of x?
x=[x]
Answers
Answer:
x=90°
Step-by-step explanation:
Too much work............. ....
Dont answer unless your sure will mark brainliest
Answers
Answer:
199.5
Step-by-step explanation:
Alex buys 30 shares of Walmart at the close price if $48.80. His broker charges him 3% of each share. How much did Alex spend in total to buy this stock?
Answers
Alex spend $1507.92 in total to buy this stock at 3% charges on each shares.
What is shares?
Shares represent equity ownership in a corporation or financial asset, owned by investors who exchange capital in return for these units.
Alex buys 30 shares of Walmart at the close price of $48.80.
His broker charges him 3% of each share.
Purchasing of 30 shares =48.80 *30
=$1464
Now we have to find the 3% of total purchasing of shares.
So,
Broker's fees =[tex]\frac{3}{100}*1464[/tex]
= 0.03 * 1464
= 43.92
So, total cost of stock= 1464+43.92
= 1507.92
Hence, Alex spend $1507.92 in total to buy this stock.
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The image shows a circle centered at point O angle AOB Measures at 42 degrees.
What is the Measure of the angle acb explain your reasoning
Answers
The measure of angle ACB for circle centered at point O is 21°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
∠AOB = 2 * ∠ACB (angle at center is twice the angle at circumference)
42 = 2 * ∠ACB
∠ACB = 21°
The measure of angle ACB for circle centered at point O is 21°
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The volume of a sphere is
[tex]125\pi[/tex] cm3. What is the radius?
Last question.
Answers
Hi!!
Answer:
I'm not 100% sure, but I think it's 3.1.
Step-by-step explanation:
I took your volume, which is 125[tex]\pi[/tex], then a formula, which is
V=[tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex], then I just plugged in the 125 and I got 3.1. I'm so sorry if it's wrong! <3
HELP PLS A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes
Answers
Answer:
(0, 0).
Step-by-step explanation:
The 2 points with y = 8 is a horizontal side with (5, 8) 5 units to the right and the point (5, 0) lies vertically down from (5, 8) so the fourth point is 5 to the left of (5, 0) which is (0, 0)
John is making apple pies and apple cobblers to sell at the farmer’s market. A pie uses 4 cups of apples and 3 cups of flour. A cobbler uses 2 cups of apples and 3 cups of flour. When John sells the pies and cobblers at the farmer’s market, he will make $3.00 profit per pie and $2.00 profit per cobbler. Let x = the number of pies John makes. Let y = the number of cobblers John makes. Interpret the meaning of the vertex with the maximum profit in context of john’s baking.
Answers
Step-by-step explanation:
there are some pieces of information missing like the price of apples and flour. or the selling prices. or any restrictions like a fixed budget to buy ingredients or how many pies and cobblers he can make in a certain available time.
all we can say based on the given information :
one pie = 4a + 3f (a = apples, f = flour)
one cobbler = 2a + 3f
P(x, y) = 3x + 2y =
= x(selling price - 4a - 3f) + y(selling price - 2a - 3f)
the max. of P(x, y) is the maximum profit by selling pies and cobblers, which is without any further information +infinity.
the more pies and cobblers he sells, the bigger the profit - no limit.
You are a salesman for company Z. Total sales for company Z last year were
R900 000,00. You were responsible for obtaining R300 000,00 worth of these
sales. As a fraction, what was your share of the total sales?
Answers
Answer:
1/3 or 33.33%
Step-by-step explanation:
30000000/90000000
-4+2(3m+7)
Explain please
Answers
Answer:
6m + 10
Step-by-step explanation:
Distributive Property
a(b + c) = ab + acSolving
-4 + 2(3m + 7)-4 + 2(3m) + 2(7)-4 + 6m + 146m + 10Some of the most important nutrients in the ocean include:
A. Nitrates, carbonic acid, and oxygen.
B. Carbon dioxide, oil, and gold.
C. Phosphate, phytoplankton, and potassium.
D. Phosphates, nitrates, and carbon.
Answers
Answer:
D one is the answer
Step-by-step explanation:
HELP ASAP!!!
The black graph is the graph of y = f(x).
Choose the equation for the red graph.
Answers
Answer:
B
Step-by-step explanation:
We shift the black graph about the x axis, to do that we divide y by -1,
We then shift over to the left 5 units, to do that's we add 5 to the x value.
So the answer here is B