If 3x^2+2x-8=(3x-4)(x+2), which equations should be solved to find the roots of 3x^2+2x-8=0
Answers
9514 1404 393
Answer:
C, E
Step-by-step explanation:
The solutions are found by setting each of the factors to zero:
3x -4 = 0 . . . . . matches C
x +2 = 0 . . . . . matches E
Related Questions
A triangle has vertices at L(2, 2), M(4,4), and N(1,6).
The triangle is transformed according to the rule Ro.
Which statements are true regarding the
transformation? Select three options.
180
The rule for the transformation is (x, y) (-X, -y).
The coordinates of L'are (-2,-2).
The coordinates of Mare (-4,4).
The coordinates of N' are (6,-1).
The coordinates of N'are (-1,-6).
Answers
Answer:
The rule for the transformation is (x, y) (-x, -y).
The coordinates of L'are (-2,-2).
The coordinates of N'are (-1,-6).
Step-by-step explanation:
Given
[tex]L = (2,2)[/tex]
[tex]M = (4,4)[/tex]
[tex]N = (1,6)[/tex]
[tex]Ro=180[/tex]
Required
Select three options
The rule to this is:
[tex](x,y) \to (-x,-y)[/tex]
So, we have:
[tex]L = (2,2)[/tex]
[tex]L' =(-2,-2)[/tex]
[tex]M = (4,4)[/tex]
[tex]M =(-4,-4)[/tex]
[tex]N = (1,6)[/tex]
[tex]N' = (-1,-6)[/tex]
For all positive integers n, let *n* equal the greatest prime number that is a divisor of n. What does *10*/*12* equal?
Answers
9514 1404 393
Answer:
5/3
Step-by-step explanation:
The prime factorizations are ...
10 = 2·5
12 = 2·2·3
Then *10* = 5 and *12* = 3, so *10*/*12* = 5/3.
For each one of the following statements, indicate whether it is true or false.
(a) If X = Y (i.e., the two random variables always take the same values), then Van X | Y = 0.
(b) If X = Y (the two random variables always take the same values), then Var (X | Y) = Var (X).
(c) If Y takes on the value y, then the random variable Var (X | Y) takes the value E[(X – E[X | Y = y])2 |Y = y].
(d) If Y takes on the value y, then the random variable Var (X | Y) takes the value E[(X - E[X | Y])2 | Y = y].
(e) If Y takes on the value y, then the random variable Var ( X | Y) takes the value E[(X – E[X])2 | Y = y].
Answers
Solution :
a). [tex]$\text{Var} (X|Y) =E ((X-E(X|Y))^2 |Y)$[/tex]
Now, if X = Y, then :
[tex]P(X|Y)=\left\{\begin{matrix} 1,& \text{if } x=y \\ 0, & \text{otherwise }\end{matrix}\right.[/tex]
Then, E[X|Y] = x = y
So, [tex]$\text{Var} (X|Y) =E((X-X)^2 |Y)$[/tex]
[tex]$=E(0|Y)$[/tex]
= 0
Therefore, this statement is TRUE.
b). If X = Y , then Var (X) = Var (Y)
And as Var (X|Y) = 0, so Var (X|Y) ≠ Var (X), except when all the elements of Y are same.
So this statement is FALSE.
c). As defined earlier,
[tex]$\text{Var} (X|Y) =E ((X-E(X|Y))^2 |Y=y)$[/tex]
So, this statement is also TRUE.
d). The statement is TRUE because [tex]$\text{Var} (X|Y) =E ((X-E(X|Y))^2 |Y=y)$[/tex].
e). FALSE
Because, [tex]$\text{Var} (X|Y) =E ((X-E(X|Y=y))^2 |Y=y)$[/tex]
The largest angle in a triangle is six times the smallest angle. The middle angle is three times the smallest angle. Given that the sum of the angles in a triangle is , find the measure of each angle.
Answers
Answer:
Smallest: 18° Middle: 54° Largest: 108°
Step-by-step explanation:
We can start by writing out what we know in a series of equations:
s= smallest angle, m= medium angle, L= largest angle.
Since the largest is 6 times the smallest we have:
L=6s
Since the middle is 3 times the smallest we have:
m=3s
Since the 3 interior angle measures of a triangle always must equal 180°, we have:
s+m+L=180
Then we plug in our L and m into the third equation:
s+3s+6s=180
Combining like terms and solving:
10s=180
s=18
Then we plug in 18 for s into the first 2 equations to get:
L= 6* 18
L= 108
and
m= 3* 18
m= 54
So s= 18, m= 54, and L=108.
To check the answer we can:
Add the three to make sure they equal 180. Make sure the smallest is the smallest, and the largest is the largest.Find the value of x.
Answers
Answer:
the value of x is 29°
hope it helps
have a nice day
This one is tricky! Imagine that you meet a new friend who is also a beginner, and she can run the 5k in 23.5 minutes. You wonder what percentage of the beginner running population could run the 5k faster than your new friend (that is, what percentage of the population has a time that is less than your new friend
Answers
Answer:
38.74%
Step-by-step explanation:
Given the data:
21 21 22 22 23 23 23 24 24 24 24 24 25 25 25 26 26 27 27
We obtain the beginner running population and standard deviation
Population mean, μ = Σx/n = 456/19 = 24
Standard deviation, σ = 1.747 (using calculator)
Friend's Runtime, x = 23.5 minutes
Obtaining the friend's Zscore :
Z = (x - μ) / σ
Z = (23.5 - 24) / 1.747
Z = - 0.286
Obtaining the Pvalue :
Using a standard normal distribution table :
P(Z < - 0.286) = 0.38744
Hence. Percentage of population that has lesser time :
0.38744 * 100% = 38.74%
Find all solutions of the equation in the interval [0, 2pi); sqrt(3) * csc(theta) - 2 = 0
Answers
Answer:
Step-by-step explanation:
Solution of the equation [tex]\sqrt{3} (cosec\theta) -2=0[/tex]in the [ 0, 2π) is [tex]\frac{\pi }{3}[/tex] and [tex]\frac{2\pi }{3}[/tex].
What is trigonometric ratio?" Trigonometric ratios are defined as relation of the ratio of the sides of the triangle to the acute angle of the given triangle enclosed in it."
Formula used
[tex]cosec\theta = \frac{1}{sin\theta}[/tex]
According to the question,
Given trigonometric ratio equation,
[tex]\sqrt{3} (cosec\theta) -2=0[/tex]
Replace trigonometric ratio [tex]cosec\theta[/tex] by [tex]sin\theta[/tex] in the above equation we get,
[tex]\sqrt{3} (\frac{1}{sin\theta} ) -2=0\\\\\implies \sqrt{3} (\frac{1}{sin\theta} ) = 2\\\\\implies sin\theta=\frac{\sqrt{3} }{2}[/tex]
As per given condition of the interval [ 0, 2π) we have,
[tex]\theta = sin^{-1} \frac{\sqrt{3} }{2} \\\\\ implies \theta = \frac{\pi }{3} or \frac{2\pi }{3}[/tex]
Hence, solution of the equation [tex]\sqrt{3} (cosec\theta) -2=0[/tex]in the [ 0, 2π) is
[tex]\frac{\pi }{3}[/tex] and [tex]\frac{2\pi }{3}[/tex].
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Complete the sentences below:
The value of________ is negative because 240 is in quadrant III. The reference angle is___________. and the exact value of 240 degrees is_________.
Answers
Answer Deleted
404 Not Found
evaluate the expression when b= -6 and c=3
-4c+b
Answers
Answer:
-18
Step-by-step explanation:
b = -6
c = 3
-4c + b = ?
Plug in the value of each variable into the equation
-4c + b = ?
= -4(3) + (-6)
= -12 - 6
= -18
1). A population of 20 rabbits is released into a wildlife region. The population is growing at a rate of 60% per year.
A) the General Equation from the Video was: P(x) = (blank)
What is the population of rabbits after 5 years?
B) the Evaluated equation I used to get the following answer is (blank)
and After five years there will be(blank)
rabbits.
And What is the population of rabbits after 8 years?
c) the Evaluated equation I used to get the following answer is(blank)
and After eight years there will be(blank)
rabbits.
Answers
Answer:
(a) A = 20(1.6)^t
(b) 210 rabbits
Step-by-step explanation:
Initial number of rabbits = 20
rate of growth, R = 60 % annually
(A) The general equation is
[tex]A = P \left ( 1+\frac{R}{100} \right )^t\\\\A = 20\left ( 1+\frac{60}{100} \right )^t\\\\A = 20 (1.6)^t[/tex]
(B) Let the time, t = 5 years
So, the population after 5 years is
[tex]A = 20 (1.6)^5\\\\A = 209.7 = 210 rabbits[/tex]
24. What are the intercepts of -3x + 5y - 2z = 60?
(-20, 0, 0), (0, 12,0), (0, 0, -30)
(-60, 0, 0), (0, 60, 0), (0, 0, -60)
(-180, 0, 0), (0, 300, 0), (0, 0, -120)
(-3, 0, 0), (0,5, 0), (0, 0, -2)
Answers
tan sin^-1(-1/2)+tan^-1(3/4)
exact value!
Answers
Answer:
m
Step-by-step explanation:
vfmjj vdzaazb knkuvggb
Of the at-home games, what proportion of games were wins? (Note: Some answers are rounded to two decimal places
Answers
Answer:
0.33
Step-by-step explanation:
See comment for complete question
Given
[tex]H = 60\%[/tex]
[tex]W=25\%[/tex]
[tex]HW = 20\%[/tex] --- at-home wins
Required
The proportion of at-home games that were wins
This proportion is represented as:
[tex]Pr = HW : H[/tex]
Substitute values for HW and H
[tex]Pr = 20\% : 60\%[/tex]
Divide by 20%
[tex]Pr = 1 : 3[/tex]
Express as fraction
[tex]Pr = 1 /3[/tex]
[tex]Pr = 0.33[/tex]
Will give brainliest if correct
Which congruence theorem can be used to prove △BDA ≅ △BDC?
Triangles B D A and B D C share side B D. Sides B C and B A are congruent. Sides A D and D C are congruent.
HL
SSA
AAS
SSS
Answers
Answer:
SSS or D on edge
Step-by-step explanation:
.
The three sides of triangle ΔBDA are equal to the three sides of triangle ΔBDC.
The congruency theorem that can be used to prove ΔBDA ≅ ΔBDC is; SSSReasons:
The given parameters are;
The common side to ΔBDA and ΔBD = BD
BC ≅ BA
AD ≅ DC
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reasons
BC ≅ BA [tex]{}[/tex] Given
AD ≅ DC [tex]{}[/tex] Given
BD ≅ BD [tex]{}[/tex] By reflexive property
Therefore, we have;
ΔBDA ≅ ΔBDC [tex]{}[/tex] By Side-Side-Side SSS, congruency ruleThe congruency theorem that can be used to prove ΔBDA ≅ ΔBDC is therefore;
SSSThe Side-Side-Side congruency rule states that if three sides of on triangle are congruent to three sides of another triangle, then the two triangles are congruent.
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A license plate consists of a letter, followed by three numbers, followed by another
letter. Due to possible confusion, the letters I and O are not used. Repetition is not
allowed.
How many different license plates are possible?
Answers
This is one single number that's slightly smaller than 400 thousand.
======================================================
Explanation:
There are 26 letters in the english alphabet. We don't use letters i or o, so we have 26-2 = 24 choices for that first slot.
Then we have 10 choices for the second slot because there are 10 single digits 0 (zero) through 9.
After making the selection for the second slot, we have 10-1 = 9 choices left for the third slot. The fourth slot has 10-2 = 8 digits to pick from. The subtraction occurs because we cannot reuse the digits.
Finally, the last slot will be a letter. We have 24-1 = 23 letters left to pick from.
Overall, we have 24*10*9*8*23 = 397,440 different license plates possible.
--------------------
Extra info (optional section)
You may be wondering "why do we multiply those values?". Well consider a simple example of having only 2 slots instead of 5.
Let's say the first slot is a letter A to Z, excluding letters i and o. The second slot will be the digit from 0 through 9.
If you make a table with 24 rows and 10 columns, then you'll have 24*10 = 240 cells overall. Notice the multiplication here. The 24 rows represent each letter, and the 10 columns are the digit numeric digits.
Each inner cell is a different two character license plate. For example A5 is one such plate. This idea can be extended to have 5 characters.
"If a = − 9 and b = − 6, show that (a−b) ≠ (b−a)."
Answers
Answer:
Step-by-step explanation:
LHS a - b = -9 - (-6) = -9 +6 = -3
RHS b-a = -6 - (- 9) = -6 +9 = 3
as LHS not equal to RHS
a-b not equal to b-a
Thus proven
Multiply and show work
Answers
Answer:
-15m^10 -38m8+57m^6+98m^4-30m^2
Answer:
jere is your answer i hope it will help u
How do I solve this?
Answers
Answer: 3
Step-by-step explanation: m=2 so 7.5x2 = 15
15/5 is 15 divided by 5 so the answer is 3
Step 1: Rewrite equation
To start off, I find it helpful to rewrite the equation. This will give a better understanding of the problem we are working with.
7.5m/5
Step 2: Substitute information
Now that we know our equation, we can substitute the information we are given. In this case, we are made aware that m is equal to 2. Let’s change 7.5m to 7.5(2).
7.5m/5
7.5(2)/5
Step 3: Solve
To solve our problem, we must first start with the top part of the equation, which tells us to multiply 7.5 by 2. Then, we must divide that by the number on the bottom part of the equation, which is 5. Let’s do this now.
7.5(2)/5
15/5
3
This is your answer. The equation equals 3. Hope this helps! Comment below for more questions.
Which of the following is equivalent to the expression log2a=r? 2a = r logr2 = a 2r = a log2r = a
Answers
9514 1404 393
Answer:
(c) 2^r = a
Step-by-step explanation:
The relationship between log forms and exponential forms is ...
[tex]\log_2(a)=r\ \Leftrightarrow\ 2^r=a[/tex]
__
Additional comment
I find this easier to remember if I think of a logarithm as being an exponent.
Here, the log is r, so that is the exponent of the base, 2.
This equivalence can also help you remember that the rules of logarithms are very similar to the rules of exponents.
Answer: Choice C) [tex]2^r = a[/tex]
This is the same as writing 2^r = a
==========================================================
Explanation:
Assuming that '2' is the base of the log, then we'd go from [tex]\log_2(a) = r[/tex] to [tex]2^r = a[/tex]
In either equation, the 2 is a base of some kind. It's the base of the log and it's the base of the exponent.
The purpose of logs is to invert exponential operations and help isolate the exponent. A useful phrase to help remember this may be: "if the exponent is in the trees, then we need to log it down".
The general rule is that [tex]\log_b(y) = x[/tex] converts to [tex]y = b^x[/tex] and vice versa.
Select the two values of x that are roots of this equation 2x^2+5x-3=0
Answers
Answer:
A and D are the answer.
Step-by-step explanation:
We can factor this by grouping
[tex]2 {x}^{2} + 5x - 3[/tex]
[tex]2 {x}^{2} + 6x - x - 3[/tex]
[tex]2x(x + 3) -1 (x + 3)[/tex]
The roots are
[tex](x + 3) = 0[/tex]
and
[tex]2x - 1 = 0[/tex]
Let solve for zero in each roots.
[tex]x = - 3[/tex]
[tex]2x = 1[/tex]
[tex]x = \frac{1}{2} [/tex]
Answer the following.
(a) Find an angle between and that is coterminal with .
(b) Find an angle between and that is coterminal with . Give exact values for your answers.
Answers
I believe this is your question:
A.) find an angle between 0 degrees and 360 degrees that is coterminal with 570 degrees.
Answer:
210 degrees
Explanation:
Coterminal angles begin on the same initial side and end or terminate on the same side as an angle. Example 45 degrees and 405 degrees are coterminal angles because they both begin and end on the same side.
To find an angle between 0 and 360 that is coterminal with 570 degrees, w simply subtract 360 degrees from 570, hence:
570-360=210 degrees
570 degrees is coterminal with 210 degrees
How many boxes could you stack safely on a pallet if the pallet is 5 feet deep, five feet across, every box is 1 x 1 and the maximum safe stacking height is 5 boxes? *
Answers
Answer:
25 boxes could be stacked safely on the pallet.
Step-by-step explanation:
To determine how many boxes could you stack safely on a pallet if the pallet is 5 feet deep, five feet across, every box is 1 x 1 and the maximum safe stacking height is 5 boxes, the following calculation should be performed:
Pallet = 5 x 5 = 25 square feet
Box = 1 x 1 = 1 square foot
25/1 = 25
Therefore, 25 boxes could be stacked safely on the pallet.
Can someone help and explain this to me ,much appreciated thankyouuu
Answers
Answer:
A. 2x + 1
Step-by-step explanation:
f(x) = 2x + 7
g(x) = x - 3
To find f(g(x)), substitute x = x - 3 into f(x) = 2x + 7
Thus:
f(g(x)) = 2(x - 3) + 7
f(g(x)) = 2x - 6 + 7
Add like terms
f(g(x)) = 2x + 1
Please help how to do this
Answers
Answer:
Frumpyton
Step-by-step explanation:
Since the standard deviation of Frumpyton is a lower number, this means a higher percentage of outcomes (job salaries) will be within a closer range to the mean salary. Since Frumpyton's standard deviation is $2,000 and the window your looking for is $32,000 to $36,000, if you go one interval up or down from the mean of $34,000, it falls in that range. Whereas, Dirtballville's standard deviation is $3,000 so it's more likely to fall outside of that range.
Rahim is constructing a proof to show that the opposite angles of a
quadrilateral inscribed in a circle are supplementary. Which step would be the
first in his proof?
Given: Quadrilateral QRST is inscribed in circle X.
Prove: R is supplementary to T
Answers
9514 1404 393
Answer:
Given: Quadrilateral QRST ...
Step-by-step explanation:
The first statement of a proof is always a restatement of the facts that are Given. The "prove" statement is a goal, never stated in the proof. The statement to be proven is the last statement (conclusion) of a proof.
A box is 2,5 dm long and 5 dm high its volume is 62.5 dm3 how wide it is?
Answers
Answer:
7.5 dm
Step-by-step explanation:
Plus mo baka tama ako
Heeeelp me pleaseeee
Answers
Answer:
sorry but the pic is too blurr
Step-by-step explanation:
if u could fix the blurr so I can answer properly
Sorry to ask so many questions but I need help in MATH
PLZZZ HELPPP
Answers
Answer:
24 26 27 94 is the answer 45
Answer:
the correct answer is 45
An airplane flies 105 miles in ½ hour. How far can it fly in 1 ¼ hours at the same rate of speed?
Answers
Answer:
262.5 miles
Step-by-step explanation:
Correct me if I am wrong
What iis 155 plus 33 minus 4 divided by 2
Answers
Answer:
155+33-4÷2155+33-2188-2186hope it is helpful to you
The simplified form of statement 155 plus 33 minus 4 divided by 2 is
186.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
The given statement is 155 plus 33 minus 4 divided by 2 which can be numerically expressed as,
155 + 33 - 4 ÷ 2.
PEMDAS rule states the correct order of simplifying an expression is as follows, Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
155 + 33 - 2.
= 188 - 2.
= 186.
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