Answer:
x = -0.62 and x = 4.29
These values are approximations !
Step-by-step explanation:
You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?
Anyway, to solve it, you can still use the ABC formula.
3x²-11x-6=0
a = 3
b =-11
c = -6
x = [11 + √{121 -4(3 *-6)} ]/ 2*3
x = [11 + √{121 -4(-24)} ]/ 6
x = [11 + √{121 + 96} ]/ 6
x = [11 + √{217} ]/ 6
x = 4.29 This is an approximation !
x = [11 - √{121 -4(3 *-6)} ]/ 2*3
x = [11 - √{121 -4(-24)} ]/ 6
x = [11 - √{121 + 96} ]/ 6
x = [11 - √{217} ]/ 6
x = -0.62 This is an approximation !
extra: see the graph.
Evaluate x^0+ y^0 for x = 3 and y = 2.
0
1 5 2
Answer:
2
Step-by-step explanation:
x^0+ y^0
Let x = 3 and y = 2
3^0 + 2^0
Raised to the 0 power is 1
1 + 1
2
Answer:
the answer is 1, this is correct
Step-by-step explanation:
Would someone help me with this?
Answer:
A,E
Step-by-step explanation:
A The minimum number of pages read was 24. The smallest number is the dot on the left side which is at 24
E The mean is the middle line in the box, this is at 48
Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)^2=11
Answer:
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Step-by-step explanation:
Square root both sides:
[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)
[tex]4x=\sqrt{11}-1[/tex]
or
[tex]4x=-\sqrt{11} -1[/tex]
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
Square root both sides:
4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)
. Joanne does a daily walk from building P to building Q. Given point P(6,9) and point Q(5,-4), what is the distance between points P and Q on this campus map of the local college?
Answer:
The distance between points P and Q on this campus map of the local college is 13.038 units
Step-by-step explanation:
We are given that Joanne does a daily walk from building P to building Q
[tex]P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)[/tex]
We are supposed to find the distance between points P and Q on this campus map of the local college
We will use distance formula :
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the values in the formula .
[tex]d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038[/tex]
Hence the distance between points P and Q on this campus map of the local college is 13.038 units
Answer:
13 feet
Step-by-step explanation:
We use the distance formula:
Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
Please answer correctly !!!!!!! Will mark brianliest answer !!!!!!!!!!!!!
Answer:
I belive that the correct answer is 32. hope this helps mark me as brianliest????
Step-by-step explanation:
Answer:
missing constant is 36
Step-by-step explanation:
x²-12x+36
because 12x= 2*√x²*√36
so 36 is missing constant
and there is easier way (12/2)² = 36
A counterexample for sinytany=cosy is 0 degrees
true or false?
Answer:
False
sin (y) / cos (y) = cos (y)
cos (y) could be any value from -1 to 1.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Which expression represents the number 3+−4−−−√ rewritten in a+bi form?
3+4i
0+5i
3i+2
3+2i
−4i+3
Question:
Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?
Answer:
3 + 2i
Step-by-step explanation:
Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)
[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)
The complex number representation of [tex]\sqrt{-1} = i[/tex] and [tex]\sqrt{4} = 2[/tex]
Make these substitutions into equation ( 2)
[tex]y = 3 +2i\\[/tex] is in the form a + bi
Where a = 3 and b = 2
Solve 0.48 ÷ 0.04 Help me please
Answer:
12
Step-by-step explanation:
[tex]0.48\div 0.04[/tex]
If you multiply both terms by 100, the result will be the same, because 100/100=1. You can therefore rewrite this as 48/4, which is equal to 12. Hope this helps!
Answer:
12
Step-by-step explanation:
0.48x100=48
0.04x100=4
48/4=12
Suppose that a particular experiment will have outcome “A” with probability 13 and outcome “B” with probability of 23. If you were to perform this experiment 90 times, approximately how many times would you expect outcome “B” to occur
What is the sum of the measures of the interior angles of a 12-gon?
1620°
O 1800°
O 1980°
O 2160°
Answer:
The answer is 1800!
Step-by-step explanation:
Answer:
B. 1800 degrees.
Step-by-step explanation:
Just took the quiz on Edg (2020-2021)!
How many terms does the polynomial x² + xy y2 have?
1 term
2 terms
3 terms
4 terms
Answer:
Step-by-step explanation:
x^2 + xy + y^2 has 3 terms they are:
x^2, xy, and y^2
hope it helps
plz mark as brainliest!!!!!!!!!!
The polynomial x²+xy+y² has 3 terms. Option C is correct.
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
Given polynomial;
⇒x²+xy+y²
The three terms are as follows;
x²
xy
y²
The polynomial x²+xy+y² has 3 terms.
Hence, option C is correct.
To learn more about polynomials, refer to:
https://brainly.com/question/17822016
#SPJ2
5. Write down the nth term of each of the following G.Ps
whose first two terms are given as follows. Also find
the term stated besides each G.P. i) 12,-3b,......sixth term
Answer:
1i) nth term = 12(-b/4)^(n-1)
ii) nth term = 3(-1/9)^(n-1)
2i) Sixth term= (-3b^5)/256
ii) Eight term = -1/1594323
Question:
The complete question as found on brainly (question-10746111):
Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.
i) 12,-3b,......sixth term
ii) 3,-1/3,..........;8th term?
Step-by-step explanation:
1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.
i) 12,-3b,......;sixth term
1st term = a= 12
r = common ratio = 2nd term /1st term
r = -3b/12 = -b/4
Then we would find the nth term
See attachment for details
ii) 3,-1/3,..........;8th term
1st term = a= 3
r = common ratio = 2nd term /1st term
r = (-⅓)/3 = (-⅓)(⅓) = -1/9
Then we would find the nth term
See attachment for details
2) we are to determine the sixth term in (i) and eight term in (ii)
See attachment for details
Sixth term= (-3b^5)/256
Eight term = -1/1594323
a theatre ticket costs £63 plus a booking fee of 3%.
what is the total price of the ticket?
Answer:
64.89£
Step-by-step explanation:
Given:
Theater ticket costs £63
Booking fee: 3% of original price
Solve for:
Total price of ticket
Solution:
Step 1: Select relevant procedure
The total price including the booking fee, then before working out the total price, the booking fee should be calculated.
Step 2: Perform the calculation
The booking fee of ticket is calculated by:
BF = 3% of £63 or (3/100) x 63 = 1.89
Adding up the ticket price and booking fee to get total price:
Total price = ticket price + booking fee = 63 + 1.89 = 64.89£
Hope this helps!
:)
Find the volume of a pyramid with a square base, where the side length of the base is 7.5 cm and the height of the pyramid is 10.2. Round your answer to the nearest tenth of a cubic centimeter
Answer:
The volume is 191.3 [tex]cm^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by the formula:
[tex]Volume=\frac{B\,*H}{3}[/tex]
where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2
Now, we use this value and the height 10.2 cm to find the volume:
[tex]Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3[/tex]
which rounded to the nearest tenth is: 191.3 [tex]cm^3[/tex]
Answer:
191.3
Step-by-step explanation:
if one song is $50 and i have $17000 how many songs can i buy
Answer:
340 songs, 17000/50 = 340 lol
Answer:
340
Step-by-step explanation:
17000÷50=340.
hope this helps
Which table represents the graph of a logarithmic function in the form y=log3x when b>1?
Answer:
The satisfied table of the given function[tex]y = log_{b} (x)[/tex]
x 1/8 1/4 1/2 1 2
y -3 -2 -1 0 1
Step-by-step explanation:
Explanation :-
Given logarithmic function [tex]y = log_{b} (x)[/tex] if b >1
Given first table
i)
put x = [tex]\frac{1}{8}[/tex] given b > 1 so we can choose b = 2
[tex]y = log_{2} (\frac{1}{8} )[/tex]
[tex]y = log_{2} (2^{-3} )[/tex]
we will apply logarithmic formula
log x ⁿ = n log (x)
[tex]y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3[/tex]
y = -3
ii)
put x = [tex]\frac{1}{4}[/tex] given b > 1 so we can choose b = 2
[tex]y = log_{2} (\frac{1}{4} )[/tex]
[tex]y = log_{2} (2^{-2} )[/tex]
we will apply logarithmic formula
log x ⁿ = n log (x)
[tex]y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2[/tex]
y = -2
iii)
put x = [tex]\frac{1}{2}[/tex] given b > 1 so we can choose b = 2
[tex]y = log_{2} (\frac{1}{2} )[/tex]
[tex]y = log_{2} (2^{-1} )[/tex]
we will apply logarithmic formula
log x ⁿ = n log (x)
[tex]y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1[/tex]
y = -1
iv)
put x = 1 given b > 1 so we can choose b = 2
[tex]y = log_{2} (1 )[/tex] = 0
y = 0
v)
put x = [tex]2[/tex] given b > 1 so we can choose b = 2
[tex]y = log_{2} (2 )[/tex]
y = 1
Final answer:-
The satisfied table of the given function
x 1/8 1/4 1/2 1 2
y -3 -2 -1 0 1
The first option is correct because that table of values represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].
Given:
The lograrithmic function form is [tex]y=\log_b x,b>1[/tex].
To find:
The table of values that represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].
Explanation:
It is given that [tex]b>1[/tex]. Let [tex]b=2[/tex], then
[tex]y=\log_2 x[/tex] ...(i)
Substitute [tex]x=\dfrac{1}{8}[/tex] in (i), we get
[tex]y=\log_2 \dfrac{1}{8}[/tex]
[tex]y=\log_2 \dfrac{1}{2^3}[/tex]
[tex]y=\log_2 2^{-3}[/tex]
[tex]y=-3[/tex]
Substitute [tex]x=\dfrac{1}{4}[/tex] in (i), we get
[tex]y=\log_2 \dfrac{1}{4}[/tex]
[tex]y=\log_2 \dfrac{1}{2^2}[/tex]
[tex]y=\log_2 2^{-2}[/tex]
[tex]y=-2[/tex]
Substitute [tex]x=\dfrac{1}{2}[/tex] in (i), we get
[tex]y=\log_2 \dfrac{1}{2}[/tex]
[tex]y=\log_2 2^{-1}[/tex]
[tex]y=-1[/tex]
Substitute [tex]x=1[/tex] in (i), we get
[tex]y=\log_2 1[/tex]
[tex]y=0[/tex]
Substitute [tex]x=2[/tex] in (i), we get
[tex]y=\log_2 2[/tex]
[tex]y=1[/tex]
The table of values is:
[tex]x[/tex] [tex]y[/tex]
[tex]\dfrac{1}{8}[/tex] [tex]-3[/tex]
[tex]\dfrac{1}{4}[/tex] [tex]-2[/tex]
[tex]\dfrac{1}{2}[/tex] [tex]-1[/tex]
[tex]1[/tex] [tex]0[/tex]
[tex]2[/tex] [tex]1[/tex]
Therefore, the first option is correct.
Learn more:
https://brainly.com/question/7975040
How much is 2a+b greater than 2b? Simplify your result
Step-by-step explanation:
2a+b is just greater than 2b with a
Write an expression for the sum of 12 + 10n
Answer:
22n
Step-by-step explanation:
Find all possible values of the fraction below. (Assume different letters are different digits, and the same letters are the same digits.)
Answer:
{0, undefined}
Step-by-step explanation:
There are 10 unique letters in the expression, so each one must stand for a different digit. Assuming the digits are multiplied as indicated, the digit 0 must appear in either the numerator or the denominator.
If 0 appears in the numerator, the value of the fraction is 0.
If 0 appears in the denominator, the value of the fraction is "undefined."
The only possible values of this fraction are {0, undefined}.
Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?
Answer:
40 feet
Step-by-step explanation:
Since x=4
3x-4=3(4)-4=12-4=8 feet
x^2-1=4^2-1=16-1=15 feet
2x^2-15=2(4)^2-15=2(16)-15=32-15=17 feet
Perimeter=8+15+17=40 feet
NEED ANSWERS FAST AS CAN, I WILL GIVE BRAINLIEST TO THE RIGHT ANSWERS. 1.Using the following image, find the midpoint of the line by completing the problems below. 2.Given the points (−2,5)and (6,−1)the midpoint is? 3.Given the points (9,−4)and (−5,2)the midpoint is ? 4.Given the points (−2,−5)and (−6,7)the midpoint is...The graph doesn't go with 2-4
Answer:
Calculate distance first - so using the image we know that if we use pythogorean theorm we can get 2 vectors of this line, 1 completely vertical and one completely horizontal. Apply pythogorean theorm to the line and use for all other question. So 6^2+2^2=c^2
36+4=c^2
distance √40 half of it is √10
So we can use for this for it. (4-√10, 0-√10) so its (4-√10, -√10) for first one
Now that we dont have the image for the line we can apply the distance formula because we dont have clear view of points for #2. -2-6 = -8 then we need 5-1 = 4, -8^2+4^2 = c^2 so then sqrt(80) is distance. 2√5 is half. So then we subtract from (-5, 2) highest point on graph.( -5-√20, 2-√20).
Since this is heavily on writing I expect you to do the rest. Calculating the distance and pythogorean theorm on your own.
First 2 answers are
(4-√10, -√10)
( -5-√20, 2-√20)
2.
Name the quadrant in which the point lies:
(a) A (1, 1)
(b) B (2,4)
(c) C (-3,-10)
(d) D (-1,2)
(e) E (1, -1)
() F (-2,-4)
(9) G (-3, 10)
(h) H (1, -2)
Answer:
hope this helps! pls mark brainliest
Step-by-step explanation:
a = quadrant 1
b = quadrant 1
c = quadrant 3
d = quadrant 2
e = quadrant 4
f = quadrant 3
g = quadrant 2
h = quadrant 4
PLZZZ HELPPP
Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.
Answer: 28/3 hours
Step-by-step explanation:
From the question, Kim and Josh can clean a house together in 3 hours while Kim alone uses 7 hours to clean the house by herself.
Kim's hourly rate will be to clean the house = 1/7 per hour.
In 4 hours:
Kim will have completed = 1/7 × 4 = 4/7 of the house
This mean that Josh completes:
1 - 4/7 = 3/7 of the house.
Josh's hourly rate will now be:
1/4 × 3/7 = 3/28 of the house per hour.
From Josh to clean the house alone, he will use:
= 1 ÷ (3/28)
= 1 × 28/3
= 28/3 hours
Josh will use 28/3 hours to clean the house alone?
please help , factor 6x^2-33x+15 A. 3(2x-5)(x+1) B. 3(x+1)(2x+5) C. 3(2x-1)(x+5) D. 3(x-5)(2x-1)
Answer:
D
Step-by-step explanation:
Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too
Answer:
3(2x-1 )(x-5 )
Step-by-step explanation:
6x^2-33x+15
Factor out the greatest common factor
3(2x^2 -11x +5)
Factor inside the parentheses
3(2x )(x )
We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative
3(2x-1 )(x-5 )
2 * -5 + -1 = -10-1 = -11
What ratios are equivalent to 10:16? What Apply
Answer:
The answer is option 1 and 3.
Step-by-step explanation:
Firstly, you have to find the simplest form of the ratio by dividing the common numbers :
[tex]10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8} [/tex]
Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :
Option 1,
[tex]30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 2,
[tex]25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)[/tex]
Option 3,
[tex] \frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 4,
[tex]8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)[/tex]
Option 5,
[tex]5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)[/tex]
Can anyone help me please.
[tex]answer \\ 26 \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The expression √7x is equivalent to the expression x√7
True or false
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
√7x is the square root of 7x
while x√7x is equivalent to x multiplied ythe square root of 7
Solve this inequality.
8x + 6 less than or equel to 54
Answer:
[tex]x\le 6[/tex]
Step-by-step explanation:
We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)
Subtract 6 on both sides of the equation as :
[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]
Dividing both sides of the equation by 8 such that,
[tex]x\le 6[/tex]
So, the value of x is less than equal to 6. Hence, this is the required solution.
The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
14 units
units
18 units
units
Answer:
18units
Question:
The complete question as seen from other website is stated below:
The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
Step-by-step explanation:
VW = 10units
WY = 8√3
XY = ?
ZX = ?
Find attached the diagram obtained from the information (1st image).
To determine XY, we would apply the tangent ratio.
Tan 60 = opposite/adjacent
Tan60 = (8√3)/XY
XY = (8√3)/ Tan60
In a 30°-60°-90° triangle theorem:
Find attached the diagram (2nd image)
Tan 60 = opposite/adjacent
Tan 60 = √3/1
Tan60= √3
XY = (8√3)/ Tan60
XY = (8√3)/√3
XY = 8units
ZX = ZY + XY
VW = ZY = 10units (the breadth of rectangle are equal)
ZX = 10 + 8
ZX = 18 units
what is the inverse of the function
Answer:
[tex]g^{-1}(x)=-\frac{3}{2}(x+5)[/tex]