[tex]\\ \rm\bull\rightarrowtail x^2-3x+27=6x+7[/tex]
[tex]\\ \rm\bull\rightarrowtail x^2-3x-6x+27-7=0[/tex]
[tex]\\ \rm\bull\rightarrowtail x^2-9x+20=0[/tex]
[tex]\\ \rm\bull\rightarrowtail x^2-5x-4x+20=0[/tex]
[tex]\\ \rm\bull\rightarrowtail x(x-5)-4(x-5)=0[/tex]
[tex]\\ \rm\bull\rightarrowtail (x-4)(x-5)=0[/tex]
[tex]\\ \rm\bull\rightarrowtail x=4,5[/tex]
»x² - 3x + 27 = 6x + 7
ax² + bx + c = 0»x² - 3x + 27 - 6x - 7 = 0
»x² - 9x + 20 = 0
»(x - 4)(x - 5) = 0
»(x - 4) = 0 V (x - 5) = 0
For [tex]\tiny x_1[/tex]»x - 4 = 0
»x = 0 + 4
»x = 4
For [tex]\tiny x_2[/tex]»x - 5 = 0
»x = 0 + 5
»x = 5
x = {x| 4 or 5, x€R}Use a protractor to draw a quadrilateral so that three of its four sides measure 7 centimeters each. The angles between these sides have measures of 85° and 120°. What is the length of the fourth side? 7. 5 cm 8. 6 cm 9. 8 cm 10. 1 cm.
Draw two lines of 7 cm at an angle of 85° and 120°. Then join the terminal of the lines. The quadrilateral is formed. The length of the fourth side of the quadrilateral is 7.5 cm.
What is a quadrilateral?It is a polygon that has four sides. The sum of the internal angle is 360 degrees.
Three of its four sides measure 7 centimeters each.
The angles between these sides have measures of 85° and 120°.
First, draw two lines of 7 cm at an angle of 85°. And from another end of the line draw a 7 cm line at an angle of 120°.
Then join the terminal of the lines. The quadrilateral is formed.
The length of the fourth side of the quadrilateral is 7.5 cm.
More about the quadrilateral link is given below.
https://brainly.com/question/6321910
Answer: The correct answer is 9.8
Step-by-step explanation:
Reviewed my Work and Studies to find out!
At a local pizza place, the cost for 3 small pizzas and 3 medium pizzas is $51 The cost for 5 small and 2 medium is $55 How much will it cost for 3 small and 2 medium pizzas?
Answer:
32
Step-by-step explanation:
what is the answer to (4.575 ÷ 275) × 2
Answer:
0.0334
Step-by-step explanation:
(4.575 ÷ 275) × 2
0.0167 * 2
Hope this helps!
What is the product?
5
-2
Х
-6 2
Answer:
the product of that equation is X
A cell phone company charges
$39. 99 flat fee each month, plus $0. 05per minute. If m represents the number of minutes used in a month, which expression can be used to calculate a monthly payment?
Answer: p = 39.99m + 0.05
Step-by-step explanation:
39.99 is your slope because it's the value that depends on the number of minutes while .05 is your y-intercept and it's just a one-time fee.
how to solve this :') please help
Answer:
3/2
Step-by-step explanation:
sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =
[tex]\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\[/tex]
Use [tex]\cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1[/tex]
so
[tex]\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}[/tex]
Order each set of integers from least to greatest 7,-6,4,-10,3 (please be quick)
Answer:
-10,-6,4,3,7
Step-by-step explanation:
negatives are backwords the higher it gets the smaller the value
Answer:
-10,-6,3,4,7
Step-by-step explanation:
dorry did it as fast as i can
Based on the resultant matrix, what is the number string that corresponds to the decoded message?
The matrix shown represents its elements in rows and columns
Using the assumed matrix, the operation performed on the initial matrix to determine the new resultant matrix is R3 -> 2R2 + R3.
How to determine the matrix operation?The question is incomplete, as the matrix is not shown.
So, I will give a general explanation.
Assume that the matrix is given as:
[tex]\left[\begin{array}{cccc}-4&1&2&4&0&-1&3&1&3&2&4&5\end{array}\right][/tex]
Multiply the elements on the second row (Row 2) by 2.
So, we have:
2R2 = 0 -2 6 2
Add these elements to the third row (Row 3).
So, we have:
2R2 + R3 = 3 0 10 7
Replace the row 3 by the above elements.
i.e.
R3 -> 2R2 + R3.
So, we have:
[tex]\left[\begin{array}{cccc}-4&1&2&4&0&-1&3&1&3&0&10&7\end{array}\right][/tex]
Hence, the operation performed on the initial matrix to determine the new resultant matrix is R3 -> 2R2 + R3.
Read more about matrix at:
https://brainly.com/question/1821869
125-25
cash prize first to answer leave your cash name
first answer = brainliest
this is the answer
x=2
y=3
Write a story problem to go with the multiplication problem 3 x 7/8
Answer:
Elias Nebiyu gives seven breads for his eight friends and he continues this give away for three days.
Step-by-step explanation:
3x 7/8 result is attached above.
3 times 1 times 5/3 pleaseeeeeee helpppp
Answer:
5
Step-by-step explanation:
3*1*5/3=5
Paula works at a reception hall and is setting tables for a retirement party. She takes a basket of 98 soup spoons, and she places 8 soup spoons on every table she sets. After Paula sets all the tables, there are 26 soup spoons left. How many tables are there?
Answer:
9 tables
Step-by-step explanation:
First, subtract the remainder from the original:
98 - 2672Now, we know that she places 8 spoons per table, so let's divide the number of spoons by 8 to find the number of tables:
72 ÷ 89There are 9 tables at the retirement party.
-Chetan K
A boat’s velocity, measured in meters per second, is described by vector b =〈3,-4〉. In two or more complete sentences explain how to find the speed of the boat and the direction it is traveling in standard position. In your final answer, include all of your calculations.
Answer:
S 36.87° E
Step-by-step explanation:
It moves in a certain direction determined by
(y/x) = arctan
arctan (-4/3) 306.87° arctan (-4/3) arctan (-4/3) arctan (-4/3) arctan (-4/3) arctan (-4/
S 36.87° is another way of describing this travel direction.
HELPPPP
What is the value of x for this question? show work pls im confused
Answer:
Step-by-step explanation:
In similar polygons, corresponding sides are in same proportion
[tex]\dfrac{GK}{VR}=\dfrac{KN}{RP}\\\\\\\dfrac{14.7}{6.3}=\dfrac{x+1}{4x-3}\\\\\dfrac{0.7*10}0.3*10}=\dfrac{x+1}{4x-3}\\\\\dfrac{7}{3}=\dfrac{x+1}{4x-3}[/tex]
Cross multiply
7*(4x-3)=3*(x+1)
28x - 21 = 3x + 3
28x - 3x - 21 = 3
25x = 3 + 21
25x = 24
x = 24/25
x = 0.96
Scale factor = 7 : 3
someone please answer this, ill give you brainliest and your getting 100 points.
Answer: In order, the boxes are -9, 1, -9
Step-by-step explanation:
The vertex is the tip point of an absolute value function, which in this case is (-9,1).
The axis of symmetry is a symmetrical line through the fuction which goes through the vertex which would be x = -9.
Shawn is buying a new plasma television. The height of the screen of the tv is one half the width plus 5 inches. the width is 30 inches. What is the height of the tv?
Using a system of equations, it is found that the height of the TV is of 20 inches.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable h: The TV's height.Variable w: The TV's width.The height of the screen of the tv is one half the width plus 5 inches, hence:
h = 0.5w + 5.
Since the width is of 30 inches:
h = 0.5 x 30 + 5 = 15 + 5 = 20.
The height of the TV is of 20 inches.
More can be learned about system of equations at https://brainly.com/question/24342899
i will give 10 brainly to whoever answers this for me im not this smart
Answer:
option C is correct.
Step-by-step explanation:
unit rate: [tex]\sf \dfrac{change \ in \ y}{change \ in \ x}[/tex]
A) [tex]\sf \frac{10}{4} / \frac{5}{6} = 3[/tex]
B) [tex]\sf \frac{1}{2} / \frac{2}{3} = \frac{3}{4}[/tex]
C) [tex]\sf \frac{4}{9} / \frac{4}{3} = \frac{1}{3}[/tex]
D) [tex]\sf \frac{3}{8} / \frac{1}{8} = 3[/tex]
/ - refers to division symbol
Which expression is equivalent to -9-(-4 1.3)
Answer:
Step-by-step explanation:
-9 - (-41)
minus and minus = plus
so 9+ 41 = 50
add the - back
-50 is ur answer
Daniel is able to land his backflip 60% of the time. He tells his friend that in his next 5 backflips, he will land more than 3 of them. To estimate the probability of this happening, Daniel uses a computer to randomly select 5 numbers from 1 through 5. He lets 1 through 3 represent landing his backflip and 4 and 5 represent not landing it. He repeats this for a total of 22 trials and records the results in the table below. 43113 43323 21245 53154 11545 44511 45221 14221 11123 55131 24535 35133 21454 41314 55242 52214 53542 15231 31244 54541 31415 52522 What is the best estimate, based on this simulation, of the probability that in his next 5 backflips Daniel will land more than 3 of them? 27% 39% 41% 68%.
The best estimate, based on this simulation, of the probability that in his next 5 backflips Daniel will land more than 3 of them is 27%.
Given
Daniel is able to land his backflip 60% of the time.
He tells his friend that in his next 5 backflips, he will land more than 3 of them.
Daniel uses a computer to randomly select 5 numbers from 1 through 5. He lets 1 through 3 represent landing his backflip and 4 and 5 represent not landing it.
He repeats this for a total of 22 trials and records the results in the table below.
43113 43323 21245 53154 11545 44511 45221 14221 11123 55131 24535
35133 21454 41314 55242 52214 53542 15231 31244 54541 31415 52522
Probability;Probability is defined as the number of trials in which he landed more than three times/Total number of trials.
Let, p denotes the probability of an event.
The best estimate, based on this simulation, of the probability, that in his next 5 backflips Daniel will land more than 3 of them is;
[tex]\rm Probability=\dfrac{6}{22} \times 100\\\\Probability =\dfrac{600}{22}\\\\Probability=27[/tex]
Hence, the best estimate, based on this simulation, of the probability that in his next 5 backflips Daniel will land more than 3 of them is 27%.
To know more about probability click the link given below.
https://brainly.com/question/795909
quantitative techniques
Answer:
Quantitative methods emphasize objective measurements and the statistical, mathematical, or numerical analysis of data collected through polls, questionnaires, and surveys, or by manipulating pre-existing statistical data using computational techniques.
What is the exact volume of the cylinder? A.) 54pi in3
B.) 108pi in3
C.) 162pi in3
D.) 324pi in3
PLEASE ANSWER FAST
Answer:
Choice D
Step-by-step explanation:
You use the formula V=pi(radius^2)(h). Once you take the pi out and plug in the numbers, you should get V= 6^2(9). You get 324 with the pi added on after it.
Answer:
B
Step-by-step explanation:
Just had this on a test!
Good luck!
Please mark brainliest!
Have an amazing day!
What is the value of v?
Answer:
43
Step-by-step explanation:
2v+v-7+58=180(Angle Sum Property)
3v+51=180
3v=180-51=129
3v=129
v=129/3
=43
Find the value of x.
Answer:
Step-by-step explanation:
Since they are vertical angles, they are equal to each other
3x=80-x
solve
4x=80
x=20
Answer:
x = 20
Step-by-step explanation:
==> 3x = 80 - x
=>Pass x to the other side the - sign into to +
==> 3x + x = 80
==> 4x = 80
==>[tex]x = \frac{80}{4} [/tex]
==> 80 ÷ 4
==> x = 20
A culture of bacteria that initially contained 2000 bacteria has a count of 18000 after 2 hrs. Determine the function that expresses the continuous exponential growth of the number of bacteria as a function of time, t, in hours.
Answer:
y= 8000x + 2000
Step-by-step explanation:
to find the formula we can use the points given in the question:
the slope:
to get the slope we can take the 2 points, (0,2000) and (2,18000) where x values are time and y values are bacteria
now using slope-intercept form we can get [tex]\frac{18000-2000}{2-0}[/tex] which gives a slope of 8000 meaning for each hour there are 8000 new bacteria
intercept:
since we start with 2000 bacteria we know this is the y intercept so when x is 0
formula:
y=8000x + 2000
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
2 vertical and -11 horizontal
Step-by-step explanation:
Consider the intial value problem 2ty' = 4y, y(1) = -2.
Answer:
y+-2t^2
Step-by-step explanation:
Find the slope of intercept of the line that passes through (-3,-5) and has a slope of 1/3
Select the correct answer.
Which equation represents the line that is parallel to y= 3 and passes through (-2,-8)?
OA
x= -2
B.
x= 3
O c. y=-8
ОО
D
y= 3x-2
Answer:
y = -8
Step-by-step explanation:
y = 3
is a "flat" horizontal line, which means every point on that line has the same y value no matter what x value we would consider.
any line parallel to that is then also a horizontal line with a constant y value. which y value ? well, the y coordinate of the given point tells us : (-2, -8)
so, the line equation is
y = -8
Answer:
C, y=-8
Step-by-step explanation:
Which equation represents the line that is parallel to y= 3 and passes through (-2,-8)?
y=3 means the y value is always 3, so the line is horizontal and parallel to the y axis.
A, x= -2 this is a vertical line
B. x= 3 this is a vertical line
C, y=-8 this is a horizontal line, where y is always -8 so it is parallel and will pass through -2
D, y= 3x-2 this line will be at an angle
please help me its on the image please
Answer: I don’t know if you want the area or just y but anyways, y= 9
Step-by-step explanation:
The question requires a scale factor (since both triangles have similar sides (an equal ratio is a good way to think about it) the 10cm side of the large triangle is proportionate to the same side of the smaller triangle.
In other words to get that scale factor (how much one shape is bigger than the other) we need to divide the 10 by 4 (you need to use the same side you can’t do 10/6 because they are completely different sides) 10/4 = 2.5
Now we know the larger triangle is 2.5 times bigger than the smaller triangle. This means the smaller triangle is 2.5 times smaller than the big triangle. So to find the base of the larger triangle we use a similar method we used to find the scale factor (but not divide multiply because when you want to find the bigger you multiply when you want to find scale factor/ smaller you divide) so 6* 2.5= 15 and since y is not the entire base only a part of it, we can do 15(which is the entire length of the big triangle base) - 6 = 9
Therefore y=9