Answer:
x = 1/2 or 3
Step-by-step explanation:
Compare the given equation to the standard form equation to identify the values of the variables in the formula. Then put those values in the formula and do the arithmetic.
[tex]ax^2+bx+c=0\\\\2x^2-7x+3=0\\\\a=2;\ b=-7;\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4(2)(3)}}{2(2)}=\dfrac{7\pm\sqrt{25}}{4}=\dfrac{7\pm 5}{4}\\\\x=\left\{\dfrac{1}{2},3\right\}[/tex]
Answer:
x = 3x =1/2Step-by-step explanation:
[tex]2x^2-7x+3=0\\\\x_1 ,2 =\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=2\\\:b=-7\\,\:c=3\\:\quad x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\=\frac{7+\sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\7+\sqrt{\left(-7\right)^2-4\times\:2\times\:3}=7+\sqrt{25}\\\\=\frac{7+\sqrt{25}}{2\times\:2}\\\\=\frac{7+\sqrt{25}}{4}\\\\\sqrt{25}=5\\\\=\frac{7+5}{4}\\\\=\frac{12}{4}\\\\=3 \\[/tex]
[tex]x=\frac{-\left(-7\right)-\sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\=\frac{7-\sqrt{\left(-7\right)^2-4\times\:2\cdot \:3}}{2\times\:2}\\\\7-\sqrt{\left(-7\right)^2-4\times \:2\times\:3}=7-\sqrt{25}\\\\=\frac{7-\sqrt{25}}{2\times \:2}\\\\=\frac{7-\sqrt{25}}{4}\\\sqrt{25}=5\\\\=\frac{7-5}{4}\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]
B (-3,3) A (-5,-4) what is the mud point of AB
Answer:
(-4, -1/2)
Step-by-step explanation:
The midpoint between two points (x₁, y₁) and (x₂, y₂) is given by:
((x₁ + x₂)/2, (y₁ + y₂)/2)
So in this case:
((-3 - 5)/2, (3 - 4)/2) = (-8/2, -1/2) = (-4, -1/2)
At a particular moment, Earth is 4.3 x 109 km from Nepture and 1.5 x 109 from Saturn. How many times further away is Neptune from Saturn?
Answer:
Neptune is 2.86 times further away from Saturn.
Step-by-step explanation:
Distance from Neptune to Earth is [tex]4.3\times 10^9\ km[/tex]
Distance from Saturn to Earth is [tex]1.5\times 10^9\ km[/tex]
We need to find how many times Neptune is further away from Saturn. It can be calculated by dividing distance from Neptune to Earth to the distance from Saturn to Earth as follows :
[tex]\dfrac{d_N}{d_S}=\dfrac{4.3\times 10^9}{1.5\times 10^9}\\\\\dfrac{d_N}{d_S}=2.86\\\\d_N=2.86\times d_S[/tex]
It would mean that Neptune is 2.86 times further away from Saturn.
Order the numbers from least to greatest. 1=least and 4=greatest
LaTeX: \sqrt{\frac{9}{4}}9 4
LaTeX: \sqrt{5}5
LaTeX: 2.52.5
LaTeX: \frac{5}{3}
Answer:
[tex]\sqrt{\frac{9}{4}}[/tex] [tex]\frac{5}{3}[/tex] [tex]\sqrt{5}[/tex] [tex]2.5[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{\frac{9}{4}}[/tex]
[tex]\sqrt{5}[/tex]
2.5
[tex]\frac{5}{3}[/tex]
Required
Order from least to greatest
Start by simplifying each expression
[tex]\sqrt{\frac{9}{4}}[/tex]
Split square root
[tex]\frac{\sqrt{9}}{\sqrt{4}}[/tex]
Take square root of numerator and denominator
[tex]\frac{3}{2}[/tex]
[tex]1.5[/tex]
Hence
[tex]\sqrt{\frac{9}{4}} = 1.5[/tex]
-----------------------------------------------------------
[tex]\sqrt{5}[/tex]
[tex]\sqrt{5} = 2.2361[/tex] (Approximated)
-----------------------------------------------------------
[tex]2.5[/tex]
-----------------------------------------------------------
[tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3} = 1.6667[/tex]
Considering the simplified expression; the number from least to greatest is:
[tex]\sqrt{\frac{9}{4}}[/tex] [tex]\frac{5}{3}[/tex] [tex]\sqrt{5}[/tex] [tex]2.5[/tex]
Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4. Is Gwen correct? Explain why or why not.
Answer: No
Step-by-step explanation: no because one is negative 1 3/4 and the other one isint in the negatives
The sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 by cumulative property.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There are summations with an infinite set of parameters.
The summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.
Cumulative property is the property summation states;
x + y will be equal to y + x ⇒ x +y = y + x
Now given,
The sum of -1 3/4 and 2 1/2 ⇒ -1 3/4 + 2 1/2
By cumulative property,
-1 3/4 + 2 1/2 = 2 1/2 + -1 3/4
The difference between 2 1/2 and 1 3/4 ⇒ 2 1/2 - 1 3/4
Hence "The sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 by cumulative property".
For more information about summation,
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Multiply (3)(-4)(2)
1. -48
2. -24
3. 24
4. 48
Convert percentage into decimals and fractions a.20% b.71% c.75% d.62.5%
Answer:
1/5 = 0.271/100 =0.713/4 = 0.750.625Step-by-step explanation:
a.
[tex]20\%\:\\\\20\%\:=\frac{20}{100}\\\\\mathrm{Simplify}\:\frac{20}{100}\\\\=\frac{1}{5}\\\\\frac{1}{5}:\quad 0.2[/tex]
b.
[tex]71\%\:\\\\71\%\:=\frac{71}{100}\\\\=\frac{71}{100}\\\\\frac{71}{100}:\quad 0.71[/tex]
c.
[tex]75\%\:\\\\75\%\:=\frac{75}{100}\\\\\mathrm{Simplify}\:\frac{75}{100}\\\\=\frac{3}{4}\\\\\frac{3}{4}:\quad 0.75[/tex]
d.
[tex]62.5\%\\\\= \frac{62.5}{100}:\\\\\quad 0.625\\[/tex]
What type of number is 8/2?
Answer:
Step-by-step explanation:
8/2
Numerator is bigger than denominator. So it is improper fraction and rational number
Rational numbers are any number that can be written in p/q form
Answer:
it should be improper fraction
Step-by-step explanation:
because the numerator is greater than the denominator.
Hope it helps :)
Madeline usually makes 85% of her shots in basketball. if she attempts 20, how many will she likely make?
Answer:
17
Step-by-step explanation:
If you divide 20 by 100 then multiply by 85 you get the number shes likely to make
Answer:
17
Step-by-step explanation:
She will make 17 shots because:
[tex]\frac{85 x 20}{100}[/tex] = 17.
So, the answer is 17. Hope this helps!
help me out here pleaseee
Answer:
Wednesday: 45 - 18
Thursday: 55 - 22
Step-by-step explanation:
18*2.5=45
55/5=11
11*2=22
Answer:
Trees Planted Unknown Value = 45
Trees Harvested Unknown Value = 22
Step-by-step explanation:
Plants : Harvest
= 5 : 2
= x : 18
= 5 * x : 2 * x
= 5 * x : 18 / 2
= 5 * x : 9
= 5 * x : x
= 5 * x : 2 * x
= 5 * 9 : 2 * 9
= 45 : 18
Trees planted value = 45
Plants : Harvest
= 5 : 2
= 55 : y
= 5 * y : 2 * y
= 55 / 5 : 2 * y
= 11 : 2 * y
= y : 2 * y
= 5 * y : 2 * y
= 5 * 11 : 2 * 11
= 55 : 22
Trees harvested value = 22
I really hope this helps! Tell me if I am incorrect!
17.Two pipes A and B can fill an empty tank in 3hrs and 5hrs respectively. Pipe C can empty the full tank in 6 hours. If the three pipes A, B, and C are opened at the same time, find how long it will take for the tank to be full. *
3 points
Answer:
It will take 11/30(cistern/hour) for the tank to be full
Usha had a balance of -$84. She worked for 6 days and put half the money in the bank. Now she had a balanve of -$45. How much does Usha get paid every day for newspaper delivery?
Answer:
Per day earning is $1.
Step-by-step explanation:
Initial balance that Usha had = $84
Number of working days = 6 days
Total money after working 6 days = $45 × 2 = $90
Since we know that the initial amount is $84 and the final amount is $90. Thus the amount earned by working 6 days is 90 – 84 = $6.
Now we have to calculate the per day earning. Therefore, just divide the earning with number of days.
Per day earning = $6 / 6 = $1
In the set of numbers from 1 to 10, which elements are in both the subset of even numbers, and the subset of multiples of 5?
Answer:
10
Step-by-step explanation:
Let A = set of numbers from 1 - 10
A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Let B = subset of A which are even numbers
B = {2, 4, 6, 8, 10}
Let C = subset of A which are multiples of 5
C = {10}
which elements are in both the subset of even numbers, and the subset of multiples of 5:
AnB means elements which appears in both set B and C
BnC = {5}
Which of the following is equal to 393,500? 3.935 × 10 -5 3.935 × 10 5 0.3935 × 10 -6 39.35 × 10 -4
Answer:
3.935 x 10^5.
Step-by-step explanation:
There are five digits after the first 3 so it will be 10^5.
The answer is 3.935 x 10^5.
393500 equals 3.935×10⁵
What is an exponent?If we write xⁿ then we mean to say that x is multiplied n times.
The exponent of a number says how many times the number is multiplied by itself.
How to calculate?393500=3.935×100,000=3.935×10⁵
Hence, 393500=3.935×10⁵
Learn more about exponents here- https://brainly.com/question/5497425?referrer=searchResults
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What is the approximate value of sin C?
Please help! Urgent
Answer:
B. 0.36
Step-by-step explanation:
Given:
Right ∆ABC,
AB = 5
BC = 13.93
CA = 13
Required:
Value of sin C
SOLUTION:
[tex] sin(C) = \frac{opposite}{hypotenuse} [/tex]
Opposite = 5
Hypotenuse = 13.93
[tex] sin(C) = \frac{5}{13.93} [/tex]
[tex] sin(C) = 0.3589 [/tex]
[tex] sin(C) = 0.36 [/tex]
the answer would be B, 0.36
PLEASE HELP 25 points with brainiest and 5 stars and thanks
Answer:
1/4
Step-by-step explanation:
3 red + 6 green = 9 total
P( red) = red/total = 3/9 = 1/3
Now we don't put it back
2 red + 6 green = 8 total
P( green) = green/total = 6/8 = 3/4
P (red, keep,green) = 1/3 * 3/4 = 1/4
Answer:
[tex]\Large \boxed{{\frac{1}{4} }}[/tex]
Step-by-step explanation:
There are 3 red clips and 6 green clips.
Total clips = 3 + 6 = 9
The probability of picking a red clip is 3/9 = 1/3.
You don’t put the red clip back.
Now there are 2 red clips and 6 green clips.
Total clips = 2 + 6 = 8
The probability of picking a green clip is 6/8 = 3/4
P(pulling out a red clip and then a green clip) = 1/3 × 3/4 = 3/12 = 1/4
5y-5y^2-5+2+2y+3y^2-1
Answer: -2y^2+7y-4
Step-by-step explanation:
Combine -5y^2 and 3y^2 to get -2y^2.
Combine 5y and 2y to get 7y.
Combine -5, 2, and -1 to get -4.
Put these in order with the highest exponent first.
-2y^2+7y-4
zoey inflates 24 balloons for decorations at the middle school dance. if zoey inflated 15% of the total number of balloons for the dance, how many balloons are there total?
Answer:
160 balloons
Step-by-step explanation:
Step 1: State what is known
She blew up 24 balloons
She only inflated 15%
We want to find the total amount of balloons
Let the total balloons equal "x"
Step 2: Write you equation
[tex]0.15x=24\\\frac{0.15x}{0.15} =\frac{24}{0.15} \\x = 160[/tex]
Therefore there are 160 balloons in total
What is the value of (-140 ^0) ^ -2
Answer:
1
Step-by-step explanation:
[tex](-140 ^0) ^ -2\\1^-2\\1\\[/tex] (Any number whose exponent in 0, becomes 1)
What is the average of 35, 27, 54, 28?
Answer:
36
Step-by-step explanation:
To find the average of a series of numbers, add them together and then divide by the count of numbers, i.e., 4.
(35 + 27 + 54 + 28) / 4 = 36
Answer:
answer is 36
Step-by-step explanation:
for finding average we have to add all the numbers and by dividing that by the total number present we can get the average
so there are 4 numbers
average= 35+27+54+28/ 4
or 144/4= 36 (ans)
thank uu
A painter can finish painting a house in 7 hours. Her assistant takes 9 hours to finish the same job. How long would it take for them to complete the job if they were working together? Group of answer choices
Answer:
x=3 15/16 hours together
Step-by-step explanation:
the painter paints 1/7 of the house in 1 hour
the assistant paints 1/9 of the house in 1 hour
x=# of hours it takes them together to paint the house
(1/7)x+(1/9)x=1 (job finished)
multiply both sides by the LCM which is 63
63(1/7)x+63(1/9)x=63(1)
9x+7x=63
16x=63
x=63/16
x=3 15/16 hours together
Suppose the function H(t) gives the heart rate of a runner at various points in time (in minutes) during a 5 mile run, which takes the runner 57 minutes and 30 seconds to complete. The runner's heart rate never goes above 185 beats per minute. Describe an appropriate domain this function
Answer:
[0, 57.5]
OR
0 - 57.5
Step-by-step explanation:
Given the function [tex]H(t)[/tex] which gives the heart rate as per time.
That means Heart rate of the runner changes according to time.
[tex]H(t)[/tex] is a function which takes Time as input as observed by the function's representation. In bracket, there is [tex]t[/tex].
That also means time [tex]t[/tex] is the input to the function [tex]H(t)[/tex].
It is also given that during the time as the runner runs, the heart beat will change.
The output of the given function will be Heart beat of the runner.
Time taken to complete the run is given as 57 minutes and 30 seconds.
Domain of a function is the valid inputs that can be given to the function for which the output of the function is defined.
Here, time in minutes is the input to the function.
So, maximum time can be 57.5 minutes.
And as the runner will start from the time = 0 minutes
So, the valid inputs can be from 0 to 57.5 minutes.
Therefore, the domain is [0, 57.5]
OR
0 - 57.5
Which value of x satisfies the equation 1/2 (x+ 5/2)= 15/4?
Answer:
x = 5
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] (x + [tex]\frac{5}{2}[/tex] ) = [tex]\frac{15}{4}[/tex]
Multiply both sides by 4 to clear the fractions
2(x + [tex]\frac{5}{2}[/tex] ) = 15 ← distribute parenthesis on left side
2x + 5 = 15 ( subtract 5 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Answer:
x = 5
Step-by-step explanation:
i solved x using trial and error
1/2 (x+ 5/2)= 15/4
so i tried with 2
1/2 (2 + 5/2)= 9/4
which is too less, so i tried with 7
1/2 (7+ 5/2)= 19/4
which is too big, so i tried with 6
1/2 (6+ 5/2)= 17/4
which is nearly there and i tried with 5
1/2 (5+ 5/2)= 15/4
and it came exactly
What do the intervals [0, 6], [0, 6), and (0, 6) have in common? What makes them different?
Answer:
[0,6] means that its the numbers from 0 through 6 containing 0 and 6
[0,6) means that it contains the numbers from 0 through 6 containing 0 but not 6
(0,6) means that it contains the numbers from 0 through 6 containing not 0 or 6.
Step-by-step explanation:
Jordan wants to solve the following system using the elimination method:
2x + 3y = 10
x + y = 7
What number should the equation x + y = 7 be multiplied by to eliminate y?
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
2x + 3y = 10 → (1)
x + y = 7 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate y
- 3x - 3y = - 21 → (3)
Add (1) and (3) term by term to eliminate y, that is
- x = - 11 ( multiply both sides by - 1 )
x = 11
Substitute x = 11 into either of the 2 equations and evaluate for y
Substituting into (2)
11 + y = 7 ( subtract 11 from both sides )
y = - 4
Solution is (11, - 4 )
I NEED HELP PLEASEEEEE :(
Answer:
4
Step-by-step explanation:
4x4x4x4=256
What are the solutions to the following equation? x²+8x+15=0
The value of x is = -5, -3
Elaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 in wide 12 in long and 5 cm deep. ( 1 gallon=231 in^3, 1 inch=2.54cm)
Answer:
b. The paint will not fill the tray by 5.22 in3.
Step-by-step explanation:
The computation is shown below:
First we have to determine the volume of tray by using the following equation
[tex]V = L \times W \times H[/tex]
Now transform this from dimensions to inches
Now putting the values,
[tex]V = 10\times12\times (5\times(\frac{1}{2.54})) \\\\As\ 5 cm = 5 \times (\frac{1}{2.54})[/tex]
the volume would be equivalent to the
236.22 inches^3
Now 1 gallon is 231 inches^3
So, the remaining would be
= 236.22 - 231
= 5.22^3
Therefore the correct option is b.
Hence, all the other options are wrong
PLEASE HELP ME!! The deepest point of Lake Titicaca in South America is -922 feet relative to its surface. The deepest point is 11,542 feet above sea level. What is the elevation of this lake?
Answer:
12,464 ft
Step-by-step explanation:
I assume that the elevation of the lake is the altitude at the surface of the water.
The surface of the lake is 922 ft above the deepest point of the lake.
11,542 ft + 922 ft = 12,464 ft
Kim read 3 books in 2 hours. She took the same amount of time to read the
first 2 books. She took 15 minutes longer to read the third book than the first
How many minutes did she take to read the third book?
Answer: Kim took 50 minutes to read the third book.
Step-by-step explanation: If you substract 120 - 15 = 105. Then divide 105 / 3 = 35. And finally add 35 + 15 = 50.
Can there be more than one coefficient in a expression?
Answer:
yes
Step-by-step explanation:
take for example
in the expression: 3x²+5x+2=0,
the coefficients here are +3 and +5 while +2 is a constant. +3 and +5 are coefficients of the variables x² and x respectively