The values are [tex]b=-20\text{ and }c=101[/tex]
The quadratic function, expressed in factored form is
[tex](x-(10+i))(x-(10-i))=g(x)[/tex]
Expanding and simplifying
[tex]g(x)=(x-(10+i))(x-(10-i))\\=x^2-x(10-i)-x(10+i)+(10+i)(10-i)\\=x^2-10x+xi-10x-xi+100-i^2\\=x^2-10x-10x+100+1\\=x^2-20x+101[/tex]
since
[tex]g(x)=ax^2+bx+c=x^2-20x+101[/tex]
we can equate coefficients of like-terms and conclude that
[tex]a=1,b=-20,c=101[/tex]
Learn more about quadratic equations here: https://brainly.com/question/12995618
You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose mixture is more acidic?
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Answer:
You:If it’s was 6 cups of citric I’d be to 32 water
Your friend: if it was 4 cups it’d be 12 water
Step-by-step explanation:
I believe your friends is more acidic because your Is being diluted more
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of
the tree were measured. The
length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet
6 inches. What is the height of
the tree?
Answer:
17.25
Step-by-step explanation:
Help please!!
Question in picture!
Answer:
4x + 6y, 24
Hope you could get an idea from here.
Doubt clarification - use comment section.
solve the following quadratic equation
2×2-x=21
[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]
Answer:
x1=7/4, x2=-3
Step-by-step explanation:
[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]
Find the value of x.
Answer:
X=24
Step-by-step explanation:
(X+16)°+6x=180°(being co-interior angle)
7x=180-16
X=164÷7
X=23.428
X=23
or,
(3x-1)+5x=180(being co-interior angle)
8x=181
X=181÷8
X=22.625=23
Andrew measured a line to be 12.2 inches long. If the actual length of the line is 12.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The percent error of the measurement, to the nearest tenth of a percent is 3.9%
Given:
Length measured = 12.2 inches
Actual length = 12.7 inches
Error = Actual length - Length measured
= 12.7 - 12.2
= 0.5
Percentage error = error / actual value × 100
= 0.5/12.7 × 100
= 0.039370078740157 × 100
= 3.937%
Approximately,
Percentage error = 3.9%
Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%
Learn more about percentage error:
https://brainly.com/question/5493941
ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.
Answer:
=32
Step-by-step explanation:
the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)
8% of 60 is half of what number
Answer:
9.6
Step-by-step explanation:
8% of 60 is 4.8
4.8 is half of 9.6
hope this helps! :D
have a miraculous day!! <3
Answer:
9.6
Step-by-step explanation:
8% of 60 is equal to 4.8
To find what 4.8 is half of, multiply 4.8 by 2
4.8 times 2 equals 9.6
pls help it's due today
Answer:
x = 5
y = 8.66
Step-by-step explanation:
I hope this helps!!
Given: AC = 4DC, BC = 4EC
Prove: A = D
How do I write 4 times difference of a number and 8
Answer:
4(n-8)
Step-by-step explanation:
4(n-8)
I think it'd be written like this
14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55
Answer:
The second one or B
Step-by-step explanation:
1/4 = 0.25 then 0.55 then 79% = 0.79
Which expression shows a way to find 22 X 46?
Answer:A. (22)(40)+(22)(6)
Step-by-step explanation: (22)(40)+(22)(6)
880+(22)(6) 880+132 1012
Hey y’all pls help me ASAP :)
Answer:
m + 8 ≥ -8
Step-by-step explanation:
Answer:
m+8≥-8
Step-by-step explanation:
Just ask.
Hope this helps!
Please graph as this coordinate plane is. Thank you
Answer:
hope this helps :)
please help i cant figure out the accurate answer i beg and i will mark brainlist
Answer:
D
Step-by-step explanation:
50-40=10
8-39=-31
-31/10=-3.1
So the answer is D.
Hope this helped! :)
Supply the missing reasons to complete the proof.
Answer:
3. ASA
4. Corresponding sides of congruent triangles are congruent
Step-by-step explanation:
I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.
If the triangles are congruent, then all corresponding angles and sides are also congruent.
What is the remainder when 3 is
synthetically divided into the polynomial -2x2 + 7x - 9?
A. -6
B. -4
C. 2
D. 0
The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.
What is the remainder when 3 is synthetically divided into the polynomial?It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.
On this note, it follows that the expression evaluation at x = 3 represents the required remainder.
Therefore, we have;
-2 (3)² + 7 (3) - 9
= -18 + 21 - 9
= -27 + 21
= -6
Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.
Therefore, the correct answer choice is; Choice A; -6.
Read more on synthetic division of Polynomials;
https://brainly.com/question/7066192
#SPJ1
Which set of equations has (3, 1)as its solution?
O A and B
O And D
O Band D
O A and D
Answer:
A and D is representing the solution.
Step-by-step explanation:
We can see that the lines (A and D) are both intersecting at 3, 1. Remember, if the lines are intersecting at a point, that point is the solution of the equation. Therefore, Option B is correct.
Hoped this helped.
[tex]GeniusUser[/tex]
Are the equations m+3=-5 and m-4=-12$ equivalent?
Answer:
Yes They Are Equivalent
Step-by-step explanation:
I checked by multiplying them.
Answer: yes, because they both equal x= -8
Step-by-step explanation:
m= -5 -3
calculate
= -8
m= -12+4
calculate
m= - 8
THE WHOLE THING ALL OF IT PLEASE I WILL MAKE U BRAINLIEST!!
Answer:
3x+8=17 2x+8=2(x+4) x+4=x-4
3x=17-8 2x+8=2x+8 No solution
3x/3=9/3 All Real numbers
x= 3
infinitely many solution
Q2) It means this equation has no answer to it and no solution
Q3) x+ 4=x-4 has no solution
Q4) It means that it has many answers to it and many steps to it to get the answer
Q5) By doing the answer for example 3x+9=17 it has many solutions and we can get the answer by
cellus
Suppose that y varies directly with x
and y = 3 when x = 9. What is y
when x = 18?
y = [ ?
]
I really suck at these problems.
Answer:
y = 6 when x = 18
Step-by-step explanation:
The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.
We know y = 3 when x = 9: 3 = k(9)
This yields k = 3/9, or k = 1/3
Then the formula is y = (1/3)x
and when x = 18, y = (1/3)(18) = 6
y = 6 when x = 18
Pls help fast i need this done
-Angle ACB is bigger than angle GDE
-Angle ACB is smaller than angle GDE
-Angle ACB is the same size as angle GDE
-There isn't enough information to decide
A Freight Train Travels 144 miles in 6 hours.How Far will it travel in 15 hours
Please help me out kindda hard
Hello there, there are multiple ways of solving this problem, let me show you.
[tex]{\huge{\boxed{\mathbb{QUESTION}}}}}[/tex]
A Freight Train Travels 144 miles in 6 hours. How Far will it travel in 15 hours?
_________________
For this problem I will show you 2 methods.
[tex]{\huge{\boxed{\mathbb{METHOD\:ONE}}[/tex]
Cross multiplication, cross multiplication involves algebra to use.
Let x be our answer for this problem. Here is our it would look like
[tex]\frac{6}{144}=\frac{15}{x}[/tex], now we will cross multiply, here is what it'd look like now.
[tex]6x=2160[/tex], then do simple algebra and divide both sides by 6. and then we get [tex]x=360[/tex] miles in 15 hours.
_________________
[tex]{\huge{\boxed{\mathbb{METHOD\:TWO}}[/tex]
For method two we can look for the unit rate. Also known as our rate for one.
divide 144 by 6 and we get 24, then multiply it by 15 and we get 360.
_________________
[tex]{\huge{\boxed{\mathbb{EXACT\:ANSWER}}[/tex]
360 miles in 15 hours.
Have a good day :) !help me pleaseeeeeeeeee
Answer:
thats the answer
Step-by-step explanation:
because the filipinos are magaling sa math
The line 2x + 3y = 8 meets the curve 2x^2 + 3y^2 =110 at the points A and B. Find the coordinates of A and B.
extra: This is the first time I’ve seen this type of question without a diagram. Pls help!
Answer:The cordinates of A and B are (-3.8, 5.2) and (7, -2).
Step-by-step explanation:From (1), we get x = (8 - 3y) / 2 ––(3)
Substitute (3) into (2),
2 [(8 - 3y) / 2]² + 3y² = 110
(8 - 3y)² + 3y² = 220
15y² - 48y - 156 = 0
Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8
OR y = -2, then x = [8 - 3×(-2)] / 2 = 7
Answer:
The coordinates are A. (-3.8, 5.2) and B. (7, -2).
Step-by-step explanation:
At A and B the coordinates satisfy both equations so we solve simultaneously using substitution:
2x^2 + 3y^2 = 110
2x + 3y = 8
From the above equation
x = (8 - 3y)/2
So substituting for x in the first equation:
2 [(8-3y)/2]^2 + 3y^2 = 110
(8-3y)^2 / 2 + 3y^2 = 110
Multiply through by 2:
(8 - 3y)^2 + 6y^2 = 220
64 + 9y^2 - 48y + 6y^2 - 220 = 0
15y^2 - 48y - 156 = 0
3(5y^2 - 16y - 52) = 0
(5y - 26)(y + 2) = 0
y = 26/5, 2
y = 5.2, -2.
So substituting in 2x + 3y = 8
When y = -2:
2x - 6 = 8
2x = 14
x = 7.
When y = 5.2
2x + 3(5.2) = 8
2x = 8 - 15.6 = -7.6
x = -3.8.
Find the difference in lowest terms. 15/19 - 7/19
Answer: 8/19
Step-by-step explanation:
15/19 - 7/19 = 8/19
8/19 cannot be simplified further
Annette measured pepper plant sprouts and recorded the following lengths in
inches:
1/3 .0.75, 1/4 .0.5
If Annette ordered the lengths from least to greatest, which one would come
second?
Answer pls❤️❤️❤️
Answer:
Ask with your teacher.not to me
Answer:
1/4 , 1/3 , 0.5 , 0.75
Step-by-step explanation:
1 - Convert all numbers into fractions.
1/3 , 3/4 , 1/4 , 1/2
2 - Find the greatest common factor and apply it to all.
4/12, 9/12, 3/12, 6/12
3 - Order all into least to greatest.
3/12 , 4/12 , 6/12 , 9/12
4 - Convert back to normal forms.
1/4 , 1/3 , 0.5 , 0.75
Brainliest would be appreaciated! :-)
Solve.
x−8.2=−9.09
What is the solution to the equation?
Enter your answer in the box.
x =
[tex]x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89[/tex]
x = -0.89
Step-by-step explanation:
when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.
How I solved it: (just another way to solve this)
9.10-8.20=0.89
since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
I assume the problem is to graph the lines. The easiest is to pick two values of x and calculate y for each line. For example:
21. y = -4x + 5 I'll randomly choose vales of 1 and 2 for x and calculate y:
(1, 1) and (2, -3)
Now mark those two points and draw a straight line through them. It is an equation of a straight line, so we know this will be correct.
22. Same process:
(1,6) and (2,7)
23. (1,0) and (2,-3)
24. (1,-4) and (2,-6)
=====================
These are shown in the attachment. What's also shown is the second method of producing the lines: Use a graphing program such as DESMOS to plot the equations. The points aren't needed - they are there to demonstrate that the first approach also works.