Answer:
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
Step-by-step explanation:
One is asked to find the root of the following equation:
[tex]2x^2+1=5x[/tex]
Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:
[tex]ax^2+bx+c=0[/tex]
Change the given equation using inverse operations,
[tex]2x^2+1=5x[/tex]
[tex]2x^2-5x+1=0[/tex]
The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
[tex]\frac{5(+-)\sqrt{25-8}}{4}[/tex]
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
Rewrite,
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
Find f(-3) if f(x) = -2x^2 + x + 3 and g(x) = -2x + 1
HELP please explain how to do it
Since you're trying to find f(-3), your function that you have to plug -3 into will be f(x).
f(-3) = -2(-3)^2+(-3)+3
f(-3) = -2(9)+(-3)+3
f(-3) = -18-3+3
f(-3) = -18 is your final answer
Sameer had $600 in his savings account. He wants to have at least $100 in the account
by the end of the year. He withdraws $20 a week for expenses. How many weeks can
Sameer withdraw money? Important! When you multiply or divide by a negative
number, the inequality sign reverses.>+<
amounts in savings - amount per week x number of weeks 2 amount of money at the
end of the year
30 weeks
25 weeks
O
5 weeks
20 weeks
Answer:
The answer is 25 weeks
Step-by-step explanation:
Let, Number of weeks = x
Now, the required expression is
∴[tex]600-20x\geq 100\\=>-20x\geq -500\\=>20x\leq 500\\x\leq 25[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
What is answer to 3+2•5•8
is a=3 b=4 c=2 and d=-2 find the value of 3b²c-2ad
And ac-bd/7
Step-by-step explanation:
remember : calculations are usually done from left to right, but multiplications and divisions come before + and -.
and exponents come before multiplications and divisions.
and minus a negative number always turns into plus a positive number.
so,
3b²c - 2ad = 3×4²×2 - 2×3×-2 = 96 - -12 = 96 + 12 = 108
and
ac - bd/7 = 3×2 - 4×-2/7 = 6 - -8/7 = 6 + 8/7 = 7 1/7 ≈ 7.143
the marked price of a watch is rs 2700.If allowing 2V% discount on the marked price and adding V% vat, the value of the watch will be rs 2376.Find the rate of vat.
Trapezoid p is the image of trapezoid P after a translation. Y 7+ . р на дъл от - 1 -7-6-5-4-3-2-1 -2+ 11 2 3 4 5 6 7 1 PY 1 - - -51 -67 Which statement correctly describes the translation of trapezoid P to create the image Pl? A. 3 units to the right and 5 units down B. 4 units to the right and 1 units down O C. 8 units to the right and 5 units down D. 9 units to the right and 6 units down
Answer:
C. 8 units right and 5 units down
Step-by-step explanation:
since it's only a translation, take one point as an example. lets say the bottom right point on trapezoid P is point A, and the translated point on P' is A'. the coordinates of A are (-3,2) while the coordinates of A' are (5,-3). (-3+x,2+y)=(5,-3). -3+x=5, x=8; 2+y=-3, y=-5
Solve 4(x + 1) = 4x + 4
Answer:
x is all real numbers
Step-by-step explanation:
4(x + 1) = 4x + 4
Distribute
4x+4 = 4x+4
Subtract 4x from each side
4x+4-4x = 4x+4-4x
4=4
This is always true so there are infinite solutions
x is all real numbers
what is (2x+30)° and (3x+20)°
Answer:
solution:
here,
or, (2x+30)°=(3x+20)°
or,2x+30°=3x+20°
or, 2x+3x=30°+20°
or, 5x=50°
or, x=50°÷5
so that: x=10° ans
If P={2,3,4} and Q={1,5} find and represent it in set builder form
Step-by-step explanation:
Solution,
P={2,3,4}
P={x:x ∈ N between 1 and 5}
Q={1,5}
Q={x:x ∈ factors of 5}
I hope you were asking for the same answer .
I hope it helped U
stay safe stay happy
2. Find the domain of the function (f/g)(x) where f (x)= x^2 – 9 and g(x)= x^2 - 4x+3
A (-infinity, infinity)
B (-infinity, 1) (1, infinity)
C (infinity, 1) (1,3) (3, infinity)
D (-infinty, -3) (-3,-1)(-1, infinity)
Answer:
I think you mean C.
Step-by-step explanation:
f(x) / g(x) = (x + 3)(x - 3)
==========
(x - 3)(x - 1)
f(x)/g(x) = (x+3) / (x - 1)
- ∞ < 1 U 1 < 3 U 3 < ∞
I NEED HELP ITS DUE TODAY I WILL GIVE BRAINliST PLZz
Answer:
49
Step-by-step explanation:
Find the values of a and b that complete the mapping diagram
Answer:
A=0
B=1
Step-by-step explanation:
Just did it (:
Answer: A = 0, and B = 1.
Step-by-step explanation: I put 0, and 1, and it was the perfect answer.
(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fast
Answer:
m = 2Step-by-step explanation:
[tex] \frac{(5m - 4)}{6} - 1 = 4m - \frac{(3m + 10)}{2} [/tex]
[tex] = > \frac{5m - 4 - 6}{6} = \frac{8m - 3m - 10}{2} [/tex]
[tex] = > \frac{5m - 10}{6} = \frac{5m - 10}{2} [/tex]
[Cross Multiplication]
=> 2(5m - 10) = 6(5m - 10)
=> 10m - 20 = 30m - 60
=> 60 - 20 = 30m - 10m
=> 40 = 20m
[tex] = > m = \frac{40}{20} [/tex]
=> m = 2 (Ans)
An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (d=16t^2)
wrong= reported.
ty<3
Answer:
after 3 seconds, the object hits the ground.
Hope this helps :)
You have $200 in a savings account and $100 in a checking
account. Each week, you add $50 to your savings account and $30 to your
checking account.
a. Write algebraic expressions that represent the amount of money in each
bank account after w weeks.
b. Write an expression in simplest form that represents the total amount of
money in both accounts after w weeks.
c. How much money do you have in both accounts after 5 weeks?
Answer:
a. Savings account: 200 + 50w Checking account: 100 + 30w
b. 300 + 80w
c. 700
Step-by-step explanation:
b. 200 + 50w + 30w + 100 Combine like terms. 300 + 80w
c. 300 + 80w. w=5. 300 + (80*5) = 300 + 400 = 700
Find the value of x. Round to the
nearest tenth.
35
Х
12
x = [ ? ]
Answer:
Step-by-step explanation:
[tex]Tan 35 = \dfrac{opposite \ side}{adjacent \ side}\\\\0.7=\dfrac{12}{x}\\\\0.7*x=12\\\\x=\dfrac{12}{0.7}\\\\x=17.1[/tex]
If m ZABD = 83º, what are mZABC and m ZDBC?
3x+33° D
(Ex-6)°
B
mZABC = °
Answer:
∠ ABC = 48°
Step-by-step explanation:
∠ ABC + ∠ DBC = ∠ ABD , that is
6x - 6 + 3x + 8 = 83
9x + 2 = 83 ( subtract 2 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ABC = 6x - 6 = 6(9) - 6 = 54 - 6 = 48°
what is the LCM of 4489
Answer:
plz mark me brainliest
Step-by-step explanation:
thanks for question
Can someone help me with problem 6 and 7? Please explain I am confused
select the correct answer
which of these graphs represents a function?
What is the percentage change from 305 to 395
Answer:
29.51%
Step-by-step explanation:
The change from 305 to 395 is the difference between the two numbers. So, it would be 395 - 305 or 90. Now, to find the percentage of change, we need to find what part of the original amount is the change. In other words, we would have to divide 90 by 305. By putting this in a calculator you get about 0.2951. To convert this decimal into a percent, we would multiply by 100 giving us 29.51%.
bài 5: rút gọn
(x +1)^2 – (2x + 1)^2
[tex](x+1)^2-(2x+1)^2=\\\\=(x^2+2\cdot x\cdot1+1^2)-((2x)^2+2\cdot2x\cdot1+1^2)=\\\\=(x^2+2x+1)-(4x^2+4x+1)=\\\\=x^2+2x+1-4x^2-4x-1=\\\\=x^2-4x^2+2x-4x+1-1=\boxed{-3x^2-2x}[/tex]
Show work please
[tex]4 \sqrt{9} [/tex]
Answer:
12
Step-by-step explanation:
[tex]4 \sqrt{9} [/tex]
[tex] \sqrt{9} = \sqrt{ {3}^{2} } = 3[/tex]
[tex]4 \times 3[/tex]
[tex] = 12[/tex]
is 3/8 bigger or smaller than 3/5
3/8 is smaller than 3/5.
3/8 is smaller than 3/5
Find the LCD of both fractions:
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, …
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, …
40 is the LCD of denominators 5 and 8.
Multiply both denominators by a number that makes it 40, multiply that same number by each numerator:
3/8:
3 x 5 = 15
8 x 5 = 40
15/40
3/5:
3 x 8 = 24
5 x 8 = 40
24/40
15/40 < 24/40
Hope this helps
Amela put 15x- 4 gallons of gas in her car at the beginning of the week. She used 7x-3 gallons driving to work. Which of the following choices represents the
number of gallons left in her car?
A) 22x+7
B) 22x-7
C) 8x+1
D) 8x-1
Answer:
D) 8x - 1
Step-by-step explanation:
Let's say that x = 5. That would mean Amelia put 15(5) - 4 gallons of gas in her car, which equals 71 gallons. She used 7(5) - 3 gallons driving to work, which is 32 gallons used. 71 - 32 = 39 gallons left.
What else equals 39, you might ask?
8(5) - 1
40 - 1
39.
Answer:
D is the answer
Step-by-step explanation:
if f(x)=x-4 find the value if f(x)+f(-x)
Answer:
2x
Step-by-step explanation:
f(x) = x -4
Step 1:
y = x - 4
Step 2: Replace y with x
x = y - 4
Step 3: Find y
x + 4 = y
f(-x) = x + 4
f(x) + f(-x) = (x - 4)+ (x + 4) = 2x
-2u+(-1)=-13
---------------
Answer:
Solution given
-2u+(-1)=-13
open bracket
-2u-1=-13
add 1 on both side
-2u-1+1=-13+1
-2u=-12
divide both side by -2
-2u/-2=-12/-2
u=6
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{-2u + (-1) = -13}\\\textsf{-2u - 1 = -13}\\\large\text{ADD 1 to BOTH SIDES}\\\textsf{-2u - 1 + 1 = -13 + 1}\\\large\text{CANCEL out: -1 + 1}\\\large\text{KEEP: -13 + 1}\\\rightarrow\textsf{-2u = -12}\\\large\text{DIVIDE -2 to BOTH SIDES}\\\mathsf{\dfrac{-2u}{-2}= \dfrac{-12}{-2}}\\\textsf{CANCEL out: }\mathsf{\dfrac{-2}{-2}}\\\textsf{KEEP: }\mathsf{\dfrac{-12}{-2}}\\\mathsf{u = \dfrac{-12}{-2}}\\\mathsf{u = \bf 6}\\\huge\boxed{\mathsf{Answer: u = 6}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
Im bad at money :/ do please help me
The third answer
1 quarter, 6 dimes, 1 nickel, 7 pennies
Are a total of 127 Cars And trucks on a lot. If there. For more than twice the number of trucks, then cars, how many cars and trucks are on the lot?
Answer:
41 cars and 86 trucks
Step-by-step explanation:
C+T=127
2C+4=T
C+(2C+4)=127
3C+4=127
3C=123
C=41When C=41,
41+T=127
T=127-41
T=86
can someone help I need help lol
