Answer:
[tex]x=2\\x=-\frac{1}{2}[/tex]
Step-by-step explanation:
1) Move terms to the left side.
[tex]3x=2x^{2} -2\\3x-(2x^{2}-2)=0[/tex]
2) Distribute.
[tex]3x-(2x^{2} -2)=0\\3x-2x^{2} +2=0[/tex]
3) Rearrange terms.
[tex]3x-2x^{2} +2=0\\-2x^{2} +3x+2=0[/tex]
4) Common factor.
[tex]-2x^{2} +3x+2=0\\-(2x^{2} -3x-2)=0[/tex]
5) Divide both sides of the equation by the same term.
[tex]-(2x^{2} -3x-2)=0\\2x^{2} -3x-2=0[/tex]
6) Use the quadratic formula.
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
[tex]2x^{2} -3x-2=0\\a=2\\b=-3\\c=-2[/tex]
[tex]x=\frac{-(-3)+\sqrt{(-3)^{2} -4*2(-2)} }{2*2}[/tex]
7) Simplify.
Evaluate the exponent
[tex]x=\frac{3+\sqrt{(-3)^{2}-4*2(-2) } }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
Add the numbers
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{25} }{2*2}[/tex]
Evaluate the square root
[tex]x=\frac{3+\sqrt{25} }{2*2} \\x=\frac{3+5}{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+5}{2*2}[/tex]
[tex]x=\frac{3+5}{4}[/tex]
8) Seperate the equations.
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
[tex]x=\frac{3+5}{4}[/tex]
[tex]x=\frac{3-5}{4}[/tex]
9) Solve.
Rearrange and isolate the variable to find each solution.
[tex]x=2\\x=-\frac{1}{2}[/tex]
write slope - intercept form equation that has initial value of -100 and rate of change of 25
Answer: The slope intercept form equation is y = 25x - 100.
1) If
[tex] \frac{1}{a + 1} + \frac{1}{b + 1} + \frac{1}{c + 1} = 2[/tex]
[tex]then \: {a}^{2} + {b}^{2} + {c}^{2} is[/tex]
Option :-
[tex]a) \frac{3}{4} [/tex]
[tex]b) \frac{1}{3} [/tex]
[tex]c) \frac{27}{16} [/tex]
[tex]d) \frac{4}{3} [/tex]
● NEED GENUINE ANSWER
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The sum of the square of the constants is 3/4
Given the equation [tex]\frac{1}{a+1} +\frac{1}{b+1} +\frac{1}{c+1} =2[/tex]
The partial form of the equation is given as:
[tex]\frac{1}{a +1} = 2\\[/tex]Solve for the constant "a"
[tex]\frac{1}{a +1} = 2\\a+1 = \frac{1}{2} \\a = \frac{1}{2} - 1\\a =-\frac{1}{2}[/tex]
Hence [tex]a=b=c=-\frac{1}{2} \\[/tex]
Taking the square of the constant, we will have:
[tex]a^2 + b^2 + c^2 =(-1/2)^2 +(-1/2)^2+(-1/2)^2\\a^2 + b^2 + c^2 =1/4 + 1/4 + 1/4\\a^2 + b^2 + c^2 =3/4[/tex]
Hence the sum of the square of the constants is 3/4
Learn more on partial fraction here: https://brainly.com/question/24594390
Answer -the sum of the square of the consonants is 3/4
please answer even if there is already 1, last time i asked this i put a lot of points and a bot took them and i dont have time to wait for a second answer. im giving half points this time, 50, and i will give brainliest. dont be a cheapskate fishing for points either, dont answer if ur not gonna try. im sick of people doing that i just need help. its much appreciated if you can.
every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.
c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds
d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.
Answer:
The answer would be A
Step-by-step explanation:
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
Diana is baking bread the original recipe calls for 1 1/2 teaspoons of yeast
Your Question is incomplete..
Diana is baking bread, and the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will Diana use?
Answer:
3 3/4
Step-by-step explanation:
To figure out how many cups of flour Diana will use, you can set up a proportion.
1 1/2 = 3/2
2 1/2 = 5/2
2 1/4 = 9/4
Floor required for 3/2 teaspoons of yeast = 5/2
Floor required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4
= 5/2 * 2/3 * 9/4
= 15/4 = 3 3/4
Answer:
(The question is not complete so I will complete it)
Diana is baking bread, the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will diana use ?
A) 1 7/8
B) 3 1/2
C) 3 1/2
D) 3 3/4
E) 4
Step-by-step explanation:
The correct answer is D
To figure out how many cups of pour diana will use, you can set up a proportion
1 1/2 = 3/2
2 1/2 = 5/2
2 1/4 = 9/4
Flour required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4
= 5/2 * 2/3 * 9/4
= 15/4 = 3 3/4
Answer: D) 3 3/4
Solve for the x
[tex]\frac{36}{x}[/tex] = -9
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]
3. Дано: K, P, K, P, OP, = PP., КК, = 5 см. Знайти: OK.
Answer:
where are you from
can you be my friend
I'm from Australia and you
HELP! I need answers to every question!
Answer:
We can treat i as if it was a variable/symbol, with the caveat that
i * i = -1
[6]
(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i
[7]
-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i
[8]
2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i
[9]
(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i
Answer:
6.) 1 - 19i
7 ) -8 - 10i
8.) -6 + 8i
9.) 57 + 9i
not sure if its the right answer
What is the equation of the line that passes
through the points (3,-1) and (7, 3)?
Answer: y = 1x + -4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1 /x2-x1
m = 3--1 /7-3
m = 4/4
m = 1
Now putting value of m in equation (i)
y = 1x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (3,-1) for calculating y-intercept:
y = mx + b
-1 = 1(3) + b
-1 = 3 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1x + -4
119/30
Simplified please help this is urgent
i need help on this assignment
what is the product of 9,028 x 100,000
Answer:
902,800,000
Step-by-step explanation:add the 5 zeros from 100,000 to 9,028
Jamal sold a total of $9,500 worth of clothing last week at his store.if his commission is 12% of sales,how much commission did he earn?
Answer:
9,500x12%= $1,140
He earned $1,140
Step-by-step explanation:
y - 12 = 89
y - 12 +____
=89 + 12
y=?
Answer:101
Step-by-step explanation:
If you are SMART? What is 100 x 100 without using a calculator?
Answer:
i got you it 10,000
Step-by-step explanation:
all you have to do is add the zeros
Please please help
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first.
What measure is the third angle?
Step-by-step explanation:
So,Let Angle 1 be x, Angle 2 be 2x, Angle 3 be 6x...
Now,
Angle 1 + Angle 2 + Angle 3 = 180°
( Sum of all angles of the triangle)x + 2x +6x = 180°
x + 8x = 180°
9x = 180°
x = 180°/9
x = 20°
Therefore,
Angle 1 = x = 20°Angle 2 = 2x = 2 × x = 2×20° = 40°Angle 3 = 6x = 6 × x = 6×20° = 120°So, 20°,40°,120° are the 3 angles of the triangle..
hope it helps!!!
(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~
write a linear function f with given values.
Answer:
given slope of 2 and a y intercept of 0
f(x) = 2x
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1
Answer:
7:1
Step-by-step explanation:
what does i^739 equal? explain how you found your answer.
========================================================
Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
i^0 = 1i^1 = ii^2 = -1i^3 = i*i^2 = i*(-1) = -ii^4 = (i^2)^2 = (-1)^2 = 1By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
-------------
Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
-i is the final answer--------------
Side notes:
if i^a = i^b, then a-b is a multiple of 4Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.Which ordered pair is a solution to the line whose equation is 2y=-3x-2
A.(2, -3) C. (2, -4)
B. (-3, 2) D. (-4, 2)
Answer:
The solution would be C. (2, -4)
Step-by-step explanation: Equation: 2y = -3x - 2
1. (2, -3)
2(-3) = -3(2) - 2
-6 = -6 - 2
-6 = -8 (Not a solution)
2. (-3, 2)
2(2) = -3(-3) - 2
4 = 9 - 2
4 = 7 (Not a solution)
3. (2, -4)
2(-4) = -3(2) - 2
-8 = -6 - 2
-8 = -8 (Solution)
4. (-4, 2)
2(2) = -4(-4) - 2
4 = 12 - 2
4 = 10 (Not a solution)
Y= 3x — 5 what is the slope and y-intercept
how many solutions does the following system of equations have: 3x−2y=−7 4y=9−6x
this equation is error because of -7and 4y two this is not have + or - that's why
Enter your answer in the box.
What is the value of x?
Based on the shape and the angles already given in the diagram, the value of x must be 80°
The interior angles of a triangle must always add up to 180°
This means that the value of x is:
180 = 70 + 30 + x
180 = 100 + x
x = 180 - 100
x = 80°
In conclusion, x is 80°.
Find out more about the interior angles of a triangle at https://brainly.com/question/7888180.
Bob's Gift Shop sold 350 cards for Mother's Day. One salesman, Bentley, sold 2% of the cards sold for Mother's Day. How many cards did Bentley sell?
2% of 350 is 7, so Bentley sold 7 cards on Mother's Day
Given f(x) = 2x2 – 9x+2, g(x) = 1 – 6x, and
h(x) = x² – 4, find the following function:
=
(hof)(x)
Answer:
2×2=4
9x+2=11x
1-6x=4x
x²-4=16
=16¹⁵x
HELP ! Will give brainliest
Answer:
look it up thats what i do
Step-by-step explanation:
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
Answer:
y= -10x-24
Step-by-step explanation:
To write the linear equation, first find the slope.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let's pick the first two x and y values as our coordinate points.
(1, -34) (2, -44)
[tex]\frac{-44-(-34)}{2-1} =-10[/tex]
The slope is -10.
Use the point-slope formula to write the equation.
y-y1= m(x-x1)
y-(-34)= -10(x-1)
y+34= -10x+10
y= -10x-24
HELP what is the slope
Answer:
D
Step-by-step explanation:
The line starts at 10 so I think it's that
Answer:
Slope of a line
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Step-by-step explanation:
Khan Academy
Slope review | Algebra (article) | Khan Academy
A middle school principal is signing the diplomas of the school's graduating eighth graders.
She previously signed 37 diplomas. Now, she is signing more diplomas at a rate of 0.5 per
second. If the principal signs diplomas for 60 seconds, what will the total number of signed
diplomas be?
Answer: 67 diplomas
Step-by-step explanation:
0.5 diplomas per second = 1 diploma per 2 seconds
60/2 = 30
30+37 = 67
Correct me if I am incorrect
An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.
What is an equation?
An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.
What did the wall say to the bookcase 4. 2 puzzle time answers.
Answer:
meet you at the corner
Step-by-step explanation:
No links or files. I will have to report answers that contain files. Please provide a short explanation if you can.
Answer:
BCA is half of that of BCD. BCD is ~90 degrees, and BCA is ~45 degrees.
(~ meaning about)
Hope that helps
