The solutions or roots of the equation 2x² + 3x - 2 = 0 will be 1 and -2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic equation is given below.
2x² + 3x - 2 = 0
Factorize the equation, then we have
2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x(x + 2) - 1(x + 2) = 0
(x - 1)(x + 2)
x = 1, -2
The solutions or roots of the equation 2x² + 3x - 2 = 0 will be 1 and -2.
More about the solution of the equation link is given below.
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The roots of the quadratic equation 2x² + 3x - 2 = 0 are - 2, 1/2.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation 2x² + 3x - 2 = 0.
Now, Two numbers that multiply to - 4 and add to 3 is 4, - 1.
Therefore,
2x² + 3x - 2 = 0.
2x² + 4x - x - 2 = 0.
2x(x + 2) - 1(x + 2) = 0.
(x + 2)(2x - 1) = 0.
x + 2 = 0 Or 2x - 1 = 0.
x = - 2 Or x = 1/2.
learn more about quadratic equations here :
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One side of an equilateral triangle is
9x + 13 units long. Another side is 17x - 15
units long. Since all sides are congruent,
what is the value of x?
Answer:
3.5
Step-by-step explanation:
Round to the nearest hundreds
Please help
I will give brainliest
Answer:
36+50.27=86.27
86.27cm^2
Step-by-step explanation:
3.14x4^2= 50.27
9x8=72/2=36
add them up and boom there goes your gf ... jk jk jk
then u get the answer ofc ;)
How do I find X and Y
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(3,5)
Equation Form:
x=3,y=5
Step-by-step explanation:
The perimeter is
25cm
32cm
29cm
if f(x) =4x-2 and g(x) =2x+8, what is h (x) when h (x) =f (x) +g(x)
Answer:
h(x)=4x_2+2x+8
h(x)=6x+6
Answer:
h(x) = 6x + 6Steps:
given:
f(x) = 4x-2
g(x) = 2x+8
h(x) = f(x) + g(x)
h(x) = 4x-2 + 2x+8
h(x) = 4x + 2x + 8 - 2
h(x) = 6x + 6
A person swims 11 miles downstream in the same time they can swim 7 miles up stream. The speed of the current is 4 miles per hour.
These situations can be represented by the equations
Downstream: t=11/s+4 Upstream:t=7/s-4,
where t stands for time and s is the speed of the swimmer. What is the speed of the swimmer swimming in still water?
Answer:
s = 18 mph
Step-by-step explanation:
At downstream, time is; t = 11/(s+ 4)
At upstream, time is; t = 7/(s - 4)
Since they both are passed in the same time, then ;
11/(s+ 4) = 7/(s - 4)
Cross Multiply to get;
11(s - 4) = 7(s + 4)
11s - 44 = 7s + 28
11s - 7s = 44 + 28
4s = 72
s = 72/4
s = 18
At Johnson middle school 80% of the sixth graders dressed up for neon day. There are a total of 90 students in the sixth grade. How many sixth graders dressed up for neon day
Do ALL These Questions CORRECT And You Get Brainliest And 35 Points! Also ill Follow You!
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GIVING BRAINLIEST!!!!!!
32+4X(16 x 1/2)-2
show your work
Answer:
32x + 30
Step-by-step explanation:
32+4X(16 x 1/2)-2
32 + 4X x 8 -2 ( 16 times 1/2 = 8)
32 + 32x -2 ( 4 times 8 = 32)
32x + 30 ( 32 + -2 = 30)
20+(5 * 2/5)+3
20 + 2 + 3
22 + 3
25
there were 7 roses in the vase. Jessica cut some more roses from her flower garden. there are now 15 roses in the vase. how many roses did she cut?
Answer:
Jessica cut 8 roses.
Step-by-step explanation:
15-7=8
You have to subtract the amount she cut from the flower garden (15) to the amount which the vase had (7), in which you will get an answer of 8.
According to market research, a business has a 75% chance of making money in the first 3 years.
According to lab testing, of a certain kind of experimental light bulb will work after 3 years.
According to experts, the likelihood of a car needing major repairs in the first 3 years is 0.7.
Write the scenarios in order of likelihood from least to greatest after three years: the business makes money, the light bulb still works, and the car needs major repairs.
1 car 2 businse 3 lightball
Name another chance experiment that has the same likelihood as one of the scenarios.
plese answer right this is my 3rd time and all i got was like ghty0................................... for answers
Answer:
There is a 75% chance of sunny skies tomorrow.
Step-by-step explanation:
75% chance is the same likelihood as the business scenario. Hope this helps!
Consider the function f(x)=15x^2+60x-19
Name the vertex for the function
The vertex for this function would be (-2,-79)
Identify a transformation of the function f(x) = (x) by observing the equation of the function g(x) = (x)+56.
A: a vertical shift 56 units upwards
B: a horizontal shift 56 units to the left
C: a horizontal shift 56 units to the right
D: a vertical shift 56 units downward
Answer:
A: a vertical shift 56 units upward I believe
I don’t understand algebra. Help me
Ann's car can go 204 miles on 6 gallons of gas. During a drive last weekend, Ann used 7 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Given :
Writing lan's car can go 204 miles on 6 gallons of gas.
During a drive last weekend, lan used
7 gallons of gas.
To find :-
How far did he drive?
Solution :-
According to Question ,
Car can go 204 mi on 6 gallons of gas.
Using Unitary Method ,
On 1 gallon of gas it will go 204/6 mi
On 7 , it will go 204/6*7 =238 miles
Hence the required answer is 238 miles.
help pleaseeee, I don't understand
Answer:
B.
Step-by-step explanation:
2x+4-1
use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object 6:1
Answer: Its B. Side a is 2 inches long and side b is 1.5 inches long.
Step-by-step explanation:
i need this done pls :)
Answer:
300....?
Step-by-step explanation:
Mhanifa please help i will mark brainliest :)
Answer:
AD=11.7 since corresponding side of parallelogram are equal.
BD=8.5 since corresponding side of parallelogram are equal.
Answer:
#1
Opposite sides are congruentAD = BC = 11.7 units#2
Diagonals bisect each otherBD = BE + DE = 2*DE = 2*7.2 = 14.4 unitsFind the perimeter of the figure. (Will mark brainliest of correct!)
Answer:
24 inches.
Step-by-step explanation:
Add em' all up cuz.
Answer:
It should be 30 I think
Step-by-step explanation:
I first found the perimeter of the rectangle and then the triangle and added them both together
If you spun the spinner 100 times, how many times do you predict that you would spin a number less than 5 on a spinner of 1-6
Answer:
67 times
Step-by-step explanation:
Spinner's sample space = (1, 2, 3, 4, 5, 6)
Number less than 5 = (1, 2, 3, 4)
Total possible outcomes = 6
Required outcome = 4
P(number less than 5) = required outcome / Total possible outcomes
P(number less than 5) = 4 /6 = 2/3
Number of spins = 100
Predicted Number of times a number less than less than 5 is spurn in 100 spins :
100 * 2/3
= 66.666
= 67 times
WILL MARK BRAINLIEST! NO JOKE-Y ANSWERS! THIS IS WORTH 100 POINTS!
A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.
Answer:
if these lines intersect the slopes must be different
Step-by-step explanation:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.
Answer:
Linear functions (or lines) have really only 2 attributes : The slope (indicating the inclination of the line), and the y-intercept (the intersection with the y-axis) or the x-intercept. Either way, they show the actual position of the line. The lines intersect at one point if they have different slopes. They intersect at infinitely many points, if the slope and the y or x-intercepts are equal (ultimately that means the lines are identical, so every point is an intersection point). If they have the same slope but different y or x-intercepts, it means they are parallel and will never intersect.
solve for x. round your answer to the nearest tenth
Trigonometry
Answer:
[tex]\displaystyle x \approx 11.1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 42°
Adjacent Leg = x
Hypotenuse = 15
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos42^\circ = \frac{x}{15}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 15cos42^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 15cos42^\circ[/tex]Evaluate: [tex]\displaystyle x = 11.1472[/tex]Round: [tex]\displaystyle x \approx 11.1[/tex]Write -76.62 as a mixed number
ANSWER ASAP!!!!!!!!!!!!!!!!!!!!! Reflect (4, -4) over the x-axis. Then translate the result to the right 3 units. What are the coordinates of the final point? NO FILES PLEASE
Answer:
(7,4)
Step-by-step explanation:
The rule for reflecting over the x-axis is (x,y) -> (x,-y)
If you apply that to your point, you get (4,4)
When doing this translation, you add the 3 to the number you have in the x. This will give you (7,4).
Hope I helped.
the ravens scored 1 touchdown and an extra point . how many total points did they score
Help worth 10 points I need the whole area of the shape
Answer:
1,736km^2
Step-by-step explanation:
Answer:
2,352 km^2
Step-by-step explanation:
So there is a square and 4 triangles.
You first, find the area of the square.
You then get: 35 x 48 = 1,680
Then you need to add the triangles.
Because we have 2 triangles on each side the area formula of a triangle in which is 1/2 times by the base and height can be solved by just B * H.
Doing that you can get: 48 * 7 = 336
Because you have 2 triangles, the final area results in:
1,680 + 336 * 2 = 2,352
help please I need it in polynomial forms
I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.
Answer: 3/5 or 0.6
Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot. If you divide 3 by 5 you get 0.6.
Two bikers are riding a circular path.
The first rider completes a round in 12
minutes. The second rider completes
a round in 18 minutes. If they both
started at the same place and time
and go in the same direction, after
how many minutes will they meet
again at the starting point?
Please show working
Two bikers are riding a circular path.
The first rider completes a round in 12
minutes. The second rider completes
a round in 18 minutes. If they both
started at the same place and time
and go in the same direction, after
how many minutes will they meet
again at the starting point?
[tex] \huge \mathfrak \orange{Solution}[/tex][tex] \huge \mathsf \blue{Given}[/tex]
First rider takes 12 minutes to complete a round.Second rider takes 18 minutes to complete a round.[tex] \huge \mathsf \blue{To\: Find}[/tex]
After how many minutes will they meet
again at the starting point?
Take the LCM of 12 and 18
12 = 2 × 2 × 3
18 = 2 × 3 × 3
Thus, the LCM of 12 and 18 is 36.
So they will meet after 36 minutes again at the starting point.Answer:
Find the LCM of 12 & 18 .
12 = 2×2×3
18 = 3×3 ×2
So , LCM of ( 12 , 18 ) = 2×3×2 = 36
Your Ans is 36 Therefore he meet after 36 minutes at starting point..!!Hopefully u will satisfy with my answer of ur question..!!Have a nice day ahead dear..!!