The equation 2x² + 3x - 2 = 0 has the solutions or roots 1 and -2. The quadratic equation is 2x² + 3x - 2 = 0
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.
given
Below is the quadratic equation.
2x² + 3x - 2 = 0
When you factor the equation, you get
2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x(x + 2) - 1(x + 2) = 0
(x - 1)(x + 2)
x = 1, -2
The equation 2x2 + 3x - 2 = 0 has the solutions or roots 1 and -2
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What number would you add to both sides of x2 + 7x = 9 to complete the square?!...
Answer:
2x
Step-by-step explanation:
x2+7x=9
x+x+2+7=9
2x+9=9
=2
Which farmers had more cows than pigs? Mimi, Yosef, Jacob, Emiel, Jaylan, Harold Connie, Josie, Jackson, Jose' Emiel, Jackson, Jacob, Harold, Yosef Connie, Josie, Patrick, Mimi, Emma
Answer:
Connie, Josie, Patrick, Mimi, Emma
I took the test, I hope this helps! Its okay, but I tried the answer above, and it wasn't correct
Step-by-step explanation:
Nguyen is baking cookies. The radius of each cookie is 19 centimeters. What is the area of each cookie?
Use 3.14 for pi and round your answer to the nearest tenth.
Answer:
1133.54
Step-by-step explanation:
A=πr2
plug in 19 into r
square 19 and multiply by 3.14
Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is $15\frac{1}{2}$ years old, and Megan is $7\frac{7}{12}$. What is the difference in their ages? Express your answer as a simplified mixed number.
The difference in ages of Marcelle and Megan is 95/12 as an improper fraction and as a mixed number is 7 whole number and the fraction 11/12.
How to evaluate the difference in the fraction of the agesWe shall convert the fractions to have similar denominators and simply apply subtraction for the numerators as follows:
Marcelle's age = 15 whole number, 1/2
Marcelle's age = 31/2
Megan's age = 7 whole number, 7/12
Megan's age = 91/12
LCM of 2 and 12 is 12 so;
Marcelle's age = 31/2 × 12/12
Marcelle's age = 186/12
difference in their age (186 - 91)/12
difference in their age = 95/12
Therefore, the difference in the ages of Marcelle and Megan is the fraction 95/12 or as a mixed number is 7 whole number and the fraction 11/12
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Joaquin used two types of flour in a muffi n recipe. How much flour did he use in all? Solve any way you choose.
Answer:
Total flour used = 3 1/6 c
Step-by-step explanation:
Whole wheat flour = 1 1/2 c
Buckwheat flour = 1 2/3 c
How much flour did he use in all?
Total flour used = Whole wheat flour + buckwheat flour
= 1 1/2 c + 1 2/3 c
= 3/2 c + 5/3 c
= (9c + 10c) / 6
= 19c/6
= 3 1/6 c
Total flour used = 3 1/6 c
Select the correct answer.
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to
test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has NO
oil and the test shows that there is no oil?
OA. 0.09
OB. 0.11
OC. 0.44
OD. 0.36
Answer:
the answer is A. 0.09
Step-by-step explanation:
internet :)
Answer:
C. 044Step-by-step explanation:
Probability of oil:
P(oil) = 45%Probability of no oil:
P(no oil) = 100% - 45% = 55% = 0.55Probability of testing for no oil:
P(test no oil) = 0.55*0.8 = 0.44Correct choice is C
A recent report indicated that 90 percent of adults in a certain region actively try to include vegetables in their diet. A simulation was conducted that consisted of so trials with a population parameter of 0.9. Each trial consisted of a sample size of 10. The number of successes out of 10 was recorded, where success represented an adult trying to include vegetables in the diet. Five possible simulation results are shown. Which simulation is the best match to the one described? + 0 1 + 3 N + 4 5 6 7 8 9 10 • : 6 0 1 + 2 w+ 4 5 6. + 8 9 7 10 0 10 20 30 40 50 60 70 80 90 100 D 0 10 20 30 40 50 60 70 80 90 100 0 1 2 + +0 다. 4 D+ + ••• 00+ 6 10
The dot plot in option E is correct.
What is sample size?
Choosing the number of observations or replicates to include in a statistical sample is the process of determining sample size. Any empirical study whose objective is to draw conclusions about a population from a sample must take the sample size into consideration.
Finding your sample size in five steps
Clarify the term "population size" or "people"
Specify your error margin.
Decide how confident you are.
Calculate the expected variance.
Decide on the sample size.
As long as it doesn't go over 1,000, 10% of the population serves as a good maximum sample size.
The dot plot in option E is correct.
Because we conduct 50 trials, dot plot should have 50 points, one point per each trial.
On X axis, we take no. of successes out of 10.
Hence it having 0 to 10 numbering.
Hence, the dot plot in option E is correct.
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What is a 2 step problem?
A 2-step problem is a mathematical problem that can be solved using two steps or operations. These types of problems are typically simple and can be solved using basic arithmetic or algebraic concepts.
For example, a 2-step problem could involve solving for one variable in one equation and then substituting that value into another equation to find the value of a second variable.
For example:
2x+3y=10 and 3x-2y=5
Here, first step would be to solve for x in the first equation by isolating x and in the second step we can substitute that value of x in the second equation to solve for y.
It can also refer to a problem that can be solved in two steps by breaking the problem down into simpler parts. For example, a 2-step problem in geometry could involve finding the area of a shape by first finding the area of one part of the shape and then adding that to the area of another part of the shape.
In general, 2-step problems are not complex and can be solved easily by breaking down the problem into simpler parts and solving each part separately.
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.... someone pls help me !!! pleaseee
Answer:
m=4 is the correct answer
HELP PLEASE PLEASE PLEASEEEEEEEEE!!!!!
Answer:
x = 70 degrees
Step-by-step explanation:
Answer:
x = 70°
Step-by-step explanation:
Because it is an isosceles triangle, the two base angles are the same (55° and 55°)
All triangles angles must add up to 180°, so 180-55-55 will give us the missing angle (x).
180-55-55 = 70
x = 70°
PLEASE HELP MEEEE ITS DUE TODAY
Answer: 10
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
hence we're trying to find leg b.
b=√c2﹣a2=√262﹣242=10
and there, b=10.
Four siblings have a total of 3/4 pound of candy leftover from Halloween. If they split
it equally, how much will each child have?
Answer:
Each child will have 3/16 pound of Halloween candy.
Step-by-step explanation:
To find out how much candy each sibling gets, we need to divide 3/4 by 4
3/4 divided by 1/4 = 3/16
Therefore, our answer is 3/16.
#11 Please answer the question
Answer:
134
Step-by-step explanation:
What is the rage of the function graphed below?
Please look at the picture! Thanks besties✊
Answer:
I am not sure but I think it is D
Step-by-step explanation:
I am nottt smarrttt so sowyyy
IM MARKING BRAINLYIST!!!!
Jim rented a truck for one day. There was a base fee of S 15.95, and there was an additional charge of 87 cents for each mile driven. Jim had to pay $189.08 when he returned the truck. For how many miles did he drive the truck?
Answer: I assume you are trying to find the
number of miles driven.
He paid $18 of which $15.95 was
the flat fee.
18.00
- 15.95
---------
$2.05 is the amount paid for mileage.
This is 205 cents for mileage
at 71 cents per mile. Divide
205 by 71 to get the miles driven.
205/71 = 2.9 miles.
Step-by-step explanation:
HELLLPPP PLZ!!!!! URGENT!
1. How many 2-digit numbers are multiples of both 5 and 7?
2. How many 2-digit numbers are multiples of either 5 or 7?
thanks!!!!!
Answer and Step-by-step explanation:
1.
First, we need to find what numbers 5 and 7 both go into, and are 2-digits.
5 and 7 go into the numbers 35 and 70.
So, that means the amount of numbers 5 and 7 go into and are 2-digits is Two Numbers.
2.
Now, we have to find the amount of numbers 5 goes into and the amount of numbers 7 goes into, and they need to be 2-digits.
5 goes into the numbers 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, and 95. -- 18 numbers
7 goes into the numbers 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98. -- 13 numbers.
n(A) = 18 n(B) = 13
Now, the set of 2-digit numbers that are multiples of both 5 and 7 is given by
A∩B = {35, 70} ⇒ n(A∩B) = 2
Therefore, the number of 2-digit numbers that are multiples of either 5 or 7 is given by
n(A∪B) = n(A) + n(B) - n(A∪B) = 18 + 13 - 2 = 29
Now, there are 90 2 -digit numbers.
Thus, the number 2-digit numbers are multiples of neither 5 nor 7 is
90 - 29 = 61.
Hence, the total number of numbers is 61.
#teamtrees #PAW (Plant And Water)
What is the inequality for this using the numberline
2x + 4 > 24
Answer:
2x+4>24
2x>20
x>10
Hope this helps
Have a good day :)
Step-by-step explanation:
How do you know if there are 2 real solutions?
For Quadratic equation, It is possible to know if there are 2 real solutions by examining the discriminant that is [tex]b^2-4ac[/tex] of the equation [tex]ax^2+bx+c[/tex].
What do you mean by a solution?In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
discriminant : [tex]b^2-4ac[/tex]
if [tex]b^2-4ac[/tex] is positive, Both solutions are real.
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combine like terms:
Like terms for the given data are: 17x² and 3x²; -3xy and -2xy. Combining the like terms we get: 20x² and -5xy
What is like terms?In algebra, the term "equal terms" refers to words with the same variable to the same power.
Similar variables and powers are called similar words in algebra. Matching coefficients is not required. When two or more words do not share the same variable or power, they are called inequal terms. The order of both variables is irrelevant unless there is a power. All of these have the same terminology.
17x² and 3x²
-3xy and -2xy
Combine the same terms obtained.
17x² + 3x² = 20x²
-3xy + (-2xy)
= -3xy -2xy
= -5xy
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Kenneth can score 3,500 points per minute playing a video game. He has already scored 14,500 points. Write an equation that can be used to find the number of points, p, Kenneth has scored after time, t, in minutes. Then use your equation to find the number of minutes it will take Kenneth to score 46,000 points. Can someone please help me!
Answer:
3,500 (t) = 14,500 and it would take him about 13 minutes to get 46,000 points
Step-by-step explanation:
Brainliest pls
Explain how finding the area of a
rectangle with whole-number side lengths compares to finding the are
of a rectangle with fractional side lengths.
The area of rectangle with side whole number = ab sq. units,
and area of rectangle with fraction side = ac/bd sq. units.
What is rectangle?A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with four equally long sides.
Given to find the area of rectangle,
Area of rectangle is given by product of length and width.
A = l x b
Let the dimensions of a rectangle are all whole numbers, a by b
Area = a x b
A = ab sq. units
another rectangle with dimensions all fractions say, a/b by c/d .
Area = a/b x c/d
A = ac/bd sq. units
In all situations, the area of the rectangle must be calculated by multiplying its length and breadth.
Hence the area of rectangle is product of length to width in both cases.
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Are isosceles triangles always 180?
No, isosceles triangles are not always 180 degrees. The sum of the interior angles of an isosceles triangle is 180 degrees, but the individual angles can be different.
Isosceles triangles do not necessarily have a 180-degree angle. Any triangle with two equal sides is said to be isosceles. Any triangle's internal angles add up to 180 degrees. An isosceles triangle's individual angles can change depending on how long its sides are, though. An isosceles triangle, for instance, might have a third side that is longer or shorter than the other two sides if the first two sides are equal. The size of the inner angles will be impacted by this. As a result, an isosceles triangle need not have angles that are 180 degrees. An isosceles triangle has interior angles that add up to 180 degrees, but the individual angles might vary.
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The entrance fee for the carnival is $7and the cost for a ticket for a
ride is $.25.
a. Write an equation for the total cost (C) if you go to the carnival
and ride r number of rides.
b. What is the total cost if you ride 15 rides?
Answer:
Step-by-step explanation:
Consider the following:
a) y=0.25x+7
b) $10.75
Explanation:
a)
y=mx+b is the slope-intercept form.
B is our Y intercept meaning any fee or initial charge that adds to total cost. In this situation, the initial fee of $7 is our Y-Intercept. . Our mx is the slope. A slope increases based on the amount (x) of certain things you have. In this situation, you are buying maybe 1, 2 or 3 tickets and each ride costs $0.25.
Our x remains the same, that is where we plugin the amount of tickets we will buy (x). The M value is the price per ticket which as said, is $0.25 per. Our slope therefore will be 0.25x.
Combining our Y-Intercept and our Slope will leave us with y (total cost) = 0.25x + 7
b)
We have found our slope, 0.25x+7
Now, we have to plugin our number of rides (x) which is 15.
If done correctly it should be 0.25(15)+7 and that is equal to $10.75 for 15 rides.
All the DJ’s that Marie interviewed for the party charged a flat fee for supplies and then charged per hour. One DJ was going to charge $200 for travel and music and then $10 per hour. The other DJ was going to charge $150 and then $15 per hour. How many hours would both DJ’s be the same price and what is that price?
All of Marcy's marbles are blue, red, green, or yellow. One third of her marbles are blue, one fourth of them are red, and six of them are green. What is the smallest number of yellow marbles
After solving, the smallest number of yellow marbles are 4.
In the given question, all of Marcy's marbles are blue, red, green, or yellow.
One third of her marbles are blue, one fourth of them are red, and six of them are green.
We have to find the smallest number of yellow marble.
The 6 green marbles and yellow marbles of the total marbles = 1 - (1/3) - (1/4)
The 6 green marbles and yellow marbles of the total marbles = 5/12
Now, suppose the total number of marbles is x
We know the number of yellow marbles is 5/12 x-6 and a positive integer.
Therefore, 12 must divide x
Trying the smallest multiples of 12 for x.
We see that when x = 12
We get there -1 yellow marbles, which is impossible.
However, when x = 24 here are
= 5/12 x - 6
= 5/12*24 - 6
= 4
So, the yellow marbles are 4 which must be the smallest possible.
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Will mark brainlist if answered right =)
Answer:
Hello! answer: 1/2 and reduction
Step-by-step explanation:
a scale factor of 1/2 was applied because you do 3.4 ÷ 2 = 1.7 so thats 1/2 scale factor and its a reduction because the triangle is getting smaller then the original triangle hope that helps!
PLEASE HELP!!!!! find the measure of the arc or central angle indicated. assume that lines which appear to be diameters are actual diameters.
Answer:
B
Step-by-step explanation:
Remark
If you started at W and went all the way around the circle until you wound up back at W, you will have gone 360 degrees. Since the angle measurement that prevents that is 85 degrees, the answer must be 360 - 85 = 275.
Answer:
275
Step-by-step explanation:
The angle start in V then goes the left to Y and ends in W
First you add the First 34 degrees from V to U.
Then the 90 degrees from U to Y. (you can see it has a square on the angle therefore its 90).
After that you add another 36 degrees from Y to X.
Finally to get the unknown angle from X to W you subtract all the other angles from 360 degrees.
360-245=115
Then add all the angles and you get 275 degrees.
Might be wrong but I think its correct
It costs an initial $5 to ride a taxi and an additional $2 per mile driven. Which expression represents how much money you pay after riding m miles?
Answer:
x=5+2m
Step-by-step explanation:
With the information provided, you can say that the money you pay after riding m miles is equal to the initial cost to ride the taxi plus the result of multiplying the cost per mile driven for the number of miles, which can be expressed as:
x=5+2m, where:
x is the money you pay
m is the number of miles driven
(7x18+45) divided by 3x2
Answer:
114
Step-by-step explanation:
hope this helps!
Answer:
114
Step-by-step explanation:
7x18= 126
126+45=171
171 divided by 3=57
57x2= 141
PLEASE HELP
G(Ax)) may not be equal to HG(x)).
O A. True
O B. False
Answer:
A. True
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