Answers
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
Related Questions
Negative X plus negative one equals 3X plus -5 what is X
Answers
-x-1=3x-5
then it should be x=1
Can someone help me with this umm math thingy
Answers
Answer:
1. The similar triangles are ΔXYZ and ΔPQR
The triangles are similar by the AA rule of similarity
2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles
3. x = 17.5
4. x = 20
Step-by-step explanation:
1. The angles of triangle ΔXYZ are;
∠X = 32°, ∠Y = 84° and ∠Z = 180° - (84° + 32°) = 64°
The angles of triangle ΔPQR are;
∠P = 64°, ∠R = 32° and ∠Q = 180° - (64° + 32°) = 84°
The angles of triangle ΔABC are;
∠A = 64°, ∠C = 92° and ∠B = 180 - (92 + 64) = 24°
Therefore, the two similar triangles are ΔXYZ and ΔPQR
The triangles are similar based on Angle-Angle (AA) rule of similarity
2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles
3. We have by corresponding triangles formed by the tree and Enzo as follows;
5 ft./(6 ft.)= x/(21 ft.)
∴ x = 21 ft.× (5 ft./6 ft.) = 17.5 ft.
x = 17.5 feet
4. By corresponding triangles, we have;
(35 ft.)/(40.5 ft.+ 54 ft.) = x ft./(54 ft.)
∴ x ft. = (54 ft.) × (35 ft.)/(40.5 ft.+ 54 ft.) = 54 ft. × (35 ft.)/(94.5 ft.) = 20 ft.
x ft. = 20 ft.
∴ x = 20
Bruno is a manager at a factory that makes in-line skates. The equation 200x - y + 500 = 0 relates y, the number of pairs of skates the factory has in the warehouse and x, the number of hours after bruno starts his shift. Show that the equation is a linear equation by writing it in a slope-intercept form. Show your work
Answers
Answer:
Slope- intercept form y = 200 x + 500
Step-by-step explanation:
Explanation:-
Given that the equation
200x - y + 500 = 0
where y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours
The slope-intercept form
y = m x +C
Given equation 200x - y + 500 = 0
200 x + 500 =y
y = 200 x + 500
Slope of the equation m = 200 and y-intercept 'C' = 500
Could anyone help me with this question please?
Answers
construction = divide the figure into two parts.
now we have triangle abd and bdc.
first calculate the area of abd.
area of triangle= 1/2×base ×height
area of triangle= 1/2×18×7.5
area of triangle=67.5cm²
second calculate area of bdc
area of triangle=1/2×15.6×11.7
area of triangle=91.26cm²
area of the figure=area of abd + area of bdc
area of the figure=67.5cm²+ 91.26cm²
area of figure=158.76 cm².
common denominator for 3/5 and 1/2
Answers
Answer: 10
Step-by-step explanation:
To find a common denominator, simply multiply the denominator and numerator of one fraction by the denominator and numerator of the other. Then repeat.
3*2/5*2 = 6/10
1*5/2*5=5/10
As you can see, the denominator of both fractions is 10.
Hope it helps and lmk if you need further explanation :)
this killing me pls help ♀️
Answers
Add 3 to both sides.
-6p = 12
Divide -6 by both sides.
p = -2
2(2x2 + 3) =
Example how you got the answer
Answers
Answer:
22
Step-by-step explanation:
4x4+6
16+6
=22
Answer:
14
Step-by-step explanation:
i used pemdas so fist i multiplied 2x2 then added 3 them multiplied 7 with 2 which gets us 14.
hey please help, in your own words, what is a radical expression?
Answers
Can anyone explain polynomials in a way that makes sense lol?
Answers
Answer:
Answer:
well here's the def. maybe this can help you sum up answer
*polynomial
[ pol-uh-noh-mee-uhl ]SHOW IPA
adjective
consisting of or characterized by two or more names or terms.
noun
Algebra.
(in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.
a similar expression in more than one variable, as 4x2y3 − 3xy + 5x + 7.
Now Rare.Also called multinomial. any expression consisting of the sum of two or more terms, as 4x3 + cos x.
a polynomial name or term.
Biology. a species name containing more than two terms.
:
Given the sequence: 128, 32, 8, 2, ½, …
State the rule verbally. In other words, state how you would tell someone the sequence without just listing the numbers in the sequence.
Write the recursive rule for the sequence.
Write the explicit rule for the sequence.
please help me :')
Answers
Recursive rule: an=r•an-1
An=0.125(4) is the answer
this is a geometric rule because your dividing
Explicit rule: 128+4(n-1)
Which of the following is most likely the next step in the series?
Answers
Answer:
your answer is D
Step-by-step explanation:
hope it helps
have a great day (:
can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.
Also put two of these words in it Although or so unless.
40 points
Answers
the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead
(this is english not math change your question when you have to do this again)
Help me with this q uesitpn please
Answers
help pls i’m slow :(((((((
Answers
Answer:
10ft
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
there is a 5 ft difference
which equation would be the easiest to solve first by using the substitution method? EXPLAIN WHY
equation 1: 3x+5y= -8
equation 2: x- 2y=1
Answers
Answer:
Equation 2: x - 2y = 1
Step-by-step explanation:
The equations easiest to use substitution are the ones that have the variable multiplied by one, as in the case of Eq. 2 where x is 1x, so if you substitute a zero for x, we know that y has to be -1/2 for the equation to be true. Furthermore, if you substitute a 0 for y you automatically know that x = 1.
If you try to substitute anything for x in equation 1, let's say x = 1, you still have to multipy by 3, then the rest of the problem would be more steps.
4. Find the product of (a+b)(a²-ab+b?)
Answers
Answer:
a³+b³
Step-by-step explanation:
this is formula. You can also refer to the attachment
Answer:
Step-by-step explanation:
(a + b) (a² - ab + b) = a*(a² - ab + b) + b(a² - ab + b)
= a*a² - a*ab +a*b + b*a² - b*ab + b*b
= a³ - a²b + ab + a²b -ab² + b²
= a³ - a²b + a²b + ab - a²b + b²
= a³ + ab - a²b + b²
Two bags of chips cost $1.50.
Will one bag cost more or less than $1.50?
Answers
Answer:
Less
Step-by-step explanation:
If 2 bags of chips cost $1.50, 1 bag of chip costs half that price.
Determine if the following ratios form proportions.
1.) 1 to 3 and 7 to 21
2.) 3 to 4 and 24 to 18
3.)1:5 and 6:30
for brainiest:)
Answers
Answer:
1. Proportional
2. Not proportional
3. Proportional
Step-by-step explanation:
We have three questions with 2 ratios and are asked if they are proportional or not.
To define proportionality, basically its if the two ratios equal the same value when put in a certain way.
And that way is :
[tex]\frac{x}{y} =\frac{x}{y}[/tex]
You will substitute the numbers with the letters, in which you will cross multiply :
[tex]\frac{x * y}{x*y}[/tex]
So subtitute :
1.
[tex]\frac{1}{3} *\frac{7}{21}[/tex]
[tex]\frac{1*21}{7*3}[/tex]
[tex]21=21[/tex]
Therefore 1. is proportional.
2.
[tex]\frac{3}{4} *\frac{24}{18}[/tex]
[tex]\frac{4*24}{3*18}[/tex]
[tex]\frac{96}{54}[/tex]
96 = 54
Therefore 2. is not proportional.
3.
[tex]\frac{1}{5} *\frac{6}{30}[/tex]
[tex]\frac{1*30}{5*6}[/tex]
[tex]\frac{30}{30}[/tex]
30 = 30
Therefore 3. is proportional.
Gloria rides a bike 8 miles in 40 minutes. Nanette rides a bike 5 miles in 30 minutes. Who bikes faster? Explain.
Answers
Answer:
Nanette
Step-by-step explanation:
Nanette.
Gloria's rate = 40/8 = 5mph
Nanette's rate = 30/5 = 6mph
Hope that helps!
Answer:
gloria
Step-by-step explanation:
40 divided by 8 = 5
30 divided by 5 =6
8x=2 what is the value ofx
Answers
Answer:
0.25
Step-by-step explanation:
8x=2
[tex] = > x = \frac{2}{8} [/tex]
[tex] = > x = \frac{1}{4} or \: 0.25(ans)[/tex]
Step-by-step explanation:
8x=2
= > x = \frac{2}{8} =>x=
8
2
= > x = \frac{1}{4} or \: 0.25(ans)=>x=
4
1
or0.25(ans)
13. How can you use estimation to find
92 +92 +92 +92 +92?
Answers
Answer:
bye adding them in your head
Urgent please help, will give brainliest
Answers
Answer:
51.89085
Step-by-step explanation:
area = 49pi
150/360 * 49pi = 64.14085
triangle area = 7 * sin(75 degrees) * 7 * cos(75 degrees) = 12.25
==> white region = 64.14085 - 12.25 = 51.89085
What are the coordinates of the points that will complete the square?
PLEASEEEE HELP I WILL GIVE BRAINLIEST
Answers
Answer:
(-2,-1)
Step-by-step explanation:
A square has all equal sides so the number between each point is 3. That means, the point has to be 3 away from the other point.
Answer:
Step-by-step explanation:el primer número siempre es x, entonces lo cuentes primero en la línea horiolas el número de espacios que te pide, el segundo es es y , este o cuentes de arriba hacia abajo.
te dejo la respuesta de todos modos
(-2,-1)
Mary multiplied 425.32 by 981.21 and got an answer of 41,732,823.72.
Use estimation to see if her answer is reasonable.
A. No, the answer is about 400,000,000
B. No the answer is about 4,000,000
C. No, the answer is about 400,000
D. No, the answer is about 40,000
(Show your work here.)
Answers
when you multiple 425.32 and 981.21 you get 417,328.237 so the answer would be “about”400,000.
A bag contains 2 red marbles, and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in simplest form.
Answers
Answer:
4/25
Step-by-step explanation:
The total number of marbles is 2+3=5 total
P(1 red, then a second red) = (2/5) * (2/5) = 4/25
What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2
3х
+1
Answers
Answer:
Step-by-step explanation:
The question is not displaying correctly.
4x·3x = 12x²
the alpha recruitment agency is advertising a high-profile employer-paid job as vice president of it operations. the fee is 25% of the first month’s pay. if the job pays x dollars annually, express the agency’s fee algebraically. answer pls
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Answer:
0.25x
Step-by-step explanation:
got it right on cengage
what is the vlaue of (2/7)³ ?
Answers
Answer:
0
Step-by-step explanation:
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=83°, and KL = 74 feet. Find the length of MK to the nearest tenth of a foot.
Answers
Answer:
9
Step-by-step explanation:
work out (10 - 3 x 2) ^2
Answers
Answer:
Step-by-step explanif you subtract 10 from 3 you would get 7 multiply that by 2 x2 and then you would ge