WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :
Answers
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
Related Questions
5th grade math. correct answer will be marked brainliest
Answers
Answer: First 12/8, then 3/2
Step-by-step explanation: 3/2.
If you want the mixed fraction, it would be 1 1/2.
4 times 3 is 12... 12/8
1 whole box (8/8)
So 12/8-8/8=4/8 left
1 whole and 1/2
Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap
Answers
Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.
Answer:
C.8n=56
Step-by-step explanation:
helppppppppppppppppp
Answers
Answer:
x[tex]\leq[/tex]1
Step-by-step explanation:
what is the fraction form of .8
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Write the inequality for the description. Use x as your variable.
Mary has at least 14 pairs of shoes in her closet.
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Answer:
x≤14
Step-by-step explanation:
≤ = greater than/equal to(at least)
help me please i dont know what to do
Answers
Answer:
x = 14.4
Step-by-step explanation:
First of all, the triangle has three sides, so let's use hero's formula to find the area.
A = √[p(p - a)(p - b)(p - c)]
Where;
a, b and c are the 3 given sides of the triangle and;
p = (a + b + c)/2
p = (18 + 30 + 24)/2
p = 72/2
p = 36
Thus;
A = √(36(36 - 18)(36 - 30)(36 - 24))
A = √46656
A = 216 Sq.units
Now, we also know from general formula of a triangle that;
A = ½bh
Where;
b is base and h is height
In the given image;
b = 30
h = x
Thus;
½ × 30 × x = 216
Rearranging, we have;
x = 216 × 2/30
x = 14.4
The area of a rectangle Is 52 ft?, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle.
Answers
x(2x - 5) = 52
2x2 - 5x - 52 = 0
(2x - 13)(x + 4) = 0
x = 6.5 or x = -4
Since x can't be negative, x = 6.5
width = x = 6.5 feet
length = 2x - 5 = 8 feet
PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B
Answers
Answer/Step-by-step explanation:
Part A:
(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)
Solve for x
6x + 2 + 8x + 6 + 7x + 4 = 180
Add like terms
21x + 12 = 180
21x + 12 - 12 = 180 - 12
21x = 168
21x/21 = 168/21
x = 8
Part B:
Method 1:
m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)
m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)
Plug in the value of x
m<CFD + 6(8) + 2 + 8(8) + 6 = 180
m<CFD + 48 + 2 + 64 + 6 = 180
m<CFD + 120 = 180
m<CFD + 120 - 120 = 180 - 120
m<CFD = 60°
Method 2:
m<CFD = m<AFE (vertical angles are congruent)
m<CFD = (7x + 4)° (substitution)
Plug in the value of x
m<CFD = 7(8) + 4
m<CFD = 60°
What is 30 percent of 48
Answers
Answer: 14.4
30*48=14.4%
Step-by-step explanation:
Answer:
14.4
Step-by-step explanation:
How to find the missing remote angle
Answers
Help what is 3 1/2 divided by 8
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What is the area of the shaded region below in factored form?
Answers
Answer:
D) 4(x - 6)(x + 1)
Step-by-step explanation:
(2x - 5)(2x - 5) = 4x² - 20x + 25
7(7) = 49
4x² - 20x + 25 - 49
4x² - 20x - 24
4(x² - 5x - 6)
4(x - 6)(x + 1)
It costs $29.50 to enter an amusement park and $0.25 to ride a ride. You have $30. Write an equation that represents the number of rides you can ride.
Answers
Answer: 120.
Step-by-step explanation: $30 divided by $0.25
Brainliest for correct answer
Answers
Answer:
2 is the answer I think sorry if am wrong
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+161x+108
y=−16x
2
+161x+108
Answers
Answer:
5.03secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
y = -16x^2 + 161x + 108
The rocket reaches it max height when its velocity is zero
Velocity is expressed as;
V(x) = dy/dx = 0
dy/dx = -32x + 161
0 = -32x + 161
32x = 161
x = 161/32
x = 5.03
Hence it will take 5.03secs for the rocket to reach its maximum height
A tennis tournament has 342 players. A single match involves 2 players. The winner of a match will play the winner of a match in the next round, whereas losers are eliminated from the tournament. The 2 players who have won all previous rounds play in the final game, and the winner wins the tournament. What is the total number of matches
Answers
Answer:
341 matches
Step-by-step explanation:
Given
[tex]Players = 342[/tex]
[tex]Match = 2\ players[/tex]
Required
Total number of matches.
The total number of matches is calculated by getting the number of matches in each round.
i.e.
[tex]Matches = \frac{Players}{2}[/tex]
So, we have:
Round 1
[tex]Matches = \frac{342}{2} = 171[/tex]
Round 2
[tex]Matches = \frac{171}{2} = 85\ R\ 1[/tex] [R 1 means remainder 1]
Round 3
[tex]Matches = \frac{85 + 1}{2} = \frac{86}{2} = 43[/tex]
[The remainder is added to each round]
Round 4
[tex]Matches = \frac{43}{2} = 21\ R\ 1[/tex]
Round 5
[tex]Matches = \frac{21+1}{2} = \frac{22}{2} = 11[/tex]
Round 6
[tex]Matches = \frac{11}{2} = 5\ R\ 1[/tex]
Round 7
[tex]Matches = \frac{5+1}{2} = \frac{6}{2} =3[/tex]
Round 8
[tex]Matches =\frac{3}{2} = 1 + 1[/tex]
Round 9
[tex]Matches = \frac{1+1}{2} =\frac{2}{2} = 1[/tex]
So, the total is:
[tex]Total = 171 + 85 + 43 +21 + 11 + 5 + 3 + 1+1[/tex]
[tex]Total = 341[/tex]
Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.
Answers
Answer:
4d - c + 3
4(6) - 3 + 3
24 - 3 + 3
24
Step-by-step explanation:
24
Hope this helps :T
A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answers
Answer : 169
Step-by-step explanation:
4(x+19) = 752
4x +76 = 752
4x = 752 - 76
x = 676/4
x=169
Hope this helps ;)
Please mark me the BRAINLIEST
What is the cardinality of
the set A={a,e,i,o,u}
Answers
Answer:
n(A) = 5
Step-by-step explanation:
The cardinality of a set is the total number of elements in the set
Given the set
A = {a,e,i,o,u}
The total number of letters we have in the set is 5 i.e. a, e, i ,o and u. Hence the cardinality of the set A is 5. This can also be written as n(A) = 5
CONVERT THE PERCENTAGES FRACTION 140%
Answers
Answer:
7/5 simplified
Step-by-step explanation:
Its 7/5 Trust
Brainliest please!
Answer:
14/10 or 7/5
Step-by-step explanation:
Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable
Answers
Answer:
20
Step-by-step explanation:
fw3f2f3sf a
wanna know if my answer is correct (C.) please help!!!!
Which of the following is the solution to the equation 2/3x = 12?
A. X= 4
B. X= 8
C. X = 18
D. X = 24
Answers
Answer:
the correct answer is C
Step-by-step explanation:
What’s the area of this polygon? Need to show work.
Thank you!
Answers
Step-by-step explanation:
area of traingle formed on right= 1/2*base*height
=1/2*5*6
= 15mi²
please help i don't even where to start
solve for x
Answers
The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.
Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length x.
Now, by the intersecting chord theorem,
16×4 = x × x
or
x ² = 64
so that
x = 8
Emily grows flowers on part of her 2-acre farm. Her house
and barn cover half an acre, her vegetable gardens cover
1 1/4 acres, and her flower garden covers the rest of her
farm. She divides the flower garden into 16 equal-sized
plots and puts 4 kinds of flowers in each plot.
How large is each plot of flowers in Emily's garden?
Answers
Answer:
1/64 for each type f flowe
Step-by-step explanation:
A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket
Answers
Answer: There are 9 mangoes left in the basket.
Step-by-step explanation:
(2/5) * 15 = 6.
15 - 6 = 9.
Sumita buys a set of earphones for £12.17.
She pays with £15.
How much change does she get?
Give your answer in £.
Answers
Answer:
2.83
Step-by-step explanation:
Please give brainliest
Answer:
2.83
Step-by-step explanation:
Help me with this pls
Answers
Answer:
x=65 degrees
Step-by-step explanation:
It's a right angle because a line is equal to 180* and one side is a right angle so the other is one as well so 90*-25*=65*
The equation has a solution of x = 5.
What is the value of k?
k =
Answers
Answer:
K= -11
Step-by-step explanation:
5. What is the volume of the triangular
prism?
a) 480 cm3
b) 192 cm3
c) 240 cm
d) 384 cm3
Answers
Answer:
B
Step-by-step explanation:
The volume of a prism is the area of the cross section x length
The area of the cross section:
Area of a triangle = [tex]\frac{base * height}{2}[/tex] so [tex]\frac{6*4}{2} = 12[/tex]
12 x 16 = 192 so B
Answer:
Step-by-step explanation: