The factored form of the expression 6x² - 5x - 6 is (3x + 2)(2x - 3) .
The Factored form of quadratic equations means expressing the polynomial as a product of its linear factors. This process allows to simplify quadratic expressions, find their roots and solve further .
The expression is given ; 6x² - 5x - 6 .
= 6x² - 9x + 4x - 6 ,....by using split the middle term method ;
= 3x(2x - 3) +2(2x - 3) ;
= (3x + 2)(2x - 3)
Therefore , the factored form is (3x + 2)(2x - 3) .
The given question is incomplete , the complete question is
What is the factored form of this expression 6x² - 5x - 6 ?
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Evaluate the expression for b = 0 and c= -11.
bc + b
Answer:
If b = 0 and c = -11, all you have to do is plug in the values into bc + b:
Step-by-step explanation:
(0)(-11) + 0 = 0
Answer:
0
Step-by-step explanation:
The answer would be 0 because (0)(-11)+0=0 since the 0 cancels out the -11 and anything added by 0 is the number.
Solve the problem.
20) You have 340 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle
that maximize the enclosed area.
A) 87 ft by 83 ft
B) 170 ft by 42.5 ft
C) 170 ft by 170 ft
D) 85 ft by 85 ft
Answer:
QUADRATIC FUNCTIONS AND EQUATIONS
Danielle N. asked • 11/25/17
You have 356 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.
(Hint: Write formula for area as a quadratic function of length and use the concept of maximum value of quadratic function)
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Michael J. answered • 11/25/17
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Let length = x
Let width = y
Area = xy
Perimeter equation is
2(x + y) = 356
x + y = 178
Substituting the perimeter equation in the area formula,
Area = x(178 - x)
Area = -x2 + 178x
If the zeros of this quadratic are 0 and 178, then the median is where the maximum area occurs.
178 / 2 = 89
Therefore, the dimensions are
length = 89 feet
width = 178 - 89 = 89 feet
Maximize the enclosed area of the rectangle is 85 ft by 85 ft.
What is perimeter of rectangle?Perimeter of rectangle is defined as addition the lengths of the rectangle's four sides.
Let length = a
Let width = b
Area of rectangle = ab
Perimeter of rectangle equation is 2(a + b)
2(a + b) = 340
a + b = 170
Substitute the perimeter equation in the area formula,
Area = a(170 - a)
Area = -a² + 170a
If the zeros of this quadratic are 0 and 170, then the median is where the maximum area occurs.
170 / 2 = 85
Therefore, the dimensions are
length = 85 feet
width = 170 - 85 = 85 feet
The rectangle is a square.
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Pls help meeeee and thank you so so so much
Answer: 1/3 x + -1
Step-by-step explanation:
Answer:
y = 2x -1
Step-by-step explanation:
Use slope intercept. The line is rising by 2 points and the y-intercept lies at -1.
Worth five points! Will mark the first person who answered with an actual correct answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
Triangle DEF is an isosceles triangle.
DE = EF
m⦟D = 26°
What is m⦟F?
A. 26°
B. 64°
C. 77°
D. 128°
Answer:
The answer is 77 degrees
Coach Ellis surveyed a sample of students about their favorite sport. The circle graph below shows
some of the percents to represent the results. 100 students chose football.
How many students chose swimming as their favorite sport?
Answer:
C. 120 students
Step-by-step explanation:
10 + 15 + 20 +30 = 75%
100 - 75 = 25%
25% chose football which is 100 students
30% chose swimming
setup proportion:
25/100 = 30/x
25x = 100(30)
25x = 3000
x = 120
Find the value of x.
Answer:
4.56
Step-by-step explanation:
654-98-5=4.56
16 gallons of water are used to completely fill 5 fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold?
Math.... Can you help
Answer: -42 7/8
Step-by-step explanation: Hope this help:D
A camping store is having a summer sale. Stoves are being sold at 40% off. If the sale price is $57 what was the original price of the stove before the sale
Answer:
The original price was $142.5.
Step-by-step explanation:
40 ÷ 100 = 0.4
$57 ÷ 0.4 = $142.5
Therefore, $142.5 is our answer.
Answer:
142.5
Step-by-step explanation:
Let's say the original price of the store before the sale is x
so 40% x X = $57
40/100 (X ) =57
0.4 (X) = 57 ====> X = 57 / 0.4 = 142.5
The original price of the stove before the sale is $ 142.5
GIVING BRAINLIEST AND THE REST OF MY POINTSSS!!!!!PLS HELPP :((
Carter is at the burger joint. To get there he traveled 5 blocks right and 10 blocks up. What coordinates did Carter start from?
Answer:
the bowling alley
Step-by-step explanation:
Answer:
Carter started from the coordinates (9,5)
Step-by-step explanation:
Emma is taking a trip to the beach. So far, she has driven 58 miles in 1.25 hours.
Determine Emma's constant speed and simplify it to a unit rate.
Then write a linear equation in two variables that represents Emma's distance, d, she travels in any given time t.
Answer:
46.4miles/hour
d=46.4t
Step-by-step explanation:
Let's say d=at, where d = distance, a = the unit rate, and t = any given time.
We're given that Emma takes 1.25 hours to drive 58 miles. Plugging that into our formula of d=at, we get:
58 = 1.25a.
So, a = 46.4.
The formula now becomes d=46.4t.
Please I’m struggling
To find the volume of an rectangular prism multiply length times width times height
Answer:
Length (l) = 6 cm
Breadth (b) = 4 cm
Height (h) = 5 cm
Volume (V) = ?
V = l × b × h
Volume =
[tex]l \times b \times h \\ = 6 \times 4 \times 5 \\ = 6 \times 20 \\ = 120 \: {cm}^{3} [/tex]
=> Volume of the rectangular prism is 120 cm³.
3n^2+4m+5
A. 2
B. 3
C. 4
D. 5
Answer:
3?
Step-by-step explanation:
3n²+4m+5
3n²+(4m+5)
=3n²+9m
=3n²/9m;(3÷9)(n²÷m)
=1n²/3m
=n²/3m
If a figure can be rotated n times, it has how many lines of rotational symmetry?
Answer: n + 1
Step-by-step explanation:
Mr. Frank has 1.08 kilograms of fertilizer for the plants in his nursery. He wants every plant to get 93 mg of fertilizer 4 times each year. What is the number of plants he could fertilize with that amount? How much fertilizer will he have left over?
Answer: See explanation
Step-by-step explanation:
First and foremost, we should know that: 1 kilogram = 1,000,000 milligrams
Therefore, 1.08kg will be converted to milligram and this will be:
= 1.08 × 1,000,000 milligrams
= 1,080,000 milligrams
Since every plant gets 93mg of fertilizer, the number of plants that can be fertilized will be:
= 1,080,000 / 93
= 11612.903
Therefore, 11612 plants can be fertilized.
The fertilizer left over will be:
= 1,080,000 - (11612 × 93)
= 1080000mg - 1079916mg
= 84 mg
Meredith went to an aquarium with some of her friends. The tickets cost $12.95 each, and they spent $38 on souvenirs. The total amount spent was $115.70. Which equation can be used to determine how many tickets, t, were purchased?
Answer:
12.95t+38=115.70
Step-by-step explanation:
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
Option 3: cos A=15/17
Step-by-step explanation:
Sine is the opposite side over the hypotenuse,
Cosine is the adjacent side over the hypotenuse, and
Tangent is opposite side over the adjacent side
You can remember this with the acronym SOHCAHTOA (sine, opposite, hypotenuse, cosine, adjacent, hypotenuse, tangent, opposite, adjacent)
Option 3 uses cosine, so the adjacent angle to angle A would be 15 and the hypotenuse would be 17, so 15/17
Which side lengths will NOT form a triangle? *
8.5 in., 12.5 in., 16 in.
5.5 in., 7.5 in., 13 in.
6 in., 8 in., 8 in.
11 in., 10 in., 9 in.
Answer:
The 6in, 8in, 8in one.
Step-by-step explanation:
find the gradient of the line AB
Answer:
⅙
Step-by-step explanation:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
From the graph, coordinates of A and B are (-1, 1) and (5, 2) respectively.
Gradient of line AB
[tex] = \frac{2 - 1}{5 - ( - 1)} [/tex]
[tex] = \frac{1}{5 + 1} [/tex]
[tex] = \frac{1}{6} [/tex]
Pls I need to know!!
To stay healthy, Emily decided to walk for 4 5mile every day. She walked 2 5mile to work and walked 1 4mile at lunchtime. How much more does she need to walk after dinner if she wants to meet her target distance?
Answer:
Target distance is 4/5 miles
walked 2/5 miles and walked 1/4 miles
so distance need to walk is 3/20
-heart or brainly me :3-
Answer:
1.1 more miles after dinner
Step-by-step explanation:
add 2.5 and 1.4 to get 3.9, then subtract 3.9 from 5 to get 1.1
Subtract
9x2 + 7x - 2 from 8x – 10.
Answer:
[tex]9x^{2}[/tex] − 19x + 12
Step-by-step explanation:
Please help me with this problem!!
Please help with question please please
Answer:
B. 55+70<750
Step-by-step explanation:
The formula for finding the volume of a cube is V=s3, where s is the length of one side. What is the volume, in cubic units, of a cube with side length 4.2 units? Round to the nearest hundredth when necessary.
Answer:
74.088
Step-by-step explanation:
you multipy 4.2 times 4.2 times 4.2 and get the answer of 74.088
what is the answer for this, I have to solve the proportion,
n/18 = 12/7.5
Answer:
n = 28.8
Step-by-step explanation:
[tex]\frac{n}{18} =\frac{12}{7.5}[/tex]
n × 7.5 = 18 × 12
7.5n = 216
7.5n ÷ 7.5 = 216 ÷ 7.5
n = 28.8
Can someone please help me with this???
Answer:
1 cm
Step-by-step explanation:
To solve this problem we can use the Pythagorean theorem. In fact the diagonal of a rectangle is an hypotenuse of a right triangle, while the length is a leg. The width is the other leg
width = √2^2 - (√3)^2 = √4 - 3 = √1 = 1 cm
The vertices of a triangle MNP are M(5,6) , N(0,3) , and P(4,-2). What is the coordinate of the midpoint of the line connecting the midpoints of sides MN and MP
Answer:
(3.5, 3.25)
Step-by-step explanation:
Given the vertices of a triangle MNP as M(5,6) , N(0,3) , and P(4,-2).
Midpoint of MP is expressed as;
M(5,6) and P(4,-2).
Xmp = (5+4)/2
Xmp = 9/2
Xmp = 4.5
Ymp = (6-2)/2
Ymp = 4/2
Ymp = 2
Hence the midpoint of MP is at (4.5, 2)
Similarly for MN
M(5,6) , N(0,3)
Xmn = 5+0/2
Xmn = 5/2
Xmn = 2.5
Ymn = 6+3/2
Ymn = 9/2
Ymn = 4.5
Hence the midpoint of MN is (2.5, 4.5)
The coordinate of the midpoint of the line connecting the midpoints of sides MN and MP will be expressed as;
MN(2.5, 4.5) and MP (4.5, 2)
M = {(2.5+4.5/2, 4.5+2/2)}
M = (7/2, 6.5/2)
M = (3.5, 3.25)
Hence the required midpoint coordinate is (3.5, 3.25)
Help please :(
CROWN ???
Answer:
7&8 both true
9 is false
Step-by-step explanation:
tghdhfshj
Answer:
True
True
False
Step-by-step explanation:
2(7) -3 = 14 -3 = 11
2(8) -3 = 16 -3 = 13
2(9) - 3 = 15
The answer has to be less than 15
3 consecutive even numbers that add up to 3000
Answer:
998, 1000, 1002
Step-by-step explanation:
Self explanatory, if you add the three numbers the sum is 3000.