The factors of the quadratic expression 3x² + 7x + 2 are 3x + 1 and x + 2.
We know for a quadratic expression of the form ax² + bx + c, the sum of the roots is -b/a and product of the root is c/a.
So in the given case
a = 3
b = 7
c = 2
Let the roots be α and β, therefore
α + β = -b/ a = -7/ 3
Also αβ = 2/3
We can find α and β by trial and error method. Else using the identity (a+b)² = a² + 2ab + b² and (a-b)² = a² - 2ab + b², we get
(a - b)² = (a + b)² - 4ab
Therefore
(α - β)² = (α + β)² - 4αβ
(α - β)² = (-7/ 3)² - 4×2/3
(α - β)² = 25/9
Assuming α>β,
α - β = 5/3
So solving α + β = -7/ 3 and α - β = 5/3, α = -1/ 3 and β = -6/3 = -2
Therefore simplifying
3x² + 7x + 2
= 3(x + 1/3)(x + 2)
= (3x + 1)(x + 2)
--The question is incomplete, answering to the question--
"What is the factor of 3x² + 7x + 2?"
To know more on factors of quadratic expression
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Complete the square to find the vertex of this parabola. Please help will mark brainliest!
Eighth grade T.12 Surface area of cylinders FGU What is the surface area of this cylinder? Use as 3.14 and round your answer to the nearest hundredth. 4 cm 6 cm square centimeters
Answer:
nosbao
Step-by-step explanation:
Which one is correct with each box
Answer:
the first one is (x+5)(x+7)
the second one is(x-7)(x-5)
the third one is (x-5)(x+7)
the fourth one is (x-7)(x+5)
Is –2,823,680 − 8,957,599 positive or negative?
Answer:
negative
Step-by-step explanation: it has negative signs
HELPPPPPPP!!!!!!!!!!!!!!
Answer:
the top and bottom ones
Step-by-step explanation:
helpo meeee pleaseeee
Answer:
A. is correct
Step-by-step explanation:
Divide both sides by 11
IL GIVE BRAINLY IF YOU CAN HELP ME ON THESE 2
Answer:
THE answers to both questions are A
Step-by-step explanation:
Answer:
a for both
Step-by-step explanation:
just move point c on the graph where it tells u to. a translation only affects location
Can someone please answer this
Answer:
It is true
Step-by-step explanation:
It is the same shape, it is just moved to a different spot on the graph because of translations.
Please help me with the math questions!!!
1. Becky received $1,900 from her tax returns last year. If she invests that money in an account that yields 5.9% interest and is not compounded, how much interest will she earn if she leave the money in the account for 2 3/4 years?
2. Edward invested $43,800 in an account with yields 4.8% annually and is not compounded. How much will be in the account after two years?
3. Frank invested $12,700 add 8.8% interest that is compounded annually. What is his total balance after five years?
4. When Georgia started kindergarten, her parents set aside $10,000 in an account that yielded 5.6% interest compounded annually to pay for her college tuition. After six years of elementary school, three years of middle school and four years of high school, how much was in the account for Georgia’s college to tuition?
5. Harrison has an account with a balance of $155.59. This account has an interest rate of 9.4% compounded annually and the initial investment was two years ago. How much was the initial investment?
6. Iago invested $1240 in an account that yields 8% and is compounded annually. How much interest will Iago earn after two years?
7. At the end of three years, Josh had a balance of $1837.57 in an account that yielded 7% interest compounded annually. How much of that was interest?
Answer:
#1. $308.28
#2. $48,004.80
#3. $19,361.91
#4. $20,306.31
#5. $130.00
#6. $206.38
#7. $337.57
Step-by-step explanation:
All rounded to the near tenths place
and i just did this same assignment rn
HEllllpp! Will give brainlyiest!!
Use the diagram below for this question. The angle bisectors of triangle ABC meet at G.
If m∠ ABC = (4x + 12) degrees and m∠ GBA = (3x – 4) degrees , find m∠ GBC.
26 degrees
44 degrees
52 degrees
36 degrees
enti ses lol ingeAnswer:no sw
sonçStep-by-step explanation:
Find the area of the figure round to the nearest tenth
Answer:
72.0
Step-by-step explanation:
what is the area of a square with an apothem length of 14 inches?
Answer:
784
Step-by-step explanation:
A = 1/2ap A = area , a = apothem , p = perimeter
a = 1/2s a = apothem length , s = side length
14 = 1/2s , 14(2) = 1/2s(2) , 28 = s
p = 4(s) , p = 4(28) , p = 112
A = 1/2ap , A = 1/2(14)(112) , A = 784
or
A = s^2 , A = 28^2 , A = 784
The area of a square with an apothem length of 14 inches is 784 inches.
What is apothem?The perpendicular from the center of a regular polygon to one of the sides.
As, A = 1/2*a*p
where, A = area , a = apothem , p = perimeter
Also, a = 1/2s
where, a = apothem length , s = side length
14 = 1/2s
14*2=s
s=28 inches.
Now, perimeter of square
p = 4(s)
p = 4(28)
p = 112 inches
Now, Area of square,
A = 1/2ap
A = 1/2*(14)*(112)
A = 784 inches
Hence, the area of square is 784 inches.
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A can of Mountain Dew has 46 grams of sugar with is 92% of a persons maximum daily value. What is the maximum grams of sugar a person should consume a day?
Answer:
50 grams
Step-by-step explanation:
Let t = maximum daily sugar value
From the question, we know that : 92% of the daily value is 46 grams
this equation can be formed
0.92 x t = 46 grams
to find t, divide both sides of the equation by 0.92
t =46/0.92= 50 grams
The ratio of the number of boys to the number of girls in a choir is 7 to 4. There are 48 girls in the choir. How many boys are in the choir? A. 75 B. 84 C. 48 D. 90
Answer:
84boys
Step-by-step explanation:
boys:girls
7:4
4= 48
7=?
=84boys
Hello fello humans I need help on this question please and thank you :)
Answer: The value of x is 6.
Step-by-step explanation:
In the figure we have two secants.
A secant is a line that intersects a circle in exactly two points.
For the figure attached below:
[tex]a\times b=c\times d[/tex]
So for the given figure,
[tex]x\times 8=4\times (4+8)\\\\\Rightarrow\ x=\dfrac{4\times12}{8}\\\\\Rightarrow\ x=6[/tex]
Hence, The value of x is 6.
Answer:
x=6
Step-by-step explanation:
and hello to you as well
HEY CAN SOMEONE HELP ME WITH MY LASTEST MATH QUESTION I WILL GIVE BRAINLIST PLEASE :)))
Answer:
I would love to help!!
Step-by-step explanation:
Please help me there is an image.
HELP HELP HELP HELP HELP
Answer:
the 2nd answer: w=36/4
Step-by-step explanation:
"w" is the number of songs Noah has, and since his number is song is one-quarter(1/4) of Tyler's songs, you have to do 36 divided by 4 (aka 36/4). hope this helps :)
Help me please lol nnb
Answer:
128
Step-by-step explanation:
Can someone please help me with this i don't understand the way my teacher explained it
Answer:
I dont even understand that and im in 8th grade lol
Answer:
7,476 would be your answer because
62,300 divided by 3% is 1,869
and 1,869 times 4 is 7,476
Step-by-step explanation:
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Answer:
1/4 the new area
Step-by-step explanation:
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Given that:
Initial dimension of patio = 5' by 10'
Initial area of patio = Area of rectangle = Length * width
Area of patio = 5 * 10 = 50 in²
If dimension is multiplied by 2
New dimension :
5* 2 by 10*2 = 10' by 20'
New area of patio :
10 * 20 = 200 in²
50 /200 = 1/4
The old area will be 1/4 the size of the new area of the patio
1. Write the word sentence as an equation. 2. Then solve the equation. 5/7a=25
Answer:
a = 35
Step-by-step explanation:
5/7a = 25
multiply both sides by 7:
5a = 175
divide by 5:
a = 35
Hope this helps !!!
Factor this trinomial completely.
15x2 + 11x- 12
O A. (x+3)(15x – 4)
O B. (x + 4)(15x – 3)
O C. (3x + 4)(5x - 3)
O D. (3x + 3)(5x - 4)
Answer:
(5x-3)(3x+4)
Step-by-step explanation:
I hope this helps
solve for x
2 3/4 x = 11 11/12
Answer:
If your question mean : 2×3/4×X = 11×11/12 then ans is (121/18) I.e. 6.722
Step-by-step explanation:
1) multiply all the numerator part
2) Cross multiply and solve for X.
What is the measure of EGF?
What is the measure of CGF?
Answer:
[tex]EGF = 65\\ CGF = 115[/tex]
Which graph represents the parametric equations x(t) = t + 3 and y(t) = t2 – 1 for –1 ≤ t ≤ 3?
Answer:
Graph 4 or D on edge
Step-by-step explanation:
guy above is correct
The formula that is used for calculating a parametric equation when converting from rectangular to parametric is y=f(x)
What is a Parametric Equation?This refers to the type of equation that is used to show an independent variable called a parameter, usually with the number 1.
Please note that your question is incomplete so I gave you a general overview to give you a better understanding of the concept.
Read more about parametric equations here:
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The local weather report stated there is a
3
chance of rain on Saturday. How likely is it to rain?
4?
Answer:
likley
Step-by-step explanation:
Its not certain at the fraction isn't 4/4 it is likely though as the there is a 3/4 chance which is more than half.
Practice: Trigonometric Ratios Sides
Answer:
30.67
Step-by-step explanation:
Given the following
Opposite side = x
Adjacent = 17
Angle = 61degrees
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 61 = x/17
x = 17tan61
x = 17(1.8040)
x = 30.67
Hence the value of x is 30.67
If p(x) = 5(x^2 +1) + 16, what is the value of p(11)?
A. 622
B. 736
C. 626
D. 690
C. p(11) = 626.
Step-by-step explanation:
Given : p(x) = 5(x²+1)+16.
To find : what is the value of p(11).
Solution : We have given p(x) = 5(x²+1)+16.
For x = 11.
p(11) = 5((11)²+1)+16.
p(11) = 5 ( 121 + 1 ) +16.
p(11) = 5 (122) + 16.
p(11) = 610 + 16.
p(11) = 626.
Therefore, p(11) = 626.
Which two parallelograms have the same area
Answer:
Solution given:fig 1
base[b]=4cm
height[h]=15cm
we have
Area of parallelogram=b×h=15×4=60cm²
Solution given:fig 2
base[b]=18cm
height[h]=3cm
we have
Area of parallelogram=b×h=18×3=54cm²
Step-by-step explanation:
Solution given:fig 3
base[b]=11cm
height[h]=6cm
we have
Area of parallelogram=b×h=11×6=66cm²
Solution given:fig 4
base[b]=12cm
height[h]=5cm
we have
Area of parallelogram=b×h=12×5=60cm²
So fig 1 =fig 4[Area]
URGENT Find the area of the shaded region.
Answer: 3.32276 units squared
Step-by-step explanation:
area of total sector=(pi*r^2)/360
=2^2 * 120pi /360
=4*120/360 * pi
=4.1887902
area of the triangle=(1/2)*base*height
the height is 1 (because you can divide the triangle down the middle to make a 30 60 90 triangle, and the sin(30)=x/2, so 2sin(30)=x, x=(1/2)*2
the base is equal to [tex]\sqrt{3}[/tex] because the base of the 30 60 90 triangle is 2sin(60), and sin60 is [tex]\sqrt{3}[/tex]/2, so you have to double that to get the area of the 120 degree triangle.
the area of the triangle is (1/2)*1*[tex]\sqrt{3}[/tex]=[tex]\sqrt{3} /2[/tex]=0.866025
so the difference is 4.1887902-0.866025
=3.32276 units squared