Answer:
For [tex]x \in\mathbb{C}[/tex]
[tex]x = -2i[/tex]
[tex]x = 2i[/tex]
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-7x^2+4x-28[/tex]
For [tex]f(x) = 0[/tex]
[tex]x^3-7x^2+4x-28 = 0[/tex]
We can easily factor the expression [tex]x^3-7x^2+4x-28[/tex] by grouping.
[tex]x^3-7x^2+4x-28 = (x^3-7x^2)+(4x-28) = x^2(x-7)+4(x-7) = \boxed{(x^2+4)(x-7) }[/tex]
Now we have
[tex](x^2+4)(x-7) = 0[/tex]
Therefore,
[tex]x^2+4 = 0 \text{ or } x-7 = 0[/tex]
So,
[tex]x^2 = -4 \implies x = \pm\sqrt{-4}[/tex]
Once [tex]\sqrt{-1} = i[/tex]
[tex]x = \pm\sqrt{-4} = \pm\sqrt{4}\sqrt{-1} = \pm 2i[/tex]
What equation is a proportion?
7/9 = 21=28
1/3 = 1/4
5/8 = 20/32
3/4 = 6/9
Answer:
5/8=20/32
Step-by-step explanation:
i need help on these
and no im not in college lol
Answer:
4) d. 30%. 5) 55/21. 6) 16
Step-by-step explanation:
4) 6/20 × 100 = 30%
5) Change mixed numbers to fraction. So you're getting 58/7 - 17/3. LCM = 21
= 174 - 119 / 21
= 55 / 21
6) Change to fraction
8/3 ÷ 1/6
= 8/3 × 6/1
= 16
(−5x2+4x−2)+(−8x2+2x+1)
Answer:-13x2+6x-1
Step-by-step explanation: I think
3. Baskin Robbins has a new 3-gallon container of
chocolate chip ice cream. If Baskin Robbins sold
gallon on Monday, how much of the chocolate chip
Ice cream was left at the end of the day, in gallons?
muy
Expression
3 Gallons
hi i need help fastttttttttttttt
Answer:
Step-by-step explanation:
1) 9,06
2) 85,3018
3) 0,052121
4) 0,917123
5) 17,9807
6) 2267,96
7) 169,07
8) 0,211338
Answer: 1) 9,06
2) 85,3018
3) 0,052121
4) 0,917123
5) 17,9807
6) 2267,96
7) 169,07
8) 0,211338
Step-by-step explanation:
This answer should be correct but isn’t any ideas?
Answer:
f = 6 cm
g = 8 cm
Step-by-step explanation:
ABCD f*g = 48
ABCE f*g + 1/2 (4*f) = 60
48 + 2f = 60
2f = 12
f = 6
g = 48/6 = 8
need help asap!!!!!!!
Answer:
Poop
Step-by-step explanation:
A carpenter is building a rectangular shed with a fixed perimeter of 54 ft. What are the dimensions of the largest shed that can be built? What is its area?
Answer:
the Largest shed dimension is 13.5 ft by 13.5 ft
Largest Area is 182.25 ft²
Step-by-step explanation:
Given that;
Perimeter = 54 ft
P = 2( L + B ) = 54ft
L + B = 54/2
L + B = 27 ft
B = 27 - L ------------Let this be equation 1
Area A = L × B
from equ 1, B = 27 - L
Area A = L × ( 27 - L)
A = 27L - L²
for Maxima or Minima
dA/dL = 0
27 - 2L = 0
27 = 2L
L = 13.5 ft
Now, d²A/dL² = -2 < 0
That is, area is maximum at L = 13.5 using second derivative test
B = 27 - L
we substitute vale of L
B = 27 - 13.5 = 13.5 ft
Therefore the Largest shed dimension = 13.5 ft by 13.5 ft
Largest Area = 13.5 × 13.5 = 182.25 ft²
slope of and a y-intercept of :−56
Answer:
Step-by-step explanation:
your questions may have left out what the slope is.. but.. what ever it is.. just use m = ( your number )
and plug it into this slope-intercept formula [ y = mx +b }
y = mx -56 .. just plug your slope into the variable m
Please help. :))))))
Answer:
6 because 9 is the length and you only do length times height and 54 divided by 9 is 6 therefore the height is 6
Answer:
6units
Step-by-step explanation:
A=bh
54units^2=9*h
h=54/9
h=6units
which of the following relationships does NOT make r || s?
please tell me what a term is
A term is a single mathematical expression. It can be a number, a variable, several variables that have to be multiplied or sometimes have variables with a number in front (coefficient).
3 2/5 times 3/4??
2 1/3 times 3 4/6??
Answer:
i have the answer for the first one, it is 2.55. hope this helps!!
Step-by-step explanation:
y is inversely proportional to x . When y = 30 , x = 3 Work out x when y = 6
Step-by-step explanation:
yx = k, where k is a real constant.
When y = 30, x = 3.
=> k = (30)(3) = 90.
Hence when y = 6, x = k/y = (90)/(6) = 15.
algebraic expression.
23 less than a number
plz help
Answer:
n-23
Step-by-step explanation:
hope that helps
If 2 quarts of paint are needed for 75 ft of fence, how many quarts are needed for 900 ft of fence
Answer:
24 quarts
Step-by-step explanation:
1 qrt = 75/2 = 37.5
900 / 37.5 = 24
Evaluate 3x-5y when x=5 and y=1
Answer:
10
Step-by-step explanation:
Place it in.
3(5)-5(1)
15-5
10
Movie tickets cost $6 for adults and $2 for children under the age of 12. If 175 movie tickets were sold with cash receipts of $750, how many children’s tickets were sold?
Answer:
75 child tickets and 100 adult tickets were sold.
Step-by-step explanation:
Given that adult tickets cost $ 6 and children's tickets cost $ 2, knowing that 175 tickets were sold for $ 750, to determine how many child tickets were sold the following calculation must be performed:
2 x 175 = 350
750 - 350 = 400
6 - 2 = 4
400/4 = 100
175 - 100 = 75
100 x 6 = 600
75 x 2 = 150
Therefore, 75 child tickets and 100 adult tickets were sold.
Paralell to the line y=3x + 5 and has a y-intercept of -1
Step-by-step explanation:
Everything the parallel lines has the same slope
[tex]y = mx + b[/tex]
m = slope
b = y intercept
then the equation of the line is:
[tex]y = 3x - 1[/tex]
Please Help will get brainliest. click image
I do not know... I'm sorry...
What is the constant of proportionality for the table below?
Answer:
38
Step-by-step explanation:
Evaluate the expression when x = 3 and y = 5.
1: 2xy
2: 6y divided by x
3:4y- x
4:Y(to the power of two) -7x +2
Step-by-step explanation:
x = 3 and y = 5.
1: 2xy
2 x 3 x 5
=30
2: 6y divided by x
6 x 5 / 3
30/3
=10
3:4y- x
4 x 5 -3
20-3
=17
4:Y(to the power of two) -7x +2
5^2 -7 x 3 + 2
25-7x3+2
25-21+2
25-19
=6
help me pls! I will give brainleist if correct. omgawd! pls can anyone help meh?
Answer:
11 3/4 = y ÷ 6 1/4Step-by-step explanation:
The required equation is translated as:
11 3/4 = y ÷ 6 1/4In the 2006 season, Tom Brady threw for 3,529
yards. In the 2007 season, he threw for 2,806
yards. What is the percentage decrease
Answer:
59.02%
Step-by-step explanation:
SO SORRY THAT THIS IS LATE anyway what you is minus the biggest number by the smallest number which would be 3,529 - 2,806 = 723
BECAUSE 3,529 is the original number you would do 723 / 3,529 = 0.5902521
then you would times that number by 100
0.5902521 x 100 = 59.02%
hope this helps
Is either x=9 or x=15 a solution to x-3=12?
A. x= 9 is a solution, but x =15 is not
B. they are both solutions
C. x=15 is a solution, but x=9 is not
D. neither is a solution
Answer:
It's 15
c. x=15 is a solution but x=9 is not
Step-by-step explanation:
15-3=12
9-3=6
Which of the following is 3x²/12x simplified?
3x/12
x/4
x/3
x²/4x
Answer:
I think it is the last one
Step-by-step explanation:
2x -6x2 -7 write the polynomial in standard form
Answer: It would be 2x-19
Step-by-step explanation:
n − 32 5 = 10 help plz
Answer:
n=335
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here you go mate
Step 1
n − 325 = 10 equation
Step 2
n − 325 = 10 simplify by adding 325 to both sides
Answer
n=335
Can someone please explain this real quick so I can get a better understanding on this? My teacher didn't do a good job..
Answer:
[tex]\ \\ \\ \sqrt{113}=c[/tex]
Step-by-step explanation:
Use the Pythagorean theorem as the triangle is a right triangle (90 degree angle is present)Your formula is set as
[tex]a^{2}+b^{2}= c^{2} \\\\7^{2}+8^{2}= c^{2} \\\\64+49= c^{2} \\\\113=c^{2\\\\\\\\\[/tex]
a rock is thrown into a pond from a bridge above. The path the rock follows can be modeled by the equation h = - 16t^2 +44t + 12, where t is time and h is the height of the rock. Which of the following expressions is equivalent to this expression?
Ans
Step-by-step explanation:i dont know