Find a third-degree polynomial equation with rational coefficients that has roots 4 and 6 + i.
a. x^3 - 8x^2 - 11x + 148 = 0
b. x^3 - 8x^2 - 12x + 37 = 0
c. x^3 - 12x^2 + 37x = 0
d. x^3 - 8x^2 - 11x = 0
Answer:
I would say A.
Step-by-step explanation:
What is the image point of (-6, 5) after a translation right 2 units and down 4 units?
Answer: (8, 9)
Step-by-step explanation:
Answer:
(-4, 1)
Step-by-step explanation:
Help! I will give brainiest!
Answer:
2x-5
Step-by-step explanation:
Julie pays $30 a month for her phone plus $2 for each
song she downloads. Which graph shows Jule's phone
bill based on the number of x songs she downloads?
B.
45
45
40
60
Phone Bill (dollars)
Phone Bill (dollars)
20
15
10
10
1 2 3 4 5 6 7 8 9 10
Songs Downloaded
23
6700
Songs Downloaded
C.
D
XXS
Phone Bill (dollars)
Phone Bill (dollars)
123
7910
Songs Downloaded
1 2 4 5
Songs Downloaded
Answer:
A
Step-by-step explanation:
You can look at the graph and infer that the line passes through 32 34 36 and so on
or
you can substitute y for the bill and x for the number of songs to see which graph is correct
y = 30 + 2x
For A, the line goes through 32 34 36 38 40 42 44 46 and 48
You can plug in 32 for y and 1 for x and so on
32 = 30 + 2*1 = 30 + 2
34 = 30 + 2*2 = 30 + 4
36 = 30 + 2*3 = 30 + 6
38 = 30 + 2* = 30 + 8
and so on
5x-4<4(1+x) what is the answer and how do you do it
Answer:
[tex]5x - 4 = 4 + 4x \\ 5x - 4x = 4 + 4 \\ x = 8[/tex]
Answer:
x<8
Step-by-step explanation:
5x-4<4(1+x)
= 5x-4<4+4x
= 5x-4-4x<4
=5x-4x<4+4
= x<4+4
= x < 8
first distribute the 4 into the parenthesis on the right side of the expression. next collect like terms, so move the x's to the left side and the two fours to the other side. simplify both sides to find the answer.
i hope this helps :)
a car can travel 70 miles on 5 gallons of gasoline. how much gasoline will it need to go 308 miles
Answer:
22
Step-by-step explanation:
308/70 = 4.4
4.4 * 5
The quadratic below is in standard form using the equation y=5x^2 + 3x + 6 what is the b -value
a. 6
b. 5
c. 3
d. 1
Answer: 6
Step-by-step explanation:
Answer:
c) 3
Step-by-step explanation:
HELLP I need this question
Answer:5^15
Step-by-step explanation: I am Smart :>
Answer:
[tex]5^{15}[/tex]
Step-by-step explanation:
[tex]\frac{(5^3)^9}{5^{12}} \\\\\frac{5^{27}}{5^{12}} \\\\5^{15}[/tex]
3 x 9 = 27
27 - 12 = 15
552.64 round to the nearest whole number
Answer:
553
Step-by-step explanation:
A rectangular pitcher is 3 inches wide, 9 inches long and 16 inches tall. If water is filled up to 5 inches, how much more water can be put in ther pitcher
Answer:
427
Step-by-step explanation:
Find volume
Subtract 5 inches
The difference between a snert and a snart is six. The sum of twice a snert and a snart is eighteen. How large is a snert and how large is a snart?
Answer:
The measure of a snart is 2 and that of a snert is 8.
Step-by-step explanation:
Represent the size of a snert by e and that of a snart by a.
Then e - a = 6. This assumes that e > a.
2e + a = 18. Substitute e - 6 for a, obtaining:
2e + (e - 6) = 18.
Simplifying, we get
2e + e - 6 = 18, or
3e = 24, and so
e = 8
Remembering that e - a = 6, we have 8 - a = 6. Then a must be 2.
The measure of a snart is 2 and that of a snert is 8.
Help please lol..forgot how to do this
7 + 3 (2x - 5) = 3x + 7
Answer:
x = 5
Step-by-step explanation:
Given
7 + 3(2x - 5) = 3x + 7 ← distribute parenthesis and simplify left side
7 + 6x - 15 = 3x + 7
6x - 8 = 3x + 7 ( subtract 3x from both sides )
3x - 8 = 7 ( add 8 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Help!
A 12-foot ladder leans against a building and makes an angle of 65 degrees with the ground. To the nearest foot, how far from the building is the base of the ladder?
Answer:
The foot of the ladder is 10 feet away from the base of the wall.
Step-by-step explanation:
Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder
h = 20 is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.
The foot of the ladder is 10 feet away from the base of the wall. [Ans]
answer: The foot of the ladder is 10 feet away from the base of the wall.
The foot of the ladder is 10 feet away from the base of the wall.
explanation:
Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder
h = 20 is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.
Prove that MNQ is congruent to PNQ (URGENT) help with all blanks
Answer:
In triangle QNP and QNM
3.QN=QN[common side]
so triangle QNP and QNM is CONGRUENT by A.A .S axiom.
Answer:
1. (its already filled out)
2. angle MQN = angle PQN
3. NQ=NQ
4. angle side angle
Step-by-step explanation:
checked on khan academy :)
Math Math help help help ASAP please
Answer:
a.) 10,000
b.) 512
Step-by-step explanation:
find the missing side
PLEASE HELP!!!!
Don’t click the links guys.
Answer:
Someone is bound to copy paste the links lol
Step-by-step explanation:
Find the area of the figure
simplify
(4/9) to the power of 2
 What is the volume of this cone?
Hint: Find the radius from the given diameter.
Answer:
volume = 25.1 m³
Step-by-step explanation:
volume = 1/3πr²h = 1/3(3.14)(2²)(6) = 25.1 m³
f(x) = 2x2 + 12x + 16
Answer:
[tex]x=-2;x=-4[/tex]
Step-by-step explanation:
The solution of the quadratic equation f(x) = 2x² + 12x + 16 will be negative 2 and negative 4.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
f(x) = 2x² + 12x + 16
The root of the equation will be given as,
f(x) = 0
2x² + 12x + 16 = 0
x² + 6x + 8 = 0
x² + 4x + 2x + 8 = 0
x(x + 4) + 2(x + 4) = 0
(x + 4)(x + 2) = 0
x = -2, -4
The solution of the quadratic equation f(x) = 2x² + 12x + 16 will be negative 2 and negative 4.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:
Answer:
the answer for this question is C
Step-by-step explanation:
base radius = 0.8
Height = 3.5
Volume of a cone =
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
V=1/3 x 3.14 x 0.8^2 x 3.5
V=2.3445 in^3
V= 2.34 in^3
How do I solve this?
Answer:
A,
Step-by-step explanation:
Opposites sides are equal in a rectangle.
Answer:
The answer is: "It has to be a rectangle. I measured the diagonals to be sure they were the same length."
Step-by-step explanation:
The other properties are true of a rectangle as well, but they could also be other shapes.
"It has to be a rectangle. The opposite sides are the same length."
This could also be describing a rhombus or square.
"It has to be a rectangle because it is not a square."
This could also be a rhombus, trapezoid, or even kite.
"It has to be a rectangle. I made sure that the two 8-foot boards are parallel and that the two 6-foot boards are parallel."
This can describe any parallelogram. Just because the sides are congruent and parallel does not mean that there are four 90degree angles formed.
"It has to be a rectangle. I measured the diagonals to be sure they were the same length."
This is a property of rectangle diagonals. They will always be congruent.
8. The speed of a
delivery truck
varies inversely
with the time it
takes to reach its
destination. If the
truck takes 3 hours
to reach its
destination
traveling at a
constant speed of
50 miles per hour,
how long will it
take to reach the
same location
when it travels at a
constant speed of
60 miles per hour?
2 hours
2 1/3 hours
2.5 hours
2 2/3 hours
Answer:
2.5 hours
Step-by-step explanation:
If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)
150 miles at 60 mph is 2.5 hours (150/60)
(8x2+8x)−(−9x2+8x)
I NEED STEP BY STEP don't just use a calculator.
Answer:
34
Step-by-step explanation:
(16+8x)-(-18+8x)
16-(-18)
34
Answer:
17x^2
Step-by-step explanation:
(8x^2+8x)- ( 9x^2+8x)
8x^2+8x + 9x^2-8x
17x^2
Shelia buys 33kg of rice, 9kg of cornmeal, and a certain amount of flour at the supermarket. The amount of flour bought is a third of the amount of rice bought. How much flour was bought?
Answer: 11 kg
Step-by-step explanation:
Given
Shelia buys 33 kg of rice and 9 kg of cornmeal
The amount of flour bought is one-third of the amount of rice bought
The amount of flour is
[tex]\Rightarrow \dfrac{33}{3}=11\ kg[/tex]
Find the value of x.
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
The external angle at V is half the difference of the subtended arcs:
(65° -25°)/2 = x° = 40°/2
x = 20
Hi guys! I really need help with this because im so stressed with my other classes and i need to pass this class in order to graduate. can someone help
Answer:
30
Step-by-step explanation:
For a right triangle there is a formula ---> a² + b² = c² ("c" is always the side not touching the right angle)
24² + 18² = c²
576 + 324 = c²
900 = c²
30 = c
The 3rd side is 30
Please help me answer
Answer:
C
explanation:
x = 4/3πr³
cross multiply
3x = 4πr³
cube root both side
³√3x = ³√4πr³
³√3x = ³√4π x r
divide both side by ³√4π
r = ³√3x/4π