You can write such a cubic polynomial in terms of its roots using the factor theorem:
(x - (-1)) (x - 3) (x - (-5)) = (x + 1) (x - 3) (x + 5)
Now just expand this:
(x + 1) (x - 3) (x + 5) = x ³ + (1 - 3 + 5) x ² + (-3 + 5 - 15) x - 15
… = x ³ + 3x ² - 13x - 15
Emilio represents the perimeter of the triangle with the equation
(5w - 13) + (2w + 6) + 2(5w + 15) = P, where P is the perimeter of the triangle.
Which equation is correctly solved for w?
Answer:
A
Step-by-step explanation:
1) multiply 2 for 5w and 15
5w -13 + 2w + 6 + 10w + 30 = P
2) sum the therms with w and the term without it
17w + 23= P
3) add -23 at the two terms
17w + 23 - 23= P - 23
17w = P - 23
4) divide the two terms by 17
w = (P-23)/17
213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25
Which sum or difference ls modeled by the algebra tiles? HELPPP PLEASEE ASAPPPP
Answer:
Option C / C.
(x2 + 4x − 2) − (-x2 + 2x − 4) = 2x2 + 2x + 2
Step-by-step explanation:
Joey is buying a new flat screen TV for $359.99. Sales tax in Jeoy's state is 8.25%. Calculate the amount of sales tax that Jeoy will pay for the purchase
Answer: 389.69
Step-by-step explanation:
Answer: $29.70
Step-by-step explanation:
total x tax rate= 359.99 x 8.25 = 2969.92
divide by 100% = $29.70
sales tax total: $29.70
help pleasee
look in the photo
Answer: c
Step-by-step explanation:
Because group B has Pharrell lines
find the side lengths ! help pls
(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
~
Please help me find the answer fo this!!
Answer:
÷3==533740£; ok8iejeoeoeo
When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3
Answer:
x = 1 and x = 7
Step-by-step explanation:
The given equation is [tex]x^2 - 8x + 7 = 0[/tex].
We need to solve the equation.
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = 1, b = -8 and c = 7
Put values,
[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]
So, the values of x are x = 1 and x = 7.
A laundry basket contains 9 socks, of which 3 are blue.
What is the probability that a randomly selected sock will be blue?
Write your answer as a fraction or whole number.
P(Blue) = ?
Answer:
3
Step-by-step explanation:
Please help this is due tonight
Zrób rysunek pomocniczy i oblicz miary kątów w sześciu trójkątach, które otrzymasz wykreślając dwusieczne kątów trójkąta. Kąt ABC wynosi 620 , kąt ACB wynosi 1020 .
Answer:
Zrób rysunek pomocniczy i oblicz miary kątów w sześciu trójkątach, które otrzymasz wykreślając dwusieczne kątów trójkąta. Kąt ABC wynosi 620 , kąt ACB wynosi 1020 .
Step-by-step explanation:
You have been commissioned to design a monument to Mr. Mullen. The monument consists of a pool 100 ft long where observers stand on one side of the pool and a giant statue of Mr. Mullen holding a cat stands on the other. If you want the angle of elevation from the ground to be 42 degrees, how tall must you make the statue?
a. 100 ft
b. 90 ft.
c. 111 ft
d. 67 ft
e. 74 ft
9514 1404 393
Answer:
b. 90 ft
Step-by-step explanation:
The opposite and adjacent sides of the relevant triangle are given.
Tan = Opposite/Adjacent
tan(42°) = h/(100 ft)
h = (100 ft)tan(42°) ≈ 90.04 ft
The statue must be about 90 ft tall.
Answer:
a. 100 ft
b. 90 ft.
c. 111 ft
d. 67 ft
e. 74 ft
its b.90 ft.
You have 15 bottles of coke , you drink 2 bottles a day after a certain amount of days there are 3 bottles left. Which of the following represents the day when you had 3 borrows left
Answer:
15 - 2x = 3
Step-by-step explanation:
Let x be the amount of days that have passed.
15 - 2x gives the amount at any day number x.
15 - 2x = 3 represents the day when you had 3 bottles left.
A study suggests that airlines have increased restrictions on cheap fares by raising overnight requirements (The Wall Street Journal, August 19, 2008). This would force business travelers to pay more for their flights, since they tend to need the most flexibility and want to be home on weekends. Eight months ago, the overnight stay requirements were as follows:
One night Two nights Three nights Saturday night
37% 17% 28% 18%
A recent sample of 644 flights found the following restrictions:
One night Two nights Three nights Saturday night
117 137 298 92
1. Calculate the value of the test statistic.
2. At a 5% significance level, what is the critical value?
Answer:
Test statistic X² = 150.382833
Critical value = 7.815
Step-by-step explanation:
The hypothesis
H0: true proportion = expected value
H1: at least 1 proportion not equal to expected value
Following the calculations I did in the document attached
The test statistics = 150.382833
To get critical value I used excel
Alpha = 0.05
Degree of freedom = 4-1 = 3
Critical value of X² = 7.815
The decision is to reject H0 if X² > 7.815 and agree with the alternative hypothesis. So we Reject h0 since
150.382833 > 7.815
On average the number of electronic keyboards sold in Michigan each year is 39,720, which is five times the average number of electronic keyboards sold each year in Montana. How many electronic keyboards, on average, are sold each year in Montana?
Answer:
12,588, keyboards are sold each year in Montana
The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!
*** I will make you brainiest if the answer is correct ***
Find the exact value of x
Answer:
5
Step-by-step explanation:
13. Find the measure of angle ABC. B 8x 6x 6x A С
Angle A = 54 degree
Angle B = 72 degree
Angle C = 54 degree
ExplainIt is a triangle, so the total of angle is 180 degree
Find X
8x + 6x + 6x = 180
20x = 180
x = 180/20
x = 9°
Value of x is 9°
Substitute a score of x for every angle =
Angle A
= 6x
= 6(9)
= 54°
Angle B
= 8x
= 8(9)
= 72°
Angle C
= 6x
= 6(9)
= 54°
#LearnWithBrainly
Please help me on this question! And explain how you got your answer please!
Answer:
she has a total of 140 coins
Step-by-step explanation:
x is coins in total
5/100 times x = 7
0.05 times x = 7
x = 7/0.005
x = 700/5
divide that you get 140
Answer:
Maybe 7.14285714?
Step-by-step explanation:
50% divided by 7?
I'm sorry I just guessed
2/3 x 5/9 as a fraction
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2}{3}\times\dfrac{5}{9}}[/tex]
[tex]\mathsf{= \dfrac{2\times5}{3\times9}}[/tex]
[tex]\mathsf{= \dfrac{2 + 2 + 2 + 2 + 2}{3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3}}}}[/tex]
[tex]\mathsf{= \dfrac{4 + 4 + 2}{6 + 6 + 6 + 6 + 3}}[/tex]
[tex]\mathsf{= \dfrac{8 + 2}{12 + 12 + 3}}[/tex]
[tex]\mathsf{= \dfrac{10}{24 + 3}}[/tex]
[tex]\mathsf{= \dfrac{10}{27}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{\dfrac{10}{27}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]plz help will give crown
Answer:
C
Step-by-step explanation:
Can I have crown
For a $150.000 mortgage with an interest rate of 5.5% paid over 20 years, the monthly payment is $1,031.83. After one
month, what is the balance of the loan?
Round your answer to the nearest dollar
Do NOT round until you calculate the final answer.
Answer: 149656
Step-by-step explanation:
The balance of the loan is $148,968
Using this formula
Loan balance=Mortgage amount-Monthly payment
Where:
Mortgage amount=$150.000
Monthly payment=$1,031.83
Let plug in the formula
Loan balance=$150.000-$1,031.83
Loan balance=$148,968
Inconclusion The balance of the loan is $148,968
Learn more about mortgage here:
https://brainly.com/question/22596120
Mixture Temperature (°C)
Mixture 1
3
Mixture 2
-4
Mixture 3
-1
Mixture 4
2.
In science class, Emma is measuring the temperature of different chemical mixtures. The temperatures of four
mixtures are shown in the table. Which mixture's temperature is closest to zero?
Answer:
c
Step-by-step explanation:
sheeesh 3 easy
Due today! Why did the "Martian" need a special suit to visit Earth?
Answer:
But Mars has no magnetosphere, and its atmosphere is over 100 times thinner than Earth's atmosphere. The trip to Mars and the stay on Mars will mean extended radiation exposure. Astronauts will need special habitats, suits, and machines that will protect them from radiation, which otherwise could cause cancer.
Step-by-step explanation:
A quantity with an initial value of 140 decays continuously at a rate of 4% per decade. What is the value of the quantity after 98 years, to the nearest hundredth?
(pls answer)
9514 1404 393
Answer:
93.84
Step-by-step explanation:
The exponential function will be of the form ...
q = a×b^t
where 'a' is the initial quantity and b is the growth factor per time period t.
If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...
q = 140×(1 -4%)^t
q = 140×0.96^t
98 years is 9.8 decades, so the quantity q remaining will be ...
q = 140×0.96^9.8 ≈ 93.84
The quantity remaining will be 93.84 after 98 years.
Answer:
94.6
Step-by-step explanation:
Jaime earned some money mowing the neighbor's lawn. He spent one-fourth of his money to take his friends to see a movie. Then he spent $7.00 on popcorn and drinks. When he went home, he had $71.00 left. How much did Jaime earn mowing the neighbor's lawn?
A. $13
B. $64
C. $78
D. $104
Find the volume of the composite figure.
Which points on this vertical number line best represent the locations of 2.5 and
A: G and J
B: G and K
C: H and I
D: H and J
When two parallel lines are cut by a transversal, the corresponding angles are
Question 20 options:
A)
not congruent.
B)
congruent.
C)
complementary.
D)
supplementary.
Answer
B Congruent
Step-by-step explanation:
Corresponding angles are congruent when the lines are parallel
Answer:
B) Congruent
Step-by-step explanation:
Corresponding angles are always equal to each other.
NEED HELP FAST‼️ WILL MARK B‼️‼️‼️
Triangle ABC has the following coordinates. A(6,-6), B(3,-3) and C(6,-3). What are the
coordinates of triangle A'B'C' if it is dilated with a scale factor of 4 with the origin as the center of
dilation?
Answer:
4×6=24,4×-6=-24,4×3=12,4×-3=-12,4×
6=24,4×-3=-12