7. What is the value of y in the diagram shown to the right?
A 22.36068
B. 64
C. 84
D. 104

Answer:

The correct option is;

D. (x - 5)·(x + 2)·(x + 1)

Step-by-step explanation:

The Rational Root theorem is expressed mathematically as follows;

[tex]Possible \ rational \ roots = \dfrac{Factors \ of \ the \ constant \ term}{Factors \ of \ the \ leading \ coefficient}[/tex]

The given polynomial is presented as follows;

x³ - 2·x² - 13·x - 10

A factor of the polynomial = (x + 1)

The factors of the constant term, -10 = -10, -5, -2, -1, 10, 5, 2, and 1

The factors of the leading coefficient, (the coefficient of the variable having the highest degree or power, x³) = 1

Given that (x + 1) is a known factor, the other two factors are either (x + 5) and (x - 2) or (x - 5) and (x + 2)

The option, that combines (x + 1) and the other two factor combination is (x - 5)·(x + 2)·(x + 1)

∴ The solution which meets the condition is (x - 5)·(x + 2)·(x + 1)

We check;

(x - 5)·(x + 2)·(x + 1)  = x³ - 2·x² - 13·x - 10

Answer:

i think it is A

Step-by-step explanation:

width x base x height

<3

Answer:

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

Answer:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360, making a total of 24 divisors. 360 is a highly composite number.

Step-by-step explanation:

23 × 32 × 5

Answer:

54

Step-by-step explanation:

Answer:

54 degrees

Step-by-step explanation:

Assuming one angle is 90 degrees , 36 + 90 = 126

A triangle sums up to 180 degrees so:

180 -126 = 54

Answer:

try using the app "photomath" or the website "wolframalpha. c0m"

i feel bad that im not answering any but have a good dayyy! i really hope this helped

The height of the hill is 520 ft

The height of the hill, h the length of the road, L and the ground form a right angled triangle with length of the road as the hypotenuse side and the height of the hill as the opposite side to the angle the road makes with the horizontal, Ф.

Now, from trigonometric ratios,

sinФ = h/L

Making h subject of the formula, we have

h = LsinФ

Since L = 2500 ft and Ф = 12°, thus

h = LsinФ

h = 2500 ft × sin12°

h = 2500 ft × 0.2079

h = 519.78 ft

h ≅ 520 ft to the nearest foot

So, the height of the hill is 520 ft

Learn more about height of hill here:

https://brainly.com/question/24219606

The solution is:

Number of students who like only tennis and football = 2

Number of students who like only tennis and baseball = 5

Number of students who like only baseball and football = 12

The intersection of two sets is the set of all those elements which are common to both of the sets.

here, we have,

Solution:

Let students who likes tennis be represented by set T.

Let students who likes football be represented by set F.

Let students who likes baseball be represented by set B.

Given that

Number of students who likes tennis that is n(T) = 18

Number of students who likes football that is n(F) = 25

Number of students who likes tennis and football = n( T ∩ F ) = 10

Number of students who likes tennis and baseball = n( T ∩ B ) = 13

Number of students who likes football and baseball = n( F ∩ B ) = 20

Number of students who likes all three sports = n(T ∩ F ∩ B ) = 8

Number of students who likes none of the sports = 9.

Determining number of students who like only tennis and football:

number of students who like only tennis and football = Number of students who likes tennis and football - Number of students who likes all three sports

so number of students who like only tennis and football

= n( T ∩ F ) - n(T ∩ F ∩ B )  

= 10 – 8

= 2

Determining number of students who like only tennis and baseball:

number of students who like only tennis and baseball = Number of students who likes tennis and baseball - Number of students who likes all three sports

so number of students who like only tennis and baseball

= n( T ∩ B ) - n(T ∩ F ∩ B )  

= 13 – 8

= 5

Determining number of students who like only baseball and football:

number of students who like only baseball and football = Number of students who likes baseball and football - Number of students who likes all three sports

so number of students who like only baseball and football

= n( B∩ F ) - n(T ∩ F ∩ B)  

= 20 – 8

= 12

Summarizing the result :

number of students who like only tennis and football = 2

number of students who like only tennis and baseball = 5

number of students who like only baseball and football = 12.

To learn more on intersection click:

brainly.com/question/12089275

#SPJ2

complete question:

In a survey of students about favorite​ sports, the results include 18 who like​ tennis, 25 who like​ football, 10 who like tennis and​ football, 13 who like tennis and​ baseball, 20 who like football and​ baseball, 8 who like all three​ sports, and 9 who like none of the sports. How many students like only tennis and​ football? How many students like only tennis and​ baseball? How many students like only baseball and​ football?

Answer:

the negative of 255 is just -255

Answer:

parallel  bc they have same gradient

Step-by-step explanation:

Answer:

what's the question? ..

Answer:

My day has been trash so far.

Step-by-step explanation:

I was supposed to go to a meeting with my counselor and principal because of my terrible lack of motivation but no one showed up. I was also supposed to sign up for therapy because I'm depressed but no, it did not work. I woke up to my parents fighting and wanted to get something to eat until I remembered that I'm fat. The whole time I'm thinking about the boy I love, he left me. I seriously don't wanna be here or deal with any of this. Earth and humans are full of c.rap and I'm sick of it.

Thanks for asking tho

I hope your day has been great

Answer:

5

Step-by-step explanation:

The value 0.014 was multiplied by has 5 zeros. So the decimal point would move 5 places to the right

Answer:

42 reds.

Step-by-step explanation:

There are 72 marbles in the bag.

P(Red) = 1 - Blue = 1 - 5/12 = 7/12

P(red) = 7/12 * 72 = 42

If 1 - 5/12 confuses you, then find the blue first

5/12 * 72 = 5 * 72/12 = 5 * 6 = 30

The rest must be red.

72 - 30 = 42

Answer:

for triangle ABC side AC is 13         and for triangle DEF side ED is 24

Step-by-step explanation:

Answer:

y = 5x - 6

Step-by-step explanation:

9 gallons of gasoline would cost 30.33

9 x 3.37=30.33 you just have to multiply the gas by the gallons and then that will give you your answer

Answer:

a. 100 m

b. 900 m

c. 5,100 m

d. 8,800 m

e. -650 m

Step-by-step explanation:

Answer:

7/6 or 1 1/6

Step-by-step explanation:

Answer: A

Step-by-step explanation:

r = j + 3

We subtitube r to find j,

r = 9          j = 9 + 3 = 12

r = 15         j = 15 + 3 =18

r = 21         j = 21 + 3 = 24    

And we found A as answes.

Answer:

Step-by-step explanation:

Table C is the correct one

Answer:

24 Jars

Step-by-step explanation:

Do 16/2, which gives you eight for every necklace. Then do 192/8 which would give you 24. So, she would need 24 jars for 192 necklaces.

Answer:

16÷2=8

8÷192=24

its 24

all you have to do is divide the 16 and 2 to see how many is in each jar and how much they have done then just just divide that number with 192.

Answer:

True!

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Let's use 5 for example as "x". 5-6 is -1 and 6-5 is 1. So yes, it does change. It is different.

Answer: 85

Step-by-step explanation: 15 × 6= 90 - 5=  85

Answer:12

Step-by-step explanation:

The prime of 96 is 12

Answer:2 5 · 3

Step-by-step explanation: