Could you have a polynomial with solutions 2i and 5i? If not explain why not. If yes, then construct the polynomial.

Step-by-step explanation:

x varies directly with y,

x = ky

When x = 3 and y = 27 ,

3 = k*27

k = 3/27 = 1/9

Answer:

I dont know

Step-by-step explanation:

Answer:

[tex]\boxed{\boxed{\sf \frac{5}{4} \:\: or\:\: 1.25}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{10}{14}\div \cfrac{4}{7}[/tex]

Apply fraction rule:

[tex]\boxed{\sf \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}}[/tex]

[tex]\longmapsto\sf \cfrac{10}{14}\times \cfrac{7}{4}[/tex]

[tex]\longmapsto\sf \cfrac{10}{14}[/tex]

Factor numbers:

[tex]\longmapsto\sf \cfrac{2\cdot \:5}{2\cdot \:7}[/tex]

Cancel comment factor: 2

[tex]\longmapsto\sf \cfrac{5}{4}[/tex]

____________

[tex]\longmapsto\sf \cfrac{5}{7}\times \cfrac{7}{4}[/tex]

Cross:

Cancel 7:

[tex]\longmapsto\sf \cfrac{5}{4}[/tex]

or

[tex]\longmapsto\sf 1.25[/tex]

______________________________________

Statistical tests are used to tell stories from data. However, they lack the scientific backing which might be used to establish a cause-and-effect theory. Hence, the 'significant' variable should not be used to decide where to live.

The presence of lurking or confounding variables are capable of causing spurious relationships between variables.

Major League ball parks seems to be prone to more social activities and nightlife which might lead to possible discourse between couples.

Hence, the 'significant' variable should not be used to decide where to live.

Learn more : https://brainly.com/question/25496663

Answer:

The answer to your question is (7.5.4

Answer:

-d - 9 < 1.5

Step-by-step explanation:

In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]

-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.

[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]

Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]

Nope! -23 is not greater than 1.5. Let's try the last one.

[tex]14-9<-1.5?\\5<-1.5?[/tex]

And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.

−d−9<1.5 inequality is true when the value of d is 14.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

We have to check the inequality which is true for d when it is 14.

−d−9>−1.5

-14-9>-1.5

-23>-1.5

The first option is false.

−d−9<1.5

-23<-1.5

So the inequality −d−9<1.5 is true for d=14.

−d−9>1.5

-23>1.5

The inequality is false.

d−9<−1.5

14-9<-1.5

5<-1.5

The inequality is false.

Hence, −d−9<1.5 inequality is true when the value of d is 14.

To learn more on Inequality click:

https://brainly.com/question/28823603

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Answer:

x = 2

Step-by-step explanation:

These are known as alternate exterior angles. These types of angles are equal to each other.

[tex]8x-7=2x+5\\6x-7=5\\6x=12\\x=2[/tex]

Applying the integral formula, it is found that the expected number of coupons a customer will use is of 1.83.

The probability density function is given by:

[tex]f(x) = \frac{4x + 3}{27}, [0,3][/tex]

The integral formula for the expected value is:

[tex]E(x) = \int_0^3 xf(x) dx[/tex]

Hence, applying the formula for f(x) given in this problem, the expected number of coupons a customer will use is:

[tex]E(x) = \int_0^3 \frac{4x^2}{27} + \frac{x}{9} dx[/tex]

[tex]E(x) = \frac{4x^3}{81} + \frac{x^2}{18}|_{x = 0}^{x = 3}[/tex]

[tex]E(x) = 1.83[/tex]

The expected number of coupons a customer will use is of 1.83.

A similar problem, which also involves the calculation of the expected value via integral, is given at https://brainly.com/question/14263236

Answer:

68/3 in decimal also Know as 22.67

explanations:

STEP 1: you first of all convert to a fraction 7 2/5=107/15

STEP 2: so the next one 5 2/3 = 17/3

STEP 3: so the next one 9 13/15= 148/15

so after that we add all the answers from step 1-3

which is : 107/15 + 17/3 + 148/15= 68/3.

hope you understand with this few explanations of mine .

pls follow.

thanks.

Answer:

x²+9x+18

Step-by-step explanation:

Answer:

1 Gallon per 6 days

Step-by-step explanation:

1/2 *2 = 1

3*2 =6

Answer:

1/6 Gallons of Milk per Day

Step-by-step explanation:

1/2 / 3 = 1/6

r = -6

Step-by-step explanation:

The slope of a line is defined as

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

Let [tex]P_1(-4, 2)[/tex] and [tex]P_2(4, r)[/tex]. Since m = -1, we can write

[tex]-1 = \dfrac{r - 2}{4 - (-4)} \Rightarrow -1 = \dfrac{r - 2}{8}[/tex]

or

[tex]r - 2 = -8 \Rightarrow r = -6[/tex]

Answer:

She attempt 1,000 free throws

Step-by-step explanation:

X • 0.2 = 200

X = 200/0.2

X = 1,000

The probability that Ethan does NOT have computer science homework is 0.3

From the information given:

However, in probability, the sum of all event outcomes is always equal to 1.

∴

[tex]\mathbf{P(A) + P(A^c) = 1}[/tex]

where;

Thus;

[tex]\mathbf{ P(A^c) = 1- P(A)}[/tex]

[tex]\mathbf{ P(A^c) = 1- \dfrac{7}{10}}[/tex]

[tex]\mathbf{ P(A^c) =\dfrac{10 -7}{10}}[/tex]

[tex]\mathbf{ P(A^c) =\dfrac{3}{10}}[/tex]

[tex]\mathbf{ P(A^c) =0.3}[/tex]

Therefore, we can conclude that the probability that Ethan does NOT have computer science homework is 0.3

Learn more about probability here:

https://brainly.com/question/11234923?referrer=searchResults

Answer:

x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]

Step-by-step explanation:

Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.  

Equation 1:   3y - 6x = 7

Equation 2:  -4y - 3x = 9          

(-2)(-4y - 3x) = 9 (-2)

8y + 6x = -18

  8y + 6x = -18

+ 3y - 6x = 7

11y = -11

[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]

y = -1

-4(-1) - 3x = 9      

    4 - 3x = 9

    4 - 4 - 3x = 9 - 4

   - 3x = 5

[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]

[tex]x = - \frac{5}{3}[/tex]

Verify whether the values for x and y are correct by substituting their values into both equations:

x = -5/3, y = -1

Equation 1:   3y - 6x = 7

[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]  

-3 + 10 = 7

7 = 7 (True statement).

Equation 2:  -4y - 3x = 9          

-4(-1) - 3 (-5/3)  = 9          

[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]

4 + 5 = 9

9 = 9  (True statement).

Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.  

Answer:

x = 7

Step-by-step explanation:

These angles are corresponding angles which mean that they're equal to each other:

7x - 4 = 5x + 10

7x - 5x = 10 + 4

2x = 14

x = 14/2

x = 7

Answer:

2,300

Step-by-step explanation:

the number in the tens digit is less than 5 so the 3 in the hundreds place does not round up.

Answers:

A. -11÷4

B. 11 ÷ (-4)

D. -11/4

E. 11/-4

Reasoning:

      In a fraction, it doesnt matter where the negative is. Since we have a single negative sign, our answer must also have a single negative. (2 negative signs will cancel each other out.)

Answer:

X=33

Step-by-step explanation:

Hope this helps!!!

Answer:

Step-by-step explanation:

The up sloping line rises one unit for every one unit increase of x

m = Δy/Δx = 1/1 = 1

Its y intercept is (0, 5)

y = mx + b

y = 1x + 5

y = x + 5

The down sloping line drops six units for every four unit increase of x

m = Δy/Δx = -6/4 = -1.5

Its y intercept is (0, -5)

y = mx + b

y = -1.5x + (-5)

y = -1.5x - 5

we can verify the common intersection point by entering x = -4 into each equation

y = -4 + 5

y = 1

y = -1.5(-4) - 5

y = 6 - 5

y = 1

Work Shown:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\\\26 = n(A) + 16 - 5\\\\26 = n(A) + 11\\\\n(A) + 11 = 26\\\\n(A) = 26-11\\\\n(A) = 15\\\\[/tex]

Step-by-step explanation:

the function is

x² - 10x + 9

the x value for the axis of symmetry of a quadratic equation is

ax² + bx + c

x = -b/(2a)

in our case

a = 1

b = -10

x = - -10/2 = 10/2 = 5

x=5 is the axis of symmetry.

for the vertex we need also the y :

y = 5² - 10×5 + 9 = 25 - 50 + 9 = -16

the vertex is

(5, -16)

Answer:

the third answer is correct

Step-by-step explanation:

the starting point is 2 and it goes up by 3

Answer:

it’s c

Step-by-step explanation:

Answer: C

sajnjfsabfyavfbysa

Answer:

Step-by-step explanation:

choose a number for example 20

20-5=15

15x2=30

Answer:

Graph 1 is the answer

To factor, we need to find out which 2 numbers add up to -10 and multiples to be 21.

The factors of 21 are 1, 3, 7, 21.

From there, we can conclude that -3 + -7 = -10 and -3 * -7 = 21

Hence when you factor the expression, you get:

(x-3)(x-7)

A population of 32,000 with a 5% annual growth rate would be modeled by the equation:

y=32000(1.05)t

with t in years.