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Answer:

work is shown and pictured

The factor of the equation x² - 9x + 14 is,

⇒ (x - 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x² - 9x + 14

Now, We can find the factor of the expression as;

⇒ x² - 9x + 14

⇒ x² - 7x - 2x + 14

⇒ x (x - 7) - 2 (x - 7)

⇒ (x - 7) (x - 2)

Thus, The factor of the equation x² - 9x + 14 is,

⇒ (x - 2)

Learn more about the mathematical expression visit:

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Answer:24y

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

2 parents are required

Step-by-step explanation:

Answer:

semen.............

Answer:

[tex]t=\frac{183-160}{\frac{12}{\sqrt{25}}}=9.58[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=25-1=24[/tex]  

And the p value would be:

[tex]p_v =P(t_{(24)}>9.58)\approx 0[/tex]  

Since the p value is very low at any significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 160

Step-by-step explanation:

Information provided

[tex]\bar X=183[/tex] represent the sample mean

[tex]s=12[/tex] represent the sample standard deviation

[tex]n=25[/tex] sample size  

[tex]\mu_o =160[/tex] represent the value to test

[tex]\alpha=0.05[/tex] represent the significance level

t would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to verify if the true mean is greater than 160, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 160[/tex]  

Alternative hypothesis:[tex]\mu > 160[/tex]  

The statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info we got:

[tex]t=\frac{183-160}{\frac{12}{\sqrt{25}}}=9.58[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=25-1=24[/tex]  

And the p value would be:

[tex]p_v =P(t_{(24)}>9.58)\approx 0[/tex]  

Since the p value is very low at any significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 160

Answer:

The price p could be any of $8 or $15 .

Step-by-step explanation:

The equation is a relationship between the numbers of pencil sharpener x can sell each week and the price of each sharpener p.

x = 2300 - 100p

xp = 12000

therefore,

x = 12000/p

insert the value of x in the equation

x = 2300 - 100p

12000/p = 2300 - 100p

12000/p + 100p - 2300 = 0

multiply through by p

12000 + 100p² - 2300p = 0

100p² - 2300p + 12000 = 0

divide through by 100

p² - 23 + 120 = 0

Find the number that we can multiply to give 120 and add to give - 23. The number are -15 and - 8.

p² - 8p - 15p + 120 = 0

p(p - 8) - 15(p - 8) = 0

(p - 8)(p - 15)

p = 8 or 15

x = 2300 - 100p

x = 2300 - 100(8)

x = 2300 - 800

x = 1500  pencil sharpener sold

or

x = 2300 - 100(15)

x = 2300 - 1500

x = 800 pencil sharpener sold

The price could be any of $8 or $15 .

Answer:

5-i

Step-by-step explanation:

Product=multiplication

Let the complex number=x

(3+2i)*x=17+7i

x=17+7i / 3+2i

x=(17-7i)*(3-2i)/(3+2i)*(3+2i)

=51-34i+21i+14i^2 / 9+6i+6i+4i^2

=51+13i+14i^2 / 9+12i+4i^2

= (51+14 - 13i) / 13

= (65 -13i) / 13

= 65 / 13 - 13 i / 13

= 5 - i.

Answer:

-12

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

2x = 3x - 20 add like terms

x = 20 and angle l is equal to 3x minus 20 so 3 × 20 - 20 = 40°

Answer:

Step-by-step explanation:

The sum of two perfect cubes breaks down into two factors, the first is the sum of their cube roots, and the second is made up of the square of the first root minus the product of both roots plus the square of the second root.

The difference of two perfect cubes is decomposed into two factors, the first is the difference of their cube roots, and the second is made up of the square of the first root plus the product of both roots plus the square of the second root.

Answer:

2.5

Step-by-step explanation:

[tex]9(u-2)+1.5u=8.25 \\\\9u-18+1.5u=8.25\\\\10.5u-18=8.25\\\\10.5u=26.25\\\\u=2.5[/tex]

Hope this helps!

Answer:

(-2)+(-5) = -7

Step-by-step explanation:

-2 + -5 = -7

but negative PLUS a negative equals a negative so the answer is going to be a negative, and just to keep in mind in the future that a negative PLUS a negative will give us a negative and negative TIMES a negative gives us a positive, and a positive PLUS a positive gives us a positive and a positive TIMES a positive gives us a positive and Negative times a positive equals a negative and negative PLUS a positive find the sum take the absolute value of each integer and then subtract the values.

The answer is -7 hope this helped! :)

Answer:

-7

Step-by-step explanation:

they add upp because they both negative

Answer:

81%

Step-by-step explanation:

22+5=27

22/27

Answer:

Step-by-step explanation:

From the given data:

The row percentage can be determined by: taking each box in each row and by dividing it with its total on that line, after that we will multiply it by 100 to get the result of it's equivalent percentage.

Table reconstruct the table from the question ; we have:

                y                

x              Yes          No              Total

Low           20         10                  30

Medium     15          35                 50

High           20           5                  25

Total          55           50                105

For Low; the total on the row is 30 ;

so for Yes: we have 20/30 × 100 = 66.7

for No ; we have 10/30 × 100 = 33.3

For Medium ; the total on the row is 50 ;

so for Yes: we have 15/50 × 100 = 30

for No ; we have 35/50 × 100 = 70

For High  ; the total on the row is 25;

so for Yes: we have 20/25 × 100 = 80

for No ; we have 5/25 × 100 = 20

                y                

x              Yes          No              Total

Low           66.7     33.3                100

Medium     30        70                  100

High           80       20                   100

b. The construction of a sketch percentage of the frequency bar chat with x on horizontal axis is shown in the attached file below.

Answer:

The average would be 42 / 28 = $1.50 / day.

Answer:

$1.50 per day

Step-by-step explanation:

Take the dollar amount and divide by the number of days

42 dollars / 28 days

1.50 dollars per day

$1.50 per day

Answer:2

Step-by-step explanation:

3y+ 7= 13

3y= 13 - 7

3y= 6

Y = 6/3

Y= 2

Answer:

A=36

B=36

C=108

Step-by-step explanation:

A =B

2A+C=180

C is greater than A

2A+(A+72) =180

SIMPLIFY

3A +72=180

-72 ON BOTH SIDES

3A=108

DIVIDE BY 3

A=36

SO

B=36

36 TIMES 2 IS 72

180-72=108

SO

C=108

hope this helps

Answer:

Angle C= 108

Angles A and B=36

Step-by-step explanation:

180-72=108

108-72= 36

Check

36+36=72

72+108=180

Answer: see below

Step-by-step explanation:

To find a coterminal angle, add or subtract 360° to the given angle as many times as needed to get a positive or negative angle.

I should mention that there are an infinite number of answers!

4) 400°

I can subtract 360° to get a positive angle of 40°

I can subtract another 360° to get a negative angle of -320°

5) -360°

I can subtract 360° to get a negative angle of -720°

I can add 360° twice to get a positive angle of 360°

6) -1010°

I can add 360° to get a negative angle of -650°

I can add 360° another 3 times to get a positive angle of 720°

7) 567°

I can subtract 360° to get a positive angle of 207°

I can subtract another 360° to get a negative angle of -153°

8) -164°

I can subtract 360° to get a negative angle of -524°

I can add 360° to get a positive angle of 194°

9) 358°

I can subtract 360° to get a negative angle of -2°

I can add 360° to get a positive angle of 718°

Answer:

C (0, 10)

Step-by-step explanation:

The point E is (x,y)

The point F is (12,-6).

The midpoint between E and F is M(6,2).

Midpoint

Is the mean between the points of E and F.

x

[tex]\frac{x + 12}{2} = 6[/tex]

[tex]x + 12 = 12[/tex]

[tex]x = 0[/tex]

y

[tex]\frac{y - 6}{2} = 2[/tex]

[tex]y - 6 = 4[/tex]

[tex]y = 10[/tex]

So E(0, 10), which means that the correct answer is C.

Answer:

[tex]y=300(1+0.16)^x[/tex]

Step-by-step explanation:

 [tex]A= P(1+r )^t[/tex]

Where

A =final amount  = y

P=initial principal balance = $300

r=interest rate  = 16%= 0.16

t=number of time periods elapsed= x

Hence the equation to model his account balance/ final amount A (y) after time (x) years is

[tex]y=300(1+0.16)^x[/tex]

Step-by-step explanation:

20fruits=100%

5fruits=?

5x100/20 5fruitsx5%

=24%

Answer:

2±√13

Step-by-step explanation:

9/x=x-4

x² -4x - 9=0

x² -4x +4- 13=0

(x -2)²=13

x-2= ±√13

x= 2±√13

Answer:

I made is clear for you, now you may match each one

Step-by-step explanation:

f(1)= 11, f(n)= 3*f(n-1)

⊕ middle

f(1)= -18, f(n)= f(n-1)+21

f(1)= -18, f(n)= f(n-1) + 22

f(1)= -18, f(n)= 2*f(n-1)

⊕ bottom

f(1)= -18, f(n)= 6*f(n-1)

⊕ top

f(1)= 11, f(n)= f(n-1) + 22

Answer:

B. (f - g)(x) = -3x² - x - 4

Step-by-step explanation:

→Set it up like so:

(-4x² - 6x - 1) - (-x² - 5x + 3)

→Distribute the -1 to (-x² - 5x + 3):

-4x² - 6x - 1 + x² + 5x - 3

→Add like terms (-4x² and x², -6x and 5x, -1 and -3):

-3x² - x - 4

Answer:

[tex]n = - 3[/tex]

Second answer is correct

Step-by-step explanation:

[tex]11(n - 1) + 35 = 3n \\ 11n - 11 + 35 = 3n \\ 11n - 3n = 11 - 35 \\ 8n = - 24 \\ \frac{8n}{8} = \frac{ - 24}{8} \\ n = - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

16

Step-by-step explanation:

The right triangle shown is a 30:60:90 triangle.

30:60:90 right triangles have a 1:sqrt(3):2 ratio between their sides.

Since the side opposite from the 30 degree is 8, and x is opposite from the 90 degree angle, 8 and x have a 1:2 ratio, or 8:16.

Answer:

Step-by-step explanation:

The value of y in the (x, y) pair must be 3 times the value of x if the point is to be on the line. That is the case for points A, D.