9. Find the zero of the polynomial in each of the following
i)f(x) = 3x- 5

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

Answer:

mean = 85, standard deviation = 3.5

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.

From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.

σ = standard deviation, μ = mean

Hence; μ ± 2σ = (78, 92)

μ - 2σ = 78       (1);  

μ + 2σ = 92       (2)

Adding equation 1 and 2, gives 2μ = 170

μ = 85

μ - 2σ = 78

85- 2σ = 78

2σ = 7

σ = 3.5

Answer:

Step-by-step explanation:

(b - c)/b * (b+c)/b  Notice how the second fraction is inverted and multiplied. That's how you handle a 4 tier fraction. Here's a simpler example

[tex]\frac{\frac{2}{3} }{\frac{4}{5} } = \frac{2}{3} * \frac{5}{4}[/tex]

What you get with your problem is

(b^2 - c^2)/b^2

Answer:

A. 20.81 mph

Step-by-step explanation:

x = speed of the boat in still water.

one part of the trip is 10 miles downstream, where the speed of the boat and the speed of the current add together.

and the other part of the trip is the trip back the 10 miles upstream, where the speed of the current works against the speed of the boat :

10/(x + 15) + 10/(x - 15) = 2

10 + 10×(x+15)/(x-15) = 2×(x+15)

10×(x-15) + 10×(x+15) = 2×(x+15)×(x-15)

20x = 2×(x² - 225)

10x = x² - 225

0 = x² - 10x - 225

solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac)) / (2a)

a = 1

b = -10

c = - 225

(10 ± sqrt(100 - 4×1×-225)) / 2 =

= (10 ± sqrt (100 + 900)) / 2 = (10 ± sqrt(1000)) / 2 =

= (10 ± 31.62) / 2

x1 = 41.62 / 2 = 20.81 mph

x2 is negative and did not make any sense.

Answer:

C. 50 degrees

Step-by-step explanation:

Angle EDG is 90 degrees

x = 10

5 multiplied by 10 is 50

4 multiplied by 10 is 40

40+50=90

Answer:

50 = EDH

Step-by-step explanation:

We know that angle EDG is a right triangle (measures 90°). We also know that angle EDH and angle HDG make up angle EDG which is 90°. So ultimately we can state that;

EDH + HDG = EDG

 5x  +   4x  =   90

      9x = 90

        x = 90/9

        x = 10

Now that we know that value of x, we can say that;

EDH = 5x

since x = 10

EDH = 5(10)

EDH = 50

Hope this helps!

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

Check

_____

Additional comment

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

Answer:

1

Step-by-step explanation:

Basically you just need to find the square root of all of them

36=6    -1=1      9=3 .     -1=1

6-1-3-1=1

Answer:

SU

Step-by-step explanation:

The hypotenuse is opposite the right angle

The hypotenuse is US  or SU

We have to pick,

The segment which is hypotenuse,

Hypotenuse will be the opposite segment of the right angle.

Now it will be,

→ SU (or) US

Hence, SU is the hypotenuse.

Answer:

a. quadratic.

The given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

In the given polynomial p(x)=4x−2x²+3 it can be observed that the degree of the polynomial is 2 or the highest power of the variable is 2.

Therefore, the given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

To know more about quadratic polynomials follow

https://brainly.com/question/1214333

#SPJ5

Answer:

i think A is answer you should to do

Answer:

i can help you i know this question

Answer:

344064

Step-by-step explanation:

hope it is well understood

Answer:

dx/dy = y/2x

Step-by-step explanation:

-4x × dx/dy = -2y..... that's all

Step-by-step explanation:

vol: 18* 8* 5 cm³

720 cm³

hope this help

Answer:

In diffuse reflection, reflected rays move in different directions.

Step-by-step explanation:

Reflection refers to the bouncing off of light from a surface. Reflection can be regular or diffuse.

Regular reflection occurs when light bounces off a well polished surface while diffuse reflection occurs when light bounces off a rough surface.

During diffuse reflection, light is reflected in different directions.

Answer:

In scattering, long wavelengths are scattered the most.

Step-by-step explanation: took the test for Edg 21

Step-by-step explanation:

1) = {5(x+y)} - 2x

= 5x + 5y - 2x

= 3x + 5y

2)= {2(p×q)} + (p×q)

= (2p×2q)+ p×q

= 4pq + pq

= 5pq

3)= 6a + (8b + 2a)

= 8a + 8b

= 8(a+b)

4)= 3x² + ( x²+7x)

= 4x² + 7x

= x(4x+7)

Answer:

Step-by-step explanation:

72) 5*(x +y) - 2x

  = 5x + 5y - 2x  {Distributive property}

  = (5x - 2x) + 5y    {Combine like terms}

  = 3x + 5y

73) 2*(pq) + pq

   = 2pq + pq     {Combine like terms}

   = 3pq

74) 6a + (8b + 2a)

     = 6a + 2a + 8b   {Combine like terms}

    = 8a + 8b

75) 3*x² + (x² + 7x)

   = 3x² + x² + 7x   {Combine like terms}

   = 4x² + 7x

Answer:

The answer is 7/12 , 6/8 , 4/5 from least to greatest.

Answer

7/12, 6/8, 4/5

Answer:

a.

f(1)=6; f(n)=6+d(n-1), n>0

Step-by-step explanation:

We are given that

First layer has squares, a=6

Second layer has squares, a2=12

We have to find  an arithmetic explicit formula to determine the number of squares in each layer.

[tex]d=a_2-a_1=12-6[/tex]

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Substitute the value of a

Now, we get

[tex]a_n=6+(n-1)d[/tex]

f(1)=a=6

[tex]a_n=f(n)=6+d(n-1)[/tex]

Hence, option a is correct.

a.

f(1)=6; f(n)=6+d(n-1), n>0

Answer:

f(1) = 6; f(n) = 6 + d(n − 1), n > 0

Step-by-step explanation:

I took the test on flvs and got it right.

100% Guaranteed Correct :)

, Hope this helps

Have a great day!!

Answer:

+4/3

Step-by-step explanation:

-3/4 * -1 = 3/4 then flip it to 4/3

Answer:

4/3

Step-by-step explanation:

the slope of a perpedicular line is the inverse times negative one.

1)the inverse of -3/4 is -4/3

2)-4/3*-1 is 4/3

Answer:

(-2,3)

Step-by-step explanation:

For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1

Now, we can use the internal section formula to get the coordinates of this point

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where (m,n) = (2,1)

(x1,y1) = (-4,-1)

(x2,y2) = (5,5)

(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)

(x,y) = (-4-2)/3, (-1 + 10)/3

(x,y) = (-2,3)

Answer:

12 centimeters

Step-by-step explanation:

The side lengths of the triangle are: 26, 28, and 30 centimeters

a = 26 cm, b = 28 cm, c = 30 cm

To find the area, we first must find the semi-perimeter with the following equation:

s = (a+b+c)/2

  = (28+26+30)/2

  = 42 centimeters

Now, to find the area, we can use Heron's formula:

A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]

     [tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]

     [tex]\sqrt{42(14)(16)(12)}[/tex]

     [tex]\sqrt{112896}[/tex]

     336 squared centimeters

Since the area of the parallelogram is equal to the area of our triangle:

Area of Parallelogram = Area of Triangle

base ⋅ height = 336 squared centimeters

28 ⋅ height = 336 squared centimeters

height = 336/28

height = 12 centimeters

Answer:

HY = 18

Step-by-step explanation:

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , so

HY = 2 YL = 2 × 9 = 18

Answer:

3/8

Step-by-step explanation:

that is the answer

I solved it using a calculator

please give me brainliest

the answer is 3/8 because im right

Answer:

15$

Step-by-step explanation:

you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps

Answer:

a

Step-by-step explanation:

follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time

Answer: 4 bags of oranges and 3 bags of apple

Step-by-step explanation:

Each bag of oranges is 5 and 5 times 4 is 20 Each bag of apples is 3 and 3 times 3 is 9 so 20 + 9 = 29

Given:

The inequality is:

[tex]x>111[/tex]

To find:

The x-values that are the solutions to the given inequality.

Solution:

We have,

[tex]x>111[/tex]

It means all the real numbers greater than 111 are the solutions to the given inequality.

[tex]97<111[/tex], so 97 is not a solution.

[tex]101<111[/tex], so 101 is not a solution.

[tex]119>111[/tex], so 119 is a solution.

Therefore, the correct option is C.

Given:

The inequality is:

To find:

The x-values that are the solutions to the given inequality.

Solution:

We have,

It means all the real numbers greater than 111 are the solutions to the given inequality.

, so 97 is not a solution.

, so 101 is not a solution.

, so 119 is a solution.

Therefore, the correct option is C.

Step-by-step explanation:

x+3=2x-1

x-2x=-1-3

-x=-4

x=4