factorise x squared plus 10x

Answer:

504 + 508 = 1012

Mean = 506

Step-by-step explanation:

The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount

This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

Hence, The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

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Answer:

  see attached

Step-by-step explanation:

The boundary lines are drawn by considering the relation as an equation.

The first "equation" describes a line with slope -8/3 through the y-intercept point (0, 6). Another point on that line would be 8 units down and 3 units right of (0, 6), at (3, -2). Both inequalities include the "or equal to" case, so both boundary lines are solid lines.

Since we have y ≥ ( ), the shading is above the line.

__

The second "equation" describes a line with a slope of 5/3 through the y-intercept point (0, -7). Another point would be 5 units up and 3 units right of (0, -7), at (3, -2). Since we have y ≤ ( ), the shading is below the line.

That is, the solution region is in the right-hand quadrant of the X where the lines cross. It includes the lines themselves.

Standard deviation does not mean independent events.

No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.

Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.

Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.

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Answer:

B. $2.14

Step-by-step explanation:

Given that

The price of the five supermarkets would be $1.92, $2.01,

$1.89, $2.22, and $2.16

And, each supermarket would be increased by $0.10

So, the today mean price would be

= ($1.92 + $2.01 + $1.89 + $2.22 + $2.16 + $0.10 × 5) ÷ (5)

= $10.7 ÷ 5

= $2.14

Therefore the second option is correct

Answer:

\(y = 2.25x \\ \boxed{y = \frac{9}{4} x}\)

Coordinates :---

• (x, y)

→(-2, -9/2)

→(-1, -9/4)

→(0, 0)

→(1, 9/4)

→(2, 9/2)

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Answer:

its b

Step-by-step explanation:

What sequence of transformation are we applying

Answer:

  B. use multipliers -3 and 2

Step-by-step explanation:

If you're solving the system by "addition," multiplying the equations by the chosen numbers needs to result in opposite coefficients for one of the variables.

A. The system becomes ...

No variable has opposite coefficients.

__

B. The system becomes ...

The y-variable has opposite coefficients. This is a good choice.

__

C. The system becomes ...

No variable has opposite coefficients.

__

D. The system becomes ...

No variable has opposite coefficients.

__

Additional comment

The simplest "no brainer" solution is to use the coefficients of one of the variables, negating one of them. Multiply each equation by the opposite equation's coefficient. Here, the y-coefficients are -2 and -3, and the multipliers of answer choice B are -3 and 2, consistent with this advice. (The sign of 2 was changed.)

Answer:

B.

Step-by-step explanation:

Multiply the top equation by -3 and the bottom equation by 2

-12x+6y=-21
  6x-6y= 30
 -6x     = 9         Variable "y" is removed

Hope this helps

Step-by-step explanation:

do 3 2/5 times by 7 to get ur answer

Answer:

a

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

if you go by PEMDAS you would multiply 36 & 2 which is 72 then add 16 which gives you the answer 88 . Hope this helped!! :)

Answer:

the fuel on the first car was 50 miles per gallon the  fuel on the second car was 25 miles per gallon

Step-by-step explanation:

Couldnt explain the  explation because it will be to long and i alr hade to go

62 square yards is the area of the figure.

Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape

In the given figure there are three rectangle in that two are smaller rectangles squares.

The rectangle has length of 10 yd and width of 5 yd.

Area of rectangle (Large)=10×5

=50 square yds

The side length of smaller rectangle is 3 yards and width is 2 yd

Area of rectangle (small)=3×2

6 square yds.

As there are two smaller rectangles, then area will be 2(6)=12 yards.

Now total area = 50+12

=62 square yards.

Hence, the area of the figure is 62 square yards.

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Answer:

The numbers are 12, 21.

Step-by-step explanation:

x+(x+9)=33

x+x+9=33

2x+9=33

2x=33-9

2x=24

x=24/2

x=12

--------

x+9=12+9=21

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Answer:

The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.

Step-by-step explanation:

Step-by-step explanation:

Answer: 13500%

Step-by-step explanation:

73+62=135

135 to make a percentage you would multiply 135 times 100=13500%

I think thats right

Answer:

Step-by-step explanation:

10 ^15 :10^3 =

10 ^(15-3) =

10 ^12

Answer:

The Expression: 120 + 5m

Answer:
So coordinates of B (18,-15)

Step-by-step explanation:

Given: Line coordinates P(10,-1)

A-------------------------------------------B (2,13) (x, y)The point P(x', y') divides AB in 1:1 ratio

=m:nSo from formula:x'

=(mx1 + nx2)/(m+n) and y'

= (my1+ny2)/(m+n) where (x',y')

=(10,-1), m:n

=1:1 and (x1, y1)

=(2,13), (x2,y2)=(x,y)

Put the values in the formula:

10 = 1(2)+1(x)/1+1 = (2+x)/2

=>20=2+x from cross multiplication

=>x=20-2=18 from transposition

=>x=18

-1=1(13)+1(y)/1+1 =(13+y)/2

=>-2=13+y from cross multiplication

=>y=-2-13=-15 from transposition

=>y=-15

The simplified form of the expression is (x + 3) / (x - 1), and x cannot be equal to 6 or 1, as these values would make the denominator zero.

To simplify the expression (x² - 3x - 18) / (x² - 7x + 6), we can factor both the numerator and the denominator.

The numerator factors as (x - 6)(x + 3), and the denominator factors as (x - 6)(x - 1).

Therefore, the expression simplifies to:

(x - 6)(x + 3) / (x - 6)(x - 1)

Now, cancel out the common factor of (x - 6) from both the numerator and the denominator:

(x + 3) / (x - 1)

So, the simplified form of the expression is (x + 3) / (x - 1), and x cannot be equal to 6 or 1, as these values would make the denominator zero.

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The missing variables on item 2 are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 60º, we have that:

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

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Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

The shaded region in a standard normal distributive property corresponds to values between -1 and 1, which represent 68.27% of the area under the curve.

The shaded region in a standard normal distribution corresponds to values between -1 and 1, which represent 68.27% of the area under the curve. This is because the standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. The cumulative probability of a standard normal distribution can be found using the cumulative distribution function (CDF). The CDF of a standard normal distribution is equal to 0.6827 or 68.27%. Therefore, the shaded region in a standard normal distribution represents the cumulative probability from -1 to 1, which is equal to 0.6827 or 68.27%. This means that the shaded region corresponds to 68.27% of the area under the curve. This is important to note because it indicates that the majority of values in a standard normal distribution are located between -1 and 1.

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The complete question is

the shaded region under a normal distribution with mean 0 and standard deviation 1 (standard normal distribution) is shown. which of the following is the best choice that corresponds to the shaded region? select one Values between -1 and 1

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

The model for S(t) is given as:

S(t) = (-0.03t^2 + 1.6t - 13.65)^(-1)

This model predicts the searching period length in days. It is an inverse function of the quadratic equation (-0.03t^2 + 1.6t - 13.65). As the temperature increases, the searching period decreases, indicating that the larvae are more efficient at finding the host tree at higher temperatures.

To calculate S(25), we substitute t = 25 into the equation:

S(25) = (-0.03(25)^2 + 1.6(25) - 13.65)^(-1)

= (-0.03(625) + 40 - 13.65)^(-1)

= (-18.75 + 26.35)^(-1)

= 7.6^(-1)

= 0.1316 days

Therefore, when the air temperature is 25 degrees Celsius, the predicted length of the searching period is approximately 0.1316 days.

The model for N(t) is given as:

N(t) = -0.85t^2 + 45.4t - 547

This model predicts the percentage of larvae surviving the searching period. It is a quadratic function (-0.85t^2 + 45.4t - 547). As the temperature increases, the percentage of larvae surviving the searching period may increase or decrease depending on the behavior of the quadratic function.

To calculate N(25), we substitute t = 25 into the equation:

N(25) = -0.85(25)^2 + 45.4(25) - 547

= -0.85(625) + 1135 - 547

= -531.25 + 1135 - 547

= 56.75%

Therefore, when the air temperature is 25 degrees Celsius, the predicted percentage of larvae surviving the searching period is 56.75%.

2. The rate of change of the searching period S(t) with respect to temperature t can be found by taking the derivative of the function S(t) with respect to t, which is denoted as ds/dt.

ds/dt = d/dt [(-0.03t^2 + 1.6t - 13.65)^(-1)]

To find when ds/dt = 0, we set the derivative equal to zero and solve for t:

ds/dt = 0

However, without the specific equation of S(t) in its original form, it is not possible to provide an exact value of t when ds/dt equals zero.

Regarding the behavior when t = 0, we cannot determine this without further information or the specific form of the function S(t). The behavior at t = 0 depends on the equation itself and how it is defined.

3. The rate of change of the percentage of larvae surviving the searching period N(t) with respect to the length of the searching period S(t) can be found by taking the derivative of the function N(t) with respect to S(t), denoted as dN/dS.

dN/dS = d/dS [(-0.85t^2 + 45.4t - 547)]

This rate of change provides information about how the percentage of larvae surviving the searching period changes with respect to the length of the searching period. It gives insight into the sensitivity