Which equation represents the linear function that is shown on the graph below ?

A. Y=1/2 x+4
B. Y=1/2 x-2
C. Y=4 x-2
D. Y= -2 x +4

Answer:  29

Step-by-step explanation:

-21 - 8 = 29

The reason why it's a positive instead of a negative is because when you have an even number of positives in an equation the answer will always be positive and vice versa.

[tex] {x}^{2} + 4x - 7 = 0 \\ → {x}^{2} + 4x = 7[/tex]

Add the square of the half of the coefficient of the unknown(x) to both sides of the equation.

[tex] {x}^{2} + 4x + ( \frac{4}{2} {)}^{2} = 7 + ( \frac{4}{2} {)}^{2}[/tex]

[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + (2 {)}^{2} [/tex]

[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + 4[/tex]

Bring out x and 2 and square them as shown below:

[tex](x + 2 {)}^{2} = 11[/tex]

Now, square root both sides of the equation to find the value of x as shown below:

[tex] \sqrt{(x + 2 {)}^{2} } = \sqrt{11} [/tex]

Add a + or - sign since it is a quadratic equation

[tex]x + 2 = \binom{ + }{ - } \sqrt{11} [/tex]

[tex]x + 2 = \binom{ + }{ - } 3.3166[/tex]

[tex]x = - 2 + 3.166 [/tex] or

[tex]x = - 2 - 3.166[/tex]

Therefore:

[tex]x = 1.17[/tex] or

[tex]x = - 5.17[/tex]

to two decimal places.

Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).

The not common definition of the Geometric distribution is the variety of trials till the primary achievement.. The following is an instance for the distinction among the Binomial and Geometric distributions: If a own circle of relatives comes to a decision to have five youngsters, then the variety of girls (successes) within side the own circle of relatives has a binomial distribution. If the own circle of relatives comes to a decision to have youngsters till they have got the primary lady after which stop, the the variety of youngsters within side the own circle of relatives has a Geometric distribution . A variant at the Geometric distribution is counting the variety of failures till the primary achievement, after which the variety may be 0,1,2,... In the instance it might be counting the variety of boys within side the own circle of relatives earlier than the primary lady turned into born, and now no longer the entire variety of youngsters. The distinction among the 2 versions is usually 1.

Therefore, Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).

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Answer:

+ 36

Step-by-step explanation:

assuming you require to make the terms into a perfect square.

using the method of completing the square

add ( half the coefficient of the y- term )² to y² - 12y

y² + 2(- 6)y + (- 6)²

= y² - 12y + 36

= (y - 6)² ← a perfect square

Scale being used = 1 : 300

It is given that the model measured the height as 2.5cm.

The height of the hall = 7.5 m = 750 cm

By using the formula

Scale to be used = size down/ Actual size

                            = 2.5/ 750

                            = 1/300

                            = 1 : 300

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Answer:

{x|10.132 < x < 10.133}

Step-by-step explanation:

I think this will be the answer

The required value of the variable x can be found as 10.1325.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality is 10.132 < x < 10.133.

It implies that the value of x lies between 10.132 and 10.133.

Write the given numbers up to four decimal places as,

10.1320 and 10.1330

Then, the required value of x can be written as 10.1325.

Hence, the value of x can be found by writing the numbers in equivalent form as 10.1325.

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A guardrail's acceptable height range is 99cm to 113cm and the definite absolute value inequality is as follows | h - 106cm | ≤ 7cm,

We understand that the height must be 106cm with a maximum absolute deviation of 7cm.

As a result, the maximum height is:

106cm plus 7cm = 113cm

The bare minimum is:

99cm = 106cm -7cm

This is represented by the absolute value equation:

| h - 106cm | ≤ 7cm

In which h is the guardrail's height.

A guardrail's acceptable height range is 99cm to 113cm.

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Answer:

80

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{120}[/tex]  To get 120 we needed to multiply 3 by 40, so we will multiple 2 by 40 to get 80.

[tex] x_{ 1} = - 7 , x_{ 2} = 4 \\ y_{ 1} = 5 , y_{ 2} = 5[/tex]

Using the distance formula

[tex] \sqrt{(x_{2 } - x_{ 1} {)}^{2} + (y_{ 2} -y_{ 1} {)}^{2} } [/tex]

Substitute with the given values

[tex] \sqrt{(4 - ( - 7 {)}^{2} + (5 - 5 {)}^{2} } [/tex]

[tex] \sqrt{(11 {)}^{2} + (0 {)}^{2} } [/tex]

[tex] \sqrt{121 + 0} = \sqrt{121} [/tex]

[tex] \sqrt{121} = 11[/tex]

Therefore:

Distance [tex] = 11[/tex]

Answer:

2x + 2 + h.

Step-by-step explanation:

F(x+h) is f(x) where x+h replaces x:-

f(x + h) = (x + h)^2 + 2(x + h) - 3

[f(x+h) - f(x)] / h

= (x + h)^2 + 2(x + h) - 3 - (x^2 + 2x - 3)  /  h

= [x^2 + 2hx + h^2 + 2x + 2h - 3 - x^2 - 2x + 3] / h

= (2hx + h^2 + 2h) / h

= 2x + 2 + h

The limit of [f(x+h) - f(x)] / h as h ----> 0 is 2x + 2.

We refer to 2x + 2 as the derivative of x^2 + 2x - 3.

Answer:

No solution

Step-by-step explanation:

Let's solve your system by elimination.

−2x+14y=−29;x−7y=19

Multiply the second equation by 2, then add the equations together.

(−2x+14y=−29)

2(x−7y=19)

Becomes:

−2x+14y=−29

2x−14y=38

Add these equations to eliminate x:

0=9

The measure of the angle B is equal to 56°.

A right triangle is a triangle, of which one of the three angles is a right angle. In accordance with Euclidean geometry, the sum of the measures of the internal angle is equal to 180°. Then,

m ∠ A + m ∠ B + m ∠ C = 180°

90° + 34° + m ∠ B = 180°

124° + m ∠ B = 180°

m ∠ B = 180° - 124°

m ∠ B = 56°

The measure of the angle B is equal to 56°.

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Answer:

1 solution

Step-by-step explanation:

4h + 2 = 3h - 7

Subtract 3h from both sides:

(4h + 2) - 3h = (3h - 7) - 3h

h + 2 = -7

Then, subtract 2 from both sides to isolate h:

(h + 2) - 2 = (-7) - 2

h = -9

There is one solution, -9.

Step-by-step explanation:

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Step-by-step explanation:

i dont understand the answer noksf okay

Yes, Chris has enough money to buy 30 pens and 30 folders.

Given:

So, the cost of 30 pens will be:

Similarly, the cost of 30 folders will be:

Cost of 30 pens and 30 folders = £22.5 + £34.8 = £57.3

Therefore, yes Chris has enough money to buy 30 pens and 30 folders.

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a = h/b

x b, both sides

ab = h

÷a

b = h/a

B = h/a

Hope this helps!

Answer: b = h/a

Step-by-step explanation: What you need to do is to get b by itself and to do that you have to move b to the other side because it's being divided by b. To do that you multiply by b on both sides.

1) ab = h

Now, isolate b by dividing a into both sides.

2) b = h/a

Now, you have b alone you know what b is equal to.

Answer:

16 is correct Answer. Please mark me as brainlist answer.

Answer:

5

Step-by-step explanation:

quotient = divide.

37 / 7 = 5

Step-by-step explanation:

23+35

37+83=4733

24783+3747

The p and t represent Principal and time and interest is 517.7

We are given the formula to find the interest. So, the formula is -

I = (PRT) ÷ 100

In this formula, I refers to interest, P refers to Principal, R refers to rate of interest and T refers to time. Time will be in years and division by 100 is done for rate of interest.

Keep the values in formula to calculate the interest -

As per the known fact, 12 months = 1 year

So, 20 months = (1 ÷ 12) × 20

20 months = 1.67 years

Interest = (2500 × 12.4 × 1.67) ÷ 100

Performing multiplication in numerator

Interest = 51,770 ÷ 100

Performing division to find the interest

Interest = 517.7

Hence, p refers to principal and t refers to time. The interest that Gordon will receive will be 517.7.

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Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

Answer:

Equation: 5 + 2x = 3x + 3  ; Answer: x = 2

Step-by-step explanation:

Try and re-reading the question until you truly grasp the concept of it or write an equation by reading each word and making sure the operations are suitable according to the text. Then, finally, simply just solve.

Hope this helps! :D

The integer in simplest form in -59/40.

It is required to find the scientific notation.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given integer is

-7/8-(3/5)

We have to find the integer in simplest form.

According to given question we have

-7/8-(3/5)

=-7/8-3/5

Taking LCM of 8 and 5 we get,

LCM(8,5)=40

=-35-24/40

=-59/40

Therefore, the integer in simplest form in -59/40.

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Answer: 1 L = 0.001 m³

Step-by-step explanation:

1m³ =1000 L

0.001 m³ = 1 L

Nearer to the north pole is Bill.

The path that an object moves along is referred to as its direction. A feature's direction can alternatively be defined as its location in relation to another feature's position.

The four cardinal directions—north, south, east, and west—are often known by their first letters: N, S, E, and W. These directions are the four major points of a compass.

The cardinal points are another name for these four directions.

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Answer:

difference of 27 m

Step-by-step explanation:

starts at 21m and ends at -6m

21+x=-6

(rearrange so the X is by itself)

21+6=x     x=27

Section 14 makes about 40 Acres.

640 acres make up a square mile.

Given are the southwest quarter, the northern half, and the eastern half.

Consider that 2x2x4=16.

640 divided by 16 equals 40 acres.

40 acres make up Section 14.

How do you estimate the value per acre?

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Step-by-step explanation:

also it is one to one since the inverse is y = x² given that x > or = to zero.

why?

Since the value inside of the square roo should be absolute value as negative numbers make the function complex.