Increase £30 by 15% what is the annswer

Answers

Answer 1
Answer: 15\%\cdot\pounds15=0.15\cdot\pounds15=\pounds2.25\n\pounds30+\pounds2.25=\boxed{\pounds32.25}

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Identify all factors of the expression 12x^2-14x-6

Answers

Let's solve this by using the quadratic formula:

(-b+-√(b^2-4ac) )/(2a)


Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

\frac{ -  ( - 14)± \sqrt{ {( - 14)}^(2) - 4(12)( - 6) } }{2(12)}

And so by evaluating those values we obtain:

(14+-√(484) )/(24)=(14+-22)/(24)  \n\n

Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

(14+22)/(24)=(36)/(24)=(3)/(2)


Second Factor:

(14-22)/(24)=(-8)/(24)=-(1)/(3)


And so your factors are

(3)/(2),-(1)/(3)

meaning that those are your roots/x-intercepts.


Help geometry will give brainliest

Answers

The distance from the owl to the squirrel would be found by using the law of sins/co-sins

Cos (known angle) = adjacent leg / hypotenuse ( distance wanted)

cos(50) = 14 / x

x = 14 / cos50

x = 21.78 feet

 The problem doesn't say if the answer should be rounded or not. You may have to round the answer if needed.



The angle of depression is congruent to your angle of elevation (the squirrel's line of sight. These are opposite angles. You use SOH CAH TOA to find the missing information because this forms a right triangle. SO you are really trying to solve for the hypotenuse here. 
You are given the  "side" opposite the angle. souse the SOH part Sine=opposite/hypotenuse
so when you plug in the information you get this equation:
sin(50)=14/x
divide both sides by sin(50) and you should get 
a hypotenuse of approx. 18.3

What is nine more than a number y, if that number is 4?
13
9
4
7

Answers

Answer:

\huge\boxed{13}

Step-by-step explanation:

The unknown number is y

Given condition is:

=> y + 9

Given that y = 4

=> 4 + 9

=> 13

\rule [225]{225}{2}

Hope this helped!

~AnonymousHelper1807

Match the terms to their definition. 1. consistent equations the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system 2. equivalent equations the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system 3. inconsistent equations equations having a common solution in a system 4. linear inequality equations having no common solutions in a system 5. substitute replace a quantity with its equal 6. system determinant equations having all common solutions 7. x-determinant an open sentence of the form Ax By C < 0 or Ax By C > 0 8. y-determinant the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system

Answers

Answer:

1-----3

2-----6

3------4

4------7

5-------5

6-------8

7--------1

8--------2

step-by-step explanation:

1)

consistent equation:  equations having a common solution in a system.

2)

Equivalent equation: equations having all common solutions.

3)

Inconsistent equations: equations having no common solutions in a system

4)

Linear inequality: an open sentence of the form Ax+By+C < 0 or Ax+By+C > 0.

5)

substitute: replace a quantity with its equal.

6)

system determinant: the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system.

7)

x-determinant:  the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system.

8)

y-determinant: the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system.

Final answer:

The terms are matched with their respective definitions, providing clarity about equations, linear inequality, substitution, and determinants in the context of a system of linear equations.

Explanation:

Let's go ahead and match these terms to their correct definitions:

  1. Consistent equations are equations having a common solution in a system.
  2. Equivalent equations refer to equations having all common solutions.
  3. Inconsistent equations are equations having no common solutions in a system.
  4. Linear inequality is an open sentence of the form Ax + By < C or Ax + By > C.
  5. To Substitute means to replace a quantity with its equal.
  6. System determinant for this instance, since specific definition is not provided, could be considered as a determinant that serves as a pivotal element in the solution of system of linear equations.
  7. X-determinant is the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system.
  8. Y-determinant is the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system.

Learn more about Mathematical Terms here:

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A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the directrix pass through?

Answers

The directrix will pass through the negative x-axis

The given parameters are:

Vertex = (0,0)

Focus = Positive x-axis

Given that the vertex is at the origin, the directrix would be on the opposite side of the focus

This means that:

The directrix will pass through the negative x-axis i.e. quadrant II and III

Read more about parabola at:

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The directrix will pass through quadrant II and III

What is 10% as a decimal point

Answers

10% as a decimal the answer is 0.10







Simply:

10% = 10 / 100              Cancel out

       = 1 /10

       = 0.1.          By long division.