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Dafna11 [192]
3 years ago
13

Answer quick please I dont really get this

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

f(9) = 24

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 4(x - 3)

f(9) is x = 9

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(9) = 4(9 - 3)
  2. Subtract:                              f(9) = 4(6)
  3. Multiply:                               f(9) = 24
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Can u break it down and help me answer 13 and 15 thx
olya-2409 [2.1K]
13) The product is a name for the answer to a multiplication question.
6.65*10,000
=66500 (the decimal point moved 4 places to the right (you're multiplying) since they're 4 zeros in 10,00)

15) The quotient is a name for the answer to a division question.
2.374/100
=0.02374 ( the decimal point moved 2 places to the left ( you're dividing) since they're 2 zeros in 100)

Hope this helps! A thanks/brainiest answer would be appreciated :)




3 0
3 years ago
two rectangular properties share a common side. Lot is 33 feet wide and 42 feet long. The combined area of the lots is 1,848 squ
klio [65]

First, find the area of lot A.

To find the area, multiply the length by the width.

33*42=1,386

Now, subtract the area of lot a from the total area. This will give us the area of lot b.

1,848-1,386=462

The area of lot b is 462 square feet.

Finally, divide the area of lot b (462) by its length to find the width. Since they both share a side, we know that it’s length is 42 feet.

462/42=11

Lot b is 11 feet wide.

Hope this helps!

4 0
3 years ago
If the divisor is 30 what is the least three digit dividend that would give a remainder of 8? Explain
Ronch [10]
240 is one not sure if its the largest.
5 0
3 years ago
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borishaifa [10]

Answer:

4+3n

Step-by-step explanation:

We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.

3 0
3 years ago
How do you solve:<br><br> 5x^2 + 25x - 70
Oxana [17]
<span>
</span><span>Equation at the end of step  1  :</span><span> (5x2 - 25x) - 70 = 0 </span><span>Step  2  :</span><span>Step  3  :</span>Pulling out like terms :

<span> 3.1 </span>    Pull out like factors :

  <span> 5x2 - 25x - 70</span>  =  <span> 5 • (x2 - 5x - 14)</span> 

Trying to factor by splitting the middle term

<span> 3.2 </span>    Factoring <span> x2 - 5x - 14</span> 

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -5x </span> its coefficient is <span> -5 </span>.
The last term, "the constant", is <span> -14 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -14 = -14</span> 

Step-2 : Find two factors of  -14  whose sum equals the coefficient of the middle term, which is  <span> -5 </span>.

<span><span>     -14   +   1   =   -13</span><span>     -7   +   2   =   -5   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  2 
                     <span>x2 - 7x</span> + 2x - 14

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-7)
              Add up the last 2 terms, pulling out common factors :
                    2 • (x-7)
Step-5 : Add up the four terms of step 4 :
                    (x+2)  •  (x-7)
             Which is the desired factorization

<span>Equation at the end of step  3  :</span> 5 • (x + 2) • (x - 7) = 0 <span>Step  4  :</span>Theory - Roots of a product :

<span> 4.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Equations which are never true :

<span> 4.2 </span>     Solve :    5   =  0

<span>This equation has no solution.
</span>A a non-zero constant never equals zero.

Solving a Single Variable Equation :

<span> 4.3 </span>     Solve  :    x+2 = 0<span> 

 </span>Subtract  2  from both sides of the equation :<span> 
 </span>                     x = -2 

Solving a Single Variable Equation :

<span> 4.4 </span>     Solve  :    x-7 = 0<span> 

 </span>Add  7  to both sides of the equation :<span> 
 </span>                     x = 7 

Supplement : Solving Quadratic Equation Directly<span>Solving <span> x2-5x-14</span>  = 0 directly </span>

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex :

<span> 5.1 </span>     Find the Vertex of   <span>y = x2-5x-14

</span>Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).<span> 

 </span>Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.<span> 

 </span>Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.<span> 

 </span>For any parabola,<span>Ax2+Bx+C,</span>the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   2.5000 <span> 

 </span>Plugging into the parabola formula   2.5000  for  x  we can calculate the  y -coordinate :<span> 
 </span><span> y = 1.0 * 2.50 * 2.50 - 5.0 * 2.50 - 14.0 
</span>or   y = -20.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : <span> y = x2-5x-14</span>
Axis of Symmetry (dashed)  {x}={ 2.50} 
Vertex at  {x,y} = { 2.50,-20.25}  
 x -Intercepts (Roots) :
Root 1 at  {x,y} = {-2.00, 0.00} 
Root 2 at  {x,y} = { 7.00, 0.00} 

Solve Quadratic Equation by Completing The Square

<span> 5.2 </span>    Solving  <span> x2-5x-14 = 0</span> by Completing The Square<span> .

 </span>Add <span> 14 </span> to both side of the equation : 
  <span> x2-5x = 14</span>

Now the clever bit: Take the coefficient of  x , which is <span> 5</span> , divide by two, giving <span> 5/2</span> , and finally square it giving <span> 25/4</span> 

Add <span> 25/4</span>  to both sides of the equation :
  On the right hand side we have :
   14  +  25/4    or,  (14/1)+(25/4) 
  The common denominator of the two fractions is  4   Adding  (56/4)+(25/4)  gives  81/4 
  So adding to both sides we finally get :
  <span> x2-5x+(25/4) = 81/4</span>

Adding <span> 25/4</span>  has completed the left hand side into a perfect square :
  <span> <span>x2-5x+(25/4)</span> </span> =
   (x-(5/2)) • (x-(5/2))  =
  <span>(x-(5/2))2 </span>
Things which are equal to the same thing are also equal to one another. Since
  <span> x2-5x+(25/4) = 81/4</span> and
  <span> x2-5x+(25/4) = (x-(5/2))2 </span>
then, according to the law of transitivity,
  <span> (x-(5/2))2 = 81/4</span>

We'll refer to this Equation as  Eq. #5.2.1  

The <span>Square Root Principle </span>says that When two things are equal, their square roots are equal.

Note that the square root of
  <span> <span>(x-(5/2))2 </span> </span> is
  <span> <span>(x-(5/2))2/2</span> =
  <span>(x-(5/2))1</span> =
   x-(5/2)</span>

Now, applying the Square Root Principle to  Eq. #5.2.1  we get:
  <span> x-(5/2) = <span>√<span> 81/4 </span></span></span>

Add <span> 5/2 </span> to both sides to obtain:
  <span> x = 5/2 + √<span> 81/4 </span></span>

Since a square root has two values, one positive and the other negative
  <span> x2 - 5x - 14 = 0</span>
   has two solutions:
  <span>x = 5/2 + √<span> 81/4 </span></span>
   or
  <span>x = 5/2 - √<span> 81/4 </span></span>

Note that <span> √<span> 81/4 </span></span>can be written as
  <span>√ 81  / √ 4 </span>  which is <span>9 / 2 </span>

Solve Quadratic Equation using the Quadratic Formula

<span> 5.3 </span>    Solving   <span> x2-5x-14 = 0</span> by the Quadratic Formula<span> .

 </span>

3 0
3 years ago
Read 2 more answers
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