from 5x^2-6x+8, subtract 3x^2-2x-4?

Answer:

the hypotenuse is probably 26

Step-by-step explanation:

The perimeter of the rectangle is 75 cm, then the length of the rectangle will be equal to 25.25 cm.

A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any geometric two-dimensional shape. The circumference of several figures could be comparable based on the measurements.

As per the information provided by the question,

The perimeter of the rectangle = 75 cm

Let the width of the rectangle is w.

Then, length (l) is 13 more than,

l = w + 13   (i)

As per the formula of the perimeter of a rectangle,

[tex]P=2(l+w)[/tex]

75 = 2(w + 13 + w)

75 = 4w + 26

4w = 49

w = 12.25 cm

Substitute w = 12.25 cm in equation (i)

l = 12.25 + 13

l = 25.25 cm.

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The value of the square root of the number 1.69 would be 1.3.

Used the concept of the square root of a number that states that,

The square root of a number is the number that, when multiplied by itself, gives the original number.

Given that the number is,

The square root of 1.69.

Now simplify the number as

The square root of 1.69.

It can be written as,

√1.69

√(1.3)²

= 1.3

Therefore, √1.69 = 1.3

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Answer:idek tbh

Step-by-step explanation:

Answer:

the value of p=-1

Step-by-step explanation:

General equation of a parabola is

[tex]y^2= 4p(x)[/tex] where vertex is at (0,0)

now we compare the given equation with general form

[tex]y^2=-4x[/tex]

We have -4 in the place of 4p

[tex]4p=-4[/tex]

Divide both sides by 4

so p = -1

the value of p = -1

 3.1     Pull out like factors :

   5x2 - 25x - 70  =   5 • (x2 - 5x - 14) 

 3.2     Factoring  x2 - 5x - 14 

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

Step-1 : Multiply the coefficient of the first term by the constant   1 • -14 = -14 

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

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

 4.1    A product of several terms equals zero. 

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

 We shall now solve each term = 0 separately 

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

 Any solution of term = 0 solves product = 0 as well.

 4.2      Solve :    5   =  0

This equation has no solution.
A a non-zero constant never equals zero.

 4.3      Solve  :    x+2 = 0 

 Subtract  2  from both sides of the equation : 
                      x = -2 

 4.4      Solve  :    x-7 = 0 

 Add  7  to both sides of the equation : 
                      x = 7 

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

 5.1      Find the Vertex of   y = x2-5x-14

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). 

 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. 

 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. 

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

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

Root plot for :  y = x2-5x-14
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} 

 5.2     Solving   x2-5x-14 = 0 by Completing The Square .

 Add  14  to both side of the equation : 
   x2-5x = 14

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

Add  25/4  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 :
   x2-5x+(25/4) = 81/4

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

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

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

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

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

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

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

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

 5.3     Solving    x2-5x-14 = 0 by the Quadratic Formula .

 

The first thing we are going to do to find the total cost of the meal before tax:

Total cost before tax = $8.99 + 2($14.99) + $12.99 + 3($1.99)

Total cost before tax = $8.99 + $29.98 + 12.99 + $5.97

Total cost before tax = $57.93

Regarding the 15% gratuity, remember that the unofficial rule for tipping at restaurants is to tip according to the actual value of the meal and not the tax, so we calculate the value of the tip first, and then we add it to the total at the end of our calculations.

Tip = 15%($57.93) = $8.69

Now, lets calculate the tax

Tax = 7.5%($57.93) = $4.34

Finally, we can calculate the total cost of the meal

Total cost = cost before tax + tip + tax

Total cost = $57.93 + $8.69 + $4.34 = $70.96

We can conclude that the correct answer is a. $70.96

Answer:

$70.96

Step-by-step explanation:

Cost of 1 appetizer = $8.99

Cost of 1 entrees= $14.99

Cost of 2 entrees= [tex]14.99 \times 2 = 29.98[/tex]

Cost of 1 entree: $12.99

Cost of 3 drinks = 1.99 \times 3 =5.97

Total cost before tax = $8.99 + $29.98 + 12.99 + $5.97

Total cost before tax = $57.93

there is 7.5% tax

So, tax =[tex]7.5 \% \times 57.93 = \frac{7.5}{100} \times 57.93 =4.34[/tex]

The customer leaves a 15% gratuity.

Gratuity=[tex]15 \% \times 57.93 = \frac{15}{100} \times 57.93 =8.69[/tex]

So, Total cost including tax and gratuity = $57.93 + $8.69 + $4.34 = $70.96

So, Option A is true

All the bird seed bags Nellie is considering have the same cost per pound ($0.72). She should choose based on her weekly usage and storage preference. Any size will be cost-effective.

To determine the best deal on bird seed, Nellie needs to calculate the unit price for each option. The unit price is the price per pound of bird seed.

For the 3.5-pound bag:

[tex]\[ \text{Unit price} = \frac{\$2.52}{3.5 \text{ pounds}} \approx \$0.72/\text{pound} \]\\For the 7.5-pound bag:\[ \text{Unit price} = \frac{\$5.40}{7.5 \text{ pounds}} = \$0.72/\text{pound} \]For the 11-pound bag:\[ \text{Unit price} = \frac{\$7.92}{11 \text{ pounds}} \approx \$0.72/\text{pound} \][/tex]

Since all three options have the same unit price of approximately $0.72 per pound, Nellie should choose the size that offers her the most pounds of bird seed for the best value, as he has anyway room for storing extra purchase. Here, can choose to buy any of them.

This is the graph they are referring to

Answer:

Step-by-step explanation:

alright lets get started.

the linear combination is given by :

[tex]4(-2,3)-2(6,-7)[/tex]

foiling 4 and 2 into the parenthesis

[tex](4*-2, 4*3)+(-2*6,-2*-7)[/tex]

[tex](-8, 12)+(-12,14)[/tex]

Combinig x and y terms together

[tex](-8-12, 12+14)[/tex]

[tex](-20,26)[/tex]    :     answer

Hope it will help. :)

Answer: The correct answer is A.

Step-by-step explanation:

Range is defined as the set of 'y' values for which the function is defined.

The graph of [tex]y=\sqrt{x}[/tex] passes through the origin and lies in the first quadrant and in the shape of half parabola. The image is attached below.

The alteration in the 'x' term will transform the graph in the x-direction. In order to find the range we will consider the y-values only. So, we can neglect option C and D.

When we add some constant 'C' in the function, then the graph will shift upward by C-units.

When we subtract some constant 'C' in the function, then the graph will shift downward by C-units.

Therefore, the graph of [tex]y=\sqrt{x}-5[/tex] starts with the point (0,-5) and hence, the graph will lie above this point. The image of the graph is attached below.

As, the range of the function is [tex]y\in {-5,\infty}[/tex], it means that -4 is also included in this range.

Hence, the correct option is A.

The correct option where the range includes -4 is y = sqrt(x) - 5. Other options do not produce negative values in their ranges. Hence, Option A is the correct answer.

To determine which function's range includes -4, we will analyze each option:

Based on the above analysis, the correct answer is Option A: y = sqrt(x) - 5.

Answer:

July has 31 days.

Step-by-step explanation:

The diagram shows that april has 30 days along with June, while May and July have 31 days.