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tiny-mole [99]
3 years ago
12

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

since the equation is c=9.5t, Sanjay paid c=9.5 x 14 shirts he bought. which =$133

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Let x^2+15x=49
Slav-nsk [51]
<span>x^2 + 15x + 56.25 = 105.25

    "Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
 x^2 + 15x + 56.25 = 49 + 56.25
 Which is
 x^2 + 15x + 56.25 = 105.25
  Which is the answer desired.

   Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
 (x+7.5)^2 = 105.25

   Now take the square root of each side
 (x+7.5) = sqrt(105.25)

   And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
 and
 x+7.5 = -10.25914226

   And let's find X.
 x+7.5 = 10.25914226
 x = 2.759142264

   x+7.5 = -10.25914226
 x = -17.75914226

   So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
3 0
3 years ago
Read 2 more answers
What is the next term of the geometric sequence?<br> 2, 10, 50,
Taya2010 [7]

Answer:

5

Step-by-step explanation:

2*5=10

10*5=50

5 0
3 years ago
Read 2 more answers
Simplify: 2(4x - 6) - 8 + 10x
Darya [45]

Answer:

Hi there!

The simplified version is:

18x-20

Step-by-step explanation:

2(4x-6) -8 +10x

First, multiply the 2 by the parentheses.

8x -12 -8 +10x

Next, combine like terms

18x -20

This is the simplified version!

Hope this helps

6 0
3 years ago
Read 2 more answers
The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3, 5) and B(5, 1). Find the equation of the line that
andreyandreev [35.5K]

Answer:

2x + y = 16

Step-by-step explanation:

In rectangle side AB and side CD are parallel, so the slope of both the lines will be same it means that they are parallel to each other.

slope of line AB:

\textrm{m}=\frac{\textrm{y}_{A}-\textrm{y}_{B}}{\textrm{x}_{A}-\textrm{x}_{B}}\\\textrm{m}=\frac{5-1}{3-5}=\frac{4}{-2}=-2\\\therefore \textrm{m}=-2

slope of line CD = slope of line AB = -2

∴ equation of line CD:

\textrm{y}-\textrm{y}_{C}=\textrm{m}(\textrm{x}-\textrm{x}_{C})\\ \textrm{y}-2=-2(\textrm{x}-7)\\2\textrm{x}+\textrm{y}=16

3 0
3 years ago
Consider the function f(x) = (x + 2)2 + 1. Which of the following functions shifts the graph of f(x) to the right three units?
lakkis [162]

Answer:

g(x) = (x – 1)2 + 1

Step-by-step explanation:

5 0
2 years ago
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