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nika2105 [10]
2 years ago
11

Mr. Gage wants to buy a new car A but is considering used Car B. Car A costs $2,500 less than twice as much as car B. If car A c

osts $20,800, what is the cost of car B?
Mathematics
2 answers:
ra1l [238]2 years ago
6 0
20,800 divided by 2 is 10,400.
Then 10,400 - 2,500 is 7,900, the correct answer is 7,900
Sergeeva-Olga [200]2 years ago
4 0
1250 is the answer simple math.
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A bag of birdseed that normally cost $22.25 is marked up to $25.30. What is the percent markup ?
LenaWriter [7]
25.3-22.25 = 3.05
What percent of 22.25 is 3.05?
22.25x = 3.05
x = .1370786517
It's marked up 13.7%
4 0
3 years ago
Axis of sym: x =
marta [7]

Answer:

<h2>SEE BELOW</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic function
  • PEMDAS
<h3>let's solve:</h3>

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

  • to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0

vertex form of quadratic equation:

  • y=a(x-h)²+k

therefore

  • y=a(x-(-1))²+4
  • y=a(x+1)²+4

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

3 = a(1 {)}^{2}  + 4

simplify exponent:

3 =  a + 4

therefore

a =  - 1

our vertex form of quadratic equation is

  • y=-(x+1)²+4

let's simplify it to standard form

simplify square:

y =  - ( {x}^{2}  + 2x + 1)  + 4

simplify parentheses:

y =  -  {x}^{2}  - 2x - 1 + 4

simplify addition:

y =  -  {x}^{2}  - 2x + 3

therefore our answer is D)y=-x²-2x+3

the domain of the function

x\in \mathbb{R}

and the range of the function is

y\leqslant 4

zeroes of the function:

-  {x}^{2}  - 2x + 3 = 0

\sf divide \: both \: sides \: by \:  - 1

{x}^{2}  + 2x - 3 = 0

\implies \:  {x}^{2} +   3x  - x  +  3 = 0

factor out x and -1 respectively:

\sf \implies \: x(x + 3)   - 1(x  + 3 )= 0

group:

\implies \: (x - 1)(x + 3) = 0

therefore

\begin{cases} x_{1} = 1 \\  x_{2}  =  - 3\end{cases}

4 0
3 years ago
X-5/2 =9 <br><br> solve for x
Liono4ka [1.6K]
 Best Answer:<span>  </span><span>(x - 5)^2 = 9 
x - 5 = ±√9 
x = 5 ± 3 
x = 2, 8</span>
5 0
3 years ago
Read 2 more answers
Is 2/3 a solution of the equation?
balandron [24]
No it isn't the solution to this equation is 2/1
6 0
3 years ago
Read 2 more answers
The area of a rectangle is 99 ft^2, and the length of the rectangle is 7 more than double the width. Find the dimensions of the
Sergio039 [100]

Answer:

width =5.5ft

length =18

Step-by-step explanation:

w=x

L=2x+7

area=w*L

99 = x(2x+7)

99=2x^{2} +7x

2x^{2} +7x-99=0

2x^{2} +18x-11x-99=0

2x(x+9)-11(x+9)=0

(2x-11)(x+9)=0

2x-11=0

2x=11

x=11/2

x=5.5

L=2x+7=2*5.5+7=11+7=18

7 0
3 years ago
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