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Dominik [7]
3 years ago
13

Determine the type and number of solutions of 4x^2-5x+1=0

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0

4x^2-5x=-1

\sqrt{4x^2-5x} = \sqrt{-1}4x^2-5x+1=0

4x+2.24x=1

6.24x=1

x= 0.16025641025641025641025641025641


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On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map?
WITCHER [35]

Answer:

2.25 square inches

Step-by-step explanation:

we know that

The scale is 1\ inch: 20\ miles

That means

1 inch on a map represent 20 miles in the city

so

An area of (1)(1)=1\ in^2 on a map represent an area of (20)(20)=400\ mi^2 in the city

Applying proportion

\frac{1}{400}\ \frac{in^2}{mi^2}=\frac{x}{900}\ \frac{in^2}{mi^2}\\\\x=900/400\\\\x=2.25\ in^2

3 0
3 years ago
Caroline's gross annual salary is $47,448 What is the max amount of rent she can afford to pay?
morpeh [17]

47,448/12=$3954

As, 28/36 rule states that maximum of 28% of your monthly expenditure should be spent on housing finances.

0.28*3954=$1107,12

Answer: $1107.

4 0
3 years ago
Write an equivalent expression for (x - 11)(x + 9).
vodka [1.7K]

Answer:

x²-2x-99

Step-by-step explanation:

(x-11)(x+9) - foil method

x times x = x squared

x times 9 = 9x

-11 times x = -11x

-11 times 9 = -99

x squared + 9x + 11x + -99

x squared-2x-99

7 0
3 years ago
Can you guys help me? please
mel-nik [20]

Answer:

3 square root 2.

Step-by-step explanation:

I think the answer is b (3 square root 2). the Pythagorean therom states that B^2+ B^2= C^2. we know that c squared is 36. 3 square root 2 is approximately 4.24. ( this squared is 17.98). 17.98 + 17.98 = 35.96.  If i round this up, it is 36.

8 0
3 years ago
What is the solution of the matrix equation?
katrin [286]

Hello from MrBillDoesMath!

Answer:

The first choice ( -12, 20)



Discussion:

Using matrix multiplication we find the equations:


1x  + 1y = 8                     (A)

2x  + 3y = 36                   (B)


Next, compute

  2(A) - B  =>

         (2x + 2y) - (2x + 3y) = 2*8 - 36    =>

          (2x - 2x) + ( 2y-3y) = 16 - 36 =>

          -y = -20  =>

         y = 20


Substituting this y value in (A) gives

         x + 20 = 8 =>

         x = 8 - 20 =>

        x = -12


The answer is the first choice ( -12, 20)


Thank you,

MrB

6 0
3 years ago
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