I can't figure this equation out, help!!!!!!!!!!!!!!!!!!!!!!!The answer is 1 and -0.5, but I just can't figure out how to work it out.

Answers

Answer 1

Answer: $(4)/(2x-1)-(2)/(x)=2;\ D:2x-1\neq0\ \wedge\ x\neq0\Rightarrow x\neq(1)/(2)\ \wedge\ x\neq0\n\n(4)/(2x-1)=2+(2)/(x)\n\n(4)/(2x-1)=(2x)/(x)+(2)/(x)\n\n(4)/(2x-1)=(2x+2)/(x)\n\ncross\ multiply\n\n(2x-1)(2x+2)=4x\n4x^2+4x-2x-2-4x=0\n4x^2-2x-2=0\n4x^2-4x+2x-2=0$

$4x(x-1)+2(x-1)=0\n(x-1)(4x+2)=0\iff x-1=0\ \vee\ 4x+2=0\nx=1\in D\ \vee\ x=-(1)/(2)\in D\n\nSolutions:x=-(1)/(2)\ or\ x=1.$

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One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?a.) 2.5 inches b.) 5.0 inches c.) 7.1 inches d.) 9.8 inches

Answers

c right there i think

The answer is C. 7.1 inches

4(X-1)-3(X^2+2X+3)-7(X+7)

Answers

$4(x-1)-3(x^2+2x+3)-7(x+7) =\n 4x-4-3x^2-6x-9-7x-49=\n -3x^2-9x-62$

Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table.In which step did Susu first make an error?

Step 1
Step 2
Step 3
Step 4

Answers

In the question "Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table. In which step did Susu first make an error?" Susu made her first error in step 2, when she factored out 4 she is supposed to divide 8x by 4. Thus the correct expression for step 2 should be 4(x^2 - 2x) = 13 To complete the solution for the equation: 4(x^2 - 2x + 1) = 13 + 4(1) 4(x - 1)^2 = 13 + 4 4(x - 1)^2 = 17 (x - 1)^2 = 17/4 x - 1 = +/- sqrt(17/4) x = 1 +/- sqrt(17) / 2

Answer:B

Step-by-step explanation:

Television screen sizes are the diagonal length of therectangular screen. Hector recently changed from
watching a television with a 13-inch screen to a television
with a similar 19-inch screen. If a boxcar
appeared 8 inches long on the 13-inch screen, how
long, to the nearest inch, will it appear on the 19-inch
screen?

Answers

x/8 = 19/13 => x = (8*19)/13 = 11.69 inches long;

Final answer:

The boxcar will appear 12 inches long on the 19-inch screen.

Explanation:

To find out how long the boxcar will appear on the 19-inch screen, we can set up a proportion using the relationship between the screen sizes and the length of the boxcar. Let's call the length of the boxcar on the 19-inch screen 'x'. So, we have the proportion:

13/8 = 19/x

Solving for 'x', we can cross multiply and divide:

x = (19 * 8)/13

Calculating this gives us 'x' to be approximately 11.7 inches. Rounding to the nearest inch, the boxcar will appear 12 inches long on the 19-inch screen.

Learn more about Television screen sizes here:

brainly.com/question/28563035

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Sum of 3 numbers is 133. Third number is 3 times the first. Second number is 8 more than the first. What are the numbers?

Answers

$x,y,z-\ three\ numbers\n\nz=3x\ny=x+8\n\n\x+z+y=133\nx+3x+x+8=133\n5x+8=133\ \ | subtract\ 8\n5x=125\ \ | divide\ by\ 5\nx=25\n\nNumbers\ are:\ 25,33,75.$