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uranmaximum [27]

3 years ago

15

Zohar is using scissors to cut a rectangle with a length of 5x-2 and a width of 3x+1 out of a larger piece of paper . The perime

ter of rectangle is 2(5x-2)+2(3x+1) if x = 4 centimeters whst is total distance

1 answer:

Dmitriy789 [7]3 years ago

7 0

The total distance if x=4 is 62

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Select the two values of x that are roots of this equation.<br> 2x^2+ 1 = 5x

iren [92.7K]

Answer:

$\frac{5+\sqrt{17}}{4}$ , $\frac{5-\sqrt{17}}{4}$

Step-by-step explanation:

One is asked to find the root of the following equation:

$2x^2+1=5x$

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

$ax^2+bx+c=0$

Change the given equation using inverse operations,

$2x^2+1=5x$

$2x^2-5x+1=0$

The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

$\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}$

Simplify,

$\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}$

$\frac{5(+-)\sqrt{25-8}}{4}$

$\frac{5(+-)\sqrt{17}}{4}$

Rewrite,

$\frac{5(+-)\sqrt{17}}{4}$

$\frac{5+\sqrt{17}}{4}$ , $\frac{5-\sqrt{17}}{4}$

8 0

3 years ago

Marco had sales of $28,000. He makes a graduated commission of 4% on the first $10,000, 5% on the next $20,000 and 6% on anythin

Paha777 [63]

Answer:

$1,300

Step-by-step explanation:

commission on the first $10,000

= 4/100 * 10000

= $400

remaining amount

= $28,000 - $10,000

= $18,000

commission on remaining $18,000

= 5/100 * 18000

= $900

total commission

= $400 + $900

= $1,300

7 0

2 years ago

MARKING BRAINLIST!<br> Add (11x + 2) + (9x − 4).<br> F. 20x − 6 G. 20x − 2 H. 2x − 6 I. 2x − 2

Travka [436]

58 es la respuesta perdón si espkis inglés

4 0

3 years ago

Evaluate each expression express the result in scientific notation PLSSS I NEED THIS QUICK AND INCLUDE THE EXPLANATION

Anna71 [15]

Answer:

3.1 × 10^5

Step-by-step explanation:

8.37 ÷ 2.7= 3.1 when you divide you subtract the exponents

6 0

2 years ago

Construct a rectangle with the ratio of the lengths to the width 5:3<br> Need help

ValentinkaMS [17]

Answer:

It could be a rectangle with a length of 25 and a width of 15.

Step-by-step explanation:

Just basically multiply the ratio by common factor to create the rectangle dimensions.

5 0

3 years ago