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3 years ago

Solve the following system by Gauss-Jordan elimination.

Mathematics

1 answer:

topjm [15]3 years ago

4 0

9514 1404 393

Answer:

x1 = 1/2 + 1/2t

x2 = 4 -2t

x3 = t

Step-by-step explanation:

Your answer is correct as far as it goes. The values of x1 and x2 also need to be expressed in terms of t.

x1 = 1/2 + 1/2t

x2 = 4 -2t

x3 = t

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ANSWER ASAP PLS Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in th

JulsSmile [24]

Answer:

Step-by-step explanation:

Since Eve has already knitted nine scarves we just need to add of few more. Our equation is this: 9 + _ + _ = ?

If you do 9 + 4 + 4, you get 17. Therefor, Eve must knit four scarves per day to meet her goal.

5 0

3 years ago

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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

sara buys a sweater at a department store the sweater costs $30 the store is having a 25% off sale on everything in the store. e

tatuchka [14]

Answer:

$7.50

Step-by-step explanation:

Sara buys a sweater that costs $30

The store is having a 25% off sale.

To figure out what 25% is you do 25/100, which will give you 0.25,

Multiply 0.25 by $30

You should get $7.50.

3 0

2 years ago

Read 2 more answers

The length of the minute hand on a clock<br> is 8 in . what is the circumference?<br><br>

Alenkinab [10]

Answer:

16π in

Step-by-step explanation:

circumference formula is 2πr

so as the minute hand goes around with time it will travel 16π in or 50.27in

5 0

3 years ago

Suppose you have a right triangle area marked in the ground with a base (8-h) meters long and a height h meters long. the hypote

Aleks [24]

Answer:

5.415m and 2.585m long

Step-by-step explanation:

For a right triangle

hyp^2 = opp^2 + adj^2 (Pythagoras theorem)

Given

hypotenuse = 6m

height(opposite) = h meters

Adjacent = (8-h)m

Substitute into the expression above;

6² = h²+(8-h)²

36 = h²+64-16h+h²

36 = 2h²-16h+64

2h²-16h+64-36 = 0

2h²-16h+28= 0

Divide through by 2

h²-8h+14 = 0

Using the general formula

h = 8±√8²-4(14)/2

h = 8±√64-56/2

h = 8±√8/2

h = 8±2.83/2

h = 8+2.83/2 and 8-2.83/2

h = 10.83/2 and 5.17/2

h = 5.415 and 2.585

hence the length of the height of the right triangle are 5.415m and 2.585m long

7 0

3 years ago