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3 years ago

What are the solutions of the quadratic equation x2-8x+12=0?

Mathematics

1 answer:

aleksley [76]3 years ago

7 0

Answer:

X^2-8x+12=0

(X-6)(X-2)

X-6=0 X-2=0

X=6 X=2

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Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.

Hunter-Best [27]

Given:

Amount = Rs. 9,144

Time = 3 years.

Rate of simple interest = 9%

To find:

The principal value.

Solution:

The formula for simple interest is:

$I=\dfrac{P\times r\times t}{100}$

Where, P is principal, r is the simple rate of interest, and t is the number of years.

Putting $r=9,t=3$ in the above formula, we get

$I=\dfrac{P\times 9\times 3}{100}$

$I=\dfrac{27P}{100}$

$I=0.27P$

We know that,

$\text{Amount}=\text{Principal + Interest}$

$9144=P+0.27P$

$9144=1.27P$

Divide both sides by 1.27, we get

$\dfrac{9144}{1.27}=P$

$7200=P$

Therefore, the principal value is Rs. 7200.

8 0

3 years ago

Tess needs to buy sand for her children’s playground. The sand costs $8 per ton, and there is a delivery cost of $50 with each o

Butoxors [25]

Answer:

All positive rational numbers greater than 50

Step-by-step explanation:

Since the delivery cost is fixed per trip, the cost incurred can be represented by the equation

y(x)=8x+50 so in case Tess wants only 1 tone, the cost will be y(x)=8(1)+50=58

Therefore, it's proper to conclude that all numbers in the possible range are positive rational numbers greater than 50

6 0

3 years ago

Helppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

zloy xaker [14]

Step-by-step explanation:

draw the net

there are 3 squares, each with a L = 5m and W = 1.5 +1.5m

2 triangles with a base of 1.5 + 1.5 and a height of 2.6m

Area of a rectangle = L x W

" " Triangle = 0.5 x b x h

so youd write and solve 3 rectangles x ( 5 m x 1.5 + 1.5) + 2 triangles x (0.5 x (1.5 +1.5) x 2.6m)

also look up the equation for surface area for this shape. Should give you the same thing. This method makes it more intuitive

3 0

3 years ago

What is the equation of the line that is

Lena [83]

Answer:

y = 1x - 3

Step-by-step explanation:

Note that the given line has slope +1.

Any line parallel to this line must also have slope +1.

Apply the slope-intercept form y = mx + b:

Inserting -3 for y, 0 for x and 1 for m, we get the y-intercept

-3 = 1(0) + b, which tells us that b = -3 and that the desired equation is

y = 1x - 3

7 0

3 years ago

Graph the line that passes through the points (-4,-6) and (-2,-7) and

Komok [63]

Answer:

$y=-\frac{1}{2}x-8$

Step-by-step explanation:

$(-4,-6)(-2,-7)$

Step 1. Find the slope (by using the slope-formula)

m = slope

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-7--6}{-2--4}$

$m=\frac{-1}{2}$

$m=-\frac{1}{2}$

Step 2. Create the equation of a line that has a slope of $-\frac{1}{2}$

$y=-\frac{1}{2} x+b$

Step 3. Find the y-intercept

To do this, use any of the two points and substitute their x and y values

$y=-\frac{1}{2}x+b$

point: $(-2,-7)$

$(-7)=-\frac{1}{2}(-2)+b$

$(-7)=1+b$

$b=-7-1$

$b=-8$

Step 4. Write the equation in Slope-intercept form

$y=mx+b$

$y=-\frac{1}{2} x-8$

3 0

2 years ago