6x^2-7x-3=0
Solve by completing the square:
x^2-7/6x-1/2=0 (divided everything by 6)
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb, the coefficient of x.<span>(b/2)2=<span>(−7/12)<span>2
</span></span></span>x2−7x/6+<span>(−7/12)2</span>=1/2+<span>(−7/12)<span>2
(simplify)
</span></span><span><span>x2−<span>7x6</span>+49144=121144</span><span>x2-<span>7x6</span>+49144=121144</span></span>Factor the perfect trinomial square into <span><span>(x−7/12)</span>2</span><span><span><span>(x−7/12)</span>2</span>=<span>121/144
x-7/12=squ. root of +/- 121/144
x-7/12= +/- 11/12
Solution1:
x-7/12=11/12
x=18/12
x=3/2
Solution 2:
</span></span>x-7/12=-11/12
x=-4/12
<span>x=-1/3
</span>Answers: 3/2, -1/3
44 - 12 = 32.
32g required
Answer:
She sold 430 buttons.
Step-by-step explanation:
Divide 0.5 from 215 to get 430. Hope this helps!
Answer:
Lateral Surface Area = 94.25 cm²
Surface area = 150.8 cm²
Step-by-step explanation:
A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?
Step 1
We have to find the radius of the cylinder
We are told in the question that:
The circumference of one circle is 18.84 cm
Circumference of a circle = 2πr
18.84cm = 2πr
r = 18.84/2π
r = 2.9984791279cm
Approximately the radius = 3cm
Step 2
We find the Lateral Surface Area of the Cylinder
The formula =2πrh
r = 3cm
h = 5cm
=2×π × 3 × 5
= 94.24778 cm²
Approximately = 94.25 cm²
Step 3
We find the Surface Area of the Cylinder
The formula =2πr(r + h)
r = 3cm
h = 5cm
=2×π × 3 × 5(3 + 5)
= 150.79645 cm²
Approximately = 150.80 cm²
Answer:
New price = 90 dollars
Price is reduced 25% from 120 so,
120 - 30 = 90
Amount of discount = 30
