below is this graph of a trigonometric function, it intersects its midline at (8.7,7.2), and it has minimum point at (6.2,3.8)

What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

$x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0

1 year ago

. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If so

kherson [118]

Answer:

B-14

Step-by-step explanation:

Divide 220.50 by 15.75 and you will get 14

Hope it can help you lovelots

4 0

2 years ago

Read 2 more answers

A rectangle has a perimeter of 84 miles and a height of 26 miles .what is the length of the base?

ExtremeBDS [4]

Answer:

16 miles

Step-by-step explanation:

The height is 26 miles. Multiply that by 2 which gets 52 and then subtract that from 84. That gives you 32 which means the sum of the lengths is 32/2 which is 16 miles

6 0

2 years ago

An architect creates a scale model of a building with a scale of 3 inches =11 feet of the actual width of the building is 121 fe

Tomtit [17]

Answer:

The width of the scale model is 33 inches.

Step-by-step explanation:

This question is solved making a relation with the scale model.

In the scale, 3 inches are worth 11 real feet.

The actual width of the building is 121 feet, so we find it's scale by a rule of three.

3 inches - 11 feet

x inches - 121 feet

$11x = 121*3$

Simplifying by 3, both sides

$x = 11*3 = 33$

The width of the scale model is 33 inches.

5 0

2 years ago

Least common denominator of x-5 and x-2

dem82 [27]

Answer: (x-5 ) (x-2)

Step-by-step explanation:

5 0

2 years ago