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3 years ago

12

Match each whole number with a rational, exponential expression.

1 answer:

Lerok [7]3 years ago

6 0

256 = 16^2
9 = 3^2
16 = 4^2
25 = 5^2
225 = 15^2
196 = 14^2

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

likoan [24]

Answer:

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2+4=6x$

This can be written as , $x^2-6x+4=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}$

$\Rightarrow x=\frac{6\pm\sqrt{20}}{2}$

$\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}$

$\Rightarrow x={3\pm \sqrt{5}}$

$\Rightarrow x_1={3+\sqrt{5}}$ and $\Rightarrow x_2={3-\sqrt{5}}$

We know $\sqrt{5}=2.23607$ (approx)

Substitute, we get,

$\Rightarrow x_1={3+2.23607}$ (approx) and $\Rightarrow x_2={3-2.23607}$ (approx)

$\Rightarrow x_1={5.23607}$ (approx) and $\Rightarrow x_2=0.76393}$ (approx)

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

7 0

3 years ago

Read 2 more answers

3. A garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway

Firlakuza [10]

Answer: i dont know the answer but find the area of each shape then add them together

6 0

3 years ago

Read 2 more answers

SOMEONE HELP ME PLEASE ASAP

sammy [17]

Answer:

X = 4

Step-by-step explanation:

If I am wrong I am so sorry

7 0

3 years ago

Which of the following expressions are equivalent to -19/8 x(-50)

dmitriy555 [2]

1. Move the negative sign to the left.

- $\frac{19}{8}$ $X$ *-50

2. Use this rule: $\frac{a}{b}$ $*$ $\frac{c}{d}$ = $\frac{ac}{bd}$

- $\frac{19x*-50}{8}$

3. Simplify - $\frac{-950x}{8}$

4. Move the negative sign to the left.

-(-950x/8)

5. Simplify 950x/8 to 475x/4

6. Remove parentheses.

5 0

2 years ago

A starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with proba

GuDViN [60]

Answer:

0.095163

Step-by-step explanation:

given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999

Here we find that for any start, there are exactly two outcomes either success or failure.

Also each start is independent of the other since p = 0.99999 for succss is given constant.

Thus X no of successes is binomial with p = 0.99999 and n =10000

If Y is taken as failure then Y is binomial with p' = 0.00001 and n =10000

Required probability

= the probability of at least one failure in the next 10,000 starts

= 1-P(no failure in 10000 starts)

= $1-(0.99999)^{10000} \\=0.095163$

4 0

3 years ago