PLS HELP WILL GIVE BRAINLIEST PLS but pls answer correctly pls

Select the two values of x that are roots of this equation. x + 2x - 6 = 0

VLD [36.1K]

For this case we must solve the following quadratic equation:

$x ^ 2 + 2x-6 = 0$

Where:

$a = 1\\b = 2\\c = -6$

The solution is given by:

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

Substituting:

$x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}$

Thus, we have two roots:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

ANswer:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

8 0

3 years ago

Need help with solving and understanding

prohojiy [21]

Let start off with 5/8+7/8= 1 4/8
Now it's 13+1 4/8= 14 4/8 or 14 1/2 :)

5 0

3 years ago

What is the product of (-3s+2t(4s-t)

galben [10]

Use the FOLD method
(a+b)(c+d)=ac+ad+bc+bd

−12s^2 + 3st + 8ts − 2t^2

Collect like terms
-12{s}^{2}+(3st+8st)-2{t}^{2}

Simplify
-12{s}^{2}+11st-2{t}^{2}−12s2+11st−2t2

The answer is = -12s^2 + 11st - 2t^2

5 0

3 years ago

Triangle HIJ has vertices H(1, 7) , I(−4, −2) , and J(−3, 5) . Write the coordinate notation for a translation of 3 units right

e-lub [12.9K]

Step-by-step explanation:

(x, y) -> (x+3, y+4)

that is what 3 units to the right (3 units into the outsource x direction) and 4 units up (4 units into the posits y directing) mean.

so, all points go through this translation

(1, 7) -> (4, 11)

(-4, -2) -> (-1, 2)

(-3, 5) -> (0, 9)

3 0

2 years ago

A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s

Lelechka [254]

Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable X can be defined as the number of popcorn kernels that popped out of a mini bag.

The mean is, μ = 72 and the standard deviation is, σ = 12.

Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.

Compute the probability that a bag popped 96 kernels or more as follows:

Apply continuity correction:

$P( X\geq 96)=P( X>96+0.50)$

$=P( X>96.50)\\=P(\frac{X-\mu}{\sigma}>\frac{96.50-72}{12})\\=P(Z>2.04)\\=1-P(Z$

*Use a z-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

3 0

3 years ago