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3 years ago

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Determine the intercepts of the line. y-intercept: r-intercept: help pls

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cricket20 [7]3 years ago

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What are all real square roots of .027

mario62 [17]

Answer:

Step-by-step explanation:

The principal, real, root of:

$^{2} \sqrt{0.027}$

= 0.164316767

All roots:

0.164316767

−0.164316767

0.027 is not a perfect square

5 0

3 years ago

For the matrices below. Find all (real) eigenvalues. <br><br> A= [7 9]<br> [0 9]

Jet001 [13]

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

$A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right]$

Using formula:

$|A-\lambda \cdot I|= 0\\\\$

$\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\$

$\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\$

8 0

3 years ago

PLEASE HELP!!! The amount of polonium-210 remaining, P(t), after t days in a sample can be modeled by the exponential function P

exis [7]

Answer:

$P(t)=100(0.994)^t$

Step-by-step explanation:

A calculator shows the value of $e^{-.006} \approx 0.994$ meaning that each day, about 99.4% of the sample remains.

The formula $P(t)=100e^{-0.006t} = 100(e^{-0.006})^t=100(0.994)^t$

Evaluate this at <em>t</em> = 16 to get 91 grams remain.

3 0

3 years ago

The graph below represents the linear equation y = one-half x minus 3. On a coordinate plane, a line goes through (0, negative 3

mamaluj [8]

Answer:

(C) (2, -2)

Step-by-step explanation:

Given the linear equation: $y=\dfrac12x-3$

A second linear equation is given by the table:

$\left|\begin{array}{c|cccccc}x&-1&0&2&3\\y&1&0&-2&-3\end{array}\right|$

Clearly, this is a graph of y=-x as each y-value is a negative of its x-value.

Therefore if:

$y=\dfrac12x-3;$and $\\y=-x\\Then:\\\dfrac12x-3=-x\\\dfrac12x+x=3\\\dfrac32x=3\\3x=6\\x=2$

Recall: y=-x

Therefore: y= -2

Therefore, a solution to the system of equations is (2, -2)

8 0

4 years ago

Read 2 more answers

X/2480=20/100<br> what is x?

Vesnalui [34]

X = 12400

20/100 = 1/5

2480 x 5 = 12400

4 0

3 years ago

Read 2 more answers