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2 years ago

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1 answer:

lidiya [134]2 years ago

7 0

Answer:

XnY={1, 2, 3, and 4} and XuY={1, 2, 3, 4 and 5}

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Which expression is equivalent to (8^2)-4 ??

Tamiku [17]

Answer:

Option C $\frac{1}{8*8*8*8*8*8*8*8}$

Step-by-step explanation:

we have

$(8^{2})^{-4}$

Remember that

$(a)^{-b} = \frac{1}{a^{b}}$

$(a^{b})^{c}=(a)^{b*c}$

therefore

$(8^{2})^{-4}=(8)^{-4*2}=(8)^{-8}$

$(8)^{-8} = \frac{1}{8^{8}}$

$\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}$

3 0

2 years ago

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1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):

Aleksandr [31]

1) $y=-0.5x-2$

The graph of the above equation is attached in the attachment below.

For all the values from negative infinity to -4, the function is positive.

X ∈ (-∞,-4]

2) $y=-1.5x+3$

To find the x- intercept, plug y =0

$0=-1.5x+3$

$1.5x=3$

$x=2$

x intercept = (2,0)

To find the y- intercept, plug x=0

$y=-1.5(0)+3$

$y=3$

Y- intercept = ( 0,3)

3) $y=13-x$

Y- intercept = (0,13)

x- intercept = (13,0)

Area of triangle = $\frac{bh}{2}$

Area of triangle = $\frac{13\times13}{2}$

Area = $\frac{169}{2}$ sq unit.

4) The graphs of $y=-2x+7$ and $y=0.5x-5.5$ is attached in the attachment below.

The intersection point is ( 5,-3)

5) A = (-3,0)

B = (4,5)

C = (0,-4)

Slope of AB = $\frac{5-0)}{4-(-3)} =\frac{5}{7}$

Slope intercept of line $y=mx+b$

Where, m is the slope and b is the y- intercept.

Plugging point A and the slope in the y- intercept to find the value of b.

$0=\frac{5(-3)}{7} +b$

$b=\frac{15}{7}$

Equation of line AB: $y=\frac{5x}{7} +\frac{15}{7}$

Slope of BC = $\frac{-4-5}{0-4} =\frac{9}{4}$

Plug C = (0,-4)

$-4=0+b$

b=-4

equation of line BC= $y=\frac{9x}{4} -4$

Slope of line AC = $\frac{-4-0}{0--3} =\frac{-4}{3}$

Equation of line AC = $y=\frac{-4x}{3} -4$

Y intercept of AB = $(0,\frac{15}{7} )$

5 0

3 years ago

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Find the slope of the line that passes through the two points below (-4,4) (-3,9)

diamong [38]

Answer:

5

Step-by-step explanation: this equation works when you are given two points

$\frac{y_{2}-y_{1} }{x_{2} -x_{1} } =slope$

$\frac{9-4}{-3-(-4)} =\frac{5}{-3+4} =\frac{5}{1}=5$

8 0

2 years ago

Noble paid 79.00 net price<br> Offered a 10% trade discount <br><br> What's list price

Yuri [45]

Answer:

80

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Whats 21/40 in equivalent decimals

GREYUIT [131]

The equivalent decimals for 21/40 is 0.525

5 0

2 years ago