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2 years ago

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I need help please 36 points

1 answer:

geniusboy [140]2 years ago

5 0

Using the power of zero property, we find that:

a) The simplification of the given expression is 1.

b) Since , equivalent expressions are: and .

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The power of zero property states that any number that is not zero elevated to zero is 1, that is:

Thus, at item a, , thus the simplification is .

At item b, equivalent expressions are found elevating non-zero numbers to 0, thus and .

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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

Read 2 more answers

What is the y and x intercepts .

hichkok12 [17]

Answer:

y-intercept: (0, -5)

x-intercepts: (-5, 0) , (1, 0)

4 0

2 years ago

If a bill totals 123.85 with 5% tax and 18% tip what is the total bill

lianna [129]

Answer:

$152.33

Step-by-step explanation:

123.85 x 0.05 = $6.19

123.85 x 0.18 = $22.29

123.85 + 6.19 + 22.29 = $152.33

6 0

2 years ago

V + 9<br> ---------- = 8 <br> 3<br><br> Can someone help me ??

bagirrra123 [75]

$\frac{v + 9}{3} = 8$

Multiply both sides by 3, because 3 is our denominator (bottom number in a fraction), and we want to get rid of the denominator.

3 × (v + 9) = 8 × 3

Simplify.

3v + 27 = 24

Then, subtract both sides by 27.

3v = 24 - 27

Simplify.

3v = -3

Divide both sides by 3.

v = -1

~Hope I helped!~

4 0

3 years ago

The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and

-Dominant- [34]

Answer:

The actual dimensions of the kitchen are $12\ ft$ by $14\ ft$

Step-by-step explanation:

step 1

Find the scale of the drawing

To find the scale , remember that is equal to the ratio of the corresponding dimension in the drawing divided by the corresponding actual dimension

so

$\frac{0.8}{4}\frac{in}{ft}=0.2\frac{in}{ft}$

step 2

To find the actual dimensions of the kitchen, divide the dimension in the drawing by the scale

so

$2.4\ in=2.4/0.2=12\ ft$

$2.8\ in=2.8/0.2=14\ ft$

6 0

2 years ago