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Zinaida [17]
3 years ago
15

State the x- and y-intercepts of each equationy =

a1" title="\frac{3}{4}" alt="\frac{3}{4}" align="absmiddle" class="latex-formula">x + 3
Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

yintercept: (0,3) or 3

x intercept: (-4,0) or -4

Step-by-step explanation:

The y intercept is what you get when x=0

.75*0+3

3

The x intercept is what you get when y=0

0=.75x+3

-3=.75x

-4=x

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What is the area of the shape
Radda [10]

Answer:

A= 18

Step-by-step explanation:

To find the height, find the blocks inside the shape that is completely attached (they have to be in a straight vertical line).  In this case, you can see that three vertical blocks in the middle of the shape is completely attached.  That means your height is 3.

To find the width, look at the how many horizontal boxes make up the top.  6 block inside the shape corispond with 6 blocks on top of the shape, so the width is six.

Multiply 6 by 3 to get 18.

7 0
2 years ago
Solve the following system using substitution
julsineya [31]
Change x+y=5 to y=5-x
x+5-x=-3
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5 0
3 years ago
Read 2 more answers
The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the
erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes  is 0.4786.

Step-by-step explanation:

The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.

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The random variable <em>X</em> follows an Exponential distribution with parameter \lambda=\frac{1}{\beta}=\frac{1}{19}.

The probability distribution function of <em>X</em> is:

f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...

Compute the value of the event (<em>X</em> > 14) as follows:

P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786

Thus, the probability that the wait time is greater than 14 minutes  is 0.4786.

7 0
3 years ago
The quotient of the cube root of x and nine
miss Akunina [59]

Answer:

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8 0
3 years ago
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bogdanovich [222]

Answer:

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Step-by-step explanation:

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  y = m(x -h) +k

Filling in your given values, the equation is ...

  y = -1/5(x -(-3)) +7

  y = -1/5x -3/5 +7 . . . . eliminate parentheses

  y = -1/5x +32/5 . . . . . combine constants

5 0
3 years ago
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