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3 years ago

13

Find the domain of the following piece wise function

1 answer:

anastassius [24]3 years ago

8 0

Answer:

<h2>[-4, 6)</h2>

Step-by-step explanation:

$f(x)=\left\{\begin{array}{ccc}x+4&if&-4\leq x$

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The Mercury Electric Company issued 2,000,000 shares of stock at $62.50 per share. These selling expenses are deducted: commissi

stealth61 [152]

Total expense= sum of all expenses incurred
= commission+legal fees+advertising+printing cost+accounting fees

Total amount of shares sold=$ 2000000 x $62.5
=$ 125000000
commission= 4% of the total amount of shares sold = .04x12500000
=$ 5000000
total expenses= $5000000+$2255500+$450000+$324400+$386000
=$8415900
selling expense/share = $8415900/2000000
=$4.21/shareThe total expense per share is $4.21.

3 0

3 years ago

What is the perimeter of ^PQR with vertices P(-2,9) Q(7,-3) and R(-2,-3) in the coordinate plane?

lukranit [14]

Do I need to show my work?

6 0

3 years ago

Math SAT: Suppose the national mean SAT score in mathematics was 510. In a random sample of 50 graduates from Stevens High, the

sukhopar [10]

Answer:

Mean SAT score for Stevens High graduates are not the same as the national average.

Step-by-step explanation:

We are given the following information in question:

Population mean, μ = 510

Sample mean, $\bar{x}$ = 501

Sample size, n = 50

Alpha, α = 0.10

Sample standard deviation, s = 30

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 510\\H_A: \mu \neq 510$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} }$ Putting all the values, we have,

$t_{stat} = \displaystyle\frac{501 - 510}{\frac{30}{\sqrt{49}} } = -2.1$ Now,

$t_{critical} \text{ at 0.10 level of significance, 49 degree of freedom } = \pm 1.6765$ Since,

$t_{stat} < t_{critical}$

We reject the null hypothesis and fail to accept it.

We accept the alternate hypothesis and mean SAT score for Stevens High graduates are not the same as the national average.

3 0

3 years ago

Write the recursive formula for 16,23,30,37

4vir4ik [10]

Answer:

Arithmetic Sequence

Step-by-step explanation:

Arithmetic Sequence

4 0

3 years ago

The length of a rectangle is x feet. Its width is (x-7) feet. Draw and label a rectangle to represent this situation. Then write

a_sh-v [17]

Answer:

Perimeter of rectangle:

$(4x - 14)\text{ feet}$

Step-by-step explanation:

We are given the following in the question:

Length of rectangle:

$x\text{ feet}$

Width of rectangle:

$(x-7)\text{ feet}$

Perimeter of rectangle:

$2\times \text{(Length + Width)}$

Expressions to calculate perimeter

$1. ~2((x) + (x - 7))\text{ feet}\\2.~2(2x-7)\text{ feet}\\3.~ 4x-14\text{ feet}$

The attached image shows the image of the rectangle.

3 0

3 years ago