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liraira [26]
3 years ago
12

The cruising speed of the bullet train will be at least 170 miles per hour. Use s to represent the train's cruising speed (in mi

les per hour). Write an inequality to represent the situation
Mathematics
1 answer:
salantis [7]3 years ago
6 0

Answer:

s ≥ 170

Step-by-step explanation:

The problem raises the following statement: "The cruising speed of the bullet train will be at least 170 miles per hour"

Which means that the train has a speed of 170 miles for now or higher, knowing this we can pose the inequality.

Knowing that "s" is the train's cruising speed (in miles per hour), we have to:

s ≥ 170

This would be the inequality that the statement represents.

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[IMPORTANT PLEASE READ!!] I am currently at home, I'm in summer school for Algebra 1. I'm taking a pre-test, once I finish this
Llana [10]
<h2>Answer:</h2>

The vertex of the function is:

                             (-2,-2)

<h2>Step-by-step explanation:</h2>

We are given a absolute value function f(x) in terms of variable "x" as:

                       f(x)=-|x+2|-2

We know that for any absolute function of the general form:

f(x)=a|x-h|+k

the vertex of the function is : (h,k)

and if a<0 the graph of function opens downwards.

and if a>0 the graph of the function opens upwards.

Hence, here after comparing  the equation with general form of the equation we see that:

a= -1<0 , h= -2 and k= -2

Since a is negative , hence, the graph opens down .

         Hence, the vertex of the function is:

                         (-2,-2)

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3 years ago
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Write the expression (2−3i)+5i(1−3i)<br> as a complex number in standard form.
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Answer:

17 + 2i

Step-by-step explanation:

Given

(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis

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= 2 + 2i + 15

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3 years ago
If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?
Vikentia [17]

Answer:

In the world of exponents, 4 is the number being raised by the exponent, which is 2.

Let's answer the first question:

If the base is 4, what is the value if the exponent is 2?

  • The base is 4 and the exponent is 2.  We would multiply 4 two times.

4^2= 4*4 = 16

So, it would be 16.

Let's answer the second question:

What if the exponent is -2?

<u>This is the rule for negative exponents:</u>

a^{-x}=\frac{1}{a^x}

Using this rule, we can solve 4^{-2}.

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So, our answer for the 2nd question is 1/16.

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