MATHEMATICS HIGH SCHOOL

Write a compound inequality that represents the situation. all real numbers at least –6 and at most 3A. –6 ≥ x ≥ 3

B. –6 < x ≤ 3

C. –6 ≤ x ≤ 3

D. –6 < x < 3

Answers

Answer 1
Answer: Hello,

Answer C
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Can you give examples of situations that might be modeled with trigonometric functions?

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The function g(x) = 2x2 – 28x + 3 written in vertex form is g(x) = 2(x – 7)2 – 95. Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of g(x) = 2x2 – 28x + 3?shifted up 3 units
shifted left 7 units
shifted right 7 units
shifted down 3 units

Answers

The function g(x) = 2x^2 - 28x + 3 written in vertex form is g(x) = 2(x - 7)^2 - 95.

You have to do such transformation to obtain the graph of the function g(x) from the graph of the function f(x) (the graph of f(x) is red on the diagram below):

1. translate graph of the function y=f(x) right 7 units to get graph of the function f_1(x)=(x-7)^2 (blue curve);

2. shrink twice in y-direction the graph of f_1(x) to obtain the graph of the function f_2(x)=2(x-7)^2 (green curve);

3. translate graph of the function f_2(x) down 95 units to get the graph of the function y=g(x)=2(x-7)^2-95 (orange curve).

From these steps the only possible choice of transformations is C - shifted right 7 units.
The vertex form tells us the answer. This is the general vertex form a parabola:
y = a(x-h)^2 + k 

a indicates any stretching or shrinking
h indicates any shifting to the left (if h is positive) or the right (if h is negative)
k indicates any shifting up (if k is positive) or down (if k is negative)

Therefore, the transformation that apply is only
shifted right 7 units

Please explain each step 5x-7=7x-17

Answers

Let's get the same terms on the same side.
I am going to remove 5x from both sides of the equation by subtracting 5x

5x - 5x -7 = 7x -5x - 17
           -7 = 2x - 17   now lets remove the 17 from both sides
       -7 + 17 = 2x     (why do we add 17?  Think of 2x -17 as 2x +  -17.  Tor remove a negative number we add it.
Now we finally have     10=2x and if we divide both sides by 2

10  = 2x
2       2    we get that x = 5
Let's check by substituting 5 in the original equation:
5(5) - 7 = 7(5) - 17
25 - 7 = 35 - 17
18      =       18

Sam had four test last month his scores were 81 94 83 and 91 what is the median of his scores

Answers

put them in order of least to greatest and then cross out them till you get the middle number. 81,83,91,94. answer is 91.

Melanie invested $3,800 in an account paying an interest rate of 2% compoundedquarterly. Sebastian invested $3,800 in an account paying an interest rate of 2%
compounded monthly. After 6 years, how much more money would Sebastian have in
his account than Melanie, to the nearest dollar?

Answers

Answer:

101

Step-by-step explanation:

Answer:101

Step-by-step explanation:

Which inequality best represents that ice cream at −5°C is cooler than ice cream at 4°C?−4°C > 5°C
−4°C < 5°C
4°C < −5°C
4°C > −5°C

Answers

(<) this means less than 
(>) this means greater than
So since the question doesnt say anything about -4°C we can automatically cross out A and B 
They are both negative! but when you have a negative. Its going to be less than a positive 
So this means 4°C is greater than -5°C 
or in other words
D.) 4°C > -5°C
hope this helps! 
and dont forget 2 
MARK ME BRAINLIEST! 
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Answer:

Step-by-step explanation: <=less than >=greater than. they want -5 is greater than 4. so it would be -5>4
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