h and k are just arbitrarily choosen names for these functions, and (x) is the variable we do all the calculations with
example: (x) can be some function, while d(x)= 2*f(x) always doubles what f(x) would give you. and in order to talk about the new function we give it a new name.
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let's have a look into it.
and with a look, I mean a look (screenshot 1)
k(x) basically takes the other equation, doubles its values, but also flips the sign (hence -2*h(x)), and then adds 3 (shifting everything 3 units up)
k(x) is a <em><u>vertical stretch</u></em> [note thatthe zero-pounts stay the same] by a factor of <em><u>-2</u></em>, <em><u>translated up</u></em> [you typed translated right twice, but the +3 in the new equation is safely putting everything 3 units higher].
to be honest, I can't get the meaning of some of the blanks and the options you mentioned don't seem to fit well.
I hope I gave you enough insight to do do the quiz anyways.
pls let me no if you solved it or if you need further explanations.
Answer:
ok
Step-by-step explanation:
The value of x and y in the equation -5x + 8y = -21 and 3x - 4y = 15 are 9 and 4 respectively.
<h3>What is an equation?</h3>
An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
The equation is given as:
-5x + 8y = -21
3x - 4y = 15
Multiply equation i by 3
Multiply equation ii by 5
-15x + 24y = -63
15x - 20y = 75
Add both equations
4y = 12
Divide
y = 12/4
y = 3
From 3x - 4y = 15
3x - 4(3) = 15
3x - 12 = 15
Collect like terms
3x = 12 + 15
3x = 27
Divide
x = 27/3
x = 9
Therefore, x = 9 and y = 4.
Learn more about equations on:
brainly.com/question/2972832
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well, there are $6582 to be distributed among 32 folks.
a)
so the manager thinks 32 goes to 64 twice, that IS correct, however, he doesn't have 64,000 to distribute, only 6400 and a bit more, if he gives 2000 per employee, hell he only has enough for 3 employees, 2000 * 3 = 6000 and he's got 582 leftover maybe for ice-cream to the others, who knows.
b)
6582 ÷ 32 = 205 as quotient and a remainder of 22 bucks.