You can set up a system of equations with x being the smaller number and y being the larger number. So the first equation would be 2y=5x-14 and the second equation would be x=y-2. You can solve by substitution and substitute y-2 into the x in the first equation to get 2y=5(y-2)-14. You can solve this out and it ends up simplifying to y=8. So you know the larger number is 8. So since the larger number is 8 and they are consecutive even integers, the smaller number must be 6. So the two numbers would be 6 and 8.
Answer:
(f + g)(x) = x² + 4x - 4
Step-by-step explanation:
The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) <----- Original statement
f(x) + g(x) <----- Rewrite
(4x + 1) + (x² - 5) <----- Substitute the equations in f(x) and g(x)
4x + x² - 4 <----- Add 1 and -5
x² + 4x - 4 <----- Rearrange the terms
Answer:
why so many periods/dots whatever you wanna call them???
Step-by-step explanation:
Hope you have an amazing rest of your day/week!!!
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using <em>double angle trigonometric</em> functions.
<h3>How to simplify an expression by trigonometric expressions</h3>
<em>Trigonometric</em> expressions are formulas that utilize <em>trigonometric</em> functions. <em>Trigonometric</em> functions are a kind of <em>trascendental</em> functions, that is, functions that cannot be described in <em>algebraic</em> terms.
In this question we must simplify a given expression by using the following trigonometric formula:
<em>sin 2x = 2 · cos x · cos x</em> (1)
Now we proceed to expand the expression given:
x = sin 32
x = 2 · sin 16 · cos 16
x = 4 · sin 8 · cos 8 · cos 16
x = 8 · sin 4 · cos 4 · cos 8 · cos 16
Thus,
sin 4 · cos 4 · cos 8 · cos 16 = x/8
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using <em>double angle trigonometric</em> functions. 
To learn more on trigonometric functions, we kindly invite to check this verified question: brainly.com/question/6904750
Males females total
brown hair = 5 = 8 13
blonde hair= 7 =4 11
other males= 6 other females= 9 other total= 15
total males= 18 total females= 21 total for total in general is 39