What is the algebraic expression for the difference between nine times a number and four more than six times the number?

Mathematics

1 answer:

Mazyrski [523]4 years ago

7 0

Answer:

9n-(6n+4)

Step-by-step explanation:

n is number

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Find f(-3) if f(x)= x^2

horsena [70]

Answer:

$f(-3)=9$

Step-by-step explanation:

we have

$f(x)=x^{2}$

Find f(-3)

we know that

f(-3) is the value of the function f(x) for the value of x equal to -3

substitute the value of x=-3 in the function above to get f(-3)

$f(-3)=(-3)^{2}$

$f(-3)=9$

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3 years ago

In the right triangle shown, what is the cosine of angle C?

DiKsa [7]

Answer:

Since the legs of the right triangle measure x + 1 and x + 15, respectively, and since the hypotenuse measures x + 17, the Pythagorean Theorem can be used as follows: (x + 1)2 + (x + 15)2 = (x + 17)2. This equation becomes (x2 + 2x + 1) + (x2 + 30x + 225) = x2 + 34x + 289, which then becomes 2x2 + 32x + 226 = x2 + 34x + 289. When all the terms are moved to one side, the equation becomes x2 – 2x – 63 = 0, and when the left side of the equation is factored, it becomes (x – 9)(x + 7) = 0. At this point, it seems as if x can equal 9 or –7, but if x were –7, one of the legs would have a negative length, and this is impossible. For this reason x equals 9, and the legs of the triangle measure 10 and 24, respectively, while the hypotenuse measures 26. Since cosine is

length of adjacent leg

length of hypotenuse

, the cosine of angle C is

, or

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3 years ago

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Find the difference in the weights of the largest land mammal, the male African elephant (1.4×104) and the largest sea mammal th

Ivanshal [37]

(4*105)-(1.4*105)
420-145.6
The answer is 274.4

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4 years ago