For all real numbers a, b, and c, which of the following expressions is equal to l a-b-c | ?

Mathematics

1 answer:

Roman55 [17]1 year ago

6 0

Answer:

D/J

Step-by-step explanation:

If a=1 b=2 c=3 the expression is equal to 4

Only D is also equal to 4 because every sign is inverted

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Suppose that r varies directly with s and inversely with t, and r = 2 when s = 3 and t = 12. What is the value of r when s = 5 a

Dmitry_Shevchenko [17]

The statement suppose that r varies directly with s and inversely with t is best represented as:

r α s/t

To make it into equality, we insert a proportionality constant, k:

r = ks/t

Using the initial conditions, we solve for k.

r = ks/t
r = 2 when s = 3 and t = 12

2 = k(3)/12
k = 8

Thus, when s = 5 and t = 4,

r = 8(5)/4
r = 10 -----> OPTION C

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3 years ago

8x – 65 = - x2 [pease help me

Leya [2.2K]

Answer: x=5 or x=−13

Step-by-step explanation:

8x−65=−x2

8x−65−(−x2)=−x2−(−x2)

x2+8x−65=0

(x−5)(x+13)=0

x−5=0 or x+13=0

x=5 or x=−13

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3 years ago

Iodine-131 is a radioactive material with half-life of eight days. A scientist starts with 100 grams of iodinie- 131. Which func

MrRissso [65]

The correct answer is Choice A.

This is an example of an exponential equation, so we need the formula $y=ab^x$ .

The a value is the starting value of 100. The b value must be a decimal lower than 1 because it is decreases.

If you substitute in 8 for x, you will see that the output is about 50 (half of 100).

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3 years ago

Read 2 more answers

Given the functions below, find (g * h)(1). g(x) = x^2 + 4 + 2x. h(x) = -3x + 2

pshichka [43]

Answer:

Step-by-step explanation:

g(x) = x² + 2x+4

h(x) = -3x+2

(g*h)(1) is the same as

g(h(1)) , next solve for h(1) first by substituting in h(x), x with 1

g( h( x= 1)) = g( -3*1 +2) = g( -1) so substitute in g(x) , x with -1