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2 years ago

Which of the following is a solution of y > |x| - 6? (-5, 1) (-1, -5) (5, -1)

Mathematics

2 answers:

damaskus [11]2 years ago

6 0

Answer A is the correct one

levacccp [35]2 years ago

4 0

Absolute value of x minus 6 is less than y
one way is to jsut make all the x's positive, then subtract them from 6 and see if they are less

sorry for confusing, just read below

(-5,1)
1>|-5|-6
1>5-6
1>-1
true

(-1,-5)
-5>|-1|-6
-5>1-6
-5>-5
false

(5,-1)
-1>|5|-6
-1>-1
false

answer is (-5,1)

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What is the factored form of the function f(x)=x^3+8x^2+5x−50?

Inga [223]

Answer:

the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

Step-by-step explanation:

We need to factorise the function $f(x)=x^3+8x^2+5x-50$

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

$f(1)=(1)^{3}+8(1)^2+5(1)-50\\f(1)=1+8+5-50\\f(1)=-32\\Now \ putting \ x= 2 \\f(2)=(2)^{3}+8(2)^2+5(2)-50\\f(2)=8+8(4)+10-50\\f(2)=8+32+10-50\\f(2)=0$

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of $x^3+8x^2+5x-50$ by (x-2) to find other factors

The long division is shown in figure attached.

After long division we get: $x^2+10x+25$

The equation $x^2+10x+25$ can be further simplified as: (x+5)(x+5) or (x+5)^2

So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

3 0

3 years ago

Use the Change of Base Formula to evaluate log3 58. Then convert log3 58 to a logarithm in base 4. Round to the nearest thousand

Natali5045456 [20]

Hello,

$log_3(58)= \dfrac{ln(58)}{ln(3)}=3,69597450... \\

log_3(58)=log_4(x)\\

 \dfrac{ln(58)}{ln(3)} = \dfrac{ln(x)}{4}==\textgreater\ x=e^{ \frac{ln(58)*ln(4)}{ln(3)}}\\

 =167,957104437222249066099...

$

≈167.96

5 0

2 years ago

Read 2 more answers

Which number is between 0.4 and 0.5? A 0.04 (В 0.44 0.05 0.50

Katen [24]

.44 is the correct answer

5 0

2 years ago

Need help............

taurus [48]

9514 1404 393

Answer:

Perimeter: 17 inches

Area: 8 square inches

Step-by-step explanation:

The ratio of perimeters is the same as the similarity ratio.

JKLM perimeter / ABCD perimeter = P/68 = 1/4

Multiplying by 68, we get ...

P = 68/4 = 17 . . . . inches

The ratio of areas is the square of the similarity ratio.

JKLM area / ABCD area = A/128 = (1/4)^2

Multiplying by 128, we get ...

A = 128/16 = 8 . . . . square inches

Perimeter = 17 inches

Area = 8 square inches

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2 years ago

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ivanzaharov [21]

Answer: Its A, Your Welcome.

Step-by-step explanation:

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3 years ago