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muminat
1 year ago
14

-5 / 3 + 4k / = -115

Mathematics
1 answer:
valkas [14]1 year ago
8 0

Answer:

\frac{11}{2} ,-\frac{13}{2}

Step-by-step explanation:

we know That l x l = x when x > 0 and l x l = - x when x <0

for the given equation - 5|3 + 4k| = - 115

when 3 + 4k > 0 the equation becomes

-5(3+4k) = - 115

→ -5 · 3 - 5 · 4k = - 115

→- 20k = - 115 + 15 = - 110

→ k = -\frac{110}{-20}  = \frac{11}{2}

Again when 3 + 4k <0 the equation becomes

-5(-(3+ 4k )) = - 115

→15 + 20k = - 115

→ 20k = - 115 - 15

→ 20k = - 130

⇒ k = -\frac{130}{20} = -\frac{13}{2}

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Y=2x
worty [1.4K]

this is the answer hope it helps you

4 0
3 years ago
Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?
Makovka662 [10]

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that a = -3, b = 3

f(x) = x^2 + 3x + 6

So

f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24

f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6

Average rate of change

A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5

The average rate of change of the function over the interval is 5.

8 0
3 years ago
The price of an item has been reduced by 40%. The original price was $66. Find the price of the item now.
serious [3.7K]

Answer:

$39.60

Step-by-step explanation:

We are finding 66 - 40%

66 less 40% = 60% of 66

60% of 66 is the price of the item now.

Convert 60% to decimal form by dividing by 100.

60%/100 = 0.60

Multiply the decimal form by 66

66 X 0.6 = 39.60

Since we are dealing with money, keep 2 decimal places, even if the last digit is 0.

The price of the item now is $39.60.

7 0
3 years ago
Help please! I will mark Brainiest!!
aleksklad [387]

Answer:

It is equal to each other

Step-by-step explanation:

\sqrt{\frac{1}{x^2}} = \frac{1}{x}\\\sqrt[3]{\frac{1}{x^3}} = \frac{1}{x}

6 0
2 years ago
What value of r is the solution of the equation 3/4r = 7/3
Liula [17]
R= 28/9. Hope this helps
4 0
3 years ago
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