Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x. −6x − 10 > 14 + 2x _______________ −8x > 24 x < −3 −4x − 10 > 14 −8x − 10 > 14 −4x − 10 < 14 −8x − 10 < 1

Answers

Answer 1

Answer: If you would like to find the missing step, you can do this using the following steps:

- 6 * x - 10 > 14 + 2 * x
- 6 * x - 2 * x - 10 > 14
- 8 * x - 10 > 14
- 8 * x > 24 /(-8)
x < 24 / (-8)
x < - 3

The correct missing step would be - 8 * x - 10 > 14.

Answer 2

Answer: the missing answer is - 8 * x - 10 > 14.

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What is the relationship between the sine and cosine of complementary angles? Please give an example to support your answer.

Answers

The sine of any acute angle is equal to the cosine of its complement. Meanwhile, the cosine of any acute angle is equal to the sine of its complement. Sine and cosines are called "cofunctions".

In a class test.containing 15 questions 4 marks are given for every correct answer and -2 marks are given for every wrong answer james attempt all the question but only 9 of his answers correct .What is his total score

Answers

Answer:

Step-by-step explanation:

(9*4) + (6*2)

36 + 12

= 48

Step-by-step explanation:

no:questions=15

correct questions =9

marks for correct answers =9×4=36

incorrect answers=6

marks for incorrect answers =(-2)×6=(-12)

full marks =36 - (-12)

=36 + 12

=48

Mr. Ferrier invested $26,000. Some was invested in bonds that made a 5% profit, and the rest was put in stocks that made an 8% profit. How much did mr. Ferrier invest in bonds if his total profit on both types of investments was $1,420

Answers

Answer:

$22000

Step-by-step explanation:

x*0.05+(26000-x)*0.08= 1420

0.05x - 0.08x + 2080= 1420

0.03x=2080 -1420

0.03x= 660

x= 660/0.03

x= 22000

$22000 = 5% bonds

$4000 = 8% stocks

Answer:

bonds=22000

stock=4000

Step-by-step explanation:

let b for bonds , and s for stock

b+s=26000

0.05 b +0.08 s=1420

to solve (by elimination)

1- multiply first equation with 0.05 to eliminate b

0.05 b+0.05 s=1300

0.05b+0.08s=1420

subtract two equations:

0.05b+0.05s-0.05b-0.08s=1300-1420

-0.03s=-120

s=120/0.03=4000

b+s=26000

b=26000-4000=22000

check:0.05(22000)+0.08(4000)=1420

What is the value of f(-4) in the piecewise function f(x)= -x-5 for -5<= x <= -2; -x^2+1 for -2<=x<=2; (x-3)^2+2 for 2<=x<=4? If that makes any since

Answers

Answer:

The value for f(-4) in the piecewise function is -1

Step-by-step explanation:

As the function is defined by pieces we must choose the correct interval when replacing. In this case, the value of the function needs to be calculated in x=4.

This value of x is within the interval:

-5<=x<=-2

Therefore we replaced in the corresponding expression:

f(x)=-x-5

f(-4)=-(-4)-5=-1

Take into account this case is not particularly a function since, for example, in the value of x=-2 the expression can take two values corresponding to two different pieces. The obtained result is only valid in the range for -5<=x<=-2.

We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.

Then, we use direct substitution:
f(-4) = -(-4) - 5
f(-4) = -1

Please help I need an answer please help

Answers

Answer:

The answer is 38-2c=15c+4

Step-by-step explanation:

hope that helps

Find any real solutions for the following quadratic equations.2 x2 - 8 = 0

x2 = -5

Answers

Hello,
I) 2(x²-4)=0
==>(x-2)(x+2)=0
==>x=2 or x=-2

II)
No real solutions.

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