MATHEMATICS HIGH SCHOOL

Solve the inequality:

4|x+5| -2 <10

Answers

Answer 1
Answer: 4 |x + 5| - 2 < 10 4 |x + 5| - 2 < 10
4 |x + 5| < 12 4(x + 5) - 2 < 10
------------ ----- 4x + 20 - 2 < 10
4 4 4x + 18 < 10
|x + 5| < 3 4x < -8
-x - 5 < 3 ---- ------
-x < 8 4 4
---- --- X < -2
-1 -1
X > -8

-8 < x < -2

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Assume that lines a and b are parallel, and the given angles are given in degrees. What is the value of x? (Equation: 2x + 90 = x + 95)

Answers

Answer:

703 alomejor pueden ser

In how many ways can a committee of 6 be chosen from 5 teachers and 4 students if the committee must include 3 teachers and 3 students?

Answers

[5! / 3! * 2!] *[4! / 3! * 1!] = ( 20 / 2 ) * 4 = 40 ways;

If f(x) = x3 – 2x2, which expression is equivalent to f(i)? A) –2 + i
b) –2 – i
c) 2 + i
d) 2 – i

Answers

Answer

d) 2 – i


Explanation

f(x) = x³ – 2x²

When x = i, we proceed as follows.

Note: i =

          i² =(√-1)(√-1) =  -1

          i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i

f(x) = x³ – 2x²

f(i) = i³ – 2i²

     = -i – 2(-1)

     = -i + 2

      = 2 – i

Answer:

f(i)=2-i

d is the correct option.

Step-by-step explanation:

The given function is f(x)=x^3-2x^2

Substitute x = i, to find f(i)

f(i)=i^3-2(i)^2

We can rewrite this as

f(i)=i^2\cdot i-2(i)^2

Now, we know thati^2=-1. Thus, we have

f(i)=(-1)\cdot i-2(-1)

On simplifying, we get

f(i)=-i+2\n\nf(i)=2-i

d is the correct option.

Use the distributive property to multiply

-7 (2x - 4)

I think it's -14x + 28

Answers

-14x+28 is correct. Good job!
It is-14x + 28 way to go!

Which of the following lines is parallel to the line y=−12x−6?Select one:
a. y=−12x−6
b. y=2x+1
c. y=−12x+5
d. y=12x−3

Answers

C because they have the same slope of -12x

3x+4+5x+10 simplify combining like terms

Answers

Answer:

\boxed{ \bold{ \sf{ \huge{ \bold{8x + 14}}}}}

Step-by-step explanation:

\sf{3x + 4 + 5x + 10}

Collect like terms

Like terms are those which have the same base. Only coefficient of like terms can be added or subtracted.

⇒\sf{3x + 5x + 4 + 10}

⇒\sf{8x + 4 + 10}

Add the numbers

⇒\sf{8x + 14}

Hope I helped!

Best regards!!

Answer:

\Large \boxed{8x+14}

Step-by-step explanation:

3x+4+5x+10

Grouping the like terms.

(3x + 5x) + (4+10)

Combining the like terms.

8x+14
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