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3 years ago

How to find domain and range on functions

1 answer:

6 0

The domain is the set of all possible x-values which will make the function "work", and will output real y-values. When finding the domain, remember: The denominator (bottom) of a fraction cannot be zero. The number under a square root sign must be positive in this section

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Which expression simplifies to 41? Choose all that apply!

Arada [10]

Answer:

None of the expressions is simplified to 41.

Step-by-step explanation:

You have to follow the P.E.M.D.A.S., this is:

P:Parentheses first.

E:Exponent next.

M:Multiplication.

D:Division.

(Multiplication and Division is whichever come first, from left to right)

A: Addition.

S: Subtraction.

(Addition and Subtraction is whichever come first, from left to right).

We are going to analyze every option:

1. 10+ 2.4 - 1

First we have to solve the multiplication:

$10+ 2.4 - 1=10+8-1$

Now we have to solve the addition and subtraction from left to right:

$10+8-1=18-1=17\neq 41$

This is not a correct answer.

2. 10+2.(4-1)

We have to solve the parentheses first:

$10+2.(4-1)=10+2.(3)$

Now the multiplication and then the addition.

$10+2.(3)=10+6=16\neq 41$

This is not a correct answer.

3. (10+23).4-1

We have to solve the parentheses first:

$(10+23).4-1=(33).4-1$

Now the multiplication and then the subtraction:

$(33).4-1=132-1=131\neq 41$

This is not a correct option.

4. $10+(2^2.4)-1$

We have to solve the parentheses first, in the parenthesis first we have to solve: $2^2$ and then do the multiplication.

$10+(2^2.4)-1=10+(4.4)-1=10+16-1$

Now we have to solve the addition and subtraction from left to right:

$10+16-1=26-1=25\neq 41$

This expression is not a correct option.

Then none of the expressions is simplified to 41.

5 0

3 years ago

One solution to a quadratic function, h, is given.

Margaret [11]

Answer:

B. The other solution to function $h$ is $-4-i\,7$ .

Step-by-step explanation:

From Algebra, we remember that quadratic functions of the form $a\cdot x^{2}+b\cdot x + c$ has solutions of the form:

$x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$ , where both are complex if and only if $\sqrt{b^{2}-4\cdot a \cdot c}< 0$ .

Hence, if one solution of the quadratic function is $-4+i\,7$ , then the other solution is $-4-i\,7$ . The correct answer is B.

7 0

3 years ago

What is 10+ 100+199 +900

iris [78.8K]

Answer:

1209

Step-by-step explanation:

hope this helps you!!

MARK AS BRAINLIEST!!

3 0

2 years ago

Read 2 more answers

Hey what's the answer <img src="https://tex.z-dn.net/?f=%20-%2011a%283a%20%2B%202a%29" id="TexFormula1" title=" - 11a(3a + 2a

allsm [11]

Answer:

$- 11a(3a + 2b) \\ = - 11 \times 3 \times a \times a + ( - 11 \times 2 \times a \times a) \\ = - 33 {a}^{2} - 22ab$

I hope it helps

have a great day

$#Liliflim✌️$

7 0

2 years ago

Read 2 more answers

Consider the following system of equations:

Kobotan [32]

Answer:

x=-15, y=25. (-15, 25).

Step-by-step explanation:

2x+3y=45

x+y=10

--------------

x=10-y

2(10-y)+3y=45

20-2y+3y=45

20+y=45

y=45-20

y=25

x+25=10

x=10-25

x=-15

5 0

3 years ago

Read 2 more answers