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choli [55]
2 years ago
10

Which function has the following domain and range? Domain: {-7, -3, 0, 4, 12} Range: {5, 1, 2}​

Mathematics
1 answer:
Shalnov [3]2 years ago
7 0
<h3>Answer:  Choice A</h3>

Reason:

The domain is the set of allowed x inputs. The range is the list of possible y outputs. Each point is of the form (x,y)

For instance, the point (4, 1) means x = 4 is in the domain and y = 1 is in the range. Use the same idea for the other points for choice A.

  • We can rule out choice B since x = -5 is not in the domain. Focus on the point (-5,4).
  • Choice C is ruled out since x = -4 is not in the domain. Focus on the point (-4, 5)
  • Choice D is ruled out since x = -5 is not in the domain. Focus on the point (-5,2)
You might be interested in
Jaclyn estimates the square root of 50 in the following way:
OLga [1]
<h2>Hello!</h2>

The answer is:

a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

\sqrt{200}=14.14

and rounding to the nearest tenth, we have that:

\sqrt{200}=14.1

<h2>Why?</h2>

To solve the problem, we need to remember the following property of square roots:

\sqrt{ab}=\sqrt{a}*\sqrt{b}

We are given the expression:

\sqrt{200}

We can rewrite it by the following way:

\sqrt{100*2}

Now, applying the square root property we have:

\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14

Therefore,

a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

\sqrt{200}=14.14

and rounding to the nearest tenth, we have that:

\sqrt{200}=14.1

Have a nice day!

6 0
4 years ago
7th grade math plz help
olga55 [171]

Step-by-step explanation:

i hope it is helpful

thankyou

4 0
3 years ago
Read 2 more answers
Please help me in Geometry!
Masja [62]

Answer:

You get an perpendicular line through given point.

Step-by-step explanation:

In this method of drawing perpendicular line through given point,

you will draw an arc from given point R, so as to cut given line at A and B.

now ,length RA will be equal to length RB (radius of circle)

now, with length RA you will place compass at A and B to cut the arcs at point P (let) on other side of given line.Now, join PA and PB.  

The closed RAPB makes a rhombus and diagonal bisect perpendicularly in rhombus.

so you get an perpendicular line through given point.

8 0
3 years ago
Read 2 more answers
Help me with my math pls :)
MrMuchimi

Answer:

4(x-8)=-32+4: x=1

2(x-2)=-3-2x: x1/4

3+5x=5(x+2)-7: x=0

8x+38=-3(-6-4x) x=5

Step-by-step explanation:

4(x-8)=-32+4

add subtract the numbers

-32+4=-28

4(x-8)=-28

Divide both sides by 4

\frac{4(x-8)}{4}=\frac{-28}{4}

Simplify

x-8=-7

Add 8 on both sides

x+8-8=-7+8

Simplify

x=1

2(x-2)=-3-2x

  • Expand 2(x-2)
  • apply distributive law: a(b-c)=ab-ac

a=2 b=x c=2

=2x-2·2

  • multiply the numbers

2·2=4

=2x-4

2x-4=-3x-2

  • Add 4 to both sides

2x-4+4=-3-2x+4

  • simplify

2x=-2x+1

  • Add 2x on both sides

2x+2x=2x+1+2x

  • Simplify

4x=1

  • Divide by 4 on both sides

4x÷4=1÷4

  • Simplify

x=1/4

3+5x=5(x+2)-7

<em> We move all terms to the left: </em>

<em> 3+5x-(5(x+2)-7)=0 </em>

<em> We calculate terms in parentheses: -(5(x+2)-7), so: </em>

<em> 5(x+2)-7 </em>

<em> We multiply parentheses </em>

<em>5x+10-7 </em>

<em> We add all the numbers together, and all the variables </em>

<em> 5x+3 </em>

<em> Back to the equation: </em>

<em> -(5x+3) </em>

<em>  We get rid of parentheses </em>

<em> 5x-5x-3+3=0 </em>

<em> We add all the numbers together, and all the variables </em>

<em> =0 </em>

<em> x=0/1 </em>

<em> x=0</em>

8x+38=-3(-6-4x)

Simplifying

8x + 38 = -3(-6 + -4x)

Reorder the terms:

38 + 8x = -3(-6 + -4x)

38 + 8x = (-6 * -3 + -4x * -3)

38 + 8x = (18 + 12x)

Solving

38 + 8x = 18 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.

38 + 8x + -12x = 18 + 12x + -12x

Combine like terms: 8x + -12x = -4x

38 + -4x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0

38 + -4x = 18 + 0

38 + -4x = 18  

Add '-38' to each side of the equation.

38 + -38 + -4x = 18 + -38

Combine like terms: 38 + -38 = 0

0 + -4x = 18 + -38

-4x = 18 + -38

Combine like terms: 18 + -38 = -20

-4x = -20

Divide each side by '-4'.

x = 5

Simplifying

x = 5

Hope this helps

4 0
3 years ago
What is the slope of AC?
Inga [223]

Answer:

\frac{b-d}{a-c}

Step-by-step explanation:

Let (x_1,y_1)=A(a,b) and (x_2,y_2)=C(c,d).

The slope of AC can be found using

m=\frac{y_1-y_2}{x_1-x_2}

Substitute the variables to get;

m=\frac{b-d}{a-c}

4 0
4 years ago
Read 2 more answers
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