15 points to the answer

Identify the domain and range of each graph

vova2212 [387]

Answer:

Step-by-step explanation:

You didn't mark your graph but I'm assuming the point is (1,2)

You notice how the function stops at the point? x and y can not be above that point because there is no line above it.

The domain of the function means what can x possibly be.

The maximum value of x in this function is 1 because that's the x value of the point where the function ended. This means x can at most be one or x≤1. So the domain is x≤1.

The range of the function means what can y possibly be.

The maximum value of y in this function is 2 because that's the y value of the point where the function ended. This means y can at most be two or y≤2. So the range is y≤2.

3 0

3 years ago

What is the value of c in the equation below? 2^-4(2^2)=a^b=c

Triss [41]

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

${a}^{ - n} = \frac{1}{ {a}^{n} }$

So for this question :

${2}^{ - 4} \times {2}^{2}$

$= {2}^{ - 4 + 2}$

$= {2}^{ - 2}$

${a}^{b} = c \\ c = {2}^{ - 2}$

$c = \frac{1}{ {2}^{2} }$

$c = \frac{1}{4}$

5 0

3 years ago

Find the common difference for the arithmetic sequence. 1.7, 2.7, 3.7 4.7.....

Anni [7]

Answer:

Step-by-step explanation:

You do not need to where the formula comes from but, just for fun, here’s a hint

To add up the numbers 1 to 10

Write out the numbers

1 2 3 4 5 6 7 8 9 10

Write them backwards

10 9 8 7 6 5 4 3 2 1

Add up both lists

11 11 11 11 11 11 11 11 11 11

This is 10 × 11 = 110

But this is twice the sum as two lots were added together

So the sum of the numbers 1 to 10 is 110 ÷ 2 = 55

ArSeqSum Notes fig4, downloadable IGCSE & GCSE Maths revision notes

5 0

3 years ago

Note: A maximum number of 4 points are available for this question. Part A is worth 1 point. Part B is worth 1 point. Part C is

vovikov84 [41]

Answer:

There is a decreasing pattern the farther they are the less likely hit the target.

Step-by-step explanation:

4 0

3 years ago

Find the distance between the points L(7,-1) and M(-2, 4).

zysi [14]

Answer:

The answer is

$\sqrt{106} \: \: \: or \: \: \: 10.3 \: \: \: \: units$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

L(7,-1) and M(-2, 4)

The distance between them is

$|LM| = \sqrt{ ({7 + 2})^{2} + ( { - 1 - 4})^{2} } \\ = \sqrt{ {9}^{2} + ({ - 5})^{2} } \\ = \sqrt{81 + 25} \\ = \sqrt{106} \: \: \: \: \: \: \: \\ = 10.29563014...$

We have the final answer as

$\sqrt{106} \: \: \: or \: \: \: 10.3 \: \: \: \: units$

Hope this helps you

4 0

3 years ago