Factor out the greatest common factor 15x^2-21x ^=exponent

Himari is solving the equation 4 ( x - 3 ) = 16. Her first step is 4x - 12 = 16. Which step could be the next step? Select all t

Pani-rosa [81]

Answer:

Her next step would be to add 12 to both sides of the equation

Step-by-step explanation:

Which would make the equation 4x=28

Then you divide both sides by 4 giving you x=7

4 0

3 years ago

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At a birthday party there were five more girls than boys. If the ratio of girls to boys was 4 to 3,

exis [7]

Let number if boys be x

No of girls=x+5

ATQ

$\\ \sf\longmapsto \dfrac{x+5}{x}=\dfrac{4}{3}$

$\\ \sf\longmapsto 3(x+5)=4x$

$\\ \sf\longmapsto 3x+15=4x$

$\\ \sf\longmapsto 4x-3x=15$

$\\ \sf\longmapsto x=15$

<h3>Number of girls</h3>

$\\ \sf\longmapsto x+5=15+5=20$

3 0

2 years ago

Determine if the graph is a function then state the domain and range.

nignag [31]

<h3>Explanation</h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.
See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3>Answer</h3>

 $\begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}$ 

Domain is set of all real numbers.

Range is greater or equal to 0.

8 0

2 years ago

The range for the set of data represented by the following box-and-whisker plot is 8.

DIA [1.3K]

Answer:

True

Step-by-step explanation:

The range is the difference between the lowest and the highest values of the set:

19 - 11 = 8

The answer is TRUE

3 0

2 years ago

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Which quadrilaterals are considered parallelogram

Elenna [48]

Answer: Rectangle, Rhombus, Square

Step-by-step explanation:

6 0

3 years ago