All categories

4 years ago

Below is the graph of equation y= |x+2| −1. Use this graph to find all values of x such that y<0

Mathematics

1 answer:

Juliette [100K]4 years ago

4 0

Answer:

The value of $x\in (-3,-1).$

Step-by-step explanation:

The graph of $y=|x+2|-1$ in attachment.

Using graph to find the value of x such that y<0

y<0, It means all the values of y are negatives.

As we know, negative value of y always below x-axis.

In the graph, we can see between -3 to -1 graph shown below x-axis.

Therefore, all the values of y as $x\in (-3,-1)$ are negatives.

Hence, the value of $x\in (-3,-1).$

You might be interested in

A: 5x − 2y = 10

Nuetrik [128]

Answer:

D) Multiply A by -4 and B by 5

Step-by-step explanation:

5x-2y=10

4x+3y=7

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

-4(5x-2y)=-4(10)

5(4x+3y)=5(7)

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

-20x+8y=-40

20x+15y=35

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

23y=-5

y=-5/23

5x-2(-5/23)=10

5x+10/23=10

5x=10-10/23

5x=230/23-10/23

5x=220/23

x=(220/23)/5

x=(220/23)(1/5)

x=220/115

x=44/23

7 0

4 years ago

Which of the following numbers is the slope of the line tangent to the curve y=x2+5x at x=3?

laila [671]

Y-f(a)=f’(a)(x-a)
Y-24=11(x-3)

7 0

3 years ago

I need help with these!

Harman [31]

Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

It is given that:

Length of mid-segment = 54

Length of parallel side = 3n

By using mid-segment theorem for the given triangle, we get

$54=\dfrac{1}{2}(3n)$

$2\times 54=3n$

$108=3n$

Divide both side by 3.

$\dfrac{108}{3}=n$

$36=n$

Hence, the value of n is equal to 36.

10.

It is given that:

Length of mid-segment = 4n+5

Length of parallel side = 74

By using mid-segment theorem for the given triangle, we get

$4n+5=\dfrac{1}{2}(74)$

$4n+5=37$

$4n=37-5$

$4n=32$

Divide both side by 4.

$n=\dfrac{32}{4}$

$n=8$

Hence, the value of n is equal to 8.

3 0

3 years ago

Suppose that you are asked to conduct a study to determine whether smaller class

weeeeeb [17]

Answer:

a. correlation

b. inverse linear correlation exists If the higher the population of students lead to a decrease in test score,

c. yes

Step-by-step explanation:

a. Correlation is a measure of the amount of association existing between two variables.

b. For linear correlation, if points are plotted on a graph and all the points lie on a straight line, then perfect linear correlation is said to exist. When a straight line having a positive gradient can reasonably be drawn through points on a graph positive or direct linear correlation exists,

Similarly,when a straight line having a negative gradient can reasonably be drawn through points on a graph, negative or inverse linear correlation exists,

The results of this determination give values of r lying between +1 and −1, where +1 indicates perfect direct Positive linear correlation and −1 indicates perfect inverse correlation or Negative linear correlation and 0 indicates that no correlation exists.

If the higher the population of students lead to a decrease in test score, there will definitely be a negative correlation between class size and test score. i.e low class size result in high test score which consequently lead to high performance.

c. YES

A negative correlation means low class size result in high test score which consequently lead to better performance.

8 0

4 years ago

Graph the function represented in the table on the coordinate plane.

Lena [83]

Step-by-step explanation:

We are given the co-ordinates,

x : -2, -1, 0, 1, 2

y : 8, 5, 2, -1, -4

According to the graph, we see that this function represents a straight line.

The general form of the straight line is y = mx + c, where m is the slope and c is the y-intercept.

So, taking any two points we will find the equation of the straight line.

Consider, (0,2) and (1, -1). Now, slope is given by,

m = $\frac{-1-2}{1-0}$

i.e. m = -3

Now, we will find the y-intercept of this equation using (0,2) and m = -3,

i.e. y = -3x + c

i.e. 2 = c

Hence, the equation of the straight line is y = -3x + 2.

6 0

4 years ago