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3 years ago

If x = -2, which inequality is true?

Mathematics

2 answers:

Anettt [7]3 years ago

4 0

It’s J, 3 - X would equal 3 - (-2) which turns into 3+2 which equals 5 but 5 is not greater than 10

kaheart [24]3 years ago

4 0

Answer:

3 - x <10

Step-by-step explanation:

plug in -2 as x in each equation and see if its true

2(-2) + 6 < -1 -- false

2(-2) - 3 > 6 false

-5 + 3(-2) > 1 false

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uranmaximum [27]

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4 0

2 years ago

Does it have an inverse if so what is it?

lidiya [134]

Answer:

no it does not have an inverse. because the determinate is 0 and you can't find the inverse of 0

6 0

2 years ago

1.2, 3, 7.5, 18.75, ...<br><br> Which formula can be used to describe the sequence?

Nady [450]

Answer:

The formula is:

$a_n=1.2(\frac{5}{2})^{n-1}$

Step-by-step explanation:

The geometric sequences are those in which the division between the terms $a_{n + 1}$ and $a_n$ of the sequence are equal to a constant common reason called "r"

The geometrics secencias have the following form:

$a_n=a_1(r)^{n-1}$

Where $a_1$ is the first term of the sequence

In this sequence we have the following terms

1.2, 3, 7.5, 18.75

Then notice that:

$\frac{3}{1.2}=\frac{5}{2}\\\\\frac{7.5}{3}=\frac{5}{2}\\\\\frac{18.75}{7.5}=\frac{5}{2}$

Then:

$r=\frac{5}{2}$ and $a_1=1.2$

Finally the formula is:

$a_n=1.2(\frac{5}{2})^{n-1}$

5 0

3 years ago

Read 2 more answers

Given ABCE is a rectangle, find the length of AD<br><br> Help me

MakcuM [25]

Answer:

AD = 10

Step-by-step explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

= 6² + 8²

AD = $\sqrt{36+64}$

= $\sqrt{100}$

= 10

Therefore, measure of side AD = 10 units

4 0

2 years ago

I NEED HELP WITH THIS PLEASE !!! AND EXPLAINED PLEASE!

Ksenya-84 [330]

Answer:

Step-by-step explanation:

Find the vertex and intercepts of y = 3x2 + x – 2 and graph; remember to label the vertex and the axis of symmetry.

This is the same quadratic as in the last example. I already found the vertex when I worked the problem above. This time, I also need to find the intercepts before I do my graph. To find the y-intercept, I set x equal to zero and solve:

y = 3(0)2 + (0) – 2

= 0 + 0 – 2 = –2

Then the y-intercept is the point (0, –2). To find the x-intercept, I set y equal to zero, and solve:

0 = 3x2 + x – 2

0 = (3x – 2)(x + 1)

3x – 2 = 0 or x + 1 = 0

x = 2/3 or x = – 1

Then the x-intercepts are at the points (–1, 0) and ( 2/3, 0).

The axis of symmetry is halfway between the two x-intercepts at (–1, 0) and at ( 2/3 , 0); using this, I can confirm the answer from the previous page:

(–1 + 2/3) / 2 = (–1/3) / 2 = –1/6

The complete answer is a listing of the vertex, the axis of symmetry, and all three intercepts, along with a nice neat graph:

The vertex is at ( –1/6 , –25/12 ), the axis of symmetry is the line x = –1/6 , and the intercepts are at (0, –2), (–1, 0), and ( 2/3, 0).

graph of y = 3x^2 + x - 2 with vertex and intercepts marked.

Find the intercepts, the axis of symmetry, and vertex of y = x2 – x – 12.

To find the y-intercept, I set x equal to 0 and solve:

y = (0)2 – (0) – 12 = 0 – 0 – 12 = –12

To find the x-intercept, I set y equal to 0 and solve:

0 = x2 – x – 12

0 = (x – 4)(x + 3)

x = 4 or x = –3

To find the vertex, I look at the coefficients: a = 1 and b = –1. Plugging into the formula, I get:

h = –(–1)/2(1) = 1/2 = 0.5

To find k, I plug h = 1/2 in for x inside y = x2 – x – 12, and simplify:

k = (1/2)2 – (1/2) – 12 = 1/4 – 1/2 – 12 = –12.25

Once I have the vertex, it's easy to write down the axis of symmetry: x = 0.5. Now I'll find some additional plot points, to fill in the graph:

T-chart

graph of y = x^2 - x - 12

The vertex is at the point (0.5, –12.25),

the axis of symmetry is the line x = 0.5,

and the intercepts are at the points (0, –12), (–3, 0), and (4, 0).

4 0

3 years ago