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3 years ago

Write the following as an inequality.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

6 0

Answer:

-2 < w ≤ 6

Step-by-step explanation:

The inequalities you're asked to combine are ...

-2 < w

6 ≥ w

Turn one of these around so the "arrows" point in the same direction. (My preference is that they point to the left.) Now you have ...

-2 < w

w ≤ 6

You combine these by putting w in the middle:

-2 < w ≤ 6

_____

Alternate solution

I like the above solution because it puts the components of the expression in the same (left-right) order as they appear on a number line. However, both inequalities can be turned around to get ...

6 ≥ w > -2

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PLZ HELP !! Which of the points (s, t) is not one of the vertices of the shaded region of the

stira [4]

Answer:

A(0,10)

Step-by-step explanation:

Given the 4 inequalities:

s ≥ 12 - 0.5t (1)

s ≥ 10 -t (2)

s ≤ 20-t (3)

s ≥ 0

t ≥ 0

Let analyse all 4 possible answer:

A(0, 10)

Let substitute this point into (1) we have: 10 ≥ 12 -0.5*0 Wrong

We do not choose A

B (0, 20)

Let substitute this point into (1) we have: 20 ≥ 12 -0.5*0 True

Let substitute this point into (2) we have: 20 ≥ 10 - 0 True

Let substitute this point into (3) we have: 20 ≤ 20 - 0 True

We choose B as the vertex

C. (4, 16)

Let substitute this point into (1) we have: 16 ≥ 12 -0.5*4 True

Let substitute this point into (2) we have: 16 ≥ 10 - 4 True

Let substitute this point into (3) we have: 16 ≤ 20 - 4 True

We choose C as the vertex

D. (16,4)

Let substitute this point into (1) we have: 4 ≥ 12 -0.5*16 True

Let substitute this point into (2) we have: 4 ≥ 10 - 16 True

Let substitute this point into (3) we have: 4 ≤ 20 - 16 True

We choose B as the vertex

Hence, the point A(0,10) is not one of the vertices of the shaded region of the set of inequalities.

3 0

3 years ago

$10,000 for 20 years at 5% compounded annually

saveliy_v [14]

Answer:

$26532.98

Step-by-step explanation:

Given:

Principal = $10000
Profit rate = 5% PA compounded
Time = 20 years
Compounds = 20*1 = 20

Sum is:

10000*(1 + 5/100)²⁰ ≈ 26532.98

3 0

3 years ago

If the graph of a quadratic does not intercept the x axis at any point, then it has:

katrin [286]

Answer:

No real roots

Step-by-step explanation:

Roots of a quadratic are the x-intercepts of the graph

3 0

3 years ago

Algebra Find the values for x and y in parallelogram ABCD. AE= 2x, EC=y+4, DE=x, EB=2y-1. AC and BD intersect at point E

erastova [34]

Answer:

−

Step-by-step explanation:

6 0

3 years ago

What is the value of "c" in the following quadratic? (Make sure the equation is in

garri49 [273]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}$

What is the value of c in the quadratic $\large\text{$x^2+28=-11x$}$ ?

$\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

Before starting to solve, you should notice something - the

quadratic is not in its standard form!

We can easily fix it by adding $\large\textit{11x}$ on both sides:-

$\large\text{$x^2+28-11x=0$}$

We can switch the order of 28 and -11x:-

$\large\text{$x^2-11x+28=0$}$

Now, the quadratic is in its standard form, so we can get down to

finding the value of "c".

Remember, the standard form of a quadratic looks like so:-

$\large\text{$ax^2+bx+c=0$}$

Now we can just write our quadratic here:-

$\large\text{$x^2-11x+28=0$}$

Now, can you see what the value of "c" is?

An easy way to remember "c" in quadratics is:-

The "c" in quadratics is the constant.

Henceforth, we conclude that the value of "c" in the given quadratic is:-

$\Large\textbf{28}\Large\checkmark$

<h3> Good luck with your studies.</h3>

$\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}$

5 0

2 years ago