All categories

3 years ago

Which system of linear inequalities is graphed below?

Mathematics

1 answer:

andrezito [222]3 years ago

6 0

Answer:

y > 2x - 1

y ≤ 0.5x + 4

Step-by-step explanation:

solid line: (0,4) (-8,0)

m: (0-4)/(-8-0) = -4/-8 = 0.5

b: 4

y = mx + b y = 0.5x + 4

dotted line: (0,-1) (-2,-5)

m = (-5 - -1)/(-2-0) = 2

b = -1

equation: y = 2x - 1

System: y ≤ 0.5x + 4

y > 2x - 1

You might be interested in

The volume of a rectangular prism is 2x^3 + 9x^2 - 8x -36 with height x + 2. Using synthetic division, what is the area of the b

Luba_88 [7]

Answer:

Step-by-step explanation:

x+2=0

x=-2

-2 | 2 9 -8 -36

| -4 -10 36

______________

| 2 5 -18 | 0

area= 2x²+5x-18

5 0

3 years ago

Which equation correctly applies the distributive property?

lesantik [10]

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Distributive law is defined as

$a\times (b+c+d)=a\times b+a\times c+a\times d$

According to option'A', we get that

a =- 3

b = 6

c = 0.4

d = 0.08

So, it becomes,

$-3\times (6.48)=-3\times 6+(-3)\times 0.4+(-3)\times 0.08$

Hence, option 'A' is correct.

8 0

4 years ago

If y represents a number, write an expression that represents the sum of y and a number one greater than y

Dimas [21]

Answer:

2y+1=0

Step-by-step explanation:

a number one greater than y is y+1

so sum of y and y+1= 2y+1

3 0

4 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7Bx%7D%5E%7B2%7D%20%2B%204x%20-%205" id="TexFormula1" title="f(x) = {x}^{2}

frutty [35]

The inverse function theorem says

$\dfrac{\mathrm df^{-1}}{\mathrm dx}(16)=\dfrac1{\frac{\mathrm df}{\mathrm dx}(f^{-1}(16))}$

We have

$f(x)=x^2+4x-5$

defined on $x>-2$ , for which we get

$f^{-1}(x)=-2+\sqrt{x+9}$

and

$f^{-1}(16)=-2+\sqrt{16+9}=3$

The derivative of $f(x)$ is

$f'(x)=2x+4$

So we end up with

$\dfrac{\mathrm df^{-1}}{\mathrm dx}(16)=\dfrac1{\frac{\mathrm df}{\mathrm dx}(3)}=\dfrac1{10}$

6 0

3 years ago

Mary charges $5.60 per square foot of carpet, plus a $150 installation fee. How much should Mary charge the customer to the near

devlian [24]

Answer:

Step-by-step explanation:

Total = t

Square feet = f

t = 5.6f + 150

you didnt say how many square feet the customer wanted, but just plug it in for f and t is the answer

6 0

3 years ago