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fredd [130]
3 years ago
15

which graph represents the solution set of the system of inequalities? (is my selected answer correct, if not please help!!)

Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

the graph on the right-top

Step-by-step explanation:

Transferring an "x" to the right side in x+y\ge-3, we get y\ge -x-3

The system of inequalities is

\left \{ {{y

We have y=2x+2 - ascending function with a=2, b=2

b=2 shows that ascending function intersects Y-axis is in y=2 - that situation is only on the right-top and left-down. So, we refuse left-top and right-down.

y=-x-3 - descending function with a=-1, b=-3

y<2x+2 is an area below the ascending function and we see that on the left-

y\ge-x-3 is an area above the descending function

On the left-down we have an area above both functions, so we refuse this picture

Right-top is correct


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an initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. how long will it take to double t
tino4ka555 [31]

Answer:

20 years

Step-by-step explanation:

9000/ 100= 900 = 10%

900/2= 450

450 x 2= 900

900 x 10= 9000

Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.

8 0
3 years ago
Diameter Radius Area Circumference of= 132
AveGali [126]

Answer:

lets \:  \: find \:  \:  \: the \:  \:  \: radius \\ 2\pi \: r = 132 \\   \frac{2\pi \: r}{2\pi}  =  \frac{132}{2\pi}  \\ r = 21.01

lets \:  \:  \: find \:  \:  \: the \:area \: now \\  = \pi {r}^{2} \\  = \pi \times  {21.01}^{2}   \\  = 1,386.76

lets \: fin d\:  \:  \: the \:  \: diameter \\  = d = 2r \\ =  d = 2 \times 21.01 \\  = d = 42.02

7 0
3 years ago
I need some help with this.
zepelin [54]

The domain is the left side of the table, which is (x)

Range is the right side which is (y)

Your answer is B

4 0
3 years ago
Mary is n years old. Write an expressions for her age 10 years ago.
prisoha [69]

Answer:

n-10=a

5 0
2 years ago
Read 2 more answers
Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 8% a
crimeas [40]

a  =  total amount invested at 5%

b = total amount invested at 8%

we know 5% was earned in interest from "a", so that'd be (5/100) * a or 0.05a.

we know 8% was earned in interest from "b", so that'd be (8/100) * a or 0.08b.

we also know that the total for both is 1000, a + b = 100.

\begin{cases} a + b = 1000\\ 0.05a+0.08b=65 \end{cases}\qquad \qquad \stackrel{\textit{since we know}}{a+b=1000}\implies b = 1000-a \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.05a+0.08(100-a)=65}\implies 0.05a+80-0.08a=65 \\\\\\ -0.03a+80=65\implies -0.03a=-15\implies a=\cfrac{-15}{-0.03}\implies \boxed{a = 500} \\\\\\ \stackrel{\textit{we know that}}{b = 1000-a}\implies b=1000-500\implies \boxed{b = 500}

7 0
2 years ago
Read 2 more answers
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