Which expression would be easier to simplify if you used the associative

Which of the following is a solution to the following system of inequalities?

iren2701 [21]

Option D: $(0,3)$ is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $$y$

Thus, we have,

Option A: $(1,-1)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-1>0$ is not true.

$$y\leq 2 x+3 \implies -1\leq 5$ is true.

Since, only one equation satisfies the condition, the coordinate $(1,-1)$ is not a solution.

Hence, Option A is not the correct answer.

Option B: $(-4,0)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies0>5$ is not true.

$$y\leq 2 x+3 \implies 0\leq -5$ is not true.

Since, both the equations does not satisfy the condition, the coordinate $(-4,0)$ is not a solution.

Hence, Option B is not the correct answer.

Option C: $(3,-2)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-2>-2$ is not true.

$$y\leq 2 x+3 \implies -2\leq 9$ is true.

Since, only one equation satisfies the condition, the coordinate $(3,-2)$ is not a solution.

Hence, Option C is not the correct answer.

Option D: $(0,3)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies3>1$ is true.

$$y\leq 2 x+3 \implies 3\leq 3$ is true.

Since, both equation satisfies the condition, the coordinate $(0,3)$ is a solution.

Hence, Option D is the correct answer.

4 0

3 years ago

Can someone help me answer this

Firlakuza [10]

Answer:

maby c

Step-by-step explanation:

tell me if this helps

5 0

3 years ago

Read 2 more answers

After batman brought the joker to justice , the crime rate in arkham city decreased by 12%. Previously the crime rate was c inci

alexandr402 [8]

Previous crime rate = c incidents per 1,000 people

Reduction in crime rate after batman brought the joker to justice = 12%

Hence, new crime rate (per 1,000 people) would be = c - 12%×c

⇒ New crime rate (per 1,000 people) would be = c - 0.12×c

⇒ New crime rate (per 1,000 people) would be = 0.88×c

Hence, now the crime rate is 0.88×c per 1,000 people.

3 0

3 years ago

Read 2 more answers

Whats -33 + -20 , show how you can describe it.”

Advocard [28]

Step-by-step explanation:

-33 + -20 is -53. and I don't how

8 0

3 years ago

All exponential functions can be written in many forms. Write the function f(t)=110(1.35)^{\frac{t}{40}}f(t)=110(1.35) 40 t in

Mkey [24]

Step-by-step explanation:

Given - f(t)=110(1.35)^{\frac{t}{40}}

To find - Write the function in the form f(t)=ae^{kt}. Round all coefficients

to four decimal places.

Proof -

Given that , the function is f(t)=110(1.35)^{\frac{t}{40}}

Now,

We can write it in the form of $f(t) = 110(1.35)^{\frac{t}{40} }$

By comparing with the form $f(t) = ae^{kt}$ , we get

a = 110.0000

k = $\frac{1}{40}$ = 0.0250

7 0

3 years ago