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Bumek [7]
3 years ago
13

Check all of the following that are solutions to the system shown below.

Mathematics
1 answer:
loris [4]3 years ago
5 0
From second equation y = -2-x

Plug this into the first equation:-

- 2 - x = -x^2 - x + 2

x^2 + x - 2 - 2 - x = 0

x^2 - 4 = 0

x^2 = 4

x + +/- 2

Plug these values into x + y = -2 :-
x = 2:- 
2 + y = -2   

so y = -4 

so one solution is (2,-4)

Now try x = -2

- 2 + y = -2

y = 0 

so the second solution is ( -2 , 0)

So A and C  are correct
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How do I simplify 9v+9(1+7v) and can you show me the work
KonstantinChe [14]

Answer:72v+9

Step-by-step explanation:

Apply the distributive property.

9 v + 9 ⋅ 1 + 9 ( 7 v )

Multiply  

9  by  1 . 9 v + 9 + 9 ( 7 v )

Multiply  

7  by  9 . 9 v + 9 + 63 v

Add  

9 v  and  63 v . 72 v + 9

I hope this helps you.

7 0
3 years ago
Solve x2 + 2x + 9 = 0
Keith_Richards [23]
x^2+2x+9=0 \\ \\
a=1 \\ b=2 \\ c=9 \\ b^2-4ac=2^2-4 \times 1 \times 9=4-36=-32 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-2 \pm \sqrt{-32}}{2 \times 1}=\frac{-2 \pm \sqrt{-16 \times 2}}{2}=\frac{-2 \pm 4i\sqrt{2}}{2}=-1 \pm 2i\sqrt{2}

The answer is D.
8 0
3 years ago
Read 2 more answers
Please help...its for Delta math. will mark brainliest and I will be ur friend♥<br>​
REY [17]

The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

Step 1:

To determine if the function represents growth or decay, we substitute values to x.

If the values increase with an increase of x, it represents growth.

If the values decrease with an increase of x, it represents decay.

Step 2:

If x= 10, y = 1,300 (\frac{1}{2})^{\frac{10}{69} }  =  1,300 (0.9044) = 1,175.72.

If x=11,y = 1,300 (\frac{1}{2})^{\frac{11}{69} }  =  1,300 (0.8953) = 1,163.89.

So as x increases the value of y decreases, so it represents decay.

Step 3:

The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.

The percentage rate of change = \frac{y(x=11) - y(x=10)}{y(x=10)}.

Substituting the values, we get

The percentage rate of change =\frac{1,175.72-1,163.89}{1,175.72}(100) = 1.00619\%.

As the values of y decrease with an increase in x, it is the percent decrease per unit.

5 0
3 years ago
Read 2 more answers
Which of the scenarios below would a t-test of the difference between means for dependent samples be appropriate?
GalinKa [24]

Answer:

4g

Step-by-step explanation:

scatter

4 0
3 years ago
A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t seconds after launch is given by
german

Step-by-step explanation:

A ball is launched straight up in the air from a height of 6 feet. The velocity as a function of time t is given by :

f(t) = -32 t+285

Height of the ball is :

h(t)=\int\limits{f(t){\cdot} dt}\\\\h(t)=\int\limits{(-32t+285){\cdot} dt}\\\\h(t)=-16t^2+285t+C

C is constant. Here the ball is launched from a height of 6 feet. So,

h(t)=-16t^2+285t+6

At t = 2 s, h(t)=-16(2)^2+285(2)+6=512\ m

At t = 9 s, h(t)=-16(9)^2+285(9)+6=1275\ m

Between 2 s and 9 s, the ball's height changed is : 1275 - 512 = 763 m.

6 0
3 years ago
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