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shtirl [24]
3 years ago
14

Which ordered pairs are solutions to the inequality 4x + y>-6

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0

Answer:

(-1,-1)(2,0)(4,-20)

Step-by-step explanation:

(-1,-1) = -5 › -6 √

(0,-9) = -9 › -6 ×

(2,0) = 8 › -6 √

(-3,6) = -6 › -6 ×

(4,20) = -4 › -6 √

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On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches
Gala2k [10]

Answer:

g(x)=6(3)^x

Step-by-step explanation:

We are given  that

f(x)=6(\frac{1}{3})^x

Function f decreases from quadrant  2 to quadrant 1 and approaches  y=0

It cut the y- axis at (0,6) and passing through the point (1,2).

Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.

It passing through the point (-1,2) and cut the y-axis at point (0,6).

Reflection across y- axis:

Rule of transformation is given by

(x,y)\rightarrow (-x,y)

Using the rule then we get

g(x)=6(\frac{1}{3})^{-x}=6(3)^x

By using

x^{-a}=\frac{1}{x^a}

Substitute x=-1

g(-1)=6\times (\frac{1}{3})=2

Substitute x=0

g(0)=6

Therefore,g(x)=6(3)^x is true.

8 0
3 years ago
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Find an equation for the nth term of a geometric sequence where the second and fifth terms are -2 and 16, respectively.
Tju [1.3M]
Hello : 
<span>the nth term of a geometric sequence is : 
Un = Up ×r^(n-p)    .   r is the common ratio 
for : p=5 and n= 2
U5 = U2 ×r^3
16 = -2 r^3
r^3 = -8
but : -8 = (-2)^3
so :  r = -2
Un = U2 × r^(n-2)
Un = -2 ×(-2)^(n-2)= (-2)^(n-2+1)

</span><span>the nth term of a geometric sequenceis : Un = (-2)^(n-1)</span>
4 0
3 years ago
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bixtya [17]

Answer:

x=16

Step-by-step explanation:

2(x/8)=2

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   x 16 x 16

2x=32

2x/2= 32/2

x= 16    

6 0
3 years ago
Work out: 496 g + 6 kg 76 g – 2 kg 846 g​
aliina [53]

Answer:

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Step-by-step explanation:

  Kg     g

   0       496

<u>    6       076</u> +

   6       572  -

   <u>2       846</u>

   3       726

5 0
3 years ago
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Here is a uniform probability distribution.
Darya [45]

a) P(4\le X\le6)=\dfrac25 because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.

b) a=3 because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).

4 0
3 years ago
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