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2 years ago

Rewrite using a negative exponent. 1/a ^4

Mathematics

1 answer:

vesna_86 [32]2 years ago

8 0

Answer: a^-4

Step-by-step explanation:

$\frac{1-4}{a^4-4}$ = a^-4

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The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +

lianna [129]

You have a system of equations $\left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right.$ .

1. Substitude right side of second equation into the left side of the first equation: $-6x+6=-x^2+2x-9$ .

2. Solve this equation:
$x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4, \\ \sqrt{D}=2, \\ x_{1,2}=\dfrac{8\pm 2}{2 } =3,5$ .

3. Find y:
for $x_1=3, y_1=-6\cdot 3+6=-18+6=-12$ ,
for $x_2=5, y_2=-6\cdot 5+6=-30+6=-24$ .

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.

7 0

2 years ago

Read 2 more answers

I will literally give you my life if you. help me with these integer questions-

Sphinxa [80]

Answer:

10. 23

11. -17

12. 0

13. -4

14. -6

15. 4

Explanation:

10. 8+15= 23

11. -8-9= -17

12. 8-8= 0

13. -8+4= -4 (same as 4-8)

14. -10+4= -6 (same as 4-10)

15. 12-8= 4

8 0

2 years ago

Read 2 more answers

In the data set below, what is the mean absolute deviation? 1, 4, 2, 8, 4, 8

Olin [163]

Answer:

4.5

Step-by-step explanation:

1±4±2±8±4±8=27

27÷6=4.5

3 0

2 years ago

Find the equation of the exponential function that passes through the points (- 1, 1/6) and (1, 2/3) and Use the form y = c * a

icang [17]

Answer:

y = 1/3*2^x

Step-by-step explanation:

Given function

y = c*a^x

The points (-1, 1/6) and (1, 2/3) lie on the graph

Substitute the values of x and y to get the system of equations:

1/6 = c*a^(-1) ⇒ 1/6 = c/a ⇒ a = 6c
2/3 = c*a^1 ⇒ 2/3 = ac

Substitute a and solve for c:

2/3 = 6c*c
1/9 = c²
c = √1/9
c = 1/3

Find a:

a = 6c = 6*1/3 = 2

The equation of the function:

y = 1/3*2^x

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2 years ago

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Nastasia [14]

There is not question?

7 0

2 years ago