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Kay [80]
2 years ago
12

I Need Help!!!!

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
8 0

Answer:

6^27

Step-by-step explanation:

To answer this, we are going to use one of the laws of indices

We have this as;

(a^b)^c = a^(b * c) = a^bc

we are going to apply same here

(6^-3)^-9 = 6^(-3 * -9) = 6^27

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The Gates family has a home that they purchased for $160,000. If the value of their home increases at a rate of 3% per year, how
Westkost [7]
The answer will be the first one, $208,000

1) find the total percentage - 3x10=30%

30% of 160,000 = 48,000

160,000 + 48,000 = $208,000
8 0
2 years ago
Find the slope (m) and y-intercept (b) of each representation be
scoray [572]

Answer:

m= -2

b = 3

Step-by-step explanation:

Take two points from line.

(0,3) and (1,1)

now slope(m) = (1-3)/(1-0)

m = -2

now

y = mx+b

or, 3 = -2×0+b

or, 3 = 0+b

so, b = 3

5 0
2 years ago
Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (
Vladimir79 [104]

Answer:

Factors: (x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

Step-by-step explanation:

We are given a polynomial:

f(x)=x^4-x^3-2x-4

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

8 0
2 years ago
3 1/3 divided by 1 1/4 =
lora16 [44]

Answer:

3/8

Step-by-step explanation:

3 1/3 = 10/3

1 1/4 = 5/4

Remember when dividing by a fraction you can also multiply by its reciprocal meaning flip the numerator and denominator.

so

(3 1/3) / (1 1/4) = (10/3) / (5/4) = (10/3) x (4/5) which is the same as (3/10) x (5/4)

= (3 x 5) / (10 x 4) = 15 / 40

the numerator and denominator have a common factor of 5 so divide the  numerator and denominator by 5

15 / 40 = 3/8

3 0
3 years ago
5x-2y=11 and 3x+4y=4<br>Find the value of x and y in equation.​
nadya68 [22]
  • 5x-3y=11---(1)
  • 3x+4y=4---(2)

(1)×3 and (2)×5

  • 15x-9y=33-(3)
  • 15x+20y=20-(4)

Subtract both

\\ \sf\longmapsto -29y=13

\\ \sf\longmapsto y=\dfrac{-13}{29}

  • Put in eq(1)

\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11

\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}

\\ \sf\longmapsto x=\dfrac{278}{145}

7 0
2 years ago
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