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3 years ago

Simplify. –6+ {14+2 (60 – 9(1+3)]}. AVY V4+ UJUNDUV VA -43

Mathematics

1 answer:

Alecsey [184]3 years ago

3 0

Answer:56

Step-by-step explanation:

The answer is 56.

I know this because...

-6 + {14 + 2 [60 − 9(1 + 3)]}

-6 + {14 + 2[60 − 9(4)]}

-6 + {14 + 2[60 − 36]}

-6 + {14 + 2[24]}

-6 + {14 + 48}

-6 + {62}

-6 + 62 = 56

i think.

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Find the solution to the system of equations!

Crazy boy [7]

The answer to the system of equations is x = 3, y = -2 and z = 5.

In order to find this you can use elimination to create two equations with only x and y. First we will add equation one with equation 2 multiplied by 2.

-x + 2y + 2z = 3
6x + 2y - 2z = 4
---------------------
5x + 4y = 7

Then we can add equation 2 with equation 3.

3x + y - z = 2
2x + y + z = 9
------------------
5x + 2y = 11

Now we can use these two equations together to solve for y. It will be easiest if we multiply the second one by -1.

5x + 4y = 7
-5x - 2y = -11
------------------
2y = -4

And then we can solve for y.

2y = -4
y = -2

With that answer we can go back to any equation with just y and x and solve for x.

5x + 4y = 7
5x + 4(-2) = 7
5x - 8 = 7
5x = 15
x = 3

Now we can use x and y in any equation to find z.

2x + y + z = 9
2(3) + (-2) + z = 9
6 - 2 + z = 9
4 + z = 9
z = 5

5 0

3 years ago

I need help ASEP please help me

Arisa [49]

Answer:

Step-by-step explanation:

it is 5 because you do 1+4=5

6 0

3 years ago

F(n)=64+6n what is the recursive formula of f(n)?

Ghella [55]

Answer:

Step-by-step explanation:

f(n)=64+6n

f(n-1)=64+6(n-1)=64+6n-6=f(n)-6

f(n-1)+6=f(n)

or f(n)-f(n-1)=6

5 0

4 years ago

h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b

Nesterboy [21]

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

Given the function $h(x)=\dfrac{1}{8}x^3-x^2$

The average rate of change of the function h(x) over the interval $a\le x\le b$ can be calculated using formula

$\dfrac{h(b)-h(a)}{b-a}$

In your case,

$a=-2,\\ \\b=2,$

so the average rate of change is

$\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}$

6 0

3 years ago

A cone has a height of 19 yards and a radius of 7 yards. What is its volume

Tanya [424]

Answer:

Step-by-step explanation:

h= 19 yards, r=7yards, v=?,Π= 3.14

Vol. Of a cone = 1/3×h×Π×r²

V= 1/3×19×3.14×7²

V= 2923.34/3

V=974.45

To the nearest hundredth

V=974cm³

5 0

3 years ago