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Tanya [424]
2 years ago
15

Help me and show work plz <3

Mathematics
2 answers:
belka [17]2 years ago
4 0

Answer:

0.8^4

Step-by-step explanation:

hichkok12 [17]2 years ago
3 0
<h2><u>Question :-</u></h2>

Write the expression using exponents.

0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8  \:  =  \boxed { ? }

<h3>___________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Expression ➢</u> 0.8 · 0.8 · 0.8 · 0.8

<h3><u>To Find :-</u></h3>

  • The value of the expression using exponents.

<h3><u>Calculation :-</u></h3>

<em><u>Since, the expression is actually the repetition of 0.8, so we can write this as,</u></em>

⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴

<em><u>Calculating further, We get, </u></em>

⇒ ( 0.8 )⁴ = \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴}

⇒ ( 0.8 )⁴ = \frac{4096}{10000}

<em><u>Calculating further, We get, </u></em>

⇒ ( 0.8 )⁴ = 0.4096

∴ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

<h3>____________________</h3>

<h2><u>Final Answer :-</u></h2>

  • 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

<h3>____________________</h3>
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At a restaurant, bill and his four friends decided to divide the bill evenly. If each person paid $12, what was the total bill?
Darya [45]

Answer:

total=$60

Step-by-step explanation:

Including bill there's a total of 5 people

take what each person paid, $12, and multiply by the number of people

$12(5)=$60

7 0
2 years ago
Write the equations of each line in slope-intercept form.
Pachacha [2.7K]

Answer:

1) y = 3x + 2

2) y = -x + 2

7 0
2 years ago
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The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?
nignag [31]

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7.  However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K".  In this case it is translated down so its -3.  

If it was translated up or right then its positive.  If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in.  h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

5 0
2 years ago
List the domain and range if the relation {(0,2),(4,3),(5,5),(4,7)}
lyudmila [28]
(x,y)

domain is inputs (normally x or first number)
range is outputs from the given domain (normally y or second number)

domain is just all the first numbers
range is all the second numbers
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domain: {0,4,5}
range: {2,3,5,7}
5 0
3 years ago
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solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
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