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vazorg [7]
3 years ago
15

Nancy has a bank account that has a balance of $320 and allows for a maximum of 6 deposits per month. She has decided that each

time she deposits money into her account, she will deposit $20. If Nancy makes x deposits into her bank account in a month, her account balance can be represented by the function . PLZ HELPP SO CONFUSED
Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0

Answer: 320,340,360,380,400,420,440

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N/5 + -6 = 9 <br> What is n ?
Tatiana [17]
Answer: 75

work: n/5 + -6 = 9
n/5 = 9+ 6
n/5 = 15
n = 15 x 5
n= 75
4 0
3 years ago
Given g(x)=|-3x+16|, if g(x)=18, find x.
LenaWriter [7]

Answer:

x = - \frac{2}{3} , x = \frac{34}{3}

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

- 3x + 16 = 18 or -(- 3x + 16) = 18

Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

- 3x = 2 ( divide both sides by - 3 )

x = - \frac{2}{3}

or

-(- 3x + 16) = 18

3x - 16 = 18 ( add 16 to both sides )

3x = 34 ( divide both sides by 3 )

x = \frac{34}{4}

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- \frac{2}{3} ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3(\frac{34}{3} ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - \frac{2}{3} and x = \frac{34}{3} are the solutions

8 0
3 years ago
Read 2 more answers
How would you do this question?
Katarina [22]

Answer:

plot the reflection by finding the corresponding points by pretending that y=x-6 is the x-axis, so like (4,-1), (0,-5), (0,-3)

Step-by-step explanation:

7 0
3 years ago
Verify that (cos²a) (2 + tan² a) = 2 - sin² a....<br>​
Sveta_85 [38]

Trigonometric Formula's:

\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}

\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }

Given to verify the following:

\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a

\texttt{\underline{rewrite the equation}:}

\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )

\texttt{\underline{apply distributive method}:}

\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)

\texttt{\underline{simplify the following}:}

\rightarrow \sf 2cos^2 a  + sin^2 a

\texttt{\underline{rewrite the equation}:}

\rightarrow \sf 2(1 - sin^2a )  + sin^2 a

\texttt{\underline{distribute inside the parenthesis}:}

\rightarrow \sf 2 - 2sin^2a   + sin^2 a

\texttt{\underline{simplify the following}} :

\rightarrow \sf 2 - sin^2a

Hence, verified the trigonometric identity.

7 0
2 years ago
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What is the equation of the line that passes through the points ( 5,-2) and (-5,0)
Novosadov [1.4K]

Answer:

y=-1/5x-1

Step-by-step explanation:

4 0
2 years ago
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