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3 years ago

What is the principle for f)? The math is Simple Interest

Mathematics

1 answer:

Tamiku [17]3 years ago

8 0

See the attachment °_° I hope it helps :-)

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the <u>zero-product property</u> and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the <u>second equation</u> and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

Read 2 more answers

HELP WILL GIVE 50+ POINTS TO THE FIRST PERSON TO ANSWER PLZ HELP EXPLAIN IT ALL!!!!!!!!

Bogdan [553]

No picture of the question

3 0

2 years ago

Dianna made several cakes yesterday. Each cake required 2 2/3 cups of flour. All together, she used 13 1/3 cups of flour. How ma

riadik2000 [5.3K]

Answer:

5 cakes

Step-by-step explanation:

13 1/3 ÷ 2 2/3

40/3 x 3/8

= 5 cakes

3 0

3 years ago

Factor each completely

avanturin [10]

K^2-5k-50
(k-10)(k+5)

This is because k*k=k^2 (your first term), 5k-10k=-5k (your second term) and -10*5=-50 (your last term).

Distribute to check.

3 0

3 years ago

Multiply two and five-eighths negative two and three-fifths .

Yuki888 [10]

The answer is -6.825 in fraction form, it would be -6 33/40

4 0

3 years ago