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Dmitry_Shevchenko [17]

3 years ago

6

Arie has $46 in his account and is saving $8.50 each week. Olga has $14 in her savings account and is saving $12.50 each week. A

fter how many weeks will Arie and Olga have the same in their accounts?

1 answer:

erik [133]3 years ago

5 0

Answer:

5 weeks until they have the same

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12.5% of $100 is<br> what number?

Westkost [7]

Answer:100$-100% 100*12.5=1250

1250/100=12.5

?-12.5%

Step-by-step explanation:

7 0

3 years ago

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What are the solutions of the quadratic equation 4x^2-8x-12=0

Wewaii [24]

Answer:

<h3> x₁ = -1, x₂ = 3</h3>

Step-by-step explanation:

$4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3$

6 0

3 years ago

HELP PLEASE LOTS OF POINTS!!

Paladinen [302]

Answer:

<em>Thus, f and g are inverse functions</em>

Step-by-step explanation:

<u>Inverse Functions</u>

If two functions f(x) and g(x) are inverses, then it follows that:

$f\circ g(x)=x$

Or:

$g\circ f(x)=x$

We are given

$\displaystyle f(x)=\frac{1}{4}x-6$

$g(x)=4x+24$

Let's test if they are inverse functions:

$f\circ g(x)=\frac{1}{4}(4x+24)-6$

Simplifying:

$f\circ g(x)=x+6-6=x$

Now find:

$\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24$

Operating:

$\displaystyle g\circ f(x)=x-24+24=x$

Thus, f and g are inverse functions

6 0

3 years ago

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Find the arc length of the semicircle. 7the grade

charle [14.2K]

so, is a semi-circle, half a circle, recall a circle has a total of 360°, so half of that will be 180°.

the diameter of that circle is 10, so its radius is half that, or 5.

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ \theta =180\\ r=5 \end{cases}\implies s=\cfrac{(180)(\pi )(5)}{180}\implies s=5\pi \stackrel{\pi =3.14}{\implies s=15.7}$

3 0

3 years ago

Allyson and Adrian have decided to connect their ankles with a bungie cord; one end is tied to each person's ankle. The cord is

BARSIC [14]

Answer: 5.5 seconds

Step-by-step explanation:

30=5/4 ×(-20) + 10t

30 =-25 +10t

10t=55

t=5.5seconds

The cord will first touch the corner of the building after 5.5secs

3 0

3 years ago