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3 years ago

12

You recently received a gift card from Game Stop for $75. You want to rent only games. The cost for renting a game is

1 answer:

Kitty [74]3 years ago

3 0

Answer:

3.25×2= 6.50

3.25×3=9.75

3.25×15= 48.75

3.25×23= 74.75

he will run out of money after renting 74 games.

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Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)

Natasha_Volkova [10]

Answer:

$\sin(\frac{\pi}{7}+x)$

Step-by-step explanation:

We are going to use the identity

$\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)$

because this identities right hand side matches your expression where

$a=\frac{\pi}{7}$ and $b=x$ .

So we have that $\sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x)$ is equal to $\sin(\frac{\pi}{7}+x)$ .

5 0

3 years ago

In triangle $ABC,$ point $D$ is on $\overline{AC}$ such that $AD = 3CD = 12$. If $\angle ABC = \angle BDA = 90^\circ$, then what

Neporo4naja [7]

Answer:

$BD=4\sqrt{3}\ units$

Step-by-step explanation:

we know that

$AD=12\ units$

$3CD=12$ ----> $CD=4\ units$

see the attached figure to better understand the problem

Triangles ABD and BCD are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

$\frac{BD}{AD}=\frac{CD}{BD}$

substitute the given values

$\frac{BD}{12}=\frac{4}{BD}$

$BD^2=48$

$BD=\sqrt{48}\ units$

simplify

$BD=4\sqrt{3}\ units$

8 0

3 years ago

Which is the graph of g(x) = ⌈x + 3⌉?

77julia77 [94]

ANSWER

$\boxed {D}$

EXPLANATION

The given function is,

$g(x) = ⌈x + 3⌉$

The parent function of this ceiling function is

$g(x) = ⌈x ⌉$

When this function is shifted horizontally 3 units to the left, we obtain the transformed function,

$g(x) = ⌈x + 3⌉$

The correct answer is option D.

See attachment.

6 0

3 years ago

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the

Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

$f(x) = 490 * 0.88^x$

Leo

$x \to g(x)$

$0 \to 480$

$2 \to 360$

$4 \to 470$

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

$f(x) = 490 * 0.88^x$

$f(0) = 490 * 0.88^0$

$f(0) = 490 * 1$

$f(0) = 490$

From Leo's table

$g(0) = 480$

By comparison;

$f(0) > g(0)$

i.e.

$490 > 480$

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

$y = ab^x$

Where:

$b \to rate$

For Tonya

$b = 0.88$

For Leo, we have:

$(x_1,y_1) = (0,480)$

$(x_2,y_2) = (2,360)$

So, the equation becomes:

$y = ab^x$

$480 = ab^0$ and $360 = ab^2$

Solving $480 = ab^0$ , we have:

$480 = a * 1$

$480 = a$

$a= 480$

$360 = ab^2$ becomes

$360 = 480 * b^2$

Divide both sides by 480

$0.75 = b^2$

Take square roots

$0.87 = b$

$b=0.87$ -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0

2 years ago

Simplify (2x + 1) (3.1 – 6)using the Distributive Property or the Area Method.

Tju [1.3M]

Answer: -5.8x-2.9

Step-by-step explanation:

Hi, to answer this we will use the distributive property:

The distributive property allows to multiply a sum by multiplying each addend separately and then add the products.

(2x + 1) (3.1 – 6)

(2x [3.1]) +(2x[-6])+ (1 [3.1])+ (1 [-6])

6.2x-12x+3.1-6

-5.8x-2.9

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago