Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x

Please help!! I don’t get it

Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting $x$ represent the number of hot dogs and $y$ the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

$6x + 4y = 14.10$

The Farley family bought 3 hot dogs and 4 juices for $9.15.

$3x + 4y = 9.15$

Now, we subtract these equations.

$6x + 4y = 14.10\\- (3x + 4y = 9.15)$

Since $y$ has reversed coefficients, it gets eliminated. Now solve for x.

$6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}$

$\frac{4.95}{3} = 1.65$

$x = 1.65$

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

$6x + 4y = 14.10$

$6(1.65) + 4y = 14.10$

$9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2$

$\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05$

$x$ = 1.65

$y$ = 1.05

$x$ represents hotdogs and $y$ represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

6 0

3 years ago

A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 min

Leya [2.2K]

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

$A \to Amount$

$t \to time$

Given

$A(0) = 200$ --- initial

$A(5) = 200 * (1 - 20\%) = 160$ --- the amount left, after 5 minutes

Required

$A(10)$ --- amount left after 5 minutes

To do this, we make use of:

$A(t) = A(0) * e^{kt}$

$A(5) = 160$ implies that:

$160 = 200 * e^{k*5}$

Divide both sides by 200

$0.80 = e^{k*5}$

Take natural logarithm of both sides

$\ln(0.80) = \ln(e^{k*5})$

$\ln(0.80) = \ln(e^{5k})$

$\ln(0.80) = 5k\ln(e)$

So, we have:

$-0.223 = 5k$

Divide by 5

$k = -0.045$

So, the function is:

$A(t) = A(0) * e^{kt}$

$A(t) = 200 * e^{-0.045t}$

The amount after 10 minutes is:

$A(10) = 200 * e^{-0.045*10}$

$A(10) = 200 * e^{-0.45}$

$A(10) = 127.53$

3 0

3 years ago

.Please Help.

Ber [7]

Answer: width = 72.50 m

Step-by-step explanation:

P = 2l + 2w

425 = 2( 140 ) + 2w

425 - 280 = 2w

145 = 2w

w = 72.50

5 0

3 years ago

Read 2 more answers

Christy spent half of her weekly allowance at the movies. To earn more money her

Mekhanik [1.2K]

Answer:

$6

Step-by-step explanation:

she has $8 now

her parents let her earn $5

so you have to take the $5 from the $8

so $8 - $5 = 3

and she had spent half her allowance so you have to double the $3

$3 * 2 = $6

she has a weekly allowance of $6

3 0

3 years ago

Help!!!!!!?!!!!!!!!!!??????????

bulgar [2K]

Step-by-step explanation:

A value is excluded when it makes the rational expression undefined. (such as making the denominator 0, etc.)

For example when x = 8, (x - 8) at the denominator will become 0 and make it undefined.

The correct options are the 3rd and 4th ones.

6 0

3 years ago

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x - 6|?