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diamong [38]
3 years ago
7

Find a, (x-3) + (x-a) = 15

Mathematics
1 answer:
slega [8]3 years ago
8 0

a = 2x - 18

remove the parenthesis and simplify

x - 3 + x - a = 15

2x - 3 - a = 18 ( add 3 to both sides

2x - a = 18 ( subtract 2x from both sides )

- a = 18 - 2x ( multiply through by - 1 )

a = - 18 + 2x

a = 2x - 18


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Graph each absolute value function. State the domain, range, and y-intercept.
grandymaker [24]

Answer:

i) D: All real numbers

ii) R: y\le5

iii) Y-int: b=2

Step-by-step explanation:

i) The given absolute value function is

y=-|x+3|+5

The domain is all values of x that makes the function defined.

The absolute value function is defined for all values of x.

The domain is all real numbers.

ii) The given function is y=-|x+3|+5

The function has vertex (-3,5).

The function is reflected in the x-axis.

This means the vertex is the maximum point on the graph of the function.

The maximum y-value is 5.

The range is therefore y\le 5 or (-\infty,5]

iii) To find the y-intercept, put x=0 into the function.

y=-|0+3|+5

y=-|3|+5

y=-3+5

y=2

The y-intercept is (0,2) or b=2

See attachment for graph.

6 0
3 years ago
Find the original price if the sale price of the cell phone is $205.50
Arlecino [84]

Answer:

$293.6

Step-by-step explanation:

Here is the complete question: A cell phone is on sale for 30% off. Find the original price if the sale price of the cell phone is $205.50.

Given: Sale price of cell phone is $205.50

           Discount= 30%

As 30% discount is given on original price or we can say 70% of original price is $205.50.

∴ Let the original price be x.

⇒ \frac{70}{100} \times x= 205.50

Now, cross multiplying both side.

⇒ x= \frac{100}{70} \times 205.5

∴ x= $293.6

The original price of cell phone is $293.6.

7 0
3 years ago
Una botella pesa 1090kg cuando esta llena y 250g cuando esta vacía. ¿Cuanta masa de aceite contiene la botella?
Hitman42 [59]

Respuesta:

1089,75 kg

Explicación paso a paso:

Dado que :

Masa de embotellado lleno = 1090 kg

Masa de la botella vacía = 250 g

Masa de aceite que contiene la botella:

Expresando la masa de la botella cuando se llena en gramos:

1000 g = 1 kg

1090 kg = (1090 * 1000) = 1090000 g

La masa de aceite que contiene la botella es así:

Masa de la botella cuando está llena - masa de la botella cuando está vacía

1090000 g - 250 g = 1089750 g

Por tanto, la masa de aceite es 1089750 g

O 1089750/1000 = 1089,75 kg

7 0
3 years ago
You and your family go on a vacation to a spot in Maine that is 300 miles away. Your average driving 60 miles per hour, How long
Lisa [10]

Answer:

it will take 5 hours

Step-by-step explanation:

It will take five hours because first you take 300 and 60 and divide them to get 5.

4 0
2 years ago
Read 2 more answers
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 7 hours? Explain your reasoning
harina [27]

Answer:

55.75

Step by step explain:

33.00 divided by 4 equals 8.25

then multiply 8.25 by 7 which equals 55.75

4 0
2 years ago
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