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1 year ago

Can someone please help me with number 6?

Mathematics

2 answers:

Vlad1618 [11]1 year ago

8 0

Step-by-step explanation:

substitute a with 2 and b with 3

2x+3

because it's the same equation it should just be an equal sign.

omeli [17]1 year ago

7 0

Answer:

Simplifying

ax + b = 2x + 3

Reorder the terms:

ax + b = 3 + 2x

Solving

ax + b = 3 + 2x

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1b' to each side of the equation.

ax + b + -1b = 3 + -1b + 2x

Combine like terms: b + -1b = 0

ax + 0 = 3 + -1b + 2x

ax = 3 + -1b + 2x

Divide each side by 'x'.

a = 3x-1 + -1bx-1 + 2

Simplifying

a = 3x-1 + -1bx-1 + 2

Reorder the terms:

a = 2 + -1bx-1 + 3x-1

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Identify the domain and range of the inverse of f(x) = 0.5^x.

LekaFEV [45]

Answer:

Domain (0, ∞) and Range (-∞, ∞).

Step-by-step explanation:

The domain of f(x) = 0.5^x is all values of x and the range is f(x)>0 as 0.5^x cannot be negative or zero.

In interval form this is Domain is (-∞, ∞) and Range is (0, ∞).

So its inverse has Domain (0, ∞) and Range (-∞, ∞).

4 0

2 years ago

Two cars leave town at the same time and travel in opposite directions. Speed of car A is 12 km/h more than car B. They are 312k

Zina [86]

Answer:

Speed of car B is 33 km/h and speed of car A is $45\,\,km/h$

Step-by-step explanation:

Let speed of car B be $x$ km/h

Speed of car A is 12 km/h more than car B.

Therefore,

Speed of car A = $(12+x)$ km/h

Distance = Speed × Time

Distance travelled by car A in 4 hours = $4(12+x)$ km = $(48+4x)$ km

Distance travelled by car B in 4 hours = $4x$ km

Also, cars A and B are 312km apart after 4 hours.

$48+4x+4x=312\\48+8x=312\\8x=264\\\\x=\frac{264}{8}\\\\x=33\,\,km/h$

Speed of car B is 33 km/h and speed of car A is $12+x=12+33=45\,\,km/h$

5 0

2 years ago

A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we

IRINA_888 [86]

Answer:

$52$ roses and $117$ sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is $4:9$ , we can represent how many there are of each as $4x$ and $9x$ , respectively. We know that there are $65$ more sunflowers than roses, so we can set up the following equation to solve for $x$ :

$4x+65=9x$

Solving for $x$ , we get:

$4x+65=9x$

$4x+65-4x=9x-4x$ (Subtract $4x$ from both sides of the equation to isolate $x$ )

$65=5x$ (Simplify)

$5x=65$ (Symmetric Property of Equality)

$\frac{5x}{5}=\frac{65}{5}$ (Divide both sides of the equation by $5$ to get rid of $x$ 's coefficient)

$x=13$ (Simplify)

Therefore, since $x=13$ , we know that there are $4x=4*13=52$ roses and $9x=9*13=117$ sunflowers. Hope this helps!

4 0

2 years ago

Jack is building a deck that is 8 ft by 27.63 ft. He has the base built; he just needs to cover the surface with wood. When he g

gulaghasi [49]

The area of the deck is :
A ( deck ) = 8 * 27.63 = 221.04 ft²
The area of the sheet of wood:
A ( sheet ) = 4 * 8 = 32 ft²
221.04 : 32 = 6.9 ≈ 7 ( we need a whole number )
Answer: He should buy 7 sheets of wood to cover the surface of the deck.

5 0

2 years ago

How do you write 37/4 as a mixed number

Nataly_w [17]

9/14 the anwser its really easy but i understand

5 0

2 years ago

Read 2 more answers