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2 years ago

Using the graph, what is one solution to the equation f(x) = g(x)?

Mathematics

1 answer:

ki77a [65]2 years ago

8 0

Answer: 0.5

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

)(x)=

4−5x

3x+2 f (2) = 2(2) = 4

g(2) = (2) + 4 = 6

h(2) = 5 – (2)3 = 5 – 8 = –3

Now I can evaluate the listed expressions:

(f + g)(2) = f (2) + g(2)

= 4 + 6 = 10

(h – g)(2) = h(2) – g(2)

= –3 – 6 = –9

(f × h)(2) = f (2) × h(2)

= (4)(–3)= –12

(h / g)(2) = h(2) ÷ g(2)

= –3 ÷ 6 = –0.5

Step-by-step explanation:

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pychu [463]

Answer:

3 cases

Step-by-step explanation:

45 - 27 = 18

18 ÷ 5 = 3

Tax is probably like $1 so It would add up to 18.

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2 years ago

Q. A customer wants to re-carpet a living room andhallway. You charge $5.99 per square yard toremove old carpet and $4.50 per sq

Tanzania [10]

Living Room Area = 17.5 x 20 = 350 sq ft

Hall Area = 4 x 12 = 48 sq. ft.

Total area of carpeting: 340 + 48 = 398 sq. ft.

We need to convert total area in sq ft to sq yd. The conversion ratio is

1 sq ft = 0.11 sq yd

So, 398 sq ft would be:

398 * 0.11 = 44.22 sq yd.

Carpet removing rate is 5.99 per sq yd.

Removing rate would be:

44.22 * 5.99 = $264.88

Assuming you gotta install both carpet and pad,

Carpet + pad = 16.99 + 3 = 19.99 per sq yd.

You gotta buy for 44.22 sq yd.

So, it will cost (carpet):

44.22 * 19.99 = $883.96

Installing rate 4.50 per sq yrd, so to carpet 44.22 sq yd, would need:

4.50*44.22 = $198.99

Assuming carpet is provided by installation guys, total charge:

4 0

1 year ago

Marissa purchased a couch from The Furniture Find for $700 and agreed to purchase it on credit through the store. She was charge

Bad White [126]

Answer:

The interest is $35 so it ends up costing her $70

Step-by-step explanation:

7 0

3 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

5 0

1 year ago

If the measure of base angle ABC is 75°, what is m∠BAC?

Rudik [331]

B
isos triangle means 2 sides are =
Ignore the image most images are not to scale
one angle is 75 so another is 75. 75*2 =150
180-150 =30

3 0

3 years ago

Read 2 more answers