All categories

3 years ago

Let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)

Mathematics

1 answer:

dlinn [17]3 years ago

7 0

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

<u>Algebra I</u>

Function Notation
Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

Substitute: (f - g)(x) = 3x + 5 - x²
Rewrite: (f - g)(x) = -x² + 3x + 5

You might be interested in

What is <br> g(x)= 7/8(7) - 1/2

laila [671]

Answer: g=3/56

Hope this helps you

7 0

3 years ago

123456789101112131415161718

lesya692 [45]

Answer:

the third one is the correct answer

Step-by-step explanation:

hope that helps

7 0

3 years ago

Taylor has 16 tacks. she buys 2 packages of 36 tacks. how many gate sale posters can she put up if she uses 4 tacks for each pos

Gemiola [76]

She can Hang up 4 posters. Because Taylor only has 16 tacks.

16/4=4

4 0

3 years ago

30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade

mars1129 [50]

Answer:

$1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},$

Step-by-step explanation:

$1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}$

$2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}$

3. This problem incorporates an exponent property.

Exponent property used: $a^b\cdot a^c=a^{(b+c)}$ , yielding an answer of $\boxed{5}$

$4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}$

3 0

3 years ago

Read 2 more answers

Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per

zalisa [80]

Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:

C(g) = 4g + 69.

She wants to keep her bill at $83.80 per month, hence:

C(g) = 83.80

4g + 69 = 83.80

4g = 14.80

g = 14.80/4

g = 3.7.

Sarah can use 3.7 gigabytes while staying within her budget.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0

2 years ago