All categories

3 years ago

Use the functions h(x) = 2x - 5 and t(x) = 6x + 4 to complete the function operations listed below.

Mathematics

1 answer:

Rom4ik [11]3 years ago

3 0

Answer:

See below for answers (in bold) and explanations

Step-by-step explanation:

Part A: (h+t)(x) = h(x) + t(x) = (2x-5) + (6x+4) = 2x - 5 + 6x + 4 = 8x - 1

Part B: (h*t)(x) = h(x) * t(x) = (2x-5) * (6x+4) = (2x)(6x) + (2x)(4) + (-5)(6x) + (-5)(4) = 12x² + 8x - 30x - 20 = 12x² - 22x - 20

Part C: h(t(x)) = h(6x + 4) = 2(6x + 4) - 5 = 12x + 8 - 5 = 12x + 3

You might be interested in

What is the slope of the line that has an equation of Y equals X -3

Mariana [72]

Answer:

m = 1

Step-by-step explanation:

y = x -3 and y = mx + b are the same thing

Since you have mx and x as the same thing, then m = 1 (for which slope is m)

Please mark for brainliest!! :D Thanks!!

If you have any questions or need more information, please comment below and I'll respond asap!!

3 0

4 years ago

Read 2 more answers

What is 10% as a decimal?

DiKsa [7]

Hi there!

10% as a decimal is 0.1

To find the decimal of a percentage, just divide the percentage by 100.

10/100 = 1/10 = 0.1

I hope this helps!

6 0

3 years ago

Help me thank you <br> .......

katrin2010 [14]

Answer:

$2.71

Step-by-step explanation:

$2 dollars in ones + $0.50 in quarters + $0.20 in dimes + $0.01 in pennies equals out to $2.71

8 0

3 years ago

Can someone please help me out Its really Important please marking brainliest

MakcuM [25]

The cylinder bale has greater volume and volume of pyramid is 54613m^2, air for each person is 10.92 m^2

6 0

3 years ago

Read 2 more answers

Determine if the sequence is arithmetic. If it is, find the common difference. Is the sequence a function ?

BaLLatris [955]

$6)\\r=a_{n+1}-a_n\to r=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\a_1=-7;\ a_2=-10;\ a_3=-11;\ a_4=-13\\\\a_2-a_1=-10-(-7)=-10+7=-3\\a_3-a_2=-11-(-10)=-11+10=-1\\\\a_3-a_2\neq a_2-a_1\\\\\text{It's not an arithmetic sequence}$

$\r=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...\\\\8.)\\a_1=4;\ a_2=20;\ a_3=100;\ a_4=500\\\\r=\dfrac{20}{4}=\dfrac{100}{20}=\dfrac{500}{100}=5\\\\10.)\\a_1-30;\ a_2=-45;\ a_3=-50;\ a_4=-65\\\\\dfrac{a_2}{a_1}=\dfrac{-45}{-30}=\dfrac{3}{2}\\\\\dfrac{a_3}{a_2}=\dfrac{-50}{-45}=\dfrac{10}{9}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}$
$12.)\\a_1=-7;\ a_2=-14;\ a_3=-21;\ a_4=-28\\\\\dfrac{a_2}{a_1}=\dfrac{-14}{-7}=2\\\\\dfrac{a_3}{a_2}=\dfrac{-21}{-14}=\dfrac{3}{2}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}\\\\\text{It's a function}$

8 0

3 years ago