1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergeeva-Olga [200]
2 years ago
13

Suppose that the functions s and t are defined for all real numbers x as follows.

Mathematics
1 answer:
jeka942 years ago
8 0

Answer:

(s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39

Step-by-step explanation:

Given functions are:

s(x)= x+6\\t(x)= 4x^2

We have to find:

(s.t)(x) => this means we have to multiply the two functions to get the result.

So,

(s.t)(x) = s(x)*t(x)\\= (x+6)(4x^2)\\=4x^2.x+4x^2.6\\=4x^3+24x^2

Also we have to find

(s-t)(x) => we have to subtract function t from function s

(s-t)(x) = s(x) - t(x)\\= (x+6) - (4x^2)\\=x+6-4x^2

Also we have to find,

(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x

(s+t)(x) = s(x)+t(x)\\= x+6+4x^2

Putting x = -3

= -3+6+4(-3)^2\\=-3+6+4(9)\\=3+36\\=39

Hence,

(s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39

You might be interested in
Arrange the quantities in order from smallest to largest.<br> 2.6 km​, 109,000 mm​, 41.7 hm
Aleksandr-060686 [28]

The order of the values using the basic unit of meters from smallest to largest. is: 109000 mm < 2.6 km < 41.7 hm

What are the units of measurement of distance or length?

Distance is the gap between any two points under consideration.

The basic unit for measuring distance is the meter.

There are larger as well as smaller units for measuring length or distance which are based on the unit of meter.

The units are as follows:

millimeter, mm = 0.001 m

centimeter, cm = 0.01 m

decimeters, dm = 0.1 m

meter, m = 1 m

kilometer, km = 1000 m

hectometer, hm = 100 m

Now to compare the given quantities making the units same as two quantities can only be compared only when there units are same :

Considering the given values;

2.6 km = 2600 m

109,000 mm = 109 m

41.7 hm = 4170 m

Therefore, after comparison arranging the quantities in order from smallest to largest is 109000 mm < 2.6 km < 41.7 hm

Learn more about quantities at:

brainly.com/question/13421174

#SPJ1

4 0
1 year ago
What fraction is closest to 3/4?
kykrilka [37]

Let's start by finding a common denominator for all of these fractions. In this case, we will use 60.
3/4 = 45/60
2/3 = 40/60
3/5 = 36/60
7/10 = 42/60
13/20 = 39/60

The closest to 45/60 is 42/60/ Therefore, 7/10 is the closest to 3/4

4 0
3 years ago
Read 2 more answers
Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
Read 2 more answers
Factor the expression -24x+32
rewona [7]
The answer to the question is
-8 (3x-4)
6 0
3 years ago
How do you solve 25x = (1/125)^(4x-5)
amm1812

Step-by-step explanation:

Step 1: 25*x-((1/125)^(4*x-5))=0

step 2: simplify 1/125

step 3: 25x-(1/125)(4x-5)=0

pls i need one more brainly

6 0
3 years ago
Read 2 more answers
Other questions:
  • 45 points + brainliest for correct &amp; explained answer :)
    13·1 answer
  • The answers sis i need help
    5·1 answer
  • Muhammad ate an average of 2.5% cookies per day
    13·1 answer
  • (a-12)x = a+8 in the equation to the left, a is a constant. if the equation has no solutions, what is the value of a?
    11·1 answer
  • Help would be very appreciated :)<br><br> Picture is attached
    15·2 answers
  • Please, someone, help me
    6·1 answer
  • A lacrosse league has 20 teams in it's first year. The number of teams in the league increases by 20.% in it's 2nd year. In the
    8·1 answer
  • WILL GIVE BRAINLIEST
    13·1 answer
  • What is the slope of the line in the graph?
    7·1 answer
  • Solve system of equations can someone show step by step please <br> 2x-6y=-12<br> x+2y=14
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!