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
sergij07 [2.7K]
3 years ago
12

Let t(x) = 3x-8 and s(t(x)) = x^2 + 3x - 2. Find s(1).

Mathematics
1 answer:
ratelena [41]3 years ago
7 0
<h3>Answer:  16</h3>

=============================================================

Explanation:

Equate s(t(x)) and s(1) to find that t(x) = 1 must be the case.

Let's find what x must be.

t(x) = 3x-8

1 = 3x-8

1+8 = 3x

9 = 3x

3x = 9

x = 9/3

x = 3

So plugging x = 3 into t(x) gets us t(x) = 1

In other words, t(3) = 1

So that tells us s(t(3)) = s(1)

-------------

Let's plug x = 3 into the s(t(x)) equation

s(t(x)) = x^2 + 3x - 2

s(t(3)) = (3)^2 + 3(3) - 2

s(1) = 9 + 3(3) - 2

s(1) = 9 + 9 - 2

s(1) = 18 - 2

s(1) = 16

You might be interested in
How many x-intercepts does the graph of each quadratic equation have? Show your work.
Alex73 [517]

Answer:

Step-by-step explanation:

In each case we find the discriminant b^2 - 4ac.

If the discriminant is negative, we have two unequal, complex roots.

If the discriminant is zero. we have two equal, real roots.

If the discriminant is positive, we  have two unequal real roots.

#51:  8v^2 - 12v + 9:  the discriminant is (-12)^2 - 4(8)(9) = -144.  we have two unequal, complex roots

#52:  (-11)^2 - 4(4)(-14) = 121 + 224 = 345.  we  have two unequal real roots.

#53:  (-5)^2 - 4(7)(6) = 25 - 168 (negative).  we have two unequal, complex roots.

#54:  (4)^2 - 16 = 0.  We have two equal, real roots.

4 0
3 years ago
Y=3/2x-3
Inga [223]

Answer:

the answer is (2,-6)

Step-by-step explanation:


5 0
3 years ago
neveah and jason stopped by a restaurant to eat neveah purchased 2 hotdogs and 1 drink for $3.75 jason purchased 3 hotdogs and 2
RoseWind [281]

Answer:

2x + y = 3.75

3x + 2y = 6

Step-by-step explanation:

x = cost of 1 hot dog

y = cost of 1 drink

Neveah: 2x + y = 3.75

Jason: 3x + 2y = 6

5 0
3 years ago
PLS HELP ASAP if you could explain how to do this as well im really slow when it comes to math :/
morpeh [17]

Answer:f(x)= 3*1/k

8=3*1/k

K=3/8

When x=2

f(x)=2*3/8

f(x)=3/4

Step-by-step explanation:

5 0
3 years ago
I need help on the formula for this
Ierofanga [76]
The formula for a come is V=πr^2h/3.

6 0
3 years ago
Other questions:
  • Which function is linear?
    7·1 answer
  • Your friend evaluates (10 – k) = 5 for k= 5, and gets 9 for an answer. Explain your friend's error.
    11·1 answer
  • Which statement is true about this argument?
    6·2 answers
  • What is 4.24 in simplified radical form? (: <br> I think it's 106/25 but I could be totally wrong.
    7·1 answer
  • PLZ HELPPP FIND EQUATION OR WHICH IS EASY PLZ THXS
    6·1 answer
  • X divided by 2 equals seven divided by 10
    6·1 answer
  • 90 students take a test.
    11·1 answer
  • (Will mark brainliest!!!) 20 PTS !!
    12·1 answer
  • Help ;(<br> Solve for x and y
    12·1 answer
  • Can you make a triangle?<br> 8, 2,8
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!