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
sweet-ann [11.9K]
3 years ago
14

If f(x) = -x^2 – 1, and g(x) = x + 5, then g(f (x)) = [? ]x^2+[ ]x + [ ]

Mathematics
1 answer:
inna [77]3 years ago
3 0

Answer:

g(f(x)) = - x² + 4

Step-by-step explanation:

To evaluate g(f(x)), substitute x = f(x) into g(x), that is

g(f(x))

= g(- x² - 1)

= - x² - 1 + 5

= - x² + 4

You might be interested in
Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩
klemol [59]

\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle


\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt


\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle


\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1

\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2

\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3


With the initial condition \mathbf r(0)=\langle4,6,3\rangle, we find


\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9

\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6

\dfrac92\cdot0^2+C_3=3\implies C_3=3


So the particular solution to the IVP is


\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle

4 0
3 years ago
10(a-2.5+0.56b) is this equivalent to 10a - 25+56b
kirill115 [55]

Hey there!

10(a - 2.5 + 0.56b)

= 10(a) + 10(-2.5) + 10(0.56b)

= 10a - 25 + 5.6b

= 10a + 5.6b - 25

Therefore, your answer is: 10a + 5.6b - 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0
3 years ago
An advertisement claims that a 5-pound box of detergent will wash 20 loads of laundry. A 5-pound box costs $3.50. A 15-pound box
Llana [10]

Answer. Option  B. 0.8 cents.


Solution:

With a 5-pound box of detergent will wash 20 loads of laundry, then with a 15-pound box (5*3) of detergent will wash 20*3=60 loads of laundry, and you would pay $10.00.

To wash 60 loads of laundry with 5-pound box, you would need three 5-pound box, and you would pay $3.50*3=$10.50.


Then you would save in total $10.50-$10.00=$0.50

And per load, you would save: $0.50/60=$0.008=0.008*100 cents=0.8 cents

6 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the points (-4,8) and (-2, -1).
IRINA_888 [86]

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

5 0
3 years ago
Which types of polygons are the faces of a tetrahedron?
valentina_108 [34]

The answer is the option A, which is: A. Equilateral triangles.

The explanation for this answer is shown below:

By definition, a tetrahedron is a solid in three dimensions that has: six sides, four vertices and four triangular faces. These faces are equilateral triangles, which means that all the sides are equal and all the interior angles measure 60 degrees.

The tetrahedron is also called "triangular pyramid".

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 300/250 simplest form?
    7·1 answer
  • What is the surface area of the cube
    7·2 answers
  • BRAINLIESTTT. ASAP! PLEASE HELP ME :)
    6·1 answer
  • Please answer please
    11·1 answer
  • Write a division problem involving the division of a decimal by a whole number with an estimated quotient of 7.
    9·1 answer
  • A triangle has side lengths 1.5 cm, 2 cm, and 3 cm. Is this a right triangle? Explain.
    8·1 answer
  • hassan and eva rode their bikes from the same starting point. Hassan rode his bike 5/6 of a mile, while eve rode hers 4/7 of a m
    10·1 answer
  • 4(m + 2) = 40<br> solve the equation please
    10·2 answers
  • Help! f(x)=x^2 what is g(x)
    6·1 answer
  • Need answers quickly!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!