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
barxatty [35]
2 years ago
12

If f(x)=5x^2-8, what is the value of F(-3)?

Mathematics
1 answer:
mr Goodwill [35]2 years ago
8 0

Answer:

F(-3)=5(-3)^2-8

=37

Step-by-step explanation:

Get it?

You might be interested in
Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y
koban [17]

\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}

Substituting this into the other ODE gives

-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0

Since x(t)=-\dfrac14y'(t), it follows that x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16. The ODE in y has characteristic equation

r^2-16=0

with roots r=\pm4, admitting the characteristic solution

y_c=C_1e^{4t}+C_2e^{-4t}

From the initial conditions we get

y(0)=5\implies 5=C_1+C_2

y'(0)=16\implies-16=4C_1-4C_2

\implies C_1=\dfrac12,C_2=\dfrac92

So we have

\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}

Take the derivative and multiply it by -1/4 to get the solution for x(t):

-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}

7 0
3 years ago
Solve the problem: -10 + +10 =
mafiozo [28]
It equals zero negative plus positive equals zero
7 0
2 years ago
Read 2 more answers
Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the
faust18 [17]

Answer:

The length of the side PC is 34 cm.

Step-by-step explanation:

We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.

Suppose BP = 16 cm and AD = 90 cm.

As, it is given that AD = 90 cm and the three sides AB = BC = CD.

From the figure it is clear that AD = AB + BC + CD

So, AB = \frac{90}{3} = 30 cm

BC = \frac{90}{3} = 30 cm

CD = \frac{90}{3} = 30 cm

Since the triangle, BPC is a right-angled triangle as \anglePBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.

Now, the Pythagoras theorem states that;

\text{Hypotenuse}^{2} = \text{Perpendicular}^{2} +\text{Base}^{2}

\text{PC}^{2} = \text{BP}^{2} +\text{BC}^{2}

\text{PC}^{2} = \text{16}^{2} +\text{30}^{2}

\text{PC}^{2} = 256+900 = 1156

\text{PC}=\sqrt{1156}

PC = 34 cm

Hence, the length of the side PC is 34 cm.

4 0
2 years ago
PLEASE HELP! 20 POINTS + BRANLIEST WILL BE GIVEN
SOVA2 [1]

Answer:

The answer is 22.5 miles

Step-by-step excplanation:

5 0
2 years ago
Javonie started a dog walking business over the summer. He walked 8 dogs and earned $160 in July.
Damm [24]

Answer:

a) $340

b) $20

Step-by-step explanation:

a) in the summer (July and August) he earned 160 + 180 = $340

b) in July he earned 160 ÷ 8 = $ 20

7 0
2 years ago
Other questions:
  • A refrigerator costs $850. The estimated yearly operating cost of the refrigerator is $62. Average annual cost = Purchase price
    10·2 answers
  • Name the properties of a rectangle
    7·1 answer
  • Lorne subtracted 6x2 - 2x + 3 from -3r? + 5x2 + 4x - 7. Use the drop-down menus to identify the steps Lorne used
    10·2 answers
  • A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards. A card is chosen at random from the box. What is the proba
    5·2 answers
  • List the coefficients in the expression.
    9·2 answers
  • The figure shows the dimensions of a room. How much carpet is needed to cover the floor of the room?
    15·1 answer
  • Grade 6 module 6 lesson 15
    7·2 answers
  • Help asap will mark branniest thx
    10·1 answer
  • 13) Jim ran 2-miles after school while Tom ran 5
    5·1 answer
  • Plzzzzzzzzzzzz Hepl!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!