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
kirza4 [7]
2 years ago
15

If f(x)=3x^2-5 and g(x)=-2x+5, then f(3)g(3)=

Mathematics
1 answer:
Vladimir [108]2 years ago
5 0

Answer:

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Step-by-step explanation:

You might be interested in
How express the ratio in simplest form: 85 out of 102
kodGreya [7K]
5:6
The fraction 85/102 goes to 5/6 so it is 5:6 or 5/6...

3 0
3 years ago
Read 2 more answers
Beaker A contains 1 liter which is 15 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which
Tanzania [10]

Answer:

Add 1.25 litres of oil.

Step-by-step explanation:

Contents in beaker A implies;

15% of oil in 1 litre = 0.15 litres of oil

So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.

Contents in beaker B implies:

55% of oil in 2 litres = 1.1 litres of oil

So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.

Half of contents of B poured into A implies that beaker A now contains:

0.15 litres + 0.55 litres = 0.7 litres of oil

0.85 litres + 0.45 litres = 1.3 litres of vinegar

The percentage of oil in A now = \frac{0.7}{2} x 100%

                                                    = 35%

To increase the percentage of oil to 60%, then:

0.7 litres + 1.25 litres = 1.95 litres of oil

But the new total litres of the content in beaker A = 3.25 litres

So that;

\frac{1.95}{3.25} x 100% = 60%

Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.

7 0
3 years ago
What number makes the expressions equivalent? Enter your answer in the box. 12 (–1.4m + 0.4) = m + 0.2
True [87]

Answer:

0.2584

Step-by-step explanation:

12 (–1.4m + 0.4) = m + 0.2

Open the bracket

-16.8m + 4.8 = m + 0.2

collect like terms

-16.8m - m = -4.8 + 0.2

-17.8m = -4.6

Divide both sides by -17.8

m = 4.6/17.8 = 46/178

m = 0.2584

5 0
3 years ago
Read 2 more answers
What is the y-intercept for the function?
Serjik [45]

Answer:

The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.

Step-by-step explanation:

Y - intercept represents the position of a point on y-axis or when a line passes through y-axis, it, actually, passes through a point on y-axis. And that point is called the y intercept. It is usually represented by and as a point, it is represented as.

It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

Hoped this helped! :D

7 0
3 years ago
Read 2 more answers
Point P(−3, −4) is rotated 90° counterclockwise about the origin. What are the coordinates of its image after this transformatio
Neporo4naja [7]
Counter clockwise means it goes backwards so -90°

After the 90° counter clockwise rotation the coordinates are (4,-3)

7 0
3 years ago
Read 2 more answers
Other questions:
  • How many ounces of meat are used to make a 1/4-In hamburger?
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=%20-%20%286h%20%2B%207%29%20%2B%208%20%3D%20%20-%2019" id="TexFormula1" title=" - (6h + 7) + 8
    6·2 answers
  • A unit rate is a value compared to how many units
    12·1 answer
  • Find the unknown length in the right triangle 24mm 32mm
    8·1 answer
  • Please help! i’m struggling in math so much!
    10·1 answer
  • Rx1=r is what kind of property
    13·1 answer
  • What fraction of a gallon of paint is in each container?<br><br>A3/4<br>B1/9<br>C1/12<br>D1/16​
    11·1 answer
  • A) Round 98984 to 1 significant figure.
    13·1 answer
  • Please help me !!!!!!!
    9·1 answer
  • Is g(x)=9+7x a linear equation
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!