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
Alla [95]
3 years ago
12

Given the functions f(x)=4x+8 and g(x)=2x-12 Find f(x)+g(x)

Mathematics
2 answers:
Bingel [31]3 years ago
6 0

Answer:

6x - 4

Step-by-step explanation:

f(x) + g(x)

= 4x + 8 + 2x - 12 ← collect liketerms

= 6x - 4

Margarita [4]3 years ago
5 0

Answer:

<h2>6x - 4</h2>

Step-by-step explanation:

f(x)=4x+8,\ g(x)=2x-12\\\\f(x)+g(x)=\\\\\text{substitute}\\\\f(x)+g(x)=(4x+8)+(2x-12)=4x+8+2x-12\\\\\text{combine like terms}\\\\f(x)+g(x)=(4x+2x)+(8-12)=6x-4

You might be interested in
Is the relationship for Camille’s puppy’s weight in terms of time linear or nonlinear? Explain your response.
Irina18 [472]

Answer:

It is a linear function, because the line has no curve, and the line is constant

Step-by-step explanation:

In a non linear function there would be a curve in the line, in this line there is no curve so therefore it is linear function.

4 0
3 years ago
Read 2 more answers
Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds afte
prisoha [69]

Answer:

Step-by-step explanation:

a) The height of the springboard above the water should be h(0) : Read, the height at t = 0

h(0) = -5(0) + 10(0) + 3

h(0) = 0 + 0 + 3

h(0) = 3

a) 3 meters

b)  The time it takes the diver to hit water should be, the positive 0 solution for t.  Remember, in a quadratic equation,  there are two values for t where a parabola crosses the horizontal axis, which in this case would be t.  Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac)  / 2a

Substitute t for x, and use the coefficients for a, b, c:

t  =  (-10 ± √((102 - 4(-5)(3)))/2(-5)

t = (-10 ±√(100 + 60))/-10

t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:

t = (-10 ±√(10*16))/-10

t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:

t = -2(5 ± 2√10)/-10

t = (5 ± 2√10)/5

Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):

t ≈ 2.265

b) approx. 2.265 seconds for diver to hit water.

c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).

-5tt + 10t + 3 = 3

-5t2 + 10t = 0 ; factor out t

t(-5t + 10) = 0

We know t = 0:

We also know that -5t + 10 = 0

-5t = -10

t = 2

c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.

d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).

h = -10/2(-5)

h = -10/-10

h = 1

h(1) = -5(1)2 + 10(1) + 3

h(1) = -5 + 10 + 3

h(1) = 8

d) At t = 1 second, diver will have reached peak of dive.

e) At t = 1 second, diver will have reached a maximum height of 8 meters.

5 0
2 years ago
Write 0.13 decimal out in words
Scorpion4ik [409]

Answer:

Thirteen hundredth

Step-by-step explanation:

5 0
2 years ago
If ABCD is a parallelogram, m A<br> B<br> (3x + 4)º<br> D<br> xº<br> C<br> Equation:<br> X=<br> (PLEASE HELP)
steposvetlana [31]

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

7 0
3 years ago
What is the value of x?<br> x = ?
meriva

<em> </em><em>Sum </em><em>of </em><em>both </em><em>the </em><em>angle </em><em>will </em><em> </em><em>1</em><em>8</em><em>0</em><em> </em><em>because</em><em> of</em><em> </em><em>linear </em><em>pair</em>

now, <em>1</em><em>0</em><em>x</em><em> </em><em>-</em><em> </em><em>2</em><em>0</em><em> </em><em>+</em><em> </em><em>6</em><em>x</em><em> </em><em>+</em><em> </em><em>8</em><em> </em><em> </em><em>=</em><em>. </em><em>1</em><em>8</em><em>0</em><em> </em>

<em> </em><em> </em><em>1</em><em>6</em><em>x</em><em> </em><em>-</em><em> </em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em>

<em>1</em><em>6</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>9</em><em>2</em><em> </em>

<em>x=</em><em> </em><em>1</em><em>9</em><em>2</em><em>/</em><em>1</em><em>6</em>

<em>x </em><em>=</em><em> </em><em>1</em><em>2</em>

<em>1</em><em>s</em><em>t</em><em> </em><em>angle </em><em>=</em><em> </em><em>1</em><em>0</em><em>0</em>

<em>2</em><em>n</em><em>d</em><em> </em><em>is </em><em>=</em><em> </em><em>8</em><em>0</em>

<em>Hope</em><em> it</em><em> helps</em><em> and</em><em> your</em><em> day</em><em> will</em><em> full</em><em> of</em><em> happiness</em>

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the minimum number of months' worth of living expenses that should be in an emergency fund?
    9·1 answer
  • Given right triangle MNL what is the value of Cos(M)
    13·2 answers
  • What are the solutions of 3 x^2-x+4=0
    10·1 answer
  • Find the difference: 3.45 - 0.12 =
    12·1 answer
  • 0.563498 to 3 decimal places
    12·1 answer
  • 5. What is the volume of the pyramid? *
    7·1 answer
  • A line passes through the points (0, -2) and (3, 4). Find the slope of the line.
    9·1 answer
  • 6th grade math <br><br> 3m + 4m + 5 + 1 -7m
    6·2 answers
  • please help will give BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLI
    11·2 answers
  • 17
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!