What is (f + g)(x)? f(x) = -5x + 3 g(x) = -3x? Write your answer as a polynomial or a rational function in simplest form.​

Answers

Answer 1

Answer:

- 8x + 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 5x + 3 + (- 3x)

= - 5x + 3 - 3x ← collect like terms

= - 8x + 3


Related Questions

How many cups of 15% juice
must be added to 10 cups of
20% juice so that the mixture is
17% juice?

Answers

Answer:

15 cups

Step-by-step explanation:

20% of juice has:

10*0.2 = 2 cups of extract

If x cups of juice added we'll have:

2 + x*0.15 = 0.17(10 + x)2 + 0.15x = 1.7 + 0.17x0.17x - 0.15x = 2 - 1.70.02x = 0.3x = 0.3/0.02x = 15

help plz ^^^^^^^^^^!!!!!!!

Answers

Answer:

refer pic

sorry for messy handwriting

hope it help u and i appreciate if you give brainliests, thanks

I need help with 13

Answers

9514 1404 393

Answer:

  g(x) = (x -3)² -6

Step-by-step explanation:

You know that a function f(x) is translated h units to the right when x is replaced by x-h.

  g(x) = f(x-h) . . . . . translated h units right

You also know that a function f(x) is translated k units up when k is added to the function value.

  g(x) = f(x) +k . . . . . translated k units up

__

Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...

  g(x) = f(x -3) -6

Using the given definition of f(x), this becomes ...

  g(x) = (x -3)² -6

Araba used ⅓of her salary on food and ⅖ on other items. If she saved the remaining amount of 240 cedis, how much is Araba's salary

Answers

Answer:

900

Step-by-step explanation:

1/3 + 2/5 = 11/15

4/15 = 240

4/15 x = 240

4x = 3600

x= 900

Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?​

Answers

Answer:

1/4 chance

Step-by-step explanation:

First you need to find the probability of Tess choosing a red ribbon.

1/2

Then you need to multiply that probability by the reciprocal of 2, which is 1/2

1/2 x 1/2 = 1/4

Determine the values of X, Y and Z on the following number line:
HH
X -11 Y 9 Z

Answers

-11 y 17 with z and x on the line

What is the value of R? (Assume R > 0)
R/4=36/R
A)8
B)9
C)12
D) 20

Answers

The Answer Should Be D

The value of R is 12.

What are square roots?

A value that yields the original number when multiplied by itself is known as the square root of a number. The square root is a backwards technique for figuring out a number. Thus, squares and square roots are connected ideas.

Given R/4 = 36/R

multiply both sides by R

R/4 x R = 36/R x R

R²/4  =  36

multiply both sides by 4

R²/4 x 4 =  36 x 4

R² = 144

so R = √144

R = 12

Hence R = 12 for given condition.

Learn more about square roots;

https://brainly.com/question/3120622

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What is the length of MO?

Select the best answer from the choices provided.
A.4
B.5.656
C.8
D.11.314

Answers

Answer:

D

Step-by-step explanation:

8^2+8^2=128

Square root of 128 is about 11.313

Plessse help, thanks
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 9t3 + 24t2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?

5 months
3 months
2 months
1 month

Answers

Replace t with the months given as choices to see which one gives a positive value as an answer.

P(1) = 1^4-9(1)^3 + 24(1)^2-20(1) = -4

P(2) = 2^4-9(2)^3+24(2)^2-20(2) = 0

P(3) = 3^4 -9(3)^3+24(3)^2-20(3) = -6

P(5) = 5^4-9(5)^3+24(5)^2-20(5) = 0

P(6) = 6^4-9(6)^3+24(6)^2-20(6) = 96

It shows a profit in month 6 so it would start showing a profit in month 5.

The answer is 5 months

Can someone help me pls ASAP

Answers

It’s 1+5+11+3= 20 and that’s the answer of the number

What is 2 plus 2 equal

Answers

Answer:

2 + 2 = 4

Step-by-step explanation:

Logically, the response of 2 + 2 = 4. This is because the sign in the problem is addition. Another way to look it,  If we have 2 oranges and have another 2 oranges we have four oranges.

IT
17) Between which two consecutive whole numbers does the length of the diagonal
fall? The length of the diagonal is between
a) 3 and 4 b) 4 and 5
c) 5 and 6 d) 6 and 7
V 18

D
Ос
Od

Answers

Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

For the functions below, calculate the indicated function values.
(1 Point)
f (x) = x 8(x) = 5x - 12 h (x) = x2 + 4x - 7
Find f (10)
A. 10
B. 12
C. 38
Help!?

Answers

Answer:

10

Step-by-step explanation:

f(x)=x

subtitute 10 in the place of x:

f(10)=10

What is (x)
9.4x+17.5

Answers

Answer: x=1.8617                                                                                                                                                                

Step-by-step explanation: 9.4x+17.5                                                                     9.4x/9.4=17.5/9.4                                                                                                     x=1.8617                                                                                                                                                                  

find the area of the shades figure

Answers

Answer:

14,142.858

Step-by-step explanation:

If (x,2) is a solution to the equation -2x+4y=-8, what is the value of x

Answers

Answer:

x=8

Step-by-step explanation:

-2x+4y=-8

Let y = 2

-2x+4*2=-8

-2x+8=-8

Subtract 8 from each side

-2x+8-8=-8-8

-2x=-16

Divide by -2

-2x/-2 = -16/-2

x = 8

y=2
-2x+4×2=-8
-2x+8=-8
-2x=-8-8
-2x=-16
x=8

Hope my answer helped u :)

g=A/4


fous on a please

Answers

G = A/4

Solve for A by multiplying both sides by 4:

A = 4G

Algebra
I need to work this out help me please

Answers

There must be more to the problem

X-2y-2=0 in slope-intercept form

Answers

Answer:

y = x/2 - 1

Step-by-step explanation:

Just throw everything to the right till only y is on the left side

X-2y-2=0

- 2y =-x+2

2y = x - 2

y = x/2 - 1

Math geometry (10 points)

Answers

It’s going to be c because I said so just trust me

Please help me I’m struggling!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)

Answers

Answer:

Points lie on the same line if and only if the points are collinear

Step-by-step explanation:

Change the mixed form into improper fraction.


[tex]3 \times \frac{3}{8} = [/tex]

Answers

this answer is 2 2/8 i think
The improper fraction is 9/4

Please solve all 6 questions and show work... I will mark you brainliest and rate you five stars

Answers

Answer:

17.

9x - 2 = 8x + 6 (opposite angles on the transversal)

9x - 8x = 6+2

x = 8

18.

-5 + 21x + 15x +5 = 180 (angles on the same side of transversal add up to 180)

36x = 180

x = 180/36

x = 5

19.

9x + 4 + 95 = 180  (angles on the same side of transversal add up to 180)

9x + 99 = 180

9x = 180-99

9x = 81

x = 81/9

x = 9

20.

16x - 2 = 110 (opposite angles on the transversal)

16x = 110 +2

16x = 112

x = 112/16

x = 7

21.

29x + 4 = 31x -4 (opposite angles on the transversal)

4 + 4 = 31x - 29x

2x = 8

x = 8/2

x= 4

22.

12x + 2 + 6x + 16 = 180(angles on the same side of transversal add up to 180)

18x +18 = 180

18x = 180-18

18x = 162

x = 162/18

x = 9

What is the ratio 1.6 kg: 120g lowest term?

Answers

Answer:

40:3

Step-by-step explanation:

1.6kg:120g

1600g:120g

1600:120

160:12

80:6

40:3


HELP FAST PLEASE


Colton has a bag that contains orange chews, lemon chews, and peach chews. He
performs an experiment. Colton randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Colton performs the experiment 49 times.
The results are shown below:
A orange chew was selected 18 times.
A lemon chew was selected 6 times.
A peach chew was selected 25 times.
Based on these results, express the probability that the next chew Colton removes
from the bag will be orange or lemon as a decimal to the nearest hundredth.

Answers

Answer:

0.49

Step-by-step explanation:

just convert 24/49 into a decimal

please help me with these questions I am begging anyone please help

(a)• production cost of a wooden cupboard is Rs.30,000.the manufacturer marked the price in order to obtain a 20% profit .if the payment is done outright 2% discount is given

questions


(1) what is the marked price of the cupboard?

(2) what is the outright price of the cupboard?

(3) find the price percentage gained by selling the cupboard for outright price ?

(b)• a furniture seller asks for 5% commission to sell 5 cupboard of Rs.35.000 each find the commission he receives



please help me ​

Answers

Answer:

1)rs.6000

Step-by-step explanation:

1)30 000*20/100=rs.6000

Sorry I don't know the answers for other questions cause I don't know outright price

If f(x) = -8 - 5x, what is f(-4)

Answers

Answer:

f(- 4) = 12

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x) , that is

f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12

f(x)=-8-5x

[tex]\\ \rm\longmapsto f(-4)[/tex]

Put -4 inplace of x

[tex]\\ \rm\longmapsto -8-5(-4)[/tex]

[tex]\\ \rm\longmapsto -8+20[/tex]

[tex]\\ \rm\longmapsto 12[/tex]

Find the sum of 8a –2b + 3c and –3a +4b –3c

Answers

ANSWER:
5a+2b

add the like terms together

Answer: 5a + 2b

Step-by-step explanation:

Given

(8a - 2b + 3c) + (-3a + 4b - 3c)

Expand parentheses

=8a - 2b + 3c - 3a + 4b - 3c

Put like terms together

=(8a - 3a) + (4b - 2b) + (3c - 3c)

Combine like terms

=5a + 2b + 0

=[tex]\boxed{5a+2b}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Find an expression which represents the sum of (8x + 10y) and (-4. – 3y) in
simplest terms.
Answer:
Submit Answer
attempt 1 out of 2

Answers

8x+7y-4 right answer !

12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6

Answers

Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:

The number of triangles that can be formed by an n-sided shape is n - 2.

Given that:

[tex]n \to[/tex] number of sides

From the attached figures, we have the following observation.

3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 triangles

If this pattern continues, the number of triangles for an n-sided shape will be: n - 2

Hence, the conjecture is:

The number of triangles that can be formed by an n-sided shape is n - 2.

Read more about conjectures at:

https://brainly.com/question/15947300

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