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.​

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]

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Answer:

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

Step-by-step explanation:

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

Answer:

0.49

Step-by-step explanation:

just convert 24/49 into a decimal

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

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.

G = A/4

Solve for A by multiplying both sides by 4:

A = 4G

Answer:

Step-by-step explanation:

20% of juice has:

If x cups of juice added we'll have:

The value of R is 12.

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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Answer:

D

Step-by-step explanation:

8^2+8^2=128

Square root of 128 is about 11.313

Answer:

10

Step-by-step explanation:

f(x)=x

subtitute 10 in the place of x:

f(10)=10

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.

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

Answer: x=1.8617                                                                                                                                                                

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

Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

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

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

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

Answer:

40:3

Step-by-step explanation:

1.6kg:120g

1600g:120g

1600:120

160:12

80:6

40:3

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]

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

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

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

Answer:

900

Step-by-step explanation:

1/3 + 2/5 = 11/15

4/15 = 240

4/15 x = 240

4x = 3600

x= 900

Answer:

14,142.858

Step-by-step explanation:

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

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

Answer:

refer pic

sorry for messy handwriting

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