if f(x)= 10 – 2x and g(x) = 6x - 5, then (f+g)(x) =

Answers

Answer 1

Answer:

4x +5

Step-by-step explanation:

f(x)= 10 – 2x

g(x) = 6x - 5

(f+g)(x) =10 – 2x + 6x - 5

Combine like terms

            = 4x +5

Answer 2

Answer:

( f + g )( x ) = 4 x + 5

Step-by-step explanation:

f ( x ) = 10 - 2 x

g ( x ) = 6 x - 5

( f + g )( x) = ( (10 - 2 x ) + (6 x -5) )

= 10 - 2x + 6 x - 5

combine like terms

= 2 x + 6 x + 10 - 5

= 4 x + 5


Related Questions

c) Make k the subject of the formula t = ak/ 20

Answers

Answer:

k=20t/a

Step-by-step explanation:

20t=ak

20t/a=k

k=20t/a

The initial temperature of a solution was 16°C. The temperature dropped 3°C every minute. What was the temperature of the water after 15 minutes in °C?​

Answers

Answer:

1 degree c

Step-by-step explanation:

what is the value of x in a circle​

Answers

Answer:

30°

Step-by-step explanation:

x = 180° -60°-90° = 30°

i’m losing my mind over this question :,) help asap would be amazing

find the length of c.

- 12sqrt3

- 16sqrt3

- 12sqrt6

- 16sqrt6

Answers

Answer:

I think it's either C or A

$500 is shared in ration 2:3 between two girls how much money did each girl receive workout please step by step ​

Answers

Answer:

100:350                   simplified: [tex]\frac{2}{7}[/tex]

Step-by-step explanation

A ratio of 2:3 means that for every item of A, we can expect of item B. Therefore, our total group is 2+3=5.

Calculate expected number of item A:

[tex]\frac{2x500}{5}[/tex]

Expected number of item A: [tex]\frac{1000}{5}[/tex]

This fraction can be reduced by 5 giving you:

Expected number of item A: 200

Calculate expected number of item B:

[tex]\frac{3x500}{5}[/tex]

Expected number of item B: [tex]\frac{1500}{5}[/tex]

This fraction can be reduced by 5 giving you:

Expected number of item B: 300

Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?
x = –24, x = 16
x = –16, x = 24
x = –1, x = 9
x = 1, x = –9

Answers

Answer:

x = - 16, x = 24

Step-by-step explanation:

Given f(x) = 7 then equate f(x) to 7

0.5 | x - 4 | - 3 = 7 ( add 3 to both sides )

0.5 | x - 4 | = 10 ( divide both sides by 0.5 )

| x - 4 | = 20

The expression inside the absolute value bars can be positive or negative, so

x - 4 = 20 ( add 4 to both sides )

x = 24

OR

- (x - 4) = 20

- x + 4 = 20 ( subtract 4 from both sides )

- x = 16 ( multiply both sides by - 1 )

x = - 16

Answer:

The Answer is B

Step-by-step explanation:

Your Welcome

PLEASE HELP MEEE I NEED HELP

Answers

Answer:

how do I do another question

Answer:

6 seconds

Step-by-step explanation:

Start by assigning x to value you are trying to find - in this case, the number of seconds until Luigi catches up with Mario.

After x seconds, the distance Luigi has traveled will be the same as the distance Mario has traveled plus 90, since Mario is 90 meters ahead of Luigi.

So our equation is 50x = 35x + 90

Subtracting 35x from both sides: 15x = 90

Dividing both sides by 15: x = 6

So Luigi will catch up with Mario in 6 seconds.

11) Write the explicit formula
for the sequence below and
use it to find the 47th term:
-3, 5, 13, 21,...

Answers

Answer:

365

Step-by-step explanation:

tn = t1 + (n - 1)(d)

t(47) = -3 + (47 - 1)(8)

t(47) = -3 + (46)(8)

t(47) = -3 + 368

t(47) = 365

Triangles J K L and X Y Z are shown. The length of side J is 3, the length of side K is 6, and the length of side L is 4. The length of side X is 4, the length of side Y is 4, and the length of side Z is 5.
Classify each of the triangles as acute, obtuse, or right.



Triangle JKL is
triangle.

Triangle XYZ is
triangle.

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, scalene, obtuse, equilateral, isosceles and right angled triangle.

For a right angled triangle, the square of the longest side (hypotenuse) is equal to the sum of the square of the remaining two sides.

For an obtuse triangle, the square of the longest side is greater than the sum of the square of the remaining two sides.

For an acute triangle, the square of the longest side is less than the sum of the square of the remaining two sides.

In triangle JKL:

J² + L² = 3² + 4² = 25

K² = 6² = 36 > 25 (J² + L²)

Hence triangle JKL is an obtuse triangle

In triangle XYZ:

X² + Y² = 4² + 4² = 32

Z² = 5² = 25 < 32 (X² + Y²)

Hence triangle XYZ is an acute triangle.

Answer:

obtuse & acute

Step-by-step explanation:

Keller performed the work below to express the polynomial in factored form:
r(x) = x4 – 8x2 – 9
r(x) = (x2 + 1)(x2 – 9)
(x) = (x + 1)(x – 1)(x + 3)(x – 3)
Explain the error he made and complete the factorization correctly.

Answers

Answer:

He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots.

Step-by-step explanation:

He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots. The true factorized form of the fourth grade polynomial is:

[tex]r(x) = (x^{2}+1)\cdot (x^{2}-9)[/tex]

[tex]r(x) = (x- i)\cdot (x+i)\cdot (x+3)\cdot (x-3)[/tex]

The function h is defined by h (x) = 3x2 + 7.
Find h(5x).
h (5x) = ?

Answers

Answer:

h(5x) = 75x² + 7

Step-by-step explanation:

h(x) = 3x² + 7

h(5x) = 3(5x)² + 7

h(5x) = 3(25x²) + 7

h(5x) = 75x² + 7

[tex]h(5x) = 75x^2 + 7[/tex]

To find h(5x), you simply need to substitute 5x in place of x in the function [tex]h(x) = 3x^2 + 7[/tex] and then simplify the expression.

[tex]h(x) = 3x^2 + 7[/tex]

Now, replace x with [tex]5x: h(5x) = 3(5x)^2 + 7[/tex]

Simplify: [tex]h(5x) = 3(25x^2) + 7[/tex]

Now, calculate [tex]3 * 25: h(5x) = 75x^2 + 7[/tex]

So, [tex]h(5x) = 75x^2 + 7[/tex]

To know more about substitute:

https://brainly.com/question/29383142

#SPJ2

What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
5x2 – 168 = -60x + 12

Answers

Answer:

5x2 – 168 = -60x + 12

5x*2 – 156 = -60x

-55x*2=156

55x=-78

x=-1.41818181818

also know as 18/7 or 1 4/7

Answer:

[tex](x+6)^{2}[/tex] = 51

Step-by-step explanation:

5x2 – 168 = -60x + 12

5x2  + 60 x – 180 = 0

[tex]x^{2}[/tex]  + 12 x – 15 = 0

[tex]x^{2}[/tex]  + 12 x   = 15

        + 36      + 36

[tex]x^{2}[/tex]  + 12 x  + 36  =  51

[tex](x+6)^{2}[/tex] = 51

[tex]\sqrt{(x+6)^{2} }[/tex] = [tex]\sqrt{51}[/tex]

x + 6 =  [tex]\sqrt{51}[/tex]

x   = -6 ± [tex]\sqrt{51}[/tex]

Convert log_8 1=0 into an exponential equation
o 1^0=8
O 0^8=1
o '8^0=1
o '8^=8

Answers

Given:

The logarithmic equation is:

[tex]\log_81=0[/tex]

To find:

The exponential equation for the given logarithmic equation.

Solution:

We have,

[tex]\log_81=0[/tex]

It can be rewritten as:

[tex]8^{\log_81}=8^{0}[/tex]

Using [tex]a^{\log_ax}=x[/tex], we get

[tex]1=8^0[/tex]

[tex]8^0=1[/tex]

Therefore, the correct option is C.

plzx solve it with steps....



how many terms of the A P -6,11/2,-5......are needed to give the sum -25??




plzx give me all the steps....!!​

Answers

I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.

The n-th term of the sequence, starting with n = 1, is then

-6 + 0.5 (n - 1) = 0.5n - 6.5

and we want to find the number N such that

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]

We have

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]

Solve for N :

0.25 N ² - 6.25N + 25 = 0

N ² - 25N + 100 = 0

(N - 20) (N - 5) = 0

N = 20   or   N = 5

Using the image above, which of the following are opposite rays?
Select one:
LQ and PQ
LP and QP
QP and PL
PL and PQ

Answers

Answer:

The answer is LP and QP, and PL and PQ.

Step-by-step explanation:

Do you want to know from where I got the answer?

I got this answer from an app called Gauthmath where I found the solution for it direct from the tutor, which is right in most cases. You can check the app at Play Store and App Store.

Hope this helps.

can someone help me with this question ​

Answers

Answer:

What does the question mean can u explain me after that I will help u out in question

Please help I’ll give brainliest

Answers

9^5 that’s the answer

Write the complement of (90° - a)

Answers

Answer:

The complement is ‘a’

Step-by-step explanation:

Mathematically, when two angles are complementary, or said to be a complement of each other, when added, they equal 90 degrees

So, by subtracting the above from 90 degrees, we have its complement

So, we have this as;

90 - (90-a)

= 90 - 90 + a = a

i 6 = solve plz........

Answers

I think it might be i6 = 6i I’m sorry if it’s wrong.

what are the domain and range of the function on the graph?

Answers

Answer:

The domain: All real numbers.

The range: y>0

Step-by-step explanation:

Domain means all possible x values, and by looking at the graph it covers all real numbers.

Range means all possible y values, and since the x axis is a horizontal asyntope, the graph will never touch the x axis, which is why the range is y>0.  

Please help I’ll give brainliest

Answers

Answer:

[tex]3ft^2[/tex]

Step-by-step explanation:

SA = [tex]6a^{2}[/tex]        

SA = [tex]6(3)^2[/tex]      Solve for the exponent first

SA = 6(9)       Multiply

SA = 54 square feet  

Which is equivalent to 3V8^1/4x


BROO SM PLS HELP

Answers

Answer:

= 24 3/4x

Step-by-step explanation:

3* 8 1/4x

Here 8 1/4 is a mixed fraction.

Convert it to improper fraction

8 1/4 = 33/4

So, 3*33/4 x

99/4 x

= 24 3/4x

That is

Hope this will helpful.

gimmie brainlist :)

The third option: 12 times the root of 8^12.

EXPLANATION:
the third root of 8 is the same as 8 to the 1/3 power, so you’d have (8^1/3)^1/4x
Then you multiple the exponents together to get 8^1/12x, which is the same as the 12th root of 8 to the power of x.

Could someone please help and explain how to do this

Answers

Answer:

Step-by-step explanation:

just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]

1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Answer:1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Step-by-step explanation:

Help pls 20 pts math

Answers

Answer:

point a

Step-by-step explanation:

start from the axis go up 3 to the left one and point a is five units below point g

Answer:

Point B is 5 units from point G.

Step-by-step explanation:

The ordered pair (3,-1) is 4 units down from point D.

And point B is 5 units to the left of point G.

Help plzzz plzzz asappp!!!!

Answers

Answer:

α = 27.9794744° ≈ 28.0 m (nearest tenth)

Step-by-step explanation:

Step 1:

Opposite (O) = 42.5 (the side opposite to the reference angle, α)

Adjacent (A) = 80

Hypotenuse (H) = the longest side opposite to the right angle

2. We are given the adjacent (A) and opposite (O) lengths, we would use TOA. Which is:

Tan α = Opp/Adj

Plug in the values

Tan α = 42.5/80

3. Make α stand alone

α = [tex] tan^{-1}(\frac{42.5}{80}) [/tex]

4. α = 27.9794744° ≈ 28.0 m (nearest tenth)

In one area, the lowest angle of elevation of the sun in winter is 20 degrees. Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary.

Answers

Answer:

11.1 feet

Step-by-step explanation:

From the solution triangle attached, the required distance is represented as x ; the value of x can be obtained using trigonometry ;

Cosθ = opposite / Adjacent

Cos 20 = 10.5 / x

x * Cos 20 = 10.5

x = 10.5 / cos 20

x = 11.174 feets

The sum of the measures of the angles of a quadrilateral is 360 degress. Quadrilateral JKLM has one right angle. Use the angles relationships and measure given below to find the measure of angle k

Answers

Answer:

Measure Of Angle K is 82*

Step-by-step explanation:

According To Question, We Have Given

A Quadrilateral JKLM, We Know Sum Of All The Angles Of Quadrilateral Is 360* .

Thus

∠JKL=90*

∠KLM= 180* - 110* = 70* ( Find Diagram In Attachment )

∠MJK=118* (Alternative Opposite Angle)

Now We Have To Find The Value Of ∠LKJ.

∠K = 360* - (∠MJK+∠KLM+JKL)

∠K = 360* - (118* + 70* + 90*)

∠K = 360* - 278*

∠K = 82*

(Diagram, Please Find In Attachment)

2124/4=?
(PLEASE SHOW STEPS)

Answers

Answer:

531

Step-by-step explanation:

2124 = 4% × Y

Y = 2124 × 100/4

Y = 2124 × 100 ÷ 4

Y = 53100

513
Is right but the person right below has the answers right

Math III WSD CRC QT 1.25 CR
Which expression illustrates the associative property of addition?
O (3 + 19) – 12 = (3 + 12) – 19
3+ (19 - 12) = 3 + (19 + 12)
(3 + 19) - 12 = 3+ (19 - 12)
3+ (19-12) = 3 - (19 + 12)

Which expression illustrates the associative property to addition?

Answers

Answer:

5ff5yvy hh h

Step-by-step explanation:

ctvtvh j h h h j

Hallar la ecuación general de la recta que pasa por el punto ( -2 , 3 ) y es paralela a esta recta -3y+2x=1.

A.
-2x-3y-13=0

B.
2x+3y-13=0

C.
-2x+3y+13=0

D.
-2x+3y-13=0

Answers

15 bjvggguj hhh guy guy yu
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