F (x)= 5x-14 G (x)= 12x+8 H (x)= 62x-54 Dadas las funciones resolver las siguientes operaciones a. F (x)+ G (x) b. G (x)- (H (x)-F (x)) c. (G (x)-F (x)) (H (x)+G (x) d. (F (x)-H (x))/ (G (x)+ F(x) e. G (x) / H (x9

Answers

Answer 1

Answer:

a) [tex]17\cdot x -6[/tex], b) [tex]-45\cdot x +48[/tex], c) [tex]518\cdot x^{2} +1306\cdot x -1012[/tex], d) [tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex], e) [tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]

Step-by-step explanation:

Sean [tex]f(x) = 5\cdot x -14[/tex], [tex]g(x) = 12\cdot x + 8[/tex] y [tex]h(x) = 62\cdot x - 54[/tex]. A continuación, desarrollamos las siguientes operaciones:

a) [tex]f(x) + g(x)[/tex]

[tex](5\cdot x - 14) + (12\cdot x + 8)[/tex]

[tex]17\cdot x -6[/tex]

b) [tex]g(x) - [h(x)-f(x)][/tex]

[tex](12\cdot x + 8) - [(62\cdot x - 54)-(5\cdot x - 14)][/tex]

[tex]12\cdot x + 8 - (57\cdot x -40)[/tex]

[tex]12\cdot x +8 -57\cdot x +40[/tex]

[tex]-45\cdot x +48[/tex]

c) [tex][g(x)-f(x)]\cdot [h(x)+g(x)][/tex]

[tex][(12\cdot x + 8)-(5\cdot x -14)]\cdot [(62\cdot x -54)+(12\cdot x +8)][/tex]

[tex](12\cdot x +8 -5\cdot x +14) \cdot (62\cdot x -54+12\cdot x+8)[/tex]

[tex](7\cdot x +22)\cdot (74\cdot x-46)[/tex]

[tex]7\cdot x \cdot (74\cdot x - 46)+22\cdot (74\cdot x -46)[/tex]

[tex](7\cdot x)\cdot (74\cdot x) - 46\cdot (7\cdot x )+22\cdot (74\cdot x)-22\cdot (46)[/tex]

[tex]518\cdot x^{2}-322\cdot x +1628\cdot x -1012[/tex]

[tex]518\cdot x^{2} +1306\cdot x -1012[/tex]

d) [tex]\frac{f(x)-h(x)}{g(x) + f(x) }[/tex]

[tex]\frac{(5\cdot x - 14)-(62\cdot x - 54)}{(12\cdot x +8)+(5\cdot x -14)}[/tex]

[tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex]

e) [tex]\frac{g(x)}{h(x)}[/tex]

[tex]\frac{12\cdot x + 8}{62\cdot x - 54}[/tex]

[tex]\frac{4\cdot (3\cdot x +2)}{2\cdot (31\cdot x -27)}[/tex]

[tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]


Related Questions

HElps What is M∠1 =??

Answers

Answer:

m<1 = 145

Step-by-step explanation:

I'm going to name the unkown angle y for clarification

<1 will be x

y + 115 + 30 = 180

y + 145 = 180

y = 35

x + y = 180

x + 35 = 180

x = 145

Answer:

M angle 1 = 145

Step-by-step explanation:

The measurement of angle one is a combination of all the angles present in the triangle. This means that 115+30 is equal to angle 1


What is the value of the expression?
9X3-9x
20
-5

Answers

Answer:

9x^3-5

Step-by-step explanation:

Are these triangles similar? explain why did you pick yes or no.

Answers

No, their angles are not actually the same. The missing angle in the larger triangle is actually 31 rather than 41, although the picture is trying to trick you into thinking otherwise.

Item 4 Identify the initial amount $a$ and the rate of growth $r$ (as a percent) of the exponential function $y=12\left(1.05\right)^t$ . Evaluate the function when $t=5$ . Round your answer to the nearest tenth.

Answers

Answer:

Initial amount = 12

Rate of growth = 5%

value of the function when t t = 5 is 15.3

Step-by-step explanation:

The standard exponential growth equation is expressed as;

y = A(1+r)^t

A is the initial amount

r is the rate of growth

t is the time

Given the expression y = 12(1.05)^t

On comparing with the general formula;

A  = 12

Hence the initial amount is 12

Also;

1 + r  = 1.05

r = 1.05 -1

r = 0.05

r = 0.05 * 100

r = 5%

The rate of growth is 5%

To evaluate the function when t = 5, we will substitute t = 5 into the given function as shown;

Recall that y = A(1+r)^t

y = 12(1.05)^5

y = 12(1.2763)

y = 15.3 (to the nearest tenth)

someone help lol. bsbajajzisksnzjiskakzkz

Answers

Answer:

Nah I have grids

Step-by-step explanation:

Write the equation of the line shown on the graph in slope-intercept form.

Remember Slope-Intercept Form is y=mx+b

Answers

Answer:

[tex]y = x -3[/tex]  

Step-by-step explanation:

1) First, find the slope by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. We can see that the two points marked on the line are (0, -3) and (3,0). So, substitute the x and y values of those points into the formula and solve:

[tex]m = \frac{(0)-(-3)}{(3)-(0)} \\m = \frac{0+3}{3-0} \\m = \frac{3}{3} \\m=1[/tex]

So, the slope is 1.

2) Slope-intercept form is represented by the formula [tex]y = mx+b[/tex]. Substitute values for [tex]m[/tex] and [tex]b[/tex] in order to write an equation.

Substitute 1 for [tex]m[/tex] since it represents the slope. Substitute -3 for [tex]b[/tex] since it represents the y-intercept. (Remember that the y-intercept is the point at which the line intersects the y-axis. So, by looking at the graph provided, we can see that (0,-3) is the y-intercept without doing any calculations.) This gives the following answer:

[tex]y = x -3[/tex]

Which statement best describes the polynomial?
-24^7 - 12x^2 -9x+6
It is in standard form because the exponents are in order from highest to lowest.
It is in standard form because the coefficients are in order from highest to lowest.
It is not in standard form because the constant should be the first term.
It is not in standard form because it can be further simplified.

Answers

Answer:-12[tex]x^{2}[/tex]-9x-4584671418

Step-by-step explanation:

Answer:

A. It is in standard form because the exponents are in order from highest to lowest

Step-by-step explanation:

On edg 2021

PLZ HELP! How many solutions does the system of linear equations have?
Y= -2x Y=-2x+5
two
one
infinitely many
none ​

Answers

Answer:

one

Step-by-step explanation:

81^5 = 3x pls help edg 2021

Answers

Answer:

if you have a calculator...

Step-by-step explanation:

take 85 to the 5th power and then divide that by 3.

Answer:

20

Step-by-step explanation:

correct on edge

PLEASE HELPPP! I have to solve for X, this was my warmup but I'm not smart and I need to turn it in today!

Answers

Answer:

X=8

Step-by-step explanation:

48+22=70

4×8=48

so X is 8

Please help! Thank you! :))

Answers

The percent increase is a 30% increase.
Explaination: if you take 195-150 and get 45, you get close to 30% so it’s pretty close to the answer.

what is 3 (2х-5) 2х+3=1

Answers

3(2x-5)+2x+3=1

6x-15+2x+3=1

8x-12=1

    +12 +12

8x=13

/8   /8

x=1.625

---

sorry if this doesn't help

inecuaciones 2x<18 resolver​

Answers

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

It is 9

Step-by-step explanation:

2÷18=9

x=9

Hope ld this helped you

helpp me plss i need to pass this class

Answers

All three are equivalent.
1.) 6(a+2)=6a+12
2.) 6a+12
3.) 3(2a+4)=6a+12
Answer is D

which property of multiplication is shown? 4 x 1 + 4 x 3 = 4 x (1+ 3

Answers

Answer:

The properties of multiplication are distributive, commutative, associative, removing a common factor and the neutral element.

Step-by-step explanation:

The properties of multiplication are distributive, commutative, associative, removing a common factor and the neutral element.

What the first person said

Round two of giving people free Brainiest for ranks

Answers

Answer:

can I please get brainliest

Step-by-step explanation:

75% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?

Answers

Answer:

100%-75%= 25%

...........

The percentage that represents the number of salmon decrease when passing through a single dam will be 25%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

75% of salmon pass through a single dam unharmed.

The percent that represents the number of salmon decrease when passing through a single dam will be given as,

⇒ 100% - 75%

⇒ 25%

The percentage that represents the number of salmon decrease when passing through a single dam will be 25%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

f (×)=12× +5. f (2)=​

Answers

Answer:

f(2)=29

Step-by-step explanation:

just plug in 2 for x

12(2) +5

24+5

29

If T is the centroid of ∡MNP, TN = 16, MQ = 23, and RP = 18, find each missing measure.


a) QT = ______

b) QN = ______

c) QP = ______

d) MP = ______

e) RT = _______

f) TP = ________

Answers

Answer:

a) QT = 8

b) QN = 24  

c) QP = 23

d) MP = 46

e) RT = 6

f) TP = 12

Step-by-step explanation:

Find the diagram attached

If T is the centroid of<MNP, then the following are true;

TN = 2QT

Given TN = 16

16 = 2QT

QT = 16/2

QT = 8

QN = QT + TN

QN = 8 + 16

QN = 24

MQ + QP = MP and MQ = QP

If MQ = 23

QP = 23

Recall that MP =  MQ + QP

MP = MQ + MQ

MP = 2MQ

MP = 2(23)

MP = 46

Similarly, TP = 2RT

RT = TP/2

Also RP = RT + TP

RP = RT + 2 RT

RP = 3RT

18 = 3RT

RT = 18/3

RT = 6

Recall that TP = 2RT

TP = 2(6)

TP = 12

10,000-99 what does it mean and what does it add up to i am confused

Answers

9901 is the answer what do you mean add up it’s subtraction

hello! I need help. Please explain how you got the answer.​

Answers

Answer:

4/15

Step-by-step explanation:

Since Hannah spent 1/3 of the money on books and 2/5 of the money on presents, she currently has 1/3 * 900 = 300 dollars gone on books and 2/5 * 900 = 360 dollars gone on presents. Adding them, she has a total of 660 dollars gone on both books and presents. Now, we need to find the fraction of the 900 dollars that she has left. We need to divide the remaining money (900 - 660 = 240) by the total money she had to figure that out.

240 / 900 = 4/15

A developer claims that the percent of city residents who favor building a new football stadium is likely between 52.3% and 61.7%.How many residents were surveyed? Round your answer to the nearest whole number

Answers

Answer: 453

Step-by-step explanation:

To solve the question, we have to calculate the margin of error which will be:

= (61.7% - 52.3%) / 2

= 9.4% / 2

= 4.7%

4.7% = 1 / ✓n

0.047 = 1 / ✓n

✓n = 1 / 0.047

✓n = 21.28

Square both sides to.gwt the value of n

n = 21.28²

n = 452.69

n = 453

453 residents were surveyed

Answer the question pls

Answers

Answer:

f=54

Step-by-step explanation:

ma is m times a 3x18= 54

Answer:

F = -54

Step-by-step explanation:

You plug in the numbers that you can

so.. F = ma     -ma= m * a

M= 3

a = -18

F = 3* (-18)

because there is one (-) number and you are multiplying your answer is going to be (-)

F= -54

PLZZZ HELP I NEED HELP

Answers

Answer:

n / 8

p x 4

b + 14

Step-by-step explanation:

Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution to the equation below.2x^2 +3x - 20 = 0
A) x= -5/2, 4
B) x = -4, -3/2
C) x= -4, 5/2
D) x= -4, 3/2

Answers

Answer:

C. x = -4, 5/2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

I did the quadratic formula, so 2 is A, 3 is B, and -20 is C. I got -4 and 5/2 as my answers...

(hope this helps :P)

What is the base of the triangle? Pls I need it ASAP

Answers

Answer: 10 I think not sure

Step-by-step explanation: 1/2 base times height-> 1/2(6•10)

A triangle is B x H divided by 2. If the area is 30, then to work backwards we multiply it by 2. That gets us 60, and if one of the sides is 6, that can only mean it’s 10

PLEASE HELP! DUE TONIGHT

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer is B
Workup in photo below

Express 12 as a sum, a difference, a product, and a quotient.

Answers

6+6, 13-1, 6x2, 24/2
5+ 7 =12
100- 88 =12
3x 4 = 12
24 divided by 2 =12

The top of a can of soup has a radius of 3.4 centimeters. If the can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can? Select one:

O 370cm²
0 218cm²
O 54cm²
O 109cm²​

Answers

Answer:

Option B 218 cm^2

Step-by-step explanation:

Given data

Radius= 3.4cm

Height= 10.2cm

Required

The curve surface area of the can of soup

Area of the curved surface will be = 2πr × h = 2πrh.

Substitute

Area of curve surface= 2*3.142*3.4*10.2

=218 cm^2 Approx

Someone please help me I’ll give out brainliest please don't answer if you don’t know

Answers

Answer:

5y+4x

Step-by-step explanation:

Answer:

4x + 5y

Step-by-step explanation:

3y + 3x + 2y + x

4x + 5y

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