perform the following operations when f(x)= x^2+5x and g(x)=4x-7

9. f(x)+g(x)
10. f(x)-g(x)
11. f(x)•g(x)
12. g(x)-f(x)

Answer:

8

Step-by-step explanation:

12 times x (the first square) is equal to 16 times x-2 (the second square)

[tex]12x = 16(x-2)[/tex]

Distributed

[tex]12x = 16x-32[/tex]

Simplified (divided by 16)

[tex]0.75x = x-2[/tex]

Subtract x from both side of the equation

[tex]-0.25x = -2[/tex]

Both negatives cancel each other out

[tex]0.25x = 2[/tex]

0.25 times what equals 2,...

[tex]x = 8[/tex]

Hope it help,... and I'll see you in life,... well not really, but you get the idea,... Chow,...!

Answer:

-59049/1048576

Step-by-step explanation:

using indices law you just follow the steps

Answer:

<SDQ

Step-by-step explanation:

Eg if a = b, b = c, then a = c

Answer:

9[tex]\frac{75}{84}[/tex]

get a common denominator between 6,12,7,2 = 84

Step-by-step explanation:

[tex]$x$: $x = \frac{x}{6} + \frac{x}{12} + \frac{x}{7} + 5 + \frac{x}{2} + 4$[/tex]

The solution is x = 84

The value of the equation is A = 84

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x = ( x/6 ) + ( x/12 ) + ( x/7 ) + 5 + ( x/2 ) + 4   be equation (1)

On simplifying the equation , we get

x = [ ( x/6 ) + ( x/12 ) + ( x/7 ) + ( x/2 ) ] + 9

Now , on further simplification , we get

x = [ ( x/7 ) + ( x/2 ) ] + [ ( 2x + x ) / 12 ] + 9

x = ( 3x/12 ) + [ ( 2x + 7x ) / 14 ] + 9

x = ( 3x/12 ) + ( 9x/14 ) + 9

On simplifying the equation , we get

x = ( x/4 ) + ( 9x/14 ) + 9

x = [ ( 14x + 36x ) / 56 ] + 9

x = ( 50x / 56 ) + 9

Subtracting ( 50x/56 ) on both sides of the equation , we get

9 = x - ( 50x/56 )

9 = ( 56x - 50x ) / 56

6x/56 = 9

Multiply by 56 on both sides of the equation , we get

6x = 504

Divide by 6 on both sides of the equation , we get

x = 504/6

x = 84

Therefore , the value of x is 84

Hence , the equation is A = 84

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The smallest of the three consecutive integers be x,(x+1),(x+2) = 12, 13,14  is 12

Let's consider the number will be in form of x

Consecutive Integers:

we number or count items in a sequence, we use consecutive integers. In other words, consecutive integers are integers that follow each other in a sequence with a difference that is fixed.

the three consecutive integers be x,(x+1),(x+2)

As per the problem,

Four times the smallest integer is equal to six more than three times the largest integer

4x=3(x+2) +6

∴4x=3x+6 +6

∴4x−3x=6+6

x= 12

Smallest number = x= 12

middle number   X+1 = 12+1 =13

Highest number = x+2 = 12+2 = 14

the three consecutive integers be x,(x+1),(x+2) = 12, 13,14

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Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

15+(-18)

15-18

NB: Negative plus positive is negative

-3

Therefore, the answer is -3.

Answer:

OPTION A.

Step-by-step explanation:

Put in simple terms

You're asked to Make "h" the subject.

p=0.7(rh + b)

divide through by 0.7

p/0.7 = rh + b

Rearranging

rh + b = p/0.7

rh = p/0.7 – b

divide through by "r"

h = (p/0.7 – b)÷ r.

Option A is your answer.

Notice that they look similar but you gotta see the difference.

The parenthesis covers all that's being divided by r

Using area of a rectangle, it is found that the area of the iPad's screen is of 45.2 square inches.

---------------------

The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

---------------------

The diagonal of a rectangle is the hypotenuse of a right triangle, in which the sides are the length and the width.

---------------------

[tex]x^2 + (\frac{4x}{3})^2 = (9.7)^2[/tex]

[tex]x^2 + \frac{16x^2}{9} = 94.09[/tex]

Multiplying everything by 9:

[tex]9x^2 + 16x^2 = 846.81[/tex]

[tex]25x^2 = 846.81[/tex]

[tex]x^2 = \frac{846.81}{25}[/tex]

[tex]x = \sqrt{\frac{846.81}{25}}[/tex]

[tex]x = 5.82[/tex]

---------------------

[tex]A = lw = 7.76(5.82) = 45.2[/tex]

The area of the iPad's screen is of 45.2 square inches.

A similar problem is given at https://brainly.com/question/10489198

42 feet.

Step-by-step explanation:

I think that it is 42 but don't know

Answer:

180 feet

Step-by-step explanation:

|-60+120| is 180

Answer:

is it 180 feet apart if it is then here is the steps

Step-by-step explanation:

120+60 = 180

please mark as brainiest

Step-by-step explanation:

a triangular number n is the sum of all natural numbers <= n.

t1 = 1

t2 = 1+2 = 3

t3 = 1+2+3 = 6

t4 = 1+2+3+4 = 10

...

so,

tn = tn-1 + n

47.

1×8 + 1 = 9 is a square number.

3×8 + 1 = 25 is a square number

6×8 + 1 = 49 is a square number

10×8 + 1 = 81 is a square number

48.

1/3 = 0 remainder 1

3/3 = 1 remainder 0

6/3 = 2 remainder 0

10/3 = 3 remainder 1

15/3 = 5 remainder 0

21/3 = 7 remainder 0

28/3 = 9 remainder 1

so, there seems to be a pattern 1 0 0 1 0 0 1 0 0 1 ...

49.

1/4 = 0 remainder 1

4/4 = 1 remainder 0

9/4 = 2 remainder 1

16/4 = 4 remainder 0

25/4 = 6 remainder 1

36/4 = 9 remainder 0

49/4 = 12 remainder 1

so, there seems to be a pattern 1 0 1 0 1 0 1 0 1 0 1 ...

50.

polygonal numbers is the real name for this.

the formula for dimensions = 5 is

(3n² − n)/2

for dimensions = 6 it is

2n² - n

so, dimensions=5 (and therefore dividing also by 5) we get the remainders

1/5 = 0 remainder 1

5/5 = 1 remainder 0

12/5 = 2 remainder 2

22/5 = 4 remainder 2

35/5 = 7 remainder 0

51/5 = 10 remainder 1

70/5 = 14 remainder 0

92/5 = 18 remainder 2

117/5 = 23 remainder 2

145/5 = 29 remainder 0

here the pattern is 1 0 2 2 0 1 0 2 2 0 1 0 2 2 0 ...

dimensions=6 (and therefore dividing also by 6) we get the remainders

1/6 = 0 remainder 1

6/6 = 1 remainder 0

15/6 = 2 remainder 3

28/6 = 4 remainder 4

45/6 = 7 remainder 3

66/6 = 11 remainder 0

91/6 = 15 remainder 1

120/6 = 20 remainder 0

153/6 = 25 remainder 3

190/6 = 31 remainder 4

231/6 = 38 remainder 3

276/6 = 46 remainder 0

325/6 = 54 remainder 1

here the pattern is 1 0 3 4 3 0 1 0 3 4 3 0 1 0 3 4 3 0 ...

Answer:

This word phrase into a equation is

4x -8 = 20

Answer:

im sorry about that bro

Step-by-step explanation:

im not smart as well

Answer:

b

Step-by-step explanation:

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Hi there!

[tex]-2^2(-5x+10)=100[/tex]

Solve -2^2:

[tex]-4(-5x+10)=100[/tex]

Divide both sides by -4:

[tex]\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25[/tex]

Subtract 10 from both sides:

[tex]-5x+10-10=-25-10\\-5x=-35[/tex]

Divide both sides by -5:

[tex]\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7[/tex]

Therefore, x = 7.

I hope this helps!

Answer:

B, F

Chow,...!

Answer:

Is 57, I just did it on a paper, hope it helped

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

so when you divide 5/8 you get 0.625 and rounding it of to the nearest whole number it will be 1.

hope this helps

Answer:

1

Step-by-step explanation:

(8/8) = 1                                 (4/8) = half                       (0/8) = 0

                                   (5/8) = a bit more than half, so is closer to 1

5/8≈1

[tex]7^2=7\cdot7=49\\\\8^2=8\cdot8=64\\\\\sqrt{49}<\sqrt{52}<\sqrt{64}\\\\\text{Answer}:52[/tex]

Answer:

Its 52

Step-by-step explanation:

the square root of 52 is 7.2

Answer:

67 + 38(mod5)

= 67 + 38 =105÷5 (mod5)

= 21 reminder 0 ( mod 5)

Since while handling modes or finites the reminder is always considered therefore;

67 + 38 = 0 ( mod 5)

a.-40

b.--280

c.54

d.30

Answer:

34504567556

Step-by-step explanation:

calculator

Answer:

y = -9

x = -8

Step-by-step explanation:

x = 28 + 4y

7y - 6(28 + 4y) = -15

7y - 168 - 24y = - 15 ---> *distribute the -6, not positive 6*

-17y = 153

y = -9

x = 28 + 4(-9)

x = -8

Answer:

B is the answerrrrrrrrrr

Answer:

B

Step-by-step explanation:

The y-intercept is at -3 and the slope which is 2/4 simplified to 1/2x is going in a positive direction

Answer:

25 and 20 milies/gallons

Step-by-step explanation:

Let the fuell efficientcy of the first and the second car be f and s in gallons/miles.

Then the distance traveled by car 1 is 30 f and the car 2 is 25 s.

Since we also know that 1250 is the total distance traveled then

30 f + 25 s = 1250    (1)

Moreover we know that the efficiency is 45 miles/gallon. Hence

f + s  = 45

Multiply by 30 we have

30 f  + 30 s = 1350   (2)

Subtract the (1) equation from (2) we have

5s = 100

s = 20

f + 20 =45

f = 25

So the efficiency of the first car is 25 miles/gallons while the second one is 20 miles/gallons.

[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]