Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=x-6

g(x)=3x+3 Write the expression


(f+g)(x)=


(f•g)(x)=


(f-g)(-1)=

Answer:

ok take m to be 3

multiply then use the base to get n

Answer:

[tex]x^{4} -6x^{3} +13x^{2} -12x+4[/tex]

Step-by-step explanation:

[tex](x^{2} -3x+2)^{2} -4x+2\\(x^{2} -3x+2)(x^{2} -3x+2) -4x+2\\x^{4} -3x^{3} +2x^{2} -3x^{3} +9x^{2} -6x+2x^{2} -6x+4\\x^{4} -6x^{3} +13x^{2} -12x+4[/tex]

Answer:

45o

Step-by-step explanation:

Angles 1 and 2 form a linear pair and are supplementary. So to find m∠2, subtract m∠1 from 180o. m∠2 = 180o - 135o = 45o.

Answer: 90

Step-by-step explanation:

You can write "the measure of angle 1" as m ∠1. ∠1 and ∠2 are complementary, and m ∠2 = 32. Find m ∠ 1. m ∠1 + 32 = 90 Substitute 32 for m ∠2.

Answer:

When a line is parallel to another line, they have the same slope. So far the equation would be, y=4x+b. To find the value of b, substitute the given point into the equation.

8=4(-1)+b

8=-4+b

b=12

So, the equation of the line is y=4x+12.

:)

y=4x-2

Equation of line in point slope form

[tex]\ \ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\ \ \sf\longmapsto y-8=4(x+1)[/tex]

[tex]\ \ \sf\longmapsto y-8=4x+4[/tex]

[tex]\ \ \sf\longmapsto 4x-y+12=0[/tex]

Answer:

equal parts of this story is the order I am the first thing to say about this

Answer:

y=x/4

Step-by-step explanation:

slope =y2-y1/x2-x1

=1-0/4-0=1/4

Answer: slope intecept form: y = 1/4x

Step-by-step explanation: first we need to find the slope:

Since we have the coordinates (0,0) and (4,1), we can find the slope, which we find 1/4. We can double check this by seeing if the next point is found +4 to the right and up 1.

We have y = 1/4x + b right now, so we need to find the y intercept, in which case is zero because it goes through the origin.

So your final answer is y = 1/4x + 0, or y = 1/4x for short.

Hope this helps!

Answer:

C 10 in

Step-by-step explanation:

side of P is [tex]\sqrt{36}[/tex] = 6

side of Q is [tex]\sqrt{64}[/tex] = 8

for missing side use Pythagorean theorem

[tex]r^{2}[/tex] = [tex]6^{2} + 8^{2}[/tex]

r^{2} = 36 + 64

r^{2} = 100

r = 10 in

Answer:

werghdfb

Step-by-step explanation:

I dont know the answer sorry

Answer:

B

Step-by-step explanation:

Answer:

B) There were N people on the beach at 10:00a.m.

Step-by-step explanation:

As stated, "t" represents the hours past midnight. So the first part states that it is 10 hours after midnight. Since we know its ten hours after midnight, aka 10am, what we don't know is how many people are on the beach. therefore we know the answer is B.

Answer:

220 a week

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{8}[/tex]x - 2

Step-by-step explanation:

The answer to this problem is a simple plug-in of the given values into the slope-intercept formula.

Slope intercept formula: y = mx + b

(m = slope)

(b = y intercept)

If the equation has a slope of m = [tex]\frac{3}{8}[/tex], then the slope-intercept form would be:

y = [tex]\frac{3}{8}[/tex]x

If the y-intercept of an equation is (0 , -2), then the slope intercept form would be:

y = mx - 2

Putting both of these values into an equation would give option A:

y = [tex]\frac{3}{8}[/tex]x - 2

Answer: y-int = 2

Step-by-step explanation:

set x=0

so 18(0) + 5y = 10

solve for y by dividing both sides by 5

5y/5 = 10/5

y=2

Answer:

Than it's a good measure must be a good thing

Answer:

1. .43 m/s or 26.08 meters per min

5. The total displacement is 0

Step-by-step explanation:

Answer:

25 minutes

Step-by-step explanation:

1950/78=25

Answer:

25 minutes

Step-by-step explanation:

Just divide 1,950 by 78.

Answer:

I found this. Will this help??

Step-by-step explanation:

In the given triangle RSQ and ΔRST it is given that

∠RTS ≅ ∠SRQ ≅ 90°

∠RSQ is common in two triangles Δ RSQ and Δ RST.

Therefore two angles are equal so both the triangles are common.

From this property we opposite sides of the corresponding angles will be in the same ratio.

SR/SQ = ST/SR

x/(9 + 16) = 9/x

By cross multiplication on each side of the equation

x² = 25×9 = 225

x = √225 = 15

Therefore measurement of x is 15 units.

The value of x from the given right triangle is 20 units. Therefore, option C is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

From the given right triangle, we have ST = 9, TQ = 16 and RQ = x

From similar triangles,

Δ SRQ ⩭ Δ STR ------(1) {∵ RT 丄 Hypotenuse SQ}

Δ SRQ ⩭ Δ RTQ ------(2) {∵ Δ SRQ, Δ STR and Δ RTQ are similar triangles}

⇒ SR/ST = SQ/SR = RQ/TR

⇒ SR/9 = 25/SR = x/TR

⇒ SR² = 25 × 9

⇒ SR = 5 × 3 = 15

SR² + RQ² = SQ²

RQ² = SQ² - SR²

RQ² = 25² - 15²

RQ = x = √(625 - 225)

= √400

x = 20 units

Therefore, option C is the correct answer.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ7

Simplify:

1st Method:

1(4/7) ÷ 2/3 - 9/14

⇛(7*4)/7 ÷ 2/3 - 9/14

⇛28/7 ÷ 2/3 - 9/14

Take LCM of 3 and 14 is 42.

⇛28/7 ÷ (28-27)/42

⇛28/7 ÷ 1/42

⇛28/7 × 42/1

⇛(28 × 6)/1

⇛168/1

⇛168 Ans.

2nd Method:

1(4/7) ÷ 2/3 - 9/14

⇛(7*4)/7 ÷ 2/3 - 9/14

⇛28/7 ÷ 2/3 - 9/14

⇛4/1 ÷ 2/3 - 9/14

Take LCM of 3 and 14 is 42.

⇛4/1 ÷ (28-27)/42

⇛4/1 ÷ 1/42

⇛4/1 × 42/1

⇛(4 × 42)/(1×1)

⇛164/1

⇛164 Ans.

Hello studentUnion!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Solve the equation-

[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \\ [/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \\ [/tex]

Let's multiply both the sides of the equation by x (x - 3) & (x + 4) which is the LCM of (x - 3), (x + 4) & x. We can't solve it directly without taking the LCM first as the denominators are not equal to each other. Then do cross multiplication. After all these steps, you'll get an equation as..

[tex]x\left(x+4\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ [/tex]

Now, use the distributive property & simplify it.

[tex]x\left(x+4\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ \left(x^{2}+4x\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-\left(x^{2}-3x\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-\left(4x^{2}-12x\right)=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-4x^{2}+12x=\left(x-3\right)\left(x+4\right) \\ x^{2}+20x+12x=\left(x-3\right)\left(x+4\right) \\ x^{2}+32x=\left(x-3\right)\left(x+4\right) \\ x^{2}+32x=x^{2}+x-12 \\ x^{2}+32x-x^{2}=x-12 \\ 32x=x-12 \\ 32x-x=-12 \\ 31x=-12 \\ \boxed{ \boxed{ \bf \: x=-\frac{12}{31} }}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

[tex]\frac{5}{x-3} -\frac{4}{x+4} =\frac{1}{x}[/tex]

[tex]\frac{5(x+4)-4(x-3)}{(x-3)(x+4)} =\frac{1}{x} \\[/tex]

[tex]\frac{5x+20-4x+12}{(x-3)(x+4)} =\frac{1}{x}[/tex]

[tex]\frac{x+32}{(x-3)(x+4)} =\frac{1}{x}[/tex]

Use Cross multiplication

[tex]x(x+32)=(x-3)(x+4)[/tex]

[tex]x^{2} +32x = x^{2} +4x-3x-12[/tex]

[tex]x^{2} +32x=x^{2} +x-12[/tex]

[tex]x^{2} +32x-x^{2} -x=-12[/tex]

[tex]31x = -12[/tex]

[tex]\frac{31x}{31} =\frac{-12}{31} \\x = \frac{-12}{31}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Please find the attached photograph for solution.

So we can conclude that the answer is option B. 3(8x + 7) and 11x + 10

HOPE it helps.

Do comment if you have any query.

Answer:

[tex]y=\frac{1}{2}x-7[/tex], or x-2y=14

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (2, -6) and is parallel to the line x-2y=8

First, we need to find the slope of x-2y=8, since parallel lines have the same slopes

We can convert the equation from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept), in order to help us find the slope of the line

Start by subtracting x from both sides

-2y=-x+8

Divide both sides by -2

y=[tex]\frac{1}{2}x[/tex]-4

The slope of the line x-2y=8 is 1/2

It's also the slope of the line parallel to it.

Since we know the slope of the line, we can plug it into the equation for slope intercept form:

[tex]y=\frac{1}{2}x+b[/tex]

Now we need to find b.

As the equation of the line passes through (2, -6), we can use it to help solve for b

Substitute -6 as y and 2 as x:

[tex]-6=\frac{1}{2}(2)+b[/tex]

Multiply

-6=1+b

Subtract 1 from both sides

-7=b

Substitute -7 as b into the equation:

[tex]y=\frac{1}{2}x-7[/tex]

The equation can be left as that, or you can convert it into standard form if you wish.

In that case, you will need to move 1/2x to the other side:

[tex]-\frac{1}{2}x+y=-7[/tex]

A rule about the coefficients a, b, and c in standard form is that a (coefficient in front of x) CANNOT be negative, and every coefficient must be an integer (a whole number, not a fraction or decimal).

So multiply both sides by -2 in order to clear the fraction, as well as change the sign of a

x-2y=14

Hope this helps!

Answer:

whats the question

Step-by-step explanation:

Answer:

2(y-9)=3

Step-by-step explanation:

Answer:

1. 4.5 x 10^5

2. Reflection

3. 10^16

4. t = 4

5. 230

6. 0

7.  1/2x^2

Step-by-step explanation:

1. There are 4 zereos in the number, and in order to convert something to scientific notation, there has to be a decimal that is less than 10, so you would convert the 45 to 4.5. The number of places to move over from the decimal in 4.5 to the end of the number 450,000 is 5, so it would be 10 to the 5th power (10^5).

2. A reflection is when a shape is flipped across an invisible line. Imagine a vertical line. If you took the triangle on the left and flipped it over the line, you would get the triangle on the right, so it's a reflection.

3. When multiplying two powers of 10 like this, you just add the exponents. So your answer would be 10^(7+9) = 10^16.

4. Start by multiplying both sides by 5.

t + 16 = 20

Then subtract 16 from both sides. And you get...

t = 4

5. 4.4 + 0.2 = 4.6 so then divide that number by 0.02. Remember, when dividing a number by another number that is less than one, the answer will be bigger than the original number. 4.6 / 0.02 = 230

6. Exponents represent the number of times you multiply the original number. So 5^1 is just 5 since you don't multiply it by 5 again. 3^2 = 3 * 3 = 9. 4^0 is 1 because all numbers to the 0th power are 1. Take all of these numbers and add/subtract accordingly. Remember PEMDAS, so the 5*3 is multiplied before it is subtracted.

5 + 9 + 1 = 15

15 - (5*3) = 0

7. The two x^3 on the bottom can be added together to create 2x^3. Then you can cancel out x^2 from both the top and bottom.

x^2/(2x^3) = 1/2x^2

Answer:

f(x)= -3x-1

Step-by-step explanation:

since x= -1 y= -3(-1)-1

=2

Answer:

1.0·E6 or 1.0·10^6

Step-by-step explanation:

1,000,000:  one million.

Note that there are 6 zeros here.

1,000,000 written in exponential form would be 1.0·E6 or 1.0·10^6

Answer:

10^6

Step-by-step explanation:

Answer:

a = 51 , b = - 7

Step-by-step explanation:

Expand and simplify left side , then compare like terms on both sides.

4(9x + 11) + 5(3x + b) ← distribute parenthesis

= 36x + 44 + 15x + 5b ← collect like terms

= 51x + 5b + 44

Compare terms with right side ax + 9

Compare x - terms

51x and ax

For these terms to be equal then

a = 51

Compare constant terms

5b + 44 and 9

For these terms to be equal , then

5b + 44 = 9 ( subtract 44 from both sides )

5b = - 35 ( divide both sides by 5 )

b = - 7

Answer:

i think c

Step-by-step explanation:

Answer:C

Step-by-step explanation:

(y^3)^2

=y^3*2

=y^6

So therefore, the one that contained y^6 is the answer which is C.

By the way, you’re really smart

Answer:

The function to represent the revenue received  by the club is

Step-by-step explanation:

Given:

Total members in the Online shopping Club = 13,500

Membership Charge per month =  $8

Increase in the Membership  charge per month = $1

For each $1 monthly increase in membership fee, the club loses approximately  = 500 members

To Find :

The function to represent the revenue received  by the club when x is the price increase

Solution:

For Each month $1 increased is every month which leads to decrease in the members by 500

For 1 month , one dollar  the decrease  is  

for 2 month , 2 dollar increase will lead to decrease of  = 1000  members

So for x months

The decrease in the members  = = 500x

Also the increase in the membership fee will be 8 + x

Now

MARK BRAINLIEST! THANKS HOPE THIS HELPED

Answer:y=2/5x+5

Step-by-step explanation: