Given the function f(x) = 3x + 2, and g(x) = -x + 10, find the value of x for which f(x) = g(x).

Answer:

41

Step-by-step explanation:

41:2= 20 with remainder of 1

41:4=10 r:1

41:5=8 r:1

41:8=5 r:1

41:10=4 r:1

c and e are expressions.

b is an equation.

a and d are inequalities.

Expressions are the only ones WITHOUT an 'equals', 'greater', or 'less than'.

( = , > ,. < )

never true is always 180

The deposits and withdrawals that require manager approval are:

-$1,600 (since it changes the balance by more than $1,000)

-$2,505 (since it changes the balance by more than $1,000)

What are the deposits and withdrawals?

A deposit is a money put into a bank account for safekeeping until you need it. A withdrawal is a money that's taken out of your account.

The deposits and withdrawals that require manager approval are:

-$1,600 (since it changes the balance by more than $1,000)

-$2,505 (since it changes the balance by more than $1,000)

The deposits and withdrawals that do not require manager approval are:

-$875 (since it changes the balance by less than $1,000)

$1,304 (since it changes the balance by less than $1,000)

$1,001 (since it changes the balance by less than $1,000)

$451 (since it changes the balance by less than $1,000)

Therefore, The deposits and withdrawals that require manager approval are:

-$1,600 (since it changes the balance by more than $1,000)

-$2,505 (since it changes the balance by more than $1,000)

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Answer: 16 acres

Step-by-step explanation: we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

Step-by-step explanation:

Answer:

Nice Shoes..

Step-by-step explanation:

The answer is 16 to the 4th power for #1     89c for #2         and 29f for the third

Answer:

75 * 1000 = 75000

75000 gram

Step-by-step explanation:

1 kg = 1000g, so the answer is simple (kg * 1000 = g)

Answer:

Step-by-step explanation:

y + 2 = 12(x - 3)

y + 2 = 12x - 36

y =12x - 38

The required equation of the line passing through (3, -2) and parallel to the line represented by y = 12x - 2 is y = 12x - 38.

Slope is usually denoted by m.

Slope is defined as the change in the value of the y coordinates with respect to the change in the value of x coordinates.

Equation of a line in slope intercept form is y = mx + c where m is the slope and c is the y-intercept.

y-intercept is the y coordinate when x coordinate equals zero.

It is given that the required line is parallel to y = 12x - 2.

Comparing with the slope intercept form of the line, the slope of  y = 12x - 2 is 12.

Slope of two parallel lines are equal.

So the slope of the required line = 12

It is also given that required line passes through the point (x, y) = (3, -2).

Substituting these values,

-2 = (12 × 3) + c

-2 = 36 + c

c = -2 - 36

c = -38

So the required equation is found by substituting m = 12 and c = -38.

y = 12x - 38

Hence the equation of the line passing through (3, -2) and parallel to the line y = 12x - 2 is y = 12x - 38.

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Answer:

70 or 80

Step-by-step explanation:

Answer:

It would be -1/2

Step-by-step explanation:

-2--3/0-2=-1/2

Answer:

use math-way it will really helps

Answer:

I believe its 15 because when substituting the number 15 means that when working the question out, both sides equal to the same number if x is equal to 1 for example

Answer:

Step-by-step explanation:

5g + 12 = 2g + 18

3g + 12 = 18

3g = 6

g = 2

Answer:

g = 2

Step-by-step explanation:

Given

5g + 12 = 2g + 18 ( subtract 2g from both sides )

3g + 12 = 18 ( subtract 12 from both sides )

3g = 6 ( divide both sides by 3 )

g = 2

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[tex]f(x) = 5x - 4[/tex]

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[tex]f(2a) = 5(2a) - 4[/tex]

[tex]f(2a) = 10a - 4[/tex]

[tex]156 = 10a - 4[/tex]

[tex]10a - 4 = 156[/tex]

Add sides 4

[tex]10a - 4 + 4 = 156 + 4[/tex]

[tex]10a = 160[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]

[tex]a = 16[/tex]

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Answer:

a). Nadia made a total of $825 last week in commission sales

b). The total amount Nadia in commission in 2011=$42,900

Step-by-step explanation: Step 1

Express the amount in commission she earns from her sales as follows;

C=S×r

where;

C=commission earned

S=total value of stock sales

r=commission rate

In our case;

C=unknown

S=$7,500

r=11%=11/100=0.11

replacing;

C=11% of 7,500

C=(11/100)×7,500

C=0.11×7,500=825

Nadia made a total of $825 last week in commission sales

b). To express the total amount she made in 2011, we derive the formula below;

Total amount (2011)=Average weekly commission×number of weeks in 2011

where;

Average weekly commission=$825

number of weeks in 2011=52

replacing;

Total amount (2011)=(825×52)=42,900

The total amount Nadia in commission in 2011=$42,900

Answer:

jjhjjh

Step-by-step explanation:

nn

Answer:

A. 4 7/24

Step-by-step explanation:

subtract 15 - 11 which equals 4

then do 5/15 - 1/8 =7/24

Answer:

x = 28 (So it takes 28 hours for the temperature to reach 0°C.)

y = -70 (So the temperature when the experiment begins is −70°C.)

Step-by-step explanation:

To find the the x value, you remove the y value or replace it with 0.

0 = 5/2x - 70

Next you move the variable.

70 (2/5) = x           (multiply 70 by 2 to get 140 and divide that by 5)

And now you simplify to get:

28

To find the y value, you remove the x value or replace it with 0.

y =  0 - 70

And now you simplify to get:

-70

x = 28

y = -70

x = 28 (So it takes 28 hours for the temperature to reach 0°C.)

y = -70 (So the temperature when the experiment begins is −70°C.)

Answer:b = -0.0013a + 211

Step-by-step explanation:

Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .

As the question specifies to use a for altitude and b for boiling point, change the variables equation to

b is the boiling point.

m is the slope.

a is the altitude.

c is the y-intercept.

To find the slope, we can use the equation  except x is a and y is b.

The sets of information given are:

8500 ​ft, the liquid boils at 199.95°  (This can be info set 1)

4300 ​ft, the liquid boils at 205.41°  (This can be info set 2)

Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.

m = -0.0013

Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.

b = ma + c

199.95 = (-0.0013)(8500) + c  <= Simplify

199.95 = -11.05 + c

199.95 + 11.05 = -11.05 + 11.05 + c  <=add 11.05 on both sides to isolate c

c = 211  <= y-intercept

Put the y-intercept and slope into the equation of a line:

b = ma + c

b = -0.0013a + 211 <= This is the equation for the problem.

Answer:

okaaaay. this is 10 units to the y axis...

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

1756.5

Step-by-step explanation:

you just move the dot 2 to the right when it is positive. When it is negative you move the dot to left.

Answer:

1756.5

Step-by-step explanation:

10^2 will equal 100, so you multiply 17.565 by 100. Move the numbers to the left twice and you get 1756.5

Answer:

M<1 = 106

M<2 = 74

M<3 = 106

M<4 = 74

M<5 = 106

M<6 = 74

M<7 = 106

M<8 = 74

Step-by-step explanation:

Answer:

x =30

Step-by-step explanation:

4x + 40 = 6x-20 (set them equals)

40= 6x-  20-4x

40+20=2x

2x=60

divide by 2

x=30

Answer:

the answer is x=7

Step-by-step explanation:

Answer:

prove it by S.S.S axiom bro

Step-by-step explanation:

statement                                reason

1.in triangle ADB and ADC

a. AB=AC                                    a.given

b.BD=CD                                     b. radii of same circle

c. AD=AD                                      c. common side

2. ∵triangle ADB is congurent to 2. by S.S.S axiom

  ADC

Answer:

AD cuts BC at I => I is the midpoint of BC => BI = CI

ΔAIB and ΔAIC have:

AB = AC

BI = CI

m∠ABC = m∠ACB ( because ΔABC is a  isosceles triangle)

=> ΔAIB ≅ ΔAIC (sas)

=> m∠BAD = m∠CAD

ΔADB and ΔADC have:

m∠BAD = m∠CAD

AB = AC

AD is the common edge

=> ΔADB ≅ ΔADC (sas)

Step-by-step explanation:

Answer:

5 pencils

Step-by-step explanation:

4.75 / 0.89 = 5.33

Since you can't buy 1/3 of a pencil, Shelila can only buy up to 5 pencils

Answer:

8,000 is 1,000 times bigger than 8

Answer:

1,000 times bigger because you have to add the 0's in it.

Step-by-step explanation:

Answer:

The surrounding air

Step-by-step explanation:

Answer:

the surrounding air

Step-by-step explanation: