Given f(x) = 5x − 7 and g(x) = −4x + 2, what is (f − g)(x)? x − 9 x − 5 9x − 9 9x − 5

The question is: When we're both stock values the same? Then all you have to do is match both equations and solve for x, like this

Factoring the trinomial you get

Which implies that

Therefore, since x corresponds to the number of months, then the values ​​of the two shares were equal at 3 and at 6 months.

Nishnat can trade box tops only for printer.

Nishant keeps the box tops in 38 folders.

Each folder contains 80 box tops.

Number of box tops nishant has = number of folders x number of box tops in each folder

Number of box tops nishant has = 38 x 80

Number of box tops nishant has = 3040

For printer, he needs 1500 box tops

1500 < 3040

So, he can trade box tops for a printer.

For digital camera, he needs 3500 box tops

3500 > 3040

So, he can not trade box tops for a digital camera.

For tablet computer, he needs 5000 box tops

5000 > 3040

So, he cannot trade box tops for a tablet computer,

Therefore, Nishnat can trade box tops only for printer.

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The value of x in the given equation, 6x + 1.6 = 58, is x = 9.4

From the question, we are to determine the value of x in the given equation.

The given equation is

6x + 1.6 = 58

To determine the value of x in the equation, we will determine the value of the unknown variable.

The unknown variable in the given equation is x.

Thus, we will determine the value of x.

Solving the equation for x

6x + 1.6 = 58

Subtract 1.6 from both sides of the equation

6x + 1.6 - 1.6 = 58 - 1.6

6x = 56.4

Divide both sides of the equation by 6

6x/6 = 56.4/6

x = 9.4

Hence, the equation solved for x gives x = 9.4

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Answer:

(4,-5)

Step-by-step explanation:

Answer:

X = 8/13

Step-by-step explanation:

3x + 8 =4x 4

3x + 8 = 16x

3x + 8 - 8 = 16x - 8

3x - 16x - 8

X = 8/13

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ c=\sqrt{9^2 + 11^2}\implies c=\sqrt{202}\implies {\Large \begin{array}{llll} c\approx 14.2 \end{array}}[/tex]

4π/5 and -16π/5 are Coterminal angles with -6π/5

an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle

Coterminal angles are angles that share the same initial and terminal sides. To find an angle coterminal to another you can do so by simply adding or subtracting any multiple of 360 degrees or 2 pi radians.

The given angle is -6π/5

We need to add 2π for finding coterminal angle

-6π/5+2π

4π/5

We need to subtract 2π for finding coterminal angle

-6π/5-2π

-6π-10π/5

-16π/5

Hence 4π/5 and -16π/5 are Coterminal angles with -6π/5

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ANSWER

$28

EXPLANATION

We have that the entry fee is $10 and for each ride, $6 must be paid.

We want to complete the table by finding the cost of 3 rides.

First, let us represent the cost of going to the fair and taking the ride.

Let the number of rides a person takes by x.

We have that the cost of taking x rides will be the entry fee plus the cost of each ride taken:

Cost = 10 + 6x

So, for taking 3 rides, it will cost:

Cost = 10 + 6(3)

Cost = 10 + 18

Cost = $28

That is the cost of taking 3 rides.

Answer:

D. 1,000 kilowatt-hours

Step-by-step explanation:

Given:

[tex]y=0.14x+3.18[/tex]

If Micah was charged $143.18, then:

[tex]143.18=0.14x+3.18[/tex]

First, subtract 3.18 from both sides:

[tex]140.00=0.14x[/tex]

Then, divide both sides by 0.14:

[tex]1000=x[/tex]

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

SOLUTIONS

Step-by-step explanation:

y = 1/4 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9 ) with equation

x = - 6 →

Option B

Answer:

B

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis and passing through all points with a y- coordinate of [tex]\frac{1}{4}[/tex]

A line perpendicular to it will be a vertical line parallel to the y- axis, with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (- 6, - 9 ) with x- coordinate - 6 , then

x = - 6 ← equation of perpendicular line

Answer:

carol

Step-by-step explanation:

Beth’s hair can be represented as 1 since everyone else is a fraction of her hair  so we just convert the other 2 fractions to make them have the same denominator

4x3/5x3=12/15

2x5/3x5=10/15

10 is less than 12 so carol has the shortest hair

Hopes this helps please mark brainliest

To help visualize, let's say Beth's hair is 15 inches:

Beth = 15"

Abbey = 4/5 * 15" = 12"

Carol =  2/3 * 15" = 10"

Carol has the shortest hair.

Given:

There are seven total digits.

The first 3 are already selected, so there is a choice for 4 digits.

There are 10 possible choices for each of the other 4 digits, so there are a total of 10×10×10×10 choices. Therefore:

Answer: 10000

There are 3 cups of ketchup for every 1/2 cup of mustard, then the rate in cups of ketchup per cup of mustard is:

3÷1/2 = 3*2 = 6 cups of ketchup per cup of mustard

Answer:

Look at this attachment and it may help you

Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

took the test

The inequality to represent the given situation is 2s+12a≤50.

Given that, it costs $2 to download a song and $12 to download an entire album.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Jorge has $50 to spend on downloading music.

Let the number of songs be s and the number of albums be a.

So, inequality to represent the given situation is

2s+12a≤50

Therefore, the inequality to represent the given situation is 2s+12a≤50.

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Answer: 10.8 seconds

Step-by-step explanation:

[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]

Answer:

32 us cups

Step-by-step explanation:

yes yes. ik but I just know this. I ahd the same assignment

The associative property of addition states that when adding numbers, the order can be reversed.

The associative property of addition says that changing the grouping of the addends does not change the sum.

For example -

Therefore, the given option (c) is correct.

The distance from the chin to the forehead is 1.5 times the distance between the ears.

The average person's chin-to-forehead distance is 9 inches, and the distance between human ears is 6 inches. You are asked to compare the distance from a person's chin to their forehead to the distance between their ears.

Calculation:-

We can express the given information as:9/6

9/6 = 1.5.

Average speed is calculated by dividing the total distance something has traveled by the total time it took to travel that distance. Velocity is how fast something is going at a given moment.

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Answer:

x = 23

y = 119

Step-by-step explanation:

Line m is parallel to line n and the angle given as 61 and the angle that is represented with 4x - 31 are alternate angles and have equal measurement.

We can write the following equation based on this information:

4x - 31 = 61 add 31 to both sides

4x = 92 divide both sides by 4

x = 23

now onto y,

the angle represented with y and the angle that is represented with 4x - 31 are supplementary and their measures add up to 180:

4x - 31 + y = 180 replace x with 23

4*23 - 31 + y = 180

92 - 31 + y = 180 subtract like terms

61 + y = 180 subtract 61 from both sides

y = 119

The graphs of the absolute value function y = 2|x + 2| - 6 and the horizontal line y = -2 are given on the image at the end of the answer.

The definition of the absolute value function is given as follows:

y = |x - h| + k.

In which the coordinates of the vertex are (h,k), representing the turning point of the graph of the absolute value function, the point in which the function makes the "V".

In this problem, the definition of the function is:

y = 2|x + 2| - 6.

Hence the coordinates of the vertex are:

(-2, -6).

The multiplication by 2 represents a vertical stretch but is not related to the vertex of the function.

y = -2 is a horizontal line, and the graph with these two functions is given by the image at the end of the answer.

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The money earned by Jerry at the recycling center is $11.35.

According to the question,

We have the following information:

For each pound of paper recycled they offered $0.03, for each pound of aluminum they offered $1.32 and for each pound of plastic they offered $0.07. Jerry took in 10 pounds of paper, 8 pounds of aluminum and 7 pounds of plastic.

Now, we have the following expression when multiplied with the cost of each pound:

10*0.03+8*1.32+7*0.07

Now, we will first use multiplication and then we will use addition:

0.3+10.56+0.49

$11.35

Hence, the money earned by Jerry at the recycling center is $11.35.

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We will have the following:

Since there are 8 slices that are not red, the probability will be given by:

So, the probability will be of 4/5, that is 80%.

For x = 200, the equation 3y² - 24y - 410 is satisfied and there two possible solution sets A(66.68, 9.447) and B(1.31, - 1.447) for the given system of equations.

      f(x) = ax² + bx + c

Given is are the following equations -

x - 6y=10

3y² = 4x + 1

It is given that -

3y² - 24y - 41  ...Eq[1]

3y² = 4x + 1

y² = (4/3)x + (1/3)

So, we can write -

3{(4/3)x + (1/3)} - 24 × √{(4/3)x + (1/3)} - 410

Refer to the graph [1] attached. We can see that, for x = 200, the equation is fulfilled.

Now, refer to the graph [2] attached. It shows there two possible solution sets.

A(66.68, 9.447)

B(1.31, - 1.447)

Therefore, for x = 200, the equation 3y² - 24y - 410 is satisfied and there two possible solution sets A(66.68, 9.447) and B(1.31, - 1.447) for the given system of equations.

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The money left for Anna is $180 which was earned by babysitting for 15 months.

For the given question;

Monthly saving of Anna is $40.

Total time of babysitting is 1 and 1/4 years.

Total time = 5/4 years = 15 months.

Total money saved = 15 × $40 = $600.

70% of the money is spent

Thus, 30 % money is left.

Find 30% of $600

= 30 × 600/ 100

= $180.

Thus, the money left for Anna is $180 which was earned by babysitting for 15 months.

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We will determine the value of theta as follows:

So, the measurement of the angle is approximately 61.6°.

Answer:

112

Step-by-step explanation:

8*14=112

3.14*4²=50.24

50.24/2=25.12

112-25.12+25.12=112

Blank 1: [tex]\frac{k}{m}[/tex]

Blank 2: [tex]-\frac{k}{n}[/tex]

Blank 3: [tex]\frac{k}{m}=\frac{n}{k}[/tex]

Blank 4: [tex]\frac{KL}{KM}=\frac{KN}{KL}[/tex]

Blank 5: SAS similarity theorem

Blank 6-9: The options are needed

Let the original price be p.

Then

p + (10% of p) = 548.90

1.1p = 548.90

p = 548.9 / 1.1 = $499.00

Hence the refrigerator was $499.00 originally