A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

Answer: y = x/3

Have a nice day!

Answer:

[tex]V=400\ mm^3[/tex]

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

[tex]V=BL[/tex]

where

B is the area of the triangular base

L is the length of the triangular prism (also is called the height of the prism) is the perpendicular distance between the triangular bases

we have

[tex]B=25\ mm^2[/tex]

[tex]L=16\ mm[/tex]

substitute

[tex]V=25(16)[/tex]

[tex]V=400\ mm^3[/tex]

Answer:

The volume of the triangular prism is [tex]400mm^3[/tex]

Explanation :

Area of the triangle = 25 sqmm

Height of the triangle prism = 16mm

Suppose height of the prism is h and breadth is b and length is l

Area= A

Since the formula of volume of prism is

Volume= Area ×height of the prism

= A × h

Substituting the values

= 25×16

=400mm3

The volume of the triangular prism is [tex]400mm^3[/tex]

Answer:

Define the two numbers as

x

x+7

2(x+7) + 1 = 5x

2x + 14 + 1 = 5x

15 = 3x

3x = 15

x = 5

x+7 = 12

One number is 7 less than another. 5 is 7 less than 12.

Twice the second number = 2*12 = 24

Is 24, 1 less than 5 times the first number.

5*5 = 25

25-24 = 1

The smaller of the two numbers is 5.

Answer:

(x+1)

Step-by-step explanation:

(x^2-x-2)/(x-2)=(x+1)

Because (x-2)(x+1)=x^2-2x+x-2=x^2-x-2.

Answer:

x + 1

Step-by-step explanation:

(x² − x − 2) / (x − 2)

Factor the numerator.  Using the AC method:

ac = (1)(-2) = -2

Factors of -2 that add up to -1 are -2 and 1

Divide by a and reduce: -2/1 and 1/1

The factors are (x − 2) and (x + 1)

(x − 2) (x + 1) / (x − 2)

Divide:

x + 1

Answer:

6 kitchen remodels

The drawing will help

Answer:

2.25 seconds

87 feet

[6, 87]

Step-by-step explanation:

The height of a projectile is:

h(t) = -16t² + vt + s

where v is the initial vertical velocity and s is the initial height.

Here, v = 72 and s = 6.

h(t) = -16t² + 72t + 6

This is a downwards parabola.  The maximum is at the vertex.

t = -b / (2a)

t = -72 / (2×-16)

t = 2.25

h(2.25) = 87

It takes 2.25 seconds to reach the maximum height of 87 feet.

The range is from the lowest height (6 feet) to the maximum height (87 feet).  In interval notation:

[6, 87]

Final answer:

This response explains the time to reach maximum height, calculates the maximum height, and determines the range function for the projectile motion of the T-shirt launched by a slingshot during halftime at a football game.

Explanation:

Maximum Height Calculation:

Time to Reach Maximum Height: 2.25 seconds

Maximum Height: 81 feet

Range Function: The range function (horizontal distance) can be determined using the formula: R = V₀t, where V₀ is the initial velocity and t is the time taken to reach the maximum height.

Answer:

left denominator is 15 the right is 10 hope this helps and add me on ig thick_but_lit

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The law of detachment says that, given to facts A and B:

if A ---> B (this is, if that fact that A happens make that B happens) and A is true (This is, A happens), so B will happen.

In this case let A be "Jillian gets a rise" and B "Jillian buys a car". A ---> B  means what the statement says "If Jillian gets a raise, then she will buy a new car". Here, the law of Detachment implies that if A happens, i.e., if Jillian gets a rise she would surely buy a new car. As she got her rise (the last sentence on the statement) so she WILL buy a new car.

You have to keep in mind that we can not make inference in the contrary sense. If you observe that Jillian bought a new car you can not say that she got a rise. The inverse sense does not work here, it is only in one direction, from A to B.

Answer:

Below

Step-by-step explanation:

Answer:

a. $18.36 for 3 pizzas  :   k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 2

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒  [tex]x \propto y \implies  k = \frac{x}{y}[/tex]

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here,[tex]k =  \frac{18.36}{3} = 6.12[/tex]

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here,[tex]k =  \frac{4.17}{3} = 1.39[/tex]

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here,[tex]k =  \frac{16.48}{4} = 4.12[/tex]

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,[tex]k =  \frac{24}{2} = 12[/tex]

So, the proportionality constant is 12

Answer:

(x-7) (x-4)

Step-by-step explanation:

3x²-33x+84 can be factored into

3 (x-7) (x-4)

Answer:

x = - 4/3

Step-by-step explanation:

Distribute:

3x - 12 = 12x.

-12 = 9x

x= - 12/9 or - 4/3

3(x-4)=12x​

multiply the bracket by 3

(3)(x)=3x

(3)9-4)=-12

3x-12=12x

move 3x to the other side

sign changes from +3x to -3x

3x-3x-12=12x-3x

-12=9x

divide both sides by 9 to get x by itself

-12/9=9x/9

-12/9=x

reduce -12/9 by dividing by 3

-12/3=-4

9/3=3

answer:

-4/3 or - 1 1/3

Answer:D) No, because for some x's there are more than one y's.

Step-by-step explanation:The definition of a function states that for every x there is only one y. If you look at the data table for an x- value of 8 there are 2

different y-values 7 and 9. Therefore the correct answer is No, because for some x's there are more than one y's.

Answer:

the answer is D

Step-by-step explanation:

Answer: 30/250 and 45/375 would be two equivalent fractions.

Answer:

Answer:

The value of  (f-g)(x)=4^x-5x-14

Step-by-step explanation:

Given : If f(x) = 4^x-8 and g(x)=5x+6

To find : The value of  (f - g)(x)?

Solution :

f(x) = 4^x-8

g(x)=5x+6

We can write, (f-g)(x)=f(x)-g(x)

Substitute the value of f(x) and g(x)

(f-g)(x)=4^x-8-(5x+6)

(f-g)(x)=4^x-8-5x-6

(f-g)(x)=4^x-5x-14

Therefore, The value of  (f-g)(x)=4^x-5x-14

Plz mark brainliest

Answer:

When x=5, y=22. And when x=3, y=6.

Step-by-step explanation:

y=x^2-3

8x-y=18

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

y=8x-18

x^2-3=8x-18

x^2-8x-3=-18

x^2-8x-3-(-18)=0

x^2-8x-3+18=0

x^2-8x+15=0

factor out the trinomial,

(x-5)(x-3)=0,

zero property

x-5=0, x-3=0,

x=0+5=5

x=0+3=3

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

y=5^2-3=25-3=22

y=3^2-3=9-3=6

3 batches can be made with 5 tablespoons of drink mix and 36 ounces of water

We have been given that a sports drink recipe calls for 5/3 tablespoons of powered drink mix for every 12 ounces of water.

We need to find out how many batches can be made with 5 tablespoons of drink mix and 36 ounces of water.

So, from the given information we see that to make 1 batch of sports drink we need 5/3 tablespoons of powdered drink mix for every 12 ounces of water.

So, we have 36 ounces of water. But we know that for 1 batch of sports drink we need to 12 ounces. So with 36 ounces of water we can make

[tex]=\frac{36}{12}[/tex]

= 3 batches

Therefore, we can make 3 batches of sports drink from 5 tablespoons of powdered drink mix and 36 ounces of water.

We can make 3 batches of the sports drink with 5 tablespoons of mix and 36 ounces of water, based on the recipe's ratio.

The subject of this question is mathematics, specifically a type of word problem involving ratios. In this case, the ratio is between the amount of powdered drink mix and the amount of water. The recipe stipulates a ratio of 5/3 tablespoons of mix for every 12 ounces of water. To find how many batches we can make with 5 tablespoons of mix and 36 ounces of water, we need to divide the quantities we have by the quantities needed for a single batch.

First, let's find how many batches we can make with the drink mix we have:

Then, we do the same with the water:

So, based on the quantities of both the mix and water, we can make 3 batches of the drink.

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Answer:

25x+300=y

Step-by-step explanation:

The equation represents Tonya's profit, y, for working x for hours is

y = 25x - 300

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Tonya's profit will depend on how many hours she works and how much she earns from tutoring.

Let's assume she works x hours, then she earns 25x dollars from tutoring.

However, she also has to pay the monthly rent of $300 regardless of how many hours she works.

Therefore, her profit y can be calculated as follows:

y = 25x - 300

This equation takes into account both her revenue (25x) and her expenses (the fixed cost of $300 for rent), and gives us her profit as the difference between the two.

Thus,

The equation represents Tonya's profit, y, for working x for hours is

y = 25x - 300

Learn more about expressions here:

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EUF = {2,4,6,8}

Step-by-step explanation:

Given

D = {xlx is a whole number]

E = {xix is a perfect square between 1 and 9)

F = {xlx is an even number greater than or equal to 2 and less than 9)

We have to find EUF

Writing E and F in set notation

E = {xix is a perfect square between 1 and 9)

There is only one perfect square between 2 and 9

So,

E = {4}

And

F = {2,4,6,8}

Now,

EUF = {4} U {2,4,6,8}

= {2,4,6,8}

Hence,

EUF = {2,4,6,8}

Keywords: Sets, union

Learn more about sets at:

#LearnwithBrainly

The union of the sets E and F results in the set { 2, 4, 6, 8 } option C, which includes all elements that are either in E or F or both.

To solve for E U F from the given sets, let's first define each set as you have described:

D = {x | x is a whole number less than 10} = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

E = {x | x is a perfect square between 1 and 9} = { 4 }

F = {x | x is an even number greater than or equal to 2 and less than 9} = {2, 4, 6, 8}

The union of two sets, E U F, includes all elements that are in either set E or set F or both. Therefore, E U F would be:

So, E U F = { 2, 4, 6, 8 } which is option C.

Complete question :

D = {xlx is a whole number}

E = {xlx is a perfect square between 1 and 9)

F = {xlx is an even number greater than or equal to 2 and less than 9}

Which of the following is EUF?

A.  {2, 3, 4, 5, 6, 7, 8}

B. (3, 4, 5, 6, 7, 8)

C. (2, 4, 6, 8)

D. {4}

Answer:

Sqrt50

Step-by-step explanation:

In order to solve for the diagonal, we use the Pythagorean Theorem.

5^2+5^2=c^2

25+25=c^2

50=c^2

sqrt50=c

Answer: it is already in standard form

Step-by-step explanation: for example

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.

A x+/-By=c and in this case it is 2x-8y=16

The equation 2x-8y=16 is already in the standard form of a linear equation, which is represented as Ax + By = C, where A is 2, B is -8, and C is 16.

In Mathematics, the equation you provided, 2x-8y=16, is already in the standard form. The standard form of a linear equation is usually represented as Ax + By = C, where A, B, and C are integers, and A and B are not both zero. In your equation, 'A' corresponds to 2 (the coefficient of x), 'B' corresponds to -8 (the coefficient of y), and 'C' is equal to 16.

The equation describes a line on a two-dimensional space or plane, and it is used to define the relationship between two variables, x and y. The standard form allows you to quickly identify the x-intercept and y-intercept, which are used to graph the line.

The equation you provided does not need any further adjustments or transformations since it is already in its standard form.

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Answer:

[tex]x[/tex] ≥ [tex]\frac{7}{6}[/tex]

Step-by-step explanation:

The expression we have is:

[tex]1.5x+3.75[/tex] ≥ [tex]5.5[/tex]

To find the solution of x, we need to clear the inequality until we leave the x on one side.

For this, the first step is to move 3.77 to the left with a minus sign:

[tex]1.5x[/tex]  ≥ [tex]5.5-3.75[/tex]

solving the subtraction on the right side

[tex]1.5x[/tex]  ≥  [tex]1.75[/tex]

and now we move the 1.5 that multiplies to the x, to the right dividing:

[tex]x[/tex] ≥  [tex]1.75/1.5[/tex]

solving the division:  

[tex]x[/tex] ≥ [tex]1.666...[/tex]

since the value 1.666667

is not an exact number, is better to leave it as a fraction:

[tex]1.666...=\frac{7}{6}[/tex]

so the answer is:

[tex]x[/tex] ≥ [tex]\frac{7}{6}[/tex]

so any value equal or greater 7/6 is a solution of the inequality

The percent error in the meteorologist's forecast for Monday is 5.26316 %

Given that Monday's high temperature would be 76°F

On Monday,  the temperature reached 80°F

To find:  percent error in the meteorologist's forecast for Monday

Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%

The percent error is given as:

[tex]\text {percent error }=\frac{\text {observed - standard}}{\text { standard value}} \times 100[/tex]

Here standard value = 76 and observed value on monday = 80

[tex]\text { percent error }=\frac{80-76}{76} \times 100[/tex]

[tex]\text { percent error }=\frac{4}{76} \times 100=5.26316 \%[/tex]

Thus percent error in the meteorologist's forecast for Monday is 5.26316 %

Answer:

5%

Step-by-step explanation:

i got it right

Answer:

3.8m+4.25n=23250

Step-by-step explanation:

To express the total sales of gasoline and diesel fuel worth $23,250, the equation is: 3.80m + 4.25n = 23,250, where m is the gallons of gasoline sold and n is the gallons of diesel sold.

The question asks for an equation that represents the total sales of fuel worth $23,250, where m gallons of gasoline are sold at $3.80 per gallon and n gallons of diesel fuel are sold at $4.25 per gallon. To find this equation, we can multiply the number of gallons of each fuel type by its respective price per gallon and set the sum equal to the total sales value.

Therefore, the equation is: 3.80m + 4.25n = 23,250.

This equation signifies that the revenue generated from selling m gallons of gasoline at $3.80 per gallon plus the revenue from selling n gallons of diesel at $4.25 per gallon equals $23,250.

Option a. 11 is the right answer

Step-by-step explanation:

To find the value of a function on particular input, the value is put in the function in place of variable

Given function is:

[tex]f(x) = \left \{ {{3x-7\ \ \ x>0} \atop {2x+3\ \ \  x<0}} \right.[/tex]

As we have to find f(6) and x>0 the part of function 3x-7 will be used

so,

[tex]f(6) = 3(6)-7\\= 18-7\\=11[/tex]

Hence,

Option a. 11 is the right answer

Keywords: Functions, Variables

Learn more about functions at:

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the answer would be 750

Answer:

A) x=3

Step-by-step explanation:

x+2y=11

x+2(4)=11

x+8=11

x=11-8

x=3

Answer:

12) x = 10 or x = -10

13) b = 3 or b = -3.

14) r = 6 or r = -2

15)  n = 0 or -2

Step-by-step explanation:

12) Given, 4|x| + 3 = 43

Now, for x ≥ 0, |x| = x and for x < 0, |x| = -x

So, for x ≥ 0, the equation becomes 4x + 3 = 43

⇒ 4x = 40

⇒ x = 10

Again, for x < 0, we have - 4x + 3 = 43

⇒ - 4x = 40

⇒ x = - 10

Therefore, the solution of the equation is x = 10 or x = -10. (Answer)

13) Given, 3|b| + 5 = 14

Now, for b ≥ 0, |b| = b and for b < 0, |b| = -b

So, for b ≥ 0, the equation becomes 3b + 5 = 14

⇒ 3b = 9

⇒ b = 3

Again, for b < 0, we have - 3b + 5 = 14

⇒ - 3b = 9

⇒ b = - 3

Therefore, the solution of the equation is b = 3 or b = -3. (Answer)

14) 9|2r - 4| + 1 = 73

Now, for 2r - 4 ≥0 i.e. r ≥ 2, then

9(2r - 4) + 1 = 73

⇒ 2r - 4 = 8

⇒ 2r = 12

⇒ r = 6

Again, for (2r - 4) < 0 i.e. r < 2, then

9(4 - 2r) + 1 = 73

⇒ 4 - 2r = 8

⇒ 2r = - 4

⇒ r = -2

Hence, the solutions are r = 6 and r = -2  (Answer)

15) For, 10n + 10 ≥ 0 i.e. n ≥ -1, then

1 + 4(10n + 10) = 41

⇒ 10n + 10 =10

⇒ 10n = 0

⇒ n = 0

Again, for 10n + 10 < 0 i.e. n < -1, then

1 - 4(10n + 10) = 41

⇒ 10n + 10 = - 10

⇒ 10n = -20

⇒ n = -2  

Hence, the solution is n = 0 or -2 (Answer)

Symmetry is when an image or being is halved into two, and both sides are the exact same to each other.

Final answer:

Symmetry in mathematics refers to an object's balanced or invariant properties under transformations like reflection, rotation, or translation. It is significant in physics for understanding conservation laws and is observed in various aspects of nature and art, providing balance and stability.

Explanation:

Symmetry is a fundamental concept in mathematics, physics, and the natural world. It implies that an object or system possesses a form of invariance or balance under certain transformations, such as reflection, rotation, or translation. In mathematical terms, symmetry refers to a situation where a figure can be manipulated in various ways, such as being flipped over a mirror plane (reflective symmetry), rotated around a central point (rotational symmetry), or shifted along a direction without changing its appearance (translational symmetry).

An example of symmetry in nature is bilateral symmetry, where an object can be divided into two symmetrical parts across a unique plane. This type of symmetry is easily observed in some living organisms, like humans, who have a left and right side that are mirror images of each other. In the realm of physics, symmetry plays an impactful role, especially in the study of sub-atomic particles through the use of particle accelerators like the Large Hadron Collider at CERN. Emmy Noether's work highlighted the deep connection between symmetries and conservation laws, illustrating the significance of symmetry in understanding the foundational principles of our universe.

In art, symmetry is associated with balance and harmony. Symmetrical balance is visually stable, often featuring compositions that are identical, or nearly so, on either side of a central axis. Optical devices, such as mirrors and lenses, also exploit principles of symmetry, with their function heavily dependent on a specific optical axis to guide light appropriately.

Answer:

ok so think about it.

shes going to her grandmas- and she travels 60 miles for every hpur she drives.

time(hours):

1 shes driving 60 miles PER HOUR- so in one hour she traveled 60. (60 is answer)

2 shes driving 60 mies per hour- so two hours would be 120. (120 is answer)

3 shes driving 60 mies per hour- so 3 hours would be 180 (this means 180 is answer)

4 shes driving 60 mies per hour- so 4 hours would be 240 (and so 240 is answer)

5 shes driving 60 mies per hour- so 5 hours would be 300 (300=the answer)

Step-by-step explanation:

so you kinda just wannamu.Mutiply the distance per hour by the hours... so like- 60 mph*1=60 60 mph*2=120 etc.

the answers are

1:60

2:120

3:180

4:240

4:300

Answer:

Givens:

We have to ding each distance at those given times to complete the table. We can solve it by just replacing values into the constant movement definition, which is [tex]d=st[/tex]

For [tex]t=1[/tex]:

[tex]d=60\frac{mi}{hr} (1hr)[/tex]

[tex]d=60mi[/tex]

For [tex]t=2[/tex]:

[tex]d=60\frac{mi}{hr} (2hr)[/tex]

[tex]d=120mi[/tex]

For [tex]t=3[/tex]:

[tex]d=60\frac{mi}{hr} (3hr)[/tex]

[tex]d=180mi[/tex]

For [tex]t=4[/tex]:

[tex]d=60\frac{mi}{hr} (4hr)[/tex]

[tex]d=240mi[/tex]

For [tex]t=5[/tex]:

[tex]d=60\frac{mi}{hr} (5hr)[/tex]

[tex]d=300mi[/tex]

Therefore, the complete table would be:

t      d

1     60

2    120

3    180

4    240

5    300

We conclude that the table represent a function, because it's defined the relation between two variables, one independent (time), one dependent (distance). But, the most important characteristic is that for every t-values, there's only one d-value, and that is the definition of a function.