Solve the system of equations and choose the correct ordered pair. 3y=4x+7 and 5y=4x+25​

Answer:

[tex]A(x) = 243[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^3 - 9x[/tex]

[tex]Interval: (12,6)[/tex]

Required

Determine the average rate of change

Average rate is calculated as thus;

[tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]

In this case; b = 12 and a = 6

Calculating f(12)

[tex]f(12) = 12^3 - 9 * 12[/tex]

[tex]f(12) = 1728 - 108[/tex]

[tex]f(12) = 1620[/tex]

Calculating f(6)

[tex]f(6) = 6^3 - 9 * 6[/tex]

[tex]f(6) = 216 - 54[/tex]

[tex]f(6) = 162[/tex]

Substitute 12 for b and 6 for a in [tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]A(x) = \frac{f(12) - f(6)}{12 - 6}[/tex]

Substitute values for f(6) and f(12)

[tex]A(x) = \frac{1620 - 162}{12 - 6}[/tex]

[tex]A(x) = \frac{1458}{ 6}[/tex]

[tex]A(x) = 243[/tex]

Answer:

y = 1

Step-by-step explanation:

The horizontal asymptote is the line, horizontally, where the graph doesn't cross. In this case, the graph approaches y = 1, but never touches 1, so your answer is y = 1.

Answer: 3

Step-by-step explanation:

This problem is looking for the Greatest Common Factor (GCF) of 6 and 15.

Draw a factor tree for each number and see what they have in common.

           Reg         Diet

               6              15

               ∧               ∧

            2   3           3  5

The GCF of 6 and 15 =  3

Each table will contain 2 cans of regular soda and 5 cans of diet soda.

Answer:

segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI  

Step-by-step explanation:

In the picture attached, the triangles are shown.

After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG  and segment EI. More specifically:

Answer:

segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI  

Step-by-step explanation:

In the picture attached, the triangles are shown.

After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG  and segment EI. More specifically:

FG = 1/2*FI

FH = 1/2*FE

HG = 1/2*EI

This answer is right! took the test on FLVS and confirmed it :)

Answer:

D. Yes The Triangles ARE ≅

Step-by-step explanation:

By definition equilateral triangles have all equal angles and sides. Since they share a side that means one of each triangle's sides are congruent. Using the transitive property (if side a ≅ side b and side b ≅ side c, then side a ≅ side c), you can prove that all other sides are congruent or equal in measure, no matter how you pair them.

Answer:

B. 3 1/3 (3/2)

Step-by-step explanation:

10/3 = 3 1/3

3 1/3 / 2/3 is basically equal to 3 1/3 * 3/2 as you have to use keep change flip for dividing fractions.

Answer:

-6634

Step-by-step explanation:

all we have to do is plug in -3 everywhere m is and 5 where n is:

(5(-3))² - (2(5)-3(-3))³

(-15)² - (10+9)³

225 - 6859

-6634

Answer:

I think it's D because the line AC looks like it is splitting the rectangle in half. I think this is right since the angles are congruent. (Angle BAC and Angle ACD)

Answer:

A) U′ (0, 1), V′ (2, 2), W′ (2, 0)

Step-by-step explanation:

The coordinate plane showing Triangle UVW is found online and attached below.

From the graph, the coordinates of the vertices of the triangle are:

U(0,3), V(6,6) and W(6,0)

When you dilate a point (x,y) with a scale factor of 1/3, you obtain: [tex]\left(\dfrac{x}{3}, \dfrac{y}{3}\right)[/tex]

Therefore, applying the dilation [tex](x,y) \rightarrow \left(\dfrac{x}{3}, \dfrac{y}{3}\right)[/tex], we have:

[tex]U(0,3) \rightarrow U'(\frac{0}{3} ,\frac{3}{3})=U'(0 ,1)\\\\V(6,6) \rightarrow V'(\frac{6}{3} ,\frac{6}{3})=V'(2 ,2)\\\\W(6,0) \rightarrow W'(\frac{6}{3} ,\frac{0}{3})=W'(2 ,0)[/tex]

The coordinates of the resulting triangle U′V′W′ are:

U′ (0, 1), V′ (2, 2), W′ (2, 0)

The correct option is A.

Answer:

this is what came with the question in my exam , but i dont

know the answer and i couldn't comment the picture so can someone help?

Answer:

[tex]\frac{12}{253}[/tex]

Step-by-step explanation:

So I would start by multiplying all the numbers on

the denominator first ----->

11 x 14 = 154

~~~

14 x 17 = 238

~~~                                    *BASICALLY: FIND THE COMMON DENOMINATOR*

17 x 20 = 340                        (this will be how u add everything at the end)

~~~

20 x 23 = 460

Now your goal is to get all of these numbers to be the same as the denominator so you can add them together at the end (get a common denominator)

**(remember when multipling the top and the bottom numbers, whatever you do to the bottom you must do to the top)**

   3                   3                    3                   3

--------- (x ?)  +  --------- (x ?)  +  --------- (x ?)  +  ---------  =

 154               238               340               460

***sorry i dont hav time to finnish but i hope this helped at least a little****

Answer:

hewo. its a perpendicular triangle. so

6²+3² will equal to KJ.

36+9=45

45 is = 3√5 because when i put three in square, thats gonna be 3×3×5 = 45.

if u have question u can ask. good luck(:

Answer:

4² + 5² = x²

Step-by-step explanation:

From the picture, the height of the staircase is:

h = 20 ft -15 ft = 5 ft

And the distance between the staircase and the building is 4 ft.

A right triangle is formed, where the distance between the staircase and the building (4) and the height of the staircase (5) are the legs, and the length of the staircase (x) is the hypotenuse. Using Pythagorean theorem:

4² + 5² = x²

Answer:

[tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}=-\infty[/tex]

Step-by-step explanation:

The given limit problem is

[tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}[/tex]

Left hand limit of the function is

[tex]LHL=\lim_{x\to 0^-}\dfrac{-7+x}{x^2}=\lim_{h\to 0}\dfrac{-7+(0-h)}{(0-h)^2}[/tex]

[tex]LHL=\lim_{h\to 0}\dfrac{-7-h}{h^2}[/tex]

Applying limit, we get

[tex]LHL=-\infty[/tex]

Right hand limit of the function is

[tex]RHL=\lim_{x\to 0^+}\dfrac{-7+x}{x^2}=\lim_{h\to 0}\dfrac{-7+(0+h)}{(0+h)^2}[/tex]

[tex]RHL=\lim_{h\to 0}\dfrac{-7+h}{h^2}[/tex]

Applying limit, we get

[tex]RHL=-\infty[/tex]

Since, LHL=RHL, therefore limit of the function exist at x=0.

Hence, [tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}=-\infty[/tex].

Answer:

The answer is: [tex]3x^2-14x+7[/tex]

which agrees with answer B) among your list of possible options.

Step-by-step explanation:

I think you forgot an "x" in the first trinomial, so, let's try that:

[tex](5x^2-5x+1)-(2x^2+9x-6)=\\= 5x^2-5x+1-2x^2-9x+6=\\=3x^2-14x+7[/tex]

Answer:

22%

Step-by-step explanation:

1000-780=220

220/1000=0.22, or 22%

Answer:

24 coins

Step-by-step explanation:

Start:

first pirate --> 1/2 coins

second pirate --> 3/2 coins

Next:

first pirate --> 1/2 + 3/4 = 5/4 coins

second pirate --> 3/2 - 3/4 = 3/4 coins

Next:

first pirate --> 5/4 - 5/8 = 5/8 coins

second pirate --> 3/4 + 5/8 = 11/8 coins

If 5/8 coins is 15, then 1/8 coins is 3, and 8/8 coins is 24 coins.

Answer:

24 coins

Step-by-step explanation:

im to lazy to explain

Answer:

$44.08

Step-by-step explanation:

Answer:

$237.5

Step-by-step explanation:

You will divide 38 by .16 to get the answer.

Answer:

  see below

Step-by-step explanation:

A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.

_____

Comment on discriminant

discriminant > 0, two (2) x-intercepts (first 2 graphs)

discriminant < 0, no (0) x-intercepts (third graph)

A quadratic function with a discriminant of 0 only touches the x-axis, hence it is represented by the fourth graph.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

In this problem, the fourth graph touches the x-axis, hence it is the answer to this question.

More can be learned about quadratic functions at https://brainly.com/question/24737967

Answer: $735.49

Step-by-step explanation:

Given, the price of 10 tolas gold bought from American market = $553

Custom duty charge = 20%

VAT = 13%

Custom duty charge = 20% of $553

= 0.20 x 553  [we divide a perecntage to convet it into decimal]

= $110.6

VAT = 13% of $553

= 0.13 x 553

= $71.89

Selling price = Original price +Custom duty charge  + VAT

=  $553+$110.6+ $71.89

= $735.49

Hence, it should be sold at $735.49 .

Answer:

[tex]Scale\ Factor = \frac{1}{2}[/tex]

Step-by-step explanation:

This question requires an attachment;

I'll answer your question using the attached figure

Since, PQR is similar to P'Q'R'; This implies that

Side PQ is similar to P'Q'

Side PR is similar to P'R'

Side QR is similar to Q'R'

Taking sides PQ and P'Q' as point of reference

PQ = 4; P'Q' = 2 (From the attached)

[tex]Scale\ Factor = \frac{P'Q'}{PQ}[/tex]

[tex]Scale\ Factor = \frac{2}{4}[/tex]

[tex]Scale\ Factor = \frac{1}{2}[/tex]

Answer:

1/2

is your answer i got it right

Step-by-step explanation:

Answer:

SUBSCRIBE TO Yxng Playz

ON you tube

Answer:

0.00324 kilometres

Step-by-step explanation:

Remember:

100 centimeters = 1 meter

1000 meters = 1 kilometer

So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!

Answer:

0.00324 km is the answer

Answer:

m∠4 = 38°

Step-by-step explanation:

The angle that measures 38° and ∠6 are vertical angles, which means that they are congruent, therefore m∠6 = 38°

∠6 and ∠4 are corresponding angles, which means that they are congruent, therefore m∠4 = m∠6 = 38°

Answer:

What are the coordinates of the resulting figure?

✔ (0, 0), (4, 0), (4, –4), (0, –2)

Step-by-step explanation:

its C on Edge

I just took this assignment and got it right

The coordinate of the given figure is, (0, 0), (4, 0), (4, –4), (0, –2).

We have to determine the coordinates of the resulting figure.

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.it can be represented by (x,y)  that is the x-value and y-value.

Therefore the value of x and y at point (0,0) is 0 and 0.

The value of x and y at point (0,2) is 0 and 2.

The value of x and y at point (4,4) is 4 and 4.

The value of x and y at point (4,0) is 4 and 0.

Therefore the coordinate of the given figure is,

(0, 0), (4, 0), (4, –4), (0, –2)

To learn more about the coordinates visit:

https://brainly.com/question/17206319

Answer:

7/32

Step-by-step explanation:

Combinators. Your best friend in this scenario.

Basically, using combinations helps you to find the different ways that you could get heads three times out of eight. To do that, just get 8!/(3!5!) (this is a formula, not the exact numbers, per say, you should check that out), which ends up as 56. So there's 56 different ways that Peter can flip a coin eight times and land on heads three times.

Then, you divide that by the total number of possibilities, which in this case is 2^8, since every coin you flip gives you two different options, heads or tails.

Simplifying the fraction gets you 7/32.

Answer:

7/32

Step-by-step explanation:

the probability of getting exactly 3 heads when a coin is flipped 8 times in a row is: 7/32.

Answer:

$336

Step-by-step explanation:

Find 5% of 320

320(0.05) = 16

320 + 16 = 336

The total will be $336

Answer:

52.33% is the correct answer.

Step-by-step explanation:

Given that:

Area of triangle = 24 sq units

Center of Circle is at (0, 0) and the circle passes through (1.2, 1.6).

To find: The percentage of triangle covered by circle.

Solution: To find the required percentage, we need to find the area of circle.

To find the area of circle, we need the radius of circle.

Radius of circle is the distance between the center of circle and any point that lies on the periphery of the circle.

We can use Distance formula :

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Radius = [tex]\sqrt{(1.2-0)^2+(1.6-0)^2} = \sqrt{1.44+2.56} = \sqrt{4} = 2\ units[/tex]

Now, area of circle is given by the formula:

Area = [tex]\pi r^{2}[/tex]

Area = 3.14 [tex]\times 2^{2}[/tex] = 12.56 sq units

Percentage of Triangle covered:

[tex]\dfrac{Area\ of\ circle}{Area\ of\ triangle}\times 100\\\Rightarrow \dfrac{12.56}{24}\times 100\\\Rightarrow 52.33\%[/tex]

Hence, 52.33% is the correct answer.

Answer:

52%

Step-by-step explanation:

Khan Academy.

Answer:

192

Step-by-step explanation:

y/12-5=11

y/12=11+5

y/12=16

y=16x12

y=192

Answer:

y = 192

Step-by-step explanation:

1st add 5 to both sides 12 to get 7: [tex]\frac{y}{11} =16[/tex]

then multiple both sides by 11 to isolate the y : [tex]y=192[/tex]

(11 times 16 equals 192)

Answer:

0.625

Step-by-step explanation:

divide 5 by 8 to get 0.625

Answer:

0.625

Step-by-step explanation:

Divide the numerator by the denominator

so 5÷8 which equals 0.625.

Answer:

its F, D, E, and C

Plz mark brainliest if this helps

Answer:

C. The domain is x>0.
D. The x-intercept is (1,0)
E. The range is all real numbers.
F. It is decreasing.

Step-by-step explanation:

It is correct!