{$20+$25+$22+$30+$15+$18+$20+$17+$30+$27+$15

9514 1404 393

Answer:

  x = 4  or  x = 5

Step-by-step explanation:

Maybe you want to solve ...

  [tex]\dfrac{x-2}{x+2}-\dfrac{3}{x-2}=2\dfrac{x-11}{x^2-4}\\\\\dfrac{(x-2)^2-3(x+2)-2(x-11)}{x^2-4}=0\\\\\dfrac{x^2 -4x+4-3x-6-2x+22}{x^2-4}=0=\dfrac{x^2-9x+20}{x^2-4}\\\\{x^2-9x+20}=0=(x-5)(x-4)\ \Rightarrow\ x=\{4,5\}[/tex]

The solutions are x=4 and x=5.

_____

Additional comment

The Order of Operations requires that we interpret your input as ...

  x -(2/x) +2 -(3/x) -2 = (2(x -11)/x^2) -4

This is probably not what you want.

In order to get the interpretation we have used above, you need to use parentheses around any numerator or denominator containing arithmetic operations:

  (x -2)/(x +2) -3/(x -2) = 2(x -11)/(x^2 -4)

Step-by-step explanation:

> 2×2a²×2a²

8a⁴

> 36a³×1/4a²

9a³×1/a²

9a

> 2⁶

> 5²m²

Answer:

I think sqrt(74/3)

Step-by-step explanation:

I saw this problem before

Answer:

-4√5

Step-by-step explanation:

-√5-3√5

-√5(1 + 3)

-4√5

Answer:

There were 44 students in each bus.

Step-by-step explanation:

357 - 5 = 352

352/8 = 44

Answer:

Step-by-step explanation:

Total students = 357

Total buses filled = 8

No of students traveled in car = 5

Remaining students = 357 - 5 = 352

Students in each bus = 352 ÷ 8 = 44 students

Answer:

[tex]GF=72[/tex]

Step-by-step explanation:

All triangles in the given figure are similar, from SAS. Notice that marked in the diagram, [tex]CD=DE=EF=FA[/tex].

For triangle [tex]\triangle CGF[/tex] was base [tex]GF[/tex], leg [tex]CF[/tex] contains three of these marked segments. In triangle [tex]\triangle CHE[/tex] with base [tex]HE[/tex], leg [tex]CE[/tex] has two of these marked segments. By definition, similar polygons have corresponding sides in a constant proportion. Therefore, the length of GF must be [tex]3/2[/tex] the length of EH. Since the length of EH is given as 48, we have:

[tex]GF=\frac{3}{2}EH, \\\\GF=\frac{3}{2}\cdot 48,\\\\GF=\boxed{72}[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{57}{40.3}=\frac{23}{QR} \\[/tex]

cross multiply

57(QR)=926.9

QR=16.26...

round to nearest tenth

QR=16.3

Answer:

0.01235

Step-by-step explanation:

we can solve for probability by using the formula;

favourable outcome/total number of outcomes

in this question, the number of favorable outcome = 3

the total number of outcomes = 3⁵

=  3x3x3x3x3 = 243

probability = 3/243

= 0.012345678

this can be approximated to be 0.01235

0.01235 is therefore the probability that all 5 customers would pick the same soft drink as their favorite drink.

Answer:

m=40

Problem:

If 7x^2 - mx-12 is equal to (7x + n)(x-6), where m and n are constants, find the value of m.

Step-by-step explanation:

We want to find n amd m such that

(7x+n)(x-6)=7x^2-mx-12.

Since (ax+b)(cx+d)=acx^2+(ad+bc)x+bd, then we need or should have the following:

(7x)(x)=7x^2

(7×-6+n×1)x=-mx

(n)(-6)=-12

The bottom equation tells us n=2 since 2(-6)=-12.

The first equation is already true.

Now we must solve (7×-6+n×1)x=-mx with n=2 for m.

That is we need to solve 7×-6+2×1=-m

Simplify and done -m=-42+2=-40 so m=40.

Let's do a check

7x^2 - mx-12 is equal to (7x + n)(x-6)

7x^2-40x-12 is equal to (7x+2)(x-6)

(7x+2)(x-6)=7x(x)+7x(-6)+2(x)+2(-6)

(7x+2)(x-6)=7x^2-42x+2x-12

(7x+2)(x-6)=7x^2-40x-12 and that is what we wanted.

Another way:

We want (7x+n)(x-6)=7x^2-mx-12 to be true for all x.

So if x=0 or for x=1, we want the equation to be true.

Insert x=0. This gives (n)(-6)=-12 which implies n=2.

(7x+2)(x-6)=7x^2-mx-12

Insert x=1. This gives (7+2)(1-6)=7-m-12.

Simplify both sides: 9(-5)=-m-5

Continue to simplify left side: -45=-m-5

Add 5 on both sides: -40=-m

Multiply both sides by -1: 40=m

Answer:

$14722.14

Step-by-step explanation:

We are given that

In 2015

The value of jewel=$17500

Rate of appreciation, r=2.5%

We have to find the initial value of the jewel when it was first bought.

Time, n=7 years

Final value=[tex]Initial\;value (r/100+1)^n[/tex]

Using the formula

[tex]17500=Initial\;value(2.5/100+1)^7[/tex]

[tex]17500=Initial\;value(1.025)^7[/tex]

[tex]Initial\;value=\frac{17500}{(1.025)^7}[/tex]

Initial value=$14722.14

Hence, the the initial value of the jewel when it was first bought=$14722.14

2)0000==============]

Answer:

yup you're answer is correct

Answer:

B. 1 < t < 3.

Answer:

None of these are correct.

Step-by-step explanation:

Multiplication property - Incorrect since no multiplication is involved

Subtraction property - Incorrect since no subtraction is involved

Reflexive property - This one's tough, but switching the order of the terms does not apply to the property

So, D is correct.

Hi there!

[tex]\large\boxed{ 14.875}[/tex]

Our interval is from 0 to 3, with 6 intervals. Thus:

3 ÷ 6 = 0.5, which is our width for each rectangle.

Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:

0.5, 1, 1.5, 2, 2.5, 3

Evaluate:

(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =

Simplify:

0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875

Answer:

B one

Step-by-step explanation:

3y + 5 - 2y = 11

3y -2y + 5 = 11

Combine like terms

y + 5 = 11

Subtract  5 from both sides

y = 11 - 5

y = 6

So, Only one solution

Answer:

there is only 1 solution.

Step-by-step explanation:

We can solve the equation to find it's number of solutions, but we already know it only has 1 solution because it is a linear equation (y is raised to the first power).

3y + 5 − 2y = 11

y + 5 = 11

y = 6

This confirms that there is only 1 solution.-------

Answer:

94

Step-by-step explanation:

PQS = (7x - 6)°

SQR = (4x + 15)° since QS bisect PQR these two expressions must be equal

so

7x - 6 = 4x + 15 transfer like terms to the same side of the equation

7x - 4x = 15 + 6

3x = 21 divide both sides by 3

x = 7

also the sum of these two would give us the measure of PQR

7x + 4x + 15 - 6 = PQR

11x + 9 = PQR replace x with 7

11*7 + 9 = 86 this is the measure of angle PQR and also supplementary to PQT so the measure of PQT = 180 - 86

If QS bisects angle PQR. the m<PQT=94 °

Given :

Measure of angles    PQS = (7x - 6)° , and m angle SQR = (4x + 15)°

QS bisects angle PQR. So m<PQS=m<SQR

[tex]7x-6=4x+15\\Solve \; for \; x\\7x-4x-6=15\\3x-6=15\\3x=15+6\\3x=21\\divide \; by \;3 \\x=7[/tex]

Now we find out m<PQR

[tex]m<PQR=m<PQS+m<SQR\\m<PQR=7x-6+4x+14\\m<PQR=11x+8\\x=7\\m<PQR=11(7)+8=85[/tex]

We know that <PQR and <PQT  are linear pair of angles

The sum of linear pair of angles are supplementary

[tex]m<PQR+m<PQT=180\\86+m<PQT=180\\m<PQT=180-86\\m<PQT=94[/tex]

Learn more : brainly.com/question/617412

Answer:

[tex] \frac{ - 8 - \sqrt{288} }{2 \times ( - 2)} = \frac{ - 8 -16.97 }{ - 4} = \frac{ - 24.97}{ - 4} = 6.2425[/tex]

The value of COS Cx sin A by the given data is V3/4.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

We are given that;

AB = 1, AC = 2 and BC = V3

Now,

To find the value of cos C x sin A, we need to use the trigonometric ratios of the right triangle.

We know that cos C = adjacent/hypotenuse = AB/AC = 1/2 and sin A = opposite/hypotenuse = BC/AC = V3/2.

cos C x sin A = (1/2) x (V3/2) = V3/4.

Therefore, by the trigonometric ratio the answer will be V3/4.

Learn more about trigonometric ratios;

https://brainly.com/question/21286835

#SPJ7

Answer:

...-243, 729, -2187

Step-by-step explanation:

-3, 9, -27, 81, -243, 729, -2187

Everytime ×(-3)

-3×(-3)=9

9×(-3)=-27

-27×(-3)=81

Etc.

Answer: (C) [tex]y+1=-2(x-2)[/tex]

Step-by-step explanation:

Slope: y = mx +b

By looking at the graph we can see that the slope has a rise of 2 and a run of -1 (aka. -2x) We can also tell that this has a y-intercept of 3

So our slope is: y = -2x + 3

Now you just have to find the answer that matches.

Answer:

x=19.27329

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / hyp

tan 56 = x/ 13

13 tan 56 = x

x=19.27329

Answer:

3.6cm cubed

Step-by-step explanation:

First solve for both glasses' volumes.

Use l×w×h to plug in the numbers:

3.1×2×3=18.6

3.7×2×3=22.2

then subtract= 3.6

Answer:

3.6 [tex]cm^{3}[/tex]

Step-by-step explanation:

Volume for first container is 3.1 x 2 x 3 = 18.6

Volume for second container is 3.7 x 2 x 3 = 22.2

22.2 - 18.6 = 3.6

Answer:

y = 7X

Step-by-step explanation:

Complete Question

The complete Question is attached below

Answer:

Option D

Step-by-step explanation:

From the question we are told that:

Slant asymptote of [tex]y = 2x[/tex]

Vertical asymptote at [tex]x = 1,[/tex]

Points (0,6)

Generally the Denominator  is give as

With

Vertical Asymptote at

[tex]x -1=0[/tex]

Therefore

Denominator = (x-1)

Generally Slant asympote 2x Gives the Coefficient of the numerator

Therefore

The expression for a rational function f(x) that satisfies the conditions

[tex]F(x)=\frac{2x^2-2x-6}{x-1}[/tex]

Option D

Answer:

5500m..................