what is the value of y

Answer:

[tex] \frac{3}{x - 3} - \frac{5}{x - 2} = \frac{3(x - 2) - 5(x - 3)}{(x - 3)(x - 2)} = \frac{3x - 6 - 5x + 15}{(x - 3)(x - 2)} = \frac{9 - 2x}{(x - 3)(x - 2)} [/tex]

To simplify the expression 3/x-3 - 5/x-2 into one fraction, you need to find a common denominator. The simplified expression is (-2x+9) / [(x-3)(x-2)].

To simplify the expression 3/x-3 - 5/x-2 into one fraction, we need to find a common denominator.

The denominator of the first fraction is x-3 and the denominator of the second fraction is x-2.

The common denominator will be (x-3)(x-2) since that is the product of the two denominators.

Multiplying the numerator and denominator of the first fraction by (x-2) and the numerator and denominator of the second fraction by (x-3), we get:

[(3)(x-2)] / [(x-3)(x-2)] - [(5)(x-3)] / [(x-3)(x-2)]

= (3x-6) / [(x-3)(x-2)] - (5x-15) / [(x-3)(x-2)]

Now that we have a common denominator, we can combine the terms in the numerator:

(3x-6 - 5x+15) / [(x-3)(x-2)] = (-2x+9) / [(x-3)(x-2)]

Therefore, the simplified expression is (-2x+9) / [(x-3)(x-2)].

Answer:

C (20, 3) = 1140

Step-by-step explanation:

We are given that there is chorus of 20 singers and we are to find the number of different trios that can be selected from 20 singers.

This is a problem of combinations where the order of trios is not important.

[tex] C ( 2 0 , 3 ) = \frac { ( 2 0 ! ) } { ( ( 2 0 - 3 ) ! 3 ! ) } [/tex]

[tex]C ( 2 0 , 3 ) = \frac { 2 0 ! } { ( 1 7 ! ) ( 3 ! ) } [/tex]

[tex]C ( 2 0 , 3 ) = \frac{( 2 0 \times 1 9 \times 1 8 )}{( 3 \times 2 \times 1 )}[/tex]

C (20, 3) = 1140

Answer:

C(20, 3)

Step-by-step explanation:

have a good day

Answer:

x = 7

Step-by-step explanation:

The photo should show you how to do it.

Answer:

300+85670=85970

Answer:

85,970

Step-by-step explanation:

This is simple, just add 300 or 3 hundreds to 85,650 on a calculator to get 85,970. 6 + 3 = 9.

Answer:

Option B (3x - 4y = -4).

Step-by-step explanation:

Parallel lines are the straight lines that never meet. This is only possible when the gradients of both the lines are same. This means that the slopes of all the parallel lines in a group can be calculated by calculating the slope of one of the lines. Therefore, the slope of the line that is parallel to the line 3x-4y=7 is the same as the original line. Hence, the gradient can be extracted from the original line by converting the equation in the form y=mx+c, where m is the slope.

3x - 7 = 4y.

y = (3/4)x - 7/4.

The slope of the line which has to be found is 3/4 and it passes through (x0, y0) = (-4, -2). Using the following formula:

(y - y0) = m*(x - x0).

(y + 2) = (3/4)*(x + 4)

Cross multiplying:

4y + 8 = 3x + 12.

3x - 4y = -4.

Hence, Option B is the correct choice!!!

The answer is:

The function intercepts de x-axis at "x" equal to 1.631.

To find the x-intercept of the function, we need to make f(x) or "y" equal to 0, and then, isolate "x".

So, isolating we have:

[tex]f(x)=3^{(x-1)} -2\\\\0=3^{(x-1)} -2\\\\3^{(x-1)}=2\\\\Log_{3}(3^{(x-1)})=Log_{3}(2)\\\\x-1=0.631\\\\x=0.631+1=1.631[/tex]

Hence, we have that the function intercepts de x-axis at "x" equal to 1.631.

Have a nice day!

Note: I have attached a picture for better understanding.

Answer:

1/6 + 7/8

6 and 8's LCD is 24.

1(4)/6(4) + 7(3)/8(3)

=4/24 + 21/24

=25/24

What is the smallest number that is divisible by 6 and 8 evenly?

What about 24?

24/6 = 4

24/8 = 3

LCD = 24

The last one has those projections.

Hope this helps.

r3t40

Answer:

D

Step-by-step explanation:

its the only one that has to triangles on top and rectangles on the sides

Answer:

B

Step-by-step explanation:

Answer: 180/600

Step-by-step explanation: 100x6=600 and 30x6=180

Answer:

Could you repost and attach a picture to go along with your problem?

Answer:

c

Step-by-step explanation:

answers is c because the line matches the equation

Answer:

D

Step-by-step explanation:

The blue graph is the same as the red one except that it was formed by translating the red graph 3 units to the left.  Thus, D is the correct formula.

Answer:

The solution of the system of equations are the points (1,2) and (-1,-2)

a0=1, a1=-1,a2=-2

Step-by-step explanation:

we have

[tex]x^{2} +y^{2}=5[/tex] ----> equation A

This is the equation of a circle centered at the origin

[tex]y=2x[/tex] ----> equation B

This is the equation of a line, that passes through the origin (a direct variation)

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection points both graphs

using a graphing tool

The intersection points are (1,2) and (-1,-2)

see the attached figure

therefore

The solution of the system of equations are the points (1,2) and (-1,-2)

a0=1, a1=-1,a2=-2

[tex](f+g)(x)=x+8+4x-3=5x+5[/tex]

Answer:

x = -3/b

x = -1

Step-by-step explanation:

-2(bx-5)=16

Divide each side by -2

-2(bx-5)/-2=16/-2

bx-5 = -8

Add 5 to each side

bx-5+5 = -8+5

bx = -3

Divide each side by b

bx/b = -3/b

x = -3/b

If b = 3

x = -3/3

x = -1

Answer:

-3/b; -1

Step-by-step explanation:

A. Solve the equation

[tex]\begin{array}{rcr}-2(bx - 5) & = & 16\\bx - 5 & = & -8\\bx & = & -3\\x & = & \boxed{\mathbf{-3/b}}\\\end{array}[/tex]

B. Value when b = 3

[tex]\begin{array}{rcr}x & = & -3/3\\x & = & \boxed{\textbf{-1}}\\\end{array}[/tex]

Answer:

We need to find the increasing function with constant slope.

Let us check each option one by one.

A) 6x -5y =10.

Let us solve it for y to get slope-intercept form

6x-5y =10.

-5y =-6x +10.

y =6/5 x-2.

Slope is 6/5 positive, therefore, it's an increasing function.

A linear function always has a constant slope.

Therefore, correct option is option A.

A. 6x -5y =10

All other options are incorrect.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

9

Step-by-step explanation:

3root^857375

Answer:

95

Step-by-step explanation:

The product of the prime factors of 857375 are

5 × 5 × 5 × 19 × 19 × 19 ← express as combination of pairs

= (5 × 19) × (5 × 19) × (5 × 19)

= 95 × 95 × 95 = 95³

Hence

[tex]\sqrt[3]{857375}[/tex] = [tex]\sqrt[3]{95^{3} }[/tex] = 95

the answer is A. the commutative property of addition. this property states that no matter what order you put the numbers, the outcome will be the same.

Hope this helps!

Answer:

A. Down on the left, down on the right

Step-by-step explanation:

Let x be negative infinity

f(-∞) = -3 (-∞)^4+ 7(-∞)^2 - 12(-∞) + 13

f(-∞) = -3 (∞)^4+ 7(∞)^2 + 12(∞) + 13

The term that dominates is ∞^4

That term is negative because of the -3, so it goes down

f(∞) = -3 (∞)^4+ 7(∞)^2 - 12(∞) + 13

f(∞) = -3 (∞)^4+ 7(∞)^2 - 12(∞) + 13

The term that dominates is ∞^4

That term is negative because of the -3, so it goes down

It is down at -∞ and down and +∞

The end behavior of the function is determined by the sign of the leading coefficient and the degree of the highest-powered term. Since the leading coefficient for f(x) = -3x^4 + 7x^2 - 12x + 13 is negative and the degree is even, it results in a down on the left, down on the right end behavior.

To determine the end behavior of a polynomial function, like f(x) = -3x^4 + 7x^2 - 12x + 13, you look at the coefficient and degree of the highest-powered term. The highest-powered term in the function is -3x^4.

Since the highest degree of the function is even (4), the arms of the graph will go in the same direction. That direction is determined by the sign of the leading coefficient, which is negative in this case. Therefore, the end behavior of f(x) is: Down on the left, down on the right.

So, the correct answer is Option A.

https://brainly.com/question/33980473

#SPJ3

Answer:

see explanation

Step-by-step explanation:

Note that 9x² and 49y² are perfect squares.

9x² = (3x)² → 3x is the first term

49y² = (7y)² → 7y is the second term

Hence

(3x + 7y)² = 9x² + 42xy + 49y²

Answer:

[tex]\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]

Step-by-step explanation:

we know that

Te volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we have

[tex]r=(r/2)\ units[/tex]

substitute

[tex]V=\frac{1}{3}\pi (r/2)^{2}h[/tex]

[tex]V=\frac{1}{12}\pi r^{2}h[/tex]

Te volume of the cylinder is equal to

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

we know that

To find the volume of the space remaining in the cylinder after the cone is placed inside it, subtract the volume of the cone from the volume of cylinder

so

[tex]\pi r^{2}h-\frac{1}{12}\pi r^{2}h=\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]

Answer:

3.6

Step-by-step explanation:

replace x with -3

f(-3)=0.6(3-(-3))

f(-3)=0.6(6)

f(-3)=3.6

Answer:

3.6.

Step-by-step explanation:

Replace x by -3 in the function and work it out:

f(-3) = 0.6(3 - (-3))

= 0.6(3 + 3)

= 0.6*6

= 3.6 (answer).

Answer:

x ≥ 6

Step-by-step explanation:

Lets solve the first inequality:

7x - 6 > 8

7x > 8 + 6

7x > 14

x > 14/7

x > 2

And now the second inequality:

3x + 4 ≥ 22

3x ≥ 22 - 4

3x ≥ 18

x ≥ 18/3

x ≥ 6

So, from the 2 answers, which region is overlapping ?? x ≥ 6

So this is the solution.

Note: we disregard x from 2 to 6 because that region is ONLY solution to the first one

Answer:

45.2 MB

Step-by-step explanation:

19.3% is equivalent to [tex]\frac{19.3}{100}[/tex]

Given that the total size of the file is 234 MB and only [tex]\frac{19.3}{100}[/tex] has been downloaded,

number of MB downloaded,

= [tex]\frac{19.3}{100}[/tex] x 234 MB

= 45.162 MB

= 45.2 MB (rounded off to nearest tenth)

Answer:

Step-by-step explanation:

First, you convert 19.3 to a decimal. That is 0.193. Then, you multiply 0.193 and 234 to get 45.162 megabytes. Since it is asking for the number of megabytes, you will have to round it and get 45 megabytes.

Answer:

The measure of arc AC is 85°

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

m∠ABC=(1/2)[arc AC]

substitute

(4x-5.5)°=(1/2)[5x+25]°

(8x-11)°=(5x+25)°

8x-5x=25+11

3x=36

x=12°

Find the measure of arc AC

arc AC=(5x+25)°

arc AC=5(12)+25=85°

Answer:

The answer is 85

Step-by-step explanation:

I just took the test

x/-9 ≥ 3

To solve for x, multiply both sides by -9

x ≥ 3 *-9

Because the number is negative reverse the inequality sign.

x ≤ -27

Answer:

(1, - 6.75 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 6.75 = 0.25(x - 1) ← is in point- slope form

with m = 0.25 and (a, b) = (1, - 6.75) ← point on line

Answer:

(1, - 6.75 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 6.75 = 0.25(x - 1) ← is in point- slope form

with m = 0.25 and (a, b) = (1, - 6.75) ← point on line

Answer:

18

Step-by-step explanation:

thanks..

..

Answer:

C. 18

Step-by-step explanation:

Let x represent number of stereos.

We have been given that a salesman sold each stereo for $1500. He earned a commission of 16.5% on each stereo sold.

The amount of commission earned on each stereo would be 16.5% of 1500.

[tex]1500\times \frac{16.5}{100}=15\times 16.5=247.5[/tex]

The amount of commission earned on x stereos would be [tex]247.5x[/tex].

We are told his base salary is $33,170, so total salary of salesman would be [tex]247.5x+33,170[/tex].

We are also given that last year he earned $37,625. We can represent this information in an equation as:

[tex]247.5x+33,170=37,625[/tex]

[tex]247.5x+33,170-33,170=37,625-33,170[/tex]

[tex]247.5x=4455[/tex]

[tex]\frac{247.5x}{247.5}=\frac{4455}{247.5}[/tex]

[tex]x=18[/tex]

Therefore, the salesman sold 18 stereos last year.

Answer:

x < 11

Step-by-step explanation:

2- 2x>-20

Subtract 2 from each side

2-2- 2x>-20-2

-2x> -22

Divide by -2.  Remember that flips the inequality

-2x/-2 < -22/-2

x < 11