Can you help me with this

The values of a and b in the fraction are 21/17 and -8/17

From the question, we have the following parameters that can be used in our computation:

(2x+5)/(x-8)(2x+1)=a/(x-8) + b/(2x+1)

Take the LCM

So, the expression can be expressed as

(2x+5)/(x-8)(2x+1)=a(2x+1) + b(x-8)/(x-8)(2x+1)

Multiply both sides by (x-8)(2x+1)

(2x+5) = a(2x+1) + b(x-8)

Open the brackets

2x + 5 = 2ax + a + bx - 8b

By comparison, we have

2a + b = 2

a - 8b = 5

Make a, the subject in a - 8b = 5

a = 5 + 8b

Substitute a = 5 + 8b in 2a + b = 2

10 + 16b + b = 2

Evaluate the like terms

17b = -8

Divide by 17

b = -8/17

Substitute b = -8/17 in a = 5 + 8b

a = 5 + 8 * -8/17

Evaluate

a = 5 - 64/17

So, we have

a = 21/17

Hence, the values are 21/17 and -8/17

Read more about partial fraction at

https://brainly.com/question/18958301

#SPJ1

Answer:

1.1

Step-by-step explanation:

Answer:

3.9 & 3.3

Step-by-step explanation:

x=3.9 and y=-3.3

Explanation:

Let x and y be the two numbers

x + y = 35

x − y = 36 / 5

Let's solve by elimination

2x = 39 / 5

x=3.9

y=-3.3

Hope that helps! :)

-Aphrodite

Answer:

what is this

Step-by-step explanation:

Answer:

it will be 8 dollars

Step-by-step explanation:

so each pack is two dollars and just add two

The expected mass of the sample in the year of 2021 is given as follows:

9 mg.

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

The initial mass was of 130 mg, hence the parameter a is given as follows:

a = 130.

In two years, the mass decayed to 80 grams, hence the parameter b can be obtained as follows:

b² = 80/130

b = square root(80/130)

b = 0.78446454055.

This means that the exponential function for the mass of the sample in x years after 2010 is given as follows:

y = 130(0.78446454055)^x.

2021 is 11 years after 2010, hence the expected mass is obtained as follows:

y = 130(0.78446454055)^11

y = 9 mg.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

[tex]perimeter = ( {2x}^{2} + 3x + 7) + ( {x}^{2} + 5) \\ = (3 {x}^{2} + 3x + 12) \: units[/tex]

Answer:

[tex]P=6x^2+6x+24[/tex]

Step-by-step explanation:

[tex]P=2w+2l\\\\w=x^2+5\\\\l=2x^2+3x+7\\\\P=2(x^2+5)+2(2x^2+3x+7)[/tex]

Point O is where the diagonals in a rhombus MNLP intersect. If the side is 8 inches long and the measure of the angle MNL is 120 degrees, then NP is 8 inches.

A rhombus is a quadrilateral with all of its sides being the same length and both pairs of opposite sides being parallel. The following formula can be used to determine the length of diagonals when applying the law of cosines to triangles made out of the rhombus's diagonal (x) and sides(a): diagonal [tex]x=a\sqrt{2+2\cos \theta}[/tex].

Given the sides of the rhombus, MNLP is 8 inches each and the ∠MNL is 120°. Then, let's take the diagonal NP as x and calculate this using the above formula as follows,

[tex]\begin{aligned}x&=8\sqrt{2+2\cos120^{\circ}}\\&=8\sqrt{2+2(-0.5)}\\&=8\sqrt{2-1}\\&=\mathrm{8\;inches}\end{aligned}[/tex]

The required answer is 8 inches.

To know more about rhombus:

https://brainly.com/question/16739227

#SPJ4

Answer:

25 degrees

Step-by-step explanation:

2x plus 310 degrees add up to a full circle:  360 degrees.

Therefore, 2x = 360 - 310, or 2x = 50, or x = 25 degrees

Answer:

(1/3) (44.5)π cm3.

Step-by-step explanation:

The volume of the two scoops of ice cream combined with the ice cream inside the cone can be calculated as follows:

Volume of cone = (1/3) π (3/2)2h = (1/3) π (4.5)8 = (1/3) (35.5)π

Volume of scoop = (1/6) π d3 = (1/6) (3)π

Total volume = (1/3) (35.5)π + 2(1/6) (3)π = (1/3) (44.5)π cm3.

Step-by-step explanation:

(8 + 2)/(6 - p)= -10

10/6 - p = -10

-60 + 10p = 10

10p= 70

p= 7

Answer:

A

Step-by-step explanation:

[tex]-2<-1 \frac{5}{8}<-1[/tex], and A is the only point between -2 and -1.

Answer: i believe your answer would be C.

Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.

Answer:

Step-by-step explanation:

Vertex form of the equation of a quadratic function with vertex (h,k):

f(x) = a(x - h)² + k

To find a we need to put the point and the vertex into this equation:

3 = a(-6 + 2)² - 13

10 = a(-4)²

16a = 10

a = ⁵/₈

Therefore, vertex form of the quadratic function:

f(x) = ⁵/₈(x+2)² - 13

1, 1/4, -1/2, -5/4, -2

Let the first term of the sequence be a;

Since the sequence has a rule to subtract 3/4 from the previous term;

the second term will be a - 3/4

the third term will be (a - 3/4) - 3/4

=> a - 6/4

=> a - 3/2

the fourth term will be (a - 3/2) - 3/4

=> a - 9/4

the fifth term will be (a - 9/4) - 3/4

=> a - 12/4

=> a - 3

We can then create a hypothetical series by setting a = 1.

The first term => a = 1

The second term => a - 3/4 = 1 - 3/4 = 1/4

The third term => a - 3/2 = 1 - 3/2 = -1/2

The fourth term => a - 9/4 = 1 - 9/4 = -5/4

The fifth term => a - 3 = 1 - 3 = -2

The generated sequence is therefore:

1, 1/4, -1/2, -5/4, -2

Note: The numbers in the sequence are rational numbers since they all have a non-zero denominator.

Answer:

D. y ≥ 2x – 2

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ 2 x + 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ − 2 x + 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≤ 2 x − 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ 2 x − 2

Answer:

It's actually worth 15 points

By solving the expression (3x2 +4x − 15) ÷ (x +3) the quotient is 3x-5 and r=0

When solving a division problem, the quotient is obtained by dividing the dividend by the divisor.

Mathematically, we denote the outcome of this division by separating the quotient and remainder with a capital R. (see below). The entire number that results from simplifying a fraction is known as the quotient.

We can do it by long division method  the required quotient is 3x-5 and r=0

not 3x-1 , r=1

multiply the divisor with 3x we will get 3x²+9x to cancel out the first term of dividend.

Now after solving we will get -5x -15

Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.

So that the quotient is 3x-5 and r=0

To learn more about quotient visit:

brainly.com/question/11418015

#SPJ4

Answer:

The complement of 73° is 17°

The supplement of 73° is 107°

Step-by-step explanation:

Two angles in a complementary are equal to 90°

∴ For complementary:

73° + x = 90°

x = 90°- 73°

∴ x =  17 °

Two angles in a supplementary are equal to 180°

∴ For supplementary:

73° + x = 180°

x = 180° - 73°

∴ x =  107°

Answer:

3,4,2,5,1. youre welcome :)  

The arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is as follows:

Order                           Mathematical expressions

1.                                  3. (4.7 x 10^3). (8.6 x 10^-7)

                                         ________________

                                       (3.8 x 10^-4). (6.1 x 10^2)

2.                                 4. (4.9x10^3).(74x10^–6)

3.                                 2. (2.9x10^7)-(1.6x10^–9)

4.                                 5.  (3.9 x 10^5). (8.7 x 10^-3)

                                            _________________

                                           (3.7 x 10^-5). (2.9 x 10^8)

5.                                 1. (4.3x10^6).(9.8x10^-4)

Mathematical expressions are a combination of numbers, variables, and functions (for example, addition, subtraction, multiplication, or division, etc.) to state complete mathematical thoughts.

Mathematical expressions can be likened to grammatical phrases. In linguistics, a phrase, which may include an action, but it does not make a complete sentence without being combined with other phrases.

1. (4.3x10^6).(9.8x10^-4)

2. (2.9x10^7)-(1.6x10^–9)

3. (4.7 x 10^3). (8.6 x 10^-7)

    ________________

   (3.8 x 10^-4). (6.1 x 10^2)

4. (4.9x10^3).(74x10^–6)

5.  (3.9 x 10^5). (8.7 x 10^-3)

    _________________

    (3.7 x 10^-5). (2.9 x 10^8)

Thus, the arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is 3, 4, 2, 5, and 1.

Learn more about mathematical expressions at https://brainly.com/question/1852123

Answer:

0 and - 10

-4 and - 15

Step-by-step explanation:

5 + (-1) = 5 - 1 = 4

Which does lie between

Hope it helps you in your learning process

Answer:

126

Step-by-step explanation:

Answer:

20 questions for 3 points

10 questions for 4 points

Step-by-step explanation:

20 × 3 = 60

10 × 4 = 40

60 + 40 = 100

Answer:

A. 320 sq. ft.

B. $1920

Step-by-step explanation:

You need to find 5 sides. They are all 8*8. 64*5 is 320. Now, you multiply that by 6 to get $1920

Answer:B

Step-by-step explanation:

Answer: a=5 b=2

Step-by-step explanation:

They both satisfy the equation as 5+2=7 and 5-2=3

Hope this helps!

Here we have been given with two equations and we have to calculate the value of a and b by solving them simultaneously.

★ From Equation No 2 :

>> a - b = 3

>> a = 3 + b

★ In Equation No 1 :

Substituting here the value of a which we got above as (3 + b).

>> a + b = 7

>> 3 + b + b = 7

>> 3 + 2b = 7

>> 2b = 7 - 3

>> 2b = 4

>> b = 4 / 2

>> b = 2

★ Finding out value of a :

>> a = 3 + b

>> a = 3 + 2

>> a = 5 [tex] \: [/tex]

9514 1404 393

Answer:

  141 units squared

Step-by-step explanation:

Dashed lines have been added to the figure to help you see one way to cut it into manageable pieces.

Triangle BCD has a base BD of 10 units and a height CD of 6 units. Its area is ...

  A = 1/2bh

  A = 1/2(10)(6) = 30 . . . square units

Square BEFG has sides of length 6. Its area is ...

  A = s²

  A = 6² = 36 . . . square units

Trapezoid AGHI has bases of 14 and 16, and a height of 5. Its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(14+16)(5) = 75 . . . square units

The total area is the sum of the parts:

  total area = triangle area + square area + trapezoid area

  total area = 30 + 36 + 75

  total area = 141 . . . square units

Mama bear only ate (1/4) of the pie, leaving Goldilocks with the remaining (1/8) fraction.

The fraction is expressed in the form a/b, where an is referred to as the numerator and b is referred to as the denominator. The fraction is a rational number that only divides two integers.

Let the pie's largest portion be a.

Half of the pie was consumed by Papa Bear.

Papa Bear then consumed = (1/2)a.

Rest of the pie is equal to a- (1/2).

a= (1/2)a

Mama bear consumed (half) of the remaining pie.

Mother bear consumed (1/2)(1/2).

pie portion a= (1/4) pie portion after mom bear has eaten = (1/2)

a- (1/4)a= (1/4)a

Baby bear afterwards consumed (half) of the remaining pie.

Baby bear ate (1/2)(1/4), thus. After the young bear has finished eating, the remaining pie is equal to (1/4) a- (1/8)a= (1/8)

The remainder of the component was given to GoldLiocks.

As a result, mom bear only ate (1/4) of the pie, leaving Goldilocks with the remaining (1/8) portion.

The complete question is Papa Bear ate 1/2 of a pie. Mama Benr ate 1/2 of what was left Baby Bear ate 1/2 of what

was left after Mama Bear finished.

3) What fractional part of the pie did Mama Bear eat?

4) What fractional part of the pie was left for Goldilocks?

To learn more about fractional part refer to:

https://brainly.com/question/17144454

#SPJ4

Answer:

13.5 feet or 27/2

Step-by-step explanation:

4.5 x 3 = 13.5

Answer:

Step-by-step explanation:

Use "Law of sines"

[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin B}{b}[/tex] = [tex]\frac{sin C}{c}[/tex]

Answer:

Step-by-step explanation:

Here,

These two angles when added forms a 180° that straight line .

Hence,

These are supplementary angles.