determine the values of B,R(x), and Q(x) that makes the equation true

Part a: determine the value of B

Part b: which of the following represents R(x)/Q(x)​

9514 1404 393

Answer:

  D)  (f⋅g)(x)=8x2−2x−15

Step-by-step explanation:

  (f·g)(x) = f(x)·g(x) = (2x -3)(4x +5) = 2x(4x +5) -3(4x +5)

  = 8x² +10x -12x -15

  (f·g)(x) = 8x² -2x -15

Answer:

a = 2/3

Step-by-step explanation:

(4(x+1) + 20 )/(x+1) = 16

4x + 4 + 20 = 16x + 16

12x = 8

x = 2/3

Answer:

4 years

Step-by-step explanation:

Given data

Simple interest= $400

Principal= $2000

Rate= 5%

The simple interest formula is given as

SI=PRT/100

substitute and solve for T

400=2000*5*T/100

cross multiply

400*100= 10000*T

40000=10000T

T= 40000/10000

T= 4 years

Hence the time taken is 4 years

Answer:

16 = 3x

Step-by-step explanation

Find the diagram attached.

Perimeter = sum of all its sides

Sum of all its sides= x+x+x

Sum of all its sides = 3x

Given perimeter = 16in

Equating both;

3x = 16

x = 16/3

x = 5.33in

Hence the value of x is 5.33 and the required equation is 16 =3x

Answer:

C. : 5t

--

Once we find out the number of tables at the reception, we can then multiply the number of tables to 5t.

Answer: B, is the answer

Step-by-step explanation:

The way that the line goes from 6 is represented by the equation

Answer:

x less than 6

Step-by-step explanation:

the line is going down from six and six isnt filled in so it couldnt be equal to 6

Answer:

50 = 16 + 7w

amount to save each week for 3 weeks = $11.33

Step-by-step explanation:

Cost of pet iguana = $50

Amount you have = $16

Savings per week = $7

Number of weeks = w

Equation:

50 = 16 + 7w

To find w

50 - 16 = 7w

34 = 7w

w = 34/7

w = 4.86

Approximately w = 5 weeks to the nearest whole week

if you want to buy the iguana in

three weeks

Let x = amount to save each week for 3 weeks

50 = 16 + 3x

50 - 16 = 3x

34 = 3x

x = 34/3

x = 11.33

amount to save each week for 3 weeks = $11.33

Answer:

Step-by-step explanation:

Let the angles of quadrilateral be

x, 2x, 3x , 4x

sum of all angles of quadrilateral = 360°

x + 2x + 3x + 4x = 360°

10x = 360°

x = 360/10 = 36°

Ans. the four angles are :-

x = 36°

2x = 2 × 36 = 72°

3x = 3 × 36 = 108°

4x = 4 × 36 = 144°

Answer:

Step-by-step explanation:

Let the angles of quadrilateral be

x, 2x, 3x , 4x

sum of all angles of quadrilateral = 360°

x + 2x + 3x + 4x = 360°

10x = 360°

x = 360/10 = 36°

Ans. the four angles are :-

x = 36°

2x = 2 × 36 = 72°

3x = 3 × 36 = 108°

4x = 4 × 36 = 144°

Step-by-step explanation:

20/3 6 teams at least

hope it helps

if I am wrong report me

Answer:

y= -3/4 +3

Step-by-step explanation:

slope-intercept form formula is y=mx+b

 mx= slope

 b= y-intercept

Therefore, if you input the numbers into the equation it is

y=-3/4 +3

it is 3 because this point is located at 3 on the y-axis

Answer:

No

Step-by-step explanation:

(4, 10)

y ≤ 2x + 1

To determine if (4, 10) is a solution to the inequality, we want to plug in the given values.

10 ≤ 2(4) + 1

[multiply] 10 ≤ 8 + 1

[add] 10 ≤ 9

Determine if this statement is true.

10 is greater than 9; therefore (4, 10) is not a solution to this inequality.

Hope this helps!

Answer:

No

Step-by-step explanation:

If you plug in 10 for y and 4 for x, you will get 10 ≤ 9 which is false.

Answer:

x = 30

2x = 60

Step-by-step explanation:

2x + x = 90

3x = 90

x = 30

2(30) = 60

Answer:

S(n)=(25/3)n(n+1)(2n+19)

Step-by-step explanation:

sum_(n=1)^k n (6 + n) = 1/6 k (k + 1) (2 k + 19)

[tex]sum_(n=1)^k n (6 + n) = (1/6) k (k + 1) (2 k + 19)\\50(1/6) k (k + 1) (2 k + 19)\\=(25/3)k (k + 1) (2 k + 19)[/tex]

This is the equation in general:

substitute n for sum from 1 to n

For sum from k to n, substitute:

S(n)-S(k-1)

Answer:

Part 1: B and D

Part 2: C

Part 3: 50575

Step-by-step explanation:

Answer:

x = 11

y = 1

Step-by-step explanation:

N : M

8 : 1

8 N = 1 M

since there is 1 M per every 8 N, y would be 1

to find x, just take 88 and divide it by 8 to get 11

Answer:

$30

Step-by-step explanation:

s = shorts

t = tshirts

s + 2t = 60

s + 3t = 75

s + 2t = 60

rewrite

   -2t     -2t

s = 60 - 2t

s + 3t = 75

plug in

(60 - 2t) + 3t = 75

solve

60 - 2t + 3t = 75

60 + t = 75

-60       -60

t = 15

s + 2t = 60

plug in

s + 2(15) = 60

s + 30 = 60

    -30    -30

s = 30

Answer:

y=72

Step-by-step explanation:

k= xy          [ inverse variation]

k= 12 x 54

 = 648

k= xy

648=9y

y = 648/ 9 = 72

I hope im right!!

Answer:

41 mph

Step-by-step explanation:

122 = 3r

r = 40 2/3 mph

Answer:

y=90x+60

Step-by-step explanation:

x=months

y=dollars

Find dollars/month by finding the slope.

(3, 330), (5, 510)

-> (510-330)/(5-3) -> 90

Since its a constant rate, the function will be in the form, y=mx+b, and since we found the slope we can plug m=90.

y=90x+b

To find be, we simply substitute one of the points.

330=90(3)+b

b=60

Thus, plugging it in,

y=90x+60

Answer:

7

Step-by-step explanation:

40-26=14

14/2=7

Answer:

90°> =Acute

90°< =Obtuse

(90°= )= Right

Answer:

[tex] - \frac{1}{2} [/tex]

its down 1 over 2 each time

8^2 +2^2 is 68 because you only square the integer. In (8 + 2)^2, you square the product of the equation.

Answer:8^2+2^2=68 and (8 + 2)^2=100

Step-by-step explanation:

8^2+2^2

=64+2^2

=64+4

=68

(8+2)^2

=10^2

=100

Answer:

Step-by-step explanation:

1  Yes they are right angles, it is a right angle because you solve it with a Sine equation

2 the hypotenuse is the longest side

3.  If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Answer:

40%

Step-by-step explanation:

Answer:

2.76 pints

Step-by-step explanation:

Given that:

Tottal amount of paint used = 6.9 pints

The faction of white paint used = 3/5

Hence, Amount of white Paint used :

3/5 * 6.9 = (3 * 6.9) / 5 = 4.14 pints of white paint.

Pints of blue paints used :

Total pints - pints of white used

6.9 - 4.14 = 2.76 pints of blue paint

Answer:

x = -411

Step-by-step explanation:

Number = x

Quotient of  a number and 3 : [tex]\frac{x}{3}[/tex]

(x/3) increased by (-7) : [tex]\frac{x}{3}+ (-7)[/tex]

[tex]\frac{x}{3} -7 = - 144\\\\\frac{x}{3}= -144 + 7\\\\\frac{x}{3}= -137\\\\x = -137*3[/tex]

x = - 411

Answer:

-411

Step-by-step explanation:

x / 3 + -7 = -144

x / 3 = -144 + 7

x = -137 x 3

x = -411

Hope that helps!

Answer:

4 8/15

Step-by-step explanation:

The rule is subtract 1 2/6 from the number (n):

(in equation)   x = n - 1 2/6

Answer: I dont know if that is an "I" or a "1" but if it is an "I" the answer is "16-3i" but if is a "1" its 7

Step-by-step explanation: