Let p(x) = 7x + 5 and r(x) = x - 1. Find and evaluate (rp)(2)

Answer:

(8.21, -20.79)

Step-by-step explanation:

Given the simultaneous equation;

[tex]\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29[/tex]

From 2;

a = 29 + b ....3

Substitute 3 into 1;

[tex]\frac{29+b}{b} - \frac{b}{2} = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\[/tex]

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

Hence the solution to the system of equation is (8.21, -20.79)

[tex]1.) -4\\2.) 2\\3.) -3\\4.) 2\\5.) 4\\6.) -5\\7.) -5\\8.) -17\\9.) -13\\10.) 2\\11.) -1\\12.) 0\\13.) -1\\14.) 7\\15.) -9\\16.) 9\\17.)2\\18.) 0 \\19.) -1\\20.)12\\21.) -3\\22.)1\\23.) 6\\24.)5\\25.)1 \\26.)-11\\27.)-1\\28.)0\\29.)-9\\30.)5\\31.)4\\32.) 6\\33.) 2\\34.) 6\\35.)4\\36.) -4\\37.)-6\\38.)-5\\39.) -5\\40.)8\\[/tex]

Answer:

18π

Step-by-step explanation:

Answer:

(2³)³=512

because, 2³=8 & 8³=512

Answer:

512

Step-by-step explanation:

Ok, let's start by deciphering how powering works:

[tex]a^3 = a \cdot a \cdot a\\a^b * a^c = a^{b+c}\textrm{; because it's "multiply a b times" multiplied by "multiply a c times"}\\(a^b)^c = a^{b\cdot c}\textrm{; because of the above}\\[/tex]

[tex](2^3)^3 = 2^{3\cdot3} = 2^9\\[/tex]

and because of KibiBytes existing, we know that 2^10 = 1024, so 2^9 will be equal to 1024/2=512

Answer:

111

Step-by-step explanation:

just divide the raduis by 2 to get 111

Answer:

444

Step-by-step explanation:

The radius of a circle is the center point to the end of the circle in any direction.

the diameter of a circle is the full stretch of the circle.

In order to find out the diameter from the radius all you have to do is multiply the radius by 2.

222*2=444.

If you need me to go in depth please let me know

Answer

15 plates, 12 napkins and 10 cups

Step-by-step explanation:

To find the least amount, you have to find the lcm of all three numbers. In this case the lcm of 8,10, and 12 is 120. Afterwards you need to divied 120 by all numbers. So 120 divided by 8 is 15, so 15 plates. 120 divided by 10 is 12, so 12 napkins and finally 120 divided by 12 is 10, so 10 cups

The least number of packages of plates, napkins, and cups Maia has to buy so that she has the same number of each Item for her birthday party is 15, 12, and 10, respectively.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that paper plates come in packages of eight, napkins come in packages of 10, and paper cups come in packages of 12. Therefore, to find the least number of packages of plates napkins and cups Maria has to buy so that she has the same number of each Item for her birthday party, we need to take the LCM of the following.

LCM of 8, 10, and 12 = 120

Now, the number of packages,

[tex]\text{Number of paper plate packs} = \dfrac{120}{8}=15[/tex]

[tex]\text{Number of napkins pack} = \dfrac{120}{10}=12[/tex]

[tex]\text{Number of paper cups pack} = \dfrac{120}{12}=10[/tex]

Hence, the least number of packages of plates, napkins, and cups Maia has to buy so that she has the same number of each Item for her birthday party is 15, 12, and 10, respectively.

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Answer:

A. 8 fl oz = 1 c and/or D. 1 c = 8 fl oz

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

Answer:

The Price of socks is  

=

$

8

Explanation:

Given -

Discount 25%

Price of shirt before discount  

=

$

24

Amount spent on both shirt and socks after applying discount  

=

$

24

Assume the price of socks  

=

$

x

Then Shirt + Socks before discount =

$

(

24

+

x

)

After discount one has to pay 75% of the article.

Then -

75

100

(

24

+

x

)

=

24

0.75

(

24

+

x

)

=

24

18

+

0.75

x

=

24

0.75

x

=

24

−

18

=

6

x

=

6

0.75

=

8

The Price of socks is  

=

$

8

How to verify your answer -

One way

Price of shirt =$24

Price of socks =$8

Total =$32

Discount =25%

Discount for $32 is  

32

×

25

100

=

$

8

Amount one has to pay after discount  

=

32

−

8

=

$

24

Another way is -

Discount 25%

It means after discount it is enough if he pays 75% of the price.

In our case - Actual price is  

=

$

32

75% of $32 is  

=

32

×

75

100

=

2

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

the equation is x = k / y

when x = 2 & y = 8 then k is 16

when you is 18 then x = 8/9

Answer:

21

Step-by-step explanation:

Hey There

So remember all of the angles in a triangle add up to equal 180

The exterior angle is equal to the missing interior angle because they are vertical angles

so 180 = 2x + 6 + x + 9 + 129

step 1 combine like terms

6+9+129=144

2x+x=3x

now we have

180=144+3x

step 2 subtract each side by 144

180-144=36

now we have

3x=36

step 3 divide each side by 3

36/3=12

Now we just plug in 12 to x+9

12+9=21

so we can conclude that angle A = 21

Answer:

1/10

Step-by-step explanation:

not sure

Answer:

48

Step-by-step explanation:

pythagorean theroem

Answer:

46ft

Step-by-step explanation:

An isosceles triangle is one with two equal-length sides. The value of x is 58°.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Since the given triangle is an isosceles triangle, therefore, the angle opposite to side 6.25 units will be equal, therefore, the sum of all the angles of the triangle will be,

61° + 61° + x = 180°

x = 58°

Hence, the value of x is 58°.

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Answer:

the answer is 50, trust me!

Step-by-step explanation:

The measure of AU is 50.

An arc is a part of a curve that is a continuous portion of the circumference of a circle or an ellipse. It is defined by two endpoints and the arc itself, which is the curved section between the endpoints.

Given:

arc QU = 88 and <QUA = 111

So, QDA = 2 <QUA

        = 2 X 111

        = 222

Now, QUA = 360- 222 = 138

and, arc AU = QUA - arc QU

           = 138- 58

           = 50

Hence, the measure of AU is 50.

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Answer:

(b-3d) (3a+c)

Step-by-step explanation:

factor the expression

Answer:

8x6x4=192. So, the answer is 192.

Answer:

it's almost of 40 percentage of the total

Answer:

80,800

Step-by-step explanation:

Answer:

a=-7,b=-10,c=-7,d=-1

Step-by-step explanation:

Answer:

82.555

Step-by-step explanation:

I used a calculator

Answer: she lost 8.5 marks.

Step-by-step explanation: 85% of 60=8.5

Answer:

y = -1 and u = 3.333

Step-by-step explanation:

The given equations are :

3u + y = 9 ...(1)

3u-5y = 15 ...(2)

Subtract equation (2) from (1).

3u + y-( 3u-5y)= 9 -15

y+5y = -6

6y = -6

y = -1

Put the value of y in equation (1).

3u + (-1) = 9

3u-1 = 9

3u = 10

u = 10/3

u = 3.333

The attached figure shows the graph for the above equations.

Answer:

25 t

Step-by-step explanation:

Answer:

1. 3

Step-by-step explanation:

Answer:

1.22 grams of sugar

Step-by-step explanation:

8.54 divided by 7 is 1.22