Donovan age is two times Sydney's age the sum of their ages is 39 what is Sydney's age

Answer:

[tex]f(-1)=-5[/tex]

Step-by-step explanation:

Numeric Value of a Function

Given:

[tex]f(x)=4x^2-9[/tex]

It's required to find f(-1).

It can be calculated by substituting the value x=-1 in the function:

[tex]f(-1)=4(-1)^2-9[/tex]

Calculating:

[tex]f(-1)=4*1-9[/tex]

[tex]f(-1)=4-9[/tex]

[tex]\boxed{f(-1)=-5}[/tex]

Answer:

The expression : 12x + 2.50y

Total cost = $103.5

Step-by-step explanation:

The number of people that went to the movie = x

Number of people that bought drinks = y

Total cost = 12x + 2.50y

Eight people went to a movie and three of them purchased a drink

Total cost = 12 × 8 + 2.50 × 3

Total cost = 96 + 7.5

Total cost = $103.5

Answer:

5x-10=60 being vertically plopposite angle .

Answer:

14; vertical

Step-by-step explanation:

since these are vertical angles, they will equal the same;

5x - 10 = 60

add 10

5x = 70

divide by 5

x = 14

Answer:

2.125 is your answer!! pls give brainlist (:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

B.

hope it helps...........

Step-by-step explanation:

soln

given

y=2x+3 -----(i)

y=-x-9 ------(ii)

now, putting value of equation (i) in (ii)

y= -x-9

or, 2x+3 = -x-9

or, 2x+x = 9-3

or, 3x = 6

or, x = 6/3

or, x = 2

again,

y = 2x+3

or, y = 2×2+3

or, y = 7

therefore, value of X and Y are 2 and 7 respectively.

Answer:

D

Step-by-step explanation:

communicative property of X

Answer: $6.04

Step-by-step explanation:

add 65.25 and 86.50 you get 151.75 then do 157.79-151.75 and you get 6.04

Part a)

Given the expression

[tex]54m^3n\:+\:81m^4n^2[/tex]

Apply exponent rule:    [tex]a^{b+c}=a^ba^c[/tex]

[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn[/tex]     ∵ [tex]m^4n^2=m^3mnn[/tex]

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

                             [tex]=2\cdot \:27m^3n+3\cdot \:27m^3mnn[/tex]

Factor out the common term:   27m³n

                              [tex]=27m^3n\left(2+3mn\right)[/tex]      

Therefore,

[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)[/tex]

Part B)

Given the expression

[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z[/tex]

Apply exponent rule:    [tex]a^{b+c}=a^ba^c[/tex]

[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z[/tex]

Rewrite as

                                               [tex]=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z[/tex]

Factor out common term 5y²x²z

                                                [tex]=5y^2x^2z\left(3y+5x+7\right)[/tex]

Therefore,

[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)[/tex]

Answer:

0

Step-by-step explanation:

The y-intercept of y = -3x is zero.

Answer:

0

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -3x

Step 2: Break Function

Identify Parts

Slope m = -3

y-intercept b = 0

*We assume that if the variable isn't there, it is 0 or being multiplied by 0.

Answer:

1/2

Step-by-step explanation:

Let the total pie be 2

She ate 1/6

Her brother ate 1/3

If she gave her Friend the remaining, the fraction of the amount her friend collected is expressed as:

1-(1/6+1/3)

= 1-((1+2)/6)

= 1-3/6

= 1 - 1/2

=1/2

Hence the fraction she gave her friend is 1/2

your answer is

22.5

good luck :)

Answer:

HI I am back thanks for zooming in I would say your answer would be D sorry if i am wrong but that should be correct I am 98% sure. Plz let me know if it is correct or not! (Brainliest Plz)

Step-by-step explanation:

(PLz give me Brainliest)

Answer:

round it to 20×10 there's you answer

Answer:

Pretty sure 25%.

Step-by-step explanation:

First, you would need to see how many times 60 goes into 100, because a percent is ALWAYS over 100. You should get an answer of 1.66666667. Then you if you multiply it to one of the numbers then you have to do it to the other number. So, you would do 15 times 1.66666667. You would get 25. So, that would be 25 over 100 or 25/100. And 25 over 100 is 25%.

I hope I helped! :) Sorry if it's wrong :(

Answer:

12 pairs

Step-by-step explanation:

Represent Brown with B and Black with A

So:

[tex]A + B = 20[/tex] --- Pairs sold

[tex]30B + 35A = 640[/tex] --- Amount

Required

Solve for B (the brown pairs)

Make A the subject in the first equation

[tex]A = 20 - B[/tex]

Substitute 20 - B for A in the second

[tex]30B + 35(20-B) = 640[/tex]

Open bracket

[tex]30B + 700 - 35B = 640[/tex]

Collect Like Terms

[tex]30B - 35B = 640 -700[/tex]

[tex]-5B = -60[/tex]

Divide both sides by -5

[tex]B = \frac{-60}{-5}[/tex]

[tex]B =12[/tex]

Given:

The point is (6,2).

To find:

The image of given point after rotation of 270 degrees.

Solution:

Let the given point be P(6,2).

Rotation of 270 degrees means the figure is rotated 270 degrees counterclockwise about the origin. So, the rule of rotation is

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex]P(6,2)\to P'(2,-6)[/tex]

Therefore, the image of given point is (2,-6).

Answer:

π(12x^3y^5z)^2

Step-by-step explanation:

I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment

Answer:

Answer is<

Step-by-step explanation:

the square root of 54 is 7.34<7.4

Answer:

32 cubes

Step-by-step explanation:

I would first determine the volume in inches of the rectangular prism.

V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.

Then I would calculate the volume of the cube with 1/6 inch sides

V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.

Then I would divide the V of the large prism by the V of the small cube

(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes

Answer:

(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x²  +  1).

(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.

Step-by-step explanation:

(i) Given;

Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3

Factor, = x + 3

            x = -3

if (x + 3) is a factor of the polynomial, then p(-3) = 0

p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3

        = 81 -108 + 36 - 12 + 3

        = 0

(x + 3) is a factor of the given polynomial and the remainder is 0.

The remaining factors can be obtained as follows;

               x³  +  x² + x + 1

            --------------------------------

x + 3 √x⁴ + 4x³ + 4x² + 4x + 3

        - ( x⁴  + 3x³)

          --------------------------------

                    x³ +  4x² + 4x + 3

                   -(x³  + 3x²)

          ----------------------------------

                            x² + 4x + 3

                          -(x²  + 3x)

         ---------------------------------------

                                     x + 3

                                   -(x + 3)

           ---------------------------------------

                                          0

 Further divide x³  +  x² + x + 1  by x + 1

                      x²  +  1

                    ---------------------

        x + 1 √x³  +  x² + x + 1

                 -(x³  +  x²)

                  ------------------------

                                   x +  1  

                                 -( x  + 1)

                             -----------------

                                      0              

Thus, the factors of  x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x²  +  1)

(ii) Given;

Polynomial, p(x)= 2x⁴ - 5x² - 2

Factor, = x + 1

            x = -1

if (x + 1) is a factor of the polynomial, then p(-1) = 0

p(-1) = 2(-1)⁴  - 5(-1)² - 2

       = 2 - 5 - 2

       = -5

Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.

Answer:

There is no x-intercept, only a y-intercept, which would be 1

Answer:

15/2=7 R1

Step-by-step explanation:

Answer:

1 solution

Step-by-step explanation:

To find this out you can just solve the equation so if you simplify you get

2+6x-24=3x

-3x=-22

x=22/3

so one solution

Answer:

its 20x20

Step-by-step explanation:

ty for point also i did the test

Answer: I just did the test so the answer would be (20x,20y)

Step-by-step explanation: hoped this help thx for the points :D

Answer:

2% of 65

2/100*65

13/10

1 3/10

Answer:

80 i think

Step-by-step explanation:

32.3=80

Step-by-step explanation:

Amount of money saved : spent = 2 : 3.

Since amount of money saved = £32,

Amount of money spent = £32 * (3/2) = £48.

Total amount of money = £32 + £48 = £80.

Therefore I received £80 for my birthday.

Answer:

Step-by-step explanation:

Ab + ac