Which polynomial is prime?

Answer:

$168

Step-by-step explanation:

let x = total sum of money shared

Amount Gerald took = 51 + [tex]\frac{2}{7} x[/tex]

Amount Ben took = (51 + [tex]\frac{2}{7} x[/tex]) - 30

= 21 + [tex]\frac{2}{7} x[/tex]

(51 + [tex]\frac{2}{7} x[/tex]) +( [tex]21 + \frac{2}{7}x[/tex]) = x

combine like terms

51 + 21 = x - ([tex]\frac{2}{7} x + \frac{2}{7} x[/tex])

72 = x - 4/7x

72 = 3/7x

divide both sides of the equation by 7/3

x = $168

Answer:

Area= Base x height

Area= 7 x 12 inch

Area= [tex]84inch^{2}[/tex]

Brainliest please

Answer:

Step-by-step explanation:

Let the number of apples given to his friends = x

To represent the number of apples Johnny has, subtract the apples given to his friends from 14

Number of apples with Johnny = 14 - x

Answer:

Answer

Step-by-step explanation:

21+3+6

= 30

Ratio of parents = 21

10% of 30 = 30/10

                = 3

21 is __% of 30

= 21/30 * 100

= 0.7 * 100

= 70%

Answer:A(1,-5)

B(6,-8)

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer:

it would be line to zero slope that's all I can do for u pal maybe..

Answer:

-10 -2d+7=8-10-3d

-2d + 7 =8 -3d

-2d + 7 =3d = 8

-2d + 3d = 8-7

d=8-7

d=1

Answer:

[tex]d = 1[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]d - 10 - 2d + 7 = 8 + d - 10 - 3d[/tex]

[tex](d - 2d) + (-10 + 7) = (8 - 10) + (d - 3d)[/tex]

[tex](-d) + (-3) = (-2) + (-2d)[/tex]

Step 2:  Add 2d to both sides

[tex]-d + 2d - 3 = -2 - 2d + 2d[/tex]

[tex]d - 3 = -2[/tex]

Step 3:  Add 3 to both sides

[tex]d - 3 + 3 = -2 + 3[/tex]

[tex]d = 1[/tex]

Answer:  [tex]d = 1[/tex]

Answer:

60

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Given :

Sample size, n = 128

Mean, μ = 18

Standard deviation, σ = 5.4

Number of people who lost atleast 15 pounds :

The Zscore = (x - μ) / (σ)

Zscore = (15 - 18) / 5.4

Zscore = - 3 / 5.4

Zscore = - 0.5555

P(Z < - 0.555) = 0.28945

Number of people who lost atleast 15 pounds :

0.28945 * 128 = 37.0496

= 37 people

Answer:

She can refill 2 cages.

Step-by-step explanation:

Since Megan puts 1/3 of a kilogram of bird seed in each bird cage, she can fill 2 cages.

Answer: she can fill 2 times the amount of cages she has.

say: x=the cages

so 2x/ 2 times of the cages

hope this helps! i tried :)

Answer:

- 2 / 7

Step-by-step explanation:

Let,

x1 = 7

x2 = 14

y1 = 2

y2 = 0

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 0 - 2 ) / ( 14 - 7 )

= - 2 / 7

[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{(4 - 2)}{(0 - 7)} \\ = \frac{2}{ - 7} \\ \\ so \: the \: slope \: is \: \frac{2}{ - 7}.[/tex]

This is the answer.

Hope it helps!!

Answer:

The same lines (answer)

Step-by-step explanation:

The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,

y-3 = 2(x-3) .......(1)        ;   y + 5 = 2(x+1) ...........(2)    

y = 2x - 6 + 3                ;  y = 2x + 2 - 5    

y = 2x -3                       ;  y = 2x - 3

Comparing with slope intercept form we have,

m1 = 2                           ; m2 = 2

c1 = -3                           ; c2 = -3

If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)

Answer:

B

Step-by-step explanation:

The parabola minimum is 3

The top quadratic minimum is 2 so

g(x) minimum is greater

i think by x2 you meant x²

(-3x² + 2x + 1) + (-8x² + 3x + 2)

-11x² + 5x + 3

Answer:

In terms of x, the smaller integer is (x - 1)/2

Step-by-step explanation:

Two consecutive positive integers can be written as:

n and (n + 1)

Where n is an integer and:

n > 0.

notice that the smaller of the two integers is n.

We know that the sum of these two integers is equal to x, then:

n + (n + 1) = x

we can rewrite this as:

2n + 1 = x

solving this for n (the smaller of the two integers) we get:

2n = x - 1

n = (x - 1)/2

In terms of x, the smaller integer is (x - 1)/2

Answer:

(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)

=3(x-4y)÷(x-8y)

Answer:

hwukebhejsnsknbjbbjkkkkkkkk

Answer:

1/36 =  .0277 = 2.7%

Step-by-step explanation:

6*6 = 36

only one combination > 11 that is 12 [ 6 +6 ]

Answer:

Charlotte should take 5 meals to Glenview Apartment complex, 4 meals to North-side neighborhood center and 10 meals to Oak Hill Senior Center

Step-by-step explanation:

The given number of meals = 19 meals

The fraction of the meals to be taken to Oak Hill = (1/2)

The fraction of the meals to be taken to Glenview Apartment = (1/4)

The fraction of the meals to be taken to North-side neighborhood = (1/5)

Let A represent an even number of meals, we have;

The total meals she delivers = (1/2)·A + (1/4)·A + (1/5)·A = (19/20)·A

The remaining meals = A - (19/20)·A = (1/20)·A

Therefore, if the meals where 20, she would have an excess of 1 meal left

Therefore, the number of meals she can share using the given fractions = 19 meals

Therefore;

The number of whole meals she can take to Glenview = 20×(1/4) meals = 5 meals

The number of whole meals she can take to North-side neighborhood = 20 × (1/5) meals = 4 meals

Therefore, the number of meals she would take to Oak Hill Senior Center = (20 - 5 - 4) meals = 10 meals

Answer:

The speed of Sara is 78.4 km/h.

Step- by-step explanation:

Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?

Let the distance is d.

speed of Manuel = 56 km/h

time taken by Manuel = 21 t

time taken by Sara =  15 t

Let the speed of Sara is v.

Distance = speed x time

For Manuel:

d = 56 x 21 t ..... (1)

For Sara:

d = v x 15 t ..... (2)

From (1) and (2)

56 x 21 t = v x 15 t

v = 78.4 km/h

Answer:

2(l+b ) is the answer

Step-by-step explanation:

ok mark me as markliest

Answer:

[tex]5 \sqrt{2} [/tex]

Answer:

1/4/3÷5/9

1/4/3÷9/5

1/4/3/5

Solution :

Colored marble            Prize

     Red ----  10               20

    Blue --- 38                 10

   Green --- 26               5

P(red)  =  10/74  =  5/37

P(blue)  =  38/74  =  19/37

P( green)  = 26/74  =  13/37

Therefore,

 X      →     Red          Blue      Green

P(X)           5/37        19/37      13/37

The expected values are :

[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]

= -4.189

Thus it is not profitable to play the game.

Answer:

2/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 7 -5)/(9 - 4)

   = 2/5