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V125BC [204]
3 years ago
5

1/1

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0
1+2=3, 12 divided by 3=4 4x1=4, so there is 4 red marbles. 4x2=8 so there is 8 blue marbles. We can check this is true by adding 8+4 which =12.

blue=8
red=4
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the sum of the reciprocals of two consecutive even integers is 9/40. this can be represented by the equation shown 1/x + 1/(x+2)
Ivanshal [37]

Answer:

  8, 10

Step-by-step explanation:

Multiplying the equation by the product of the denominators, we have ...

  40(x+2) +40x = 9x(x+2)

  80x +80 = 9x^2 +18x . . . . eliminate parentheses

  9x^2 -62x -80 = 0 . . . . . . put in standard form

  9x^2 -72x +10x -80 = 0 . . . prepare to factor by grouping

  9x(x -8) +10(x -8) = 0 . . . . . factor pairs of terms

  (9x +10)(x -8) = 0

Solutions are ...

  x = -10/9  and  x = 8

The integers are 8 and 10.

_____

<em>Comment on the attachment</em>

I find a graphing calculator to be a nice tool for solving these. It finds zeros easily, so writing the equation so it equals zero is a useful first step.

5 0
4 years ago
4:3=x:6, find the value of x please help me
natima [27]

Answer:

x=8

Step-by-step explanation:

4:3=x:6

Multiply the first set by 2

4*2 : 3*2

8:6

That means x =8

7 0
4 years ago
Match the graph with its equation.
hram777 [196]
The equation to this is A 5X+4Y=-20
5 0
3 years ago
Determine the quadratic equation in standard form of a parabola with a zero at x=5 and vertex ar (-3, 32). start with factored f
elena-s [515]

Answer:

see image...

start with Graphing Form: y = a(x-h)²+ k

knowing that h is the x value (negative of it)  of the vertex , and k is the y value of the vertex

Graphing Form Equation: y =  a(x+3)²+32

you are also given that when the x value is 5 the y value has to be 0

0 = a(4)^2 + 32

a has to be - 1/2    

   

Step-by-step explanation:

8 0
3 years ago
(07.03 LC) Which statement is true about the solutions for the equation 5y + 8 = −2? It has no solution. It has one solution. It
Vinvika [58]

Good evening ,

______

Answer:

It has one solution = -2.

___________________

Step-by-step explanation:

5y + 8 = −2 ⇔ 5y = -8 -2 = -10 ⇔ y = -10/5 ⇔ y = -2.

:)

5 0
3 years ago
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