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sergejj [24]
3 years ago
9

The sum of three numbers is 107 . The first number is 8 less than the third . The second number is 3 times the third . What are

the numbers ?
Mathematics
2 answers:
tresset_1 [31]3 years ago
7 0
First number = x
Third number = x - 7
Second number = 2(x - 7)
x + 2(x - 7) + x - 7 = 107
x + 2x - 14 + x - 7 = 107
Collect like terms.
4x - 21 = 107
4x = 128
x = 32
First number = 32
Second number = 50
Third number = 25
Total = 107.
Elza [17]3 years ago
3 0

Answer:

(x - 8) + 3x + x = 107

x - 8 + 3x + x = 107

5x - 8 = 107

5x = 115

x = 23, SO...

The first number is 23-8, which is 15

The second number is 3 x 23, which is 69

The third number is 23

15 + 69 + 23 = 107 CHECK!

Step-by-step explanation:

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3 years ago
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
LuckyWell [14K]

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero.  This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

5 0
3 years ago
Two standard 6 sided dice are rolled. One is purple and one is green. What is the probability that sum of the two dice on a roll
lana [24]

Answer:

1/6

Step-by-step explanation:

As the purple die has already rolled and the number landed is 6, to find the probability of the sum of the dice being 7, there is only one option for the yellow die:

purple result + yellow result = 7

6 + yellow result = 7

yellow result = 1

So the yellow die needs to roll a 1, over a total of 6 possibilities, so the probability is 1/6

5 0
3 years ago
What is the measure of angle Z in the parallelogram shown?
Anarel [89]

Answer:

30 Degress

Step-by-step explanation:

8 0
3 years ago
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