Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Marina CMI [18]3 years ago

4 0

Answer:

Y=5/1 -2

Step-by-step explanation:

I dont know if u can read the answer but its 5 over 1 and thy Y-int is -2

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If x - 4 , x + 2 and 3x + 6 form a geometric sequence, find x.

Alex17521 [72]

Answer:

x =7

Step-by-step explanation:

Remark

A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 ....
Each term is multiplied by a common number and the term before it. In this case the common term is 3.
To get the next term after 9, you multiply 9 by 3.
To get the common ratio divide the second term by the first and then the third term by the second

Equation

(x + 2)/(x - 4) = (3x + 6)/ (x + 2)

Solution

I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.

(x + 2)/(x - 4) = 3(x + 2)/ (x + 2) Notice the two binomials on the right cancel.

(x + 2)/(x - 4) = 3/1 Cross multiply
(x + 2)*1 = 3*(x - 4) Remove the brackets on the right.
x + 2 = 3x - 12 Add 12 on both sides.
x + 2 + 12 = 3x - 12 + 12 Simplify
x + 14 = 3x Subtract x from both sides
14 = 3x - x
2x = 14 Divide by 2
x = 14/2
x = 7

7 0

3 years ago

The track and field coach records Ian's 400-meter race times during three practices. How much greater was the percent of change

BigorU [14]

Answer:

d. 1.5%

Step-by-step explanation:

Given - The track and field coach records Ian's 400-meter race times during three practices.

Practice 1 2 3

Time (s) 63 60 58

To find - How much greater was the percent of change from Practice 1 to Practice 2 than from Practice 2 to Practice 3? Round to the nearest tenth.

a. 7.9%

b. 4.8%

c. 3.3%

d. 1.5%

Proof -

% change from Practice 1 to Practice 2 change = $\frac{60 - 63}{63}. 100$ %