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suter [353]
3 years ago
13

Find the first term of the following geometric sequence _____, 42, 126, 378, 1,134, ...

Mathematics
1 answer:
mamaluj [8]3 years ago
6 0
Common ratio is 126/42 = 3
The first term is 42/3 = 14
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The function A(b) relates the area of a trapezoid with a given height of 10 and
Natali5045456 [20]

The function of the trapezoid area is:

A(x)=(B+b)*h/2

Where B and b are the bases and h is the height.

With the given data: h=10 B and b =7 and x (it may vary which one is bigger)

-----------

So that function becomes:

A(x)=(7+x)*10/2

A(x)=(7+x)*5

----------

So if you want the inverse function, you have to operate to find x:

A(x)/5=7+x

A(x)/5-7=x

----------

So the new function is:

x(A)=A/5-7

6 0
3 years ago
Pat created a scatter plot and drew a line of best fit, as shown.
Hunter-Best [27]
<h3>Answer:  Choice D</h3><h3>y = (-1/5)x + 7</h3>

======================================

Work Shown:

We will only focus on the two points that are on the regression line.

Those two points are (10,5) and (15,4)

Let (x1,y1) = (10,5) and (x2,y2) = (15,4)

Find the slope of the line through (x1,y1) = (10,5) and (x2,y2) = (15,4)

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

m = (4 - 5)/(15 - 10)

m = -1/5

m = -0.2

Plug m = -0.2, and  (x1,y1) = (10,5) into the point slope formula. Solve for y

y - y1 = m(x - x1)

y - 5 = -0.2(x - 10)

y - 5 = -0.2*x - 0.2*(-10) ... distribute

y - 5 = -0.2*x + 2

y - 5+5 = -0.2*x + 2 + 5 ... add 5 to both sides

y = -0.2*x + 7

y = (-1/5)*x + 7 .... convert -0.2 to -1/5

The equation y = (-1/5)x + 7 is in the form y = mx+b with m = -1/5 = -0.2 as the slope and b = 7 as the y intercept. The y intercept is where the graph crosses the vertical y axis. More specifically, the location of the y intercept in this case is at the point (0,7).

4 0
3 years ago
select yes or no to indicate if a rectangle with the given dimensions whould have a perimeter of 50 inches
umka21 [38]
1a) no it would be 54

1b) yes

1c) yes

1d) no it would be 40

1e) yes



hope this helped
8 0
3 years ago
How can you write 200,000 using a whole number and a power of 10
jeka94

Hey!

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

Question Explanation:

In other words you can write 200,00 using a whole number and a power 10 using scientific notation!

In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.

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

Solution:

200,000 / 10 = 20,000

20,000 / 10 = 2,000

2,000 / 10 = 200

200 / 10 = 20

20 / 10 = 2

I divided 200,000 by 10 five times to get a number less than 10.

So, 5 is going to be the exponent.

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

Answer:

2 x 10^5

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

Hope This Helped! Good Luck!

5 0
3 years ago
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of m
madam [21]

Answer:

Step-by-step explanation:

17 x 0.75 =12.75

12.75 + 1.25= 14

3 0
3 years ago
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