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1 year ago

What is the common difference between the elements of the arithmetic sequence below?

2 answers:

8 0

In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. The common difference would be calculated as follows:


–36 - –31.5 = - 4.5
–27 - –22.5 = -4.5

Therefore, the common difference is -4.5.

fredd [130]1 year ago

3 0

All numbers in each number add up to 9, i dont know if you understand me,
for example:
1+8=9
2+2+5=9
2+7=9
.....

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2 years ago

Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options. m = Sta

marishachu [46]

Answer:

1) m = negative StartFraction 10 over 4 EndFraction

2) m = negative five-halves

3) m = $-\frac{7}{4} - \frac{3}{4}$

Step-by-step explanation:

The given equation is:

=> $\frac{3}{4} +m = -\frac{7}{4}$

Subtracting 3/4 to both sides

=> m = $-\frac{7}{4} - \frac{3}{4}$

=> m = $\frac{-10}{4}$

=> m = $-\frac{5}{2}$

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1 year ago

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On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches

Gala2k [10]

Answer:

$g(x)=6(3)^x$

Step-by-step explanation:

We are given that

$f(x)=6(\frac{1}{3})^x$

Function f decreases from quadrant 2 to quadrant 1 and approaches y=0

It cut the y- axis at (0,6) and passing through the point (1,2).

Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.

It passing through the point (-1,2) and cut the y-axis at point (0,6).

Reflection across y- axis:

Rule of transformation is given by

$(x,y)\rightarrow (-x,y)$

Using the rule then we get

$g(x)=6(\frac{1}{3})^{-x}=6(3)^x$

By using

$x^{-a}=\frac{1}{x^a}$

Substitute x=-1

$g(-1)=6\times (\frac{1}{3})=2$

Substitute x=0

$g(0)=6$

Therefore, $g(x)=6(3)^x$ is true.

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1 year ago

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Answer:

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2 years ago

Solve the inequality 47.75 + x Less-than-or-equal-to 50 to determine how much more weight can be added to Li's suitcase without

myrzilka [38]

Answer:

x is less-than-or-equal-to 2.25 (x ≤ 2.25)

Step-by-step explanation:

We can write down the inequality that represents the weight Li can add without going over the 50 pound limit:

47.75 + x ≤ 50

If we solve for x we have:

47.75 + x ≤ 50

x ≤ 50 - 47.75

x ≤ 2.25

Therefore, the weight Li can add to the suitcase is less-than-or-equal-to 2.25

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1 year ago

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