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3 years ago

Find the 45th term of the arithmetic sequence: −9, −2, 5, 12, ...

Mathematics

2 answers:

Nat2105 [25]3 years ago

3 0

You’ll get your answer by adding +7 to each number.

Gennadij [26K]3 years ago

3 0

Answer:

292

I hope this helps!

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Suzie solved a linear equation for y. This equivalent equation was her result. y = 7x + 23 Which equations could have been the l

Alika [10]

Answer:

2, 3, 5

Step-by-step explanation:

The question asking for the linear equation Suzie manipulated. The answer should be equal to the starting equation. So, we just need to manipulate the option to y= mx + c format.

1. y + 7x = 23

y= -7x +23 (false)

2. . –7x + y = 23

y= 7x + 23 (true)

3. 2y – 14x = 46

2y= 14x+ 46

y= 7x +23 (true)

4. y – 7x = –23

y= 7x - 23 (false)

5. 7x – y = –23

-y= -7x -23

y= 7x + 23 (true)

6 0

3 years ago

Write the converse of the conditional statement. Determine whether the converse is true or false. If it is false, find a counter

Bumek [7]

Answer:

a. is True.

Step-by-step explanation:

Collinear points are on the same line.

The converse is:

If the points are on the same line the the points are collinear. This is True.

7 0

2 years ago

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

umka21 [38]

Since we know that the graph of our quadratic function has x-intercepts at (6,0) and (18,0), $x=6$ and $x=18$ are the zeroes of our quadratic. To find our quadratic we are going to factor each zero backwards and multiply them:
$x=6$
$x-6=0$
$x=18$
$x-18=0$

$(x-6)(x-18)=x^{2}-6x-18x+108$
$=x^{2}-24x+108$

Now that we have our quadratic function, we are going to use the average formula: $m= \frac{f(9)-f(3)}{9-3}$
$where$
$f(9)$ is the function evaluated at the <span>9th month
</span> $f(3)$ is the function evaluated at the 3rd month

$m= \frac{f(9)-f(3)}{9-3}$
$m= \frac{[9^{2}-24(9)+108]-[3^{2}-24(3)+108]}{9-3}$
$m= \frac{-27-45}{6}$
$m= \frac{-72}{6}$
$m=-12$

We can conclude that the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month is: <span>B. −11.63 dollars per month.</span>