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3 years ago

The 80th term of an arithmetic sequence is twice the 30th term. If the first term of the sequence is 7, what is the 40th term?

1 answer:

8 0

It seems that "d" or the common difference is a number that makes the sequence go into the larger positive realm of numbers. Therefore, 2*(7+30d)=7+80d. d=35/100. Now just do 7 + 40(35/100) = 21. 21 is your answer!

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- Yesterday Billy earned $30 trimming

horsena [70]

10x8=80 dollars that day
80+30=$110

Hope this helps!! Have a good day

5 0

3 years ago

What is the measure of angle x? Help me plzzzz

Svetllana [295]

Answer:

x = 60 ∘

Explanation:

As indicated by the markings, all the sides of this triangle are equal, and therefore all the angles of this triangle must be equal as well.

Let x be an angle,

so by the triangle sum theorem, we can say that:

3 x = 180 ∘

x = 60 ∘

https://socratic.org/questions/what-is-the-measure-of-angle-x-for-the-following-triangle#637450

8 0

3 years ago

Read 2 more answers

Please help i will mark brainliest

Evgen [1.6K]

Answer:

2. $\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]$

3. $\left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]$

4. $\left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]$

Step-by-step explanation:

2. This matrix is easy, as it just requires addition.

$\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]$ + $\left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right]$ = $\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]$

3. This matrix requires for the matrices to be multiplied first, then added.

$\left[\begin{array}{ccc}9&-15&18\\-27&15&-9\\\end{array}\right]$ + $\left[\begin{array}{ccc}-12&36&42 \\12& -6 & -36 \\\end{array}\right]$ = $\left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]$

4. Here we can add the last 2 matrices to find x.

$\left[\begin{array}{ccc}2&-8\\-4&2\\\end{array}\right]$ + $\left[\begin{array}{ccc}4&-6\\2&-8 \\\end{array}\right]$ = $\left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]$

Hope this helps! (Please consider giving brainliest)

4 0

3 years ago

The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=

fredd [130]

Answer:

(a) g(x) has a greater slope

(b) g(x) has a greater y intercept

Step-by-step explanation:

Given

$x \to -1,0,1$

$f(x) \to -5,-1,3$

$g(x) = 4x + 3$

Solving (a): Compare the slopes

Slope (m) is calculated as:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

So, for f(x), we have:

$m =\frac{-1- 0}{-5- -1}$

$m =\frac{-1}{-4}$

$m =\frac{1}{4}$

For g(x), we have:

Assume $g(x) = mx + c$ then the slope is m

Compare the above to $g(x) = 4x + 3$

Then the slope of g(x) is 4

g(x) has a greater slope

Solving (b): Function with greater y intercept

Here we set $x= 0$

From the table of f(x)

$f(x) = -1$ when $x = 0$

From $g(x) = 4x + 3$

$g(0) = 4 * 0 + 3$

$g(0) = 3$

Hence:

g(x) has a greater y intercept

3 0

3 years ago

If f(x)=6x and g(x)=4x+1, find (f o g)(x)

salantis [7]

$\bf \begin{cases}
f(x)=6x\\
g(x)=4x+1\\
(f\circ g)(x)=f(~~g(x)~~)
\end{cases}
\\\\\\
f(~~g(x)~~)=6[g(x)]\implies f(~~g(x)~~)=6[4x+1]
\\\\\\
f(~~g(x)~~)=24x+6$

8 0

4 years ago