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gavmur [86]
3 years ago
14

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?

Mathematics
1 answer:
VikaD [51]3 years ago
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
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