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1 year ago

4p + 3c and (c+2p)(2)

Mathematics

1 answer:

Tatiana [17]1 year ago

6 0

$\begin{gathered} 4p+3c=(c+2p)(2) \\ 4p+3c=2c+4p \\ 4p+3c-4p=2c+4p-4p \\ 3c\ne2c \\ \end{gathered}$

since 3c is not equal to 2c, this means that the expressions are not equal

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Emilio’s family volunteers at the local soup

Mice21 [21]

Answer:

Emilio will have both activities again on the same day after 90 days from this Saturday.

Step-by-step explanation:

To solve this question list the multiples of 30 and 9 to find the first common multiple because the two activities will happen again in a number divisible by both 30 and 9.

∵ The multiples of 30 are: 30, 60, 90, 120, ............

∵ The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, .....

→ The common multiple is 90

∴ The common multiple of 30 and 9 is 90

→ That means the activities will meet again after 90 days from

this Saturday

Emilio will have both activities again on the same day after 90 days from this Saturday.

8 0

3 years ago

Write the contrapositive and the converse of the following conditional

Lunna [17]

The contrapositive statement are:

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The converse statement are:

If the late is frozen, then it is cold.
If Solomon is happy, then he is healthy.
If Tigist Tigist does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

Learn more about contrapositive statement from

brainly.com/question/1713053

#SPJ1

6 0

2 years ago

Read 2 more answers

Write the equation of the line in fully simplified slope-intercept form.

Bad White [126]

Answer:

$y = -\frac{2}{5} x-6$

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula $m =\frac{y_2-y_1}{x_2-x_1}$ . Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

$m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\$

So, the slope of the line is $-\frac{2}{5}$ .

2) Next, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the $m$ , $x_1$ and $y_1$ into the formula.

Since $m$ represents the slope, substitute $-\frac{2}{5}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

$y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6$

6 0

3 years ago

Choose all the functions that give the sequence:

TEA [102]

Hence, the functions that produce given sequence are:

f(n) = 2n + 1

f(n) = 2(n − 1) + 3

Further explanation:

We will put n=1,2,3,4,5 to find which functions give the given sequence

f(n) = 2n − 1

Putting values of n

$f(1)=2(1)-1=2-1=1\\f(2)=2(2)-1=4-1=3\\f(3)=2(3)-1=6-1=5$

This function doesn't generate the given sequence

f(n) = 2n + 1

Putting values of n

$f(1)=2(1)+1=2+1=3\\f(2)=2(2)+1=4+1=5\\f(3)=2(3)+1=6+1=7\\f(4)=2(4)+1=8+1=9\\f(5)=2(5)+1=10+1=11$

This function generates the given sequence.

f(n) = 2(n − 1) − 3

Putting values of n

$f(1) = 2(1 -1) -3=2(0)-3=0-3=-3\\f(2) = 2(2 -1) -3=2(1)-3=2-3=-1\\f(3) = 2(3-1) -3=2(2)-3=4-3=1$

This function doesn't generate the given sequence

f(n) = 2(n − 1) + 3

Putting values of n

$f(1) = 2(1 - 1) + 3=2(0)+3=0+3=3\\f(2) = 2(2 - 1) + 3=2(1)+3=2+3=5\\f(3) = 2(3 - 1) + 3=2(2)+3=4+3=7\\f(4) = 2(4 - 1) + 3=2(3)+3=6+3=9$

Hence, the functions that produce given sequence are:

f(n) = 2n + 1

f(n) = 2(n − 1) + 3

Keywords: Functions, Sequence

Learn more about functions at:

#LearnwithBrainly

8 0

3 years ago

6x -2x3 + 10x+2x3+7x4 simply

zmey [24]

$(((6x-(2*(x3)))+10x)+(2*(x3)))+7x4 \\ \\ Then \ we \ simplify \ it \ down \ more. \\ \\ (((6x-(2*(x^3)))+10x)+2x^3)+7x^4 \\ \\ then \ we \ would \ then \ pull \ out \ the \ like \ factors . . . . \\ \\ 7x^4 + 16x = x * (7x^3 + 16) \\ \\$

Your final answer: $\boxed{\bf{ x *(7x^3 + 16)}}$

4 0

3 years ago

Read 2 more answers