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pentagon [3]
2 years ago
6

Combine the like terms to create an equivalent expression:2r+1+(−4r)+7

Mathematics
1 answer:
STatiana [176]2 years ago
3 0

Answer:

2r+1+(-4r)+7

= -2r+8

= -2(r+4)

Step-by-step explanation:

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The planning committee at school has 10 members. Exactly four of these members are teachers. A four-person subcommittee with at
Kipish [7]

Answer:

865

Step-by-step explanation: The set of possibilities are:

Subcommittee  is of 4 people according to:

4  teachers    0 other member       total possibilities    1

3  teachers     1     teachers  C₄,₃  = 4   and  other member  6    6*4   =  24

2 teachers     2      C₄,₂  =  4!/2!  = 12    2 (om)    and  C₆,₂   =  6!/4!  = 30

30*12  = 360

1  teacher        3     (om)               4         and  C₆,₃ = 6!/3!   =  120

120*4  = 480

Total ways of committee    1  + 24  + 360 +  480  = 865

4 0
2 years ago
Mia needs to bring ar least 25 pieces of fruit to the school picnic. She suggested both apples and oranges and was told to be su
SOVA2 [1]
I think  x + y ≥ 25, x ≥ 10, y ≥ 0
7 0
3 years ago
Read 2 more answers
Find the domain over which the function y = x + 6x is monotonic increasing.
iragen [17]

Answer:

x > -3

\sf (-3, \infty)

Step-by-step explanation:

Domain: input values (x-values)

Monotonic increasing:  always increasing.  
A function is increasing when its graph rises from left to right.

The graph of a quadratic function is a parabola.  If the leading term is positive, the parabola opens upwards.  The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.

<u>Vertex</u>

Standard form of quadratic equation:  \sf y=ax^2+bx+c

\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}

Given function:

\sf y=x^2+6x

Therefore, x-value of function's vertex:

\sf \implies x= -\dfrac{6}{2}=-3

<u>Final Solution</u>

The function is increasing when x > -3

\sf (-3, \infty)

4 0
2 years ago
What is the sum of the finite arithmetic series?
mariarad [96]

The underlying arithmetic progression is

-15, 0, 15, 30, ...

starting with a_1=-15 and with a common difference of d=15 between terms. Recursively, this sequence is given by

\begin{cases}a_1=-15\\a_n=a_{n-1}+15&\text{for }n>1\end{cases}

So we have

a_2=a_1+15

a_3=a_2+15=a_1+15\cdot2

a_4=a_3+15=a_1+15\cdot3

and so on, so that the explicit rule for the sequence is

a_n=a_1+15(n-1)=15n-30

for n\ge1.

The series consists of 15 terms, since

195=15n-30\implies15n=225\implies n=15

So we have

-15+0+15+\cdots+195=\displaystyle\sum_{n=1}^{15}(15n-30)=15\cdot\frac{15\cdot16}2-30\cdot15=1350

and the answer would be B.

4 0
3 years ago
How to solve 5x-4y=7 <br> 2y+6x=22 as a system of equations
ira [324]

Step-by-step explanation:

you subtract -4 by 7.

then you hav 5x=7

you divide 5x by 5 and seven by five so your x= that answer

then you put that number into the x in the second equtaion

then you subtract that number after multiplying the 6 by the number x equals

then you divide 2y by 2 and 22 by 2 and thats your y value

5 0
3 years ago
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