All categories

2 years ago

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:

You might be interested in

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.

Vertex

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:

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

Final Solution

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 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