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3 years ago

A.d2=4 is true forb.2m=m+m is true forc. d+67=d+68 is true for

Mathematics

1 answer:

Rufina [12.5K]3 years ago

8 0

A. 2(2) = 4
B. 2(1)= 1+1
C. 2+ 67 = 1+ 68

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rachel received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.44 per pound. after buying th

Natasha2012 [34]

Answer:

6 pounds.

Step-by-step explanation:

70-25.36= 44.64 (the amount of money she spent)

44.64/7.44 (per pound cost)= 6

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3 years ago

Read 2 more answers

Q8 Q3.) Solve the system by the substitution method.

inn [45]

Recall that $(x+y)^2=x^2+2xy+y^2$ . So we can add twice the first equation to the second one to get

$x^2+y^2+2xy=10+2\cdot3\iff(x+y)^2=16\implies x+y=\pm4$

Since $xy=3$ , we have $y=\dfrac3x$ $(x\neq0)$ so

$x+y=x+\dfrac3x=\pm4\implies x^2\mp4x+3=0$

If $x+y=4$ , then

$x^2-4x+3=(x-3)(x-1)=0\implies x=3,x=1\implies y=1,y=3$

If $x+y=-4$ , then

$x^2+4x+3=(x+1)(x+3)=0\implies x=-1,x=-3\implies y=-3,y=-1$

So the solution set is

$(x,y)\in\{(-3,1),(1,3),(-1,-3),(-3,-1)\}$

3 0

3 years ago

I need help pls thank you and I'll send better pics

kakasveta [241]

$\begin{gathered} c)\text{ output = (input}\times\text{ input) }+\text{ 1} \\ d)\text{ output = input + 5} \end{gathered}$

Explanation:

$\begin{gathered} c)\text{ Change in input = 4 - 3 , 3 - 2, 2 -1 } \\ \text{change in input = 1 (it is constant )} \\ \text{The output depends on the input.} \end{gathered}$ $\begin{gathered} To\text{ get output 2: (1 }\times1\text{ )+ 1 = 1 +1 = 2} \\ To\text{ get output 5: (2}\times2)\text{ + 1 = 4 + 1 = 5} \\ To\text{ get output 10: (3}\times3)\text{ + 1 = 9 + 1 = 10} \\ To\text{ get output 17: (4}\times4)\text{ + 1 = 16 + 1 = 17} \\ To\text{ get output 26: (5}\times5)\text{ + 1 = 25 + 1 = 26} \end{gathered}$ $\begin{gathered} \text{Formula for the Process = (input}\times\text{ input) }+\text{ 1} \\ Process=(input)^2\text{ }+\text{ 1} \\ \text{output = (input}\times\text{ input) }+\text{ 1} \end{gathered}$

$\begin{gathered} d)\text{ rate of change = }\frac{change\text{ in output }}{\text{change in input}} \\ \text{rate of change = }\frac{-5-(-15)}{0-(-2)}\text{ = }\frac{10-(-5)}{3-0}\text{ = }\frac{15-10}{4-3} \\ \text{rate of change = }\frac{10}{2}\text{ = }\frac{15}{3}=\frac{5}{1} \\ \text{rate of change = 5} \end{gathered}$ $\text{output = input + 5}$

5 0

1 year ago

Of a classroom filled with 20 students, 2 will be selected to stay after school and correct homework for extra credit. How

Tcecarenko [31]

Answer: 10

Step-by-step explanation:

20/2=10

pairs of two

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3 years ago

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5(x+2)=20 explain step by step

garri49 [273]

Divide by 5 each side
X+2=4
Subtract 2 from each side
X=2

5(2+2)=20
Does work

In algebra when isolating (leaving alone on one side) x, you do the opposite operation, thus multiplying when you are trying to get rid of a division and vice versa

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3 years ago