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Eduardwww [97]
3 years ago
9

Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.

Mathematics
1 answer:
murzikaleks [220]3 years ago
5 0

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

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3[–x + (2 x + 1)] = x – 1
photoshop1234 [79]

Answer:

<h3>x = -2</h3>

Step-by-step explanation:

3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\

Collect like terms

3x -x =-1-3

Add similar elements

2x = -4\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{-4}{2}\\\\Simplify\\\\x = -2

3 0
3 years ago
The range for the set of data represented by the following box-and-whisker plot is 8.
DIA [1.3K]

Answer:

  • True

Step-by-step explanation:

<u>The range is the difference between the lowest and the highest values of the set:</u>

  • 19 - 11 = 8

The answer is TRUE

3 0
3 years ago
Read 2 more answers
There is 5/6 of an apple pie left from dinner.Tomorrow,Victor plans to eat 1/6 of the pie that was left.How much of the whole pi
kow [346]

Answer:

1=2/3 reduced or 4/6 full

2=8/3


Step-by-step explanation:


4 0
4 years ago
Last year at a certain high school, there were 75 boys on the honor roll and 50 girls on the honor roll. This year, the number o
Fantom [35]

In linear equation, 15.2% did the total number of students on the honor roll decrease.

What in mathematics is a linear equation?

  • A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
  • Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

50 × 24% = 12

50 × 14%= 7

12+ 7 = 19

50+75 = 125

19 ÷125= 15.2%

Learn more about linear equation

brainly.com/question/11897796

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8 0
1 year ago
Solve, using the substitution method.
ss7ja [257]

Answer:

(-6,-5)

Step-by-step explanation:

X+y=-11

solve for x

x=-11-y

substiute x value into 2nd equation

2x-3y=3

2(-11-y)-3y=3

-22-2y-3y=3

-5y=25

y=-5

substitute -5 for y in either equation to find x

x+y=-11

x+-5=-11

x=-6

8 0
3 years ago
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