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timama [110]
3 years ago
12

Which expression is equivalent to 4^ 5x4^ -7÷4 ^-2?

Mathematics
2 answers:
lisov135 [29]3 years ago
7 0

Answer:

4^0

Step-by-step explanation:

it equals 1

Andre45 [30]3 years ago
5 0

\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad  a^n\implies \cfrac{1}{a^{-n}}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 4^5\cdot 4^{-7}\div 4^{-2}\implies \cfrac{4^5\cdot 4^{-7}}{4^{-2}}\implies \cfrac{4^{5-7}}{4^{-2}}\implies \cfrac{4^{-2}}{4^{-2}}\implies 4^{-2}\cdot 4^2 \\\\\\ 4^{-2+2}\implies \boxed{4^0}\implies 1

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Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions
forsale [732]

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

8 0
3 years ago
Find the numerical values of -3|x|+2x-1 if x=-5. PLSSSS HELP
Kisachek [45]

Answer:

26

Step-by-step explanation:

Since x = -5, we can replace x with it's numerical -5, right? The problem tells you that x is equal to -5. So, just replace any x you see with -5.

So in this case,

-3|x|+2x-1

turns into:

-3|(-5)|+2(-5)-1

You can use a calculator or solve it by hand to see what the answer is.

-3|(-5)|+2(-5)-1\\-3(5)+2(-5)-1\\-15+(-10)-1\\-25-1\\-26

3 0
2 years ago
The winner of a 200 mile race drove his car to victory at 111.5417 mph. What was his time?
Fed [463]

200 \div 111.5417
6 0
3 years ago
Lilium Inc., an automobile company, estimates a total factory overhead cost of $1,500,000 for the year and an activity base of 2
Jobisdone [24]

Answer:

The applied factory overhead cost is $1,875,000

Step-by-step explanation:

Overhead cost = $1,500,000  at activity base of 200,000

We assume that the overhead is directly proportional to the activity base;

The cost per direct labor =  $1,500,000/200,000 = $7.5

Therefore at actual labor hours of 250,000, the factory overhead cost is therefore = $7.5 × 250000 = $1,875,000.

3 0
3 years ago
The difference of a number and nine is three. Find the number.
larisa86 [58]

Answer:

5

Step-by-step explaimation:

Let's say x is the number we are trying to find.

9 = 3*(x-2)

9 = 3x -6

3x = 15, x = 5

Please leave a heart and a thanks!

5 0
2 years ago
Read 2 more answers
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