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Morgarella [4.7K]
3 years ago
7

Write the product using exponents. (−12)⋅(−12)⋅(−12)

Mathematics
2 answers:
rodikova [14]3 years ago
8 0

Answer:

-12^3

hope this helps

have a good day :)

Step-by-step explanation:

astraxan [27]3 years ago
4 0

Answer:

Step-by-step explanation:

(-12)^1+1+1

-12^3

In multiplication if base are same we can add their exponent(power).

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Which linear inequality is represented by the graph?
Tamiku [17]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept

Slope of a line passing through (x_1, y_1) and (x_2,y_2) is,

m = \frac{y_2-y_1}{x_2-x_1}

For the given points,

m = \frac{1+3}{3+3}

m = \frac{2}{3}

y-intercept 'b' = -1

Therefore, equation of the given line will be,

y=\frac{2}{3}x-1

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)

And the shaded part is below the dotted line,

Inequality will be,

y < \frac{2}{3}x-1

Therefore, Option (4) will be the answer.

7 0
3 years ago
Write the inverse function, <br> f^-1 (x), for the function <br> f (x) = 2x + 3
cricket20 [7]

f(x) = 2x + 3

y = 2x + 3

Subtract the sides of the equation minus 3

y - 3 = 2x

Divided the sides of the equation by 2

\frac{y - 3}{2} = x \\

So ;

{f}^{ - 1}(x) =  \frac{x - 3}{2} \\

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

6 0
3 years ago
In how many ways can a quality-control engineer select a sample of3 transistors for testing frm a batch of 100 transistors?
Advocard [28]

Answer:

161700 ways.

Step-by-step explanation:

The order in which the transistors are chosen is not important. This means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

3 transistors from a set of 100. So

C_{100,3} = \frac{100!}{3!(100-3)!} = 161700

So 161700 ways.

6 0
3 years ago
Identify the trinomial that is a perfect square. 81x^2 − 70x 16 64x^2 − 90x 25 81x^2 − 72x 16 64x^2 − 70x 25
Vilka [71]
Hmm
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2

basically
for
ax^2+bx+c
it is a perfect trinomial when
b=2(√a)(√c)
remember to take both positive and negative roots into consideration
because
(a+b)^2=a^2+2ab+b^2 and
(a-b)^2=a^2-2ab+b^2

see each

first one
-70=2(9)(4)
-70=72
false

second
-90=2(8)(5)
-90=80
false

third
-72=(9)(4)
-72=72
false
but, the last one could be negative
(9x-4)^2 is factor
that is the answer


the answer is 81x^2-72x+16
5 0
3 years ago
Help me out:)i need an answer as soon as possible!!!
kifflom [539]
Answer is c , got it right
5 0
3 years ago
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