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3 years ago

QUESTION 2Simplify the followinga5×a7

Mathematics

2 answers:

sergij07 [2.7K]3 years ago

7 0

A5xa7 simplified is a12x

Kryger [21]3 years ago

6 0

Answer:

$a^{12}$

Step-by-step explanation:

<em><u>Identity Used </u></em>: $a^x \times a^y = a^{x+ y}$

$a^5 \times a^7 = a^{5 + 7} = a^{12}$

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I need help with this problem.

sdas [7]

Answer:

$\text{4}\quad -3x^{-1}+x^{-2}$

Step-by-step explanation:

The answer choices suggest there is a common factor of (x+2) that can be removed from numerator and denominator.

The denominator factors as ...

$x^3+2x^2=x^2(x+2)$

The numerator obviously has no factors of x. We can try any of several means to determine if (x+2) is a factor. I tried synthetic division and found that the numerator can be written as ...

$-3x^2-5x+2=(-3x+1)(x+2)$

Then the expression simplifies to ...

$\dfrac{-3x^2-5x+2}{x^3+2x^2}=\dfrac{(-3x+1)(x+2)}{x^2(x+2)}\\\\=\dfrac{-3x+1}{x^2}=\dfrac{-3x}{x^2}+\dfrac{1}{x^2}=-3x^{-1}+x^{-2} \qquad\text{matches choice 4}$

4 0

3 years ago

For how many integers will 3x + 4 be greater than 44 and less<br> than 100?

N76 [4]

The integer values in 3x + 4 be greater than 44 and less

than 100 is 17

<h3>Solving the inequality</h3>

<u>Given data</u>

3x + 4 > 44

3x + 4 < 100

solution

3x + 4 > 44

3x > 44 - 4

3x > 40

x > 13.333

for integer greater than 40 we have

x = 14, 15, 16,.....

3x + 4 < 100

3x < 100 - 4

3x < 96

x < 32 hence x is from 31 down

x = 31, 30, 29,....

so this is x takes value from 14 to 31 which is 17 values

hence the integer values in 3x + 4 be greater than 44 and less

than 100 is 17

Read more on inequalities here: brainly.com/question/24372553

#SPJ1

7 0

2 years ago

A math class has 3 girls and 9 boys in the seventh grade and 7 girls and 3 boys in the eighth grade. The teacher randomly select

vladimir1956 [14]

Answer:

7/40

Step-by-step explanation:

There are 3 girls+9 boys = 12 students in the 7th grade

P (girl in 7th grade) = girls/ total

= 3/12 = 1/4

There are 7 girls+3 boys = 10 students in the 8th grade

P (girl in 8th grade) = girls/ total

= 7/10

P(7th grade girl, 8th grade girl) = 1/4 * 7/10 = 7/40

8 0

3 years ago

The sum of ages of a mother and daughter is 45 years. Five years ago, the product of their ages was four times the mother's age

icang [17]

Answer: the answer is 36

Step-by-step explanation:

we can solve this using an algebra equation

so first from the world problem, we can tell that mother and daughter's ages added together is 45 we can represent this by saying x (mother's age), plus y (daughter's age) is 45.

(x+y)=45

Then we from the problem we know that 5 years ago the product of their ages is four times the mother's age at that time. From this, we can write

(x-5)*(y-5)=4*(x-5)

Then we just subtract the common denominators which is (x-5) so then the equation becomes

(y-5)=4

add 5 to both sides

y=9

Then all we do is plug the answer for y into the very first equation

x+9=45

Subtract both sides by 9

x=36

To double-check let's put the answers in the second equation

(36-5)*(9-5)=4*(x-5)

we get

(31)*(4)=4*(31)

so it's right I think

6 0

3 years ago

Which property is NOT a property of the algebraic system of polynomials?

mafiozo [28]

Answer:

Since the sum is same, the associative property of addition holds true. Therefore, it can be concluded that the grouping of numbers in any order does not change the sum. Example 6: Consider the algebraic expression, .

Step-by-step explanation:

not sure

7 0

4 years ago

QUESTION 2Simplify the followinga5×a7​

QUESTION 2Simplify the followinga5×a7