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3 years ago

The product of -3 and a number is less than or equal to -15

Mathematics

1 answer:

Alex777 [14]3 years ago

8 0

It can be 5, because 5 times -3 = -15

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5 Points

LekaFEV [45]

Answer:

1043.43

Step-by-step explanation:

6 0

3 years ago

Simplify the following expression please solve correctly −12^12 ^2 / 3^ 5 ^5

nikdorinn [45]

The simplified expression is $-\frac{48}{x^{3} y^{3}}$

Explanation:

The given expression is $\frac{-12x^{2}12y^{2} }{3x^{5} y^{5} }$

Let us simplify the expression.

Multiplying the numbers in the numerator, we have,

$\frac{-144 x^{2} y^{2}}{3 x^{5} y^{5}}$

Dividing the term 144 by 3, which results in 48.

Thus, we have,

$\frac{-48 x^{2} y^{2}}{x^{5} y^{5}}$

Applying the fraction rule $\frac{-a}{b}=-\frac{a}{b}$ , we get,

$-\frac{48 x^{2} y^{2}}{x^{5} y^{5}}$

Applying the exponent rule $\frac{x^{a}}{x^{b}}=\frac{1}{x^{b-a}}$ , we have,

$-\frac{48}{x^{3} y^{3}}$

Thus, the simplified expression is $-\frac{48}{x^{3} y^{3}}$

7 0

3 years ago

What is the GCF of 1/3 and 2/5

Semenov [28]

Answer:

The GFC of 1/3 and 2/5 is 1

7 0

3 years ago

Read 2 more answers

Y=13(2)^x is grow , decay or neither

leva [86]

Answer:

Growth

Step-by-step explanation:

Since 2 is a number greater than 1, it is exponential growth

If it the number in the parentheses were 1, it would be neither

If it were a fraction less than 1, it would be decay

7 0

3 years ago

Read 2 more answers

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

Lerok [7]

Answer:

Q1 - D. f(x) = $x^4-9x^2-50x-150$

Q13 - A. ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

Q14 - A. $7x+6+4x^{2}$

Step-by-step explanation:

Question 1:

We know that rational roots always occurs in pairs. So, the zeros of the function will be 5, -3, -1+3i, -1-3i

So, the factored form is $(x-5)(x+3)(x+1-3i)(x+1+3i)=0$

i.e. $(x^2-2x-15)(x+1-3i)(x+1+3i)=0$

i.e. $(x^3-x^2-3ix^2-17x+6ix-15+45i)(x+1+3i)=0$

i.e. $x^4-9x^2-50x-150=0$

Hence, the polynomial function is $f(x)=x^4-9x^2-50x-150$ .

Question 13:

Rational Zeros Theorem states that 'If p(x) is a polynomial with integer coefficients and if $\frac{p}{q}$ is a zero of p(x) = 0. Then, p is a factor of the constant term of p(x) and q is a factor of the leading coefficient of p(x)'.

Let, $\frac{p}{q}$ is a zero of $x^3-7x^2+9x-24=0$ . Then, p is a factor of -24 and q is a factor of 1.

Thus, possible values of p = ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24 and q = ±1

This gives, possible values of $\frac{p}{q}$ are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

Question 14:

We have, f(x) = 7x + 6 and g(x) = $4x^{2}$

Then, (f+g)(x) = f(x) + g(x) = 7x + 6 + $4x^{2}$

So, (f+g)(x) = $7x+6+4x^{2}$

6 0

4 years ago