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What is the sign of
-4ab when
a > 0 and
b < 0 ?
Choose 1 answer:
A Positive
(B) Negative
(c) Zero

What is the sign of $-4 a b$ when $a>0$ and $b<0$ ? $\newline$ Choose $1$ answer: $\newline$ (A) Positive $\newline$ (B) Negative $\newline$ (c) Zero

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Inverses of sin, cos, and tan: degrees

Full solution

Q. What is the sign of

-4 a b

when

a>0

and

b<0

?

\newline

Choose

1

answer:

\newline

(A) Positive

\newline

(B) Negative

\newline

(c) Zero

Check positivity of $a$ : Since $a > 0$ , $a$ is positive.
Check negativity of $b$ : Since $b < 0$ , $b$ is negative.
Multiply positive and negative numbers: Multiplying a positive number by a negative number gives a negative result.
Determine sign of $-4ab$ : Therefore, $-4ab$ is negative because $-4$ is negative, $a$ is positive, and $b$ is negative. Negative times positive times negative is negative.

More problems from Inverses of sin, cos, and tan: degrees

Question

Marco's class is painting a mural on the side of their school. The mural covers a

3 \frac{1}{2} \mathrm{~m}

high, rectangular wall. It has an area of

28 \mathrm{~m}^{2}

\newline

What is the length of the mural?

\newline

Posted 4 months ago

Question

A cup of hot coffee has been left to cool in a room with an ambient temperature of

21^{\circ} \mathrm{C}

\newline

The relationship between the elapsed time,

m

, in minutes, since the coffee was left to cool, and the temperature of the coffee,

T

{ }^{\circ} \mathrm{C}

, is modeled by the following function.

\newline

T(m)=21+74 \cdot 10^{-0.03 m}

\newline

What will the temperature of the coffee be after

10

\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

{ }^{\circ} C

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Question

Takumi plants a tree in his backyard and studies how the number of branches grows over time.

\newline

He predicts that the relationship between

N

, the number of branches on the tree, and

t

, the elapsed time, in years, since the tree was planted can be modeled by the following equation.

\newline

N=5 \cdot 10^{0.3 t}

\newline

According to Takumi's model, in how many years will the tree have

100

\newline

Give an exact answer expressed as a base

-10

\newline

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Question

g(x)=2^{x}

\newline

Can we use the mean value theorem to say the equation

g^{\prime}(x)=16

has a solution where

3<x<5

\newline

1

\newline

(A) No, since the function is not differentiable on that interval.

\newline

(B) No, since the average rate of change of

g

over the interval

3 \leq x \leq 5

1 \overline{6}

\newline

(C) Yes, both conditions for using the mean value theorem have been met.

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Question

\frac{d y}{d t}=2 t+3 \text { and } y(1)=6

\newline

t

y=0

\newline

Choose all answers that apply:

\newline

t=-1

\newline

t=-3

\newline

t=0

\newline

t=-4

\newline

t=1

\newline

t=-2

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\frac{d}{d x}\left(x^{\frac{3}{4}}\right)=

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y=x^{13}

\newline

\frac{d y}{d x}=

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