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Someone offers to give you some money. You can choose between 15% of $1,500 or 25% of $950. Which amount should you choose?

tino4ka555 [31]

You should choose 25% of $950 as that gives the higher amount of money.

15% of $1,500 = $225

25% of $950 = $237.5

8 0

4 years ago

Read 2 more answers

Suppose that f'(4) = 3 , g'(4) = 7 , g(4) = 4 and g(x) not= to 4 for xnot= to 4 . then cmpute lim xgose to 4 f(g(x))/x-4-f(4)/x-

Rus_ich [418]

It looks like the limit you want to compute is

$\displaystyle \lim_{x\to4} \frac{f(g(x)) - f(4)}{x-4}$

Since $g(4)=4$ , this limit corresponds exactly to the derivative of $(f\circ g)(x) = f(g(x))$ at $x=4$ . Recall that

$f'(a) = \displaystyle \lim_{x\to a} \frac{f(x) - f(a)}{x - a}$

By the chain rule,

$(f\circ g)'(4) = f'(g(4)) \times g'(4) = f'(4) \times g'(4) = 3\times7 = \boxed{21}$

Since $g'(4)$ exists, $g$ is differentiable at $x=4$ so it must be continuous.

4 0

2 years ago

Please solve these with the full explained answer

statuscvo [17]

ANSWER TO QUESTION 1

The given equation is

$4x+10=-26$

We add the additive inverse of $10$ which is $-10$ to both sides of the equation to obtain,

$4x+10+-10=-26+-10$

This gives us,

$4x+10-10=-26-10$

$4x+0=-36$

This further simplifies to

$4x=-36$

We divide both sides $4$ to obtain,

$x=-4$

ANSWER TO QUESTION 2

Since we got $-4$ as answer to question one, the next question to answer is

$\frac{x}{3}+10=15$

We add the additive inverse of $10$ which is $-10$ to both sides to obtain,

$\frac{x}{3}+10+-10=15+-10$

This gives us,

$\frac{x}{3}+10-10=15-10$

This simplifies to

$\frac{x}{3}+0=5$

$\frac{x}{3}=5$

We now multiply both sides of the equation by $3$ to obtain,

$3\times \frac{x}{3}=5\times3$

This implies that,

$x=15$

ANSWER TO QUESTION 3

The next equation is $9-2x=35$

We add the additive inverse of $9$ which is $-9$ to both sides of the equation to obtain,

$9+-9-2x=35+-9$

This gives us,

$9-9-2x=35-9$

This simplifies to,

$-2x=26$

We multiply both sides by the reciprocal or the multiplicative inverse of $-2$ to obtain,

$-2x\times (-\frac{1}{2})=26\times(-\frac{1}{2})$

This gives us,

$x=-13$

ANSWER TO QUESTION 4.

The next question is $\frac{2}{3}x+15=17$

We add the additive inverse of 15 to both sides of the equation to obtain,

$\frac{2}{3}x+15+-15=17+-15$

This evaluates to

$\frac{2}{3}x+0=17-15$

This implies that,

$\frac{2}{3}x=2$

We multiply both sides by the multiplicative inverse or the reciprocal of $\frac{2}{3}$

This implies that,

$x=2\times\frac{3}{2}$

$x=3$

ANSWER TO QUESTION 5

The next question to answer is $-5x-10=10$ .

We add the additive inverse of $-10$ which is $10$ to both sides of the equation to obtain,

$-5x-10+10=10+10$

This gives us,

$-5x=20$

We through by $-10$ to obtain,

$x=-4$

ANSWER TO QUESTION 6

$\frac{3}{4}x-9=27$

We add the additive inverse of $-9$ which is $9$ to both sides of the equation to obtain,

$\frac{3}{4}x-9+9=27+9$

This simplifies to;

$\frac{3}{4}x=36$

We multiply both sides of the equation by the reciprocal of $\frac{3}{4}$ to obtain,

$\frac{3}{4}x \times \frac{4}{3}=36\times \frac{4}{3}$

$x=36\times \frac{4}{3}$

$x=12\times 4$

$x=48$

ANSWER TO QUESTION 7

The next question to answer is $\frac{1}{2}x+13=9$ .

We add the additive inverse of $13$ which is $-13$ to both sides of the equation to obtain,

$\frac{1}{2}x+13+-13=9+-13$

This will evaluate to,

$\frac{1}{2}x=-4$

We now multiply both sides of the equation by $2$ to obtain,

$x=-4\times 2$

$x=-8$

ANSWER TO QUESTION 8

The last question to solve now is $\frac{x-7}{4}=-2$

We first of all multiply both sides of the equation by $4$ to obtain,

$\frac{x-7}{4} \times 4=-2\times 4$

This implies that,

$x-7=-8$

We now add the additive inverse of $-7$ which is 7 to both sides of the equation to obtain,

$x-7+7=-8+7$

This implies that

$x=-1$

3 0

4 years ago

Read 2 more answers

Tyler and Chris collect baseball cards. Tyler has 375 cards in his

likoan [24]

Answer:

Chris will need 23.5 packs (rounded 24 , i would say 24)

Step-by-step explanation:

First you need to takes 375-93= 282

then take 282 and divide by 12 since thats how many cards are in a pack.

that gives you 23.5 then just round

6 0

3 years ago

How to solve 1.x^2+x-3 2.x^2-2x+1 3.3x+4 4.-4x-8 5.2x^2+3x+8

IgorC [24]

Answer:

How to solve 1.x^2+x-3 2.x^2-2x+1 3.3x+4 4.-4x-8 5.2x^2+3x+8. sksksskdkdkakeakeake; Mathematics. Marcus scored 3/5 as many points as David soccer in a basketball game David scored 20 points

Step-by-step explanation:

How to solve 1.x^2+x-3 2.x^2-2x+1 3.3x+4 4.-4x-8 5.2x^2+3x+8. sksksskdkdkakeakeake; Mathematics. Marcus scored 3/5 as many points as David soccer in a basketball game David scored 20 points

8 0

3 years ago