Solve 6(x - 3) + 7 = -5.

Answer:

  -1

Step-by-step explanation:

The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.

  d(log(x))/dx = 1/(x·ln(10))

  d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))

Then the ratio of these derivatives is ...

  lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x

__

At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.

  d(-sin(x)cos(x))/dx = -cos(2x)

  dx/dx = 1

so the limit is ...

  lim = -cos(2x)/1

  lim = -1 when evaluated at x=0.

_____

I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.

Answer:

No

Step-by-step explanation:

0.8=0.80

Answer:

24,880

Step-by-step explanation:

A= where P is the initial amount, r is the intrest rate as a decimal fraction, and t is the time in years. Here we have:

A= 11,000e(0.048x17) = 24,875.80

round and you get 24,880

i hope this helps

Answer:

[tex]d=18[/tex]

Step-by-step explanation:

Definition -  reduction refers to the rewriting of an expression into a simpler form

We can reduce [tex]\frac{4}{8}[/tex] to [tex]\frac{1}{2}[/tex]

Our equation is now [tex]\frac{6}{d-6} =\frac{1}{2}[/tex]

Now we can cross multiply

Definition - given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

[tex]d-6=12[/tex]

We are adding because we want our variable to be on one side of the equation

[tex]d=18[/tex]

[tex]\frac{6}{18-6} =\frac{1}{2}[/tex]

Subtract and we get

[tex]\frac{6}{12} =\frac{1}{2}[/tex]

Which makes it true

Answer:

goodmorning b

Step-by-step explanation:

Answer:

7.5?

Step-by-step explanation:

Answer:

[tex]m=4[/tex] or [tex]m=\frac{4}{1}[/tex]

Step-by-step explanation:

To find slope we use the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Two points on the line we can classify are (3,4) and (4,8)

Answer:

X~~21.98

Step-by-step explanation:

We use tangent here, as we have opposite and adjacent sides. (tan = opp/adj)

tan (20) = 8/x. Using a calculator, we get x is about 21.98

The value of y from the given coordinates and slope is; y = 11

We are given the coordinates of the 2 points as;

(-4, -3) and (3, y)

Now, formula for slope of a line with two coordinates is;

m = (y2 - y1)/(x2 - x1)

m = (y - (-3))/(3 - (-4))

m = (y + 3)/7

Slope is m = 2. Thus;

2 = (y + 3)/7

y + 3 = 2 × 7

y + 3 = 14

y = 14 - 3

y = 11

Read more at; https://brainly.com/question/16949303

Answer:

4.7 x [tex]10^{7}[/tex] miles

Step-by-step explanation:

You know Mars is further away from the sun

so the distance between earth and mars will be

1.4x[tex]10^{8}[/tex]-9.3x[tex]10^{7}[/tex]

14x[tex]10^{7}[/tex]-9.3x[tex]10^{7}[/tex]

4.7 x [tex]10^{7}[/tex] miles

Hello there! :)

30*11*11

3,630

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

Among the fractions given in this question 11/18 and 5/14,  the largest fraction is: 3/5.

To find out which fraction is the largest, just divide the numerator by the denominator of the ratio and make the comparisons between them, thus defining which is the largest by decimal places or the largest number.

[tex]\large \sf \dfrac{11}{18} \rightarrow 11\div18\rightarrow 0{,}61111111111[/tex]

[tex]\large \sf \dfrac{5}{14} \rightarrow 5\div14\rightarrow 0{,}35714285714[/tex]

We can conclude that the largest fraction, being between 11/18 and 5/14, is 11/18.

Answer:

Use the system of equations method, this is in y= form so it can be substituted or graphed. Lets do using the substitution, so substitute the second euqation into first...

y=−4x−3    y=−2x+1

-2x+1=-4x-3 substitute

-2x+4x=-3-1  move and combine like terms

2x=-4 divide

x=-2

Have a gud day!

Answer:

5 is the slope of the line

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 4 ← is in slope- intercept form

with slope m = 5

Answer:

I think it is 8

Step-by-step explanation:

I found 2020's factors and took the positive non-prime factors of it, and there were 8 of them

Step-by-step explanation:

you understand coordinates and how to find them in the chart, yes ?

because I can't draw here, I can only give you the points through which the line has to go.

one point is, of course, (2, -3).

to find another good point we use the slope 3/4.

the slope is the ratio of y change/x change when going from one point to another.

so, we find another point with integer coordinates by e.g subtracting the slope units from the point (addition would also work) :

the other point on the line would be

(2 - 4, -3 - 3) = (-2, -6)

and then you draw a line that goes through both points.

Answer:

slope is -1/2 and y- intercept is 1/3

Step-by-step explanation:

use y=mx+b

m=slope

b= y-intercept

rearrange your equation

y=1/3-1/2x

y=-1/2x+1/3

Answer:

Step-by-step explanation:

so the answer would be 8+9n≥80. The reason why is because he has $80 and he saved $8 and he earned $9 for each hour but we do not know how many hours so that is why it is n. and it says minimum so u might think that it might be ≤ but my sister says to think the opposite so the symbol will be ≥.

Hope this helps ^_^

Answer:

x can equal either 0 or 1

Step-by-step explanation:

If we look at the chart, we see that the values of 3^x = 2x+1

when x is 0 and when x is 1

so f(x) = g(x) when x = 0 or 1

Answer:

-4

Step-by-step explanation:

3 - 5 = -2

2 x -2 = -4

Remember BIDMAS (adding this because of character limit)

Answer:

13/15

Step-by-step explanation:

I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!

The value of the expression if m = 3 is 13/15

Given the expression as shown below:

If the value of m = 3, hence the expression will become;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15\

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Hence the value of the expression if m = 3 is 13/15

Learn more on equations here: https://brainly.com/question/13763238

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

Learn more about cross join here:

https://brainly.com/question/24263570

Answer:

29

Step-by-step explanation:

g(0)=3-2(0)

     = 3

f(3) = 8(3)+5

f(3) = 29

Answer:

It would take 20 chores.

Step-by-step explanation:

1 chore = $5

=> 1 x 20 = $100

=> 20 chores = $100

Therefore, it would require me 20 chores to save $100 and buy that Lego set.

Hoped this helped.

Answer:

Here it is. The table is on the first one at the bottom.

Step-by-step explanation:

Answer:

m = [tex]\frac{37}{30}[/tex] or 1.23

Step-by-step explanation:

6m + 2.3 = 9.7

6m = 9.7 - 2.3

6m = 7.4

m = [tex]\frac{37}{30}[/tex] or 1.23