Find the slope of the line tangent to the function y=6-3x at the point (5,0)

Answers

Answer 1

Answer:

-3

Step-by-step explanation:

To get the slope of the line tangent to the function y = 6 - 3x

First, we need to differentiate;

dy/dx = 0 -3x^{1-1}

dy/dx = 0 - 3x^0

dy/dx = 0 - 3

dy/dx = -3

Hence the slope of the line tangent to the function at the point is -3


Related Questions

67-2x+89/2+7-8x=0
help me please​

Answers

Answer:

x = 11.85

Step-by-step explanation:

[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]

Answer:

[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The moving company
charges extra money to move boxes weighing more than
25 pounds. Circle the packages that weigh less than 25 pounds.
Put an X on the packages that weigh more than 25 pounds.
320 ounces
480 ounces
288 ounces
368 ounces
352 ounces
432 ounces

Answers

480 ounces and 432 ounces exceed the 25 pound limit.

the rest are under 25 pounds.

1/4 x 1/6 x 1/12= What fraction did Phil eat of the pizza

Answers

Answer:

[tex] \frac{1}{288} [/tex]

Step-by-step explanation:

the 1 will always stay the same because all of them are 1's

4×6=24

24×12=288

Answer:

garage bozo

Step-by-step explanation:

If you have $100 and then lose $25 what is the percent change

Answers

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

The lost percentage is 25%

The percentage remaining is 75%

ThanksThanksHope it helps

Express 5 cm in metre and kilometre.in decimals........................

Answers

Answer:

0.05 metre

5×10^5 kilometer

1.9685

On Tuesday, 4 out of every 10 people who entered a store purchased something. If 8,800 people entered the store on Tuesday, how many people purchased something?

Answers

The correct answer is 3,520 people purchase something. Explanation: 4/10 = .4, so 8,880 x .4 = 3,520

HELP
Which equation has no real solution A. B2 + 3b = -3
B. 2c2 + 4c = 9
C. -5c2 – c= -2
D.7g +1 + 3g2 = 0

Answers

Answer:

A.

[tex] {b}^{2} + 3b - 3 = 0[/tex]

Step-by-step explanation:

[tex] {b}^{2} + 3b - 3 = 0 \\ because \: \: {b}^{2} < 4ac \\ {b}^{2} = {3}^{2} = 9 \\ 4ac = 4 \times 1 \times - 3 = - 12 \\ hence : {b}^{2} < 4ac[/tex]

In a sightseeing boat near the base of the Horseshoe Falls at Niagara Falls, a
passenger estimates the angle of elevation to the top of the falls to be 30°.
If the Horseshoe Falls are 173 feet high, what is the distance from the boat
to the base of the falls?

Answers

Answer:

299.64 ft

Step-by-step explanation:

The diagrammatic representation of the problem has been attached below :

Applying trigonometry :

We use the relation :

Tanθ = opposite / Adjacent

Tan 30 = 173 / d

0.5773502 = 173 / d

0.5773502d = 173

d = 173 / 0.5773502

d = 299.64 ft

Which product is represented by the model below

Answers

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

Then multiply

3/8*2/1=6/8

Hope that helps!

I need help on this question

Answers

Answer:

A

Step-by-step explanation:

Anna bought 3 types of fruit for a fruit salad. She paid three times as much for blueberries as for pears and $2.50 less for strawberries than for blueberries.
If The total cost was $13.25 how much did Anna spend on each type of fruit

Answers

Answer:

Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

Step-by-step explanation:

Given that Anna bought 3 types of fruit for a fruit salad, and she paid three times as much for blueberries as for pears and $ 2.50 less for strawberries than for blueberries, if the total cost was $ 13.25, to determine how much did Anna spend on each type of fruit, the following calculation must be performed:

Pears: X

Blueberries: 3X

Strawberries: 3X - 2.5

X + 3X + 3X - 2.5 = 13.25

7X = 13.25 + 2.5

X = 15.75 / 7

X = 2.25

Pears: 2.25

Blueberries: 3 x 2.25 = 6.75

Strawberries: 3 x 2.25 - 2.50 = 6.75 - 2.50 = 4.25

2.25 + 6.75 + 4.25 = 13.25

Therefore, Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

PLEASE HELP DUE IN 2 HOURS AND EXPLAIN STEP BY STEP SO I CAN EASILY UNDERSTAND PLEASE ​

Answers

They are vertical angles meaning they both have the same angle thus you can set the two equations equal to each other

9y+7 = 2y+28

Solve for y

Plug your y into one of the equations and you’ll get your angle

Write the meaning of each algebraic expression. Then, evaluate the algebraic expression for the given value.
5x - 4 If x=3

Answers

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression.

5x−4x=3

Step 1: Simplify both sides of the equation.

5x−4x=3

5x+−4x=3

(5x+−4x)=3(Combine Like Terms)

x=3

x=3

Answer:

x=3

Mary’s bedroom rug is shown below. Find the perimeter and area of the rug.

Answers

Can’t see the question

(1 point) Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 16 specimens of a particular species, 7 resprout after fire. Estimate with 99% confidence the proportion of all shrubs of this species that will resprout after fire.

Answers

Answer:

The answer is "[tex]0.45 \pm 0.18204[/tex]"

Step-by-step explanation:

For the +4 sample proportion[tex]= \frac{(7+2)}{(16+4)} = \frac{9}{20} = 0.45[/tex]

Sample percentage measurements estimated stdev

[tex]= \sqrt{\frac{[(0.45)(1-0.45)]}{[(16+4)]}}\\\\ = \sqrt{\frac{[(0.45)(0.55)]}{[(20)]}}\\\\ = \sqrt{\frac{0.2475}{20}}\\\\= \sqrt{0.012375}\\\\=0.111[/tex]

Calculating the critical z for a=0.1, two-tailed = 1.64

Calculating the confidence interval:

[tex]= 0.45 \pm 0.111 \times 1.64 \\\\= 0.45 \pm 0.18204[/tex]

PLS HELP!! need the answer asap

Answers

The answer would be C) P,D and A

If 8,a,b,27 are in geometric sequence, find the value of a and b.​

Answers

Answer:

a = 12 and b = 18

Step-by-step explanation:

Given that,

8,a,b,27 are in geometric sequence.

For a GP, the nth term is given by :

[tex]a_n=ar^{n-1}[/tex]

Put n = 4

[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\27=8\times r^3\\\\r^3=\dfrac{27}{8}\\\\r=\dfrac{3}{2}=1.5[/tex]

Put n = 2,

[tex]a_2=ar^{2-1}\\\\a=ar\\\\a=8\times 1.5\\\\a=12[/tex]

Put n = 3

[tex]a_3=ar^2\\\\=8\times 1.5^2\\\\b =18[/tex]

So, the values of a and b is 12 and 18 respectively.


HELP ASAPPPP!!!!You are making a picture frame in the craft cabin at summer camp. The frame measures 9 inches by 12
inches. You measure the diagonal and it is 17 inches Is the frame rectangular? Explain your reasoning.

Answers

Answer:

yes

Step-by-step explanation:

euhm ... did u just asked if a figure with h=9inches and b=12inches is rectangular???

Does it matter what the diagonals are etc?

if the frame has angles of 90° and it has two different lengths then it has to be rectangular. The sides of a square would have the same lengths.

The women athletes in the BIG10 Schools have a long-term graduation rate of 73%. Over the past several years, a random sample of 23 women showed that 19 graduated. Does this indicate that the population proportion of women athletes who graduate from the BIG10 is now more than 73%

Answers

Answer:

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

Step-by-step explanation:

Here,  

The null hypothesis is p = 0.73

Alternate hypothesis is p> 0.73

The level of significance = 0.10 or 10%

Sample size = 23

Sample proportion = 19/23 = 0.826

Z test statistics  

= (p’-p)/Sqrt ((p(1-p)/n))

Substituting the given values, we get –  

Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037

Thus, the P values for Z>1.037  

= 1- P(Z less than or equal to 1.037)

= 1- 0.8501

= 0.150

P-value  is greater than the  level of significance

We will accept the null hypothesis

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

45-45-90 Right Triangles! Can somebody please help me? ASAP!!

Answers

Answer:

Step-by-step explanation:

45-45-90 triangles always have the same relationships

leg = x,    hypotenuse = x√2

If you have the leg length multiply it by √2 to get the hypotenuse

hypotenuse = x,   Leg = x/√2

If you have the hypotenuse length divide it by √2 to get the leg

-----------------------

7)

leg  = 3√2 / 2

hyp =  3√2 / 2 *  √2 = 3

8)

leg = 5√2

hyp = 5√2 *√2 = 10

9)

hyp = 2

leg = 2 / √2 = √2

10)

leg = 13√2 / 2

hyp = 13√2 / 2 * √2  = 13

11)

leg = 3√3

hyp = 3√3 * √2 = 3√6

12)

leg = 12

hyp = 12√2

Find the value of x for the right triangle. Round your answer to the nearest hundredth.
450
19

Answers

Answer:

450 foe

Step-by-step explanation:

Make a line plot of the measurements in the table. Then find the fair share.
Table:
Amount of Sports drink (gallons)
1 over 4
1 over 2
1 over 3
1 over 2
1 over 4
1 over 3
1 over 3
1 over 2

Answers

Answer:

its nothing 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8 or 1/3 if you round it.

A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?

Answers

Answer:

15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

Step-by-step explanation: 15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

Item 3 Which measurement is equivalent to 1 kilometer? 10 meters 100 centimeters 1,000 meters 1,000 centimeters

Answers

Answer:

1,000 meters

Step-by-step explanation:

Can someone tell me how to give the brainliest award out. You will get it if you answer first

Answers

Answer:

you click the crown :)

Step-by-step explanation:

hope this helps!

Answer:

Just click on the words "Award Brainliest" on top of the answer of a user to a certain question of yours.

Step-by-step explanation:

Find the area of a regular polygon with 9 sides that has a side length of 12 inches and an apothem of 15 inches.​

Answers

Answer:

An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:

A = (1/2)*(Perimeter)*(Apothem)

The perimeter of the regular polygon  is just the length of one side multiplied with the number of sides. Since a polygon with   9 sides,

P = 9(15) = 135in

A = 1/2 ×135 × 12

A = 810 square inches ans

fx= ab*2÷t*2, make t the subhect of the formulae
[tex]fx = ab { }^{2} \div t {?}^{2} [/tex]

Answers

Answer:

t = √ab²/fx

Step-by-step explanation:

fx= ab*2÷t*2, make t the subject of the formulae

​Given the function

fx = ab²/t²

We are to make t the subject of the formula

fxt² = ab²

t² = ab²/fx

Take the square root of both sides

√t² = √ab²/fx

t = √ab²/fx

Hence the required value of t is √ab²/fx

What is the equivalent to 2 to the 4th power

Answers

Answer:

4 to the 2nd power is the equivalent to 2 to the 4th power

Step-by-step explanation:

2⁴ = 16 = 4²

Answer:

16

Step-by-step explanation:

2*2*2*2= 16

PLEASE HELP ASAP Use the figure to complete the following trigonometric ratios.

Answers

Answer:

[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]

Step-by-step explanation:

[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]

% of 400,000 = 100,000

Answers

Answer:

25%

Step-by-step explanation:

100,000/400,000 x 100

= 1/4 x 100

= 25%

Hence, 100,000 is 25% of 400,000

Feel free to mark this as brainliest :D

Answer:

x/100 x 400,000 = 100,000

x100                            x100

400,000x = 10,000,000

Divide by 400,000 on both sides:

X = 25%

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