The gradient of the curve
[tex] y = {3x}^{x2} + 11x + 7 [/tex]
at point p(x,y) is -1. Find the coirdinate of P.​

Answers

Answer 1

Answer:

Coordinate of P is (-2, -3)

Step-by-step explanation:

Gradient is the derivative of the curve:

[tex]y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11[/tex]

but dy/dx is -1 :

[tex]6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2[/tex]

substitute for x :

[tex]y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3[/tex]


Related Questions

The second side of a triangle is 3 times the first side. The third side of a triangle is 2 1/2 times the first side. If the perimeter of the triangle is 65 feet, find the length of each side.

Answers

Answer:

F=first side; S=second side=3F; T=third side=2.5F

.

F+S+T=60ft

F+3F+2.5F=60ft

6.5F=60ft

F=9.23ft

S=3F=3(9.23ft)=27.69ft.

T=2.5F=2.5(9.23)=23.08ft

.

ANSWER First side=9.23ft; Second side=27.69ft; Third side=23.08ft

Step-by-step explanation:

can u please help me with this one ASAP!

Answers

Answer:

The standard form of a quadratic equation is ax2+bx+c=0, where a,b and c are real numbers and a≠0.

Answer:

The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form.

The variable y is dependent on the variable 2. The following table represents points on the function f(s) which
represents the two variables.
y
-8-4
-4-2
0 0
4 2
8 4
2 4
Which of the following equations represents the function f(x)?
O f() =
Of(0) = -22
O f() =
O f() = 2x
search
o fim
a
f w bi

Answers

I’ve attached my work
The answer is the first one
You were close but it’s not negative as it increase in numbers
Hope this helps

Help w Geometry !!!!

Answers

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

Hi there!

We're given that angle POR measures 90 degrees. Ray OQ bisects it, meaning it splits it into two equal angles.

90 ÷ 2 = 45.

This means that each of those individual angles are 45 degrees. This means:

[tex]2x+3=45[/tex]

Solve:

[tex]2x=42\\x=21[/tex]

Therefore, x=21.

I hope this helps!

How do u do (number 30)... please list step by step...

Answers

Answer:

the screen is really blurry sorry bout that

Step-by-step explanation:

2. Is the expression 2 • 4' equal to the expression 8"? Explain your answer.

Answers

yes, this is because 2*4 equals 8

pls help me with this question. plsss​

Answers

Answer:

it has been proved it was quite difficult at statement no 4 and 5. but it has been proved.

if got any mistake and any problem regarding this question then comment it .

hope this helped you☺️

5(n-7)=2(n+14) with steps

Answers

Answer:n =21

Step-by-step explanation:

William bought snacks for his team's practice. He bought a bag of oranges for $3.02 and a 20-pack of juice bottles. The total cost before tax was $22.02. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs?

Answers

Answer:

.95

Step-by-step explanation:

JJ = (22.02 - 3.02) / 20

(22.02 - 3.02) / 20

19 / 20= $0.95

If the geometric mean of a and 34 is 6 sqrt(17) find the value of a

Answers

Using the geometric mean concept, it is found that the value of a is 18.

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

The geometric mean, of a data-set of n elements, [tex](n_1, n_2, ..., n_n)[/tex], is given by:

[tex]G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}[/tex]

That is, the nth root of the multiplication of all elements.

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

In this question:

Two elements(n = 2), a and 34.[tex]G = 6\sqrt{17}[/tex]

Thus:

[tex]\sqrt{34a} = 6\sqrt{17}[/tex]

We find the square of each side, so:

[tex](\sqrt{34a})^2 = (6\sqrt{17})^2[/tex]

[tex]34a = 36\times17[/tex]

Simplifying both sides by 17:

[tex]2a = 36[/tex]

[tex]a = \frac{36}{2}[/tex]

[tex]a = 18[/tex]

The value of a is 18.

A similar example is given at https://brainly.com/question/15010240

Alyssa bought 2 packs of football cards for $4.52 each, and a deck of Digimon Cards
for $11.47 with two $20 bills. Alyssa found $7.72 in her pocket. How much change
did Alyssa get?

Answers

Hello :D

2 x $4.52 = $9.04

$9.04 + $11.47 = $20.51

2 x $20 = $40.00

$40.00 - $20.51 = $19.49

With change:

$40.00 + $7.72 = $47.72

$47.72 - $20.51 = $27.21

5
Select the correct answer from each drop-down menu.
Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily
temperature and the number of cakes she sold on different days of the year. The table shows the data she gathered.
Daily Temperature (°F) Cakes Sold
42
39
45
52
48
31
54
61
59
72
62
35
64
61
65
34
67
58
75
45
84
24
The correlation coefficient is close to
Based on this information, we can conclude that Amélie's cake sales are
affected by the daily temperature,
Reset
Next

Answers

The correct answer is : -0.7

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. There is a common tendency to assume that a change in one variable must be the result of a change in the other when the fluctuation of one variable predicts a similar fluctuation in another variable with high accuracy.

Correlation does not necessarily indicate cause, though. For instance, there might be an unidentified factor that has a similar impact on both variables. When it comes to consumer data patterns, being able to distinguish between correlation and causation can be useful and provide insightful information. In the context of marketing, the beer and diapers example is frequently used to illustrate this.

The correlation coefficient is close to: -0.7 (negative because there is an inverse relationship)

Based on this information, we can conclude that Amélie's cake sales are affected by the daily temperature.

Therefore, the final answer is : -0.7.

To know more about correlation visit : https://brainly.com/question/15690353

#SPJ1

how to write a book report plz help???​

Answers

Answer:

below

Step-by-step explanation:

In short, a book report is an essay that contains what you read and learned from reading a book. For example, you would write a book report in the following sequence:

What ocurred in the beginning, middle, and end.What you learned from reading it.What you enjoyed about it.

Best of Luck!

A line with a slope of 1 passes through the point (1,6). what is its equation in slope-intercept form​

Answers

Y-6=1(x-1)
Y-6=x-1
Y=x-1+6
Y= x+ 5

The price of Pepsi stock was $0.65 in 1981 and $27.56 in 2011. What was the average rate of change for the stock per year
from 1981 to 2011 rounded to the nearest hundredth?

Answers

0.65 at year 0 (0, 0.65)
27.56 at year 30 (30, 27.56)

slope = (27.56 - 0.65) / (30 - 0)
slope = 26.91 / 30

Change = 0.897 or almost 90 cents

A recipe for lemonade calls for 14 lemons for every 2 cups of sugar. If you have 84 lemons to use for making lemonade, how many cups of sugar will you need?

Answers

Answer: about 15 because 14x7=78 and 2 cups for every 14 so 7x2 is 14 and there is 6 remaining so 15 is about right

thank biggie not me

12 cups of sugar needed.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

for 14 lemons= 2 cups of sugar need.

for 1 lemon= 2/14 cups of sugar need.

Now, for 84 lemons

=84*2/14

=6*2

=12 cups of sugar need.

Hence, 12 cups of sugar needed.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

write 7/50 as a percentage

Answers

Answer:

14%

Step-by-step explanation:

To change a fraction to a percentage multiply fraction by 100%, that is

[tex]\frac{7}{50}[/tex] × 100% = 7 × 2% = 14%

Step-by-step explanation:

7/50 have to times 100% to get the percentage so,

Working:

7/50 x 100%

= 14%

In a mathematics class, half of the students scored 40 on an achievement test. With the exception of a few students who scored 80, the remaining students scored 58. Which of the following statements is true about the distribution of scores?
A. The mean is greater than the median.
B. The mean and the median are the same.
C. The mean is less than the median.
D. The mean is less than the mode.

Answers

Answer:

C. the mean is less than the median.

Step-by-step explanation:

hope this helps

Simplify: 6 × 9 ÷ 3 − 4 × 5 ÷ 2
A) 4
B) 8
C) 10
D) 11

Answers

Answer:

[tex]b)8[/tex]

is the answer it's was helpful to you

Answer:

B ) 8

Is the answer have a great day

Can somebody help me solve this? Don’t just give me the answer, tell me how to get the answer to problems like these. I forgot what to do on these

Answers

Answer:

it would be 8^12

Step-by-step explanation:

when exponents are dividing eachother and the bases are the same it would be like

[tex] \frac{ {x}^{3} }{x} [/tex]

so it would turn into x^3-1 then the answer would be x^2

g(x) = –2x – 9 What is g(–7)? A. 5 B. –1 C. –5 D. –23

Answers

Answer:

D. -23

Step-by-step explanation:

The question wants you to plug in the -7 into the equation. So in this case it wants you to plug the -7 in so it looks like this:

-2(-7)-9

Now it's just simplify which would be easy. Follow PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction). Do the multiplication first so you get -14-9 and then you'll get -23.

Simplify: 32 - [90-5{9-(14-12)} ] ÷ 5.​

Answers

Answer:

26 [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Sequence A counts down from 46 by 7: 46, 39, 32 and so on. Sequence B counts down from one number (not 46) by another number (not 7). In sequence B, the second number is 35, the sixth number is 23, and the sequence ends with the first single-digit number that it comes to. how many numbers are in the sequence B

Answers

Answer:

Step-by-step explanation:

Sequence is geometric.

[tex]\\u_2=35=u_1+r\\u_6=23=u_1+5*r\\\\u_6-u_2=23-35=-12=u_1+5r-(u_1+r)=4r\\r=-3\\u_1=u_2-r=35-(-3)=38\\\\\text{Let say n the number or numbers in the sequence}\\\\u_n=38+(n-1)*(-3) <10\\38-3n+3 < 10\\41-10 <3n\\n > \frac{31}{3} \\n > 10\\\\u_n=38+(n-1)*(-3) > 0\\\\38-3n+3 >0\\41 >3n\\\\n < \frac{41}{3} \\n< 13.66666\\n < 14\\Possible\ value\ of \ n:\ 11;12;13\\[/tex]

Last term is 8; 5; 2

Numbers of sequence B= 11 or 12 or 13

2. The area of Mr. Bodus rectangular farm is 5500 cm², its width is 11 m find the length of the farm

Answers

Answer:

5 m

Step-by-step explanation:

We convert m to cm by adding 2 zeroes. So 11m = 1100 cm

A = l*w

where l = length and w = width

so w = 11 m

we are looking for l (length)

so set up an equation,

5500 = 11 * l

and divide by 11 on both sides

5500 / 11 = l = 500 cm

Check: 11 * 500 = 5500

We can remove two zeroes to get the value in meters.

500 cm = 5 m

One third of a herd of animals are grazing in the forest and two fifths of the remaining are
resting nearby a pond. The remaining six are drinking water from the pond. Find the number of
animals in the herd.



Please help fast someone

Answers

Answer:

100 but I am not sure I guess it's 100

Answer:

15

Step-by-step explanation:if you make the donminater  the same on all three equations you get 15 and 6 is drinking water so minus 6 that 9 2/5 are resting by a nearby pond so minus 6 and 1/3 i grazing the forest so minus 3 and you get zero so the answer is 15

2.1
Construct an independent Equilateral triangle as follows:
10 cm side with vertices ABC.

Answers

Step-by-step explanation:

First draw a straight line

then mark a point A on the line

after take the compass and take 10 cm size

then keep the compass on A and draw the arc its B

then keep the point on B and draw arc to A

next keep the compass on A draw arc on same length

to upside to line do same thing from point B to upside

mark a point meeting borth arcs its c

all ABC triangle

Which of the following numbers is irrational?
OA) -7.8 repeating
OB) 25
OC) 25.8125
OD 0.025

Answers

-7.8

The rest can be solved as rational. Negative numbers are not rational.

Answer:

OA) -7.8 repeating... is irrational number

Step-by-step explanation:

I. Repeating Decimal is on of irrational number

II. Pie.value is also irrational number, but in computer science, we can find pie value with the quantum computer.

please i need helppp

Answers

Answer:

x=50°

Step-by-step explanation:

x+3°+x+20°+x+7°=180°

or,3x+30°=180°

or,3x=150°

or,x=50°

Answer:

50

Step-by-step explanation:

→ First add all the angles together as angles on a straight line add to 180°

x + 3 + x + 20 + x + 7 = 180

→ Simplify

3x + 30 = 180

→ Minus 30 from both sides

3x = 150

→ Divide both sides by 3

x = 50

add brackets to make this calculation correct 3+4×6-2=28​

Answers

Answer:

3+4×(6-2)=28

Step-by-step explanation:

7×4=28

Answer:

3+4×6-2=28

3+4×(6-2)=28

7×4=28. answer.

PLz answer this is important

Answers

The answer is in the photo

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