The curve with equation y = x^2 + ax + 3 has a stationary point when x = 4. Find a.

Answers

Answer 1

Answer:

Step-by-step explanation:

y=x^2+ax+3

y=(4)^2+a(4)+3

y=16+4a+3

y=19+4a

y-19=4a

y-19/4=a

a=y-4.75


Related Questions

Answer this question, and dnt answer it if u dnt know the answer :|

Answers

Answer: 45

Step-by-step explanation:

The sides are 2x,3x,4x

Add them up and you have 9x=45

Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to \$0.15$0.15dollar sign, 0, point, 15 for each vertical meter climbed. For instance, the price for climbing all the way to the summit, which is 350035003500 meters above the base of the mountain, is \$645$645dollar sign, 645.

Let yyy represent the fee (in dollars) of a trip where they climbed xxx vertical meters.

Complete the equation for the relationship between the fee and vertical distance.

Answers

Answer:

[tex]y = 120 + 0.15x[/tex]

Step-by-step explanation:

Given

[tex]Additional\ Fee = \$0.15[/tex] per vertical meter

[tex]y = fee[/tex] per x meter

[tex]x = vertical\ meter[/tex]

For:

[tex]x = 3500[/tex] --- [tex]y = 645[/tex]

Required

Determine the equation that relates y to x

Let the initial fee be represented with m

The equation that relates y to x is:

[tex]y = Initial\ Fee + Additional\ Fee * Vertical\ Meter[/tex]

This gives

[tex]y = m + 0.15 * x[/tex]

We need to first solve for m

From the question,

[tex]x = 3500[/tex] when [tex]y = 645[/tex]

So:

[tex]645 = m + 0.15 * 3500[/tex]

[tex]645 = m + 525[/tex]

Make m the subject

[tex]m = 645 - 525[/tex]

[tex]m = 120[/tex]

So, the initial fee is $120

Substitute 120 for m in [tex]y = m + 0.15 * x[/tex]

[tex]y = 120 + 0.15 * x[/tex]

[tex]y = 120 + 0.15x[/tex]

Hence, the required equation is: [tex]y = 120 + 0.15x[/tex]

PLZ HELP!!
f(x) = x2 is graphed in red. Which of the following
functions is graphed to the left in purple?
O f(x) = -(x + 3) 2 - 2
Of(x) = (x – 3)2 +2
O f(x) = - ] (x+3)2 - 2
O f(x) = (x – 3)2 – 2
10

Answers

9514 1404 393

Answer:

  f(x) = -1/4(x +3)² -2

Step-by-step explanation:

The graph is shifted left 3 and down 2. It is also reflected over the x-axis and vertically compressed. The leading coefficient will be a negative fraction, and the offsets will replace x with x+3, and will add -2 to the scaled function.

The result is shown below.

HELP PLS WILL MARK BRAINLIEST!!!!!!!!!!!!

Answers

This is fairly easy.
60x30=1800
Just add up the zeros from both numbers and do 6x3.
So therefore there will be 18 hundreds sections since there is nothing on the tens digit and nothing on the ones digit.
Hope this helps!

Help me plzzzzzzzzzzzzzz ​

Answers

y is 83° and x is 14°

Please hurry I am being timed!

The three angles of a triangle have equal measures. The sum of their measures is 180º. What is the measure of each angle?
A. 45º
B. 30º
C. 60º
D. 55º


Please select the best answer from the choices provided

Sorry if this is easy for you I'm bad at math

Answers

The angle of each measure is 60 degrees

Maria would like to leave a tip (D) of at least 15% of her total dinner bill (3). Which inequality could Maria use to calculate the possible amounts she could leave as a tip?


OT ≥0.15B

O T > 0.15B

O T ≤ 0.15B

OT < 0.15B​

Answers

An

Step-by-step explanation:

Lynne was wondering which game was more popular so she aksed her friends which they liked to play more, FortNite or Among Us. She found that of the 80 people who responded, 0.55 of them preferred FortNite, and 30% of them preferred Among Us. How many more of her friends prefer FortNite than Among Us?

Answers

Answer:

20 more of her friends prefer FortNite than Among Us

Step-by-step explanation:

Lynne was wondering which game was more popular so she aksed her friends which they liked to play more, FortNite or Among Us.

She found that of the 80 people who responded:

For fortnite:

0.55 of them preferred FortNite

Hence, = 0.55 × 80 people

= 44 people preferred fortnite

For Among us

30% of them preferred Among Us.

= 30% × 80 people

= 30/100 × 80 people

= 24 people preferred Among us.

How many more of her friends prefer FortNite than Among Us?

This is calculated as:

44 - 24

= 20 more people

Hence, 20 more of her friends prefer FortNite than Among Us

Answer:

20 more of her friends prefer Forte than Among

If i = -1, then i^2 =

Answers

Answer:

1

Step-by-step explanation:

The exponent is the number of times you multiply the base aka i in this case.

i = -1

Substitute -1 for i.

-1^2

-1 x -1 = 1

because when you multiply two negatives they make a positive.

mark me brainliest : )

Suzanna walked two over seven of a mile in two over five of an hour. What is her unit rate in miles per hour?
Select one:
a. two sevenths over two fifths = one and two fifths miles per hour
b. two fifths over two sevenths = one and two fifths miles per hour
c. two sevenths over two fifths = five over seven mile per hour
d. two fifths over two sevenths = five over seven mile per hour


PLS HELP BRIANLY ISNT WORKING FOR ME SO I NEED HELP ASAP.

Answers

Answer:

5/7 mile per hour.

Divide 2/7 by 2/5 to get to 0.714. After that, convert the decimal to a fraction and you get your answer.

GIRL U BETTER MARK MOST BRAINLIEST ALL THOSE TIMES

I MARKED U

Answer:

two sevenths over two fifths = five over seven mile per hour

Step-by-step explanation:

took da test

In the metric system, which prefix would you use for "1/100"?
A. Kilo-
B. Milli-
C. Centi-
O D. Hecto-

Answers

Answer:

C

Step-by-step explanation:

Centi means 1/100.

Answer:  C. Centi-

Step-by-step explanation:

It comes from Latin. You can remember that 0ne Cent is 1/100 of a dollar.

Find the missing length.
С
9
c= /[?]
TX
Pythagorean Theorem: a2 + b2 = c2
3



Don’t mind the broken laptop

Answers

Answer:

c = [tex]\sqrt{90}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse c is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 3² = 81 + 9 = 90 ( take the square root of both sides )

c = [tex]\sqrt{90}[/tex]

f(x)= x^2 + 10f(x)=x

2

+10f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 10

Over which interval does fff have a positive average rate of change?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

[-3,3][−3,3]open bracket, minus, 3, comma, 3, close bracket


(Choice B)

B

[-4,-1][−4,−1]open bracket, minus, 4, comma, minus, 1, close bracket


(Choice C)

C

[-3,1][−3,1]open bracket, minus, 3, comma, 1, close bracket


(Choice D)

D

[-1,2][−1,2]

Answers

Answer:

The option D represents an interval with a positive average rate of change.

Step-by-step explanation:

Let [tex]f(x) = x^{2}+10[/tex], the average rate of change on the interval [tex][a,b][/tex] is represented by the definition of the secant line:

[tex]\bar f = \frac{f(b) -f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds, dimensionless.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds, dimensionless.

Now we proceed to check each option:

A. [tex]a = -3[/tex], [tex]b = 3[/tex]

[tex]\bar f = \frac{19-19}{3-(-3)}[/tex]

[tex]\bar f = 0[/tex]

B. [tex]a = -4[/tex], [tex]b = -1[/tex]

[tex]\bar f = \frac{11-26}{(-1)-(-4)}[/tex]

[tex]\bar f = -5[/tex]

C. [tex]a = -3[/tex], [tex]b = 1[/tex]

[tex]\bar f = \frac{11-19}{1-(-3)}[/tex]

[tex]\bar f = -2[/tex]

D. [tex]a = -1[/tex]. [tex]b = 2[/tex]

[tex]\bar f = \frac{14-11}{2-(-1)}[/tex]

[tex]\bar f = 1[/tex]

The option D represents an interval with a positive average rate of change.

Answer:

It would be D

Step-by-step explanation:

If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
“I think of a number, take away 1 and multiply the result by 3."

Answers

Answer:

X-1=X×3

Step-by-step explanation:

it's pretty easy you just got to be focus

you can ask for help anytime

EASY MATH QUESTION HELP! Under the Angle Addition Postulate, which equation would be valid?

What is true about angles 2 and 7 in the picture below?

Answers

Answer: Whats True about 2 angles and 7 anglesis that They are not the same number and one of them is less and great

Step-by-step explanation: This is not a easy math question.

Please help thank you so much

Answers

Answer:

yes

when the point is pugged into the equality, it works

1. Analyze the question below. What is the slope of the line?
y = 10
A. m = -10/1
B. m = -100/10
C. m = 10
D. m = All of the Above
2. What is the slope of the line?
y = -9/3x
A. m = -9/3
B. m = -3
C. m = -9/-3
D. m = All of the Above
3. What is the slope of the line?
y = -9x
A. m = -9/1
B. m = -9/-1
C. m = -9
D. All of the Above
4. What is the slope of the line?
7x = y
A. m = -7/1
B. m = 7
C. m = 1/7
D. All of the above
5. How do I find a slope on the linear graph in simplest form? ​

Answers

1.c

2.a

3.b

4.b

5. not enough points for me to answer

Answer:

1.c

2.a

3.b

4.b

5. not enough points for me to answer

Step-by-step explanation:

1.c

2.a

3.b

4.b

5. not enough points for me to answer

a bolt has 6 1/2 turns per inch how many turns would be in 2 1/2 inches of threads

Answers

Answer:

famwfklawf'ajnkpfjnflasjfajlkfjlk/ajkljkljklasjkfjkajkjkfajkfjkj/fj/fsklafnwklasj'fawJFAKLfajfl;ajfafjafafafafaf

Step-by-step explanation:

I dont understand this at all. I really need help! ​

Answers

Hello!

[tex]\large\boxed{x^{4}}[/tex]

Recall that:

[tex]\sqrt[z]{x^{y} }[/tex] is equal to [tex]x^{\frac{y}{z} }[/tex].  Therefore:

[tex]\sqrt[3]{x^{2} } = x^{\frac{2}{3} }[/tex]

There is also an exponent of '6' outside. According to exponential properties, when an exponent is within an exponent, you multiply them together. Therefore:

[tex](x^{\frac{2}{3} })^{6} = x^{\frac{2}{3}* 6 } = x^{\frac{12}{3} } = x^{4}[/tex]

A marinade for enough meat to food 100 people needs 12 1/2 cups of olive oil. How many cups of olive oil are needed to make a marinade for 25 people?

Answers

100 people, 12.5 olive oil
12.5/100 =
0.125 per people
25 * 0.125 = 3.13 cups

What is the equation to find d

Answers

Ebjnxnebchhxbbxhdhdbhx

Solve |1 - 4x| > 7
I need help pls

Answers

Answer:

the answer is 28

Step-by-step explanation:

help me pleaseeeeeeeeee

Answers

Answer:

C) [tex]45^{\circ}[/tex]

Step-by-step explanation:

There are 2 pi radians in 360 degrees:

 [tex]\frac{17\pi}{4}rad \cdot\frac{360^{\circ}}{2\pi{rad}}=765^{\circ}=45^{\circ}[/tex]

Answer: I think it 45°

Explanation:360-315=45

A 12 volt battery is connected to two resistors in series. The first resistor has a resitance value of 5 Ohms and the current through the circuit is 1.5 Amps. What is the value of the second resistor?

a
9 Ohms
b
1.5 Ohms
c
5 Ohms
d
3 Ohms

Answers

Answer:

3 Ohms

Step-by-step explanation:

U1 = 5 ohm × 1.5 amps = 7.5 V

U2 = U - U1 = 12 - 7.5 = 4.5 V

R2 = U2 / I = 4.5 / 1.5 = 3 Ohms

is 2(x+3)=5x+6-3x always true or never true?

Answers

Answer:

always true

Step-by-step explanation:

Distribute the left side

2(x + 3) = 2x + 6

Simplify the right side

5x + 6 - 3x ← collect like terms

= 2x + 6

Thus

left side = right side , so always true

Equation 2(x + 3) = 5x + 6 - 3x is an identity which is always true.

What is identity?

An identity is an equation which is always true, no matter what values are substituted.

Identities can be written with the sign ≡.

Given equation,

2(x + 3) = 5x + 6 - 3x

Simplifying

2x + 6 = 2x + 6

LHS = RHS

Hence, equation 2(x + 3) = 5x + 6 - 3x  is always true.

Learn more about identity here:

https://brainly.com/question/29125576

#SPJ2

When trying to find a common denominator, can you multiply the denominators and get a common denominator?(example: 3/7 2/5
7 x 5 = 35
2/35 3/35)

Answers

Answer:

im pretty sure you have to cross muliply

but i learned in school what ever you do to the top do to the bottom

hope it helps

sorry no definet answer

Step-by-step explanation:

What two equations are in this graph (slope intercept form if you can)

Answers

Answer:

use rise over run! this means  "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).

Step-by-step explanation:

Use a positive or negative number to represent a stock market loss of $1,500.​

Answers

Answer:

negative

Step-by-step explanation:

negative because you are losing something

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

D, ininitely many

Step-by-step explanation:

A- incorrect since the lines intersect

B - incorrect since the lines intersect at more than one point

C - incorrect since the lines intersect at more than 2 points

D- correct since the lines intersect at infinitely many points (since they're the same line)

Answer:

D) infinitely many solutions

Step-by-step explanation:

we can see that the graphs shows two lines that are exactly one on top of the other. This means that every point on either line will also coincide with a point on the other line.

Because of this, every point on one line is also a solution on the other line, thus there are infinitely many solutions.

perimeter = 36 calculate
the value of x when x-2 in
square​

Answers

Answer:

11

Step-by-step explanation:

36/4 = 9

9 = x-2

x = 11

Step-by-step explanation:

Perimeter = 36

length = x - 2

Perimeter of a square = 4 × length

36 = 4(x - 2)

dividing through by 4:

9 = x - 2

hence:

x = 9 + 2 = 11.

Other Questions
Why did many people go into debt in the Great Depression Which sentence contains a word that is used correctly?People who are very experienced in their careers are called tenderfeet.The basketball player dismounted the court and returned to the bench.After a few days in bed, Terri still felt sick and looked peaked.All the neighbors stayed inside to avoid dealing with the balmy weather. Which of these statements best defines the term Middle Ages? Which option is an example of inductive reasoning? Read the passage from Lincolns Second Inaugural Address and then answer the question. What did Lincoln mean in this passage? Both sides were willing to destroy the nation by letting the war begin. The North started the war to stop slavery, and the south fought to keep slavery. The South would destroy the nation, so the North had to fight for the nations survival. 1.2Determine the area of the square ABCD withAB=3cm. 3 DC what is grammatically correct Evaluate the expression: 2/3p + 3 where p = 3/5 What would happen if the sand dunes in an area were destroyed? What would happen if we couldn't carry respiration out? Which of the following molecules is not an exception of octet rule? *(a) BF(b) PF(c) CO(d) IF Translate: to earn ganar cuidar comprar acabar de HELP ME ASAP 10 POINTS ANWSER NUMBER 3 The structures responsible for completing the breakdown of carbohydrates into usable energy for the cell are the A. Nuclei B. Mitochondria C. Ribosomes D.chloroplasts Why might developed economies want to outsource manufacturing and other jobs to developing economies?Developed economies can find more inexpensive labor in developing economies.Developed economies are responsible for helping developing economies progress.Developed economies focus only on service, not manufacturing, so they must outsource.Developing economies produce higher-quality goods, so it makes sense to outsource. what would happen if homogenisation and pasteurisation steps are omitted during the production of yoghurt A clothing store sends out a sample of a new fabric to 300 random homes 2 pointsand asks them to fill out a survey about how much they like the sample.Each person who responds and fills out the survey will have a chance towin a $25 gift card. Does this represent a biased or unbiased sample?Explain your answer. *Your answer at the store you can get 15 cans of peaches for 3 dollars find the unit rate for 1 Help me out in this question please I need helppp please