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

A holiday costs £1900. Work out the
price after a 9% discount.

Answers

Answer:

$1729

Step-by-step explanation:

[tex]\frac{100-9}{100} * 1900[/tex]

Answer:

1729

Step-by-step explanation:

1900 divided by 100 is 19

1% equals 19

1 times 9 equals 9

19 times 9 equals 171

171 = 9%

171 - 1900 = 1729

price after a 9% discount is 1729

Help me fast please i’ll give 20 points

Answers

A maybe I think. I hope it’s correct

Answer: C

You can use the formula x = -b / 2a to find the axis of symmetry.

could somebody help me with this please?

Answers

Answer:

1) x ≅ 51.34°

2) y ≅ 38.66°

Step-by-step explanation:

In the right triangle given in the figure

∵ The triangle has a right angle

∴ Angles x and y are acute angles and the sum of their measures is 90°

→ By using the trigonometry function tan

tan(x) = opposite side to x/adjacent side to x

∵ The opposite side to x = 10

∵ The adjacent side to x = 8

→ Substitute them in the rule above

∴ tan(x) = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex]

→ Use the inverse of tan to find x

∵ x = [tex]tan^{-1}[/tex]([tex]\frac{5}{4}[/tex])

∴ x = 51.34019175

x ≅ 51.34°

∵ x + y = 90°

∴ 51.34 + y = 90

→ Subtract 51.34 from both sides

y ≅ 38.66°

How many hours are in 40% of a week?

Answers

Answer:

67.2 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

67.2 hours are in 40% of a week.

9 ft=_____ in Do y'all know the answer to this plz help me out plz and thanks

Answers

Answer:

108

Step-by-step explanation:

As 1 foot = 12 inches, 9 foot = 12*9 = 108.

Hope this helps! :)

Answer:

The answer is 108. 1 foot equals 12 inches. So, you just need to multiply 9 by 12. 9 x 12 = 108.

Can you please help me

Answers

i believe it’s 0.5 :)

Answer:

0.5

Step-by-step explanation:

The slope of the line is 1/2, so the answer is 0.5

A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where h(t) is the height, in feet, after t seconds?

A. h(t) = -16(t - 403)^2 + 3
B. h(t) = -16(t - 5)^2 + 3
C. h(t) = -16(t - 3)^2 + 403
D. h(t) = -16(t - 5)^2 + 403

Answers

Answer:

I believe its A

Step-by-step explanation:

D. h(t) = -16(t - 5)² + 403 could be used to model this situation.

What are the given informations ?

A baseball is hit from an initial height of 3 feet.

The baseball reaches a maximum height of 403 feet.

Here, h(t) indicates the height in feet after t seconds.

Which function is correct ?

At the start, t = 0 & Initial height = 3 feet ,i.e. h(0) = 3

We have to verify options by putting t = 0

A.  h(t) = -16(t - 403)² + 3

So, h(0) = -16(0-403)² + 3 = -16(-403)² +3 = -2598544+3 = -2598541

B.  h(t) = -16(t - 5)² + 3

So, h(0) = -16(0-5)² + 3 = -16(-5)² + 3 = -400+3 = -397

C.  h(t) = -16(t - 3)² + 403

So, h(0) = -16(0-3)² + 403 = -16(-3)² + 403 = -144 + 403 = -259

D.  h(t) = -16(t - 5)² + 403

So, h(0) = -16(0-5)² + 403 = -16(-5)² + 403 = -400 + 403 = 3

Hence, in this function h(0) = 3 verified.

Therefore h(t) = -16(t - 5)² + 403 is the required function.

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Distance = 30 m, Time = 6 minutes, Speed = ?


Helpppp

Answers

Answer:

its 5 m/minute

Step-by-step explanation:

you have to use the units that are given in the equation

pls mark brainliest if you geel like it...

Answer:

5 minutes

Step-by-step explanation:

6 min x 5 min = 30

i just multiply

1. Carisa is going to play outside with her friends. She is going to randomly pick a ball to play with out of the
garage. There is a soccer ball, a basketball, a baseball, and a football. What is the probability she is going to
pick the basketball or the soccer ball?

Answers

Answer:

50% chance

Step-by-step explanation:

if there are four balls there is a 50% chance she will pick the basket ball or the scoccer ball. Hope this helped.

describe the slope of the line and then find the slope.

Answers

it’s a negative slope of -4/3 <3

Answer:

-4/3

Step-by-step explanation:

The line is decreasing so the slope will be negative. The slope formula is  [ y2-y1/x2-x1 ].

-1-3/1-(-2)

-4/3

Best of Luck!

Help? How do I do this.

Answers

z:60 y:36 x:48. I just look at the lengths and assign the values to the logical placement due to size.

Lauren drew a tower using only similar quadrilaterals.

Which statement about the quadrilaterals must be true?

O The quadrilaterals have corresponding angles that are congruent.
0 The quadrilaterals are all the same size and shape.
O The quadrilaterals are different shapes but the same size.
O The quadrilaterals have corresponding sides that are congruent.

Answers

Answer:

B. The quadrilaterals are all the same size and shape.

Step-by-step explanation:

Lauren was drawing a tower ONLY using SIMILAR quadrilaterals, so since that is, since the quadrilaterals are similar, then they must have the same size and shape.

The statement i.e. true for quadrilaterals should be

B. The quadrilaterals are all the same size and shape.

What are quadrilaterals?

A quadrilateral refer to the closed shape also it is the type of polygon that comprises of four sides, four vertices, and the four angles. Here the sum of the interior angle should be equivalent to the 360 degrees.

Therefore, we can conclude that the second option is correct.

hence, the rest of the options are wrong.

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I need number 10 if you can get 11 then could you help me with that too?


If it is correct I will give a Branliest!!!

Answers

Answer:

10. 3 musicians

11. a) 10 feet

   b) can't read all of it

Step-by-step explanation:

Answer:

#10 should be 3

Step-by-step explanation:

Write an equation for the line in the given form.

slope is 5 and (-4, 8) is on the line; point-slope form

Answers

Answer:

Y =5x + 12

Step-by-step explanation:

You start with

y-8=5x(x+4)

y=5x+ 12

Plz help me solve this math question

Answers

Answer:

John's family should second scheme.

evaluate the expression 2b3 + 5 when b = 3.

Answers

Answer:

Its 3

Step-by-step explanation:

Its Really easy ngl. if b = 3        and there is a 2 and u are supposed to replace the b its 3

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of 2b³ + 5 at b = 3 is 59.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2b³ + 5  _____(1)

We will find the value of the expression 2b³ + 5 at b = 3.

Substitute b =3 in (1).

= 2b³ + 5

= 2 x 3³ + 5

= 2 x 3 x 3 x 3 + 5

= 2 x 27 + 5

= 54 + 5

= 59

Thus,

The value of 2b³ + 5 at b = 3 is 59.

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The length of the hypotenuse, line segment AC, in right
triangle ABC is 25 cm. The length of line segment BC is
15 cm.

Answers

What is the question? The Hypotenuse? If so there is still not enough evidence.

if the question is asking for the length of AB :
since the triangle is a right angled one, we can apply the Pythagoras’ Theorem.

AC^2 = BC^2 + AB^2
25^2 = 15^2 + AB^2
625 = 225 + AB^2
AB^2 = 400
AB = 20cm

The length of line AB is 20cm.

Evaluate: 2x + 5x - 11 = -46

Answers

Answer:

x=-5

Step-by-step explanation:

Combine like terms: 7x-11=-46

Add 11 to -46: -35

Divide: 7x/-35

ANSWER: x=-5

Determine if this quadrilateral is a parallelogram. Justify your answer.

Answers

Answer:no

Step-by-step explanation:

the properties for a parallelograms are

opposite angles are equalopposite sides are equaldiagonals bisect each othersum of any two adjacent angles is 180

we can conclude that the quadrilateral is not a parallelogram because it only has one pair of opposite sides that are equal. (the dashes through the sides show they are congruent to each other)

[tex]\frac{6\sqrt{3} }{7\sqrt{8} }[/tex]

Answers

4.1991 I just put it in a calculator

Will mark as brainliest ❤️

Answers

Answer:

is just a "place-holder" or "variable.

If

f

x

=

x

+

7

then (using a different variable)

f

(

t

)

=

t

+

5

or

using a constant

f

(

x

)

=

5

+

7

Since

5

+

7

=

12

for the given example

f

(

5

)

=

12

g(n) = 1 + 5(n - 1)
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+

Answers

Answer:

Hi... U should do like this

The recursive formula will be g(n) = g(n-1) + 5

What is recursive formula ?

"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:

The first term of the sequence.

The pattern rule to get any term from its previous term.

Recursive Formula for Arithmetic Sequence

The recursive formula to find the nth term of an arithmetic sequence is:

an = an-1 + d for n ≥ 2

where

an is the nth term of a A.P.

d is the common difference."

Given,

[tex]g(n) = 1 + 5(n-1)[/tex]

Let the remaining term be x

Now,

[tex]g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5[/tex]

So, [tex]g(n) = g(n-1) + 5[/tex]

And, [tex]g(1) = 1 + 5(1 - 1) + 5[/tex]

[tex]g(1) = 6[/tex]

Hence, [tex]g(1) = 6[/tex] and [tex]g(n) = g(n-1) + 5[/tex]

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1) f(x) = 5x^4+ 49x^2+ 36

Answers

Answer:

That's the simplest I could do, sorry

the length of a rectangle is 5 more than twice the width. if the perimeter of the rectangle is 76 meters, find the dimensions of the rectangle and choose the equation that represents the perimeter:

1. 76=2w+5
2. 76=2w+2(2w+5)
3. 76=w+2w+5
4. 76=2w+(2w+5)

Answers

Answer:

Dimensions: 11 meters by 27 meters

2. [tex]76=2w+2(2w+5)[/tex]

Step-by-step explanation:

Finding Dimensions:

The perimeter of a rectangle can be written as [tex]2l+2w[/tex] where [tex]l[/tex] is the length and [tex]w[/tex] is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.

With this information we can write:

Length = [tex]2w+5[/tex]

[tex]2(2w+5)+2w = 76[/tex] (perimeter of the rectangle)

[tex]4w+10+2w=76[/tex]

[tex]6w=66[/tex]

[tex]w=11[/tex]

Length = [tex]2(11)+5[/tex]

Length = [tex]27[/tex]

∴ The dimensions of the rectangle is 11 meters by 27 meters.

Perimeter

Since the length can be written as [tex]2w+5[/tex], the equation that represents the perimeter of the rectangle is [tex]76=2w+2(2w+5)[/tex]

Solve 4x + 1 = 3 – 2x

Answers

Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 1 = 3 - 2x

Step 2: Solve for x

Add 2x on both sides:                    6x + 1 = 3Subtract 1 on both sides:                6x = 2Divide 6 on both sides:                   x = 1/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    4(1/3) + 1 = 3 - 2(1/3)Multiply:                        4/3 + 1 = 3 - 2/3Add/Subtract:               7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

Answer:

x=1/3

Step-by-step explanation:

4x+1=3-2x

Add 2x to both sides

6x+1=3

Subtract 1 on both sides

6x=2

x=2/6

Please help me Find X:

Answers

Answer:

x=50

Step-by-step explanation:

since all the angles of a triangle when added equal 180 we are going to have an equation like this:

180=102+28+x

180=130+x

so to find the value of x we have to subtract the final number by the value already given to us so something like:

180-130

which equals 50

Please help me out!​

Answers

Answer:

50

Step-by-step explanation:

0.2 is the correct answer

Which of the following side-angle relationships in △ABC are true? Select all that apply.
A. The largest angle is opposite the smallest side.
B. The smallest angle is opposite the largest side.
C. The smallest angle is opposite the smallest side.
D. The largest angle is opposite the largest side.

Answers

I think its B and D the smallest angle is opposite the small side and the largest angle is opposite the largest side

The true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.

What are a triangle's properties?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The properties of a triangle are:

Three sides, three angles, and three vertices make up a triangle.A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.Any two triangle sides can add up to a length that is longer than the third side.The greatest side of a triangle is the side that faces the largest angle.Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.

Therefore, the true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.

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Jim earns 3% commission every month on his total sales. This month, his total sales were $620,000. How much commission did Jim earn?
Group of answer choices

A-$18,600

B-$20,600

C-$206,000

D-$186,000

Answers

answer is A. $18,600 because $620,000 × 3% = $18,600

pretty sure its A.

Brainliest?... thx

can someone make my day and explain this to me​

Answers

Answer:

Step-by-step explanation:

Remark

The first step is the critical one. Take the base and raise it to x. Then take the log of the base and the number whose log you need. x (the power)is brought down and the logs divided.

2^x = 1024

log 2^x = log(1024)

x log(2) = log(1024)

x * 0.30102 = 3.0102

x = 30102/0.30102

x = 10

You could use the e system to solve this as well

2^x = 1024

ln(2^x) = ln(1024)

x * ln(2) = ln(1024)

x 0.6931 = 6.9315

x = 6.9315/0.69315

x = 9.999959

x = 10

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