express y=2x²+9x+4 in the form a(x+b)²+c . where a ,b,c are constant

Answers

Answer 1

Answer:

2(x+9)^2 + 4

Step-by-step explanation:

.............


Related Questions

what is 2,034,627 rounded to the nearest ten thousand

Answers

Answer:

rounded to the nearest ten thousand

2,034,627

2,030,000

19. PLEASE HELP ME
Order the group of quadratic functions from widest to narrowest graph.
y=, y=, y=

A. y= -7x2, y= -1/3x2, y= -1/5x2

B. y= -1/5x2, y= -7x2, y= -1/3x2

C. y= -1/3x2, y= -1/5x2, y= -7x2

D. y= -1/5x2, y= -1/3x2, y= -7x2

Answers

Answer:

D. y= -1/5x2, y= -1/3x2, y= -7x2

Step-by-step explanation:

4. (01.03 MC)
Karissa purchased a set of LED lights online that normally sells for $65.00 but was marked down to $57.20. What is the discount rate Karissa received? (2 points)
A 12% B 22 C 67%

Answers

Answer:

12% discount

Step-by-step explanation:

Take the change in price

65 - 57.20 =7.80

And divide by the original price

7.80/65=.12

Change to percent form

12%

if 3x=y-5 and x=-4 then y =

Answers

Answer:

-7 = y

Step-by-step explanation:

3x=y-5

Let x = -4

3(-4) = y-5

-12 = y-5

Add 5 to each side

-12 +5 = y-5+5

-7 = y

Seventy-two books were to be divided up among 18 children. Which of the following
expressions is equivalent to this fraction?
a. 8/3 divided by 6/9
b. 8/3 times 2/3
c. 2/9 divided by 8/9
d. 2 times 8/2

Answers

Answer:

a

Step-by-step explanation:

cause if 72 book were divided by 18 kids they would hav all gotten 4 books each

so a is the answer cause it gives youthe answer 4

Answer: a. 8/3 divided by 6/9

Step-by-step explanation: I got this question on my test

Re write the statement 19 +7 / 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2

Answers

y=2

PREMISES

y=the expression 19+7/2×6+1 rewritten by including two sets of brackets or parentheses to get a result of 2

CALCULATIONS

To clearly express the mathematical phrase 19+7/2×6+1 to get a result of 2 requires specific parenthetical treatment.

y=19+7/2×6+1 becomes

y=(19+7)/(2×6+1)

y=26/(12+1)

y=26/13

y=

2

PROOF

If y=2, then the inverse of the phrase (19+7)/(2×6+1) returns

y(2×6+1)=19+7

2(2×6+1)=19+7

2(12+1)=19+7

2(13)=26 and

26=26 proves the solution y=2 to the phrase (19+7)/(2×6+1)

In January, the average temperature t hours after midnight in Mumbai, India, is given by:
T(t)=24.5-5.5sin((2pi(t+1))/24)
What is the coldest time of day in Mumbai? give an exact answer

Answers

The coldest time of day in Mumbai is 5 hours after midnight.

Since the average temperature t hours after midnight in Mumbai, India, is given by:

T(t)=24.5-5.5sin((2pi(t+1))/24)

We have that

T(t) = 24.5 - 5.5sin((2π(t+1))/24)

The coldest time of day is when T(t) is minimum.

T(t)  is minimum when 5.5sin((2π(t+1))/24) is minimum where t is the coldest time of day at minimum temperature, T(t).

Since for a sine function, -1 ≤ sinФ ≤ 1, the minimum value of sinФ = -1.

So, T(t) = 24.5 - 5.5sin((2π(t+1))/24) is minimum when

5.5sin((2π(t+1))/24) is minimum.

Also, -5.5sin((2π(t+1))/24) = 5.5 × -1 at minimum temperature T(t)

So, 5.5 × -1 = 5.5 × -sin((2π(t+1))/24)

So, -sin((2π(t+1))/24) = -1

sin((2π(t+1))/24) = 1

Taking inverse sine of both sides, we have

sin⁻¹sin((2π(t+1))/24) = sin⁻¹(1)

((2π(t+1))/24) = π/2

Multiplying both sides by 24, we have

(2π(t+1))/24 × 24 = π/2 × 24

(2π(t+1)) = 12π

Dividing both sides by 2π, we have

2π(t+1)/2π = 12π/2π

t + 1 = 6

t = 6 - 1

t = 5 hours

So, the coldest time of day in Mumbai is 5 hours after midnight.

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A rectangle has a length 3 times as long as its breadth, and it has a perimeter of 152cm. What is it's length?

Answers

Answer:

Maybe length iss= 27 cm.

[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]

Answers

Answer:

-15

Step-by-step explanation:

[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]

[tex] = \sqrt{20} \times \sqrt{5} - 2 \sqrt{45} \times \sqrt{5} + \sqrt{5} \times \sqrt{5} [/tex]

[tex] = \sqrt{100} - 2 \sqrt{225} + \sqrt{25} [/tex]

= 10 - 2 × 15 + 5

= 10 - 30 + 5

= 15 - 30

= -15 (Ans)

If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P, then sin() = Incorrect: Your answer is incorrect. cos() = tan() = .

Answers

cos(a) = x/r

sin(a) = y/r

tan(a) =  y/x

In the image at the end, you can see a sketch of the situation, we can model this with a triangle rectangle:

The hypotenuse length is equal to r, the adjacent cathetus to the angle is the x-value, and the opposite cathetus to the angle is the y-value.

Now we can remember the trigonometric relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse)

tan(a) = (opposite cathetus)/(adjacent cathetus)

Using what we wrote above, we can rewrite these as:

cos(a) = (adjacent cathetus)/(hypotenuse) = x/r

sin(a) = (opposite cathetus)/(hypotenuse) = y/r

tan(a) = (opposite cathetus)/(adjacent cathetus) = y/x

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pleaseee help help

The sign at the tee off area for a hole on a golf course indicates the hole is 340
yards from the tee. The golfers drive went to the right. The caddie paced the
drive to be 230 yards. The yardage markers indicate the ball is still 175 yards
from the hole. Determine the angle the golfer went off line from the tee when they
drove the ball.

Answers

The angle the golfer went off line from the tee when they  drove the ball

is [tex]\phi=28.2 \textdegree[/tex] because the cosine rule has been applied to calculate the angle

From the question we are told that:

Distance of hole from tee [tex]d_h=340yards[/tex]

Distance to the right [tex]d_r=230yards[/tex]

Ball distance from hole [tex]d_b=175 yard[/tex]

Given that the three points form a triangle x,y,z respectively

Where

[tex]d_h=xz[/tex]

[tex]d_r=xy[/tex]

[tex]d_b=yz[/tex]

Using Cosine Rule

[tex]yz^2=xy^2+xz^2-2(xy)(xz)cos\phi[/tex]

Therefore

[tex]cos\phi=\frac{yz^2}{xy^2+xz^2-2(xy)(xz)}[/tex]

[tex]cos\phi=\frac{(175)^2}{230^2+340^2-2(230)(340)}[/tex]

[tex]cos\phi=0.88[/tex]

[tex]\phi=28.2 \textdegree[/tex]

In conclusion the angle the golfer went off line from the tee when they

drove the ball is mathematically deducted and give as

[tex]\phi=28.2 \textdegree[/tex]

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Explain how to find the value of y in the equation 6ly + 4) = 12.
Please help

Answers

Answer:

6y + 4 = 12 is simple. 6 times y + 4 to equal 12. 6 + 4 = 10. 12-10=2. To get 2 more than 6 is Y=4/3

Step-by-step explanation:

Please help explanation if possible

Answers

Answer:

(1, - 2 )

Step-by-step explanation:

Given the equations

3x - 4y = 11 → (1)

y + 3x = 1 ( subtract 3x from both sides )

y = 1 - 3x → (2)

Substitute y = 1 - 3x into (1)

3x - 4(1 - 3x) = 11 ( distribute and simplify left side )

3x - 4 + 12x = 11

15x - 4 = 11 ( add 4 to both sides )

15x = 15 ( divide both sides by 15 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 1 - 3(1) = 1 - 3 = - 2

solution is (1, - 2 )

If a boat traveled 6n^2 + 4n miles at an average speed of 2n miles per hour, how long did it take the boat to travel the given distance?

Answers

Answer:  3n+2  hours

To get this answer, you divide the distance over speed

This is because

distance = rate*time

time = distance/rate

So we have

time = (distance)/(rate)

time = (6n^2+4n)/(2n)

time = (6n^2)/(2n) + (4n)/(2n)

time = 3n + 2 hours

Rosemary and Darwin are discussing how to find the value of
-28 + 45. Rosemary says the value of -28 + 45 = -73. Darwin
says the value of -28 + 45 = 17.
Who is correct, and why?

Answers

Answer:

Darwin

Step-by-step explanation:

-28+45=17 because 45-28=17. To prove, do the math!

PLEASE HELP!!

Prove the trigonometric identity.


tanx+cotxcscxcosx=sec2x


Drag an expression to each box to correctly complete the proof.

Answers

You're going to have to break all of these identities into sin and cos, and then just resolve them like normal.

The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved .

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

formulas for trigonometric ratios is:

sin θ = 1/cosec θ

cos θ = 1/sec θ

tan θ = 1/cot θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

According to the question

[tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex]

[tex]\frac{\frac{sin x}{cos x} + \frac{cos x}{sin x}}{\frac{1}{sin x}*cosx } = sec^{2} x[/tex]

[tex]\frac{\frac{sin^{2}x + cos^{2}x }{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]

[tex]\frac{\frac{1}{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]

[tex]\frac{\frac{1}{cosx} }{\frac{cosx}{1} } = sec^{2} x[/tex]

[tex]\frac{1}{cos^{2} x} =sec^{2} x[/tex]

[tex]sec^{2} x =sec^{2} x[/tex]

L.H.S = R.H.S

Hence, The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved  .

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Which correlation best describes the data below.

Answers

Answer:

Weak negative correlation

Please help me to solve this question as soon as possible. Thank you.

Answers

Answer:

Step-by-step explanation:

they will attend on april 12

You and your friend want to find the proportion of yellow candies in a
candy machine. You take a sample of 30 candies. Your sample proportion
of yellow candies is 15%. Your friend takes 50 random samples of size 30
and her average proportion is 11%.
What is your estimate of the true proportion of yellow candies in the
machine? Why?

Answers

This question is solved using sampling, and proportions concepts.

The sample proportion is the point estimate for the population proportion, and we use this to find the estimate, which we find as 15% = 0.15, which is the sample proportion.

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

Proportion:

A proportion is the number of desired outcomes divided by the number of total outcomes.

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

In this question:

You take a sample of 30 candies. Your sample proportion

of yellow candies is 15%.

Thus, the point estimate of the true proportion of yellow candies in the sample, according to your sample, is of 15%.

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

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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME THE STEP BY STEP EXPLANATION!!
The data value that occurs most often in a data set is the ____________.
A. mode
B. median
C. mean
D. range

Answers

mode is the data that occurs most often in a data

HELP FAST 100 POINTS - please show how you got it thank you

Which theorem/postulate can be used to prove ∆PQR ≅ ∆STU?
What is the perimeter of ∆PQR?

Answers

side angle side (SAS) is the postulate because we can clearly see that two of the sides of the triangles are congruent (9 & 14), as well as the Q and T angle.

the perimeter is 43

6y+5=8y

y= 5/2

9+14+6(5/2)+5= 43

Answer:

Solution given:

In ∆ PQR and ∆ STQ

PQ=ST=9ft given

<Q=<T given

QR=TU = 14ft [given]

S.A.S axiom therom is used to prove

∆PQR ≅ ∆STU

Since ∆PQR ≅ ∆STU

their corresponding side is equal.so

6y+5=8y

5=8y-6y

2y=5

y=5/2

now

perimeter of ∆ PQR=sum of all sides

=9ft +14ft+ 6*5/2+5=43ft

Which exponential function is represented by the graph?

Answers

Answer:

Answer is option (B)......

What is the HCF for 20 40 35

Answers

Answer:

5

Step-by-step explanation:

Prime factorize 20 , 40 , 35

20 = 2 * 2 * 5

40 = 2 * 2 * 2 * 5

35 = 5 * 7

HCF = 5  

HCF is the common factor found in 20 , 40 and 35  

Answer:

Below

Step-by-step explanation:

The HCF or GCF of these number would be 5!

5 x 4 = 20

5 x 8 = 40

5 x 7 = 35

Hope this helps!

A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for each person that
attends. Write an equation where d is the total donation and p in the number of people that attend.

Answers

Answer:

200 divided 4

Step-by-step explanation:

Can some one help me answer this

Answers

7. √9

√9 is a rational number because √9 = 3 = 3/1.

8. No, there is no integer between -6 and -7.

9. π

π is an irrational number

 Which correlation best describes the data below.

Answers

Answer:

Weak positive correlation

What are the equivalent expressions

Answers

Answer:

a)=4x

b)= use common factor

=72y−32

=8(9y-4)

What is the volume of the solid?

Answers

Answer:

C

Step-by-step explanation:

The formula for this solid is

V = B * h

B = L * W

L = 5

W = 3

B = 3*5

B = 15

V = B * h

V = 15 * 7

V = 105

Answer:

V = 105 in ^3

Step-by-step explanation:

The volume of a rectangular prism is

V = l*w*h  where l is length, w is width, and h is height

V = 7*5*3

V = 105 in ^3

If sin A= 0.8, find the positive value of cos A​

Answers

Answer:

cosA = 0.6

Step-by-step explanation:

Using the Pythagorean identity

sin²A + cos²A = 1 ( subtract sin²A from both sides )

cos²A = 1 - sin²A ( take the square root of both sides )

cosA = ± [tex]\sqrt{1-sin^2A[/tex]

Since only the positive value is required , then

cosA = [tex]\sqrt{1-(0.8)^2}[/tex]

         = [tex]\sqrt{1-0.64}[/tex]

         = [tex]\sqrt{0.36}[/tex]

         = 0.6

Answer:

Answer:

Answer:x = 25°

Answer:x = 25°Step-by-step explanation:

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2}

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 2

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2}

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 2

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°


2. Find a true inequality that involves the real number 5/4

Answers

Answer:

c

Step-by-step explanation:

5/4>6/5

multiply by 20

25>24

which is true.

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