Which equation is true?
O 9x²-25= (3x - 5)(3x - 5)
O9x2-25= (3x - 5)(3x + 5)
+ 5)(3x + 5)
O9x²-25=-(3x
O9x²-25=-(3x
+ 5)(3x - 5)

The completed square form of the quadratic equation y = 2x² - 7x - 4 is:

y = 2(x - 7/8)² - 121/32

We have,

To complete the square of the quadratic equation y = 2x² - 7x - 4, we can follow these steps:

- Rewrite the quadratic equation in the form y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

- To get the value of h, we can use the formula h = -b/2a, where a = 2,

b = -7.

So,

h = -(-7)/2(2) = 7/4

- To get the value of k, we can substitute h into the equation and simplify.

y = 2(x² - (7/4)x) - 4

= 2(x² - (7/4)x + (7/8)²) - 2(7/8)² - 4

= 2(x - 7/8)² - 121/32

Therefore,

The completed square form of the quadratic equation y = 2x² - 7x - 4 is:

y = 2(x - 7/8)² - 121/32

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

{x,y} = {10,2}

Step-by-step explanation:

Solve equation [2] for the variable  y

[2]    y = -2x + 22

Plug this in for variable  y  in equation [1]

[1]    x - 5•(-2x+22) = 0

  [1]    11x = 110

Solve equation [1] for the variable  x

  [1]    11x = 110

  [1]    x = 10

By now we know this much :

   x = 10

   y = -2x+22

Use the  x  value to solve for  y

   y = -2(10)+22 = 2

The solution to the system is:

x = 22/3

y = 22/15

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We are given the following system of equations:

x = 5y ---(1)

y = 22 - 2x ---(2)

Substituting equation (1) into equation (2) for y, we get:

5y = 22 - 2x (substituting x = 5y from equation 1)

5y + 2x = 22

We now have two equations with two unknowns:

x = 5y ---(1)

5y + 2x = 22 ---(3)

Substituting equation (1) into equation (3) for x, we get:

5y + 2(5y) = 22 (substituting x = 5y from equation 1)

5y + 10y = 22

15y = 22

y = 22/15

Now that we have y, we can substitute it into equation (1) to find x:

x = 5y

x = 5(22/15)

x = 22/3

Therefore,

The solution to the system is:

x = 22/3

y = 22/15

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

8 4/5

Step-by-step explanation:

Answer:

this is the answer i hope it helps you 3 33/40

Answer:

0.04997916927

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

arcsin(0.5) deg

= 30

Answer: 62,390

Step-by-step explanation:

62,390

or if you meant the comma as a period, then it is 62.4

Answer: n= 80 ×48+ 34×20

Step-by-step explanation:

Given: Number of large boxes = 80

Number of small boxes = 34

Number of markers in each large box = 48

Number of markers in each small box = 20

Total markers = (Number of large boxes)x (Number of markers in each large box) + (Number of small boxes) x (Number of markers in each small box)

Total number of markers = n (given)

Then, n= 80 ×48+ 34×20

Therefore, the equation could be used to find n, the total number of markers in stock: n= 80 ×48+ 34×20

This is luck bear he wish you luck

▒▒▒▒▒▒█▓▓█▒██▓▓▓██▒█▓▓█

▒▒▒▒▒█▓▒▒▓█▓▓▓▓▓▓▓█▓▒▒▓█

▒▒▒▒▒█▓▒▒▓▓▓▓▓▓▓▓▓▓▓▒▒▓█

▒▒▒▒▒▒█▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓█

▒▒▒▒▒▒▒█▓▓▓▓▓▓▓▓▓▓▓▓▓█

▒▒▒▒▒▒▒█▓▓█▓▓▓▓▓▓█▓▓▓█

▒▒▒▒▒▒▒█▓▓██▓▓▓▓▓██▓▓█

▒▒▒▒▒▒█▓▓▓▓▒▒█▓█▒▒▓▓▓▓█

▒▒▒▒▒█▓▓▒▒▓▒▒███▒▒▓▒▒▓▓█

▒▒▒▒▒█▓▓▒▒▓▒▒▒█▒▒▒▓▒▒▓▓█

▒▒▒▒▒█▓▓▓▓▓▓▒▒▒▒▒▓▓▓▓▓▓█

▒▒▒▒▒▒█▓▓▓▓▓▓███▓▓▓▓▓▓█

▒▒▒▒▒▒▒█▓▓▓▓▓▓▓▓▓▓▓▓▓█

▒▒▒▒▒▒█▓▓▓▓▒▒▒▒▒▒▒▓▓▓▓█

▒▒▒▒▒█▓▓▓▓▒▒▒▒▒▒▒▒▒▓▓▓▓█

▒▒▒▒█▓▓▓█▓▒▒▒▒▒▒▒▒▒▓█▓▓▓█

▒▒██▓▓▓█▓▒▒▒██▒██▒▒▒▓█▓▓▓██

▒█▓▓▓▓█▓▒▒▒▒█▓█▓█▒▒▒▓█▓▓▓▓█

█▓██▓▓█▓▒▒▒▒█▒▓▒█▒▒▒▒▓█▓▓██▓█

█▓▓▓▓█▓▓▒▒▒▒█▓▒▓█▒▒▒▒▓▓█▓▓▓▓█

▒█▓▓▓█▓▓▒▒▒▒▒█▒█▒▒▒▒▒▓▓█▓▓▓█

▒▒████▓▓▒▒▒▒▒▒█▒▒▒▒▒▒▓▓████

▒▒▒▒▒█▓▓▓▒▒▒▒▒▒▒▒▒▒▒▓▓▓█

▒▒▒▒▒▒█▓▓▓▒▒▒▒▒▒▒▒▒▓▓▓█

▒▒▒▒▒▒█▓▓▓▓▒▒▒▒▒▒▒▓▓▓▓█

▒▒▒▒▒▒▒█▓▓▓▓▓█▓█▓▓▓▓▓█

▒▒▒▒▒▒▒▒█▓▓▓▓▓█▓▓▓▓▓█

▒▒▒▒▒████▓▓▓▓▓█▓▓▓▓▓████

▒▒▒▒█▓▓▓▓▓▓▓▓▓█▓▓▓▓▓▓▓▓▓█

Answer:

80 × 48 + 34 × 20= n

Step-by-step explanation:

80 times 48 accounts for all of the markers in the large boxes and 34 times 20 accounts for all the markers in the small boxes, add them up and you have the total number of markers.

The surface area of the pyramid is 975 square units

The lateral surface area of the pyramid is 87. 25 square units

The formula for calculating the surface area of a pentagonal pyramid is expressed with the equation;

S = 5/2b(a + s)

Given that the parameters are;

Now, substitute the values

Surface area = 5/2(13)(8. 9 + 21. 9)

expand the bracket

Surface area = 5/2 13(30)

divide the values

Surface area = 1950/2

Surface area = 975 square units

The lateral surface area  is;

Lateral surface area = 5/2(s + l)

Lateral surface area = 5/2(13 + 21.9) = 174. 5/2 = 87. 25 square units

Learn about pentagonal pyramid at: https://brainly.com/question/16315924

#SPJ1

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

For more such questions on explicit

https://brainly.com/question/30394385

#SPJ8

Answer:

Slope (m) =  

ΔY

ΔX

=  

1

2

= 0.5

θ =  

arctan( ΔY )

ΔX

= 26.565051177078°

ΔX = 5 – 1 = 4

ΔY = 8 – 6 = 2

Distance (d) = √ΔX2 + ΔY2 = √20 = 4.4721359549996

Equation of the line:

y = 0.5x + 5.5

or

y =  

1 x

2

+  11

2

When x=0, y = 5.5

When y=0, x = -11

Answer:

y2 - y1 = Δy, or vertical change, while x2 - x1 = Δx, ... Given the points (3,4) and (6,8) find the slope of the line, the distance between the two points, and the angle of incline: m = 8 - 4. 6 - 3. = 4. 3. d = √(6 - 3)2 + (8 - 4)2 = 5 ...

Step-by-step explanation:

1kg = 1000g

51/2 kg= 51/2×1000=51×500=25500g

25500g+450g= 25950g

Answer:

\(5950g\)

Step-by-step explanation:

\(5 \frac{1}{2} kg \\ = 5kg \: 500g \\ = 5500g\)

\( \: \: \: \: \: \: 5500g \\ + \: \: \: \: 450g \\ =5950 g\)

\( = 5950g = 5kg \: 950g\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

I think its C

Step-by-step explanation:

Answer:

$12 dollars a ticket

The expression for the given phrase is 0.15x-0.15y.

Given that, 15% of the difference of x and y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, difference of x and y is

x-y

15% of the difference of x and y

So, 15% of (x-y)

15/100 ×(x-y)

= 0.15 ×(x-y)

= 0.15x-0.15y

Therefore, the expression for the given phrase is 0.15x-0.15y.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

The estimated change in y is apprοximately 20.96 when x changes frοm 0.1 tο 4.

A triangle is a three-sided pοlygοn with three angles. It is οne οf the simplest and mοst basic shapes in geοmetry, and is characterized by its three straight sides and three angles that add up tο 180 degrees.

Tο use linear apprοximatiοn tο estimate the change in y, we need tο first find the equatiοn οf the tangent line tο the curve \(y = 2x^2 + 6x + 4\) at x = 0.1.

The first derivative οf y with respect tο x is:

dy/dx = 4x + 6

At x = 0.1, the slοpe οf the tangent line is:

m = dy/dx at x = 0.1 = 4(0.1) + 6 = 6.4

The equatiοn οf the tangent line is then:

y - y(0.1) = m(x - 0.1)

Substituting \(y(0.1) = 2(0.1)^2 + 6(0.1) + 4 = 4.6\) and m = 6.4, we get:

y - 4.6 = 6.4(x - 0.1)

Simplifying, we get:

y = 6.4x + 3.94

Nοw we can estimate the change in y when x changes frοm 0.1 tο 4 using the tangent line equatiοn:

triangle y = y(4) - y(0.1)

= (6.4)(4) + 3.94 - (6.4)(0.1) - 4.6

= 25.94 - 4.98

= 20.96

Therefore, the estimated change in y is approximately 20.96 when x changes from 0.1 to 4.

Tο learn more about triangle from the given link: brainly.com/question/2773823

#SPJ1

Answer:

Store C

Step-by-step explanation:

store a is selling 10 pencils for $2.50

$2.50 divided by 10 is 25 cents

so the price for store a is 25 cents per pencil

store b is selling 50 pencils for $6.00

$6.00 divided by 50 is 12 cents

so the price for store b is 12 cents per pencil

store c is selling 100 pencils for $8.25

$8.25 divided by 100 is 8.25 cents

obviously you can't give someone .25 cents so round it down to 8

so the price for store c is 8 cents per pencil

store d is selling 250 pencils for $21.25

$21.25 divided by 250 is 8.5 cents

which rounds up to 9 cents per pencil

Store c has the lowest price for one pencil

Answer:  70%

Step-by-step explanation: 21 out of 30 students have 5 or more vowels in their name and 21/30 as a percentage is 70% so that is your answer

The percentage of the students who have 5 or more vowels in their first and last names will be 70%.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Ms. Gonzales gathered data on the number of vowels in the first and last names of each of her students.

Then the percentage of the students who have 5 or more vowels in their first and last names will be

\(\rm P = \dfrac{21}{30} \times 100\\\\P = 70\%\)

Twenty-one out of thirty kids had five or more vowels in their names, which equals 70%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Answer:

1. fraction=51/94

decimal= 51/94 a decimal is approximate: 0.54255 (Rounded to fifth decimal place)

2. fraction= 2/8

decimal= 2/8 as a decimal is 0.25.

3. fraction= 75/5

decimal= 75/5 as a decimal is 15.

Answer:

sorry i could only answer the first one hope it helps as a decimal 0.54255

Step-by-step explanation:

aswdqr4f 4crd

(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.

(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:

P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5

Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.

(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:

f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1

Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).

(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:

P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)

We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:

∫[0,1/8] 24xy dx = 27/128

To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:

∫[0,1/4] 24xy dx = 3

Thusly, the contingent Probability is:

P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128

(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:

P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx

= 7/36

Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36

To learn more about marginal density function and probability, refer:

https://brainly.com/question/15109814

#SPJ4

The complete question is:

A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.

Answer:

Step-by-step explanation:

question one: his mom will pay $2.1 in taxes

thats all i can answer

Answer:

y=-2x

Step-by-step explanation:

rise over run. Points to points

you do down 2 to get to another point and you go over 1.

rear makes the slope -2x

Answer:

10000

Step-by-step explanation:

100 hugs x 100 hugs

= 10,000 hugs.

Answer:

I'm here to help. If you can put a picture of the answer choices I can give you the answer!

Step-by-step explanation:

Answer:

A. 0

Step-by-step explanation:

A. 0   rational, integer, real

B. there is no such thing   false; yes there is

C. -4/7    rational, real, not integer

D. pi4     real, not integer, not rational

Answer: A. 0