6x^2=-3x+1 to the nearest hundredth

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ1

The values of the composite functions are

(1) (f + g)(x) = 4x² + 2x - 2

(2) (fg)(x) = 8x³ - 4x² - 2x + 1

(3) (fⁿ)(x) = (4x² - 1)ⁿ

From the question, we have the following functions that can be used in our computation:

f(x) = 4x² - 1

g(x) = 2x - 1

Using the above as a guide, we have the following:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 4x² - 1 + 2x - 1

Evaluate the like terms

(f + g)(x) = 4x² + 2x - 2

(fg)(x) = f(x) * g(x)

(fg)(x) = (4x² - 1) * (2x - 1)

Evaluate the products

(fg)(x) = 8x³ - 4x² - 2x + 1

(fⁿ)(x) = (f(x))ⁿ

So, we have

(fⁿ)(x) = (4x² - 1)ⁿ

Read more about composite functions at

https://brainly.com/question/10687170

#SPJ1

Answer:

Step-by-step explanation:

x+y+z=27

x+y=17

z=?

since x+y=17

then

17+z=27

z=27-17

z=10

Answer: To prove the given identity:

(cosec A - sec A)(cot A - tan A) = (cosec A + sec A)(sec A cosec A - 2)

We will start by simplifying both sides of the equation.

Left-hand side (LHS):

(cosec A - sec A)(cot A - tan A)

Using trigonometric identities, we can rewrite cosec A, sec A, cot A, and tan A in terms of sin A and cos A:

Substituting these values into the LHS:

(cosec A - sec A)(cot A - tan A)

= (1/sin A - 1/cos A)(cos A / sin A - sin A / cos A)

= ((cos A - sin A) / (sin A * cos A)) * ((cos A^2 - sin A^2) / (sin A * cos A))

= (cos^2 A - sin^2 A) / (sin^2 A * cos^2 A) [Using the difference of squares identity: a^2 - b^2 = (a + b)(a - b)]

= ((cos A + sin A)(cos A - sin A)) / (sin^2 A * cos^2 A)

Right-hand side (RHS):

(cosec A + sec A)(sec A cosec A - 2)

Again, using the same trigonometric identities:

Now, we need to show that the LHS is equal to the RHS:

((cos A + sin A)(cos A - sin A)) / (sin^2 A * cos^2 A) = (cos A + sin A) / (sin^2 A * cos^2 A) * (1 - 2sin^2 A * cos^2 A)

To prove this, we can cancel out the common factors in the numerator and denominator of the LHS:

(cos A - sin A) = 1 - 2sin^2 A * cos^2 A

Next, we'll simplify both sides individually:

Therefore, the LHS is equal to the RHS, and the given identity has been proven.

The measure of the arc or angle indicated are:

(9). m∠KLN = 55°, (10). m∠LMN = 40°, (11). arc RT = 61°, (12). arc PR = 240°, (13). arc EG = 150° and (14). arc ? = 225°

(9). m∠KLN = 1/2(arc NK - arc MK) {secant tangent angle}

m∠KLN = 1/2(160 - 50)

m∠KLN = 110/2

m∠KLN = 55°

(10). m∠LMN = 1/2(140 - 60)

m∠LMN = 80/2

m∠LMN = 40°

(11). 60° = 1/2(181 - arc RT)

120° = 181 - arc RT {cross multiplication}

arc RT = 181 - 120

arc RT = 61°

(12). Angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference.

arc PR = 2(120)

arc PR = 240°

(13). arc EG = 2(75)

arc EG = 150°

(14). m∠TUV = 180 - arc TV {angle between two tangents}

arc TV = 180 - 45

arc TV = 135°

the larger arc ? = 360° - 135°

arc ? = 225°.

Therefore, the measure of the arc or angle indicated are:

(9). m∠KLN = 55°, (10). m∠LMN = 40°, (11). arc RT = 61°, (12). arc PR = 240°, (13). arc EG = 150° and (14). arc ? = 225°

Read more about arc and angle here:https://brainly.com/question/29545060

#SPJ1

The solution is :  (5-b ) is the expression that shows the number of books Hazel checked out.

Here, we have,

given that,

Bill checked out 5 books from the library.

Hazel checked out b fewer books than Bill.

now, we have to find the expression that shows the number of books Hazel checked out.

let,

that shows the number of books Hazel checked out = x

so, we have,

that shows the number of books Hazel checked out =  b fewer books than Bill.

as, Bill checked out 5 books from the library.

so, we get,

the number of books Hazel checked out = 5 - b

so, we have,

x = 5-b

Hence, The solution is :  (5-b ) is the expression that shows the number of books Hazel checked out.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ1

The area of the triangle in the shaded region is derived to be 29.75 square inches.

For any triangle, the area is calculated as half the base multiplied by the height of the triangle, that is;

Area of triangle = 1/2 × base × height

For the triangle in the shaded region;

base = 8.5 inches

height = 7 inches

area of the triangle = 1/2 × 8.5 in × 8.5 in

area of the triangle = (59.5/2) in²

area of the triangle = 29.75 in²

Therefore, the area of the triangle in the shaded region is derived to be 29.75 square inches.

Read more about area here:https://brainly.com/question/17335144

#SPJ1

54° is the value of the given angle BAC.

As we know that the arc and angles formed by intersecting chords,

θ = (α + β)/2    .....(i)

According to the given figure, we have

θ = 10x+4

α =9x-12

β = 12x +15

Substitute the value in equation (1)

10x+4 = (9x-12+12x +15)/2

20x+8 = 21x +3

x = 8-3

x = 5

Thus,

∠BAC = θ

= 10*5+4

= 50 + 4

=54

Therefore, the value of the given angle will be 54°.

Learn more about the chord theorem here:

https://brainly.com/question/15298662

#SPJ1

It is possible for a sample to follow a normal distribution, depending on the nature of the data being accumulated.

The regular distribution is a bell-shaped curve that is symmetric across the mean, and it's far typically used to model various natural phenomena and measurements in fields such as information, engineering, and social sciences.

If the data being gathered is continuous and the sample length is large sufficient, it is regularly assumed that the pattern follows a normal distribution.

This assumption is based at the critical limit Theorem, which states that the sampling distribution of the suggest of any independent, random variable will tend toward a ordinary distribution because the sample size increases.

But, it's far critical to notice that not all samples will observe a ordinary distribution, and in a few cases, different distributions may be greater suitable for the records being amassed.

It's far consequently essential to analyze the information and evaluate the assumptions being made before using the regular distribution as a model.

Learn more about normal distribution:-

https://brainly.com/question/23418254

#SPJ1

Answer:18

Step-by-step explanation:

The equation of the line is y = x/7 - 1/7

The equation of a straight line is y=mx+c . Where m is the gradient or slope and c is the height at which the line crosses the y -axis, also known as the y -intercept.

The equation of a line can be expressed as;

y-y1 = m(x -x1)

where m is the slope

The slope = 1/7

x1 = 8 and y1 = 1

Therefore;

y -1 = 1/7( x -8)

7(y-1) = x-8

7y -7 = x-8

collecting like terms

7y = x - 8+7

7y = x -1

y = x/7 -1/7

The intercept is -1/7 and the slope is 1/7

learn more about equation of a line from

https://brainly.com/question/18831322

#SPJ1

Answer:

A. Because it would simplify this equation.

The value of side EA is,

EA = 16.9

We have to given that;

Circle E with diameter CD and radius EA.

And, AB is tangent to E at A.

Here, AB = 34 and EB = 38

Hence, By using Pythagoras theorem we get;

AB² + AE² = EB²

34² + AE² = 38²

1156 + AE² = 1444

AE² = 1444 - 1156

AE² = 288

AE = √288

AE = 16.9

Thus, The value of side EA is,

EA = 16.9

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ1

The given supply curve is: Qs = 6700 + 75P

To find how many AirPods Apple would produce at a price of $185, we can substitute P = $185 in the equation and find the corresponding quantity (Qs).

Qs = 6700 + 75P Qs = 6700 + 75($185) Qs = 6700 + 13875 Qs = 20575

Therefore, at a price of $185, Apple would produce 20,575 AirPods according to the given supply curve.

The price of the jeans will decrease because supply is greater than demand hence the stores will sell them at discounted prices.

The store owners would be forced to cut pricing if the jeans weren't purchased at all or as frequently as the other brands. Either they choose that choice, return the goods if possible  or just toss the jeans away. It generally takes some trial and error to determine the proper price.

For instance, the owner may lower the price to $75 and test whether the 25% discount works or not if the jeans initially sell for $100 and nobody buys them for a week.

The price might remain there if people continue to buy and if not, the cost might decrease even further.

Learn more about demand at:

https://brainly.com/question/1245771

#SPJ1

Answer:A

Step-by-step explanation:

Note that the substance(s) that Jacob and Natalie should use to make a cold pack that will do the BEST job of keeping food cool is " Sample 1, because it absorbs the most energy" (option A)

In physics, energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.

Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed

Learn more about energy at:

https://brainly.com/question/13881533

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

People use self-warming and self-cooling devices for many purposes such as keeping drinks cold or food warm. Medical professionals also use these types of devices to store medicines and other substances that need to stay colder than room temperature. These cooling and warming devices use a chemical reaction to produce their chilling and warming effects. Compounds combine in endothermic (heat absorbing) or exothermic (heat releasing) reactions within these devices to help them keep items cool or warm.

Jacob and Natalie are asked by their science teacher to design a warming or cooling device. They decide to design a cold pack that can be used to help keep food cool. Jacob

and Natalie read about different substances that can be used inside cold packs and learn that most cold packs use endothermic reactions to cool objects. They find the table below while researching.

Which sample uses the substance(s) that Jacob and Natalie should use to make a cold pack that will do the BEST job of keeping food cool?

answer choices

Sample 1, because it absorbs the most energy

Sample 2, because it absorbs the most energy

Sample 3, because it absorbs the least energy

Sample 4, because it absorbs the least energy

The classification , symmetry , maximum r-values and the zeroes of the function are solved

Given data ,

a)

Let the function be represented as A

Now , the value of A is

r² = 25 sin( 2θ )

The equation represents a cardioid

It is symmetric about the polar axis.

The maximum values of r occur at θ = (π/4) + kπ/2, and the maximum value of r is 5.

The equation has zeroes at θ = kπ/2, and the corresponding values of r are given by r = 0

b)

The equation represents a limaçon.

It is symmetric about the polar axis.

The maximum value of r is 7.

The equation has zeroes at θ = arccos(1/3) + 2kπ or θ = -arccos(1/3) + 2kπ, and the corresponding values of r can be found by substituting into the equation r = 4 - 3cos(θ).

c)

The equation represents an Archimedean spiral.

It does not possess any symmetry.

There is no maximum r value.

The equation has a zero at θ = 1/2.

Hence , the zeroes of the function are solved

To learn more about symmetry of functions click :

https://brainly.com/question/29292066

#SPJ1

Answer:

The correct answer:

(A) WZ/WX = XW/YW

Answer:

3/4

Step-by-step explanation:

NW is 45° counterclockwise (anticlockwise) to North

If she turns 45° anticlockwise she will be facing directly west

If she turns another 180° anti clockwise, she will be facing east

To fact NE she must turn another 45°anticlockwise

Total anti-clockwise turn in degrees = 45 + 180 + 45 = 270°

One complete turn is 360°

So the total turn Miko made as a fraction of a complete turn
= 270/360

= 3/4

The measure of a length of 10cm on the scale is 1/6 units

From the question, we have the following parameters that can be used in our computation:

Scale = 1 : 60

For a length of 10 cm, we have

Actual length = 10 cm

This means that

Scale ; 10 cm = 1 : 60

Express as fraction

So, we have

Scale/10 cm = 1/60

When evaluated we have

Scale = 1/6 units

Hence, the measure of a length of 10cm on the scale is 1/6 units

Read more about scale drawing at

https://brainly.com/question/29229124

#SPJ1

The value of the unknown c in the algebraic fraction equation is equal to -24

To solve the simple algebraic fraction equation, we cross multiply to eliminate the fractions, then simplify by solving for the unknown

Given the algebraic equation:

-c/6 = 4

(-c/6) × 6 = 4 × 6

-c = 4 × 6

-c = 24

multiply both sides by -1

-1 × -c = -1 × 24

c = -24

Therefore, the value of the unknown c in the algebraic fraction equation is equal to -24

Read more about algebraic fraction here:https://brainly.com/question/11875858

#SPJ1

The volume of the rectangular prism in this problem is given as follows:

99 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem can be divided into two prisms, with dimensions given as follows:

Hence the volume of the prism is given as follows:

V = 3 x 5 x 1 + 6 x 2 x 7

V = 99 ft³.

A similar problem about the volume of rectangular prisms is presented at brainly.com/question/22070273

#SPJ1

Answer:

Step-by-step explanation:

Answer:

1/12 gallons

Step-by-step explanation:

We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.

Step 1:  Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2

(1/6) * (2/2) = 2/12

Step 2:  Now we can subtract 1/12 from 2/12:

2/12 - 1/12 = 1/12

Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.

Answer:

  (e)  $13,480

Step-by-step explanation:

You want the estimated profit from selling 60 computers, if the profit from selling x computers is P = 4x² -15x -20.

Put 60 where x is in the profit equation and do the arithmetic.

The result is an estimated profit of $13,480.

__

Additional comment

To simplify evaluation, the polynomial can be written in "Horner form:"

  P = (4x -15)x -20

Evaluating it this way takes fewer math operations and generally involves smaller numbers.

<95141404393>

Answer:

130 degrees

Step-by-step explanation:

DE+DA=130

The function h(x) = (2ˣ) + 1 does not have an x intercept.

A function has an x-intercept when the value of the function is equal to zero at some point on the x-axis.

(a) f(x) = -x + 2 is a linear function with a negative slope (-1) and a y-intercept of 2.

To find the x-intercept, we set f(x) equal to zero and solve for x:

0 = -x + 2

x = 2

Therefore, the function f(x) has an x-intercept at (2, 0).

(b) g(x) = -(x²) is a quadratic function that opens downward and has a vertex at (0, 0).

To find the x-intercept, we set g(x) equal to zero and solve for x:

0 = -(x²)

x²= 0

x = 0

Therefore, the function g(x) has an x-intercept at (0, 0).

(c) h(x) = (2ˣ) + 1 is an exponential function

To find the x-intercept, we set h(x) equal to zero and solve for x:

0 = (2ˣ) + 1

-1 = 2ˣ

However, there is no real value of x that satisfies this equation.

h(x) = (2ˣ) + 1 has no x intercept.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

Answer:

(b) 20

Step-by-step explanation:

We are trying to solve a-13 = ____ for when a=33.

Substitute 33 for a.

33-13 = 20

the answer is b) 20

This transformation of the polygon ABCD to A'B'C'D' is a by a factor of 2√5.

The coordinates are given as:

First polygon: A (-3, 7), B (-4, 9), C (-7, 9), and D (-4, 5).

Second polygon: A' (3, -4), B'(3, 6), C'(8, 2.8), and D'(7.2, -1.9)

Calculate the distance AB and A'B' using:

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ AB = √ (-4 + 3)² + (9 - 7)²

⇒ AB = √1 + 4

⇒ AB = √5

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ A'B' = √ (3 - 3)² + (6 + 4)²

⇒ A'B' = 10

This gives, Divide A'B' by AB to determine the scale factor (k)

k = 10 / √5

k = 2√5

Hence, this transformation is a by a factor of 2√5

Read more about transformation at:

brainly.com/question/4289712

#SPJ1

Answer:

Reflection and 2

Step-by-step explanation:

for plato