A quadratic function f is given.f(x) = x² + 6x(a) Express f in standard form.f(x) =_____

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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Answer:

2 2/3 hours.

Step-by-step explanation:

If her washs once a week, he will wash 4 times in 4 weeks.

2/3 * 4 = 8/3

2 2/3.

Answer:

Explanation:

The first step is to find the equation of both lines. The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m is the slope

c is the y intercept. It is the value of y at the point where the line cuts the vertical axis.

The formula for calculating slope is expressed as

m = (y2 - y1)/(x2 - x1)

where

y1 and y2 are the y coordinates of selected initial and final points on the line.

x1 and x2 are the x coordinates of the selected initial and final points on the line.

Considering labelled points on y = f(x),

when x1 = 0. y1 = - 3

when x2 = 2, y2 = 1

m = (1 - - 3)/(2 - 0) = 4/2 = 2

y intercept, c = - 3

The equation would be

y = f(x) = 2x - 3

Considering labelled points on y = g(x),

when x1 = 0. y1 = 6

when x2 = 2, y2 = - 2

m = (- 2 - 6)/(2 - 0) = - 8/2 = - 4

y intercept, c = 6

The equation would be

y = g(x) = - 4x + 6

The solution of both equations is the coordinate of the point of intersection. Thus,

Solution = (1.5, 0)

Given that

g(x) = kf(x), it means that

- 4x + 6 = k(2x - 3)

Substituting x = 1.5 into the equation, we have

- 4(1.5) + 6 = k(2 * 1.5) - 3

- 6 + 6 = 3k - 3

0 = 3k - 3

3k = 3

k = 3/3

k = 1

The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.

If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

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Answer:

(4). g(2) > f(2) False

Step-by-step explanation:

(1). (f(0) = 2) > (g(0) = - 4) (True)

(2). f( - 4) = 4( - 4 ) + 2 = - 14

g( - 4) = (5/2)(- 4) - 4 = = - 14

f( - 4) = g( - 4) (True)

(3). f(6) = 4(6) + 2 = 26

g(12) = (5/2)(12) - 4 = 26

f(6) = g(12) (True)

(4). g(2) = (5/2)(2) - 4 = 1

f(2) = 4(2) + 2 = 10

g(2) > f(2) (False)

Answer:

144 feet

5 seconds

Step-by-step explanation:

A directly proportional distance between s and  t can be written as
s ∝ t²

or in equation form

s(t) = k · t²

k = constant of proportionality

Given s = 16 feet for t = 1 second we get

16 = k (1)²

or

k = 16

and the equation is s(t) = 16t²

In 3 seconds the object will fall
s(3) = 16 (3)²

= 16 x 9

= 144

s(3) = 144

To find time taken to fall 400 feet, substitute for s s(t) = 400

400 = 16t²

16t² = 400

t² = 400/16 = 25

t = ± √25 = ± 5 seconds

Since time is non-negatiive,

t = 5 seconds

Answer: -5b cubed

Step-by-step explanation:

Answer:

No, it cannot have a unique solution. Because there are more variables than​ equations, there must be at least one free variable. If the linear system is consistent and there is at least one free​ variable, the solution set contains infinitely many solutions. If the linear system is​ inconsistent, there is no solution.

Step-by-step explanation:

the questionnaire options are incomplete, however the given option is correct

We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution

To solve such problems we must know about the system of equations and underdetermined systems.

The system of equations doesn't have a unique solution.

When a system of equations has more variables than the equation, therefore, it has fewer rules to curb the variables, giving the variables more freedom to take up values from their respective domain(Usually it is a set of real numbers), in such a condition the system of equations has infinite solutions. This kind of system is known as an underdetermined system.

Hence, the system of equations doesn't have a unique solution.

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Answer:

y=3/4x+2

Step-by-step explanation:

Answer:

\(\displaystyle 380,13271108...\:yd.^2\)

Step-by-step explanation:

\(\displaystyle {\pi}r^2 = A \\ \\ 11^2\pi = A \hookrightarrow 121\pi = A \\ \\ \boxed{380,13271108... = A}\)

If you want to follow what the exercise wants, then multiplying \(\displaystyle 3,14\)by the square of the radius will give you \(\displaystyle 379,94\:yd.^2.\)

I am joyous to assist you at any time.

Answer:

30

Step-by-step explanation:

The equation will be:

x - (10% of x) = 27

x - 0.1x = 30

0.9x = 30

Divide by 0.9

x = 30

The number is 30

Second question:

Length = 2x - 3

Width = x

Perimeter = 72

Perimeter = 2(l + w)

= 2(2x - 3 + x) = 72

4x - 6 + 2x = 72

6x = 72 + 6

6x = 78

w = 78/6 = 13

The width is 13 meters

Answer: two thirds

Step-by-step explanation:

Consonents -> M, T, H, S, F, N    (6 of them)

Vowels(non-consonents) -> A, I, U   (3 of them)

Total number of letters = 6 + 3 = 9

Probability = 6/9 = 2/3

Answer:

\(A \approx 421.1\)

Step-by-step explanation:

We can split this figure into two simpler shapes:

First, we can find the area of the parallelogram.

\(A_\square = b \cdot h\)

\(A_\square = 24 \cdot 11\)

\(A_\square = 264\)

Next, we can find the area of the semicircle. We know that its diameter (\(2r\)) is 20 because opposite sides of a parallelogram are the same length. Therefore, its radius is \(20 \div 2 = 10\).

\(A_\circ = \dfrac{1}{2} \cdot \pi r^2\)

\(A_\circ = \dfrac{1}{2} \cdot \pi (10)^2\)

\(A_\circ = \dfrac{1}{2} \cdot 100 \pi\)

\(A_\circ = 50\pi\)

Finally, we can find the area of the entire figure by adding the areas of each of its parts.

\(A = A_\square + A_\circ\)

\(A= 264 + 50\pi\)

\(\boxed{A \approx 421.1}\)

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer: (-4, 10)

Step-by-step explanation:

Answer:

I'm pretty sure its (-4, 10)

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Answer:

slope intercept form

Step-by-step explanation:

Answer:

Slope intercept form

m - slope

b - y intercept

Answer:

T

Step-by-step explanation:

T is the vertex because vertex is the point from which the arms of any angle form.

Answer:

The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)

The measure of the indicated arc angle is 134 degrees.

The angle subtended by the arc at the centre of the circle is the angle of the arc.

Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.

Hence, the central angle is also known as the arc's angular distance.

Therefore, the measure of an arc is the measure of its central angle.

Hence, the measure of the indicated arc is 134 degrees.

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Answer:

(20,4)

Step-by-step explanation:

Brainliest pls

Answer:

d

Step-by-step explanation:

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Answer:

In this case, the greatest common factor is 4.

Step-by-step explanation:

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

it is 5h+6.5

Step-by-step explanation:

e d g e n u i t y

Answer:

B/ 5h + 6.5

Step-by-step explanation:

i did the quiz

Answer:

a) The velocity at which the water leaves the gun = 37.66 m/s

b) The volume rate of flow = (1.183 × 10⁻⁴) m³/s

c) The water hits the ground 18.64 m from the point where the water gun was shot.

Step-by-step explanation:

a) Using Bernoulli's equation, an equation that is based on the conservation of energy.

P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂

The two levels we are considering is just inside the water reservoir and just outside it.

ρgh is an extension of potential energy and since the two levels are at the same height,

ρgh₁ = ρgh₂

Bernoulli's equation becomes

P₁ + ½ρv₁² = P₂ + ½ρv₂²

P₁ = Pressure inside the water reservoir = 8 atm = 8 × 101325 = 810,600 Pa

ρ = density of water = 1000 kg/m³

v₁ = velocity iof f water in the reservoir = 0 m/s

P₂ = Pressure outside the water reservoir = atmospheric pressure = 1 atm = 1 × 101325 = 101,325 Pa

v₂ = velocity outside the reservoir = ?

810,600 + 0 = 101,325 + 0.5×1000×v₂²

500v₂² = 810,600 - 101,325 = 709,275

v₂² = (709,275/500) = 1,418.55

v₂ = √(1418.55) = 37.66 m/s

b) Volumetric flowrate is given as

Q = Av

A = Cross sectional Area of the channel of flow = πr² = π×(0.001)² = 0.0000031416 m²

v = velocity = 37.66 m/s

Q = 0.0000031416 × 37.66 = 0.0001183123 m³/s = (1.183 × 10⁻⁴) m³/s

c) If the height of gun above the ground is 1.2 m. Where does the water hit the ground?

The range of trajectory motion is given as

R = vT

v = horizontal component of the velocity = 37.66 m/s

T = time of flight = ?

But time of flight is given as

T = √(2H/g) (Since the initial vertical component of the velocity = 0 m/s

H = 1.2 m

g = acceleration due to gravity = 9.8 m/s²

T = √(2×1.2/9.8) = 0.495 s

Range = vT = 37.66 × 0.495 = 18.64 m

Hope this Helps!!!

The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.

The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23.  however amount is represented by a number.

It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.

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Answer:

B

Step-by-step explanation:

A quadrilateral is a shape that has exactly 4 sides.

All of the other shapes have 4 sides but with restrictions

For example, a rhombus has to have equal sides whe a rectangle doesn't

That's why B is the answer.

I hope this helps!!!