What is a membrane? because I don't know.

The function q(x) describes a parabolic shape that opens upwards and has its vertex at (4, -3).

The function q(x) is a quadratic function that has been translated down 3 units and right 4 units from the parent function f(x) = x^2. Specifically, q(x) is in vertex form, which makes it easy to identify the vertex of the parabola: (4, -3). The "1/2" coefficient in front of the squared term tells us that the parabola is "flatter" than the parent function, and it opens upwards because the coefficient is positive.

To graph q(x), we can start by plotting the vertex at (4, -3). Then we can find two additional points on either side of the vertex by plugging in x-values that are equidistant from the vertex. For example, if we plug in x=2, we get q(2) = 1/2 (2 - 4)^2 - 3 = -4. Similarly, if we plug in x=6, we get q(6) = 1/2 (6 - 4)^2 - 3 = -4. This tells us that the points (2, -4) and (6, -4) lie on the graph of q(x).

We can also determine the axis of symmetry of the parabola, which is the vertical line that passes through the vertex. In this case, the axis of symmetry is x = 4. This means that the parabola is symmetric about this line.

Overall, the function q(x) describes a parabolic shape that opens upwards and has its vertex at (4, -3). It is a useful tool for modeling various phenomena that exhibit this type of behavior, such as the trajectory of a ball thrown into the air or the shape of a satellite dish.

Learn more about parabola in: https://brainly.com/question/31142122

#SPJ1

Answer:

A

Step-by-step explanation:

because negative minus negative is positive so its negative 6 plus 3

The value of 1% of 200% is 1/50 or 0.02

A percentage is a way to express a number as a fraction of 100. It is often denoted using the symbol %. It can also be used to express a change in a value, such as a increase or decrease in percentage.

1% of 200% can be written as:

1% of 200% = (1/100) × (200/100)

1% of 200% = ( 1 × 200)/ (100 × 100)

1% of 200% = 200/10000

1% of 200% = 1/50 = 0.02

Learn more about percentage on:

brainly.com/question/843074

#SPJ1

The quadrilateral ABCD is a parallelogram because angle A and angle C are congruent.

The theorem that states if all sets of opposite angles are congruent, then the quadrilateral is a parallelogram must be applied in order to demonstrate that quadrilateral ABCD is a parallelogram based on the provided facts.

Let's write the quadrilateral ABCD's angles as follows:

Angle C (provided) = Angle A

(Opposite angles) Angle B = Angle D

We must demonstrate that both pairs of opposite sides are parallel in order to demonstrate that ABCD is a parallelogram.

We can infer from the facts provided that Angle A is congruent with Angle C.

We will now use the theorem that says the quadrilateral is a parallelogram if both pairs of opposite angle pairs are congruent.

Angles A and B are congruent with Angles C and D, respectively, hence we can infer that the quadrilateral ABCD is a parallelogram.

Since the opposite sides of a parallelogram are parallel, we have: AB || CD (opposite sides).

(Opposite sides) AD vs. BC

Therefore, we may deduce that quadrilateral ABCD is a parallelogram based on the available data and the theorem.

In conclusion, since Angle A and Angle C are congruent, we can use the theorem saying that if both pairs of opposite angles are congruent, then the quadrilateral is a parallelogram to show that ABCD is a parallelogram.

For similar question on congruent.

https://brainly.com/question/3999145  

#SPJ8

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

\(y=2x+3\)

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

\(y-1=2\left(x-\left(-1\right)\right)\)

\(y-1=2\left(x+1\right)\)

Add 1 to both sides

\(y-1+1=2\left(x+1\right)+1\)

Simplify

\(y=2x+3\)

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

\(y=2x+3\)

Hence, option D is true.

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

For more such questions on volume

https://brainly.com/question/463363

#SPJ8

Answer:

(-3, -4) corresponds to (0, 0) in f(x)

Step-by-step explanation:

Answer:

d on edge :)

Step-by-step explanation:

The Distance between the given parallel planes is 8.84.

According to the statement

we have given that the two parallel planes and we have to find the distance between them.

So, For this purpose, we know that the

First let us find a point on one plane. For this in plane 9z +3x - 3y = 2

assume x = 0 and y = 0 then and hence (0,0,2/9) on this plane.

Now we find the distance between point (0,0,2/9) and plane 6z -2y + 2x =0

So,

As distance from a point to plane is

\(D= \frac{|ax_1+by_1+cz_1+d|}{\sqrt{ (a^2+b^2+c^2)}}\)

And

now substitute the values in then

\(D= \frac{|2*0+ (-2)0+6*2/9+0|}{\sqrt{ 36 +4+4)}}\)

Then the value becomes

\(D= \frac{4/3}{\sqrt{ (44)}}\)

\(D= \frac{4\sqrt{44} }{3}\)

Then solve it

\(D= \frac{26.52}{3}\)

then

D = 8.84

So, The Distance between the given parallel planes is 8.84.

Learn more about distance here

https://brainly.com/question/1872885

#SPJ4

Answer:

I believe the answer is 11 miles

Step-by-step explanation:

I drew the problem out and used the Pythagorean theorem and got 11.2

Hope this helps you!

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

Solutions: (-2. -6), (1, -2), (10, 3), (5, 3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve this equation, you will need to manipulate the equation in order to isolate the variable x on one side of the equation. Here is one way you could solve this equation:

Begin by distributing the 2 on the left side of the equation: 2(-2x+1) = -46 + 2x.

Next, distribute the -5 on the right side of the equation: 2(-2x+1) = -23 - 5x.

Combine like terms on the right side of the equation: 2(-2x+1) = -5x - 23.

Combine like terms on the left side of the equation: -4x + 2 = -5x - 23.

Add 4x to both sides of the equation to isolate the variable on one side: 2 = -x - 23.

Add 23 to both sides of the equation: 25 = -x.

Finally, divide both sides of the equation by -1 to solve for x: x = -25.

Therefore, the solution to the equation is x = -25.

Answer:

x=3

Step-by-step explanation:

2(−2x+1)−5x+2= -23

Distribute

-4x+2-5x+2=-23

Combine like terms

-9x+4=-23

Subtract both sides by 4

-9x=-27

Divide both sides by -9

x=3

Hope this helps :)

The coordinates (4, 15) tell us about the position of the runner on a coordinate plane, but they do not provide any information about the time the runner was at that position.

To determine information about the runner's time, additional data would be required.

A coordinate plane is a two-dimensional plane consisting of two perpendicular axes that are labeled with coordinates. These coordinates are written as (x, y), where x represents the horizontal position of a point and y represents the vertical position of the point.

The point (4, 15) represents a point that is located 4 units to the right of the origin (x-axis) and 15 units up from the origin (y-axis).

However, this coordinate alone cannot provide information about the time the runner was at that position. Additional data, such as the time the runner arrived at or departed from that position, would be needed to determine information about the runner's time.

Thus, the coordinates (4, 15) tell us about the position of the runner on a coordinate plane, but they do not provide any information about the time the runner was at that position. To determine information about the runner's time, additional data would be required.

Learn more about coordinates from the given link:

https://brainly.com/question/17206319

#SPJ11

Answer:

approx. 33 large buttons

Step-by-step explanation:

30% of 100= 33.3, round down because the number in the tenth place is less than 5.

Step-by-step explanation:

x+35+25=180

x+60 =180

x = 120.

y+x =18

To find the 4th order Newton's divided-difference interpolating polynomial for f(x)=ln(x) with x=1,4,5,6,8, we first need to calculate the divided differences:

A. (a) The 4th order Newton's divided-difference interpolating polynomial for the function f(x) = ln(x) using the given data points is:

P(x) = ln(1) + (x - 1)[(ln(4) - ln(1))/(4 - 1)] + (x - 1)(x - 4)[(ln(5) - ln(4))/(5 - 4)(5 - 1)] + (x - 1)(x - 4)(x - 5)[(ln(6) - ln(5))/(6 - 5)(6 - 1)] + (x - 1)(x - 4)(x - 5)(x - 6)[(ln(8) - ln(6))/(8 - 6)(8 - 1)]

B. (a) To find f(x) at x = 7 and x = 9 using the interpolating polynomial, substitute the respective values into the polynomial expression P(x) obtained in the previous part.

Explanation:

A. (a) The 4th order Newton's divided-difference interpolating polynomial can be constructed using the divided-difference formula and the given data points. In this case, we have five data points: (1, ln(1)), (4, ln(4)), (5, ln(5)), (6, ln(6)), and (8, ln(8)). We apply the formula to calculate the polynomial.

B. (a) To find the value of f(x) at x = 7 and x = 9, we substitute these values into the polynomial P(x) obtained in the previous part. For x = 7, substitute 7 into P(x) and evaluate the expression. Similarly, for x = 9, substitute 9 into P(x) and evaluate the expression.

Learn more about polynomial

brainly.com/question/11536910

#SPJ11

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Answer:-13=b, b=-13

Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13

Answer:

\(b=-13\)

Step-by-step explanation:

\(-19 = b - 6\)

Switch sides

\(b-6=-19\)

Add 6 to both sides

\(b-6+6=-19+6\)

Simplify

\(b=-13\)

Answer:

adding integers means adding integers with the same signs whili subtracting integers means adding the integers of apposite

Answer:

C

Step-by-step explanation:

it’s the only one that is a line

Answer:

c because the line is straight

Step-by-step explanation:

in order for a line on a graph to be linear it must have the same rise over run so the line would have to be strait

Answer:

9.2 inches

Step-by-step explanation:

7^2+6^2=C^2

49+36=C^2

85+C^2

√85=√C^2

9.2 in =C

^2 are exponents

Answer:

The slope is  

11 − 2  or  − 5.5 .

Step-by-step explanation:

To find the slope given two points, we use the formula  

rise

run

, or  

y

2

−

y

1

x

2

−

x

1

.

Plug in the given points into the formula:

5

−

(

−

6

)

4

−

6

=

11

−

2

Therefore, the slope is  

11

−

2

or  

−

5.5

.

Hope this helps!

Circle O is represented by the equation (x+7)² + (y + 7)² = 16. The length of the radius of Circle O is 4.

The equation of Circle O, (x+7)² + (y+7)² = 16, is in the standard form of a circle equation: (x - h)² + (y - k)² = r². Comparing it to the given equation, we can determine the values of h, k, and r.

In the given equation:

Center coordinates: (-7, -7) → h = -7, k = -7

Radius squared: 16 → r² = 16

To find the length of the radius, we need to take the square root of r²:

r = √(16)

Calculating the square root, we get:

r = 4

Therefore, the length of the radius of Circle O is 4.

Looking at the answer options, we see that the correct answer is Option B which is equal to 4.

The equation of a circle in the standard form (x - h)² + (y - k)² = r² represents a circle with center (h, k) and radius r. By comparing the given equation to the standard form, we can extract the values of h, k, and r. Taking the square root of r² gives us the length of the radius, which in this case is 4.

For more such questions on Circle, click on:

https://brainly.com/question/28162977

#SPJ8

Answer:

Frequency = 8 Hz ; Period = 0.125 s

Step-by-step explanation:

The amplitude of a wave is simply regarded as the maximum displacement experienced by a vibrating both from its equlibrum position.

The Displacement marked A in th picture is tbe Amplitude of the wave

The wavelength refers to the a complete cycle moved by a wave, that is the distance from a crest to another (maximum upward Displacement) or a trough to another (maximum downward Displacement).

2.)

Given that :

Velocity (V) of wave = 20 m/s

Wavelength (λ) = 2.5 m

The frequency (f) of the wave ;

f = v /λ

f = (20 m/s) ÷ 2.5m

f = 8 Hz

The period T of the wave :

T = 1 /f

T = 1 / 8

T = 0.125 seconds

Answer: x intercepts = -5/2 or x = -13/2    

the y intercepts y = 16.5

vertex  ( -9/2 , -4)

Step-by-step explanation:

Answer:

The roots and x-coordinates of the equation are

\(-\frac{5}{2}\) and \(-\frac{13}{2}\)

The vertex of the parabola is

\(-4.5\)

Step-by-step explanation:

Given

\(0=x^2+9x+16.25\\y=x^2+9x+16.25\)

Complete the Square, X intercepts, and Roots

\(0=x^2+9x+16.25\)

Write \(16.25\) as a fraction.

\(x^2+9x+16\frac{1}{4}=0\)

\(x^2+9x+\frac{65}{4}=0\)

Factor the left hand side.

Write \(x^2\) as a fraction with a common denominator, multiply by \(\frac{4}{4}\).

\(x^2*\frac{4}{4} +9x+\frac{65}{4}=0\)

Combine \(x^2\) and \(\frac{4}{4}\).

\(\frac{x^2*4}{4} +9x+\frac{65}{4}=0\)

Combine the numerators over the common denominator.

\(\frac{4x^2+65}{4} +9x=0\)

To write \(9x\) as a fraction with a common denominator, multiply by \(\frac{4}{4}\).

\(\frac{4x^2+65}{4} +9x*\frac{4}{4} =0\)

Combine \(9x\) and \(\frac{4}{4}\).

\(\frac{4x^2+65}{4} +\frac{36x}{4} =0\)

Combine the numerators over the common denominator.

\(\frac{36x+4x^2+65}{4} =0\)

For a polynomial of the form \(ax^2+bx+c\), rewrite the middle term as a sum of two terms whose product is \(a*c=4*65=260\) and whose sum is \(b=36\).

\(\frac{36(x)+4x^2+65}{4} =0\)

Rewrite 36 as 10 plus 26.

\(\frac{(10+26)x+4x^2+65}{4} =0\)

Apply the distributive property.

\(\frac{4x^2+10x+26x+65}{4} =0\)

Group the first two terms and the last two terms.

\(\frac{\left(4x^2+10x\right)+26x+65}{4} =0\)

Factor out the GCF from each group.

\(\frac{2x\left(2x+5\right)+13\left(2x+5\right)}{4} =0\)

Factor the polynomial by factoring out the GCF.

\(\frac{\left(2x+5\right)+\left(2x+13\right)}{4} =0\)

Set the numerator equal to zero.

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

\(2x=5=0\\2x=13=0\)

Solving for \(x\) in each equation gives us

\(-\frac{5}{2}\) and \(-\frac{13}{2}\)

The final solution is

\(x=-\frac{5}{2} ,-\frac{13}{2}\)

These values of \(x\) are the roots of the equation and lie on the x-axis.

Vertex

We can use the formula \(\frac{-b}{2a}\) to evaluate the vertex.

This formula is for a polynomial of the form \(ax^2+bx+c=0\).

\(x^2+9x+16.25=0\)

In this case

\(a=1\\b=9\)

Inserting our values into the equation yields

\(\frac{-9}{2*1}\)

\(\frac{-9}{2}=-4.5\)

Answer:

1/16

Step-by-step explanation:

f(x) = 2^x

Let x = -4

f(-4) = 2 ^ -4

We know that a^-b = 1/a^b

      = 1/2^4

     = 1/16

Answer:

B) 1/16

Step-by-step explanation:

It's a lot easier than it looks ...

Plug in -4 to the x in 2^x

so you must find 2 to the power of -4

2^-4= 1/16

Hope this helps!

- Quinn <3

Answer:

10 pounds of barley

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

7*5=35

therefore, 2*5=10