Describe the solution of g(x) shown in the graph. parabola opening down passing through 0 comma 2, negative 1.5 comma 4.25, and negative 3.5 comma 0 All real solutions All negative solutions All whole number solutions All solutions that lie on g(x)

Answer:

-11

Step-by-step explanation:

If you know how to play golf, you'll know that when you see a negative sign infront of a number, thats good.

So starting off with -6 and -5. That makes -11

Take -11 and +1, thats -10

Take -10 and -3 thats -13

Take -13 and +2 thats -11

To factor 1 out of 3 we divide 3 by 1

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

For example to factor out 4 out of 20. It shows that 4 is a factor of of 20 and to get the other factor we divide 20 by 4. This means that 20/4 = 5. This shows that 4 and 5 are factors of 20.

Similarly to factor out 1 over 3, we divide 3 by so as to get the other factor. This means that 3/1 = 3.

This shows that 3 and 1 are factors of 3

Therefore to factor a number(x) over another number(y) we divide the y by x

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We have to prove this identity.

We will use the right side and rearrange it into the left side.

We can do it as:

Answer:

Therefore he can use inequality C because profit cannot be in less than and should be with greater than.

Step-by-step explanation:

A

\(\sf \hookrightarrow 12t - 100 < 0\)

\(\sf \hookrightarrow 12t < 100\)

\(\sf \hookrightarrow t < \frac{100}{12}\)

\(\sf \hookrightarrow t < \frac{25}{3}\)

B

\(\sf \hookrightarrow 12t + 100 > 0\)

\(\sf \hookrightarrow 12t < -100\)

\(\sf \hookrightarrow t > -\frac{100}{12}\)

\(\sf \hookrightarrow t > -\frac{25}{3}\)

C

\(\sf \hookrightarrow 12t - 100 > 0\)

\(\sf \hookrightarrow 12t > 100\)

\(\sf \hookrightarrow t > \frac{100}{12}\)

\(\sf \hookrightarrow t > \frac{25}{3}\)

D

\(\sf \hookrightarrow 12t + 100 < 0\)

\(\sf \hookrightarrow 12t < -100\)

\(\sf \hookrightarrow t < \frac{ -100}{12}\)

\(\sf \hookrightarrow t < -\frac{25}{3}\)

Answer:

C)  12t - 100 > 0

Step-by-step explanation:

Let t = number of t-shirts sold

He will need to subtract the supply cost ($100) from the selling price of the t-shirts.  The final amount will need to be greater than zero for it to be profit.

12t - 100 > 0

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

Explanation:

Given ΔTOP is rotated -180° about the origin.

Identify the coordinates of the original triangle:

Rule for -180° rotation: (x, y) → (-x, -y)

So after rotation coordinates:

The points are

Rotate 180° about origin (x,y)—»(-x,y)

So

Graph attached

based on the principle of mathematical induction, we conclude that \(2^{n}\) > \(n^{2}\) for all n greater than 4.

By using mathematical induction, we can prove that \(2^{n}\) > \(n^{2}\) for all n greater than 4.

Base case (n = 5):

When n = 5, we have \(2^{5}\) = 32 and \(5^{2}\) = 25. Since 32 is indeed greater than 25, the inequality holds for n = 5.

Inductive step:

Assuming the inequality holds for some positive integer k: \(2^{k}\) > \(k^{2}\), we need to show that it also holds for k + 1: \(2^{(k+1) }\) > \((k+1)^{2}\)

Starting with the left-hand side:

\(2^{(k+1) }\) = 2 × \(2^{k}\)

Using the inductive assumption, we can rewrite it as:

\(2^{(k+1) }\) > 2 ×\(k^{2}\)

Now let's consider the right-hand side:

\((k+1)^{2}\) = \(k^{2}\) + 2k + 1

We want to show that 2 × \(k^{2}\) > \(k^{2}\) + 2k + 1.

Simplifying the inequality, we have:

\(k^{2}\) - 2k - 1 > 0

By analyzing the quadratic function f(k) = \(k^{2}\) - 2k - 1, we find that it is positive for all k greater than 4.

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Answer:

108º

Step-by-step explanation:

subtract outer angle from circle

360º - 252º = 108º

I hope this helps you

find DCG

360-252=108°

angle DBG=1/2(252-108)

angle DBG=72°

Answer: 12

Step-by-step explanation: 21-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1=12

Answer:?

Step-by-step explanation:

Answer: scanning, predicting, identifying, decision making, and executing

Step-by-step explanation:

Answer: multiply the diameter by 1/2 to get the radius

Step-by-step explanation: A diameter is a line across a circle at which its endpoints lie on the circle and travels through the center of the said circle, cutting the circle perfectly in half. The radius is the measurement from the sender of the circle to any given point on the circle and is always equidistant and congruent to other radii of the same circle. For this reason, the radius is always half the length of the diameter. Thus, to define the relationship between the two, multiplying the diameter by 1/2 would be the same as diving it by 2, giving you the radius of the circle.

Answer:

Multiply the diameter by 1/2 to get the radius

Step-by-step explanation:

The radius is half of the diameter, multiplying the diameter by 1/2 will give you the radius.

The values of x for which the equation \(x^3 + 17x^2 + 66x + 72 = 0\) is true need to be determined by using numerical methods or factoring techniques to find the roots of the equation.

To find the values of x for which the equation \(x^3 + 17x^2 + 66x + 72 = 0\)  is true, we need to solve the equation for x.

Unfortunately, there is no simple, direct way to find the exact solutions for cubic equations like this.

However, we can use numerical methods or factorization techniques to approximate the solutions.

One common approach is to use numerical methods like the Newton-Raphson method or the bisection method.

These methods involve iterative calculations to approximate the roots of the equation.

Alternatively, if we suspect that there may be rational roots, we can use the Rational Root Theorem to narrow down the possible solutions.

The Rational Root Theorem states that if a rational number p/q (in simplest form) is a root of the polynomial equation, then p must be a factor of the constant term (72 in this case), and q must be a factor of the leading coefficient (1 in this case).

By testing the factors of 72 (1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72) as potential rational roots, we can check if any of them satisfy the equation.

Using these methods, we can find the approximate or exact values of x for which the equation \(x^3 + 17x^2 + 66x + 72 = 0\) holds true.

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Answer:

im jus trying to get points lol

Step-by-step explanation:

Answer:  i don’t know  this anwser but pls give me points I’m sure another person will give u something

Step-by-step explanation:

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

The value of  Q(x) =   x² - 1  

R(x) = 4

What is Long Division?

Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.

By long Division method:

                        x² - 1            

                     _______________________________

         (3x - 4) | 3x³ - 4x² - 3x

                       3x³ - 4x²

                       _________________

                            0 - 0   - 3x      

                                       - 3x + 4  

                                ___________________

                                          0  + 4

Q(x) =   x² - 1  

R(x) = 4

Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1  ) + 4

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The midpoint of the line segment described by the two endpoints; (-3, 8) and (-8, 2) according to the task content is; (-11/2, 5).

It follows from the task content that the midpoint of the line segment joining the two points (-3, 8) and (-8, 2) is to be determined.

Since the midpoint of a line is given by coordinates;

x = (x1 + x2)/2 and y = (y1 + y2)/2.

It follows that we have;

x = (-3+(-8))/2

x = -11/2

while; y = (8+2)/2

y = 10/2

y = 5.

Ultimately, the midpoint of the line segment described by the two endpoints; (-3, 8) and (-8, 2) according to the task content is; (-11/2, 5).

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The combined area of dark pieces is 253.5 in².

First, Area of 5 light pieces

= length x width

= 3 3/4 x 39

= 15/4 x 39

= 146.25 in²

Now, Area of board

= L x W

= 29 x 39

= 1131 in²

Thus, the combined area of dark pieces

= 1131 - 146.25 x 6

= 253.5 in²

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The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

The height (h) is represented by:

h(t) = -4.9t² + 40t + 20

The maximum height is at h'(t) = 0, hence:

h'(t) = -9,8t + 40

-9.8t + 40 = 0

t =  4.082

The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.

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Answer:

x/x∈R,x≤5 1/6

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

A fraction is a part of a whole number, so yes a fraction is always less than a whole number, unless it's a mixed number. A mixed number is when there is a whole number before the fraction.

Plaz mark brainliest. I just need 2 more to raise my level.

Answer:

Yes unless the fraction is equal to a whole number or is an improper fraction

Step-by-step explanation:

A normal fraction like 2/4 is less than a whole number because a whole number is whole and a fraction is part of

Exceptions:

4/4 is a fraction but is also a whole number

any improper fraction ( a fraction not simplified)

5/4 it equals more than a whole number 1 1/4

So simplify the fraction and if it is equal to or more than a whole number you know, but if it is less than a whole number then you know it is less.

Hopefully this helped :)

The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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The radius of the cylindrical shaped soup can is r = 3.3 cm

Given data ,

A company is designing a soup can that is in the shape of a right circular cylinder. The height of the can will be 3 times the radius of the can. The volume of the can will be 350 cubic centimeters

Now , Volume of Cylinder = πr²h

where h = 3r

On simplifying , we get

350 = πr²3r

350 = 3πr³

Divide by 3π on both sides , we get

r³ = 37.13615

Taking cube root on both sides , we get

r = 3.3 cm

Hence , the radius of soup can is r = 3.3 cm

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On a postsynaptic membrane, the opening of K+ ion channel induces an IPSP (Inhibitory Postsynaptic Potential).

The potential changes in a neuron after the receptor and ion channel activation is called synaptic potential. This potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP).EPSP is a depolarizing potential that results from the opening of the Na+ ion channel. It causes a change in the potential of the neuron towards threshold level that may trigger an action potential.Ion channels and pumps in a postsynaptic neuron regulate the internal potential of the cell. In a typical postsynaptic cell, the resting potential (Vrest) is -70 mV, the threshold value is -55 mV, the reversal potential for Cl- ion (Ec) is -63 mV, the reversal potential for K+ ion (Ex) is -90 mV, and the reversal potential for Na+ ion (ENa) is 60 mV.The opening of Cl- ion channel leads to an inward flow of negative ions and thus results in hyperpolarization. The opening of K+ ion channel leads to an outward flow of K+ ions, and the membrane potential becomes more negative. Thus, it also results in hyperpolarization. The opening of a Na+ ion channel leads to inward flow of Na+ ions, which makes the cell more positive, and it is depolarization. Therefore, the opening of K+ ion channel leads to an IPSP, and it hyperpolarizes the neuron.

The postsynaptic potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP). The opening of the K+ ion channel leads to an outward flow of K+ ions, which makes the cell more negative and hyperpolarizes it, leading to IPSP.

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Answer: the

Step-by-step explanation:

The equation of the given line is y = 2x

The standard equation of a line is y = mx + b

From the graph, we can use the coordinate point (1, 2) and (2, 4)

Get the slope

m = 4-2/2-1

m = 2/1

m = 2

Since the line pass through the origin, hence b = 0

Get the required equation:

y = 2x + 0

y = 2x

Hence the equation of the given line is y = 2x

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Answer:

the value of increase each time is 1,571.43

Step-by-step explanation:

Given;

original value of the number, A = 1000

final value of the number, N = 12,000

Assuming the number increased equally each time, let the value of increase each time = x

The following linear equation will be obtained to solve for x;

7x + 1000 = 12,000

7x = 12,000 - 1,000

7x = 11,000

x = 11,000/7

x = 1,571.43

Therefore, the value of increase each time is 1,571.43

The given expression, z = √(a + y^2a + y^2 – bcy/(2^2cycos Z)), does not provide enough information to determine the exact values of the variables.

There are several variables present in the expression, such as a, y, b, c, and Z, but their specific values are not provided or defined. Without additional context or information, it is not possible to assign numerical values to these variables.

The expression includes operations such as addition, subtraction, multiplication, and cosine, but without knowing the values of the variables, we cannot perform these calculations. Each variable represents an unknown quantity, and its value would need to be given or determined through additional equations or information to accurately evaluate the expression. Therefore, without more information, the exact values of the variables in the radical expression cannot be determined.

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The equivalent expression is (a)  1 + √5

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

√5 + 1

The additive property of equality states that

a + b = b + a

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

√5 + 1 = 1 + √5

This means that the equivalent of √5 + 1 is 1 + √5

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Complete question

Which of the following is equivalent to √5 + 1

O A 1 + √5

OB. 1-√√5

O C. √5-1

OD √5-2

Answer: $6

Step-by-step explanation:

Cost of item = $4.38

Mark up percent = 35%

Sakes price will be the addition of the cost price and the mark up price. This will be;

= $4.38 + (35% × $4.38)

= $4.38 + (0.35 × $4.38)

= $4.38 + $1.533

= $5.913

= $6 approximately