The graph of h(x) = x2 − 3 is a translation of the graph of f(x) by units.

Answer:

6x²+11x

Step-by-step explanation:

1. Group like terms

\(8x^2-2x^2+3x+8x-10+10\)

2. Add like terms

\(6x^2+3x+8x-10+10\)

3. Add the numbers

\(6x^2+11x\)

Answer:

the answer is -3

Step-by-step explanation:

so x is equal to -3

Answer:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. ... Note that we have variables on both sides of the equation.

Step-by-step explanation:

Answer:

Do you have a picture or the graph or equation? Also if this helps, I included a picture with an example of solutions on graphs. If you have any further questions feel free to ask me! (:

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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Answer:

7

−

2

(

−

1

0

)

=

4

0

7x{\color{#c92786}{-2(x-10)}}=40

7x−2(x−10)=40

7

−

2

+

2

0

=

4

0

Step-by-step explanation: therefore your answer would be x=4  

BRAINLIEST PLEASE

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7x−2(x−10)=40

7x+(−2)(x)+(−2)(−10)=40(Distribute)

7x+−2x+20=40

(7x+−2x)+(20)=40(Combine Like Terms)

5x+20=40

5x+20=40

Step 2: Subtract 20 from both sides.

5x+20−20=40−20

5x=20

Step 3: Divide both sides by 5.

5 divided by 20 = 4

5 divided by 5 =1

x=4

Answer:

yes

Step-by-step explanation:

14:16

(14:16) * 2 = 28:32

14/16 = 28/32

There are many possible answers for this.

One example is below.

S = the number of stations included when a person canceled orders basic cable, write an expression for the number of stations a person has if he at first ordered 7 basic cable.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

algebraic expression 7-s

We can represent this as = 7 - s

now,

The value that we don't know is the number of

stations included when a person canceled orders basic cable.

So we can represent that as s.

Then, since the person at first ordered 7 premium channels, that means he is adding an  7 basic channels with out s basic channels.

So we can represent this as 7-s.

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Answer:

43 is a prime number so no number except for 43 it's self

Answer:

30.31 inches.

Step-by-step explanation:

The logarithmic function y = log(4x-a) is positive for all values of x which are greater than a/4.

A function of this type is a logarithmic function. which can be interpreted as "y equals the log, base b, of x" or "y equals the log of x, base b."

Finding the domain of x that makes the argument (4x-a) of the logarithm positive will help us identify the values of x for which the logarithm in the equation y = log(4x-a) is positive.

Remember that a positive number's logarithm is positive and a negative number's logarithm is indeterminate. (in the real number system).

We must therefore identify the x values that meet the inequality:

4x - a > 0

4x > a

x >a/4

After finding x, we obtain:

x > a/4

The equation y = log(4x-a) therefore has the following domain of x for which the logarithm is positive:

In other words, for all values of x larger than a/4, the expression y = log(4x-a) is defined and positive.

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Answer:

30036169

Step-by-step explanation:

Use BIDMAS:

9+(10x77)x92)x424)

10x77=770x92=70840x424=30036160+9=30036169

Therefore, there are 24,387,120 different line-ups permutation that can be made with 17 players for 9 positions.

The number of different line-ups that can be made with 17 players for 9 positions can be calculated using the permutation formula:

P(17, 9) = 17! / (17 - 9)!

where "!" represents the factorial function.

P(17, 9) = 17! / 8!

= (17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9) / (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8)

= 24,387,120

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Answer: Change is 1 and the y-intercept is 1/2

Let me know if I’m wrong

Step-by-step explanation:

The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

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The directional derivative of the function at the given point in the direction of the vector v are as follows :

\(\[D_{\mathbf{u}} f(\mathbf{a}) = \nabla f(\mathbf{a}) \cdot \mathbf{u}\]\)

Where:

- \(\(D_{\mathbf{u}} f(\mathbf{a})\) represents the directional derivative of the function \(f\) at the point \(\mathbf{a}\) in the direction of the vector \(\mathbf{u}\).\)

- \(\(\nabla f(\mathbf{a})\) represents the gradient of \(f\) at the point \(\mathbf{a}\).\)

- \(\(\cdot\) represents the dot product between the gradient and the vector \(\mathbf{u}\).\)

Now, let's substitute the values into the formula:

Given function: \(\(f(x, y) = 7e^x \sin y\)\)

Point: \(\((0, \frac{\pi}{3})\)\)

Vector: \(\(\mathbf{v} = \begin{bmatrix} -5 \\ 12 \end{bmatrix}\)\)

Gradient of \(\(f\)\) at the point  \(\((0, \frac{\pi}{3})\):\)

\(\(\nabla f(0, \frac{\pi}{3}) = \begin{bmatrix} \frac{\partial f}{\partial x} (0, \frac{\pi}{3}) \\ \frac{\partial f}{\partial y} (0, \frac{\pi}{3}) \end{bmatrix}\)\)

To find the partial derivatives, we differentiate \(\(f\)\) with respect to \(\(x\)\) and \(\(y\)\) separately:

\(\(\frac{\partial f}{\partial x} = 7e^x \sin y\)\)

\(\(\frac{\partial f}{\partial y} = 7e^x \cos y\)\)

Substituting the values \(\((0, \frac{\pi}{3})\)\) into the partial derivatives:

\(\(\frac{\partial f}{\partial x} (0, \frac{\pi}{3}) = 7e^0 \sin \frac{\pi}{3} = \frac{7\sqrt{3}}{2}\)\)

\(\(\frac{\partial f}{\partial y} (0, \frac{\pi}{3}) = 7e^0 \cos \frac{\pi}{3} = \frac{7}{2}\)\)

Now, calculating the dot product between the gradient and the vector \(\(\mathbf{v}\)):

\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = \begin{bmatrix} \frac{7\sqrt{3}}{2} \\ \frac{7}{2} \end{bmatrix} \cdot \begin{bmatrix} -5 \\ 12 \end{bmatrix}\)\)

Using the dot product formula:

\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = \left(\frac{7\sqrt{3}}{2} \cdot -5\right) + \left(\frac{7}{2} \cdot 12\right)\)\)

Simplifying:

\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = -\frac{35\sqrt{3}}{2} + \frac{84}{2} = -\frac{35\sqrt{3}}{2} + 42\)\)

So, the directional derivative \(\(D_{\mathbf{u}} f(0 \frac{\pi}{3})\) in the direction of the vector \(\mathbf{v} = \begin{bmatrix} -5 \\ 12 \end{bmatrix}\) is \(-\frac{35\sqrt{3}}{2} + 42\).\)

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Answer:

The Student has 72% out of 100%

Step-by-step explanation:

Its the same thing but with fractions

Answer:

Given :-

To Find :-

Solution :-

Putting the known values ,

Volume = 1/3×3.14×5²×14 m³

Volume = 366.33 m³

Answer:

\( \: \)

Step-by-step explanation:

In the question, it is given that a cone has a radius of 5 meters and a height of 14 meters and we have to find the volume of the cone.

\( \: \)

To find the volume of the cone, we must know this formula :

\( \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times \pi \times {(r)}^{2} \times h }}}}}}} \\ \\\)

Where,

Now, we will substitute the values in the formula :

\( {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 25 \times 14 }}}}}}} \\ \\\)

\({\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 350 }}}}}}} \\ \\\)

\({\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1099 }}}}}}} \\ \\\)

\({\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1099}{3}}}}}}}} \\ \\\)

\({\longrightarrow{ \qquad{{ {\pmb{\frak { Volume_{(cone) }= 366.33}}}}}}} \\ \\\)

Therefore,

Answer:

28.3 units^2

Explanation:

The area A of the circle is given by the formula

where

π = 3.1415..

d = diameter of the circle.

Now, in our case d = 6; therefore,

Rounded to the nearest tenth this is

The value of the variable is 9

It is important to note that  inequalities are described as non- equal comparison of numbers or expressions.

The signs of inequalities represents;

From the information given, we have that;

7x - 1  is less than or equal to 62

This is represented as;

7x - 1≤ 62

collect the like terms, we have;

7x ≤ 62 + 1

Add the values

7x ≤ 63

Divide both sides by the coefficient, we get;

x ≤ 63/7

x ≤ 9

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Answer:

alternate exterior

By using the Lagrange multipliers, the two points on the cone that is closest to (14, 8, 0) are:

(7, 4, √65) and (7, 4, -√65)

We want to minimize the distance between the point (14, 8, 0) and the points on the cone z^2 = x^2 + y^2. The distance squared between two points (x_1, y_1, z_1) and (x_2, y_2, z_2) is given by:

d^2 = (x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

In our case, we want to minimize the distance squared between (14, 8, 0) and a point (x, y, z) on the cone z^2 = x^2 + y^2:

d^2 = (x - 14)^2 + (y - 8)^2 + z^2

Subject to the constraint z^2 = x^2 + y^2. We can use Lagrange multipliers to solve this constrained optimization problem. Let L be the Lagrangian:

L = (x - 14)^2 + (y - 8)^2 + z^2 - λ(z^2 - x^2 - y^2)

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them to zero, we get:

2(x - 14) - 2λx = 0.....(1)

2(y - 8) - 2λy = 0.....(2)

2z - 2λz = 0.....(3)

z^2 - x^2 - y^2 = 0.....(4)

Simplifying the third equation, we get z(1 - λ) = 0. Since we want to find points where z is not zero, we must have λ = 1. Then, from the first two equations, we get x = 7 and y = 4. Substituting these values into the fourth equation, we get:

z^2 = x^2 + y^2 = 65

So the two points on the cone that is closest to (14, 8, 0) by using  Lagrange multipliers are:

(7, 4, √65) and (7, 4, -√65)

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Answer:

312

Step-by-step explanation:

120x0.4=48

48x3=144

120x0.7=84

84x2=168

168+144=312

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

6x-3=11

6x=11+3

6x=14

x=2.33

2)

15=x/3+2

-2+15=x/3

13=x/3

x=31

3)

-4(x-1)=7(x+4)

-4x+4=7x+28

-4x-7x=-4+28

3x=24

x=8

4)

3(2x+11)=6x

6x+33=6x

33=-6x+6x

no solution

Answer: Tim x(x+7)(3x-15)=04x(x+7)=2(x+7)(x-3)2 - x(x - 4) = 5

Step-by-step explanation:

a. Shade the complement of the intersection of A and B.

b. Shade the complement of the union of A and B.

c. Shade the union of the intersection of A and C with B.

a) To shade the area representing the event (A∩B)', we start by shading the intersection of A and B. Then, we take the complement of this shaded area, which includes all the regions outside of A∩B.

b) To shade the area representing the event (A∪B)', we first shade the union of A and B. Then, we take the complement of this shaded area, which includes all the regions outside of A∪B.

c) To shade the area representing the event (A∩C)∪B, we start by shading the intersection of A and C. Then, we shade the region representing the union of this intersection with B.

Please note that as a text-based platform, I cannot directly show you a visual representation of the Venn diagrams. It would be helpful to refer to a Venn diagram or use an online tool to visualize the shaded areas accurately.

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Answer:

A real number is a number that can take any value on the number line. They can be any of the rational and irrational numbers. Rational number is a number that can be expressed in the form of a fraction but with a non-zero denominator.

Answer:

S i neorrddints poy

Step-by-step explanation:asdadasdasdasdo