Given f(x)=-5x-4solve for when f(x)=1

Answer:

The correct answer is option c.

Option B represents the equivalent system of equations correctly.

Correct answer is option B.

To create an equivalent system of equations using the sum of the system and the first equation, we add the two equations together. The sum of the left sides of the equations should be equal to the sum of the right sides.

The given system of equations is:

−5x + 4y = 8 (Equation 1)

4x + y = 2 (Equation 2)

By adding the left sides and the right sides of the equations, we have:

(−5x + 4y) + (4x + y) = 8 + 2

Simplifying, we get:

−x + 5y = 10

Therefore, the equivalent system of equations using the sum of the system and the first equation is:

−5x + 4y = 8 (Equation 1)

−x + 5y = 10 (Equation 3)

The correct option from the given choices is:

B) −5x + 4y = 8

−x + 5y = 10

Correct answer is option B.

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Answer:

3a(c + 2b - 5)

Step-by-step explanation:

Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.

So we have 3a(c + 2b - 5) which is our final answer.

The maximum error of the given confidence interval is 0.815, meaning that the true mean is likely to be within 0.815 of the known mean of 9.375.

Maximum Error = (Upper Limit - Lower Limit) / 2

In this case, we have a confidence interval from 8.56 to 10.19 and the mean is known to be 9.375. To calculate the maximum error, we first need to subtract the lower limit (8.56) from the upper limit (10.19), which gives us a difference of 1.63. We then divide this number by 2, which gives us a maximum error of 0.815. This means that the maximum error of the given confidence interval is 0.815. This means that the true mean is likely to be within 0.815 of the known mean of 9.375.

The maximum error of the given confidence interval is 0.815, meaning that the true mean is likely to be within 0.815 of the known mean of 9.375.

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Step-by-step explanation:

Given

(2+3) (4-1)

= 5 * 3

= 15

Hope it will help :)

Answer:

15

Step-by-step explanation:

(2+3) (4-1)

(5) (3)

15

Answer:

Step-by-step explanation:

Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:

\(\frac{sin55}{3.5} =\frac{sinx}{4}\) and cross multiply to get

4sin55 = 3.5sinx and solve for sinx:

\(sinx=\frac{4sin55}{3.5}\) so

sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle

x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°

Answer:

It is 70

Step-by-step explanation:

Khan Academy

Answer:

let that man's age be x :

\(300 - 3x = 6\)

subtract 300 from both sides:

\((300 - 3x) - 300 = 6 - 300 \\ - 3x = - 294\)

apply the division rule of equality:

\( \frac{ - 3x}{ - 3} = \frac{ - 294}{ - 3} \\ \\ x = 98\)

The man is 98 years

Answer:

the man is 98 years old.... please give me brainliest

Step-by-step explanation:

\(300 - 3 \times x = 6 \\ 300 - 3x =6 \\ - 3x = 6 - 300 \\ - 3x = - 294 \\ divide \: both \: sides \: by \: - 3 \\ - 3x \div 3 = 294 \div 3 \\ x = 98\)

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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Answer:

x=4, y=-2

Step-by-step explanation:

\(2y=x-8\\2y-x=-8\\2(2x-10)-x=-8\\4x-20-x=-8\\3x-20=-8\\3x=-8+20\\x=12/3\\x=4\\\\\\y=2x-10\\y=2(4)-10\\y=8-10\\y=-2\)

Answer:

y = 85

Step-by-step explanation:

120% times y = 102

That's how you write the equation.

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The probability of 4 stores closing in Makati City due to loss is about 14.65%, based on the average rate of 2 stores closing per year.



To calculate the probability of 4 stores closing due to loss, we can use the Poisson distribution. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space, given the average rate of occurrence.

In this case, the average number of stores closing in a year due to loss is given as 2. The probability mass function of the Poisson distribution is defined as:

P(X = k) = (e^(-λ) * λ^k) / k!

Where:

- X is the random variable representing the number of stores closing

- λ is the average rate of occurrence (in this case, 2)

- k is the number of stores closing (in this case, 4)

- e is Euler's number, approximately 2.71828

Plugging in the values, we can calculate the probability as follows:

P(X = 4) = (e^(-2) * 2^4) / 4!

Using a calculator or a computer program, we can evaluate this expression:

P(X = 4) ≈ 0.1465

Therefore, the probability that there will be 4 stores closing due to loss is approximately 0.1465, or 14.65%.

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Answer:

There is no solution

Step-by-step explanation:

x - 4y = 15

3x -12y = 12

Times the first equation by -3

-3x +12y = -45

3x - 12y = 12

0 = -33

This is untrue; 0 is not equal to -33

So, there is no solution for this system.

If you can please give me a Brainliest, thank you, and have a good day!

Answer:

\(\huge\boxed{C.}\)

\(\huge\boxed{x-intercept=\dfrac{1}{2}(\pi)=\left(\dfrac{\pi}{2}, \pi\ \dfrac{3\pi}{2},\ 2\pi\right)}\)

Step-by-step explanation:

x-intercept of y = f(x) → y = 0.

\(y=\sin2x\\\\y=0\Rightarrow\sin2x=0\Rightarrow 2x=k\pi\qquad|\text{divide both sides by 2}\\\\x=\dfrac{k\pi}{2},\ k\in\mathbb{Z}\)

The isosceles triangle of the maximum area is also an equilateral triangle.

Given, an isosceles triangle ABC is inscribed in a circle with center D and radius r.

We can obtain the side a in function of r and α by applying Law of Sines to triangle BCD,

a/sin(2α) = r/sin β

Since, 2α + β + β = 180°

2α + 2β = 180°

α + β = 90°

β = 90° - α

a = r(sin 2α/sin(90°-α))

a = r(2 sinα cosα)/cosα

a = 2r sinα

a = 4r sin(α/2) cos(α/2)

We can obtain the height h in function of r and α,

tan(α/2) = (a/2)/h

h = a/2tan(α/2)

Replacing with the value of a,

h = [4r sin(α/2) cos(α/2)/2][cos(α/2)/sin(α/2)]

h = 2r cos2(α/2)

Now, find the area of the triangle in function of a and r,

Area, A = (base)(height)/2

A = [4r sin(α/2) cos(α/2)][2r cos2(α/2)]/2

A = 4r2sin(α/2) cos3(α/2)

Now, take the derivative to find the maximum or minimum of the area of the triangle.

dA/dα = [4r2cos(α/2)(1/2)cos3(α/2)] + [4r2sin(α/2) 3cos2(α/2)(-sin(α/2))(1/2)]

On simplification,

= [2r2cos4(α/2)] - 6r2sin2(α/2) cos2(α/2)

Taking out common terms,

= 2r2cos2(α/2)[cos2(α/2) - 3sin2(α/2)]

Equating the derivative to zero, we get

2r2cos2(α/2)[cos2(α/2) - 3sin2(α/2)] = 0

2r2cos2(α/2) = 0

cos2(α/2) = 0

Thus, α/2 = 90°

α = 180°

Also, cos2(α/2) - 3sin2(α/2) = 0

cos2(α/2) = 3sin2(α/2)

[sin2(α/2)/cos2(α/2)] = 1/3

tan2(α/2) = 1/3

tan(α/2) = 1/√3

So, α/2 = 30°

α = 60°

This implies that ∠B = ∠C = 60°

Thus, the isosceles triangle of the maximum area that can be inscribed in a circle of radius r. is also an equilateral triangle.

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Answer:

y = 2x + 7

Stepy by-step explanation:

y = 2x + b

1 = 2(-3) + b

1 = -6 + b

7 = b

Since the denominator is the same, we can simply subtract the numerator.

4x + 5 - 5x = -x + 5

The answer is B

Answer:

The correct answer is B :)

Step-by-step explanation:

The number of k-combinations(5) from a given set S of n (24) elements

Calculating the number of combinations

Substituting our values for n= 24 and k= 5 we get

24C5 = 24!5!(24−5)!

Subtracting 5 from 24 is 19

24!5!(19)!

Expending factorial

24X23X22X21X20X19!(5X4X3X2X1)X19!

Cancelling common factors

24X23X22X21X205X4X3X2X1

Multiply numerator values and denominator values

5100480120

Divide the 5100480 by 120

Final Result :42504.0

There are 42504.0 combinations to choose 5 items out of a set of 24

Answer: Yes

Step-by-step explanation: The sum of the length of the 2 smaller side must be greater than the biggest side (hypotneus) So yes, 9+2=11 which is greater than 10.

Answer:

m=40

Problem:

If 7x^2 - mx-12 is equal to (7x + n)(x-6), where m and n are constants, find the value of m.

Step-by-step explanation:

We want to find n amd m such that

(7x+n)(x-6)=7x^2-mx-12.

Since (ax+b)(cx+d)=acx^2+(ad+bc)x+bd, then we need or should have the following:

(7x)(x)=7x^2

(7×-6+n×1)x=-mx

(n)(-6)=-12

The bottom equation tells us n=2 since 2(-6)=-12.

The first equation is already true.

Now we must solve (7×-6+n×1)x=-mx with n=2 for m.

That is we need to solve 7×-6+2×1=-m

Simplify and done -m=-42+2=-40 so m=40.

Let's do a check

7x^2 - mx-12 is equal to (7x + n)(x-6)

7x^2-40x-12 is equal to (7x+2)(x-6)

(7x+2)(x-6)=7x(x)+7x(-6)+2(x)+2(-6)

(7x+2)(x-6)=7x^2-42x+2x-12

(7x+2)(x-6)=7x^2-40x-12 and that is what we wanted.

Another way:

We want (7x+n)(x-6)=7x^2-mx-12 to be true for all x.

So if x=0 or for x=1, we want the equation to be true.

Insert x=0. This gives (n)(-6)=-12 which implies n=2.

(7x+2)(x-6)=7x^2-mx-12

Insert x=1. This gives (7+2)(1-6)=7-m-12.

Simplify both sides: 9(-5)=-m-5

Continue to simplify left side: -45=-m-5

Add 5 on both sides: -40=-m

Multiply both sides by -1: 40=m

For this case we have the following variables:

x: represents time, in seconds at the start of the test.

y: represents the speed, in miles per hour.

We have then that:

x = 0 ---> y = 0

x = 12 ---> y = 0

Answer:

the electric car is not moving at 0 seconds and 12 seconds

I hope this helps!

the electric car is not moving at 0 seconds and 12 seconds

I hope this helps!

Answer: (2,9)

Step-by-step explanation:

It lies in the region that is shaded both red and blue (representing the fact that it satisfies both inequalities).

Answer:

$3534.9216

Step-by-step explanation:

1.6% of 3,592.40 = 57.4784

3,592.40 - 57.4784 = 3534.9216

Answer:

2

Step-by-step explanation:

-8 + 10 = 2

12 - 10 = 2

Therefore it is in the middle lol.

The ratio of surface area to volume is 6:s

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Given that, A cube has an edge length given by the variable “s”. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s² volume= s³

The ratio = 6s² / s³

= 6 / s

Hence, the required ratio is 6:s

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Answer:

The answer is -49.

Hope this helps and if you could mark this as brainliest. Thanks!

Since none of these options include the value of c" = 2/5, none of them satisfy the first-order necessary conditions for a solution. Therefore, none of the given options are correct.

To find the values of a, b, and c that satisfy the first-order necessary conditions for a solution to minimize the function f(x), we need to find the critical points of the function by taking its derivative and setting it equal to zero.

Given:

f(x) = 5x + Qx + c"x + 13

Q = -9, c = 10

Taking the derivative of f(x) with respect to x:

f'(x) = 5 + Q + c"

Setting f'(x) equal to zero:

5 + Q + c" = 0

5 - 9 + 10c" = 0

-4 + 10c" = 0

10c" = 4

c" = 4/10

c" = 2/5

So, we have found that c" = 2/5.

Now, let's consider the options for a, b, and c provided:

a. (5,6)

b. (10,-9)

c. (-9,10)

d. (6,5)

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Answer:

the answer is 18.long

Step-by-step explanation: