What is an equation of the line that passes through the points (-5,-8) and (5,4)?

Given:

Find-: what does point (10,67873) represent.

Sol:

Where,

At point.

Point (10, 67873) represents after the 10-year value of the random tractor is 67873.

Check value for x = 10 year.

Answer:

w = 5

Step-by-step explanation:

2w - 15w - 18 = -83

combine w on left side:

-13w - 18 = -83

add 18 to both sides:

-13w - 18 + 18 = -83 + 18

-13w = -65

divide both sides by -13:

-13w/-13 = -65/-13

w = 5

When completing the square is carried out on the quadratic \(x^2+11x\) we get

\(x^2+11x+\dfrac{121}{4}\)

when expressed as a binomial squared, we get

\(\left(x+\dfrac{11}{2}\right)^2\)

To complete the square, we need to add a term to the expression

\(x^2+11x\)

that would make it a perfect square. Generally, given the quadratic expression

\(x^2+bx\)

to make it a perfect square, we have to add half the square of the coefficient of \(x\). That is, add \(\left(\frac{b}{2}\right)^2\), or \(\frac{b^2}{4}\) to the quadratic expression to get

\(x^2+bx+\dfrac{b^2}{4}\)

which, when factored into a binomial squared becomes

\(\left(x+\dfrac{b}{2}\right)^2\)

In our case, the quadratic \(x^2+11x\) will become

\(x^2+11x+\dfrac{121}{4}\)

and when expressed as a binomial squared, we get

\(\left(x+\dfrac{11}{2}\right)^2\)

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Answer:

\(x^{2}\) +11x+ \(\frac{121}{4}\)= \((x+\frac{11}{2} )^{2}\)

Step-by-step explanation:

.

We know that the amount of interest paid monthly by a bank’s Visa cardholders is normally distributed with a mean of $27 and a standard deviation of $8.The formula to calculate the proportion of interest payments is, (z-score) = (x - µ) / σWhere, x is the value of interest payment, µ is the mean interest payment, σ is the standard deviation of interest payments.

b) Interest payment more than $36,Interest payment = $36 Mean interest payment = µ = $27 Standard deviation of interest payment = σ = $8 The z-score of $36 is,z = (x - µ) / σ = (36 - 27) / 8 = 1.125 From the standard normal distribution table, the proportion of interest payments more than z = 1.125 is 0.1301.Therefore, the proportion of the bank’s Visa cardholders who pay more than $36 in interest is,Proportion = 0.1301

c) Interest payment less than $16,Interest payment = $16 Mean interest payment = µ = $27 Standard deviation of interest payment = σ = $8 The z-score of $16 is,z = (x - µ) / σ = (16 - 27) / 8 = -1.375 From the standard normal distribution table, the proportion of interest payments less than z = -1.375 is 0.0844.Therefore, the proportion of the bank’s Visa cardholders who pay less than $16 in interest is,Proportion = 0.0844

d) Interest payment exceeded by only 21% of the bank’s Visa cardholders,Let x be the interest payment exceeded by only 21% of the bank’s Visa cardholders. Then the z-score of interest payments is,21% of cardholders pay more interest than x, which means 79% of cardholders pay less interest than x.Therefore, the z-score of interest payment is, z = inv Norm(0.79) = 0.84 Where, inv Norm is the inverse of the standard normal cumulative distribution function.From the z-score formula, we have,z = (x - µ) / σ0.84 = (x - 27) / 8x = 27 + 0.84 * 8x = $33.72 Therefore, the interest payment exceeded by only 21% of the bank’s Visa cardholders is $33.72.

The proportion of the bank's Visa cardholders who pay more than $31 is 0.3085. The proportion of the bank's Visa cardholders who pay more than $36 is 0.1301. The proportion of the bank's Visa cardholders who pay less than $16 is 0.0844. And, the interest payment exceeded by only 21% of the bank's Visa cardholders is $33.72.

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Answer:

When adding integers with the same sign, the sum is equal to the sum of the absolute values of each addend and has the sign common to the addends. Both addends are positive, so the sum is positive. Both addends are negative, so the sum is negative

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

x = -7

To find = 3x + 10

= 3(-7) + 10

= -21 + 10

= -11

Answered by GauthMath if you like please click thanks and comment thanks.

The approaches of the limits are given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

Hence, if the function increases indiscriminately, with the graph pointing up, we have that the limits approaches positive infinity, while if the function decreases indiscriminately, with the graph pointing down, we have that the limits approaches negative infinity.

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Answer:

9x2+5x

Step-by-step explanation:

combine like terms

Answer:

were is the line

Step-by-step explanation:

Answer:

1- y=2x-5

2- y=-1/6x-5

Hope this helps you!!

Answer:

0.0030796 to the ten thousandths place is 0.0031

Answer:

0.0031

Step-by-step explanation:

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Many conservatives believed that the court's ruling in Griswold v Connecticut  Went too far in creating a new right. (option c)

Some conservatives believed that the court's ruling in Griswold v. Connecticut went too far in restricting the state's ability to regulate private matters. They argued that the Constitution does not explicitly mention a right to privacy and that the court should have deferred to the legislative branch to make decisions regarding individual liberties.

A subset of conservatives believed that the court's ruling should have limited an established right rather than expanding it. They argued that if there was any right at stake, it was the right of the state to regulate morality and public health.

From their perspective, the court should have given deference to the state's interest in protecting public welfare by upholding the Connecticut law. These conservatives believed that the court's decision undermined the state's authority and intruded upon the balance of power between the federal and state governments.

Hence the correct option is (c).

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Answer:

the first

Step-by-step explanation:

it just is. Be smarter.

Answer:

2 movies and 8 songs

Step-by-step explanation:

use the formula 1x + 6x = $20 and x + x = 10. so x has to equal to 10, so 1 times 8 is 8 and 6 times 2 is 12. The x’s (8 and 2) equal 10 which is what you were looking for. i don’t know if that made sense but i hope it did

Answer:

2.3333333333333333333333333333333 sec

Answer:

Since the first equation x is equal to 4y - 9, it is easier to substitute 4y - 9 in for x in the second equation.

x = -1    y = 2

Step-by-step explanation:

Since the first equation x is equal to 4y - 9, it is easier to substitute 4y - 9 in for x in the second equation.  That would give you

4y - 9 + 4y = 7

8y - 9 = 7

8y = 16

y = 2

x = 4y - 9 = 4(2) - 9 = 8 - 9 = -1

It is always a good idea  to check and see if your results satisfy the two equations

The solution for the system of linear equations is (-1, 2).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

x = 4y - 9 _____(1)

x + 4y = 7 ______(2)

Substituting (1) in (2) we get,

4y - 9 + 4y = 7

8y = 7 + 9

8y = 16

y = 2

Now,

x = 4 x 2 - 9

x = 8 - 9

x = -1

Thus,

The solution is (-1, 2).

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Answer:

< 40, 28, 72 >

Step-by-step explanation:

Given

y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then

6y + 4z

= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >

Multiply each component by the scalar quantity

= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >

= < 12, 36, 48 > + < 28, - 8, 24 >

Add corresponding components

= < 12 + 28, 36 - 8, 48 + 24 >

= < 40, 28, 72 >

The potential energy of a 50kg boulder at the ledge of a cliff 250m high is 122500 J.

Potential energy is the energy carried by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.

The PE energy of a boulder 250 m from the ground is given by the formula

PE = h x m x g    where h is the height above the ground, m is the mass, and g is the acceleration of gravity.

Putting the given values in the equation

PE = 250m x 50 kg x 9.8 m/s²  =  122500 J

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a7ah7unaunauaunaa7au a7una8na8un

Answer:

y = 4x - 11

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 7 ← is in slope- intercept form

with slope m = 4

• Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation of the parallel line

to find c substitute (3, 1 ) into the partial equation

1 = 12 + c ⇒ c = 1 - 12 = - 11

y = 4x - 11 ← equation of parallel line

It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.

The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.

A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

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Answer:

y=x+8

Step-by-step explanation:

y= x+8

8 is your y intercept

and your slope is 1 but it's x

The speeds of both Grayson and Maya can be found using the equation:

distance/time

So 45/3

and

26/2

Grayson was going 15mph while Maya was going 13mph

So Grayson was going 2mph faster than Maya

Answer:

√(36×36×4)=√(36²×2²)=±(36×2)=±72

\(\sqrt{36 \times 36 \times 4} = 72\)

Answer:

Apothem:

radius is the same length as the base/length of each side of the hexagon.

r = 8

use pythagorean theorem to calculate the apothem

\(4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928\)

≈ 6.9

Area

\(A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7\)

Answer:

yes

Step-by-step explanation:

1/9 is smaller than 1/8.

Answer: yes

Step-by-step explanation: just criss cross the numbers so 1*9=9 and 8*1=8 so yes or u can also divide them and compare the decimals.

The value of the function at x = 4 is 8.79.

Tangent line approximation is the approximation of any function using a linear function. It is also called as linear approximation.

It allows us to approximate the value of a general function with a more simpler linear function.

Given that,

f(1) = 2

f'(x) = \(\sqrt{x^{2} +2cos x + 3}\)

We have the formula for linear approximation as,

f(x) = f(a) + f'(a) (x - a)

Here x = 4 and a = 1

f(a) = f(1) = 2

f'(a) = f'(1) = \(\sqrt{1^{2} +2cos 1 + 3}\) = 2.254

Substituting,

f(4) = 2 + (2.254) (4 - 1)

     = 8.762 ≈ 8.79

Hence the value of f(4) is 8.79.

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The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.

The given function is \(e^(-2x)\). We can write this in Taylor Polynomial of degree 6 as

\(f(x) = 1 - 2x + 2x^2 - (2^2/2!)x^3 + (2^3/3!)x^4 - (2^4/4!)x^5 + (2^5/5!)x^6 + ε\)

The coefficients of this Taylor Polynomial are 1, -2, 2, -4/2, 8/6, -16/24, 32/120 respectively.

The error in this case is given by ε which is the remainder in the Taylor Polynomial. This is calculated as the value of the n+1th derivative of the function at the point of expansion. We expand the Taylor Polynomial at a=0, so the error ε is given by

\(ε = (2^6/6!)f^(6)(c)\)

for some c between 0 and x. The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.

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