Solve the system with elimination.
-2x + 7y =10
x - 3y = -3

Answer:

to make sure you understand the question

Step-by-step explanation:

Answer:

Most likely to help you understand the answer so that if you run into a problem similar you don't have to look it up

Step-by-step explanation:

Using fraction strips, the result of 4 2/3 + 3 3/4 is 8 5/12

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, 4 2/3 + 3 3/4 using fraction strips.

Fraction strips are rectangular pieces (electronic or copied on paper strips) to represent different parts of the same whole. They can be cut apart and manipulated to see how various parts can be added together to make the whole or compare different fractional amounts for equivalency.

First, we will add fraction parts

=> 2/3 + 3/4

We can write2/3 as 8/12 since they have the same values

=> 8/12 + 9/12

Since now the denominators are the same, therefore we can add the numerators directly. Hence, the sum of 8/12 and 9/12

=> 17/12

=>12/12 + 5/12

=> 1 + 5/12

Thus the sum = 4 + 3 +1 + 5/12

Sum = 8 +5/12

therefore, the sum of  4 2/3 + 3 3/4using fraction strips is 8 5/12.

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If (-1, -1) is an extremum of \(f\), then both partial derivatives vanish at this point.

Compute the gradients and evaluate them at the given point.

\(\nabla f = \left\langle y - \dfrac1{x^2}, x - \dfrac1{y^2}\right\rangle \implies \nabla f (-1,-1) = \langle-2,-2\rangle \neq \langle0,0,\rangle\)

\(\nabla f = \langle 2x+2,0\rangle \implies \nabla f(-1,-1) = \langle0,0\rangle\)

\(\nabla f = \langle y, x-2y\rangle \implies \nabla f(-1,1) = \langle-1,1\rangle \neq\langle0,0\rangle\)

\(\nabla f = \left\langle y + \frac1{x^2}, x + \frac1{y^2}\right\rangle \implies \nabla f(-1,1) = \langle0,0\rangle\)

The first and third functions drop out.

The second function depends only on \(x\). Compute the second derivative and evaluate it at the critical point \(x=-1\).

\(f(x,y) = x^2+2x \implies f'(x) = 2x + 2 \implies f''(x) = 2 > 0\)

This indicates a minimum when \(x=-1\). In fact, since this function is independent of \(y\), every point with this \(x\) coordinate is a minimum. However,

\(x^2 + 2x = (x + 1)^2 - 1 \ge -1\)

for all \(x\), so (-1, 1) and all the other points \((-1,y)\) are actually global minima.

For the fourth function, check the sign of the Hessian determinant at (-1, 1).

\(H(x,y) = \begin{bmatrix} f_{xx} & f_{xy} \\ f_{yx} & f_{yy} \end{bmatrix} = \begin{bmatrix} -2/x^3 & 1 \\ 1 & -2/y^3 \end{bmatrix} \implies \det H(-1,-1) = 3 > 0\)

The second derivative with respect to \(x\) is -2/(-1) = 2 > 0, so (-1, -1) is indeed a local minimum.

The correct choice is the fourth function.

Answer: A

Step-by-step explanation:

The y intercept is positive 1, so it’s not C or D

The slope is positive because it’s going up from left to right so it’s not B

Answer:

The answer is " The sequence converges to infinity. "

Step-by-step explanation:

Given:

\(\to a_n=\frac{n^3-n}{n^2+5n}\)

\(\lim_{n \to \infty} a_n= \lim_{n \to \infty} \frac{n^3-n}{n^2+5n}\)

                   \(= \lim_{n \to \infty} \frac{n(n^2-1)}{n(n+5)}\\\\= \lim_{n \to \infty} \frac{(n^2-1)}{(n+5)}\\\\= \lim_{n \to \infty} \frac{n(n-\frac{1}{n})}{n(1+\frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n-\frac{1}{n})}{(1+\frac{5}{n})}\\\\\)

Denominator\(= \lim_{n \to \infty} 1+\frac{5}{n}=1+\lim_{n\to \infty} \frac{5}{n}=1+0=1\)

Numerator \(=\lim_{n\to \infty}n-\frac{1}{n}=\infty\)

\(\therefore\\\\\lim_{n\to \infty}a_n=\frac{\infty}{1} =\infty\)

Answer:

7000

Step-by-step explanation:

plz mark brainliest

Answer:

7,000

Step-by-step explanation:

First, round the numbers:

Next, add:

I hope this helps!

Answer:

D.An equal chance or 50-50

Step-by-step explanation:

Also my name is Levi and my B-day is the 19th of Dec! (This is my mom's account)

The daily consumption rate in the United States will be 10 barrels per person.

Your question is incomplete as you didn't provide the total barrels, therefore, an overview of the answer will be given. In their case, let's assume that the total barrels is given as 3.1 billion.

Therefore, the barrels per person will be:

= Total barrels / Population

= 3.1 billion / 310 million

= 10 barrels per person.

In conclusion, the correct option is 10 barrels per person.

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Answer:

Step-by-step explanation:

so first you need to find the slope

you can draw the line on a graph and use a protractor

final answer=46 degrees

Answer:-5/-19

the answer is -5/-19 and can not be simplify

The trigonometric ratio for the cosine of the angle W derived as 48.18712, is equal to 0.6667.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

cos W = 10/15 {adjacent/hypotenuse}

cos W = 2/3

W = cos⁻¹(2/3) {cross multiplication}

W = 48.18712

cos W = cos 48.18712

Therefore, the cosine of the angle W is equal to using the trigonometric ratio.

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Answer:

358

Step-by-step explanation:

576

Answer:

6.09

Step-by-step explanation:

3.59 + 5 - 2.5 = 6.09

hope this helps...

Given:

The rule for horizontal asymptote is shown below:

For the given rational function, the degree of the numerator is equal to the degree of the denominator.

Hence, the horizontal asymptote is:

Answer:

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer: I can not see the picture

Step-by-step explanation:

can you show it?

The maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.

In the question, we are given that a satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1, where the distances are measured in km. The Earth shares the same center as the orbit.

We are asked to find the maximum distance between the satellite and the Earth if the radius of the Earth is 6,370 km.

Given elliptical form is:

x²/47,472,100 + y²/44,222,500 = 1,

or, x²/6,890² + y²/6,650² = 1.

The radius of the Earth, R = 6,370 km.

We know that the standard elliptical form is:

(x - h)²/a² + (y - k)²/b² = 1, Where, in a horizontal ellipse;

a = The major axis (the longer axis), which gives the maximum distance between the satellite and Earth.

b = The minor axis (the shorter axis).

On comparing the given elliptical form to the standard elliptical form, we get a = 6,890.

The distance between the satellite and the surface of the Earth, d, is given as follows:

d = a - R

Which gives;

d = 6,890 km - 6,370 km = 520 km.

Thus, the maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.

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The linear function h is given by h(x) = -2x + 20. To find this, we need to solve a system of two equations and two unknowns, x and b.

A linear function is a mathematical equation that describes a straight line. It is defined by an equation of the form y = mx + b, where x and y are variables, and m and b are constants that determine the slope and y-intercept of the line, respectively. Linear functions are used to describe relationships between two variables, such as in graphing, statistical analysis, and economics. Linear functions can also be used to model complex systems, such as the stock market or the behavior of other physical systems.

The linear function h is given by h(x) = -2x + 20. To find this, we need to solve a system of two equations and two unknowns, x and b. The two equations are:

h(4) = -14

h(-4) = 26

We can solve for x and b by subtracting the two equations from each other:

h(4) - h(-4) = -14 - 26

-2(4 + (-4)) = -40

-2(0) = -40

Now we can solve for b by substituting 4 into the equation and solving for b:

h(4) = -2(4) + b

-14 = -8 + b

b = 6

Therefore, the linear function h is given by h(x) = -2x + 6.

To find h(9), we can substitute 9 into the equation and solve for h(9):

h(9) = -2(9) + 6

h(9) = -18 + 6

h(9) = -12

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A jug has gallon of water inside it. 8 pints of water are in the jug.

What is meant by gallon?

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Answer:

\(You \: draw \: a \: picture \: which \\ represent \: your \: problem. \\Since \: R \: is \: on \: the \\ segment \: QS, \: the \: length \: of \\ QS \: is \: equal \: to \: length \\ of \: QR \: plus \: length \: of \: RS \\ QS=QR+RS \\ 2x+2=3x-5+5x-5 \\Solve \: for \: x \\ 2x+2=8x \\ 6x=2 \\x=2/6=1/3 \\ Now, \: use \: value \\ of \: x \: to \: calculate \: QR\)

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

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Answer:C. The value of the series is equal to the value of the 1st or 24th numbers in the series.

Step-by-step explanation:

The given series is .

To find the first term of this series, we substitute k=1 to obtain:

To find the 24th term of the series, we put k=24 to get:

The value of the series is the sum of all the terms in the series.

We can find the value of the series using the formula:

.

In this case, the last term is .

.

.

.

Now let us analyse the options:

A. The value of the series is greater than the value of the 24th number in the series.

False: because 6 is not greater than 6.

B. The value of the series is between the values of the 1st and 24th numbers in the series.

False:  because 6 is not between -5.5 and 6

C. The value of the series is equal to the value of the 1st or 24th numbers in the series.

True: In logics, an "or" statement (disjunction) is true if one of the alternatives is true. In this case the sum of the series is equal to the 24th number of the series because 6=6 is true

D. The value of the series is less than the value of the 1st number in the series.

False: because 6 is not less than -5.5

Step-by-step explanation:

Answer:

the lost 22 yards altogether

they now have -22 yards i believe

Answer:

i think -22 might be the answer

Step-by-step explanation:

The center of the circle is (13, 2)

The radius of the circle is 9

To find the center and radius of the circle described by the equation:

(x + 13)² + (y + 2)² = 81

We can compare with the standard form of the equation of the circle which is

(x - h)² + (y - k)² = r²

it can be deduced that

-h = 13, h = -13

-k = 2, k = -2

r² = 81, r = 9

This is the equation for a circle with center at (13, 2) and radius 9. So the center of the circle is (13, 2) and the radius is 9.

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Answer:

Center = (-13,-2)
Radius = 9

Answer:

S=100x^8y²z^6 is your answer

Step-by-step explanation:

we have

S=4πr²

when

r=5x⁴yz³

new S

will be

S=4π(5x⁴yz³)²=4×5²×x^(4×2)×y²×z^(3×2)

=100x^8y²z^6

The amount is $7327.49 and the interest is $1327.49.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

After plugging the given information we have

maybe try quizzlet that would really help i swear

Answer:

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We have the point (-6,8) and a slope of -5/3.

Step 1: Use the point-slope formula to find the equation of the line in point-slope form.

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point.

y - 8 = (-5/3)(x - (-6))

Simplify this equation:

y - 8 = (-5/3)(x + 6)

Step 2: Convert the equation to slope-intercept form.

Distribute (-5/3) to get:

y - 8 = (-5/3)x - 10

Add 8 to both sides:

y = (-5/3)x - 2

This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Answer:

8+h3-4

Step-by-step explanation:

10(h+2)−2h when h = 9.

The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expressions are,

⇒ 7 + h² - 5

⇒ 10 (h + 2) - 2h

Now,

Solve the expression for h = 9 and find the relation between them as;

Since, The expressions are,

⇒ 7 + h² - 5    ...(i)

⇒ 10 (h + 2) - 2h       ...(ii)

Substitute h = 9 in (i), we get;

⇒ 7 + h² - 5 = 7 + 9² - 5

                  = 7 + 81 - 5

                  = 83

And, Substitute h = 9 in (ii), we get;

⇒ 10 (h + 2) - 2h = 10 (9 + 2) - 2 x 9

                         = 10 x 11 - 18

                         = 110 - 18

                         = 92

Thus, We get;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

Therefore, The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

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Answer:

0 1 and 5

Step-by-step explanation:

Not 6 because its an open dot which means that 6 is not included

I hope this helps?

Step-by-step explanation:

As my previous answer got deleted for being wrong (in which it was right), I will answer again.

The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.

This is proof that it is right, and that there are some corrupt admins on brainly.

How to get to this solution?

Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).

If we do so, we get 2a + 5 = 7.

Solving this equation, we get a = 1.