find an ordered pair that is a solution to the equation 6x-y=5

Answer:

C. Divide both sides of the inequality by 4 but don't flip the symbol.

Step-by-step explanation:

When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:

x ≥ -6

Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.

I really hope this helps! Have an amazing day :3

Answer:

350

Step-by-step explanation:

Answer:

Number of books paperback=50

Number of books hardcovered = 400 - 50 = 350

Step-by-step explanation:

the formula to determine the magnitude of a vector (in two dimensional space) v = (x, y) is: |v| =√(x2 + y2). This formula is derived from the Pythagorean theorem.

the formula to determine the magnitude of a vector (in three dimensional space) V = (x, y, z) is: |V| = √(x2 + y2 + z2)

Answer:

Area of the sector = \(\frac{\pi }{8}\) cm²

Step-by-step explanation:

Measure of the given arc = 45°

Central angle formed by the arc = 45°

Formula to be used,

Area of the sector bounded by the arc = \(\frac{\text{Central angle}}{360}\times \pi r^{2}\)

Here, r = radius of the circle

Area of the sector = \(\frac{45}{360}(\pi)(1)^2\)

                               = \(\frac{\pi }{8}\) cm²

Answer:

.

Step-by-step explanation:

Answer:

To be honest I think it is D

Step-by-step explanation:

9514 1404 393

Answer:

  y = -3.75

Step-by-step explanation:

Solving equations with decimal fractions is done the same way as with numbers in any other form. Use your skill with decimal number arithmetic.

  0.10(y -7) +0.02y = 0.20y -0.4

  0.10y -0.70 +0.02y = 0.20y -0.40

  -0.30 +0.12y = 0.20y . . . . . . . . add 0.40 and collect terms

  -0.30 = 0.08y . . . . . . . . . . . . . . subtract 0.12y

  -0.30/0.08 = y = -3.75 . . . . . . .divide by the coefficient of y

Answer:

2 5/8

Step-by-step explanation:

1 1/2 - 3/2

7/4 x 3/2= 2 5/8

Therefore , the solution of the given problem of angles comes out to be following about a normal 16-gon is FALSE:

The top but also bottom of wall separate the two circular edges that make the sides of a skew in Euclidean space. A junction point may develop when two beams collide. Another result of two things interacting is an angle. They most closely resemble dihedral shapes. Two line beams can be arranged in different ways at their extremities to form a two-dimensional curve.

Here,

The following about a normal 16-gon is FALSE:

c. The internal angle measure's total value is 28800.

We can use the following method to determine the total interior angle measure of a regular 16-gon:

Sum of internal angles equals (n - 2)180°, where n is the number of sides.

=> With n = 16, we obtain:

=> Interior angle total = (16 - 2) 180 = 2520 degrees.

Because of this, it is accurate to say that

=> 2520 degrees, not 28800, make up the interior angle measure of a regular 16-gon.

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Step-by-step explanation:

5.

\(y = \frac{2}{3} x - 1\)

6.

\(y = - x + 8\)

7.

given two points

(-4,2) and (0,-4)

slope is (-4-2)÷(0-(-4))=-6÷4=-1.5

\(y = - 1.5x - 4\)

8.

given two points

(0,0) and (5,0)

slope is 5

\(y = 5x\)

9.

\(2x + 8y = 16 \\ x + 4y = 8 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2\)

10.

\(3x - y = 5 \\ y = 3x - 5\)

Answer:

C & E

Step-by-step explanation:

Answer:

C.) The length of the major axis is 32 units.

E.) One of the foci is approximately

Step-by-step explanation:

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Answer:

A: square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), simplify the dividend, and then divide

Step-by-step explanation:

I just took the test

Answer:

A. square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), simplify the dividend, and then divide

Step-by-step explanation:

I got 100%

Answer: 0.96

Step-by-step explanation:

To round 0.956 to one decimal place, we need to look at the second decimal place (the hundredths place), which is 5. Since 5 is greater than or equal to 5, we need to round up the first decimal place (the tenths place), which is 9. Therefore, the rounded number to one decimal place is:

0.956 rounded to one decimal place = 0.96

The statement "If C is the input-output matrix for an economy with gross production vector x, then Cx is the net production vector" is describing the relationship between the input-output matrix C, the gross production vector x, and the net production vector.

In an economy, the input-output matrix C represents the interdependencies between different sectors or industries. Each entry in the matrix represents the amount of output from one sector that is required as an input by another sector. The gross production vector x represents the total output produced by each sector without considering the interdependencies.

When we multiply the input-output matrix C by the gross production vector x, the result Cx represents the net production vector.

The net production vector takes into account the interdependencies between sectors by subtracting the inputs required from other sectors from the gross production. It gives us the final production available for consumption or further production.

In summary, by multiplying the input-output matrix C by the gross production vector x, we obtain the net production vector Cx, which accounts for the interdependencies between sectors and represents the final output available for consumption or further production.

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Step-by-step explanation:

6x^2, and 9x^2 can both be combined

Let's start by finding out how much cranberry juice is currently in the 30 oz. mixture. If the mixture is 40% cranberry juice, then the amount of cranberry juice in ounces is:

0.4 x 30 = 12 oz.

We want to end up with a 30 oz. mixture that is 20% cranberry juice. So the amount of cranberry juice in ounces we need in the new mixture is:

0.2 x 30 = 6 oz.

To achieve this, we need to remove some of the original mixture, which contains 12 oz. of cranberry juice, and replace it with seltzer, which contains 0 oz. of cranberry juice. Let's say we remove x oz. of the original mixture.

The amount of cranberry juice left in the mixture after we remove x oz. is:

12 - x

The amount of seltzer left in the mixture after we remove x oz. is:

30 - x

If we replace the x oz. of mixture we removed with seltzer, the amount of cranberry juice in the new mixture is:

12 - x + 0 = 12 - x

And the amount of seltzer in the new mixture is:

30 - x + x = 30

We want the new mixture to contain 6 oz. of cranberry juice, which is 20% of the total 30 oz. So we can set up an equation:

(12 - x) / 30 = 0.2

Simplifying this equation, we get:

12 - x = 6

x = 6

So we need to remove 6 oz. of the original mixture and replace it with 6 oz. of seltzer to end up with a 30 oz. mixture that is 20% cranberry juice.

Answer:

Below

Step-by-step explanation:

The Answer Will Be 6 Percent.

ANSWER:

38.46%

STEP-BY-STEP EXPLANATION:

Given:

Problems solved by Thazzie: 5 problems

Problems solved by Zhaniyah: 8 problems

Which means that there are 13 problems in total.

Therefore, those 5 represent the following percent:

Therefore, it represents 38.46% of the problems solved by Thazzie

Answer:

5+7=12

96/12=8

5*8=40 cookies

Step-by-step explanation:

Answer:

they scored 10 in the first quarter

Step-by-step explanation:

44-14=30

30 divided by 3 = 10

(i got divided by 3 because its 3 quarters and i have to figure out the amount for 1 quarter)

Answer:

The base of this triangle is 2 units wide

Step-by-step explanation:

Your explanation is in the picture shown below!!!

An exponential function with a vertical stretch by a factor of 2 and a translation left 1 unit and up 2 units is given as follows:

y = 2(2)^(x + 1) + 2.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

A vertical stretch by a factor of k means that the definition of the function is multiplied by k.

The parent function in the context of this problem is given as follows:

y = 2^x.

Hence the exponential function with a vertical stretch by a factor of 2 and a translation left 1 unit and up 2 units is given as follows:

y = 2(2)^(x + 1) + 2.

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A company distributes colicge iogo sweatshirts and sells them for $40 each. The total cost function is linear, and the totai cost for foo sweatshirte is $3288, whereas the toeal cost for 240 sweatshirts is $5398.

A. The equation of the revenue function is f(x) = 40x

B.  The equation for the total cost function C(x) is: C(x) = 8.93x + 3252.28

C. The break-even quantity is x = 104 sweatshirts.

(a)

The revenue is calculated by multiplying the number of sweatshirts sold (x) by the selling price per sweatshirt ($40). Therefore, the equation for the revenue function f(x) is:

f(x) = 40x

(b)

The total cost function is linear, which means it can be represented by the equation of a straight line. We are given two points on the line: (4,3288) and (240,5398). We can use these points to find the slope (m) of the line and the y-intercept (b).

Using the formula for the slope of a line, m = (y₂ - y₁) / (x₂ - x₁), we can calculate the slope:

m = (5398 - 3288) / (240 - 4) = 2110 / 236 = 8.93 (rounded to two decimal places)

Now that we have the slope (m), we can use one of the points (4,3288) and the slope to find the y-intercept (b) using the point-slope form of a line:

y - y₁ = m(x - x₁)

C(x) - 3288 = 8.93(x - 4)

C(x) - 3288 = 8.93x - 35.72

C(x) = 8.93x - 35.72 + 3288

C(x) = 8.93x + 3252.28

Therefore, the equation for the total cost function C(x) is:

C(x) = 8.93x + 3252.28

(c)

To find the break-even quantity, we need to determine the value of x when the revenue equals the total cost. In other words, we need to find the value of x for which f(x) = C(x).

Setting f(x) = C(x):

40x = 8.93x + 3252.28

Subtracting 8.93x from both sides:

31.07x = 3252.28

Dividing both sides by 31.07:

x = 104.63

Since x represents the number of sweatshirts, we round down to the nearest whole number since you cannot have a fraction of a sweatshirt.

The break-even quantity is x = 104 sweatshirts.

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The equation represents Alonzo's profit as a function of the number of cases of candles he sells.

The equation that represents Alonzo's profit would be:

Profit = Revenue - Cost

In this case, Alonzo's revenue would be the amount of money he earns from selling his candles, which is $55 for each case of candles. So, if he sells "x" number of cases, his revenue would be:

Revenue = $55 x

His cost would be the initial amount he spent to get started, which is $425. So, the equation for his profit would be:

Profit = ($55 x) - $425

This equation represents Alonzo's profit as a function of the number of cases of candles he sells.

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Answer:

5t

Step-by-step explanation:

The distance from the base of the ladder to the bottom of the house is 6 feet and the distance between the top of the ladder and the ground is 8 feet.

Length of the ladder = 10 ft

Let the distance between the base of the ladder and the bottom of the house = x

Then the distance between the top of the ladder and the ground = (x+2)

x and x+2 distance are perpendicular to each other and making a right-angle triangle with the ladder of length 10-ft.

By applying pythagoras theorem,

(10)² = (x)² + (x+2)²

100 = x²+x²+4+4x

2x² + 4x - 96=0

x² + 2x - 48 = 0

x² + (8x-6x) - 48=0

x(x+8) - 6(x+8)

(x-6)(x+8) = 0

x = 6, x = -8

Taking the positive value

x= 6 feet, and (x+2) = 8 feet

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Answer:

y= 351

Step-by-step explanation:

–39 = – y/9

multiply both sides by 9

9x –39 = – y/9 x9

the nine in the denominator cancels with the 9 that is multiplied

-351 = -y or -y = -351

now we have a -y so we divide by -1 on both sides

-y/-1 = -351/-1

And the answer is y= 351