Using the graph of a systems of equations on the
right:
A) What is the solution of the system of
equations?
a) (1,0)
b) (1, 2.5)
c) (1, 1)
d) (2,-2)

The vectors (1, -1), (1, 2), and (2, 1) are linearly dependent because they can be expressed as linear combinations of each other.

To show that the vectors are linearly dependent, we need to demonstrate that at least one of them can be expressed as a linear combination of the others. In this case, let's express the vector (2, 1) as a linear combination of the other two vectors.

We can write the vector (2, 1) as follows:

(2, 1) = a(1, -1) + b(1, 2)

Expanding the right side, we have:

(2, 1) = (a + b, -a + 2b)

By comparing the corresponding components, we get the following system of equations:

2 = a + b

1 = -a + 2b  

Solving this system of equations, we find that a = 1 and b = 1. Therefore, the vector (2, 1) can be expressed as a linear combination of the vectors (1, -1) and (1, 2), indicating that the three vectors are linearly dependent.

Since we have found a nontrivial solution to the equation, it confirms that the vectors (1, -1), (1, 2), and (2, 1) are linearly dependent.

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Answer:

$0.60

Step-by-step explanation:

Well, to find the cost of one cookie, we have to divide 9 by 15.

9/15=.6

.6 as cents is 60 cents.

Each cookie costs 60 cents.

Hope this helped you!! Have a wonderful day ^^

Answer:

0.6 Cents per cookie

Step-by-step explanation:

If you divide the cost by 15 you'll get 0.6 Cents.

Hope this helps.

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

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Answer:

-7,-6,-3.these are the vertices

Answer:

Step-by-step explanation:

When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form \((x,y)\).

So, first, we need to plot 11 on the \(x\)-axis (the line going left to right, horizontal) then plot 7 on the \(y\)-axis (the vertical line)

So we first go 11 units to the right along the \(x\)-axis then go up 7 units along the \(y\)-axis.

Hope this helped.

Plot a point on a coordinate plane just remember that the coordinate given is of the form .  Follow this simple steps and the image given below.

For more details about graph plot click the link given below.

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Step-by-step explanation:

I hope the answer helps u dear

Answer:

1/1

it would be rise over run (rise/run) where the line rises 1 and runs 1. good luck. the answer could just be 1.

The distance formula in mathematics establishes a right triangle with the given points defining the hypotenuse. This is the longest side of the triangle and it represents the direct distance between the two points.

The correct answer is D).

When using the distance formula in mathematics, you're indeed constructing a right triangle. However, the part of the triangle that goes between the two given points is not the angle, base, or leg of the triangle, but rather the hypotenuse. This is the longest side of the right triangle, lying opposite to the right angle, and it represents the direct distance between your two given points. For instance, if you have points A and B, draw a horizontal line from A to directly under B, then draw a vertical line from that point to B. These form two legs of your right triangle. The hypotenuse would be the line drawn directly from A to B.

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Answer:

9 oranges per glass

Step-by-step explanation:

The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".

The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.

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Answer:

1 1/2 hours i think

Step-by-step explanation:

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

72.5 / 2.5 = 29

29 - 8 = 21

21 / 3 = 7

7

Step-by-step explanation:

No. of ways of selecting the 5 member committee by combination= 1981

What are the number of ways of selecting the 5 member committee ?

No. of women faculty in the mathematics department = 7

No. of men faculty in the mathematics department = 7

Total number of faculty members = 14

Condition - at least one woman must be on the committee

No. of ways of selection = C (14, 5) - C (7, 5)

We know that combination C(n , r) = \(\frac{n!}{(n-r)!r!}\)

Consider the total combination C (14, 5),

\(C (14, 5)=\frac{14!}{9!5!} \\\\=\frac{14 *13* 12 *11 *10 *9!}{9!* 5!} \\\\=\frac{14 *13* 12 *11 *10}{120} \\\\= \frac{240240}{120} \\\\= 2002\)              

Consider the combination of men C (7, 5) ,

\(C (7, 5)=\frac{7!}{2!5!} \\\\=\frac{7*6*5!}{2!* 5!} \\\\=\frac{7*6}{2} \\\\= 7*3\\\\=21\)

No. of ways of selection = C (14, 5) - C (7, 5)

                                        = 2002 - 21

                                        =1981

No. of ways of selecting the 5 member committee of the department with least one woman by combination= 1981

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Answer:

The equation 7z(x^2 + y^2) = 0 defines a surface in 3-dimensional space.

To understand the surface, it helps to first consider the equation x^2 + y^2 = 0, which is the equation of a single point at the origin (0, 0, 0) in 3-dimensional space.

Multiplying this equation by any non-zero number, such as 7z, still gives the same point. Therefore, the equation 7z(x^2 + y^2) = 0 also defines a single point at the origin.

In other words, the surface defined by this equation is a single point in 3-dimensional space, namely the origin.

The surface defined by the equation 7z = x^2 + y^2 is a paraboloid. To visualize this surface, imagine a parabola with its vertex at the origin and opening upward along the z-axis. As this parabola is rotated about the z-axis, it generates the paraboloid surface.

A paraboloid is a three-dimensional surface that is generated by rotating a parabola about its axis of symmetry. In this case, the equation is in the form z = (x^2 + y^2)/7, which is a standard form of a paraboloid with the vertex at the origin (0,0,0) and the axis of symmetry along the z-axis.

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The extent to which conclusions developed from data collected from a sample can be extended to the population is known as generalizability.

Generalizability is defined as the ability to extend the findings of a research study conducted on a sample to the population as a whole. The extent to which the research findings can be applied to other individuals, groups, or settings is determined by generalizability. The more representative the sample is of the population, the more generalizable the results will be to the population. However, if the sample is not representative of the population, the results may not be generalizable to the population as a whole. Therefore, it is important to ensure that the sample is representative of the population and that the study is conducted in a manner that minimizes bias and maximizes the validity of the results.

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Answer: 8055

Step-by-step explanation:

Answer:go o trey acc and you goin see the tea about trey really being elijah (Asia)

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

Because the have the same scale if you multiply all sides by one number they should be equal. 20/5=4

Answer:

Short answer 4cm

Step-by-step explanation:

Long answer I did the quiz and got It correct so yeah.

The  Smallest numbers is 3.068 and 3.6

Check the whole number portion of each decimal number before placing them in ascending order. Since 4 is the smallest whole number, the smallest decimal number is 4.926. The remaining decimal digits all contain the same whole number, or 18.

The least number among those given is 1.

The smallest three-digit number in the number system is 100, which becomes a two-digit number, which is 99, when one is deducted from the number (a two-digit number). Therefore, in the number system, 100 is the smallest three-digit number. The smallest three-digit number is 100, which is so proven.

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The inequality that represents how many fish the cooler could hold is D. 7 ≤ f

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Inequality is created when two or more algebraic expressions are compared using the symbols. This is illustrated thus:

p ≠ q means that p is not equal to q

p < q means that p is less than q

p > q means that p is greater than q

p ≤ q means that p is less than or equal to q

p ≥ q means that p is greater than or equal to q

In this situation, Julius went fishing on Saturday morning. He took a cooler to store the fish that he caught. The cooler could hold a maximum of 7 large fish. The inequality is 7 ≤ f.

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We have the following expression:

We need all the terms with the variable "x" on the left side of the equation. The first step to do that is add "(-1/2)x" on both sides of the equation, because that will add with "(-1/2)x" to zero and there will be only constants on the right side.

Answer:

i think the answer would be b

Step-by-step explanation:

sorry if i am wrong

Answer: Anything less than for ft.

Step-by-step explanation:

Draw a number line I dunno.

Answer:

Given that a circle of radius 5 miles has an arc of length 3 miles.

The central angle of the arc can be found using the formula:\(\[\text{Central angle} = \frac{\text{Arc length}}{\text{Radius}}\]\)

Substitute the given values into the formula to get:\(\[\text{Central angle} = \frac{3}{5}\]\)

To get the answer in degrees, multiply by 180/π:\(\[\text{Central angle} = \frac{3}{5} \cdot \frac{180}{\pi}\]\)

Simplify the expression:\(\[\text{Central angle} \approx 34.38^{\circ}\]\)

Therefore, the measure of the central angle that subtends the arc of length 3 miles in a circle of radius 5 miles is approximately 34.38 degrees.

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The best measure of how big Jerry can build his house as required in the task content is; 60' by 90'.

It follows from the task content that the dimension of the family lot purchased by Jerry in a bid to build his house has dimensions; 90' × 120'.

Since the city requires 20' setback on the front and 10' setback at the back, it follows that the vertical length remaining and available to build his house is; 120' - 20' - 10' = 90'.

Also, the horizontal width available for him to build his house after the 15' setback along the sides is; 90' - 15' - 15' = 60'.

Therefore, the space available for Jerry to.build his house is; 60' × 90'.

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Answer:

-2\(x^{2}\)+3xy+8\(y^{2}\)

Step-by-step explanation:

Answer: 65

Step-by-step explanation:

First we need to know what the 13 is 20% of. 13 is 20% of 65.

To make sure we are correct we must take 20% of the 65 which gives us 13 showing that 20% of the 65 skittles (13) are red.

Hope that helped :)