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Which relation is a function?

Answers

Answer 1

Answer:

Answer:

The one on the bottom right corner

Step-by-step explanation:

The vertical line test would be used to find out if it's a function or not. In 3 out of the four graphs, it crosses the vertical line twice, unlike the bottom right option.

Answer 2

Answer:

Answer: Choice D in the bottom right corner

Reason

If it is ever possible to pass a single vertical line through more than one point on the curve, then that curve fails the vertical line test. Furthermore, it would mean that curve isn't a function.

This happens with choices A, B, and C. In other words, the top row and the graph in the bottom left corner. Any vertical line will fail the vertical line test.

Choice D, in the bottom right corner, passes the vertical line test. It is impossible to draw a vertical line through more than one point on the curve. Any x input in the domain leads to exactly one output in the range. Therefore, choice D is a function.

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Choose the best description of the roots of the equation. 4 x^2 - 3 x + 7 = 0 imaginary roots
real and rational roots
double root
real and irrational roots

Answers

imaginary roots

hope this helps :)

Answer:

imaginary roots

Step-by-step explanation:

just got the question right.

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Mike purchased 3 DVD's and 14 video games for $203. Nick went to the same store and brought 11 DVD's and 11 video games for $220. How much is each video game and each DVD?

Answers

$x-cost\ of\ DVD\ny-cost\ of\ video\ game\n\n \left \{ {{3x+14y=203\ \ \ } \atop {11x+11y=220\ \ } \right. \n\n From\ first\ second:\n11x=220-11y\ \ \ \ |:11\nx=20-y\n\nSubstitute\ to\ first:\n3(20-y)+14y=203\n60-3y+14y=203\n-3y+14y=203-60\n11y=143\ \ \ \ |:11\ny=13\n\nx=20-13=7\n\n \left \{ {{y=13} \atop {x=7}} \right.$

3D+14G=203(11) use elimination 33D+154G=2233
11D+11G=220(-14) to cancel G -154D-154G=-3080

-121D=-847 divide by -121 on both sides
D=7 plug back into equation
11(7)+11G=220
77+11G=220 subtract 77 from both sides
11G=143 divide by 11 on both sides
G=13

Which verbal expression best describes the algebraic expression 3x ÷ 5?The quotient of three times some number and five
The product of some number and five divided by three
The quotient of three and some number times five
The sum of three and some number divided by five

Answers

The right answer for the question that is being asked and shown above is that: "The quotient of three times some number and five." The verbal expression best describes the algebraic expression 3x ÷ 5 is that The quotient of three times some number and five

Answer:

The quotient of three times some number and five.

Step-by-step explanation:

Joan has a piece of fabric in the shape of a triangle. She measures two of the angles of the triangle, and each one is 60⁰. She creates two new triangles by cutting the fabric into two identical pieces with a single, straight cut through one of the vertices. Which word describes each of the two new triangles created by Joan's cut?

Answers

Answer:

Congruent

Step-by-step explanation:

By definition, congruent shapes have equal corresponding side lengths and equal corresponding angle measures, thus are identical. The question clearly states that Joan cut the fabric into two identical pieces with a straight cut through one of the vertices, hence the two triangles are congruent.

Answer:

Congruentword describes each of the two new triangles created by Joan's cut.

Find the point on the plane x - 2y + 3z = 12 that is closest to the point (0, 2, 2). (x, y, z) =( boxed 5 Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) F(x, y)-y-by cos(x), -1≤x≤7 local maximum value(s)DNE local minimum value(s)-12

Answers

Final answer:

The question pertains to finding theclosest point on a plane to a specific point and determining the local extremum points of a function using differential calculus. Due to word limitations, a step-by-step solution couldn't be provided.

Explanation:

The subject of this question is Mathematics, specifically it deals with the concepts of planes in three-dimensional space and finding local extremum points of a function. Firstly, to find the point on the plane x - 2y + 3z = 12 closest to the point (0, 2, 2), we can use the perpendicular distance formula from a point to a plane. To find the local maximum, minimum values and the saddle points of the function F(x, y) = -y − by cos(x), differential calculus should be used. Unfortunately, this requires more than 100 words, therefore I am unable to provide a step-by-step solution here.

Learn more about Differential Calculus and Plane Geometry here:

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