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3 years ago

Choose where it is a function or not a function also choose what is the range and the domain

Mathematics

1 answer:

kow [346]3 years ago

7 0

Not a function because of the vertical line test.
Domain is [-2,∞] since the left most point is -2 and the right is unbounded.
Range is (-∞,∞) since it is not bounded in terms of y.

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A line passes through points (2,5) and (5, 14). What is the slope of this line?

topjm [15]

We know that:

Slope of a line = change in y coordinate / change in x coordinate

We are given:

First point = (2,5)

Second point = (5, 14)

Calculating the change in y coordinate:

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

Calculating the change in x coordinate:

Δx = second x - first x

Δx = 5 - 2

Δx = 3

Slope of the line:

Slope = (Δy) / (Δx)

Slope = 9 / 3 [replacing the values]

Slope = 3

7 0

3 years ago

Evaluate the expression 3(7 + 4)2 − 24 ÷ 6

solong [7]

Answer:

3(7 + 4)2 − 24 ÷ 6 = 62

Step-by-step explanation:

3(7 + 4)2 − 24 ÷ 6 is the given expression.

Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,

M = multiplication, A = addition and S = subtraction

we try and solve the following expression in the same order.

Solving the bracket first, we get

3(7 + 4)2 − 24 ÷ 6 = 3(11)2 − 24 ÷ 6 = 66 − 24 ÷ 6

Next, we solve divide,

66 − 24 ÷ 6 = 66 - 4

Next, solving the subtraction, 66 - 4 = 62

Hence, 3(7 + 4)2 − 24 ÷ 6 = 62

6 0

3 years ago

Solve for x and y in the system of equation 3x²+4y=17 2x²+5y=2 I'll mark brainliest

Novay_Z [31]

Answer:

$x=\pm \sqrt{11} \\y=-4.$

Step-by-step explanation:

$\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \: 2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.$

7 0

3 years ago

Joe asked the children in his class which flavours of ice-cream they like.

Leya [2.2K]

Answer:

a. 19

b. 14

Step-by-step explanation:

From the venn diagram, we see that:

9 children like only Vanilla

7 like vanilla and chocolate

12 like only chocolate, and

2 like neither chocolate nor vanilla

Thus:

a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19

19 children like chocolate ice-cream.

b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14

14 children do not like vanilla ice-cream.

5 0

3 years ago

How do do the work for 12c+6c=36

BlackZzzverrR [31]

Apologies for the bad handwriting.

5 0

3 years ago

Read 2 more answers