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3 years ago

Which system is represented by the graph?

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Answer:

The system that is represented by the graph is (a) $y=3x-2\\y=3x-1$ .

Step-by-step explanation:

The Slope-Intercept Form of the equation of a straight line is given by:

$y = mx + b$

the slope is given by $m$ and the y-intercept is given by $b$ .

The slope of a line is a number that measures its "steepness" and its given by:

$Slope=m=\frac{\:change \:in \:y}{\:change \:in \:x}=\frac{y_2-y_1}{x_2-x_1}$

The y-intercept is where a line crosses the y-axis of a graph (0, b).

From the graph, we can see that the y-intercept is -1 for the blue line and -2 for the orange line.

The blue line appears to go through the points (0,-1) and (1, 2) and the slope is

$m=\frac{2+1}{1-0}=\frac{3}{1}=3$

The orange line appears to go through the points (0,-2) and (1, 1) and the slope is

$m=\frac{1+2}{1-0}=\frac{3}{1}=3$

So, the system that is represented by the graph is

$y=3x-2\\y=3x-1$

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Rom4ik [11]

Answer:

the 1st one

Step-by-step explanation:

because A<C are the only angle ur missing.

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3 years ago

Read 2 more answers

Find the surface area of a square prism with a side measure of 6.

Vesnalui [34]

The surface area of any solid is the summation of all the areas of its faces. For a square prism, the surface area is therefore calculated through the equation,
A = 6e²
where A is area and e is the measure of the side.

From the given above, it is stated that the edge of the prism measures 6. Substituting this value to the equation above,
A = (6)(6²)
A = 216
Therefore, the surface area of the given prism is equal to 216 square units.

3 0

3 years ago

On a certain hot summer's day, 166 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for

Shalnov [3]

Answer:

134 children and 32 adults.

Step-by-step explanation:

This solution is based on guess and check, I don't know if you know this method but it's used all the time for questions like these.

Or the faster way called assumption, but it is much harder and might get careless easily.

So let's do guess and check.

Predict how much adults and children would be there.

Let's say 76 children and 90 adults.

76 x 1.50 = 114

90 x 2.00 = 180

Total for first attempt = 180 + 114 = 294

The total amount is too much, so let's lower the number of adults and increase the number of children.

Let's say 85 children and 81 adults.

85 x 1.50 = 127.5

81 x 2.00 = 162

162 + 127.5 = 289.5

Again it's too much.

Let's make it 120 children and 46 adults.

120 x 1.50 = 180

46 x 2.00 = 92

180 + 92 = 272

It's too much but almost there, let's make another one.

140 children and 32 adults.

140 x 1.50 = 210

32 x 2.00 = 64

Too much children, lower it down to 132 children and 34 adults.

132 x 1.50 = 198

34 x 2.00 = 68

198 + 68 = 266

As you can see we're quite close.

134 children and 32 adults.

134 x 1.50 = 201

32 x 2.00 = 64

201 + 64 = 265

So we finally got the answer.

7 0

3 years ago

State what method you are using to solve the system. Then solve the system. Show all steps of your work, clearly state your answ

Anit [1.1K]

Answer:

The method used is substitution method

x = 2, y = -6

Step-by-step explanation:

Given the simultaneous equation

Y = −3x ..... 1

4x + y = 2 ... 2

Substitute equation 1 into 2

4x + (-3x) = 2

4x - 3x = 2

x = 2

Get y:

y = -3x

y = -3(2)

y = -6

<em>Hence the value of (x, y) is (2, -6)</em>

6 0

3 years ago

Which values of x satisfy the inequality 0. 5 x minus 0. 75 greater-than-or-equal-to 3. 25 x greater-than-or-equal-to 5 x less-t

telo118 [61]

To solve the problem we should know about Expressions.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of x in the inequality should be ≥8.

Given to us

(0.5x - 0.75) ≥ 3.25

<h3>Solve the inequality,</h3>

$(0.5x - 0.75) \geq 3.25\\\\0.5x \geq 3.25+ 0.75\\\\0.5x\geq 4\\\\x\geq \dfrac{4}{0.5}\\\\x\geq 8$

Hence, the value of x in the inequality should be ≥8.

Learn more about Inequality:

brainly.com/question/19491153

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2 years ago