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3 years ago

How do you graph y-2x=2

Mathematics

2 answers:

iris [78.8K]3 years ago

6 0

Turn it into y=mx+b form so it is y=2x+2 the b=2 so y intercept is (0,2) and the slope is 2, do a rise of two and a run of 1 and then connect the dots

White raven [17]3 years ago

3 0

Turn it into y=mx+b form so it is y=2x+2 the b=2 so y intercept is (0,2) and the slope is 2, do a rise of two and a run of 1 and then connect the dots!I hope this helped!(your answer is the picture down below)

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How to find the area of irregular figures

Cloud [144]

Instead, break down the shape into rectangles. Next, calculate the area of both rectangles and add them together. The area of the first rectangle is 72 square centimeters and the area of the second rectangle is 50 square centimeters. Together there are 72 + 50 = 122 square centimeters.

That is how u find a irregular figure..hope this help u

3 0

3 years ago

The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent

kherson [118]

Answer:

20%

Step-by-step explanation:

First we find the actual dollar amount of the discount.

$65.50 - $52.40 = $13.10

Now we need to find what percent of $65.50 is $13.10.

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

percent = $13.10/$65.50 * 100% = 20%

Answer: 20%

4 0

2 years ago

Read 2 more answers

Can someone help me with this, please? No links or false answers, please

VARVARA [1.3K]

The exact value is found by making use of order of operations. The

functions can be resolved using the characteristics of quadratic functions.

Correct responses:

$\displaystyle 1\frac{4}{7} \div \frac{2}{3} - 1\frac{5}{7} =\frac{9}{14}$

x = -4, y = 12

When P = 1, V = 6

$\displaystyle x = -3 \ or \ x = \frac{1}{2}$

$\displaystyle i. \hspace{0.1 cm} \underline{ f(x) = 2 \cdot \left(x - 1.25 \right)^2 + 4.875 }$

ii. The function has a minimum point

iii. The value of x at the minimum point, is 1.25

iv. The equation of the axis of symmetry is x = 1.25

<h3>Methods by which the above responses are found</h3>

First part:

The given expression, $\displaystyle \mathbf{ 1\frac{4}{7} \div \frac{2}{3} -1\frac{5}{7}}$ , can be simplified using the algorithm for arithmetic operations as follows;

$\displaystyle 1\frac{4}{7} \div \frac{2}{3} - 1\frac{5}{7} = \frac{11}{7} \div \frac{2}{3} - \frac{12}{7} = \frac{11}{7} \times \frac{3}{2} - \frac{12}{7} = \frac{33 - 24}{14} =\underline{\frac{9}{14}}$

Second part:

y = 8 - x

2·x² + x·y = -16

Therefore;

2·x² + x·(8 - x) = -16

2·x² + 8·x - x² + 16 = 0

x² + 8·x + 16 = 0

(x + 4)·(x + 4) = 0

x = -4

y = 8 - (-4) = 12

y = 12

Third part:

(i) P varies inversely as the square of V

Therefore;

$\displaystyle P \propto \mathbf{\frac{1}{V^2}}$

$\displaystyle P = \frac{K}{V^2}$

V = 3, when P = 4

Therefore;

$\displaystyle 4 = \frac{K}{3^2}$

K = 3² × 4 = 36

$\displaystyle V = \sqrt{\frac{K}{P}$

When P = 1, we have;

$\displaystyle V =\sqrt{ \frac{36}{1} } = 6$

When P = 1, V = 6

Fourth Part:

Required:

Solving for x in the equation; 2·x² + 5·x - 3 = 0

Solution:

The equation can be simplified by rewriting the equation as follows;

2·x² + 5·x - 3 = 2·x² + 6·x - x - 3 = 0

2·x·(x + 3) - (x + 3) = 0

(x + 3)·(2·x - 1) = 0

$\displaystyle \underline{x = -3 \ or\ x = \frac{1}{2}}$

Fifth part:

The given function is; f(x) = 2·x² - 5·x + 8

i. Required; To write the function in the form a·(x + b)² + c

The vertex form of a quadratic equation is f(x) = a·(x - h)² + k, which is similar to the required form

Where;

(h, k) = The coordinate of the vertex

Therefore, the coordinates of the vertex of the quadratic equation is (b, c)

The x-coordinate of the vertex of a quadratic equation f(x) = a·x² + b·x + c, is given as follows;

$\displaystyle h = \mathbf{ \frac{-b}{2 \cdot a}}$

Therefore, for the given equation, we have;

$\displaystyle h = \frac{-(-5)}{2 \times 2} = \mathbf{ \frac{5}{4}} = 1.25$

Therefore, at the vertex, we have;

$k = \displaystyle f\left(1.25\right) = 2 \times \left(1.25\right)^2 - 5 \times 1.25 + 8 = \frac{39}{8} = 4.875$

a = The leading coefficient = 2

b = -h

c = k

Which gives;

$\displaystyle f(x) \ in \ the \ form \ a \cdot (x + b)^2 + c \ is \ f(x) = 2 \cdot \left(x + \left(-1.25 \right) \right)^2 +4.875$

Therefore;

$\displaystyle \underline{ f(x) = 2 \cdot \left(x -1.25\right)^2 + 4.875}$

ii. The coefficient of the quadratic function is 2 which is positive, therefore;

The function has a minimum point.

iii. The value of x for which the minimum value occurs is -b = h which is therefore;

The x-coordinate of the vertex = h = -b = 1.25

iv. The axis of symmetry is the vertical line that passes through the vertex.

Therefore;

The axis of symmetry is the line x = 1.25.

Learn more about quadratic functions here:

brainly.com/question/11631534

6 0

2 years ago

Read 2 more answers

Which equation has a slope of -5/2 and a y-intercept of -2

Fantom [35]

Answer:

Step-by-step explanation:

slope-intercept equation for line of slope -5/2 and y-intercept -2:

y = (-5/2)x-2

put into standard form:

(5/2)x + y = -2

5x + 2y = -4

4 0

2 years ago

Read 2 more answers

ANSWER THESE AND I WILL MARK BRAINLIEST

SSSSS [86.1K]

Can't read the question

3 0

2 years ago