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3 years ago

The diagram on the right shows the graph of a quadratic

Mathematics

1 answer:

Ilya [14]3 years ago

6 0

Answer:

-1

Step-by-step explanation:

The shape of the graph is curved upwards

That mean the value of a is negative. Thus -1 is the suitable answer

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Write an equation of the line shown. Then use the equation to find the value of x when y=112

PtichkaEL [24]

Answer:

$y = 8x + 16$

$x = 12$

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format $y = mx + b$ .

Where,

$m = slope = \frac{y_2 - y_1}{x_2 - x_1}$

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

$(0, 16) = (x_1, y_1)$

$(3, 40) = (x_2, y_2)$

$slope (m) = \frac{40 - 16}{3 - 0}$

$slope (m) = \frac{24}{3}$

$slope (m) = 8$

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

$y = mx + b$

$16 = 8(0) + b$

$16 = 0 + b$

$16 = b$

$b = 16$

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

$y = mx + b$

$y = 8x + 16$

Let's use the equation to find x when y = 112.

$y = 8x + 16$

Substitute y = 112 in the equation

$112 = 8x + 16$

$112 - 16 = 8x$

$96 = 8x$

Divide both sides by 8

$12 = x$

$x = 12$

8 0

3 years ago

Twelve people want to see a movie. If each car can hold 4 people, which expression shows how many cars are needed to take all 12

Murrr4er [49]

Answer:

3 cars

Step-by-step explanation:

4 times 3 is 12

6 0

3 years ago

Compare each set of numbers using <, > or 3.082 x 105 4.13 x 103 Select one m

Darya [45]

Answer:

$4.13 \times 103 > 3.082 \times 105$

7 0

3 years ago

Factorise x^3+3x^2y+3xy^2+y^3

Nesterboy [21]

Answer:

(x + y)³

Step-by-step explanation:

use (a + b)³ = a³ + 3a²b + 3ab² + b³

x³ + 3x²y + 3xy² + y³ =

= (x + y)³

7 0

3 years ago

4 + - 7 = please answer this

AlexFokin [52]

Answer:

The answer is....

4+(-7)= -3

4 0

3 years ago