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Thepotemich [5.8K]

3 years ago

13

When the polynomial is written in standard form, what are the values of the leading coefficient and the constant? 5x + 2 - 3x^2

1 answer:

earnstyle [38]3 years ago

7 0

Leading coefficient = -3
Constant = 2

When you order them in standard form, you need to put them in ascending order of the exponents. Therefore the -3x^2 would come first, which makes the number attached (-3) the lead coefficient.

Also, since the number (2) without an x attached would be last (due to the power of x technically being 0), than that is the constant.

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Williams salary is £24000 his salary increases by 4% work out Williams new salary

Ad libitum [116K]

100% = 24000
50 % = 12000
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3 years ago

A square has a diagonal length of 5 cm. The area of the squareiscm2. Round answer to the nearest tenths ifneeded.

Whitepunk [10]

$\begin{gathered} \text{Diagonal}=5\operatorname{cm} \\ \text{Area}=\frac{D^2}{2} \\ \\ \text{Area}=\frac{(5cm)^2}{2} \\ \\ \text{Area}=\frac{25\operatorname{cm}^2}{2} \\ \\ \text{Area}=12.5\operatorname{cm}^2 \\ \text{The area of the square is 12.5 cm }^2 \end{gathered}$

6 0

1 year ago

Select the correct answer.

Radda [10]

Answer:

$(-1\frac{1}{3}, 4\frac{3}{5})$

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = $m = \frac{rise}{run} = \frac{2}{1} = 2$

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = $m = \frac{rise}{run} = -\frac{3}{1} = -3$

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

$x = \frac{6}{-5} = -1\frac{1}{5}$

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

$y = -3\frac{-6}{5} + 1$

$y = \frac{18}{5} + 1$

$y = \frac{18 + 5}{5}$

$y = \frac{23}{5}$

$y = 4\frac{3}{5}$

✅The exact solution would be: $(-1\frac{1}{3}, 4\frac{3}{5})$

3 0

3 years ago

How do you prove that lines are similar in triangles if it is parallel? (look at photo)

Ghella [55]

Answer:

they are similar cuz it resembles a "z" pattern. The angles are so the same.

5 0

3 years ago

Two points have the same y-coordinate but opposite x-coordinates. Which is a possible graph of these points?

Reika [66]

Answer:

A graph with one point in the secound quadrant, and one in the fourth quadrant. (top left answer)

Step-by-step explanation:

X axis is -

Y axis is |

4 0

2 years ago

Read 2 more answers