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3 years ago

Evaluate the expression for n=-4 n-1

Mathematics

1 answer:

KonstantinChe [14]3 years ago

4 0

Answer:

Step-by-step explanation:

Step 1: Add 4n to both sides.

n+4n=−4n−1+4n

5n=−1

Step 2: Divide both sides by 5.

−1

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Explain why the graph of the quadratic function ()=2++5 crosses the y-axis by does not cross the x-axis

irga5000 [103]

Answer:

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

Step-by-step explanation:

6 0

3 years ago

Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9

tatiyna

Answer:

The solution to the system of equations is

$\begin{gathered} x=\frac{179}{13} \\ \\ y=-\frac{279}{39} \\ \\ z=-\frac{48}{13} \end{gathered}$

Explanation:

Giving the system of equations:

$\begin{gathered} x+3y-z=-4\ldots\ldots\ldots\ldots\ldots\ldots..........\ldots\ldots\ldots\ldots.\ldots\text{.}\mathrm{}(1) \\ 2x-y+2z=13\ldots\ldots...\ldots\ldots\ldots\ldots..\ldots..\ldots\ldots\ldots\ldots\ldots.(2) \\ 3x-2y-z=-9\ldots\ldots\ldots.\ldots\ldots\ldots\ldots....\ldots\ldots.\ldots\ldots\ldots\text{.}\mathrm{}(3) \end{gathered}$

To solve this, we need to first of all eliminate one variable from any two of the equations.

Subtracting (2) from twice of (1), we have:

$5y-4z=-21\ldots\ldots\ldots\ldots\ldots.\ldots.\ldots..\ldots..\ldots\ldots.\ldots..\ldots\text{...}\mathrm{}(4)$

Subtracting (3) from 3 times (1), we have

$3y-5z=-3\ldots\ldots...\ldots\ldots..\ldots\ldots\ldots\ldots\ldots.\ldots\ldots\ldots\ldots\ldots..\ldots\ldots(5)$

From (4) and (5), we can solve for y and z.

Subtract 5 times (5) from 3 times (4)

$\begin{gathered} 13z=-48 \\ \\ z=-\frac{48}{13} \end{gathered}$

Using the value of z obtained in (5), we have

$\begin{gathered} 3y-5(-\frac{48}{13})=-3 \\ \\ 3y+\frac{240}{13}=-3 \\ \\ 3y=-3-\frac{240}{13} \\ \\ 3y=-\frac{279}{13} \\ \\ y=-\frac{279}{39} \end{gathered}$

Using the values obtained for y and z in (1), we have

$\begin{gathered} x+3(-\frac{279}{39})-(-\frac{48}{13})=-4 \\ \\ x-\frac{279}{13}+\frac{48}{13}=-4 \\ \\ x-\frac{231}{13}=-4 \\ \\ x=-4+\frac{231}{13} \\ \\ x=\frac{179}{13} \end{gathered}$

8 0

1 year ago

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1).

elena-s [515]

Answer:

The slope of g(x) is less than the slope of f(x)

Step-by-step explanation:

Find the slopes of both lines with rise/run

f(x): 3/1 = 3

g(x): 2/4 = 1/2

The slope of g(x) is less than the slope of f(x)

6 0

3 years ago

Read 2 more answers

if a(x) and b(x) are linear functions with one variable which of the following expression produces a quadratic equations

jeka94

Answer:

Step-by-step explanation:

If a(x) and b(x) are linear functions, then the term cx (where c is a constant) will be part of the makeup of each. Examples: a(x) = x - 2; b(x) = 3x + 5.

Multiplying together two binomial linear functions such as these will result in a quadratic equation. (x - 2)(3x + 5) = 3x^2 - 6x + 5x - 10 = 3x^2 - x -10 is an example.

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4 years ago

ava walks to the end of her section of trail and back in 90 minutes Luis walks his his section of the trail in 1 3/4 hours. Who

AlekseyPX

Answer:

Luis

Step-by-step explanation:

One hour is 60 minutes total, leaving and extra 30 minutes for Ava, which is half of 60. So, in fraction form, she walked 1 1/2 OR 1 2/4 hours, which is less than Luis. He walked about an hour and 45 minutes total, or 105 minutes.

6 0

3 years ago