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3 years ago

Write an equation of the line that passes through the given point and is parallel to the given line.

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

Answer:

y = -3

Step-by-step explanation:

The given line is a horizontal line thru -5 on the y-axis.

Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3). Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.

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Using a line of best fit, which of these would be a reasonable prediction for the population of Idaho in 2020?

Vika [28.1K]

Answer: I would have to say B

Step-by-step explanation: Because it is right along the line of that.

7 0

3 years ago

Please help! what polynomial must be added to −5x^3 + 4x − 3 so that the sum is x^2 − x − 1?

lakkis [162]

<h3>Solution:- </h3>

Let the number to be added be A

Now,

$\begin{gathered}\implies\quad \sf −5x^3 + 4x − 3 + A = x^2 − x − 1 \\\end{gathered}$

Transposing (−5x³+ 4x − 3 ) to other side-

$\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 -( −5x^3 + 4x − 3) \\\end{gathered}$

Remember if there is a -ve sign before a bracket the signs of whole of the terms changes on opening bracket

$\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 + 5x^3 - 4x + 3\\\end{gathered}$

Putting like terms together -

$\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 - x -4x +3 -1 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 -5x +2 \\\end{gathered}$

$\longrightarrow$ Therefore, 5x³+x²-5x +2 should be added to −5x³+ 4x − 3 to get x²− x − 1

6 0

3 years ago

Which represents the solution set to the inequality -1.5(4x + 1) > 4.5 -2.5(x + 1)?

laila [671]

<h2>The solution set to inequality is:</h2>

$\boxed{-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x$

Solution:

Given inequality is:

$-1.5(4x + 1) > 4.5 -2.5(x + 1)$

We have to find the solution set to inequality

From given,

$-1.5(4x + 1) > 4.5 -2.5(x + 1)\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4x+1\right)\cdot \:10>4.5\cdot \:10-2.5\left(x+1\right)\cdot \:10\\\\-15\left(4x+1\right)>45-25\left(x+1\right)$

Expand

$-60x -15 > 45 -25x - 25\\\\Simplify\\\\-60x-15>-25x +20$

$\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\-60x-15+15>-25x+20+15\\\\Simplify\\\\-60x>-25x+35\\\\\mathrm{Add\:}25x\mathrm{\:to\:both\:sides}\\\\-60x+25x>-25x+35+25x\\\\Simplify\\\\-35x>35\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-35x\right)\left(-1\right)$

Thus the solution set is:

$-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x$

4 0

3 years ago

Read 2 more answers

Use the magic penny parable to determine how much money you would have after 8 days.

Anit [1.1K]

Use the formula T(x) = 0.01x2^x

X is the number of days.

T(8) = 0.01 x 2^8

T(8) = 0.01 x 256

T(8) = $2.56

3 0

4 years ago

Use the given expression to complete the statements.

amid [387]

Answer:

In the first term, 5 is a coefficient of x

In the second term, (3y+ 13) is a variable which coefficient is 8

In the third term, -1 is a constant

Step-by-step explanation:

Use the given expression to complete the statements:

5x– 8(3y + 13) – 1

Let's complete the statements, as follows:

In the first term, 5 is a coefficient of x

In the second term, (3y+ 13) is a variable which coefficient is 8

In the third term, -1 is a constant

6 0

4 years ago