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3 years ago

Arrange the given polynomial in descending order. 3x+7x +1

Mathematics

1 answer:

Mashutka [201]3 years ago

4 0

Answer:

10x + 1

Step-by-step explanation:

First, combine any like terms. Then make sure to rewrite in descending order.

3x + 7x + 1 <== combine any like terms

10x + 1 <== arrange in descending order

Hope this helps!

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Complete the Square: 5x^2+16x-40=8 (please show your steps)

Sav [38]

Answer:

Step-by-step explanation:

divide through by the coefficient of $x^{2}$

$\frac{5x^{2} }{5}$ + $\frac{16x}{5} + \frac{-40}{5} = \frac{8}{5}$

$x^{2} +\frac{16}{5}x -8 =\frac{8}{5}$

$x^{2} +\frac{16}{5} x = \frac{8}{5} +8$

$x^{2} + \frac{16}{5} x =\frac{48}{5}$

Add half of the square of the coefficient of x to both sides $(\frac{1}{2} X \frac{16}{5} ) ^{2}$

$x^{2} + \frac{16}{5}x + (\frac{1}{2} X \frac{16}{5} )^{2} =$ $\frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}$

$x^{2} +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}$

$(x +\frac{16}{10})^{2} =\frac{304}{25}$

$x +\frac{16}{10} =$ ± $\sqrt{\frac{304}{25} }$

$x = -\frac{16}{10}$ ± $\sqrt{\frac{304}{25} }$

$x=-\frac{16}{10} + \sqrt{\frac{304}{25} }$ or $-\frac{16}{10} - \sqrt{\frac{304}{25} }$

$x = 1.89$ or -5.09

5 0

3 years ago

Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be use

Finger [1]

The independent variable is time and dependent is distance.

3 0

4 years ago

Read 2 more answers

In a different city grade class the radio of boys to girls is 3:2 how many boys in how many girls their B in this class is there

Anna11 [10]

For a fixed total number of boys and girls, there is only one possible answer. The boys to girls ratio is 3:2, which means 3/5 are boys and 2/5 are girls. If the total number of boys and girls is N, then

number of boys = (3/5)N

number of girls = (2/5)N

Obviously, N must be a multiple of 5, since we cannot have "fractional" boys or girls.

7 0

4 years ago

An aircraft takes off and climbs at a constant 30° angle until it reaches an altitude of 6 miles.

Firlakuza [10]

Answer:

10.4 miles

Step-by-step explanation:

Let the horizontal distance is x

Use tangent to solve this:

tan 30° = 6/x
x = 6 / tan 30°
x = 10.4 mi (rounded)

5 0

3 years ago

Solve the problem by graphing 4x-2y=22 6x+9y=-3

butalik [34]

Change these equations into the equations of linear functions.
$\left \{ {{4x-2y=22} \atop {6x+9y=-3}} \right. \\ \\
 \left \{ {{-2y=-4x+22} \atop {9y=-6x-3}} \right. \\ \\
 \left \{ {{y=2x-11} \atop {y=-\frac{2}{3}x-\frac{1}{3}}} \right.$

Draw function graphs and read coordinates of the intersection.
$\left \{ {{x=4} \atop {y=-3}} \right.$

7 0

3 years ago