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3 years ago

The sum of six and a number multiplied by five is 11.

Mathematics

2 answers:

goldenfox [79]3 years ago

5 0

Step-by-step answer:

6+5n=11

6+5n-6=11-6

5n=5

5n/5=5/5

n=1

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slavikrds [6]3 years ago

4 0

Answer:

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Step-by-step explanation:

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Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$

Let $\left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )$

So, equation is as follows :

$y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0$

4 0

4 years ago

Please help due IN MY CLASS TODAY

valentinak56 [21]

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3 0

3 years ago

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Solve for x someone help please. If possible please include steps

olga55 [171]

Answer:

Step-by-step explanation:

(x + 2) + (-2 + x) = 20

2x + 0 = 20

2x = 20

x = 20/2

x = 10

4 0

3 years ago

Read 2 more answers

How many outcomes are possible when choosing a vowel and choosing a card suit (spades, clubs, hearts or diamonds)?

Vilka [71]

There are six vowels and 4 card suits
Each vowel can pick from 4 suits so 4*6=24
24 outcomes

7 0

3 years ago

Matt cut a circle into 8 equal sections. He drew an angle that measures the same as the total measure of 4 of the sections in th

gulaghasi [49]

Answer:

The angle Matt drew = 180°

Step-by-step explanation:

The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.

Let the equal angles drawn = x

x + x + x + x + x + x + x + x = 360°

8 × x = 360°

8x = 360

x = 45°

∴ each angle drawn = 45°

Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.

Finding the measure of this angle:

1 section in the circle = 45 (<em>shown above</em>)

∴ 4 sections = 45 × 4 = 180°

∴ The angle Matt drew = 180°

5 0

3 years ago