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Mashutka [201]
2 years ago
5

The point (8,1) is on the line. (Remember the line continues in both directions forever.)

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
6 0

the answear us true im preety sure

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Solve the inequality -5(x-7)<15 algebraically for x
babunello [35]

Answer:

x>4

Step-by-step explanation:

trust

3 0
2 years ago
when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0
3 years ago
Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?
klasskru [66]
You are to graph   <span>y = |1.6x – 2| – 3.2.  I trust you know that the graph of y=|x| is v-shaped, opening up, with vertex at (0,0).

Let's rewrite </span><span>y = |1.6x – 2| – 3.2 by factoring 1.6 out of  |1.6x - 2|:

                     </span><span>y = 1.6*|x – 2/1.6| – 3.2

This tells us that the vertex of   </span><span>y = |1.6x – 2| – 3.2   is at (2/1.6,  -3.2).  If you need an explanation of why this is, please ask.

Plot the vertex at (1.25, -3.2).
Find the y-intercept:  Let x = 0 in  </span><span>y = |1.6x – 2| – 3.2 and find y:

                                                      y = 2-3.2 = -1.2

The y-intercept is located at 0, -1.2)

Plot this y-intercept.

Now draw a straight line from the vertex to this y-intercept.  Reflect that line across the y-axis to obtain the other half of the graph.</span>
8 0
2 years ago
Read 2 more answers
The endpoints of EF¯¯¯¯¯¯¯¯ are E(−4,12) and F(3,15). Find the coordinates of the midpoint M..
Ray Of Light [21]

Answer:

(-1/2, 27/2)

Step-by-step explanation:

Midpoint formula: (x^1 +x^2/ 2, y^1 +y^2/ 2)

(-4 +3 /2, 12+15/ 2) -> (-1/2, 27/2)

5 0
2 years ago
gary mixes a solution using two types of concentration of sale: .70 gallons of 5% and .30 gallons of 22% salt. what is the conce
wolverine [178]

Answer:

10.1%

Step-by-step explanation:

The first thing we should do is calculate the total volume of the solution when mixing them would be:

0.7 + 0.3 = 1

Now, we have that the resulting concentration (x) would be equal to the sum of the multiplications between the volumes and the concentrations to be mixed, as follows:

x * 1 = 0.7 * 0.05 + 0.3 * 0.22

x = 0.035 + 0.066

x = 0.101

That is, the concentration of the resulting mixture would be 10.1% (0.101 * 100)

5 0
3 years ago
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