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Hunter-Best [27]
3 years ago
13

Graph the inequality x < 6 Please someone help now :(

Mathematics
1 answer:
const2013 [10]3 years ago
8 0

Step-by-step explanation: To graph x < 6 on a number line, we start with an open dot at +6. The reason we use an open dot at +6 is that x is less than +6 but it is not equal to +6. Next we drawn an arrow going to the left to show that all numbers less than +6 are solutions to this inequality.

Image is attached below.

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Fit a quadratic function to these three points:<br> (-2,8), (0, -4), and (4, 68)<br> Respuesta
zloy xaker [14]

Answer:

f(x) = 4x^2 + 2x - 4.

Step-by-step explanation:

Let the quadratic function be y = f(x) = ax^2 + bx + c.

For the point (-2, 8)  ( x = -2 when y = 8) we have:

a(-2)^2 + (-2)b + c = 8

4a - 2b + c = 8      For (0, -4) we have:

0 + 0 + c = -4   so c = -4.    For (4, 68) we have:

16a + 4b + c = 68  

So we have 2 systems of equations in a and b ( plugging in c = -4):

4a - 2b - 4 = 8

16a + 4b - 4 = 68

4a - 2b = 12

16a + 4b = 72    Multiplying 4a - 2b = 12 by 2 we get:

8a - 4b = 24  

Adding the last 2 equations:

24a = 96

a = 4

Now plugging a = 4 and c = -4 in the first equation:

4(4) - 2b - 4 = 8

-2b = 8 - 16 + 4 = -4

b = 2.

3 0
3 years ago
A right triangle has legs of 5 ft and 6 ft. What is the length of the hypotenuse? _____ ft.
yarga [219]

Answer:

2.) 7.8

Step-by-step explanation:

We can use Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 6^2 = c^2

25+36 = c^2

61 = c^2

Take the square root of each side

sqrt(61) = sqrt(c^2)

7.810249676 = c

7 0
3 years ago
Read 2 more answers
What is the sum of 2.5 x 10^4 and 3.4 x 10^4
navik [9.2K]

5.9 x 10^4

59000

That is the answer C

3 0
3 years ago
I don’t really get this question so if anyone knows it please help
Mars2501 [29]

Answer:

116.82\:\text{square inches}

Step-by-step explanation:

The window consists of a large square and 4 smaller triangles on the outside. The side length of this square is marked as 10, and therefore the area of this square is 10^2=100\:\mathrm{in^2}.

The area of a triangle is given by \frac{1}{2}\cdot b\cdot h. Since the problem states that the overlapping squares are congruent, both legs of the triangle will be 2.9 and intersect at a 90^{\circ} angle.

Thus, the sum of all four triangles is \frac{1}{2}\cdot 2.9\cdot 2.9\cdot 4=16.82\:\mathrm{in^2}.

Therefore, the area of the window is:

100+16.82=\boxed{116.82\:\mathrm{in^2}}

3 0
3 years ago
Find g(4x)<br> g(x)=x²-4
7nadin3 [17]

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

  • <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>

<h3><u>Answer</u><u>:</u> </h3>

=> g(4x) = 16x² - 4

OR

=> g(4x) = 4{4x² - 1}

3 0
2 years ago
Read 2 more answers
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