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Monica [59]
3 years ago
9

4(x+8)-2(x-7)=46 x=?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

Answer:

x = 0/2

x = 0

Step-by-step explanation:

4(x+8)-2(x-7) = 46

Expanding the brackets

4x +32 - 2x +14 = 46

2x + 46 = 46

2x = 46-46

2x = 0

x = 0/2

x = 0

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The function y=h(x) is defined as follows:
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Answer:

h(1) = 1

h(4) = 5

Step-by-step explanation:

Since 1 is in the interval 1 ≤ x ≤ 3, you must substitute 1 into the expression  x^{3}

So, h(1) = 1^{3} = 1

Since 4 is in the interval x > 3, and all values of x > 3 gives an output of 5, then h(4) = 5

7 0
3 years ago
Initially, there were equal amount of roses and tulips at a store. Each bouquet was made with 3 roses and 4 tulips. After the bo
egoroff_w [7]

Answer:

12 bouquets

Step-by-step explanation:

Let there be x number of roses and x number of tulips initially at the store.  Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.

If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.

After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:

x - 3y = 30                               Equation 1

x  - 4y = 18                                Equation 2

Subtracting Equation 2 from Equation 1, we get:

x - 3y - (x - 4y) = 30 - 18

x - 3y - x + 4y = 12

y = 12

Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store.

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3 years ago
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Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo
Likurg_2 [28]

Answer:

The given equation is

25x^{2} +4y^{2}=100

Which represents an elipse.

To find its elements, we need to divide the equation by 100

\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1

Where a^{2} =25 and b^{2}=4. Remember that the greatest denominator is a, and the least is b. So, we extract the square root on each equation.

a=5 and b=2.

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is 2a=2(5)=10.

The length of the minor axis is 2b=2(2)=4.

The vertices are (0,5);(0,-5) and (2,0);(-2,0).

Now, the main parameters of an elipse are related by

a^{2}=b^{2} +c^{2}, which we are gonna use to find c, the parameter of the focus.

c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}

So, the coordinates of each focus are (0,\sqrt{21}) and (0,-\sqrt{21})

The eccentricity of a elipse is defined

e=\frac{c}{a}=\frac{\sqrt{21} }{5}  \approx 0.92

The latus rectum is defined

L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6

Finally, the graph of the elipse is attached.

7 0
3 years ago
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