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Sliva [168]
2 years ago
6

What is the sum of the roots of the equation 2 x^2 + 5 x − 3 = 0?

Mathematics
1 answer:
Dima020 [189]2 years ago
4 0

Answer:

B) -2.5

Step-by-step explanation:

2x^2 + 5x -3 = 0

(2x - 1)(x + 3) = 0

2x - 1 = 0; 2x = 1, so x = 1/2 = ROOT 1

x + 3 = 0, so x = -3 = ROOT 2

Now add the roots: -3 + 1/2 = - 2 1/2, so the answer is B.

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3^2 - 2x + 4 and g(x) = 5x^2 + 6x - 8 find f-g(x)
sveta [45]

Answer:

For the given functions f(x) and g(x) (f-g)(x) = -2x^{2}  - 8x +12

Step-by-step explanation:

Here, the given function are:

f(x)  = 3x^{2}  - 2x+ 4\\g(x) = 5x^{2}  + 6x -8

Now, simplifying for (f-g)(x)  =  f(x) -  g(x):

f(x) - g(x)  = (3x^{2}  - 2x+ 4) - (5x^{2}  + 6x -8)

 = 3x^{2}  - 2x+ 4- 5x^{2}  - 6x +8

Doing operation on LIKE TERMS,  we get

f(x) -  g(x) = ( 3x^{2}- 5x^{2})   + (-2x - 6x)  +( 4 +8) = -2x^{2}  - 8x + 12

Hence, for the given functions f(x) and g(x) (f-g)(x) = -2x^{2}  - 8x +12

4 0
3 years ago
Solve for z. Please show your work. 8z = 2z + 18
Nataly_w [17]

Answer:

x = 3

Step-by-step explanation:

8z = 2x + 18

6x = 18

x = 3

4 0
3 years ago
Read 2 more answers
The Box-and-Whisker Plot shown displays the number of daily text messages sent to a television channel regarding a political iss
lisabon 2012 [21]
D.99
that is the highest number you are putting on the thing
8 0
2 years ago
Find the vertices and foci of the hyperbola with equation quantity x plus 1 squared divided by 225 minus the quantity of y plus
Lera25 [3.4K]

Answer:

The vertices are (-16,-5) and (14,-5)

The foci are (-26,-5) and (24,-5)

Please, see the attached file.

Thanks.

7 0
3 years ago
Read 2 more answers
Ask Your Teacher Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified
Igoryamba

Answer:

V=15.44

Step-by-step explanation:

We have a formula

V=\int^{π/3}_{-π/3} A(x) dx ,

where A(x) calculate as  cross sectional.

We have:

Inner radius: 5 + sec(x) - 5= sec(x)  

Outer radius: 7 - 5=2, we get

A(x)=π 2²- π· sec²(x)

A(x)=π(4-sec²(x))

Therefore, we calculate the volume V, and we get

V=\int^{π/3}_{-π/3} A(x) dx

V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx

V=[ π(4x-tan(x)]^{π/3}_{-π/3}

V=π·(8π/3-2√3)

V=15.44

We use a site geogebra.org to plot the graph.

5 0
3 years ago
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