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Tanzania [10]
3 years ago
15

Find the discriminant and the number of real roots for this equation 4x^2+16x+16=0

Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer:

2 real roots: x = -2 multiplicity 2.

Step-by-step explanation:

The discriminant = b^2 - 4ac

= 16^2 - 4*4*16

= 0

This means there are duplicate roots, 2 roots having the same value.

4x^2+16x+16=0

(2x + 4)(2x + 4) = 0

x = -2 , -2.

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The graph of h(x) is a translation of f(x)=3 √x
Gnoma [55]

Answer:

h(x)=\sqrt[3]{x+2}

Step-by-step explanation:

we have

f(x)=\sqrt[3]{x}

The inflection point of f(x) is the point (0,0)

The inflection point of h(x) is the point (-2,0) -----> see the given graph

so

the rule of the translation of f(x) to h(x) is

(x,y)------> (x-2,y)

That means------> The translation is 2 units to the left

therefore

The equation of h(x) is equal to

h(x)=\sqrt[3]{x+2}

5 0
4 years ago
Read 2 more answers
MATH ONE QUESTION!!!!!!!!!!!!
yulyashka [42]
19x - 11 = 10x + 7
         9x = 18
           x = 2

19x - 11 = 19(2) - 11 = 27

3y + 27 = 180
3y = 153
  y = 51

answer
x = 2 and y = 51
5 0
3 years ago
50 POINTS!!! I WILL GIVE BRAINLIEST!!!!!
dedylja [7]

The equation would be worded as: 2m+16=36.


Solve! Using the subtraction property of equality, 2m=20. Then the division property of equality lets us figure out that m=10.

3 0
4 years ago
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7x-6=-90 <br> Plz Show work!
gavmur [86]

Answer:

x= -12

Step-by-step explanation:

Move the constant to the right

7x-6=-90

Calculate

7x=-90+6

Divide both sides by 7

7x=-84

Solution

x=-12

6 0
3 years ago
Read 2 more answers
Tell whether the angles are adjacent or vertical. Then find the value of x.<br><br>(Only 4-6)
eduard

Alright, lets get started.

If two angles have common side and they shares common vertex, they are called adjacent angles.

When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.

Question 4:

Two angles shown in diagram are adjacent as they are on common side.

Both the angles are on a straight line, hence

x + 109 = 180

Subtracting 109 from both sides

x + 109 - 109 = 180 - 109

x = 71° : Answer


Question 5:

Both angles shown in diagram are opposite to each other, hence vertical angles.

As they are opposite to each other, they both are equal.

x+42= 2x + 1

Subtracting x from both sides

x + 42 - x = 2x + 1 - x

42 = x + 1

Subtracting 1 from both sides

42 - 1 = x + 1 - 1

x = 41° : Answer


Question 6:

Both angles are having a common side means they are adjacent angles.

As they are on straight line, both angles will add up to 180 °.

x+96 + 5x = 180

6 x + 96 = 180

Subtracting 96 from both sides

6x + 96 - 96 = 180 - 96

6x= 84

Dividing from 6 in both sides

\frac{6x}{6} =\frac{84}{6}

x = 14° : Answer

Hope it will help :)

8 0
3 years ago
Read 2 more answers
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