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Aleks [24]
2 years ago
13

Select the correct answer.

Mathematics
1 answer:
mestny [16]2 years ago
3 0

The equation that can be solved using x = \frac{-8 \pm \sqrt{8^2 - 4(3)(-2)}}{2(3)} is C. 3x^2 + 8x − 10 = -8

<h3>How to determine the equation?</h3>

The attached image represents the missing information in the question

From the image, we have:

x = \frac{-8 \pm \sqrt{8^2 - 4(3)(-2)}}{2(3)}

The quadratic formula is:

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

The above means that:

a = 3

b = 8

c = -2

From the list of options, we have:

C. 3x^2 + 8x − 10 = -8

Add 8 to both sides

3x^2 + 8x − 2 = 0

In the above equation, we have:

a = 3

b = 8

c = -2

Hence, the equation that can be solved using x = \frac{-8 \pm \sqrt{8^2 - 4(3)(-2)}}{2(3)} is C. 3x^2 + 8x − 10 = -8

Read more about quadratic equations at:

brainly.com/question/16684726

#SPJ1

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describe the graph of y=x^2 in words so that someone in a different room could understand exactly what it looks like explain wha
vladimir2022 [97]

Answer:

* y = x² is a quadratic function represented graphically by parabola opened upward with minimum vertex  (0 , 0) and y-intercept = 0

* The graph will move vertically up 5 units and its vertex will be

 (0 , 5)

Step-by-step explanation:

∵ y = ax² + bx + c is a quadratic function

  Represented graphically by parabola, its vertex is (-b/2a , f(-b/2a))

∵ The value of a > 0 then the parabola open upward

∴ Its vertex is minimum

∵ The value of a < 0 then the parabola oped downward

∴ Its vertex is maximum

∵ The coefficient of x² = 1

∴ The parabola open upward

∵ The coefficient of x = 0

∴ Its vertex is (0 , 0) ⇒ x = 0/2(1) = 0 , f(0) = (0)² = 0

∴ The y-intercept = 0

∴ The parabola is oped upward , has minimum vertex (0 , 0)

   and passing through the origin

∵ 5 is added to y = x² , that means we add 5 to f(x) ⇒ f(x) + 5

∴ y = x² + 5 ⇒ that means the graph move vertically up 5 units

∴ Its vertex will be (0 , 5)  

5 0
3 years ago
13 = 5 + 3b - 13<br><br> show work explained
IrinaVladis [17]
13 = 5 + 3b - 13\\&#10;3b=21\\&#10;b=7
8 0
3 years ago
The Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century
ira [324]

The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

<h3>What is the Venn diagram?</h3>

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

f = 100 stamps in the collection

A = stamps in the 20th century

B = British stamps

We can make a linear equation to solve for x as the total stamps are 100 in the collection.

\rm x(x-6)+x+2x+32= 100\\\\\rm x^2-6x+x+2x+32 = 100\\\\\rm x^2-3x-68 = 0

After solving x = 9.88, or x = -6.88

Probability can't be negative so neglecting the negative ones

x = 9.88

The probability that it is British:

=\rm \frac{x +2x + 32}{100}  

=\rm \frac{9.88 +2(9.88) + 32}{100}

= 61.64/100

= 0.6164

Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

Learn more about the Venn diagram here:

brainly.com/question/1024798

#SPJ1

7 0
2 years ago
Round 3.691 to the nearest tenth.
Alja [10]
3.691 rounded by the nearest tenth is 3.7
5 0
3 years ago
Read 2 more answers
Andre went hiking near his house.The first trail he hiked on took him 4.5 miles away from his house.The second trail he hiked to
Y_Kistochka [10]
4.5 - 2.4 + 1.7

2.1 + 1.7

= 3.8

- Andre is 3.8 miles away from his house.

7 0
3 years ago
Read 2 more answers
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