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3 years ago

Find the value of the lesser root of x2 + 12x + 35 = 0.

1 answer:

8 0

In quadratic equations,
a + b = -B
ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
a + b = -12
ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7.

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Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 250 tickets from a previous vi

Nataly_w [17]

Considering the definition of equation, the number of games Meredith need to play is 12.

<h3>What is an equation</h3>

An equation in mathematics is defined as an equality established between two expressions, in which there may be one or more unknown values, called unknowns, in addition to certain known data.

The unknown or unknowns represent the number (or numbers), if any, that make the equality true. This unknown number or numbers represent the solution of the equation. So when changing the unknown or unknowns by the solution, the equality must be true.

<h3>Solution in this case</h3>

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. This is represented by:

y=6x + 250

where:

x represents the number of games Meredith plays.
y represents the number of tickets she needs for the prize.

Meredith needs 322 tickets to exchange for the prize she wants. This is, y=322.

Replacing in the expression y=6x + 250:

322= 6x + 250

Solving taking into account that:

When a value you are adding is passed to another side of the equation, this value will be subtracting.
If a value is multiplying it goes to the other side of the equation by dividing.

322 - 250=6x

72= 6x

72÷6= x

Finally, the number of games Meredith need to play is 12.

Learn more with this problem:

brainly.com/question/15564756

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7 0

2 years ago

A farmers field has the dimensions 2 and 3/4 by 1 and 1/3. He needs to find the area of the field

Afina-wow [57]

Answer:

3 2/3 units²

Step-by-step explanation:

Since the field is rectangular in nature;

Area of the field = Length * Width

Given

Length = 2 3/4

Width = 1 1/3

Area of the field = 2 3/4 * 1 1/3

Area of the field = 11/4 * 4/3

Area of the field = 4/4 * 11/3

Area of the field = 1 * 11/3

Area of the field = 11/3

Area of the field = 3 2/3

Hence the area of the field is 3 2/3 units²

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3 years ago

Caden exercises daily by walking on a treadmill. He sets the machine so that he will walk at a steady rate of 3.6 miles per hour

babunello [35]

Answer:

a) d = 3.6t

b) 10.8 miles

c) 1.2 hours

Step-by-step explanation:

For part a:

Slope of a line: y = mx + b

In this case, the equation would be: d = mt,

where m represents the speed Caden is walking at.

Note: b = 0 in this case because when Caden starts walking on the treadmill, he hasn't really covered any distance yet.

Therefore, plugging in a speed of 3.6 miles per hour, the equation is:

d = 3.6t

For part b:

This is a simple instance of plugging in 3 hours for our t value.

Therefore, d = 3.6 (3)

d = 10.8 miles

For part c:

In this case, we are given that d = 4.32 miles.

Therefore, 4.32 = 3.6t

Dividing both sides by 3.6, we get

t = 1.2 hours

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3 years ago

Please answer questions 1-6 i’ll mark as brainliest<3

Vikki [24]

Yea I’m good too much

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3 years ago

Help pls!Pls and ty!

faltersainse [42]

Answer:

Step-by-step explanation:

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3 years ago