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inysia [295]
2 years ago
7

Consider the function f(x) = 3x2 + 7x + 2. What is the value of the discriminant? –17253173 How many x-intercepts does this func

tion have? 0123 What are the number of zeros for this function? zero real number solutionsone real number solutiontwo real number solutions
Mathematics
2 answers:
nata0808 [166]2 years ago
8 0

Answer:

two real number solutions

Step-by-step explanation:

Given is a quadratic funciton

f(x) = 3x^2 + 7x + 2\\

To find discriminant

b^2-4ac = 49-4(3)(2) = 25

Tosolve for x intercepts:

PUt y =0

Then since discriminant is a perfect square, we have two rational roots.

They are

\frac{-7+/- 5}{6} =\frac{-1}{3} ,-2

No of zeroes = no of x intercepts =2

Hence answer is

two real number solutions

myrzilka [38]2 years ago
7 0
What is the value of the discriminant?
 For this case, the discriminant will be given by
 b ^ 2 - 4 * a * c
 Where
 b = 7
 a = 3
 c = 2
 substituting
 b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25
 Therefore the value of the discriminant is 25.
 How many x-intercepts does this function have?
 It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,
 3x2 + 7x + 2 = 0
 The results will be the interceptions with x.
 What are the number of zeros for this function?
 The number of zeros for this function is
 two real number solutions
 Because it is a quadratic function.
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Ramona's backyard is fenced and represented by parallelogram YARD with measures in meters. She installed a 12-meters fence to se
Alisiya [41]
The fencing line x is the height of a rectangle triangle of base = y, hypothenuse of 9 m, so we use Pythagoras theorem to solve:

hyp^2 = height^2 + base^2
9^2 = x^2 + y^2
x^2 = 81 - y^2


we can see that x is also the height of another rectangle triangle of base = 15 - y, hypothenuse of 12 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
12^2 = x^2 + (15 - y)^2

lets expand:
144 = x^2 + 225 - 30y + y^2

substitute x^2 from the first equation in the last:
144 = 81 - y^2 + 225 - 30y + y^2
144 = 81 + 225 - 30y
30y = -144 + 81 + 225
y = 5.4 m

substitute in the fence equation:
x^2 = 81 - y^2
x^2 = 81 - 5.4^2
x = 7.2 m that is the length of the fence



3 0
2 years ago
Write the phrase as a rate in simplest form. 320miles on 34gallons
Katena32 [7]

Answer:

160/17 miles per gallon

Step-by-step explanation:

The typical rate of distance and gallons is distance per gallons, so divide the distance by the number of gallons.

(320 miles)/(34 gallons) = 160/17 miles per gallon

7 0
2 years ago
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Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cu
melisa1 [442]

Answer: 96 teaspoons

Step-by-step explanation:

If 1 cup contains 16 tablespoons the 2 cups will contain;

= 16 * 2

= 32 tablespoons

If 1 tablespoon contains 3 teaspoons then 32 tablespoons will contain;

= 32 * 3

= 96 teaspoons

4 0
2 years ago
The graph shows the relationship between the number of minutes Maria spent jogging on a treadmill and the distance she jogged.
alina1380 [7]

Answer:

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Step-by-step explanation:

The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:

  (4.5 mi)/(45 min) = 0.1 mi/min

4 0
2 years ago
Factor the polynomial expression 15x^2 - 2x - 8
AVprozaik [17]

Answer:

(3 x + 2) (5 x - 4)

Step-by-step explanation:

Factor the following:

15 x^2 - 2 x - 8

Factor the quadratic 15 x^2 - 2 x - 8. The coefficient of x^2 is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12. So 15 x^2 - 2 x - 8 = 15 x^2 - 12 x + 10 x - 8 = 5 x (3 x + 2) - 4 (3 x + 2):

5 x (3 x + 2) - 4 (3 x + 2)

Factor 3 x + 2 from 5 x (3 x + 2) - 4 (3 x + 2):

Answer: (3 x + 2) (5 x - 4)

4 0
2 years ago
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