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Sedaia [141]
3 years ago
14

Consider this function.

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
7 0

Answer: A) x=\frac{5}{2} and  x=-\frac{2}{3}

Step-by-step explanation:

Make the quadratic function f(x)=6x^2-11x-10 equal to zero:

6x^2-11x-10=0

Having the form ax^2+bx+c=0, the zeros can be calculated with a formula called "Quadratic formula":

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

Then:

Identify a, b and c:

a=6\\b=-11\\c=-10

Finally, substitute them into  the Quadratic formula:

x=\frac{-(-11)\±\sqrt{(-11)^2-4(6)(-10)}}{2(6)}\\\\x=\frac{11\±\sqrt{361}}{12}\\\\x=-\frac{2}{3}\\\\x=\frac{5}{2}

alexgriva [62]3 years ago
3 0

Answer:

2, 3, 5

Step-by-step explanation:

just took it

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Sorry I forgot to take the picture.please solve 16-17
kaheart [24]

Answer:

Can't see the picture because old computer but isn't 16 minus 17 = -1 (negative 1)

Step-by-step explanation:

4 0
3 years ago
A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If th
Dafna11 [192]

Answer:

The probability that exactly 19 of them are strikes is 0.1504

Step-by-step explanation:

The binomial probability parameters given are;

The probability that the pitcher throwing a strike, p = 0.675

The probability that the pitcher throwing a ball. q = 0.325

The binomial probability is given as follows;

p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}

Where:

x = Required probability

Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

The probability that exactly 19 of them are strikes is given as follows;

\binom{29}{19}(0.675)^{19}0.325^{10} = \frac{29!}{19!\times 10!}\times (0.675)^{19}\times 0.325^{10} = 0.1504

Hence the probability that exactly 19 of them are strikes = 0.1504

8 0
3 years ago
The expression 0.00222 x 10^n is greater than 2 (and n is an integer). what is the smallest possible value for n
77julia77 [94]
The smallest value for n is -3
When you move the decimal point to the right, the exponent on the 10 will be negative
move the decimal point to the right 3 times and you get 2.22 x 10^-3
2.22 is greater than two
8 0
3 years ago
What does the A equal to in a + (-7) = 3
Korolek [52]
A = 10

Step by step

3+7=10
10+(-7)=3
7 0
2 years ago
Solve this equation by completing the square: x2 + 4x – 13 = –8
marishachu [46]

Answer:

x = 1 or x = -5

Step-by-step explanation:

We are given;

  • The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

x² + 4x = -8 + 13

we get

x² + 4x  = 5

Step 3: We add the square of half the coefficient of x on both sides of the equation

Coefficient of x = 4

Half of coefficient of x = 2

Square of half the coefficient of x = 2² (4)

We get;

x² + 4x + (2²)  = 5 + (2²)

Step 4: Put x and 2 under one square and the solve the other side of the equation.

We get

(x + 2)² = 5 + 4

(x + 2)² = 9

Step 5: Get the square root on both sides of the equation;

(x + 2)² = 9

√(x + 2)² = ±√9

(x + 2)= ±3

Therefore;

x+2 = + 3 or x + 2 = -3

Thus, x = 1 or -5

The solution of the equation is x = 1 or x = -5

6 0
3 years ago
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