Consider the quadratic function: f(x) = -(x+4)(x-1)

Which statements are true the order pair (1,2) and the system of equations?<br> y=2x+4<br> 7x-2y=3

Stolb23 [73]

Answer:

The Correct Answers are

When (1 ,2) is substituted into the first equation, the equation is true.

When (1 ,2) is substituted into the second equation, the equation is true.

Step-by-step explanation:

Given:

$y=2x+4$ ..............Equation ( 1 )

$7x-2y=3$ .............Equation ( 2 )

To Show:

order pair ( 1, 2) True for Which Equation

Solution:

The Correct Statements are

When (1 ,2) is substituted into the first equation, the equation is true.

For Equation ( 1 )

Put x = 1 and y =2 in equation 1 we get

$2 = -2\times 1+4$

$2 =2$

∴ Left hand side = Right hand side

Hence True

When (1 ,2) is substituted into the second equation, the equation is true.

For Equation ( 2 )

Put x = 1 and y = 2 in equation 2 we get

$7\times 1-2\times 2 =3$

$3=3$

∴ Left hand side = Right hand side

Hence True

The ordered pair (1 , 2) is a solution to the system of linear equations.

∴ From above Both are True,

Hence True

5 0

3 years ago

Help!! Find the value of f(3)

nekit [7.7K]

Answer:

Step-by-step explanation:

Start with where it tells you the value of x. The value of x is 3. That's given by f(x) = f(3)

Next see which one of the functions you use. x > 0 is given by x^4 - 7. Since 3 is greater than zero you use x^4 - 7

f(3) means that wherever you see an x on the right side, you put a 3.

f(x) = x^4 - 7

f(3) = 3^4 - 7

f(3) = 81 - 7

f(3) = 74

5 0

3 years ago

Sam made 14 out of 20 free throws in the basketball game. What is his percentage

sveta [45]

Answer:

70%

Step-by-step explanation:

14 out of 20 is 14/20=7/10

7/10 is 70%

7 0

3 years ago

Read 2 more answers

Valerie has 10 cds in her music case seven of the cds are pop musoc cds what is this amount written in as a decimal

hjlf

The answer to this is .70

6 0

3 years ago

Read 2 more answers

In a random sample of 535 people 65% said they like cookies with chocolate chips 37% like cookies with peanut butter chips. 25%

Leokris [45]

<h3>The probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.</h3>

Step-by-step explanation:

Here, the total sample of people has total 535 people.

The percentage of people liking chocolate chip cookies = 65%

Now, 65% of 535 = $\frac{65}{100} \times 535 = 347.75 \approx 348$

⇒ 348 people in total like chocolate chip cookies.

⇒ n(C) = 348

The percentage of people liking peanut butter chip cookies = 37%

Now, 37% of 535 = $\frac{37}{100} \times 535 = 197.95 \approx 198$

⇒ 198 people in total like peanut butter chip cookies.

⇒ n(B) = 198

Percentage of people liking both chocolate &peanut butter chips = 25%

Now, 25% of 535 = $\frac{25}{100} \times 535 =133.75 \approx 134$

⇒ 134 people in total like both chocolate &peanut butter chips

⇒ n(C ∩ B ) = 134

Now, n( C U B) = N(C) + n(B) - n(C ∩ B )

= 348 + 198 - 134 = 412

P( person likes cookies with chocolate or peanut butter chips)

= $\frac{\textrm{person likes cookies with chocolate or peanut butter chips}}{\textrm{Total People}} = \frac{412}{535} = 0.77$

Hence, the probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.

6 0

3 years ago