Suppose y varies directly with x. Write a direct variation equation that relates x and y when y = 12 and x = 24.

Use the quadratic f(x)=x²+3x-4 and use any method to solve for the Zeros. Use the same function to solve for x when y is 6. F(x)

Katyanochek1 [597]

Answer:

a) $f(x) = (x+4)\cdot (x-3)$ , b) $x = -5$ or $x = 2$ , c) $x \approx 2.531$ or $x \approx -5.531$

Step-by-step explanation:

a) The function is solved by factorization:

$f(x) = (x+4)\cdot (x-3)$

b) The function has the following form:

$x^{2} + 3\cdot x - 4 = 6$

$x^{2} + 3\cdot x - 10 = 0$

The roots of the polynomial are found by factorization:

$(x+5)\cdot (x-2) = 0$

$x = -5$ or $x = 2$

c) The function has the following form:

$x^{2} + 3\cdot x - 4 = 10$

$x^{2} + 3\cdot x - 14 = 0$

The roots of the polynomial are determined by the General Formula for the Second-Order Polynomial:

$x_{1} = \frac{-3+\sqrt{3^{2}-4\cdot (1)\cdot (-14)}}{2\cdot (1)}$

$x_{1} \approx 2.531$

$x_{2} = \frac{-3-\sqrt{3^{2}-4\cdot (1)\cdot (-14)}}{2\cdot (1)}$

$x_{2} \approx -5.531$

8 0

4 years ago

The number of students in the four sixth-Grade classes at northside school are 26,19,34 and 21 use properties to find the total

lesantik [10]

The three properties of algebra have been used below to find the number of students in the four sixth-Grade classes which is; 100 students

<h3>How to use properties of algebra?</h3>

There are 3 addition properties and they are associative property, identity property, and commutative property.

Commutative property is one that involves the aspect of just changing the order of the addends. Thus:

26 + 19 + 34 + 21 = 21 + 34 + 19 + 26 = 100 students

Identity Property is just adding a 0 to the number that doesn't change anything. Thus: 26 + 19 + 34 + 21 + 0 = 100 students

Associative property is one that involves just changing the grouping of the addends. Thus:

(26 + 19) + (34 + 21) = (26 + 21) + (19 + 34) = 100 students

Read more about Properties of Algebra at; brainly.com/question/855307

#SPJ1

6 0

2 years ago

A machine makes 150 boxes in 15 minutes what is the rate

NemiM [27]

The rate of the machine is 10 boxes per min.

Step-by-step explanation:

Given,

A machine can make 150 boxes in 15 min

To find the rate of the machine

Meaning to find the number of boxes machine it can make in 1 min

We will apply unitary method.

In 15 min it makes 150 boxes

In 1 min it makes (150÷15) boxes = 10 boxes

Hence the rate is 10 boxes per min.

6 0

3 years ago

47 POINTS PLZZ HELP ASAP

Tju [1.3M]

Answer:

c is the answer

Step-by-step explanation:

so we know one equation

y=6x+15

we need to find the other one

24-10=14

14 miles in 2 hours

7 miles in 1 hour

y=7x+10

henry's ballon begins at 10 miles from the town and is 24 miles from the town in 2 hours

Where henry starts is 10 the y-intercept

look at the slopes

Henry: y=7x+10

Tasha: y=6x+15

Tasha starts farther away

Henry goes farther

8 0

3 years ago

Якщо 1 <a<2 i 2<b<4,то:<br>

jolli1 [7]

Answer:

A

Step-by-step explanation:

a/b;

2/1=2;

5/4=1.25

that's why we can write it this way: 1.25 < a/b < 2

means the answer is A

3 0

1 year ago