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3 years ago

(0,8) is the ONLY solution to the system of equations:

Mathematics

1 answer:

Alja [10]3 years ago

4 0

Answer:

False, there are infinite solutions

Step-by-step explanation:

Try solving this

3y - 6x = 24

8 + 2x = y

3(8 + 2x) - 6x = 24

24 + 6x - 6x = 24

24 = 24 true

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Two bottles of soft drink can be serve 8 people.How many bottles of soft drink will be be needed to serve 40

riadik2000 [5.3K]

Answer: 10 bottles

Step-by-step explanation: 8 x 5 = 40. 2 x 5 = 10

4 0

3 years ago

The given term is 6n-38,<br> can u find the first four terms in the sequence

Hunter-Best [27]

Answer:

- 32, - 26, - 20, - 14

Step-by-step explanation:

To find the first 4 terms , substitute n = 1, 2, 3, 4 into the rule

a₁ = 6(1) - 38 = 6 - 38 = - 32

a₂ = 6(2) - 38 = 12 - 38 = - 26

a₃ = 6(3) - 38 = 18 - 38 = - 20

a₄ = 6(4) - 38 = 24 - 38 = - 14

3 0

3 years ago

Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

4 years ago

Create a set of coordinates to model a relation that is linear function.

weqwewe [10]

Answer:

Step-by-step explanation:

The following points (coordinates) lie on a straight line with slope 3:

(1, 0), (2, 3), (3, 6), (4, 9) ... and so on

So the linear function is y = 3x + b, where b is the y-intercept.

3 0

3 years ago

The question is below please help me

Cloud [144]

Answer:

103&（#！92（$+#”39214849）？lm

7 0

1 year ago