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GREYUIT [131]
2 years ago
12

Expand & simplify (2x+6)(x−9)

Mathematics
1 answer:
Alex777 [14]2 years ago
8 0

Answer:

2x^2-12x-54

Step-by-step explanation:

First 2x times x along with 2x times -9

Second 6 times x  along with 6 times -9

2x^2-18x+6x-54

=2x^2-12x-54

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On the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2
sladkih [1.3K]

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided equation y=3x+2

We need to draw the graph of the equation.

Put x=0 in the above equation.

y=3(0)+2

y=2

The coordinate is (0,2).

Put y=0 in the given equation.

0=3x+2

-2=3x

x=\frac{-2}{3}

The coordinate is (\frac{-2}{3},0).

Now draw the graph by using the above coordinates.

The required graph is shown below.

6 0
3 years ago
An equilateral triangle has a perimeter of 15x +3. what is the length of each side of the triangle?
xxTIMURxx [149]
The length of each side is 5x + 1
3 0
3 years ago
Graph the relation. Is the relation a function? Why or why not? {(–1, 1), (–2, 1), (–2, 2), (0, 2)} Yes; there is only one domai
Luden [163]

{(–1, 1), (–2, 1), (–2, 2), (0, 2)}

In a function, each input has an output

Each domain has a range. In a function, range can be repeated but domain cannot be repeated. Same domain cannot have two range values.

Here domain is {-1, -2, -2, 0}

Range is { 1, 1, 2, 2}

Domain -2 is repeating so this relation is not a function

Answer : No; a domain value has two range values.


7 0
3 years ago
(This question is related to the picture question)
UNO [17]

Answer:

5. f(x) = 10,000 (1.5)^x

Step-by-step explanation:

==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

  • Let's test it

Initial: 10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

--

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

--

Let's try our equation.

f(x) = 10,000 (1.5)^x

x=2

10,000(1.5)^2

10,000(2.25) = 22,500

*Edit: I just seen that the question is related to the picture question

6 0
3 years ago
A surveyor in a canyon takes measurements and draws the diagram shown.
Fiesta28 [93]

Answer:

\approx 118.4

Step-by-step explanation:

We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:

c^2=a^2+b^2-2abcos(C), where a and b are the sides and C is the angle in between.

Let's substitute 115 for a, 178 for b, and 41 for Angle C.

Thus:

c^2=115^2+178^2-2(115)(178)cos(41)

c^2=44909-40940cos(41)

c=\sqrt{44909-40940cos(41)}

c \approx 118. 4

5 0
3 years ago
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