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vladimir2022 [97]
3 years ago
6

Please help,

Mathematics
1 answer:
ra1l [238]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

2x^2 - 2x - 12 = 0

2 is a factor so we write:

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

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

The solutions are  x = -2 and x = 3 which means that the graph of the equation passes through the x-axis at (-2, 0) and (3, 0). The graph is a parabola  opening upwards.  Also the multiplier of 2 produces a vertical transformation (stretching) of the graph of x^2 - x - 6.

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Graph the function f(x) = (x + 1)(x - 5). Use the drop-
hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

3)

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

4)

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

5)

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0
3 years ago
Currently 1 United States dollar equals 19.25 Mexican pesos. If you exchanged 725 Mexican pesos for US dollars, what amount woul
Irina18 [472]

Answer:

The value of 725 Mexican pesos is equals to 37.66 US dollars

Step-by-step explanation:

Given as :

The value of 1 US dollar equals to 19.25   Mexican pesos

The total amount of Mexican pesos = 725

Now,

∵  19.25  Mexican pesos equals to 1 US dollars

∴    725  Mexican pesos equals to  \frac{725}{19.25} = 37.66 US dollars

Hence The value of 725 Mexican pesos is equals to 37.66 US dollars Answer

5 0
3 years ago
In Mrs Phillips math class the ratio of boys to girls is 4 to 2. If there are 51 girls in math class, how many boys are there?
maksim [4K]
So for every two girls, there's four boys. There are twice as many boys than girls, so the number of girls • 2 = your answer.

51 • 2 = 102
7 0
3 years ago
HELPP!! 10 points 1 question . ( explain your answer )
Greeley [361]
50.25% off because 100÷199=50.25
4 0
3 years ago
Read 2 more answers
An adult blinks about 450 times in 30 minutes. A 12-year-old blinks 150 times in 15 minutes.How many more times does an Adult bl
Scilla [17]

Answer:

1.5 times

Step-by-step explanation:

450=30 minutes

450*2=900=60 minutes

150=15 minutes

150*4=600=60 minutes

900/600=1.5 times

5 0
3 years ago
Read 2 more answers
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