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3 years ago

How do I graph f(x)=(x+3)(2x+1)

Mathematics

1 answer:

Soloha48 [4]3 years ago

7 0

Step-by-step explanation:

First, since this is already in factored form, we can find the zeroes of this quadratic, which are -3 and -1/2. (To check, you can try plugging in these 2 values for x, and they indeed equal to zero.)

Now, we want to find the vertex. The x value would be exactly halfway between -3 and -1/2, which is -1.75. Now, we just need to evaluate it, so we can find the y value of the vertex:

(-1.75+3)(2*(-1.75)+1)

=(1.25)(-2.5)

=(-3.125)

Therefore, the vertex is at (-1.75, -3.125).

3 points define a parabola, so we can directly graph it now(graph attached to the answer).

I hope this helped.

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in class of 40 students report that english is their favorite class 40 percent of the students report that keyboard is there fav

olasank [31]

If 40% of students prefer keyboarding, 40/100*40=16 students like it best. If the remaining students prefer English, then 40-16=24 students like English best. Since 24 is more than 16, most students prefer English.

4 0

3 years ago

HELPPPPP PLEASEEEEE!!!

Pepsi [2]

Answer:

The height of right circular cone is h = 15.416 cm

Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: $s=\pi r\sqrt{r^2+h^2}$

where r is radius and h is height.

We are given:

Lateral surface area s = 236.64 cm²

Radius r = 4.75 cm

We need to find height of right circular cone.

Putting values in the formula and finding height:

$s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416$

So, the height of right circular cone is h = 15.416 cm

4 0

3 years ago

Find the exact values of the six trigonometric functions of the angle shown in the figure.

lana66690 [7]

Answer:

3 0

3 years ago

Solve. Check your solution.<br> -4+s= -68

Andrews [41]

-64 + -4 = -68

That is because 64 + 4 = 68 and the negatives in this case are the same way as if it was all positive.

6 0

3 years ago

Read 2 more answers

Please assist me<br><br>NO LINKS!!<br>

Nana76 [90]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

$2x-6+(2x)=180$

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

$2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5$

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

$2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5$

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

4 0

3 years ago