Evaluate f(-7). f(x) = 3x2
a.-441
b.-147
c.78
d.147

Answers

Answer 1
Answer: the answer is option d. 147

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X2 - x - 6 =Simplified. I know the answer is (x+2)(x-3), but I don't understand how the answer was achieved. Can I please get an explanation of this?

Answers

x^2-x-6=(x+2)(x-3)\n\n-x=2x-3x\n-6=2*(-3)\n\nor\n\nx^2-x-6=x^2+2x-3x-6=x(x+2)-3(x+2)=(x+2)(x-3)
I had a lot of trouble with this when my algebra class started doing it,
a long time ago.

The key is this:  Look at the -6 at the end.  You have to find two factors
of that number that add up to the -1 in the middle.

Here are the possible factors of -6 :

-1 ... 6
+1 ... -6
-2 ... 3
+2 ... -3

Can you find a pair on the list that adds up to -1 ? 
How about +2 and -3 ?
Their product is -6 and their sum is -1.  That's what you need.

Now set up a couple of binomial factors like this:  (x....) (x....)
and write in the pair of numbers you found:  (x + 2) (x - 3)
That's the factored form of the original expression.


Factorise fully : 4x^3 +24x^2

Please can someone help me TwT

Answers

9514 1404 393

Answer:

  4x²(x +6)

Step-by-step explanation:

The smallest coefficient, 4, is a factor of the largest, so that will be a common factor. All terms contain x to some power, the least of which is 2, so x² will be a common factor. Factoring those common factors out, we have ...

  = 4x²(x +6)

The factor x+6 cannot be factored further, so this is the full factorization.

A can of spaghetti has a diameter of 12 cm and a height of 16 cm. The can contains spherical meatballs, each with a radius of 3 cm, that take up 25% of the volume.How many meatballs are in the can?

Use 3.14 to approximate pi and express your answer as a whole number.

Answers

Hey there, the radius of the can is 1/2 of 12 cm=6 cm, the volume of the can is pi r^2h=Pi 6^{2}16=1809.5573cm3, Now, the volume of the meatball is 4/3 pi r^{3}=4/3 pi 3^{3}=113.09734, Then, 25% of the can=1809.5573/4=452.389325, The meatballs in area=25% of can over volume of meatballs=452.389325/113.09734=4 meatballs, Therefore, the answer is 4 meatballs.

Holly, the author, has written 160 pages of her next book. She needs to write a minimum of 20 pages per day to complete the expected 380 page book. Which inequality below expresses this situation?

Answers

Answer:

days  ≤ 6

Step-by-step explanation:

she gas 160 pages out of the 380 pages, so she needs to write other:

380 - 160 = 120 pages.

If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:

20*d = 120

d = 120/20 = 6

so d is the number of days, and we have that:

d ≤ 6.

The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.

How do you solve Log-m+2=4

Answers

log-m+2=4
--log+2
m=log-2

Kristin drew a triangle with 2 congruent sides and 1 obtuse angle. Which term accurately describes the triangle? Mark all that apply. A. Isosceles B. Scalene C. Acute D. Obtuse

Answers

The terms accurately describes the triangle which Kristin drew with 2 congruent sides and 1 obtuse angle are obtuse and isosceles triangle.

What are types of triangle?

A triangle is the closed polygon, which has three sides and three angles.

On the basis of angles of a triangle, the triangle can be divided into 3 types as,

  • Acute triangle-Acute triangle is the triangle, in which the all the three interior angle of the triangle measure less than 90 degree. If the sum of the square of the two littler sides is greater than the square of the third side, then it is an acute triangle.
  • Obtuse triangle-Obtuse triangle is the triangle, in which one of the interior angle of the triangle measure more than the 90 degree. . If the sum of the square of the two smaller sides is less than the square of the third side, then it is an obtuse triangle.
  • Right triangle-Right triangle is the triangle, in which one of the interior angle of the triangle measure equal to the 90 degree. If the sum of the square of the two smaller sides is equal to the square of the third side, then it is a right triangle.

Kristin drew a triangle with 2 congruent sides. This two equal sides make the triangle Isosceles.

Her triangle has 1 obtuse angle. This makes his triangle Obtuse. Thus, she drew an obtuse Isosceles triangle.

Thus, the terms accurately describes the triangle which Kristin drew with 2 congruent sides and 1 obtuse angle are obtuse and isosceles triangle.

Learn more about the type of triangle here;

brainly.com/question/17264112

I believe it is obtuse and isosceles.