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zvonat [6]
3 years ago
11

Evaluate the Function f(x)= -2x^2-3x+5 for the input value -3

Mathematics
1 answer:
MissTica3 years ago
5 0

Answer:

-4

Step-by-step explanation:

-2(-3)^2-3(-3)+5

-2*9+9+5

-18+9+5

=-4

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Greatest common factor of 117 and 19,110?​
Schach [20]

Answer:

1

Step-by-step explanation:

These numbers have no common factors. The only comon factor they have is one. Therefore, the GCF of 117, 19, and 110 is one.

7 0
3 years ago
Please simplify: 5x + 2 (x - 3) = -2 (x - 1)
zysi [14]

Answer:

x= 8/9

Step-by-step explanation:

Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9

3 0
3 years ago
Let $A = (4,-1)$, $B = (6,2)$, and $C = (-1,2)$. There exists a point $X$ and a constant $k$ such that for any point $P$,
goldfiish [28.3K]

Answer:

k=32

Step-by-step explanation:

Given the points:

A = (4,-1)$, $B = (6,2)$, and $C = (-1,2)$.

The first step is to find the <u>Centroid</u> of the triangle.

Centroid, X

=\left(\dfrac{x_1+x_2+x_3}{3} ,\dfrac{y_1+y_2+y_3}{3} \right)\\=\left(\dfrac{4+6+(-1)}{3} ,\dfrac{-1+2+2}{3} \right)\\=\left(\dfrac{9}{3} ,\dfrac{3}{3} \right)=(3,1)

Next, let P be a point (x,y)

Using the <u>distance formula, </u>\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}<u />

<u />PA^2=(x-4)^2+(y-(-1))^2\\PB^2=(x-6)^2+(y-2)^2\\PC^2=(x-(-1))^2+(y-2)^2\\PX^2=(x-3)^2+(y-1)^2\\<u />

On Substitution into: PA^2 + PB^2 + PC^2 = 3PX^2 + k

(x-4)^2+(y-(-1))^2+(x-6)^2+(y-2)^2+(x-(-1))^2+(y-2)^2=3[(x-3)^2+(y-1)^2]+k

Let us simplify the LHS first

\\LHS: x^2-8x+16+y^2+2y+1+x^2-12x+36+y^2\\-4y+4+x^2+2x+1+y^2-4y+4\\=3x^2-18x+3y^2-6y+62

Also, the Right Hand Side

RHS:3[(x-3)^2+(y-1)^2]+k\\=3[x^2-6x+9+y^2-2y+1]+k\\=3x^2-18x+27+3y^2-6y+3+k\\=3x^2+3y^2-18x-6y+30+k

Therefore:

3x^2-18x+3y^2-6y+62=3x^2+3y^2-18x-6y+30+k\\k=3x^2-18x+3y^2-6y+62-3x^2-3y^2+18x+6y-30\\k=3x^2-3x^2+3y^2-3y^2-18x+18x+62-30\\k=32

7 0
3 years ago
A used motorcycle is priced at 3,438 if u borrow the money for the motorcycle your payment will be 165 per month for 24 months.
tresset_1 [31]
You should save 522 by paying with cash
6 0
4 years ago
Read 2 more answers
Y = -4.5x + 15<br><br> is this not a function, linear function, or nonlinear function
crimeas [40]
This is a linear function
5 0
3 years ago
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