I have no idea how to do this stuff.

Answers

Answer 1

Answer:

Answer: $y=2x^(2)-5x+7$

Step-by-step explanation:

The quadratic equation in its standard form is:

$y=ax^(2)+bx+c$

Now, we are given 5 points of the parabola (if you graph a quadratic equation you will have a parabola), however we only need to choose three points to find the coeficients $a$ , $b$ and $c$ in the quadratic equation.

So, let's choose the first three points:

(-1,14):

$14=a(-1)^(2)+b(-1)+c$

$14=a-b+c$ (1)

(0,7):

$7=a(0)^(2)+b(0)+c$

$7=c$ (2)

(1,4):

$y=2x^(2)-5x+7$

$4=a(1)^(2)+b(1)+c$

$4=a+b+c$ (3)

Substituting (2) in (1) and (3):

$14=a-b+7$ (4)

$4=a+b+7$ (5)

At this point we have a system with two equations.

Adding (4) to (5):

$18=2a+14$ (6)

Isolating $a$ :

$a=2$ (7)

Substituitng (7) in (3):

$4=2+b+7$ (8)

Isolating $b$ :

$b=-5$ (9)

Now we have the three coeficients and we can write the quadratic equation:

$y=2x^(2)-5x+7$

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1) -4.2 = y - 1.8i don’t know the answer need help

How many thousands are in 440,000

Answers

440 is the amount of thousands in this number; (440)(1,000)=440,000

So he's saying 3 of them because here is the expanded form of half of it 400,000 +40,000 and the 0 there makes it just thousand but you can call it what you want

22 less than the quotient of an unknown number and 35 is -25.What is the value of the unknown number?

Answers

-22+(x/35)=-25
add 22 to both sides
x/35=-3
multiply both sides by 35 to cleaf raction
x=-105

number was -105

Which ordered pairs in the form (x, y) are solutions to the equation 4x – 5y = 24?

Choose all answers that are correct.

A. (-9,-12)

B. (1,-4)

C. (4,8)

D. (6,0)

Answers

The ordered pairs are (-9,-12) and (6,0) satisfying the equation 4x – 5y = 24. The correct option is A and D.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 4x – 5y = 24. We will check the points as:-

4x – 5y = 24

Use:- (-9,-12)

( 4 x -9 ) - ( 5 x 12) = 24

-36 - 60 = 24

24 = 24

4x – 5y = 24

Use:- (6,0)

( 4 x 6 ) - 0 = 24

24 = 24

Therefore, the ordered pairs are (-9,-12) and (6,0) satisfying the equation 4x – 5y = 24. The correct option is A and D.

To know more about an expression follow

brainly.com/question/2701113

#SPJ2

Plug the values into the equation and check if it's true.

$(x,y)=(-9,-12) \n4 * (-9) -5 * (-12) \stackrel{?}{=} 24 \n-36+60 \stackrel{?}{=} 24 \n24 \stackrel{?}{=} 24 \n24 = 24 \na \ solution \n \n(x,y)=(1,-4) \n4 * 1 - 5 * (-4) \stackrel{?}{=} 24 \n4+20 \stackrel{?}{=} 24 \n24 \stackrel{?}{=} 24 \n24=24 \na \ solution$

$(x,y)=(4,8) \n4 * 4 - 5 * 8 \stackrel{?}{=} 24 \n16-40 \stackrel{?}{=} 24 \n-24 \stackrel{?}{=} 24 \n-24 \not= 24 \nnot \ a \ solution \n \n(x,y)=(6,0) \n4 * 6- 5 * 0 \stackrel{?}{=} 24 \n24 -0 \stackrel{?}{=} 24 \n24 \stackrel{?}{=} 24 \n24=24 \na \ solution$

The answers are A, B and D.

What would be the answer to " round 6.125 to the nearest tenth"?

Answers

The answer would be 6.1

4b×3b-2b=102 what is b

Answers

4b×3b-2b=102
12b^2 - 2b = 102
12b^2 - 2b - 102 = 0
divide by 2
6b^2 - b - 51
(6b + 17)(b - 3) = 0
6b + 17 = 0
6b = -17
b = -17/6 or 2 5/6
b - 3 = 0
b = 3

$4b\cdot3b-2b=102\n 12b^2-2b-102=0\n 6b^2-b-51=0\n 6b^2+17b-18b-51=0\n b(6b+17)-3(6b+17)=0\n (b-3)(6b+17)=0\n\ b=3 \vee b=-(17)/(6)$

a display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width if the artifact. write & expression for the volume of the case.

Answers

(w3)x l x h should be the answer