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natka813 [3]
3 years ago
11

Write a quadratic function in standard form with zeros 5 and 6

Mathematics
1 answer:
N76 [4]3 years ago
6 0

Answer:

{x}^{2}  - 11x +30

Step-by-step explanation:

Zeros = 5 & 6

Let the variable of the quadratic function be x

Therefore, (x - 5) & (x-6) are factors

(x - 5)(x - 6) \\  \\  =  {x}^{2}  - (5 + 6)x + ( - 5)( - 6) \\  \\ =  {x}^{2}  - 11x +30 \\ is \: the \: required \: quadratic \: \\function.

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If jonny has 3 × 6 amounts of dish soap, how much dish soap does he have?!
Agata [3.3K]

Answer: 18 (b)

Step-by-step explanation:

3x6=18

3 0
3 years ago
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2.3 The diameter of a circle is 8 m long. Calculate its: radius
slavikrds [6]

Answer:

4

Step-by-step explanation:

Diameter is equal to 2r

so,

8÷2=4

4 0
3 years ago
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Which equation is a point slope form equation for line AB ?
Eduardwww [97]

Answer:

Answer choice D:

y - 6 = 2(x - 5)

Step-by-step explanation:

This question is basically asking you to find the point-slope form equation for a line going through the points (3, 2) and (5, 6).

As you can tell by the name, point-slope form needs both a point that the line goes through and the slope of the line.

You can find the slope of the line by using the slope formula since you have two points that the line goes through.

Slope formula: m=\frac{y_2-y_1}{x_2-x_1}

Substitute in the points A and B into the formula.

m=\frac{6-2}{5-3} \rightarrow\frac{4}{2} \rightarrow 2

The slope of this line is 2.

Now since we have the slope and a point of the line, we can plug this into the point-slope form equation, which is y - y1 = m(x - x1).

We will be using one of the points (I will be using point A) to substitute the coordinates into y1 and x1, and using the slope to substitute into m.

Substitute point A's coordinates and the slope of the line into the point-slope form equation.

y - (2) = 2(x - (3))

I always put parentheses around the numbers I substitute into an equation to see exactly what is being plugged in, but now you can remove them to find your answer.

y - 2 = 2(x - 3)

Now, since none of the answer choices do not fit with the answer we have found, we can use the other point coordinate-- point B.

Substitute point B and the slope 2 into the equation.

y - (6) = 2(x - (5))

Remove the parentheses.

y - 6 = 2(x - 5)

There is an answer choice for this answer we have found, answer choice D.

By the way, both of the equations we found: y - 2 = 2(x - 3) and y - 6 = 2(x - 5) will yield the same answer in the end so don't worry if one of the points don't work if you have a multiple choice like this question.

7 0
3 years ago
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Amanda is having new tile installed in her kitchen. TileAll charges a flat fee of $378.00 plus $15.00 per tile. Kitchen Plus cha
myrzilka [38]

Answer:

C = 495 + 13.05x

60 tiles.

Step-by-step explanation:

$15.00 per tile plus a flat fee of $378.00 that charges Tile All.

Therefore, for x number of tiles, the total cost of installation will be  

C = 378 + 15x ........... (1)

Again, $14.50 per tiles plus a flat fee of $550.00 that charges Kitchen Plus. Amanda has at Kitchen Plus, a 10% discount coupon.

Therefore, for x tiles installation the charges will be  

C = (550 + 14.5x)(1 - \frac{10}{100}) = 495 + 13.05x .......... (2) (Answer)

Now, if for x number of tiles both the company charges the same, then  

378 + 15x = 495 + 13.05x (From equations (1) and (2)}

⇒ 1.95x = 117

⇒ x = 60 tiles. (Answer)

3 0
3 years ago
65 = 5 + 3/4c solve for c help pls​
kozerog [31]

Answer:

c=80

Step-by-step explanation:

6 0
3 years ago
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