The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?

y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)

Answer:

your answer to this question is C.

Answer:

(x - 1)^2

Step-by-step explanation:

using middle term break method

x^2 - 2x + 1

here, we need to numbers which gives 1 when multiplied and 2 when add .

=x^2 - (1 + 1)x + 1

=x^2 - x - x + 1

=x(x - 1) -1(x - 1)

=(x -1)(x - 1)

=(x - 1)^2

Step-by-step explanation:

by middle term factorisation method

x^2 -2x + 1

= x^2 -( 1+1)x + 1

= x^2 -x -x + 1

= x(x-1) -1( x -1)

= (x-1)(x-1)

OR

we know above polynomial ( quadratic ) equation is in form

(a - b )^2 = a^2 -2ab + b^2

so it's factories form is

( a- b)( a- b)

Answer:

(1,0) (0,-3)

Step-by-step explanation:

x then y a baby crawls before it walks.

Step-by-step explanation:

Y=x

Y=x+2

Plot graph but not up to scale just for u to understand

Answer:

38.5 years old

Step-by-step explanation:

Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.

(Mrs.Kelly's age) + (Brother) = (62)

Substitute,

(k) + (k - 15) = 62

Simplify,

k + k - 15 = 62

2k - 15 = 62

Inverse operations,

2k - 15 = 62

2k = 77

k = 38.5

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]

Step-by-step explanation:

i'm going to assume what you have looks like

[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]

Let's start by factoring everything

x²-9= (x+3)(x-3)

x²-16= (x+4)(x-4)

x²+5x+6=(x+3)(x+2)

x-4= x-4

which means what we have looks like

[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]

And I think that's as simplified as it can get

Answer:

x ≈ 7.7

Step-by-step explanation:

Using the sine ratio in the right triangle

sin69° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{7.2}{x}[/tex] ( multiply both sides by x )

x × sin69° = 7.2 ( divide both sides by sin69° )

x = [tex]\frac{7.2}{sin69}[/tex] ≈ 7.7 ( to the nearest tenth )

Answer:

Equation = y=3x+12

Slope is 3

Step-by-step explanation:

Answer:-2

Step-by-step explanation:

Answer:

(D) $1 050

Step-by-step explanation:

Simple interest = 7000 × 3 × 5/100 =

70 x 15 = 1 050

Answer:

i hatee maths thank u

Step-by-step explanation:

Answer:

It's definitely not the first one or the second one, not sure about the third one but the last one is equivalent to it.

3/4 x . 8 = 6

2-1=1

Step-by-step explanation:

[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]

as a whole number = 5

Answer:

I'd say 897.27cm². That's the vlosest answer that I see.

======================================================

Explanation:

If you have exactly one right angle, then it is possible to have no parallel lines.   See the diagram below. Refer to the upper figure.

If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.

If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.

It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.

Answer:

y = 2x + 14

Step-by-step explanation:

Hope this helps!!!

First, you have to find the slope by using

In other words,

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

Remember that m is the slope.

Distribute the slope to the parenthesis

Isolate the y variable

Answer:

2x+14

Step-by-step explanation:

Answer:

10:05

Step-by-step explanation:

10:05

7:40+2 hours =9:40+25=10:05

Step-by-step explanation:

the second is ur answer

x|y

1|2

2|4

3|8

4|16

Answer:

The answer is the last one....

Step-by-step explanation:

Sorry for possible a vague answer, but you can divide out all the answers and you will see that only the last one proves the point...

if you do these problems in a class you are taught for sum/diff of cubes

the pattern ( a b) (a^ ab b^2) ...notice that there are no signs between the variables... the next teaching point is that the signs use this pattern...

"SAME" , "OPPOSIT", "ALWAYS A PLUS"... that is not me look that up in an algebra book.. same opposite, always a plus... I think some people call is "SOAP" same, opposite  Always plus (that works) ....

bottom line here is that you answer needs cubes under the division, and the

end part has to have a "+" , given that after multiplying by "-b" you have to end up with a "-B^3" only a "+b^2" will do , that is consistent with the fourth answer

Answer:

5

Step-by-step explanation:

Answer:

The cost of the car is $ RS 308,000.

Step-by-step explanation:

Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:

100 - 12 = 88

88/100 = 0.88

350,000 x 0.88 = X

308,000 = X

Therefore, the cost of the car is $ RS 308,000.

[tex] \boxed{ \huge\boxed{ \mathcal{A}\mathfrak {nswer...}}}[/tex]

The equation of a circle is represented as :

[tex] \large\boxed{(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} }[/tex]

where,

So, from above equation we get:

Therefore, Radius of the given circle measures 6 units.

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

9,315 km

Step-by-step explanation:

Recall that distance = rate times time.

The distance flown at 950 km/h is (950)(5) km = 4,740 km

and:

The distance flown at 830 km/h is (830)(5.5) km = 4,565 km

Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km

Answer:

-8/3

Step-by-step explanation:

(5+1)2 - (12+32) /3

(6)(2) - (44)/3

12 - 44/3

-8/3

Answer:

7/10 > 17/25

Step-by-step explanation:

17/25  and 7/10

The common denominator is 50

17/25 *2/2 =34/50

7/10 *5/5 = 35/50

35 > 34 so

35/50 > 34/50

7/10 > 17/25

Answer:

-32..............

......

Answer:

-32.

Step-by-step explanation:

This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.

Answer:

4 – 5x = 59, x = -11

Step-by-step explanation:

The given equations is :

4 – 5x = 59

Subtracting 4 both sides,

4 – 5x -4 = 59-4

-5x = 55

Dividing both sides by -5.

x = -11

So, the answer of the given equation is -11.

Answer:

(6, 2)

Step-by-step explanation:

xD' = (0-0) + (3×2) = 0+6 = 6

yD' = (2-0) + (3×0) = 2+0 = 2

the dilated coordinate D' (6, 2)

Answer:

6 and 2 pls answer my questions plss