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frosja888 [35]
3 years ago
14

Find the x-intercepts for the parabola defined by the equation below. y = x2 - 9x + 18

Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0

Answer:

Option D is the correct answer

Step-by-step explanation:

The x intercepts of the parabola are the solutions of the equation. These points can be determined either by graphical method or by solving the quadratic equation with any of the methods of solving a quadratic equation.

In order to use the graphical method, values of x are picked and substituted into the equation to get corresponding values of y. The y values are plotted against the x axis and the parabola (downward) is drawn. The points where it cuts the horizontal axis become the solutions of the equation

y = x^2 - 9x + 18

Solving the equation by using the factorization method,

x^2 - 9x + 18 = 0

x^2 - 6x - 3x + 18 = 0

x(x-6)-3(x-6)

(x-6)(x-3) = 0

x -6 = 0 or x -3 = 0

x = 6 or x = 3

The x-intercepts are (3, 0) and (6, 0)

Flura [38]3 years ago
6 0

Answer:

(3, 0) and (6, 0)

Step-by-step explanation:

Find the x-intercepts for the parabola is equivalent to solve y = x^2 - 9x + 18 = 0. To do that, quadratic formula is used:

x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}

x = \frac{-(-9) \pm \sqrt{(-9)^2 -4(1)(18)}}{2(1)}

x = \frac{9 \pm \sqrt{9}}{2}

x_1 = \frac{9 + 3}{2}

x_1 = 6

x_1 = \frac{9 - 3}{2}

x_2 = 3

Then, the coordinates are (3, 0) and (6, 0)

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Two lengths are in ratio 7:8.if the first length is 273. What amount is the second length
Sergio [31]

Answer:

312

Step-by-step explanation:

Since the ratio is 7:8, mark it as 7x:8x.

Now, they said that the first length is 273. Solve the equation:

7x=273

x=39

Substitute it into 8x. 39*8=312. That's your answer.

PLS MARK BRANILIEST!!!

3 0
3 years ago
Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?
Vanyuwa [196]

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to calculate the distance between (-3, 2) and (5, -4):

d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2}

d = \sqrt{(8)^2 + (-6)^2}

d = \sqrt{64 + 36}

d = \sqrt{100} = 10

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Plug in the values

M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2})

M(\frac{2}{2}, \frac{-2}{2})

M(1, -1)

✅The coordinate ofthe deli is (1, -1)

8 0
3 years ago
A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus p
SashulF [63]

The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.

<h3>What is of volume of rectangular prism?</h3>

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

V=w\times h\times l

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,

V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3

To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

n=8160\times2.5\\n=20400\rm\; btus

Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.



Learn more about the volume of a rectangular prism here;

brainly.com/question/4016105

5 0
2 years ago
If the density of a full can is 1.1g/cc what is it’s mass?
podryga [215]
Density  = mass / volume
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mass = 528 grams Answer
6 0
3 years ago
A bag is filled with 100 marbles that are all the same size and shape each marble has one color the number of marbles in a color
Svetlanka [38]

Answer: 21/100

Step-by-step explanation:

Number of green marbles = 21

Number of blue marbles = 35

Number of red marbles = 18

Number of yellow marbles = 26

Total number of marbles = 100

The probability of choosing a free marble will be:

= Number of green marbles / Tot number of marbles

= 21 / 100

4 0
3 years ago
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