All categories

2 years ago

Which statement about y = x2 + 3x - 18 is true?

Mathematics

1 answer:

Anestetic [448]2 years ago

4 0

Answer:

Step-by-step explanation:

first of all, the correct factorization is

y = (x - 3)(x + 6)

because when we do the multiplication

y = x² + 6x - 3x - 18 = x² + 3x - 18

and then, the factorization tends us also directly the zero points, because y is only 0, when one of the factors is 0.

so, either x-3 or x+6 has to be 0 to make the whole expression 0.

and that is only for x=3 or x=-6

You might be interested in

10. A 50-ft ladder leans against a building so that the base of the ladder is 15 feet from the

Hunter-Best [27]

By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°

Recall:

Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.

SOH represents: sin ∅ = Opp/Hyp

CAH represents: cos ∅ = Adj/Hyp

TOA represents: tan ∅ = Opp/Adj

The diagram attached below depicts the problem given.

∅ = x

Opp = 15 ft

Hyp = 50 ft

Thus, applying the trigonometry ratio, SOH, we have:

sin x = 15/50

x = $sin^{-1}(15/50)$

x = 17.5°

In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°

Learn more about trigonometry ratio on:

brainly.com/question/4326804

6 0

2 years ago

Solve the system by using substitution. y = 2x – 10 and - 6x – 2y = -10

Ann [662]

Answer:

(3, -4) or x = 3 and y = -4

Step-by-step explanation:

Hope this helps!

3 0

3 years ago

Read 2 more answers

X+2y=0 3x+4y=4 find the solution

Nady [450]

Answer:

(x, y) = (4, -2)

Step-by-step explanation:

The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.

(3x +4) -2(x +2y) = (4) -2(0)

x = 4 . . . . . . . . . simplify

Substituting into the first equation, we have ...

4 +2y = 0

2 +y = 0 . . . . . . divide by 2

y = -2 . . . . . . . . subtract 2

The solution is (x, y) = (4, -2).

4 0

2 years ago

Select the correct answer.

lesya692 [45]

Answer:

The Answer is A. slope = 1.5 and y-intercept = -2

Step-by-step explanation:

In y=mx+b form b represents your y-intercept and m (or the number next to the x) is your slope

6 0

3 years ago

A ferris Wheel has a radius of 65 feet. What is the circumference of the wheel?

MAXImum [283]

Answer:

63 in.3 that's what I got so I hope it's right

7 0

3 years ago