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3 years ago

If the factors of a quadratic function are (x + 2) and (x − 9), what are the x-intercepts of the function?

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Answer: D. (-2,0) and (9,0)

Step-by-step explanation:

When you equate the factors to 0 you get

(X+2) = 0

X = -2

(X-9) = 0

X= 9

Here the Y value is 0 as you find the factors of x when the Y value is 0.

So the answer is (-2,0) and (9,0)

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Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are

Alex787 [66]

Answer:

15 miles per hour is the speed of the slower train.

Step-by-step explanation:

As given in the figure attached,

Let the speed of train 1 is v and train 2 is u.

Therefore, distance traveled in 2 hours by train 1 will be = 2v miles

and distance traveled by train 2 will be = 2u miles

Now we can see in the figure a right angle triangle is formed by the two trains.

AB² + BC² = AC²

(2v)² + (2u)²= (65.30)²

4v² + 4u² = 4264.09

Now we divide this equation by 4

v² + u² = 1066.02

If speed of the slower train is v miles per hour then as per statement of the question.

u = v - 14

v = u + 14

By putting the value of v in the equation

(u + 14)² + u² = 1066

u² + 196 + 28u + u² = 1066

2u² + 28u + 196 = 1066

2u² + 28u + 196 - 1066 = 0

2u² + 28u - 870 = 0

By diving this equation by 2

u² + 14u - 435 = 0

u² + 29u - 15u - 435 = 0

u(u + 29) - 15(u + 29) = 0

(u + 29)(u - 15) = 0

u = -29, 15

Since speed can not be with negative notation so u = 15 miles per hour will be the speed.

Therefore, 15 miles per hour is the speed of the slower train.

5 0

3 years ago

HELP ME PLEASE ASAP IT'S AN EMERGENCY

gizmo_the_mogwai [7]

The answer is b.

This is because the line is sloping downwards, and so y = -1

3 0

3 years ago

The perimeter of a rectangular painting is 324 centimeters. if the width of the painting is 67 centimeters, what is its length?

Nina [5.8K]

I hope this helps you

Perimeter =2 (width +length )

324=2 (67+length )

162-67=length

length =95

6 0

3 years ago

Lasso SelectInsert SpaceEditUnit 1 - Part 1 - Test ReviewWriting and Modeling with Equations1) A store sells ice cream with asso

HACTEHA [7]

(a) The total cost, C, is given by:

$C(t)=3+0.5t$

b) With 3 ounces of toppings, we have

$t=3$ $C(3)=3+0.5(3)=3+1.5=4.5$

Hence Evan's ice cream would cost $4.50

6 0

1 year ago

A recursive rule for a sequence is given. Find the first four terms of the sequence.

tigry1 [53]

Answer:

So...

a0 = -2

a1 = (a0)2 - 4 = 4 - 4 = 0

a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...= 02 - 4 = -4

For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again

a3 = (-4)2 - 4 = 12

The first four terms in the sequence are -2, 0, -4, 12.

Step-by-step explanation:

This recursive sequence is defined as follows:

a0 = -2 [the first term]

an+1 = an2 - 4 [for all other terms, n≥0; note that you cannot find a0 using this line]

Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term. Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0. This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).

To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.

That's why (joke) that the dictionary definition of "recursive" is "see recursive."

4 0

3 years ago