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3 years ago

The graph of the function f(x) = x3 – 2x2 – 19x + 20 intersects the x-axis at the points (–4, 0), (1, 0), and (5, 0) as shown.

Mathematics

2 answers:

Alona [7]3 years ago

7 0

-4, 5, and 1

......................

Oksana_A [137]3 years ago

3 0

Answer: A) x = –4, x = 1, and x = 5

the verified answer actually didn't answer the question so

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An arithmetic sequence begins as follows: a1=13 a2=19 Which of the following gives the definition of its nth term?

Otrada [13]

Answer:

the nth term of the sequence is $a_n=6n+7$

Step-by-step explanation:

Given : An arithmetic sequence begins as follows: $a_1=13, a_2=19$

To find : Which of the following gives the definition of its nth term?

Solution :

The nth term of the A.P is $a_n=a+(n-1)d$

The first term is $a=a_1=13$

The common difference is $d=a_2-a_1$

$d=19-13=6$

Substitute in the formula,

$a_n=13+(n-1)6$

$a_n=13+6n-6$

$a_n=6n+7$

Therefore, the nth term of the sequence is $a_n=6n+7$

5 0

3 years ago

Someone please help I’m having trouble

bezimeni [28]

It’s A). x=20 y=128.
do you need the work?

3 0

3 years ago

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fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

Area of square 1: 81 square inches

$s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9$

Perimeter of square 2: 48 inches

$4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches$

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

$(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15$

Hence,

The length of side of largest square is 15 inches

5 0

2 years ago

Please help me I’m trying to pass this

melamori03 [73]

Answer:

I think the answer is D

Step-by-step explanation:

SOHCAHTOA

sin- Opposite and hypotenuses

Cos- Adjacent and Hypothesis

Tan- Opposite and adjacent

DE is opposite and DF is hypotenuses

7 0

3 years ago

What is the sum of the roots of the quadratic equation x²+6x-14=0?

aivan3 [116]

Answer:

<h3>Sum of Roots = (-8) </h3><h3>Product of Roots = (-84) </h3>

Step-by-step explanation:

${x}^{2} + 6x - 14 = 0$

Roots :- 6 and -14

Sum of the roots :

[6 + (-14)]

= (-8)//

Product of the roots :

[(6)(-14)]

= (-84)//

8 0

2 years ago