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3 years ago

A polynomial p has zeros when x = 1/5, x = -4, and x = 2. What could be the equation of p?

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

6 0

Answer:

-3

Step-by-step explanation:

and

= -3

What could be the equation of p?

Choose 1 answer:

p(x) = 2(6x + 1)(x+3)

p(x) = 2(6x – ) (2 – 3)

ollegr [7]3 years ago

6 0

Answer:

p(x) = (5x - 1) (x + 4) (x - 2)

Step-by-step explanation:

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One quart of water-resistant paint covers 75 square feet. A swimming pool is in the shape of a rectangular prism with a length o

docker41 [41]

18.66 quarts of paint is needed to paint the swimming pool with two coats of paint

<em><u>Solution:</u></em>

Given that,

<em><u>A swimming pool is in the shape of a rectangular prism</u></em>

Length = 20 feet

Width = 10 feet

Height = 5 feet

<em><u>Find the surface area of prism</u></em>

$A=2(wl+hl+hw)$

Where, "l" is the length and "w" is the width and "h" is the height

$A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700$

Thus surface area area of prism is 700 square feet

Given that,

One quart of water-resistant paint covers 75 square feet

Therefore,

1 quart paint = 75 square feet

x quart = 700 square feet

This forms a proportion

$1 \times 700 = 75 \times x\\\\x = \frac{700}{75}\\\\x = 9.33$

Thus 9.33 quarts of paint is needed to cover 700 square feet

How many quarts should you buy to paint the swimming pool with two coats of paint

For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint

4 0

3 years ago

How many solutions does the nonlinear system of equations graphed below have?

Ostrovityanka [42]

Answer:

Option (A)

Step-by-step explanation:

Solution of two functions represented by the graph are the common points or point of intersection of the graphs.

From the graph attached,

Parabola and ellipse are intersecting each other at four points.

Therefore, solutions of the given non linear functions will be FOUR.

Option (A) will be the correct option.

4 0

3 years ago

Andrea enjoys running. She keeps a daily journal to record how far she runs. She wears a pedometer to calculate the exact distan

Lana71 [14]

Again this is a simple addition problem I think.

Add 3.6+4.705+5.92=

14.225 kilometers that Andrea ran over the three days.

Hope this helps, have a good day. c;

5 0

3 years ago

Read 2 more answers

The parent function f(x)=x^2 is translated such that the function g(x)=-x^2+6x-5 represented the new function. What is true abou

Alla [95]

<h3>Answer:</h3>

g(x) has an axis of symmetry at x = 3
g(x) is shifted right 3 units from the graph of f(x)
g(x) is shifted up 4 units from the graph of f(x)

<h3>Step-by-step explanation:</h3>

The vertex form of g(x) is ...

... g(x) = -(x -3)² +4

This is offset to the right by 3 and up by 4 from the parent function. (It is also first reflected across the x-axis.)

_____

<em>Vertex form</em>

You know the leading coefficient is -1 because that's what it is for x² in the given form. When you factor -1 from the first two terms, of the given form, you have ...

... g(x) = -1(x² -6x) -5

Half the x coefficient inside parentheses will be the constant in the squared binomial term, so that term is (x -3)². The constant in that square is +9, so adding that value inside and outside parentheses in g(x) gives ...

... g(x) = -1(x² -6x +9) -5 +9

... g(x) = -(x -3)² +4 . . . . . vertex form

_____

<em>About transformations</em>

g(x) = f(x -a) causes the graph of f(x) to be shifted "a" units to the right. For a function f(x) with an axis of symmetry at x=0, it moves the axis of symmetry to x=a.

g(x) = f(x) +a causes the graph of f(x) to be shifted "a" units up.

g(x) = -f(x) causes the graph of f(x) to be reflected across the x-axis.

Here, we have all three of these transformations. First is the reflection:

... f₁(x) = -f(x) = -x²

Then we have shifting to the right 3 units. (also moves the axis of symmetry)

... f₂(x) = f₁(x-3) = -(x -3)²

Finally, we have shifting up 4 units.

... g(x) = f₂(x) +4 = -(x -3)² +4

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3 years ago

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Help with finding proofs

nadya68 [22]

Answer:

Statement: ∠XYZ = ∠ABC Reasons: Below

Step-by-step explanation:

For two angles to be complementary means that the sum of the two angles is equivalent to 90°. When an angle has one of those little squares, that means the angle is a right angle, or a 90° angle. Also, since it's given that line segment AB and line segment BC are perpendicular, this means the two lines/line segments cross each other at a right angle, which also proves that line segment AB and BC have a 90° angle.

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1 year ago