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2 years ago

A quadratic function is defined by p(x)=(x−1)(x+3).

Mathematics

1 answer:

denis-greek [22]2 years ago

7 0

<h3>Explanation:</h3>

y = (x - 1)(x + 3)

Find y intercept:

y = (0 - 1)(0 + 3) ⇒ y = -3

coordinates: (0, -3)

Find x intercept:

(x - 1)(x + 3) = 0 ⇒ x = 1, x = -3

coordinates of x intercept: (1, 0), (-3, 0)

Vertex: x = -b/2a = -2/2(1) = -1

y = (-1 -1)(-1 +3) = -4

coordinates: (-1, -4)

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The circumference of a circle is . What is the area of the circle in terms of ?

LenKa [72]

Answer:

$\frac{225}{4}$ π

Step-by-step explanation:

Formula for the circumference of a circle

2r(π)

Area of a circle

πr²

2r(π)=x

x/2(π)=r

π(x/2(π))²=Area

π(x²/4(π)²)=Area

(x²/4(π))=Area

(15π)²÷4π=Area

$\frac{225}{4}$ π

7 0

2 years ago

A kicker made 10 of his last 12 field goals. Predict about how many of his next 42 field goals the kicker will not make. Show yo

dimulka [17.4K]

The number of his next 42 field goals the kicker will not make will be 35.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A kicker made 10 of his last 12 field goals.

Predict the number of his next 42 field goals the kicker will not make will be

Let x be the number of his next 42 field goals the kicker will not make.

Then we have

x / 10 ≠ 42 / 12

x ≠ 35

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

4 0

1 year ago

Approximate f by a Taylor polynomial with degree n at the number a. Step 1 The Taylor polynomial with degree n = 3 is T3(x) = f(

MAVERICK [17]

Answer:

If you center the series at x=1

$T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)$

Where $R(x)$ is the error.

Step-by-step explanation:

From the information given we know that

$f(x) = e^{2x^2}$

$f'(x) = 4x e^{2x^2}$ (This comes from the chain rule )

$f^{(2)}(x) = 4e^{2x^2} (4x^2+1)$ (This comes from the chain rule and the product rule)

$f^{(3)}(x) = 16xe^{2x^2}(4x^2 + 3)$ (This comes from the chain rule and the product rule)

If you center the series at x=1 then

$T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)$

Where $R(x)$ is the error.

3 0

2 years ago

What is the exact volume of the cylinder?, (a) 54in. (b) 108in. (c) 162in. (d) 324in.

lbvjy [14]

9x 6x6x3.14 = 1017.36
I followed the formula but why donMt have the answer right here

4 0

2 years ago

What line is parallel to 2x+5y=6 that goes through (5,3)

Anna11 [10]

Answer:

4y = x - 17

Step-by-step explanation:

First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = $\frac{-2x}{5}$ + $\frac{6}{5}$ which make the gradient, m, the coefficient of x = $\frac{-2}{5}$ . Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)

Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)

y - 3 = $\frac{1}{4}$ (x - 5); y - 3 = $\frac{x}{4}$ - $\frac{5}{4}$ ; y = $\frac{x}{4}$ - $\frac{5}{4}$ +3

y = $\frac{x}{4}$ - $\frac{17}{4}$ ; y = $\frac{x-17}{4}$ ; 4y = x - 17

7 0

2 years ago