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2 years ago

15

If it takes Ashley 3.3 seconds to run from the batter's box to first base which is a distance of 90 ft, what is her average spee

d? show work pls

1 answer:

klio [65]2 years ago

7 0

Answer: 1629/m

Step-by-step explanation:

60 (A minute)/3.3=18.1

90*18.1=1629

1629/m

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Chase made a scale drawing of a neighborhood park. The scale of the drawing was 1 millimeter : 8 meters. The volleyball court is

AlexFokin [52]

Answer:

Length of the volleyball court in drawing = 2 mm

Step-by-step explanation:

8 meter = 8 *1000 = 8000 mm

Scale factor = 1 : 8000

Length of the volleyball court in drawing = x

1 : 8000 :: x : 16000

$\dfrac{1}{8000}=\dfrac{x}{16000}\\\\\\\dfrac{1}{8000}*16000=x\\\\$

x = 2 mm

5 0

1 year ago

Find a third-degree polynomial equation with rational coefficients that has roots -4 and 6 + i.

dolphi86 [110]

Answer:

x³ - 8x² - 11x + 148

Step-by-step explanation:

Given that x = 6 + i is a root then x = 6 - i is also a root

Complex roots occur as conjugate pairs.

The factors are therefore (x - (6 + i)) and(x - (6 - i))

Given x = - 4 is a root then (x + 4) is a factor

The polynomial is the product of the factors, that is

p(x) = (x + 4)(x - (6 + i))(x - (6 - i))

= (x + 4)(x - 6 - i)(x - 6 + i)

= (x + 4)((x - 6)² - i²)

= (x + 4)(x² - 12x + 36 + 1)

= (x + 4)(x² - 12x + 37) ← distribute

= x³ + 4x² - 12x² - 48x + 37x + 148

= x³ - 8x² - 11x + 148

3 0

2 years ago

Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

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3 years ago

2. Which expression is equivalent to 20+64

MaRussiya [10]

Answer:

20+64=84

40+44=84

74+10=84

30+54=84

Step-by-step explanation:

(pls mark brainliest if u can)

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3 years ago

Identify the range of the function

NeX [460]

Answer:

what function

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers