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Brilliant_brown [7]

4 years ago

15

Two towns A and B are 12.0 mi apart and are located 5.0 and 3.0 mi, respectively, from a long, straight highway.

1 answer:

Romashka-Z-Leto [24]4 years ago

3 0

The solution to the problem is as follows:

d=AS+SB=AS+SB'=√(AB"²+B'B"²)
<span>AB"²=12²-2²=140
</span>
<span>d=√(140+8²)=√204=14.283 miles
</span>
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The fire department was hoping for a big turn-out for their fundraising picnic. Due to the rainy weather, fewer than 92 people a

mylen [45]

Answer:

i believe its y<92

Step-by-step explanation:

Because FEWER than 92 people attended the picnic,The number of people who attended is less than the number of people who they hoped would attend the picnic.

4 0

3 years ago

Find all the zeros of the equation. Need help finding the zeros.

marta [7]

Given the expression
-3x^4+27x^2+1200=0
let x^2=a
we can re-write our expression as:
-3a^2+27a+1200=0
-3(a^2-9a-400)=0
a^2-9a-400=0
factorizing the above we have:
a^2+16a-25a-400=0
a(a+16)-25(a+16)=0
(a+16)(a-25)
thus replacing back x^2 we have:
(x^2+16)(x^2-25)
=(x^2+16)(x-5)(x+5)
factorizing (x^2+16) we get
x^2=+/-√-16
x=+/-4i
thus the zeros of the expression are:
x=-5, x=5 , x=-4i, x=4i

6 0

3 years ago

How do you writer this function in standard form??

taurus [48]

Question 1) Function defining the table:

From the table the x-intercepts are -2 and 1. This means the factors are:

(x+2) and (x-1)

Let

$h(x) = a(x + 2)(x - 1)$

The point (-1,-1) satisfy this function since it is from the same table.

$- 1 = a( - 1 + 2)( - 1 - 1) \\ - 1 = - 2a \\ a = \frac{1}{2}$

Therefore the function is

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

We expand to get:

$h(x) = \frac{1}{2} ( {x}^{2} + x - 2)$

The standard form is:

$h(x) = \frac{ {x}^{2} }{2} + \frac{x}{2} - 1$

Question 3) Parabola opening up

The x-intercepts are x=3 and x=7

The factors are (x-3), (x-7)

The factored from is

$y = a(x - 3)(x - 7)$

The curve passes through (5,-4)

$- 4= a( 5- 3)( 5 - 7) \\ - 4= - 4a \\ a = 1$

The equation is:

$y = (x - 3)(x + 7)$

Expand:

$y = {x}^{2} + 7x - 3x - 21$

$y = {x}^{2} + 4x - 21$

This is the standard form:

Question 3) Parabola opening down:

The x-intercepts are x=-5 and x=1

The factors are (x+5), (x-1)

The factored form is

$y = - (x + 5)(x - 1)$

We expand to get:

$y = - ( {x}^{2} - x + 5x - 5)$

$y = - {x}^{2} - 4x + 5$

This is the standard form.

5 0

4 years ago

Mya scored the following points in four basketball games: 16, 24, 32, and 22. To be a future WNBA #1 pick, like the NY Liberty's

Andrew [12]

Answer:

The least amount of points Mya must score to meet her goal is 31.

Step-by-step explanation:

The average of a data set is the a single, distinct value that represents the entire data.

The formula to compute average is:

$\bar X=\frac{1}{n}\sum X$

It is provided that Mya's scores in 4 basket ball games were,

S = {16, 24, 32 and 22}

Mya wants to score an average of more than 25 points per game after her fifth game.

Let the score of her fifth game be denoted by <em>a</em>.

The average of all the score must be more than or equal to 25 points.

Compute the value of <em>a</em> as follows:

$\bar X\geq 25\\$

$\frac{1}{5}\times [16+24+32+22+a]\geq 25$

$94+a\geq 125\\$

$a\geq 125-94\\a\geq 31$

Thus, the least amount of points Mya must score to meet her goal is 31.

5 0

3 years ago

−3(x−6)−3x⩾12equals

Cloud [144]

The answer is X less than or equal to 1

6 0

3 years ago