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4 years ago

Can Someone Explain??

1 answer:

3 0

A) Dependent Variable = Sue's Earning
Independent Variable = Number of hours she work

Y = 6x

B) When, x = 1, y = 6(1) = 6,
when x = 2, y = 6(2) = 12
when x = 3, y = 6(3) = 18

Ordered pairs would be: (1, 6), (2, 12), (3, 18)

C) Equation would be: Y = 6x
Where, y = Earning
x = number of hours

Hope this helps!

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Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.

musickatia [10]

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

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3 years ago

Find the value of A when pi= 3.142 and r= 5

guapka [62]

Answer:

7.855

Step-by-step explanation:

A=pi*r^2=3.142*5^2=3.142*25=7.855

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3 years ago

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

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3 years ago

If f(1)=10 and f(n)=-5f(n-1)-2 then find the value of f(4)

Flura [38]

Answer:

$\large\boxed{f(4)=-1292}$

Step-by-step explanation:

$f(n)=-5f(n-1)-2\\\\f(1)=10\\\\f(2)=-5f(2-1)-2=-5f(1)-2\\\text{put}\ f(1)=10:\\f(2)=-5(10)-2=-50-2=-52\\\\f(3)=-5f(3-1)-2=-5f(2)-2\\\text{put}\ f(2)=-52\\f(3)=-5(-52)-2=260-2=258\\\\f(4)=-5f(4-1)-2=-5f(3)-2\\\text{put}\ f(3)=258\\f(4)=-5(258)-2=-1290-2=-1292$

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3 years ago

A cyclist travels 6 miles in 15 minutes. What is her average speed in mph?

Rasek [7]

Answer:

24 miles per hour

Step-by-step explanation:

A cyclist travels 6 miles in 15 minutes. What is her average speed in mph?

Step one:

given data

distance= 6 miles

time= 15 minutes

convert minutes to hours

15 minutes is 0.25hours

Step two:

speed= distance/time

speed= 6/0.25

speed= 24 miles per hour

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3 years ago