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Which could be the graph of f(x)=|x-h|+k if h and k are both positive

julia-pushkina [17]

The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).

Answer: correct choice is A.

6 0

2 years ago

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Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40% chance of him selling a candy bar

labwork [276]

Answer:

It will take him about 13 houses to sell the 5 candy bars.

Pat has an 18% chance of selling his last candy in the 11th house.

Step-by-step explanation:

Since Pat is required to sell candy bars to raise money for the 6th grade field trip, and there is a 40% chance of him selling a candy bar at each house, and he has to sell 5 candy bars in all, to determine the number of houses it takes and determine the probability he sells his last candy bar at the 11th house, the following calculations must be performed:

5 / 0.40 = X

12.5 = X

So, it will take him about 13 houses to sell the 5 candy bars.

5/11 = X

0.45 = X

0.45 x 0.4 = 0.18

Thus, Pat has an 18% chance of selling his last candy in the 11th house.

4 0

2 years ago

"per month" means: ADD

Effectus [21]

Per month means multiply
Total means the amount your ending with but for this you could say add
Final answer f = 4.75 + 10m

3 0

1 year ago

Bethany paid $408.75 for a pair of diamond stud earrings. The sale price was $375. What is the Percent of Sales Tax she paid for

9966 [12]

Answer:

She paid 9% of sales tax

Step-by-step explanation:

The sale price of diamond = $375

Let x be percent of sales tax

So, amount of tax = $x\% \times 375 = \frac{x}{100} \times 375 =3.75x$

So, Amount including tax = 375+3.75x

We are given that Bethany paid $408.75 for a pair of diamond stud earrings.

So, 375+3.75x=408.75

3.75x=408.75-375

$x=\frac{408.75-375}{3.75}$

x=9

Hence She paid 9% of sales tax

5 0

2 years ago

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the

zlopas [31]

1. The function $h(t)=-16t^{2}+48t$ is a parabola of the form $ax^{2}+bx$ . The the formula for the axis of symmetry of a parabola is $x= \frac{-b}{2a}$ . We can infer from our function that $a=-16$ and $b=48$ , so lets replace those values in our formula:
$x= \frac{-b}{2a}$
$x= \frac{-48}{-2(16)}$
$x= \frac{-48}{-32}$
$x= \frac{3}{2}$
$x=1.5$
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
$0=-16t^{2}+48t$
$-16t(t-3)=0$
$t=0$ or $t-3=0$
$t=0$ or $t=3$
From our previous point we know that the ball reaches its maximum time at $t=1.5$ , which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

7 0

2 years ago

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