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3 years ago

Subtract 2x^2+6x-5from7x^2+3x+4

Mathematics

1 answer:

Gnom [1K]3 years ago

5 0

-5^2+9x-9 (need more space to answer)

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A vending machine randomly dispenses gumballs of three flavors: orange, grape, and cherry. If the machine currently contains 20

Monica [59]

Answer:

Step-by-step explanation:

Find the worst case scenario.

Worst case:

12 grape gumballs, 7 cherry gumballs, and 3 orange gumballs.

12 + 7 + 3 = 22

The answer is 22 gumballs.

Hope this helps :)

Have a great day!

3 0

3 years ago

Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

MrRissso [65]

Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

$n-1=51$

Therefore, the probability of drawing a three at the 2nd draw is

$p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784$

Then, at the third draw, the previous 2 cards are not replaced, so there are now

$n-2=50$

cards in the deck. So, the probability of drawing a jack is

$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

$p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}$

4 0

4 years ago

South of the White House in Washington, D.C., is the President’s Park South, or the Ellipse, which hosts events such as the Whit

kari74 [83]

To answer this, we need to start with the standard equation for an ellipse:
(x^2/a^2)+(y^2/b^2)=1
Where a is one half of one axis, and b is one half of the other.
The problem states that one axis is 1057 ft, and the other is 880 ft, so divide these values by 2 and square them. This results in:
(x^2/279,312.25)+(y^2/193,600)=1
For verification, if you have a graphing calculator, solve for y, set the size of the window so it should perfectly fit the ellipse, and check (it does)

3 0

4 years ago

Find the value of x

weeeeeb [17]

Step-by-step explanation:

i think 8 is the answer

4 0

3 years ago

Two pieces of fabric

Bess [88]

Answer:

<h2> 487/8 inches </h2>

Step-by-step explanation:

$\left(\dfrac{143}{4}-\dfrac38\right)+\left(\dfrac{207}{8}-\dfrac38\right)=\dfrac{286}{8}-\dfrac38+\dfrac{204}{8}=\dfrac{283}{8}+\dfrac{204}{8}=\dfrac{487}{8}$

6 0

3 years ago