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Lady bird [3.3K]
3 years ago
15

How do I find QS here?

Mathematics
1 answer:
docker41 [41]3 years ago
3 0
Answer: 12.

To solve this problem, let's first solve for x. Thi is easiest done by figuring what QR is in terms of x using two equations, both from different lines.

In the first line:
QR = 15 - 4x.

In the third line:
QR = 13x - 1 - x = 12x - 1.

Now, we have to set these equations equal to each other. 
15 - 4x = 12x - 1
15 = 16x - 1
16x = 16
x = 1

Next, we take line three, 13x - 1, and substitute x as 1. The answer is 12.
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The equation of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains
hodyreva [135]

Answer:

Step-by-step explanation:

eq. of line parallel to AB is y=2x+a

if it passes through (3,-2) then

-2=2×3+a

a=-2-6=-8

y=2x-8

7 0
3 years ago
Read 2 more answers
A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on four numbers pays 8 to 1 (that is, if you bet $1 and one of t
Natasha_Volkova [10]

Answer:

Lose $0.05

Step-by-step explanation:

There are 38 possible spots on the roulette wheel (numbers 1 to 36, 0 and 00).

If the player can choose four numbers on single $1 bet, his chances of winning (W) and losing (L) are as follows:

P(W) = \frac{4}{38} \\P(L) = 1-P(W) = 1-\frac{4}{38} \\P(L) = \frac{34}{38}

The expected value of the bet is given by the probability of winning multiplied by the payout ($8), minus the probability of losing multiplied by the bet cost ($1)

EV=\frac{4}{38}*\$8 -\frac{34}{38}*\$1\\EV= -\$0.05

On each bet, the player is expected to lose 5 cents ($0.05).

4 0
3 years ago
If f and g are continuous functions with f(0) = 2 and the following limit, find g(0). lim_(x->0)[2 f(x) - g(x)] = -3
ladessa [460]

We have by distributivity of limits over sums, and continuity of f(x) and g(x), that

\displaystyle \lim_{x\to0} \bigg(2f(x) - g(x)\bigg) = 2 \lim_{x\to0} f(x) - \lim_{x\to0} g(x) = 2 f(0) - g(0)

Given f(0)=2, it follows that

2^2 - g(0) = -3 \implies g(0) = \boxed{7}

5 0
2 years ago
Question down belowww​
Karo-lina-s [1.5K]

Answer:

z=6

Step-by-step explanation:

First you add -8 to both sides. Now the equation is \frac{z}{-2} \\=-3. Now you must multiply both sides by -2, so you get z=6

5 0
3 years ago
There are 10 less red skittles than orange Skittles in a bag. The orange Skittles are also twice the number of red skittles. Fin
Sunny_sXe [5.5K]

Let the number of red skittles be = x

Let the number of orange skittles be = y

Red skittles are 10 less than orange, this gives

x = y-10................(i)

Orange Skittles are twice the number of red skittles, this gives

y = 2x.............(ii)

Incorporating the value of y from second equation into first

x = 2x - 10

hence, x = 10

Now putting the value of x in equation second

y = 2x

y = 2*10

y = 20

Hence, the number of red skittles are 10 and the number of orange skittles are 20.


7 0
4 years ago
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