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3 years ago

How many solutions does this system of equations have?

Mathematics

2 answers:

denis-greek [22]3 years ago

7 0

Answer:

exactly one

Step-by-step explanation:

1. subtract 2x from the equation 2x + y = 1

2. now you should have y= -2x + 1

3. then on the second equation subtract 4x from 4x + 2y = 2

4. now you should have 2y = -4x + 2

5. divide everything by 2

6. now you should have y = -2x + 1

7. since you got an exact answer on both of them then it is exactly one

ValentinkaMS [17]3 years ago

5 0

My answer would be exactly one

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Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to

Zepler [3.9K]

Step-by-step explanation:

We know that,

$Z=\dfrac{X-\mu}{\sigma}$

Where,

X = raw score = 84

μ = mean = 68

σ = standard deviation = 10

Putting the values,

$Z=\dfrac{84-68}{10}=1.6$

The percent of his sales that were less than or equal to 84 inches, is

$P(Z\leq 1.6)=0.9452=94.52\%\approx 94.5\%$

Therefore, the remaining 100-94.5=5.5% were more than 84 inches.

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3 years ago

Which of the following functions gives the length of the base edge, a(v), of a right square pyramid that is 8 inches tall as a f

Reil [10]

Answer:

$\large\boxed{a(V)=\sqrt{\dfrac{3V}{8}}}$

Step-by-step explanation:

The formula of a volume of a square pyramid:

$V=\dfrac{1}{3}a^2h$

a - base edge

h - height of a pyramid

We have H = 8in.

Substitute and solve for a:

$\dfrac{1}{3}a^2(8)=V\\\\\dfrac{8}{3}a^2=V\qquad\text{multiply both sides by}\ \dfrac{3}{8}\\\\\dfrac{3\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}\cdot\dfrac{8\!\!\!\!\diagup^1}{3\!\!\!\!\diagup_1}a^2=\dfrac{3}{8}V\\\\a^2=\dfrac{3V}{8}\Rightarrow a=\sqrt{\dfrac{3V}{8}}$

3 0

3 years ago

How would I solve for x?

vaieri [72.5K]

Answer:

$x = 65$

Step-by-step explanation:

First, we calculate the unknown angle of the left triangle and right triangle: $180 - 62 - 50 = 68$

Unknown angle for left triangle⬆️

$180 - 80 - 53 = 47$

Unknown angle for right triangle⬆️

Now we've calculated the two angles for the small triangle in the middle. So, we just have to calculate the top angle of the middle triangle:

$180 - 68 - 47 = 65$

The angle 65° and angle of x are vertical angle.(both are equal)

So... x= 65°

hope it helps :)

4 0

3 years ago

W/6 = 6/9 Im failing mathhhh helpppp

yawa3891 [41]

Answer:

W = 4

Step-by-step explanation:

4/6 = 6/9

2/3 = 2/3

7 0

3 years ago

Read 2 more answers

1. A ladybug lands on the end of a pinwheel that is spinning at a steady speed. The equation y = –7 sin (0.4πx) + 11 gives the h

AlladinOne [14]

That question isn't nearly as hard as they want it to be. The "a" in the sin function is the altitude of the function...how high it goes up and how low it goes down. The negative in front of the 7 just means that it starts going down before it goes up (a classic sine wave goes up and then down; the negative just reverses that). From the wave's midpoint on the y axis, which is 11 (hence, the +11 in the equation), the wave goes up 7 (to a y value of 18) and then goes down 7 (to a y value of 4). Because it goes up 7 and then down 7, the diameter of the pinwheel is 14. The sin wave mimics the round and round motion of the pinwheel. You could have been able to tell that it was 14 just by looking at what the altitude was. The altitude is always the number the wave goes up and down from its midpoint. 7 up and 7 down makes 14 altogether.

3 0

3 years ago