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shtirl [24]
3 years ago
15

​ y=−2x−4 y=3x+3 ​

Mathematics
1 answer:
krok68 [10]3 years ago
8 0
Since there is no question I do not know what is being solved for, but if you’re wondering what the value of x and y equal here’s the explanation.

Set up both equations equal to each other > -2x-4 = 3x+3
Subtract 3 from both sides to get > -2x-7 =3x
Subtract the -2x on both sides to get > -7 = 5x.
Divide both sides by 5 and x = -1.40 or (-1 2/5)

In order to get y value take one of the equation and replace the x in the equation with the value of x you just solved for.
y = -2(-1.4) - 4
multiply the number in the parenthesis and the -2 and you get > y = 2.8 - 4
subtract the two and y = 1.2

x = -1.4 (-1 2/5)
y = 1.2 (1 1/5)

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1. 6 exponent 3+4

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4 0
3 years ago
Wind can cause air to move at speeds up to 130 meters per second. At that rate, how long would it take air to travel 5,850 meter
Darina [25.2K]
It would take the air 45 seconds to travel 5,850 meters.
7 0
4 years ago
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hou
makkiz [27]

Answer:

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

0  \leqslant x \leqslant 3

20x,

3 < x \leqslant 6

10x,

x > 6

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.

4 0
3 years ago
A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle
Crank

Answer:

Length of the side opposite to angle 116^{\circ} is 31.49

Step-by-step explanation:

Included angle can be defined as the angle in between two sides of the triangle.

So angle 116^{\circ} is in between sides 16 and 21.

Refer to the attachment for triangle diagram.

To find the length of opposite side, use cosine rule as follows

a^{2}=b^{2}+c^{2}-2\:b\:c\cos\left(A\right)

From the diagram, b = 21,c = 16,\angle A=116^{\circ}

Substituting the values in the formula,

a^{2}=\left(21\right)^{2}+\left(16\right)^{2}-2\left(21\right)\left(16\right)\cos\left(116\right)

Simplifying,

a^{2}=441+256-225792\left(-0.44\right)

a^{2}=991.59

Taking square root on both sides,

\sqrt{a^{2}}=\sqrt{991.59}

a=31.49

Therefore length of third side is 31.49

7 0
3 years ago
How many eighths make a quarter
Marianna [84]

Answer:

Two Eighths

Step-by-step explanation:

One eighth is one part of eight equal sections. Two eighths is one quarter

6 0
3 years ago
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