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muminat
3 years ago
15

Solve for x when y=16. 3x+7=y

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer: 3

Step-by-step explanation:

3x + 7 = y

3x + 7 = 16

*subtract 7 from both sides because inverse operations*

3x = 9

*divide both sides by 3 because inverse operations*

x = 3

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Write the equation of a piecewise function with a jump discontinuity at x =3. Then, determine which step of the 3-step test for
seraphim [82]

Answer:

Here's a possible example:

Step-by-step explanation:

f(x) =\begin{cases} x & \quad x < 3\\x+3 & \quad x \geq 3\\\end{cases}

Each piece is linear, so the pieces are continuous by themselves.

We need consider only the point at which the pieces meet (x = 3).

\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) = \lim_{x \longrightarrow 3^{-}} x = 3\\\\\displaystyle \lim_{x \longrightarrow 3^{+}} f(x) = \lim_{x \longrightarrow 3^{+}} x+3 = 6\\\\f(3) = x + 3 = 6\\\\\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) \neq f(3)

The left-hand limit does not equal ƒ(x), so there is a jump discontinuity at x =3.

5 0
3 years ago
Melons cost $20 pet Crate, and apples cost $8 per create. an order comes in for a total of 48 crates for $420. what was the numb
Alika [10]

Answer:

The number of melon was 3 and the number of apples was 45.

Step-by-step explanation:

1. Melons cost $20 per crate and apples cost $8 per create. If the total was 48 crates for $420, you can make the following system of equations, where x is the number of melons and y is the number of apples:

\left \{ {{x+y=48} \atop {20x+8y=420}} \right.

2. By applying the Method of substitution, you can solve for y in the first equation and substitute it into the second one to find x. Then, you can substitute the value of x into the first equation to find y:

y=48-x

20x+8(48-x)=420\\20x+384-8x=420\\12x=36\\x=3

3+y=48\\y=45


4 0
4 years ago
A party tent is used for an outdoor event. Ropes of equal length support each tent pole. The angle the rope makes with the floor
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Law of sines can be used to solve this problem:

(note - let x represent the missing side length.)

1. set up proportion.
sin 90°/25 = sin 55<span>°/x

2. solve.
(x) sin 90</span>° = (25) sin 55<span>°

(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5 
8 0
3 years ago
Read 2 more answers
If 18.9 million computers were in use in 1980 and the number is rising by 19% annually, predict the number of computers in use i
4vir4ik [10]
18.9(1+0.19)^35, 35 is the number of years
use your calculator, you should get 661.5, round to the newest whole number 662million

4 0
3 years ago
Calculate the speed of a dog running through a yard covering 24m in 52s
MissTica
2.16666... -Meters Per Second
About 4.8467- Miles Per Hour 
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7 0
3 years ago
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