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Yanka [14]
3 years ago
12

Which restriction is appropriate for the variable 4a + 12 / a + 3

Mathematics
2 answers:
bonufazy [111]3 years ago
5 0

I'll presume the slash is the fraction bar and the questioner is asking about

\dfrac{4a+12}{a+3}

That always equals 4 except when a=-3

So the restriction is

Answer:  a ≠ -3

Archy [21]3 years ago
4 0

Answer:

The restriction is at a=-3

Step-by-step explanation:

You need to see if there are like terms. If there are that is a hole. For example you can a 4 out of the equation like so.

4(a+3)/a+3.

since they both have a+3 that is a hole. so a+3=0 so a=-3 is a restriction

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When Mohammed was born, the baby was 21 inches tall. at his last check up, he was 38 inches tall. what is the percent increase i
denis23 [38]

Answer:

80.95

Step-by-step explanation:

Percentage increase = \frac{New Value - Old Value}{Old Value} *100

=> (38-21)* 100/21 = 80.9523%

The answer round it to the nearest 100th = 80.95%

5 0
3 years ago
Which of the following inequalities matches the graph? (1 point)
pickupchik [31]

Answer:

there were no inequalities to choose from but I believe the answer is y ≤ 4x

Step-by-step explanation:

4 0
3 years ago
savannah is painting a striped background for a mural on a wall that is 15 yards long. she wants a total of 96 stripes that’s ar
adell [148]
In this item, we are tasked to determine the calculation that can be done in order to determine the length or width of the painted mural in each striped area. This can be done by dividing the total length by the number of stripes as shown in the equation below.

   Length per stripe = Total length / number of stripes
    Length per stripe = 15 yards / 96 stripes
                           = 0.15625 yard/stripe
8 0
3 years ago
Read 2 more answers
I need help very important
siniylev [52]

Answer:

∠ EFG = 83°, ∠ GCE = 97°

Step-by-step explanation:

Since FE and FG are tangents to the circle then

∠ FGC and ∠ FEC are right angles

The sum of the angles in quadrilateral CEFG = 360°

Sum the 4 angles and equate to 360

3x + 11 + 90 + 5x - 23 + 90 = 360, that is

8x + 168 = 360 ( subtract 168 from both sides )

8x = 192 ( divide both sides by 8 )

x = 24

Thus

∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°

∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°

4 0
3 years ago
Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?
Kruka [31]
How the quadratic formula works:

For any quadratic equation ax² + bx + c = 0, the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0

Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.

Plug these into our quadratic formula and solve.

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(7)(-7)}}{2(7)}=\boxed{\frac{1\pm\sqrt{197}}{14}

There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.
5 0
3 years ago
Read 2 more answers
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