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Anestetic [448]
3 years ago
6

4x+8=6x-14Prove: x= 11

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0
4x+8=6x-14
-4x. -4x
8=2x-14
+14 +14
22=2x
/2. /2
11=x
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Lauren invested $340 in an account paying an interest rate of 5.8% compounded monthly. Assuming no deposits or withdrawals are m
Viktor [21]

A = P(1 + rt)

A=340(1+.58x13)

2903.6

8 0
3 years ago
Find the value of x when : 2^30/8^9=2^x
artcher [175]

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

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Now you know that x = -3

3 0
2 years ago
Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down,
jeka94

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

  • If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)
  • If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)
  • If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

6 0
3 years ago
Simplify the expression
shusha [124]

Answer:

it can't be simplified.

8 0
3 years ago
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What is the standard deviation of the following data set rounded to the nearest tenth? 60, 40, 35, 45, 39
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Answer:

i think it would be 8.7

Step-by-step explanation:

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3 years ago
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