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Svetach [21]

3 years ago

class="latex-formula">

Mathematics

2 answers:

emmasim [6.3K]3 years ago

8 0

Answer:

x ≤ - $\frac{1}{3}$

Step-by-step explanation:

Given

3x + 14 ≤ 13 ( subtract 14 from both sides )

3x ≤ - 1 ( divide both sides by 3 )

x ≤ - $\frac{1}{3}$

Anna35 [415]3 years ago

6 0

Answer:

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about:</h3>

inequality
PEMDAS

<h3>given:</h3>

3x+14≤13

<h3>to solve:</h3>

<h3>let's solve:</h3>

$step - 1 \colon \: define$

$3x + 14 \leqslant 13$

$step - 2 \colon \: subtract$

$3x + 14 - 14 \leqslant 13 - 14$

$3x \leqslant - 1$

$step - 3 \colon \: divide$

$\frac{3}{3} x \leqslant - \frac{1}{3}$

$x \leqslant - \frac{1}{ 3}$

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Algebra Find the values for x and y in parallelogram ABCD. AE= x+5, EC=y, DE=2x+3, EB=y+2

olya-2409 [2.1K]

The values of x and y are ⇒ x = 4 and y = 9

Step-by-step explanation:

In a parallelogram

1. Each two opposite sides are equal and parallel

2. Each two opposite angles are equal

3. Its two diagonals bisect each other

In parallelogram ABCD

∵ Its diagonal AC and BD intersect each other at point E

∵ AC and DE bisect each other at E

∴ E is the mid-point of AC

∴ AE = EC

∴ E is the mid-point of BD

∴ DE = EB

∵ AE = x + 5

∵ EC = y

∵ AE = EC

∴ x + 5 = y ⇒ (1)

∵ DE = 2x + 3

∵ EB = y + 2

∵ DE = EB

∴ 2x + 3 = y + 2

- Subtract 2 from both sides

∴ 2x + 1 = y ⇒ (2)

Substitute y in equation (2) by equation (1)

∵ 2x + 1 = x + 5

- Subtract x from both sides

∴ x + 1 = 5

- Subtract 1 from both sides

∴ x = 4

Substitute the value of x in equation (1) to find y

∵ x + 5 = y

∵ x = 4

∴ 4 + 5 = y

∴ y = 9

The values of x and y are ⇒ x = 4 and y = 9

Learn more:

You can learn more about parallelograms in brainly.com/question/6779145

#LearnwithBrainly

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step 1

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Ava opens an account with $400. She deposits $200/month for 20 years. The interest rate is 2.15%. How much interest will she hav

artcher [175]

Answer:

d. None of the above

Step-by-step explanation:

We assume the sequence of deposits is ...

month 0: $400

month 1: $200

month 2: $200

...

month 240: $200 . . . . accumulated interest is determined at this point

That is, no interest is earned on the last deposit.

_____

The value of the initial $400 deposit after 20 years at 2.15% interest compounded monthly is ...

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The value of the $200 annuity at the same interest rate is ...

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So, the total account value is ...

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The interest earned is the difference between the account value and the total of deposits:

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None of the above

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3 years ago