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Bess [88]
4 years ago
9

Solve the inequality

1 \leqslant 8x + 16" alt="5x - 1 \leqslant 8x + 16" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Rainbow [258]4 years ago
8 0
X=-17/3 because all you do is move the terms, collect like terms, calculate the like sum, and then divide both sides by -3

Your welcome
zimovet [89]4 years ago
8 0

Answer:

x ≥ - \frac{17}{3}

Step-by-step explanation:

Given

5x - 1 ≤ 8x + 16 ( subtract 5x from both sides )

- 1 ≤ 3x + 16 ( subtract 16 from both sides )

- 17 ≤ 3x ( divide both sides by 3 )

- \frac{17}{3} ≤ x, hence

x ≥ - \frac{17}{3}

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I am a solid figure with two congruent polygons that are bases connected with lateral faces that are rectangles
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<span>We have lateral faces that are rectangles and 2 congruent polygons that are bases. This must be 3-dimensional solid figure - quadrilateral prism. If those 2 bases are squares then it is a rectangular prism, but the bases also can be 2 rhombuses. Answer: Quadrilateral prism.</span><span />
5 0
4 years ago
Please someone answer this, “what is the area of triangle ABC?”
prisoha [69]

Here's the solution,

The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

\dfrac{ \sqrt{3} }{4}  {a}^{2}

where,

  • a = 8 ( side measure )

=》

\dfrac{ \sqrt{3} }{4}  \times 8 \times 8

=》

\sqrt{3}  \times 16

=》

16 \sqrt{3} \:  \:  \:  cm {}^{2}

or

=》

27.71 \:  \: cm {}^{2}

4 0
3 years ago
Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much
NNADVOKAT [17]

Answer:

Bill has $21.

Step-by-step explanation:

There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.

6 0
3 years ago
Lizzie has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Algebraically determine how many of each t
Gnom [1K]

Lizzie has 18 dimes and 12 quarters

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that LIzzie has 30 coins

number of dimes + number of quarters = 30

d + q = 30 ---- eqn 1

Also given that the coins total $ 4.80

number of dimes x  value of 1 dime + number of quarters x  value of 1 quarter = 4.80

d \times 0.10 + q \times 0.25 = 4.80

0.1d + 0.25q = 4.8 ------ eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 30 - q ---- eqn 3

Substitute eqn 3 in eqn 2

0.1(30 - q) + 0.25q = 4.8

3 - 0.1q + 0.25q = 4.8

0.15q = 1.8

<h3>q = 12</h3>

From eqn 3,

d = 30 - 12

<h3>d = 18</h3>

Thus she has 18 dimes and 12 quarters

6 0
4 years ago
Given the function f(x) = -5x2 + 3x, express the value of f(a+h) – f(x) in simplest<br> form.
chubhunter [2.5K]

Step-by-step explanation:

it comes to

- 7x

6 0
3 years ago
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