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Inga [223]
3 years ago
6

2(3x - 4) + 10 = 5(x + 4)solving equations from book (geometry common core)​

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

x = 18

Step-by-step explanation:

Given

2(3x - 4) + 10 = 5(x + 4) ← distribute parenthesis on both sides

6x - 8 + 10 = 5x + 20, that is

6x + 2 = 5x + 20 ( subtract 5x from both sides )

x + 2 = 20 ( subtract 2 from both sides )

x = 18

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Graph the line y=−3x+b if it is known that the graph goes through point:
Gemiola [76]

Answer:

А(0/6;-2) и B(-5.6;17)

Step-by-step explanation:

(-2;4) поставь координаты место (x;y)

Например: 4=-3*(-2)+b, найдите b, а затем нарисуйте график.

Я отправила вам фото. Там всё написано и график тоже

8 0
3 years ago
Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number
monitta

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{9}{15}

\text{Probability}=\dfrac{3}{5}

\text{Probability}=0.6

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

8 0
2 years ago
Long Division: (3x^4-8x^3-x^2+9x+5) / (x-2) pleaseee answer this
Drupady [299]

3<em>x</em>⁴ = 3<em>x</em>³ • <em>x</em>, and

3<em>x</em>³ (<em>x</em> - 2) = 3<em>x</em>⁴ - 6<em>x</em>³

Subtract this from the numerator to get a remainder of

(3<em>x</em>⁴ - 8<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) - (3<em>x</em>⁴ - 6<em>x</em>³) = -2<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5

-2<em>x</em>³ = -2<em>x</em>² • <em>x</em>, and

-2<em>x</em>² (<em>x</em> - 2) = -2<em>x</em>³ + 4<em>x</em>²

Subtract this from the previous remainder to get a new remainder of

(-2<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) - (-2<em>x</em>³ + 4<em>x</em>²) = -5<em>x</em>² + 9<em>x</em> + 5

-5<em>x</em>² = -5<em>x</em> • <em>x</em>, and

-5<em>x</em> (<em>x</em> - 2) = -5<em>x</em>² + 10<em>x</em>

Subtract this from the last remainder to get a new one of

(-5<em>x</em>² + 9<em>x</em> + 5) - (-5<em>x</em>² + 10<em>x</em>) = -<em>x</em> + 5

-<em>x</em> = -1 • <em>x</em>, and

-1 (<em>x</em> - 2) = -<em>x</em> + 2

This gives a new remainder of

(-<em>x</em> + 5) - (-<em>x</em> + 2) = 3

3 does not divide <em>x</em>, so we're done.

So, we have

(3<em>x</em>⁴ - 8<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) / (<em>x</em> - 2) = 3<em>x</em>³ - 2<em>x</em>² - 5<em>x</em> - 1 + 3/(<em>x</em> - 2)

7 0
3 years ago
What is the area, in square centimeters, of the isosceles trapezoid below?
Lostsunrise [7]
[(14,7 + 5,9) x 5,8] / 2 = 59,74 cm^2
5 0
3 years ago
Multiple Choice
Delvig [45]

Answer:

The answer is B

Step-by-step explanation:

The formal is A = a+b/2 time h

You just substitute the variables and get the answer

8 0
2 years ago
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