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3 years ago

Problem:2x+3 (x-4)=x-20

1 answer:

monitta3 years ago

6 0

Let's solve your equation step-by-step.2x+3(x−4)=x−20Step 1: Simplify both sides of the equation.2x+3(x−4)=x−20Simplify: (Show steps)5x−12=x−20Step 2: Subtract x from both sides.5x−12−x=x−20−x4x−12=−20Step 3: Add 12 to both sides.4x−12+12=−20+124x=−8Step 4: Divide both sides by 4.4x/4=−8/4x=−2Answer: x=−2

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The common ratio of a geometric series is \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction and the sum of the first

myrzilka [38]

Answer:

The common ratio of a geometric series is \dfrac14

start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

$r = \frac{1}{4}$

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

$s_n=\frac{a_1(1-r^n)}{1-r}$

common ratio, n=4 and equate to 170.

$\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170$

$\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4} \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2} \\\\\frac{1}{256} a_1 = \frac{1}{2} \\\\ a_1 = \frac{1}{2} \times 256\\\\a_1 = \frac{1}{2} \times 256 \\\\= 128$

8 0

3 years ago

The solution for x2 + 2x + 8 ≤ 0 is

Marina CMI [18]

Answer:

Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.

Let's solve this by completing the square:

x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:

(x + 1)^2 + 7 ≤ 0

Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)

Then the solutions are x = -1 + i√7 and x = -1 - i√7

There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.

5 0

2 years ago

Read 2 more answers

Help! Il give brainlest

Readme [11.4K]

Answer:

180 miles

Step-by-step explanation:

6 gallons is 2x as many gallons as 3 gallons so the distance he can drive is 2x the original distance.

2x90 miles=180 miles

7 0

3 years ago

The price of a bottle of shampoo was marked up 15%, then marked down 4%. If the original price was $4.50, what is the new price?

balandron [24]

Answer:

Cost of shampoo = $4.50

% Mark up of Shampoo = 15%

15% Mark up of Shampoo = 15/100 x $4.50 = $0.67

Price of Shampoo 15% Mark up = $4.50 + $0.67 = $5.17

% Mark down of Shampoo = 4%

4% Mark down of shampoo = 4/100 x $5.17 = $0.21

Price of Shampoo 4% Mark down = $5.17 - $0.21 = $4.96

Step-by-step explanation:

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3 years ago

The rule for a pattern is add 6. the first term is 5. write the first five terms in the pattern.

Alja [10]

11 17 23 29 and 35 sorry I couldn't use commas

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3 years ago