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4 years ago

Use the formula to evaluate the infinite series. Round to the nearest hundreth if necessary.

Mathematics

1 answer:

zalisa [80]4 years ago

3 0

Answer:

Step-by-step explanation:

The first term is the value of the term when n=1. It is 3. The common ratio is is the value being raised to the power of (n-1). It is 1/4. Put these numbers into the formula and do the arithmetic

S = 3/(1 -1/4) = 3/(3/4) = 3·4/3 = 4

The sum is 4.

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Will give brainliest! Probability

alex41 [277]

Answer:

1/49

Step-by-step explanation:

You wrote the problem correctly. You just needed to multiply instead of add.

1/7*1/7=1/49

So the answer is 1/49.

3 0

3 years ago

Read 2 more answers

Use the grouping method to factor x³ + x² + 3x+3.

Annette [7]

Answer:

D. $(x + 1)(x^2 + 3)$

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms.

<h3>Factor by Grouping</h3>

$x^2 + x^2 + 3x + 3$
$x^2(x + 1) + 3(x + 1)$
$(x^2 + 3)(x + 1)$

Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.

In the second step, we can see that we can rewrite $x^3 + x^2$ as $x^2(x + 1)$ , as both the two terms share a common factor of $x^2$ . We can pull out $x^2$ from that expression. Similarly, $3x$ and $3$ share a common factor of $3$ , so we can pull that out.

8 0

2 years ago

jenns age is 3 years less than marks age the sum of their ages is 30 let m be marks age find Jenna age

melamori03 [73]

Answer:

you could do 27+x=30

Step-by-step explanation:

7 0

3 years ago

Use the quadratic formula to solve for x. 4x2 +9x-1=0

insens350 [35]

Answer:

$x=\frac{-9\pm\sqrt{65} }{8}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define

4x² + 9x - 1 = 0

Step 2: Define variables

a = 4

b = 9

c = -1

Step 3: Find roots

Substitute: $x=\frac{-9\pm\sqrt{9^2-4(4)(-1)} }{2(4)}$
Exponents: $x=\frac{-9\pm\sqrt{81-4(4)(-1)} }{2(4)}$
Multiply: $x=\frac{-9\pm\sqrt{81-16} }{8}$
Subtract: $x=\frac{-9\pm\sqrt{65} }{8}$

5 0

3 years ago

HEY PLEASE I NEED HELP IM OFFERING 30 POINTS

Levart [38]

Answer:

the first option, (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

8 0

3 years ago