Which equation has x=4 as the solution

Which solution is correct? Be sure to check for extraneous solutions.

denis23 [38]

That answer is d)x=-4

4 0

2 years ago

SOMEONE PLEASE HELP ME WITH THIS AND EXPLAIN EACH ONE AND HOW YOU DID IT PLEASE MY TEACHER SUCK AND ILL GIVE YOU BRAINLY IF U GE

valentinak56 [21]

Answer:

a)

d)

Step-by-step explanation:

It's easiest to reduce each statement to its simplest form for comparison

Our test statement can be reduced by combining like terms

16x - 12 -24x + 4 = -8x - 8

this becomes our new gold standard

a) 4 + 16x - 12(1 + 2x)

apply the distributive property by multiplying terms in parenthesis by -12

4 + 16x - 12 - 24x

combine terms

-8x - 8 Yeaah, We have a winner as it exactly matches our gold standard.

b) 40x - 16 is already in simplest terms and does NOT match the gold standard.

c) 16x - 24x - 4 + 12

has the same cardinal values as the original, but differing signs, reducing gives -8x + 8

Not quite the same as a plus sign occurs where a negative exists in our gold standard.

d) -8x - 8 is already in simplest terms and exactly matches our gold standard. Yeah!

e) 10(1.6x - 1.2 - 2.4x + 4)

apply distributive property by multiplying each term in parenthesis by 10

16x - 12 - 24x + 40

combine like terms

-8x + 28 does NOT match our gold standard

5 0

2 years ago

Write 1:24 p.m. in a 24- hour time format

Reika [66]

13:24 Hope this helps

3 0

3 years ago

Read 2 more answers

Order √2, 2π, 0.8 Please help ASAP

Mrrafil [7]

Answer:

0.8,√2,2π

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

find the number of terms in an AP given that its first and last terms are 13 and - 23 respectively and that its common differenc

Leokris [45]

Answer:

There are 17 terms in the sequence

Step-by-step explanation:

Arithmetic Sequence

An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

$a_n=a_1+(n-1)r$

Where an is the nth term, a1 is the first term, and r is the common difference.

In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

$\displaystyle n=1+\frac{a_n-a_1}{r}$

We need to express r as an improper or proper fraction:

$\displaystyle r=-2\frac{1}{4}=-2-\frac{1}{4}=-\frac{9}{4}$

Substituting:

$\displaystyle n=1+\frac{-23-13}{-\frac{9}{4}}$

$\displaystyle n=1+\frac{-36}{-\frac{9}{4}}$

$\displaystyle n=1+36*\frac{4}{9}=17$

n=17

There are 17 terms in the sequence

5 0

3 years ago