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3 years ago

Write an inequality whose sign must be reversed in order to solve it.

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

Answer:

-4x + 24 ≥ 3x

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Find <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}" alt="a_{1}" align="absmiddle" class="latex-form

yKpoI14uk [10]

Answer:

$\displaystyle a_{1} = 108$

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

$\displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r}$

we are given that

$S_n=189$
$r=\dfrac{1}{2}$
$n=3$

thus substitute:

$\displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} }$

to figure out $a_1$ we need to figure out the equation

simplify denominator:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189$

simplify square:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189$

simplify substraction:

$\displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189$

simplify complex fraction:

$\displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189$

calculate reciprocal:

$\displaystyle a_{1} \frac{7}{8} \times 2 = 189$

reduce fraction:

$\displaystyle a_{1} \frac{7}{4} \ = 189$

multiply both sides by 4/7:

$\displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7}$

reduce fraction:

$\displaystyle a_{1} = 27\times 4$

simplify multiplication:

$\displaystyle a_{1} = 108$

hence,

$\displaystyle a_{1} = 108$

4 0

3 years ago

A spinner is labeled with the numbers 1,2,3,4,5,6,7,8, & 9.

Marat540 [252]

Answer:

Step-by-step explanation:

7 0

2 years ago

If y= -3, then 4+y/4y

Makovka662 [10]

Answer:

Step-by-step explanation:

if y = -3 then 4+(-3)/4(-3) would be 4-3 = -1 over -12 so -1/-12 or 1/12 -->B

3 0

3 years ago

ANSWER ASAP I WILL MAKE BRAINLYIST

aniked [119]

X+2y=4

+-x-4y=-14

——————

-2y=-10, y=5, x=4-10=-6

8 0

3 years ago

Read 2 more answers

Help me out on this question

jeyben [28]

Answer:

the third one

Step-by-step explanation:

5 0

3 years ago