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3 years ago

10 Points for Answering Find x: 6x-8= 1/2 (4x+5)

Mathematics

2 answers:

Elena L [17]3 years ago

8 0

Answer:

Combine multiplied terms into a single fraction

6−8=12(4+5)

6−8=1(4+5)2

Multiply by 1

6−8=1(4+5)2

6−8=4+52

Add

888

to both sides of the equation

6−8=4+52

6−8+8=4+52+8

10 more steps

Solution

=21/8

Step-by-step explanation:

Yanka [14]3 years ago

4 0

6x-8=1/2(4x+5)
6x= 2x+5/2+8
6x-2x=5/2+8
12x-4x=5+16
8x = 21
X= 21/8

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A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in

Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

$s(t) =16t^2+32t$

We can replace there s = 215 ft to get

$215=16t^2+32t$

Solving for the time t.

From the previous equation we can move all terms in one side to get

$16t^2+32t-215=0$

At this point we can solve for t using quadratic formula.

$t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

where a, b and c are the coefficients of the quadratic equation

$at^2+bt+c=0$

So we get

$a=16\\b=32\\c=-215$

Replacing on the quadratic formula we get

$t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}$

Using a calculator we get

$t=-4.8 , t = 2.8$

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

3 0

3 years ago

Order the group of quadratic functions from widest to narrowest graph.

mr_godi [17]

Answer:Easy peasy lemon squeezy ahaha

Step-by-step explanation:

Vertex of g (6,23)

Axis of symmetry is 6

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4 0

3 years ago

Please help ASAP (a lot of points ) show your work please

allsm [11]

Answer :-

1. value of x is 18

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3 years ago

One-third of a storeâs inventory is childrenâs clothing. Two-fifths of its inventory is womenâs clothing. What fraction of the t

Eva8 [605]

Answer: C. 11/15

Step-by-step explanation:

Given : The fraction of stores inventory is children's clothing= $\dfrac{1}{3}$

The fraction of stores inventory is women's clothing= $\dfrac{2}{5}$

Since both events are independent.

Therefore, the fraction of the total inventory is children's or women's clothing = (Fraction of stores inventory is children's clothing ) + (Fraction of stores inventory is women's clothing )

$=\dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5+2(3)}{15}$

$=\dfrac{11}{15}$

∴ The fraction of the total inventory is children's or women's clothing $=\dfrac{11}{15}$

Hence, the correct answer is C. 11/15 .

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Helen [10]

Answer:
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