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marusya05 [52]
3 years ago
6

5x^2-4x=6 solve for x

Mathematics
1 answer:
ikadub [295]3 years ago
8 0
Let's solve your equation step-by-step.<span><span><span><span>5x</span><span>(2)</span></span>−<span>4x</span></span>=6</span>Step 1: Simplify both sides of the equation.<span><span><span><span>5x</span><span>(2)</span></span>−<span>4x</span></span>=6</span><span>Simplify: (Show steps)</span><span><span><span><span>10x</span>+</span>−<span>4x</span></span>=6</span><span><span>(<span><span>10x</span>+<span>−<span>4x</span></span></span>)</span>=6</span>(Combine Like Terms)<span><span>6x</span>=6</span><span><span>6x</span>=6</span>Step 2: Divide both sides by 6.<span><span><span>‌<span><span>6x</span>6</span></span>‌</span>=<span><span>‌<span>66</span></span>‌</span></span><span>x=1</span>Answer:<span>x=<span>1</span></span>
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On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took
dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

\dfrac{1116.5+r}{12}=98.04

We can now solve for r algebraically, first by multiplying both sides by 12:

1116.5+r=98.04(12)\\1116.5+r=1176.48

And then subtracting 1116.5 from both sides:

r=1176.48-1116.5\\r=59.98

6 0
3 years ago
Write as an algebraic expression and then simplify if possible :<br><br> the sum of x and x+3
antiseptic1488 [7]

Answer:

2x + 3.

Step-by-step explanation:

x + x + 3

= 2x + 3.

4 0
2 years ago
Read 2 more answers
Find the equation for parabola<br> Focus(3,4)<br> Directrix y=2
sveta [45]

Answer:

Step-by-step explanation:

we know that distance d from the focus to P should be the same to the distance from P to the directrix

(x-h)^2=4p(y-k)

we need to find the y coordinate,

x is the same from focus, 3

y=(3, (4+2)/2)=(3,3)

we find p now by subtracting the y from the focus from the y that we just found

p=4-3=1

again (x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  (x-3)^2=4y-12

simplify

4y=(x-3)^2+12

y=((x-3)^2)/4 + 3

4 0
3 years ago
Read 2 more answers
Select the best possible first step to solving the system by first eliminating the x variable.
zheka24 [161]
It seems to be none of the above
3 0
3 years ago
Please help me I’m so lost
kogti [31]

Answer:

331.4

Step-by-step explanation:

Side length (a)

8.284

yd

Perimeter

66.27

yd

Area

331.4

yd²

Longest diagonal (l)

21.65

yd

Medium diagonal (m)

20

yd

Shortest diagonal (s)

15.307

yd

Circumcircle radius (R)

10.824

yd

Incircle radius (r)

10

yd

8 0
3 years ago
Read 2 more answers
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