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KengaRu [80]
1 year ago
5

Write the quadratic equation whose roots are, -4 and 6 and whose leading coefficient is 4

Mathematics
1 answer:
Hitman42 [59]1 year ago
6 0

\begin{cases} x=-4\implies &x+4=0\\\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+4)(x-6)=\stackrel{y}{0} \\\\\\ (x^2-2x-24)=\stackrel{y}{0}\implies 4(x^2-2x-24)=\stackrel{y}{0}\implies {\Large \begin{array}{llll} 4x^2-8x-96=y \end{array}}

Check the picture below.

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48.76 + 22.98 + 7.53 = to the nearest whole number
dimulka [17.4K]
<span>48.76 + 22.98 + 7.53 = 79.</span>
8 0
3 years ago
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Help I can not figure this out at all even my older kids tried
Semenov [28]
Don't repost because somebody will answer (probably)

we got some points
normally it is like
y=mx+b
find m and x
if we assume they are in a straight line
m is slope and b is y intercept
ok so we see the slope betwee (6,11) and (3,5) is 2
because slope between (x1,y1) and (x1,y1) is (y2-y1)/(x2-x1)

y=2x+b
if we solve for b we get
hmm
5=2(3)+b
5=6+b
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y=2x-1


so double x and minus 1 to get y
10*2=20, 20-1=19


23=2x-1
24=2x
12=x

the missing points are 19 on right side and 12 on left
rule is y=2x-1 or
2x-y=1
4 0
3 years ago
The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface
never [62]

Answer:

2\sqrt{2}\ ft\ longer

Step-by-step explanation:

<u>Area Of A Cube </u>

Suppose a cube with side length s, the area of one side is

A_s=s^2

Since the cube has 6 sides, the total area is

A=6A_s=6s^2

But if we have the area, we can solve the above formula for s to get

A=6s^2

\displaystyle s=\sqrt{\frac{A}{6}}

We have two different cubes with areas 1,200 square inches and  768 square inches. Let's compute their side lengths

\displaystyle s_1=\sqrt{\frac{1,200}{6}}=\sqrt{200}

\displaystyle s_1=10\sqrt{2}\ ft

\displaystyle s_2=\sqrt{\frac{768}{6}}=\sqrt{128}

\displaystyle s_2=8\sqrt{2} ft

The difference between them is

10\sqrt{2}\ ft-8\sqrt{2}\ ft=2\sqrt{2}\ ft\approx 2.83\ ft

The side of the cube with area 1,200 square inches is 2\sqrt{2}\ ft longer then the side of the cube with area 768 square inches

7 0
3 years ago
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X = 11 when y = 99. If y varies directly as x, find x when y = 144
goldenfox [79]

Answer:

99 is 9 times 11 144 divide by 9 is 16

4 0
3 years ago
PLZ HELP 70 POINTS!!!!!
marin [14]

5^(x+7)=(1/625)^(2x-13)


We move all terms to the left:


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x∈R



We add all the numbers together, and all the variables


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We multiply all the terms by the denominator



(5^(x+7))*625)^(2x+1-13))-((=0


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We add all the numbers together, and all the variables


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not sure if this is right :/


8 0
3 years ago
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