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1 year ago

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

1 answer:

Hitman42 [59]1 year ago

6 0

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

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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
-1=b

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]

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We move all terms to the left:

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

Domain of the equation: 625)^(2x-13))!=0

x∈R

We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator

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

We add all the numbers together, and all the variables

(5^(x+7))*625)^(2x-12))-((=0

We add all the numbers together, and all the variables

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

not sure if this is right :/

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3 years ago

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