<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B216%7D%20" id="TexFormula1" title=" \sqrt[3]{216} " alt=" \sqrt[3]{216} "

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lara31 [8.8K]

3 years ago

align="absmiddle" class="latex-formula">

Mathematics

1 answer:

AleksAgata [21]3 years ago

8 0

reduce the index of the radical and exponent with 3, rhen you get your answer, 6

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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

4 0

3 years ago

Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).

Triss [41]

$f(x)=-4x+7\\
g(x)=10x-6\\\\\Substitute\ x=10x-6\ to\ f(x)\\
f(g(x))=-4(10x-6)+7\\
f(g(x))=-40x+24+7=-40x+31\\\\\
Solution\ is\ f(g(x))=-40x+31.$

8 0

3 years ago

5 Michiko has a metal container in the shape of a cuboid. The container is 2.4 m long, 1.2 m wide and 0.6 m high. Michiko plans

konstantin123 [22]

Answer:

a) Michiko needs to buy 18 tins of paint.

b) cost of paint would be $152.82

Step-by-step explanation:

Surface area of cuboid = 2lw + 2lh + 2hw

Length (l) = 2.4 m

Width (w) = 1.2 m

Height (h) = 0.6 m

SF = 2(2.4 × 1.2) + 2(2.4 × 0.6) + 2(0.6 × 1.2)

= 5.76 + 2.88 + 1.44

= 10.08 meter²

Paint coverage is 4.5 meter² per liter.

Total paint used in one coat =

= 2.24 liters

Paint used in double coats = 2.24 × 2 = 4.48 liters

a) Size of one tin paint = 250 ml

1 liters = 1000 ml

4.48 liters = 4.48 × 1000 = 4480 ml

Number of tins needed by Michiko =

= 17.92 ≈ 18 tins

b) Cost of one tin of metal paint = $8.49

∴ cost of 18 tins of paint = $152.82

a) Michiko needs to buy 18 tins of paint.

b) cost of paint would be $152.82

3 0

2 years ago

Anybody can give me the answer? Please

Shtirlitz [24]

b. One hundred and fifty (150) square feet

8 0

3 years ago

Please Help!<br> Order these from least to greatest.<br><br> 6.23, -√38, -19/3, -6.5555555...

Tanya [424]

Lol i dont know the answer but i love your profile pic again sorry

5 0

3 years ago

Read 2 more answers