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3 years ago

Solutions for 4x^2+12x+9=25

Mathematics

1 answer:

boyakko [2]3 years ago

3 0

Answer:

4x^2 +12x +9 -25=0

4x^2+12x-16=0

(2x+8)(2x-2)=0

2x+8=0 2x-2=0

X=-4 X=1

Step-by-step explanation:

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5.140 greater, less than or equal to 5.410

Reika [66]

Answer:

5.140 is less than 5.410

Step-by-step explanation:

Because the 4 next to the 5 is greater tan the 1 hope i helped

8 0

3 years ago

The cost of a dinner is $8.99. If you pay 8% in tax and leave 15% tip on the cost of dinner only. What is the total cost of your

levacccp [35]

Your total cost is ...
(dinner cost) + 8% * (dinner cost) + 15% * (dinner cost)
= (dinner cost)*(1 + .08 + .15)
= 1.23*(dinner cost)
= 1.23 * $8.99 = $11.06

The total cost of your meal is $11.06.

3 0

3 years ago

The equation for this linear function is h= -100t + 4000. Determine the t-intercept. What is its significance in this situation?

natima [27]

H= -100t + 4000
To find <span>the t-intercept ⇒⇒⇒ ∴ h = 0
-100 t + 4000 = 0
∴ t = 4000/100 = 40

The correct choice is (c)
</span>
<span>c. (40, 0); The jet lands in 40 seconds.</span>

5 0

3 years ago

F(x, y, z) = yz i + xz j + (xy + 18z) k c is the line segment from (1, 0, −1) to (5, 6, 1) (a) find a function f such that f = ∇

bearhunter [10]

$\nabla f(x,y,z)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j+\dfrac{\partial f}{\partial z}\,\mathbf k=\mathbf f(x,y,z)$

$\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx=\int yz\,\mathrm dx$
$\implies f(x,y,z)=xyz+g(y,z)$
$\dfrac{\partial f}{\partial y}=xz+\dfrac{\partial g}{\partial z}=xz$
$\implies\dfrac{\partial g}{\partial z}=0$
$\implies g(y,z)=h(z)$

$\dfrac{\partial f}{\partial z}=xy+\dfrac{\mathrm dh}{\mathrm dz}=xy+18z$
$\implies\dfrac{\mathrm dh}{\mathrm dz}=18z$
$\implies h(z)=9z^2+C$

$\implies f(x,y,z)=xyz+9z^2+C$

$\implies\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(5,6,1)-f(1,0,-1)=30$

6 0

3 years ago

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2.If there were 17

OlgaM077 [116]

Answer:

2955

Step-by-step explanation:

The ratio of yes votes to no votes is 3:2.

The total ratio is:

3 + 2 = 5

Let the total number of votes be x.

The number of yes votes was 1773. This means that:

3/5 * x = 1773

3x = 1773 * 5

x = (1773 * 5) / 3

x = 2955 votes.

There were 2955 votes in total.

6 0

3 years ago