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2 years ago

8x + 6y = 10

2 answers:

6 0

It could be D or C
The system has two solutions
x = .8 y = .6

OR if you think about it , (x=.8 y=.6) could be considered THE solution.
I would go with choice C

Nitella [24]2 years ago

5 0

Here, Multiply second equation by 2,
10x - 6y = 4.4

Now, Add both the equations,
18x = 14.4
x = 14.4 / 18
x = 0.8

Substitute it in 2nd equation,
5(0.8) - 3y = 2.2
-3y =2.2 - 4
y = 1.8/3
y = 0.6

Solution of the system of Equation is: (0.8, 0.6)

In short, Your Answer would be Option C

Hope this helps!

You might be interested in

The figure below shows the graph of f ', the derivative of the function f, on the closed interval from x = -2 to x = 6. The grap

wolverine [178]

Answer:

x = -2

Step-by-step explanation:

From x = -2 to x = 5, f' is negative. That means f is decreasing.

From x = 5 to x = 6, f' is positive. That means f is increasing.

The negative area (between x = -2 and x = 5) is larger than the positive area area (between x = 5 and x = 6). That means f decreases more than it increases.

So f is an absolute maximum at x = -2.

6 0

2 years ago

1,250 an 15% sale an 6.5 sales tax

eimsori [14]

Given:
price = 1,250
sales discount = 15%
sales tax = 6.5%

The problem is unclear whether the price is the original price or the discounted price. I am assuming that the price is the original price.

Original price times sales discount rate is the value of sales discount
1,250 x 15% = 187.50

Original price less the value of sales discount is the discounted price.
1,250 - 187.50 = 1,062.50

Discounted price times sales tax rate is the value of the sales tax
1,062.50 x 6.5% = 69.06

Discounted price plus sales tax is the total cost of the purchase
1,062.50 + 69.06 = 1,131.56

4 0

2 years ago

A flat circular plate has the shape of the region x squared plus y squared less than or equals 1x2+y2≤1. the plate, including t

vredina [299]

You're looking for the extreme values of $x^2+3y^2+13x$ subject to the constraint $x^2+y^2\le1$ .

The target function has partial derivatives (set equal to 0)

$\dfrac{\partial(x^2+3y^2+13x)}{\partial x}=2x+13=0\implies x=-\dfrac{13}2$

$\dfrac{\partial(x^2+3y^2+13x)}{\partial y}=6y=0\implies y=0$

so there is only one critical point at $\left(-\dfrac{13}2,0\right)$ . But this point does not fall in the region $x^2+y^2\le1$ . There are no extreme values in the region of interest, so we check the boundary.

Parameterize the boundary of $x^2+y^2\le1$ by

$x=\cos u$

$y=\sin u$

with $0\le u$ . Then $t(x,y)$ can be considered a function of $u$ alone:

$t(x,y)=t(\cos u,\sin u)=T(u)$

$T(u)=\cos^2u+3\sin^2u+13\cos u$

$T(u)=3+13\cos u-2\cos^2u$

$T(u)$ has critical points where $T'(u)=0$ :

$T'(u)=-13\sin u+4\sin u\cos u=\sin u(4\cos u-13)=0$

$(1)\quad\sin u=0\implies u=0,u=\pi$

$(2)\quad4\cos u-13=0\implies\cos u=\dfrac{13}4$

but $|\cos u|\le1$ for all $u$ , so this case yields nothing important.

At these critical points, we have temperatures of

$T(0)=14$

$T(\pi)=-12$

so the plate is hottest at (1, 0) with a temperature of 14 (degrees?) and coldest at (-1, 0) with a temp of -12.

4 0

1 year ago

Juan invest $3700 in a simple interest account at a rate of 4% for 15 years

OleMash [197]

Question:

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

Answer:

There will be $ 5920 in account after 15 years

Solution:

The simple interest is given by formula:

$S.I = \frac{p \times n \times r }{100}$

Where,

p is the principal

n is number of years

r is rate of interest

From given,

p = 3700

r = 4 %

t = 15 years

Therefore,

$S.I = \frac{3700 \times 4 \times 15 }{100}\\\\S.I = 37 \times 4 \times 15\\\\S.I = 2220$

How Much Money Will Be In The Account After 15 Years?

Total money = principal + simple interest

Total money = 3700 + 2220

Total money = 5920

Thus there will be $ 5920 in account after 15 years

8 0

2 years ago

The table below shows the functions to represent the sale f(t), in thousands, of four companies in t years.

Tcecarenko [31]

Hi there

the companies showed an exponential growth in sale are

Company C with
f(t) = 1.26t

Company D with
f(t) = 1.09t

Because
1+r where r is the rate of growth

the rate of growth of Company c is 1+26%

The rate of growth of company D is
1+9%

So it's option d

Good luck!

4 0

1 year ago