All categories

3 years ago

Y = x2 + 12x + 30 8x − y = 10

1 answer:

3 0

So you need the solve for x and y ?

from 8x-y = 10,
y = 8x -10

Plug this in other equation.
8x-10 = x^2 +12x + 30

Re-arrange and combine like terms,
x^2 +12x -8x +30+10 = 0
x^2 +4x +40 = 0

This does not have any real solutions.
So there are no real values of x and y satisfying the 2 equations.

Are you sure the question is correct? or if this question belongs to complex numbers topic?

You might be interested in

Machine M, working alone at its constant rate, produces x widgets every 4 minutes. Machine N, working alone at its constant rate

Harman [31]

Answer:

Yes

Step-by-step explanation:

Given that Machine M, working alone at its constant rate, produces x widgets every 4 minutes. Machine N, working alone at its constant rate, produces y widgets every 5 minutes.

When both machines work for 20 minutes

Machine A would produce = $\frac{20}{4} =5$ widget and

Machine B would produce = $\frac{20}{5} =4$ widgets

So we can say that Machine A would produce more widgets than Machine N at that time.

Answer is Yes

8 0

3 years ago

In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the re

Ronch [10]

Answer:

REQUIRED TEST STATICS IS 35.19

Step-by-step explanation:

total size of sample = 10,000

men women

voted 2777 3466

did not vote 1444 2313

By chi square test we can find the relationship between gender and participation in the election

$X^2 = \frac{ N(ad-bc)^2}{(a+c)(b+d)+(a+b)(c+d)}$

where

a represent = 2777, b = 3466, c= 1444, d = 2313, N = 10000

Putting values to get chis square statics

$X^2 = \frac{ 10000(2777*2313-3466*1444)^2}{(2777+1444)(3466+2313)+(2777+3466)(1444+2313)}$

$X^2 = = 35.159$

HENCE REQUIRED TEST STATICS IS 35.19

3 0

4 years ago

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the intercept. The intercept of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .

See the attachment for a plot of the line.

7 0

3 years ago

Find the area of the shaded region

melamori03 [73]

LxW 5x5=25 If you know one side is five than the other side is 52 because they’re both equal its the radius compared to the diameter radius is five the diameter is 10

5 0

3 years ago

Read 2 more answers

This bar graph shows the money earned from the sale of skateboards one Saturday at four stores. What can you tell from the infor

-BARSIC- [3]

Answer:

its D <3

Step-by-step explanation:

hope this helps :)

6 0

3 years ago

Read 2 more answers