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zheka24 [161]
3 years ago
9

Is y=4x+6 And -8x+2y=12 independent dependent or inconsistent

Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0
I hope this helps you



-8x+2. (4x+6)@=12



-8x+8x+12=12


12=12


0=0
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Question 9 (5 points)
Sunny_sXe [5.5K]

to get the equation of any straight line, we simply need two points off of it, let's use those two points from the table in the picture below.

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-17}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-17}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-30}{6 +4} \implies \cfrac{ -30 }{ 10 }\implies -3

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{-3}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-13=-3(x+4)\implies y-13=-3x-12\implies y=-3x+1

8 0
2 years ago
Astore pays $927.40 for a water heater and marks the price up by 5%. What is the new price?
Slav-nsk [51]

Answer:

$973.77

Step-by-step explanation:

$927.40 = 100%

New price = 100% + 5%

New price = 105% of 927.40

105% of 927.40 = 1.05(927.40)

1.05(927.40) = 973.77

-Chetan K

8 0
3 years ago
Gabriella needs a mason and must decide between 2 companies. For a service visit, Company A charges $65 to send a mason plus $30
Kamila [148]
So first we write out their respective charges
A=65+30x (x=hours of A)
B=30+47.5y (x= hours of B)

we want to know when A and B are equal so just set them to be equal

65+30x=30+47.5x
subtract 30 from both sides
35+30x=47.5x
multiplyboth sides by 2 to get rid of the nasty decimal
70+60x=95x
subtract 60x from both sides
70=35x
divide both sides by 35
2=x
they must work 2 hours for them to be equal

7 0
3 years ago
Read 2 more answers
Which of the following equations is written in standard form ? A. 2.5x+3=12 B. -10x-3=1 C. 2x+3=12 D. 5x+5y=10
muminat
D. 5x+5y=10

The other 3 could be simplified further and have no y value.

Hope that helps
8 0
3 years ago
The concentration C (in mg/dl), of an antibiotic in a patient’s bloodstream per hour, t, is given by:
lilavasa [31]

We want the concentration of the antibiotic to be at a minimum of 5 mg/dL, so we want to find the time interval, where t>0, for which C(t)\ge5.


We have


\dfrac{55t}{t^2+25}\ge5\iff55t\ge5t^2+625\iff t^2-11t+25\le0


Completing the square, we get


t^2-11t+\dfrac{121}4-\dfrac{121}4+25\le0\iff\left(t-\dfrac{11}2\right)^2\le\dfrac{21}4


\implies\left|t-\dfrac{11}2\right|\le\dfrac{\sqrt{21}}2


\implies-\dfrac{\sqrt{21}}2\le t-\dfrac{11}2\le\dfrac{\sqrt{21}}2


\implies\dfrac{11-\sqrt{21}}2\le t\le\dfrac{11+\sqrt{21}}2

4 0
3 years ago
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