Please Help c:What are the solutions to the following system of equations?
y = x2 + 12x + 30
8x − y = 10

(−4, −2) and (2, 5)

(−2, −4) and (2, 5)

(−2, −4) and (5, 2)

No Real Solutions

Answers

Answer 1

Answer: 2nd equation:
8 x-y=10 ⇒ y= 8 x-10
We will switch that in 1st equation:
8 x-10=x²+12 x+30, or:
x² + 4 x +40 = 0, a=1,B=4, c=40
Discriminant : D= b² - 4 ac= 16 - 160 = -144 and because it is negative there are no real solutions.
Answer: D)

Answer 2

Answer: Hello,

y=x²+12x+30
y=8x-10

==>x²+12x+30=8x-10
==>x²+4x+40=0
Δ=16-4*40<0 ==> no real solutions.

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Classify the system of equations.2x = 5 - y
-3+y = -2x + 3
Click on the correct answer.
coincident
intersecting
parallel

Answers

Answer:

Parallel

Step-by-step explanation:

What is 2% of $230,000

Answers

if you set it up to cross multiply you do 230,000*2=460,000

then you divide by 100 and get your answer of 4600$

2% of 230000
we make the 2% to deckmal
.02 * 230000
=4600

= Find the slope of a line that goes through the (-3,2) and (1,5)PLz helpp Im confused on this

Answers

Answer:

The slope is $(3)/(4)$ .

Step-by-step explanation:

$m=(rise)/(run)=(5-2)/(1+3)=(3)/(4)$

Hope this helps.

Answer:

-2/3 (fraction)

Step-by-step explanation:

25% of 68000 is how much

Answers

$1 \% =(1)/(100) \n \n25 \% =(25)/(100)=0,25\n \n25 \% \cdot 68000 = 0,25 \cdot 68000 =17 000$

$25\%\ of\ 68000= (25)/(100) \cdot 68,000= 25\cdot680=17,000$

Discriminant of 9x^2+12x+4=0

Answers

$the\ discriminant\ of\ ax^2+bx+c=0:\ \ \ \ \Delta=b^2-4\cdot b\cdot c \n---------------------------\n9x^2+12x+4=0\ \ \ \Rightarrow\ \ \ \Delta=12^2-4\cdot9\cdot4=144-144=0\n\n\Delta=0\ \ \ \Rightarrow\ \ \ x_0=- (b)/(2a) =- (12)/(2\cdot9) =- (2\cdot2\cdot3)/(2\cdot3\cdot3)= - (2)/(3) \n\nAns.\ The\ discriminant\ is\ \Delta=0$

$9x^2+12x+4=0\n\n(3x)^2+2\cdot3x\cdot2+2^2=0\n\n(3x+2)^2=0\iff3x+2=0\n\n3x=-2\ \ \ /:3\n\nx=-(2)/(3)\n\n-------------------------------\n\n(a+b)^2=a^2+2ab+b^2$