Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. Enter the solution with the smaller x value first.

2 answers:

7 0

X+y+5=0
y=-x-5
If a solution exists y=y so we can say
x^2-9x+10=-x-5 add x+5 to both sides
x^2-8x+15=0 now factor
x^2-3x-5x+15=0
x(x-3)-5(x-3)
(x-5)(x-3) so x=3 and 5, using y=-x-5
y(3)=-8 and y(5)=-10
So the two solutions are:
(3,-8) and (5,-10)

Feliz [49]3 years ago

6 0

To solve the system, we need to set the two equations equal to each other. However, we need to manipulate the equations so they equal the same thing.
y=x^2-9x+10

x+y+5=0
y= -5-x

Now that we have two equations that both equal y, we can set them equal to each other and solve for x.
-5-x=x^2-9x+10
0=x^2-8x+15
0=(x-5)(x-3)
0=x-5 0=x-3
x=5 x=3

You might be interested in

PLEASE HELP Which of the following are true if event A and B are independent

makkiz [27]

Answer:

a) $P(B/A) = P(B)$

Step-by-step explanation:

Step(i):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

we will use the conditional probability

$P(A/B) = \frac{P(AnB)}{P(B)}$

$P(B/A) = \frac{P(AnB)}{P(A)}$

Step(ii):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

$P(B/A) = \frac{P(AnB)}{P(A)}$

$P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)$

$P(B/A) = P(B)$

3 0

3 years ago

If 35% of the 300 students in 6th grade have an older brother or sister, how many 6th graders have an older sibling? To solve th

kirza4 [7]

Answer:

105 students

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Seventy dash fiveSeventy-five percent of households say they would feel secure if they had $50,000 in savings. You randomly sel

Tresset [83]

A) 0.2076
B) 0.6786
C) 0.3214

Explanation:
A) $P(X=5)=_8C_5(0.75)^5 \times(1-0.75)^{8-5}
\\
\\=_8C_5(0.75)^5 \times (0.25)^3=0.2076$
B) We find the probability that X=6, 7, or 8:
$P(X=6)=_8C_6(0.75)^6(0.25)^2=0.3115
\\
\\P(X=7)=_8C_7(0.75)^7(0.25)^1=0.267
\\
\\P(X=8)=_8C_8(0.75)^8(0.25)^0=0.1001
\\
\\0.3115+0.267+0.1001=0.6786$
C) P(X≤5) = 1-P(X>5) = 1-0.6786 = 0.3214

5 0

3 years ago

which function has real zeros at x = −10 and x = −6? f(x) = x2 16x 60 f(x) = x2 − 16x 60 f(x) = x2 4x 60 f(x) = x2 − 4x 60

LiRa [457]

Answer:

Option A is correct

The function $x^2+16x+60$ has real zeroes at x =-10 and x =-6