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Alex73 [517]
3 years ago
6

This system has one solution what is the y coordinate of the solution y= -2x+4 y= x^2 +4x+13

Mathematics
1 answer:
prohojiy [21]3 years ago
8 0
Hello : the system is :
<span> y= -2x+4 ...(1)
y= x² +4x+13....(2)
x²+4x+13 = -2x+4
x²+6x+9=0
(x+3)² =0
x+3=0
x= -3 
subsct in (1) : y=-2(-3)+4 =10</span>
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A map is drawn using a scale of 40 kilometers to 1 centimeter. The distance between two cities is 300 kilometers. How far apart
Morgarella [4.7K]

Answer:

7.5 cm

Step-by-step explanation:

40:1

× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm

sorry if its incorrect

8 0
2 years ago
A survey of 100 people in New York City, NY found that.
S_A_V [24]

Answer: 0.9

Step-by-step explanation:

\mathrm{Total \ sample \ space \ $=100$} \\\mathrm{Event \ $A = \ taking \ subway \ each \ day}$$P(A)=0.85$$Event $B=$ taking taxi $\because P(B)=0.6$$$P(A \cap B)=0.55$$

\begin{aligned}P(A \cup B) & \Rightarrow \text { Person taking either taxi/subway } \\&=P(A)+P(B)-P(A \cap B) \\&=(0.85-0.555)+(0.6-0.55)-0.55 \\&=1.45-0.55\\&\bf{=0.9} \end{aligned}

7 0
2 years ago
Find p and q for which the linear eqn has infinite solutions
jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒  y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0
3 years ago
Solve the following system of equations graphically on the set of axes below Y= -2x - 7 Y= 3x - 2
elixir [45]

Answer:

x=−1 and y=−5

Step-by-step explanation:

hope this helps

3 0
3 years ago
Can someone solve this pls???
ra1l [238]
I’m pretty sure it’s B because if you look at the chart it says time and distance
4 0
3 years ago
Read 2 more answers
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