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3 years ago

How many real solutions does the system have? y=−3x−1y=x2−3x+4?

1 answer:

8 0

Set the equations to equal each other:
x²-3x+4=-3x-1
x²-3x+3x+4=-3x+3x-1
x²+4=-1
x²+4-4=-1-4
x²=-5
√x²=√-5
x=-√5i and x=√5i

There are no real solutions.

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ou and a friend are heading to the movies. You each buy a ticket and you also want to buy some refreshments. The total cost of a

liubo4ka [24]

Answer:

Expression: $7.50x + 15.50 = y Total Cost: $30.50

Step-by-step explanation:

x goes next to 7.50 because it is 7.50 per person, which makes it a variable that varies and can change.

since the expression is $7.50x + 15.50 = y, we just plug x in for 2 because he and his friend are going which is 2 people.

7.50(2) + 15.50 = 30.50

8 0

2 years ago

What is the least common denominator of 4/7, 5/14, and 4/15.

lukranit [14]

Answer:

210

Step-by-step explanation:

Rewriting input as fractions if necessary:

4/7, 5/14, 4/15

For the denominators (7, 14, 15) the least common multiple (LCM) is 210.

LCM(7, 14, 15)

Therefore, the least common denominator (LCD) is 210.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

4/7 = 4/7 × 30/30 = 120/210

5/14 = 5/14 × 15/15 = 75/210

4/15 = 4/15 × 14/14 = 56/210

3 0

3 years ago

Find the 11th term of the geometric sequence 6, -18, 54<br> AYUDEN CHUCHA

otez555 [7]

Step-by-step explanation:

T1=a

T2=ar

r=T2÷T1

r=--18÷6

r=-3

T11=ar^10

T11=6×-3^10

T11=-354294

8 0

4 years ago

Read 2 more answers

A bridge underpass in the shape of an elliptical arch, that is, half of an ellipse, is 40 feet wide and 13 feet high. An eight f

Liula [17]

Answer:

the truck should not be higher than 12.934 ft

Step-by-step explanation:

if the bridge underpass is half of an ellipse , then the arch function will be B(x,y) such that

x²/a² + y²/b² = 1 , for x≥0 and y≥0 and y=0 for x≤0

where x= width , y= height

for

a= length of the bridge underpass = 40 ft

b= height of the bridge underpass = 13 ft

x²/(40 ft)² + y²/(13 ft)² = 1

that represents all the points of the arch

the maximum height is reached when the truck touches the arch, then

for a point x= 4 ft wide , since 8 foot wide represents 4 foot to the left (x=-4) and 4 foot to the right (x=4)

then

(4 ft)²/(40 ft)² + y²/(13 ft)² = 1

1/100 - y²/(13 ft)² = 1

y/13 ft = √(1-1/100) = 3/10*√11

y= 3/10*√11 * 13 ft = 12.934 ft

y= 12.934 ft

then the truck should not be higher than 12.934 ft

7 0

3 years ago

Can someone pls help for brainlest

trapecia [35]

Answer:

The area of the shaded region= 37.68

Step-by-step explanation:

Area of the outer circle= 2* 3.14* 36 (Area of the circle=2 $\pi$ r)

=113.04

Area of the inner circle=2*3.14* 12

=75.36

Area of the shaded region= Area of the outer circle- Area of the inner circle

= 113.04- 75.36

=37.68

5 0

3 years ago