1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lawyer [7]
3 years ago
5

How many solutions does this linear system have?

Mathematics
2 answers:
Elenna [48]3 years ago
4 0

Answer:

B- one solution: (1,-4)

Step-by-step explanation:

(1,-4)

y = -6x +2

-4 = -6(1) +2

-4 =-4

(1,-4)

-12x - 2y = -4

-12(1) -2(-4) = -4

-12 + 8 =-4

-4 = -4

if you put the value x and y into both equation you can find the solution

serg [7]3 years ago
3 0

Answer:

Hi there!

The correct answer is: D. Infinite number of solutions

Step-by-step explanation:

in this case you can use the substitution method to solve these linear equations

since y = -6x +2 you can plug this into the equation -12x -2y = -4

-12x - 2(-6x +2) = -4 this comes out to be -12x + 12x -4 = -4

then you simplify down to 0x=0

You might be interested in
John mows lawns. He can mow 7 lawns in 5 hours. At this rate, how long would it
sweet [91]
It will take him 30 hours
4 0
3 years ago
Two automobiles start together from the same place and travel along the same route. The first averages 40 miles
natita [175]

Answer:

A. (55 x 5) - (40 x 5)

Step-by-step explanation:

You are solving how much miles (further along) would the second car be after 5 hours.

The first car averages 40 miles per hour. 5 hours later, it will have averaged about 200 miles in 5 hours (40 x 5 = 200).

The second car averages 55 miles per hour. 5 hours later, it will have averaged about 275 miles in 5 hours (55 x 5 = 275)

Subtract: 275 - 200 = 75

The second car would have averaged 75 more miles than the first car.

~

4 0
3 years ago
Read 2 more answers
A pair of jeans that originally costs $42 is 25% off.Find the sale price.ASAP PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Anon25 [30]
Original Price = $42
Discount = 25%   ---------> 25% is discount because it says 25% <span><u />off!!!</span>
Now,
Sale price = original price - discount % of original price  
                 = 42 - 25% of 42 
                 = 42 - (25/100) * 42   
                 = 42 - 0.25 * 42 
                 = 42 - 10.5 
                 = 31.5

So, the sale price is $31.5
6 0
3 years ago
A rectangle has length 72 cm and it’s width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. Fi
Kryger [21]

A = l*w

A = 72* 56

A= 4032


4032 = L*21

4032/21 =L

L =192


5 0
3 years ago
WILL GIVE BRAINLIEST!!!!!
dimaraw [331]

1. f(x)=x²+10x+16

Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=1(As, a>0 the parabola is open upward), b=10. by putting the values.

-b/2a = -10/2(1) = -5

f(-b/2a)= f(-5)= (-5)²+10(-5)+16= -9

So, Vertex = (-5, -9)

Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+16, we get point (0,16).

Now find x-intercept put y=0 in the above equation. 0= x²+10x+16

x²+10x+16=0 ⇒x²+8x+2x+16=0 ⇒x(x+8)+2(x+8)=0 ⇒(x+8)(x+2)=0 ⇒x=-8 , x=-2

From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.

2. f(x)=−(x−3)(x+1)

By multiplying the factors, the general form is f(x)= -x²+2x+3.

Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(As, a<0 the parabola is open downward), b=2. by putting the values.

-b/2a = -2/2(-1) = 1

f(-b/2a)= f(1)=-(1)²+2(1)+3= 4

So, Vertex = (1, 4)

Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+3, we get point (0, 3).

Now find x-intercept put y=0 in the above equation. 0= -x²+2x+3.

-x²+2x+3=0 the factor form is already given in the question so, ⇒-(x-3)(x+1)=0 ⇒x=3 , x=-1

From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.

3. f(x)= −x²+4

Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(As, a<0 the parabola is open downward), b=0. by putting the values.

-b/2a = -0/2(-1) = 0

f(-b/2a)= f(0)= −(0)²+4 =4

So, Vertex = (0, 4)

Now, find y- intercept put x=0 in the above equation. f(0)= −(0)²+4, we get point (0, 4).

Now find x-intercept put y=0 in the above equation. 0= −x²+4

−x²+4=0 ⇒-(x²-4)=0 ⇒ -(x-2)(x+2)=0 ⇒x=2 , x=-2

From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.

4. f(x)=2x²+16x+30

Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=2(As, a>0 the parabola is open upward), b=16. by putting the values.

-b/2a = -16/2(2) = -4

f(-b/2a)= f(-4)= 2(-4)²+16(-4)+30 = -2

So, Vertex = (-4, -2)

Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+30, we get point (0, 30).

Now find x-intercept put y=0 in the above equation. 0=2x²+16x+30

2x²+16x+30=0 ⇒2(x²+8x+15)=0 ⇒x²+8x+15=0 ⇒x²+5x+3x+15=0 ⇒x(x+5)+3(x+5)=0 ⇒(x+5)(x+3)=0 ⇒x=-5 , x= -3

From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.

5. y=(x+2)²+4

The general form of parabola is y=a(x-h)²+k , where vertex = (h,k)

if a>0 parabola is opened upward.

if a<0 parabola is opened downward.

Compare the given equation with general form of parabola.

-h=2 ⇒h=-2

k=4

so, vertex= (-2, 4)

As, a=1 which is greater than 0 so parabola is opened upward and the graph has minimum.

The graph is attached below.

5 0
3 years ago
Read 2 more answers
Other questions:
  • HELPPPPPPPPPPPPPPPPPPPPP
    5·1 answer
  • I have 7hundreds blocks,5tens blocks,and 8ones blocks.I use my block to model two 3-digit numbers.What could My two numbers be?
    10·1 answer
  • Which is the exponential form of logb 35=3?
    5·2 answers
  • Emeril used a total if 7 1/4. Cups of flour to Make three pastries. He used 2 1/4 cups of flour for the first and 2 1/3 cups for
    15·1 answer
  • Can some one help me with total surface area of rectangular prism plz
    6·1 answer
  • Which are dependent events? Check all that apply
    12·2 answers
  • You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan c
    11·2 answers
  • In ΔQRS, the measure of ∠S=90°, QR = 82 feet, and RS = 60 feet. Find the measure of ∠R to the nearest tenth of a degree.
    12·2 answers
  • 3.1 Factorise completely<br><br>3.1.2 3x2 - 2x - 8​
    13·2 answers
  • 100 points!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!