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Vikki [24]
2 years ago
9

How many points of intersection will the two lines below have? How do you know?

Mathematics
1 answer:
svp [43]2 years ago
3 0
1, both functions are linear
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What is the solution to the system of equations?
MariettaO [177]

Answer:

x=-4 y=-1

Step-by-step explanation:

Let's solve your system by substitution.

−3x−8y=20;y=5x+19

Rewrite equations:

y=5x+19;−3x−8y=20

Step: Solve y=5x+19for y:

y=5x+19

Step: Substitute5x+19foryin−3x−8y=20:

−3x−8y=20

−3x−8(5x+19)=20

−43x−152=20(Simplify both sides of the equation)

−43x−152+152=20+152(Add 152 to both sides)

−43x=172

−43x

−43

=

172

−43

(Divide both sides by -43)

x=−4

Step: Substitute−4forxiny=5x+19:

y=5x+19

y=(5)(−4)+19

y=−1(Simplify both sides of the equation)

Answer:

x=−4 and y=−1

 

7 0
2 years ago
Ami'yan runs every day for exercise at a rate of 1 kilometer every 15 minutes. How many meters does he run in 1 hour? - Thank yo
Alona [7]

Answer:

The total distance covered in 1 hour  is 4000 meters.

Step-by-step explanation:

The distance Ami'yan runs is 15 minutes = 1 kilometer

Using the unit formula,

The distance ran in 1 minute = (\frac{1}{15} ) \textrm{Kilometer}

Now, 1 hour = 60 minutes

⇒The distance covered in 60 minutes =  60 x (Distance run in 1 minute)

                                                               = 60 \times \frac{1}{15}    = 4

So, the distance covered in 1 hour  = 4 kilometer

1 kilometer = 1000 meters

⇒ 4 km =  4 x 1000 meters = 4000 m

Hence, the total distance covered in 1 hour  = 4000 meters.

6 0
2 years ago
The function, f(x) = –2x2 + x + 5, is in standard form. The quadratic equation is 0 = –2x2 + x + 5, where a = –2, b = 1, and c =
avanturin [10]
Given:

The function, f(x) = -2x^2 + x + 5

Quadratic equation: 0 = -2x^2 + x +5
where a = -2
            b = 1
            c = 5

The discriminate b^2 - 4ac = 41

To solve for the zeros of the quadratic function, use this formula:

x = ( -b +-√ (b^2 - 4ac) ) / 2a

x = ( 1 + √41 ) / 4  or 1.85
x = ( 1 - √41 ) / 4  or -1.35

Therefore, the zeros of the quadratic equation are 1.85 and -1.35. 
4 0
3 years ago
Read 2 more answers
The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
nasty-shy [4]

Answer:

Rhombus

Step-by-step explanation:

The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.

5 0
2 years ago
Ride 7,500 meters on the first day and increase the distance by an additional
Bumek [7]
In the first 3 days, I think that Juanita will ride 12500? I'm not sure if that is right but I think it is.
8 0
3 years ago
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