Ask question

Ask question

All categories

2 years ago

5

WILL MARK BRAINLIST!! The graph shows two lines, A and B. How many solutions are there for the pair of equations for lines A and

B? Explain your answer. (5 points)

2 answers:

RideAnS [48]2 years ago

4 0

<h3>Answer: 1 solution</h3>

Reason:

The solution of the system of equations is the intersection point of the two lines. That solution in this case is (1, 4). This means x = 1 and y = 4 pair up together. It might be tempting to say that (1,4) is two solutions since it has two coordinates; however, we treat the ordered pair as one object.

antoniya [11.8K]2 years ago

4 0

Answer:

One

Step-by-step explanation:

The number of solutions for the system is the number of times the two equations intersect....for these two lines , they intersect only one time ===> one solution

You might be interested in

The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of th

sveticcg [70]

Answer:

P = 4(2x + 5)

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

Step-by-step explanation:

Given that:

Perimeter of square = 4 * s

Where s = side length

If perimeter, P = 8x + 20

Then,

4s = 8x + 20

Divide both sides by 4

4s / 4 = (8x + 20) / 4

s = 2x + 5

P = 4s

P = 4(2x + 5)

Or

P = 2x + 5 in 4 places

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

8 0

3 years ago

If 30 gallons of water are poured into 1/5 -gallon containers, how many full containers can be filled?

statuscvo [17]

6 would be correct answer

3 0

3 years ago

1.3n-0.03=-9 (solve for n) grade lvl. 7

bazaltina [42]

Hello from MrBillDoesMath!

Answer:

-6.9

Discussion:

1.3n - 0.03 = -9 => multiply both sides by 100

130n - 3 = -900 =>

130n = -900 +3 = -897 => add 3 to both sides

n = -897/130 =>

n = - (69 * 13)/ (10*13) =>

n = - 69/10 = - 6.9

Thank you,

MrB

4 0

3 years ago

One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air

Lisa [10]

Answer:

$P(A) = 0.45$

$P(B) = 0.32$

Step-by-step explanation:

Given

$P(A) > P(B)$

$P(A\ u\ B) = 0.626$

$P(A\ n\ B) = 0.144$

Required

Find P(A) and P(B)

We have that:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

and

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

The equations become:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

$0.626 = P(A) + P(B) - 0.144$

Collect like terms

$P(A) + P(B) = 0.626 + 0.144$

$P(A) + P(B) = 0.770$

Make P(A) the subject

$P(A) = 0.770 - P(B)$

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

$0.144 = P(A) * P(B)$

$P(A) * P(B) = 0.144$

Substitute: $P(A) = 0.770 - P(B)$

$[0.770 - P(B)] * P(B) = 0.144$

Open bracket

$0.770P(B) - P(B)^2 = 0.144$

Represent P(B) with x

$0.770x - x^2 = 0.144$

Rewrite as:

$x^2 - 0.770x + 0.144 = 0$

Expand

$x^2 - 0.45x - 0.32x + 0.144 = 0$

Factorize:

$x[x - 0.45] - 0.32[x - 0.45]= 0$

Factor out x - 0.45

$[x - 0.32][x - 0.45]= 0$

Split

$x - 0.32= 0 \ or\ x - 0.45= 0$

Solve for x

$x = 0.32\ or\ x = 0.45$

Recall that:

$P(B) = x$

So, we have:

$P(B) = 0.32 \ or \ P(B) = 0.45$

Recall that:

$P(A) = 0.770 - P(B)$

So, we have:

$P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45$

$P(A) = 0.45 \ or\ P(A) =0.32$

Since:

$P(A) > P(B)$

Then:

$P(A) = 0.45$

$P(B) = 0.32$

6 0

3 years ago

If an object is projected upward from ground level with an initial velocity of 128 ft per sec, then it's height in feet after t

antoniya [11.8K]

Answer: t= 4 seconds

Maximum height = 256 feet

Step-by-step explanation:

The height of the object projected upwards after t seconds is given by

s(t)=-16t^2+128t.

The expression is a quadratic equation. When this equation is plotted on a graph, height against time, it takes the shape of a parabola whose vertex represents the maximum height attained by the object.

To get the value of t at the maximum height,

t = -b/2a

From the equation,

a = -16

b = 128

t = -128/-2×-16

= -128 /- 32= 4

it will take 4 seconds to reach its maximum height

To find maximum height attained, put t= 4 in the equation

s(t)=-16t^2+128t

S = -16× 4^2 + 128×4

S = -256+512

S = 256 feet

3 0

4 years ago