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nordsb [41]
2 years ago
5

A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. Trip back took 14 hours. What is the speed of t

he boat in still water?
Mathematics
1 answer:
nexus9112 [7]2 years ago
6 0
Speed of the boat = u
speed of the current = v

In downstream,
u - v = 280/7
u - v = 40

In upstream,
u + v = 280/14
u + v = 20

Add both equations
2u = 60
u = 30

v = -10

Speed of the boat = 30 km/h

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List the important features for the graph of a quadratic function.
Kay [80]

Answer:

  • Vertex
  • Minimum Point
  • Maximum Point
  • Roots
  • Axis of Symmetry

Step-by-step explanation:

The bottom (or top) of the U is called the vertex, or the turning point. The vertex of a parabola opening upward is also called the minimum point. The vertex of a parabola opening downward is also called the maximum point.

The x-intercepts are called the roots, or the zeros. To find the x-intercepts, set ax^2 + bx + c = 0.

The parabola is symmetric (a mirror image) about a vertical line drawn through its vertex (turning point). This line is called the axis of symmetry.

If possible, please mark brainliest

7 0
3 years ago
Identify the x-intercepts of the function below f(x)=x^2+12x+24
damaskus [11]

<u>ANSWER:  </u>

x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

<u>SOLUTION:</u>

Given, f(x)=x^{2}+12 x+24 -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, for (1) a = 1, b= 12 and c = 24

X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}

\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}

Hence the x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

8 0
2 years ago
You buy a six pack of Gatorade for $9.00. What is the unit price or the price per bottle?
Viefleur [7K]

Answer:

Price per bottle is 1.5 or $1.50

Step-by-step explanation:

To get price per unit, you just divide the amount of money spent by the items purchased. 9/6 = 1.5

4 0
3 years ago
The length of one side of an ice cube is 2.5 cm. Calculate the volume of the ice cube.​
pogonyaev

Answer:

15.63 cm^3

Step-by-step explanation:

Assuming that the ice cube is a perfect cube, then all of the sides are equal. There for, each side is 2.5 cm.

v = l*w*h

v = 2.5 * 2.5 * 2.5

v = 6.25 * 2.5

v = 15.625 cm^3

6 0
1 year ago
In square ABCD, AC = 6x + 10, and BD = 10x + 2. What is the length of AC?
Oksanka [162]

Answer:

B) 22

Step-by-step explanation:

AC = BD

6x+10 = 10x+2

simplify:

subtract 6x and 2 from both sides:

4x = 8

x = 2

then:

AC = 6(2)+10 = 22

6 0
2 years ago
Read 2 more answers
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