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3 years ago

What is the solution, vertex, and y-intercept of the graph? Please answer ASAP.

Mathematics

1 answer:

inna [77]3 years ago

4 0

Graph is accurate enuf so that you can determine immed that the vertex / minimum is at (3,-4) and that the y-intercept is at (0,5).

If by "solutions" you mean "roots," the roots are {1, 5} (where y=0).

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An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the

julia-pushkina [17]

Answer:

The rate of decrease is: $43.2mm^3/min$

Step-by-step explanation:

Given

$l = 18mm$

$\frac{dl}{dt} = -0.8mm/min$ ---- We used minus because the rate is decreasing

Required

Rate of decrease when: $l = 18mm$

The volume of the cube is:

$V = l^3$

Differentiate

$\frac{dV}{dl} = 3l^2$

Make dV the subject

$dV = 3l^2 \cdot dl$

Divide both sides by dt

$\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}$

Given that: $l = 18mm$ and $\frac{dl}{dt} = -0.8mm/min$

$\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)$

$\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min$

$\frac{dV}{dt} = -43.2mm^3/min$

<em>Hence, the rate of decrease is: 43.2mm^3/min</em>

8 0

3 years ago

the diagonals of a rhombus are 12 centimeters and 16 centimeters. what is the length of one side of the rhombus?

liq [111]

In a rhombus, the diagonals meet at right-angles, and they bisect each other, namely they cut each other in half, check the picture below.

thus we can use the pythagorean theorem to get one side, keeping in mind that, slanted as it may be, all sides in a rhombus are equal in length.

7 0

3 years ago

Find the midpoint of the segment with the following endpoints.<br> (-2,7) and (-10, -1)

Lena [83]

The midpoint would be (-6,3)

3 0

4 years ago

Read 2 more answers

c. How much longer does Sana spend in the bathroom than Ali ? Mother Showers, washes and dries hair, brushes teeth ¾ hour Father

PilotLPTM [1.2K]

Answer:

Sana takes 10 minutes longer than Ali in bathroom

Step-by-step explanation:

Given:

Ali Showers, brushes teeth 20 minutes

Thus, Ali takes 20 minutes time in bathroom

Sana Takes a bath, brushes teeth ½ hour

1 hour has 60 minutes

1/2 hour has 60/2=30 minutes

Thus, Sana takes 30 minutes time in bathroom.

Time, taken more by sana than Ali = 30 minutes - 20 minutes = 10 minutes

Thus, Sana takes 10 minutes longer than Ali in bathroom.

4 0

3 years ago

Susanne has no money. In order to buy her sister a gift, she borrowed $15 from her mom. When her birthday came, she received $45

Olin [163]

Answer:

$30

Step-by-step explanation:

Given data

She borrowed $15 from her mom

Hence she is on -$15

She received $45 dollars

so when she repay $15 her balance will be

= 45-15

=$30

Hence she will save $30

7 0

3 years ago