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3 years ago

Figure 3 shows a sketch of part of the curve C with equation

Mathematics

1 answer:

vampirchik [111]3 years ago

8 0

Answer:

Step-by-step explanation:

because The curve C crosses the x-axis at the origin and at the points A and B => the x coordinates of A and B are the solution of the equation:

x(x + 4)(x - 2) = 0

<=> x = 0

x = -4

x = 2

because the x-coordinates of the points A and B aren't 0 and the x-coordinate

of A is a negative value

=> the x-coordinate of A is -4

the x-coordinate of B is 2

You might be interested in

A trampolinist steps off from 15 feet above ground to a trampoline 13 feet below. The function h (t) = -16 t 2 + 15, where t rep

kondor19780726 [428]

Answer:

Trampolinist will land on the trampoline after 0.9 seconds.

Step-by-step explanation:

The function h(t) = -16t² + 15 represents the relation between height 'h' above the ground and the time 't' of the trampolinist.

We have to find the time when trampolinist lands on the ground.

That means we have to find the value of 't' when h(t) = 15 - 13 = 2

[Since trampoline is 2 feet above the ground]

When we plug in the value h(t) = 2

2 = -16t² + 15

2 + 16t² = -16t² + 16t² + 15

16t² + 2 = 15

16t² + 2 - 2 = 15 - 2

16t² = 13

$\frac{16t^{2}}{16}=\frac{13}{16}$

$t^{2}=\frac{13}{16}$

t = $\sqrt{\frac{13}{16}}$

t ≈ 0.9 seconds

Therefore, trampolinist will land on the trampoline at 0.9 seconds.

5 0

3 years ago

Find the percent increase. Round to the nearest percent. From 13 friends to 16 friends

larisa86 [58]

The percentage increase; you'll need to take the new value and subtract it by the old value.

16 - 13 = 3

Next, you'll divide 3 by the original value.

3 ÷ 13 = 0.23

And multiply by 100

The percentage increase of friends is 23%

8 0

4 years ago

Write 54 + 63 as the product of the GCF of 54 and 63 and another sum

levacccp [35]

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

We can prove this by solving both expressions:

54+63 = 9*(6+7)

117 = 9*13

117 = 117

The results are equal so we prove it is right.

8 0

3 years ago

Read 2 more answers

Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t

alukav5142 [94]

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

6 + 6 = 12 seeds, which means that $N = 12$

6 treated, which means that $k = 6$

Five sprouted, which means that $n = 5$

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076$

0.0076 = 0.76% probability that all five plants emerged from treated seeds

3 0

3 years ago

A copper key is placed in a cylindrical container with a 3-cm diameter. The water level rises from 14 cm to 14.6 cm. What is the

Tomtit [17]

Answer:

The volume is about 4.24 cm^3.

Step-by-step explanation:

From the question we are told that:

Diameter $d= 3-cm$

Radius $r=d/2=>1.5cm$

Height risen $14.6-14=0.6cm$

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

$V=\pir^2h$

Therefore

$V=\pi*1.5^2*0.6$

$V=4.2417\\\\V=4.24 cm^3$

Correct Option A

The volume is about 4.24 cm^3.

3 0

3 years ago