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3 years ago

What is the inverse of y = 2x - 1?

Mathematics

2 answers:

borishaifa [10]3 years ago

5 0

Option 2 because it is the opposite

Vlad1618 [11]3 years ago

5 0

Answer:

Step-by-step explanation:

y = 2x - 1

x = 2y - 1

2y - 1 = x

2y = x + 1

y = x/2 + 1/2

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There are 8 fewer than double the

shutvik [7]

Answer:

The equation to find the number of students in the

the band will be: 2x - 8= 54

Step-by-step explanation:

Let the number of members in the chorus = x

so the double number of members in the chorus will be = 2x

As Total members in the chorus = 54

As there are 8 fewer than double the number of students in the chorus than in the band. i.e. 2x - 8

Therefore, the equation to find the number of students in the

the band will be: 2x - 8= 54

3 0

3 years ago

Which of the following proportions could be used to convert 3600 feet into miles

MA_775_DIABLO [31]

Answer:

Go with the 2nd choice.

Step-by-step explanation:

When using proportions to solve for unknown quantities, you need to keep the same units on the same side. This means keep "ft" on the top side and "mi" on the bottom side.

6 0

4 years ago

Find the value z of a standard normal variable Z that satisfies each of the following conditions. In each case, sketch a standar

morpeh [17]

Answer:

a) z = -1.645

b) z = 0.674

Step-by-step explanation:

We have to find the value of z of a standard normal variable Z that satisfies each of the following conditions.

a) 5% of the observations fall below z

$=P(Z < z) = 0.05$

Calculation the value from standard normal z table, we have,

$P(Z$

b) 25% of the observations fall above z

$P(Z > z) = 0.25\\\Rightarrow P(Zz) = 1 - 0.25 = 0.75$

Calculation the value from standard normal z table, we have,

$P(Z$

3 0

3 years ago

Stephanie has an aquarium that is in the shape of a right rectangular prism, 50 centimetres long, 25 centimetres wide and 30 cen

Bess [88]

To solve this, we are going to use the volume formula for a rectangular prism: $V=lwh$
where
$V$ is the volume of the prism
$l$ is the length of the prism
$w$ is the width of the prism
$h$ is the height of the prism

We are also using the volume of a sphere formula: $V= \frac{4}{3} \pi r^{3}$
where
$V$ is the volume of the sphere
$r$ is the radius of the sphere

Part A: Since she wants a layer of marbles in the bottom of the tank about 5 centimeters deep, the height of this little rectangular prism will be 5 centimeters, so $h=5$ . Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(5)$
$V=6250 cm^{3}$
Now that we know that she wants to cover a volume of 6250 $cm^{3}$ with marbles, lets find the volume of each marble.
We know that the diameter of each marble is 1 cm. Since the radius is of a sphere is half its diameter, $r= \frac{1}{2} =0.5$ . Lets replace that value in our volume formula:
$V= \frac{4}{3} \pi r^{3}$
$V= \frac{4}{3} \pi (0.5)^{3}$
$V=0.52 cm^{3}$
Now, let $x$ the number of marbles she will need to cover a volume of 6250 $cm^{3}$ :
$0.52x=6250$
$x= \frac{6250}{0.52}$
$x=12019.23$
Since we know that each bag of marbles has 500 marbles, we are going to divide the number of marbles she will need by the number of marbles in each bag:
$\frac{12019.23}{500} =24.03$

We can conclude that to fill a layer of 5 cm with marbles, she will need 24 bags of marbles.

Part B: We know that she already have 5 cm of her aquarium filled with marbles, and that she also added water until it’s level is 3 centimeters below the top of the tank, so to find the height of this new rectangular prism, we are going to subtract 5 cm plus 3 cm from the original height of her aquarium:
 $h=30-(5+8)$
$h=30-13$
$h=17cm$
Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(17)$
$V=21250cm^{3}$
Remember that $1litre=1000cm^{3}$ . So:
$(21250cm^3)( \frac{1litre}{1000cm^{3})} =21.25liters$

We can conclude that there are 21.25 liters of water in the tank.

6 0

3 years ago

How do you do this?? explain it well please!

Nesterboy [21]

First you want to combine like terms. on the first equation we can combine 2x+x=3x. So now we have 3x-3. On the right side we can combine 12+1 so we now have -x+13. Now we will take add an x to -x so it's 0 but we have to do it to the other side as well so now we have 4x-3=13. now we will add three to -3 to make it 0 but again we have to do it to the other side. Now we have 4x=16. We want to figure out what x is so we now divide 4x by 4 so we are just left with x but we need to do it to the other side so your answer is x=4

4 0

3 years ago