All categories

3 years ago

Y is 5 less the product of 4 and x

Mathematics

2 answers:

andrew11 [14]3 years ago

7 0

Y is 5 less -> y - 5

product of 4 and x -> 4x

y-5 = 4x

"y = 4x + 5"

lbvjy [14]3 years ago

3 0

"Y is 5 less" translate to Y = -5. The key word here is "is less".
The product of 4 and x is 4*x. The key word here "the product of".
Now, combine it. Y = 4*x-5.

You might be interested in

Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your

lilavasa [31]

We have the equation:

$y=a\cdot b^x$

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

$\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}$

Now, we use the point (2, 108/25) to calcualte b:

$\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}$

Then, we can write the equation as:

$y=3\cdot(\frac{6}{5})^x$

5 0

8 months ago

A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?

Komok [63]

Answer:

230

Step-by-step explanation:

12 sections total

5 red, 4 green, the rest black

12-5-4 = 3 sections are black

3/12 = 1/4 of the sections are black

1/4 represents the probability of landing on black for one spin

(1/4)*921 = 230.25 which rounds to 230

We expect to land on a black section about 230 times out of 921 times total.

8 0

3 years ago

Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

Ipatiy [6.2K]

Answer:

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

If you prefer it a little more simplified:

$\sum_{n=1}^{16}(5x-14)$

Step-by-step explanation:

First my favorite part, finding a pattern between the consecutive terms.

This is an arithmetic series because the terms are going up by 5 each time.

So arithmetic sequence, think linear equations:

x | y

1 -9

2 -4

3 1

4 6

..................

n 66

We are going to have to find that n but will will eventually...

The equation for a line in point slope form is $y-y_1=m(x_x_1)$ where $(x_1,y_1)$ is a point on the line and m is the slope.

We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).

I'm going to use the first point (1,-9).

So the equation in point slope form is $y-(-9)=5(x-1)$

Subtract 9 on both sides:

$y=5(x-1)-9$

Now we need to know how many terms we are adding so what is x if y=66.

$66=5(x-1)-9$

Add 9 on both sides:

$75=5(x-1)$

Divide both sides by 5:

$15=x-1$

Add 1 on both sides:

$16=x$

We have 16 terms in this sequence where the 16th term is 66.

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

You could simplify the 5(x-1)-9.

Distribute: 5x-5-9

Add like terms: 5x-14

3 0

2 years ago

Read 2 more answers

Please help me with math

fredd [130]

Answer:

1.) Arithmetic. common difference: 4

2.) Arithmetic. common difference: 4

3.) Not arithmetic.

8 0

2 years ago

Read 2 more answers

Is the statement below always something or never true give at least two examples to support your reasoning the LCM of two number

Mashcka [7]

Answer:

Sometimes, it is true

Step-by-step explanation:

The L. C. M of two numbers could be the product of the two Given numbers. This happens sometimes but not always. For instance, the Lowest Common. Multiple of 4 and 5 is 20

4 : 4, 8, 12, 16, 20, 24, 28, 32

5 : 5, 10, 15, 20, 25,...

L. C. M = 20 ; 4 * 5 = 20

However, L. C. M of 4 and 8

4 : 4, 8, 12, 16, 20, 24, 28, 32

8 : 8, 16, 24, 32, 40

L.C.M = 8 ; 4 * 8 = 32

HENCE, L. C. M could be the product of the 2 numbers sometimes and it may not in other scenarios.

3 0

2 years ago