The difference of the squares of two consecutive odd integers is 24. Find the integers.

Select the equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1). y = -2x + 7 y = -2x +

Vilka [71]

Y - y₁ = m(x - x₁)
y - 1 = -2(x - 3)
y - 1 = -2(x) + 2(3)
y - 1 = -2x + 6
+ 1 + 1
y = -2x + 7

The answer is A.

7 0

3 years ago

y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y whe

alina1380 [7]

Answer:

The value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is $\frac{5}{8}$ .

Step-by-step explanation:

According to the statement, we have the following relationship:

$y = k\cdot x^{3}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$k$ - Proportionality constant.

We can eliminate the proportionality constant by constructing the following relationship:

$\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}$

If we know that $y_{1} = y$ , $y_{2} = 5$ , $x_{2} = x_{o}$ and $x_{1} = \frac{1}{2}\cdot x_{o}$ , then the value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is:

$\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}$

$\frac{5}{y} = 8$

$y = \frac{5}{8}$

The value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is $\frac{5}{8}$ .

5 0

2 years ago

Explain, in writing, what each parameter in the given function has on the graph of its parent function. (4 Points) () = −cos(1/2

Andrew [12]

Answer:

The parameters in the parent function are:

the parameter correspondig to - 3 in the given function is 0 in the parent function.
the parameter corresponding to 1/2 in the given function is 1 in the parent function, and
the parameter corresponding to - 1 in the given function is 1 in the parent function.

Explanation:

The given function is $f(x)=-cos(x/2)-3$ .

The parent function of $f(x)=-cos(x/2-3)\text{ }is\text{ }h(x)=cosx$ . The parameters of the given function are -1 (which is mutlyplying the value of cosine, 1/2 which is multiplying the argument (x), and - 3 which is subtracted.

In the parent function, those values are 1, 1, and 0.

It may help you representing the parameters in the given function with letters:

$y=A(Bx)-C$

Then, in the given function A = - 1, B = 1/2, and C = -3.

Now, you can write the parent function:

$y=1.cos(1.x)+0$

Then, the parameters are A = - 1, B = 1, and C = 0.

3 0

3 years ago

The volume of

BARSIC [14]

0.1

1*100 = 100
100/1000
=0.1

8 0

3 years ago

Read 2 more answers

I WILL GIVE BRAINLIEST Part A: Create a fifth-degree polynomial with four terms in standard form. How do you know it is in stand

qwelly [4]

5x 3y^3 2z

I know it is in standard form because there are no more like terms.

Part B: Polynomials are always closed under multiplication. Unlike with addition and subtraction, both the coefficients and exponents can change. The variables and coefficients will automatically fit in a polynomial. When there are exponents in a multiplication problem, they are added, so they will also fit in a polynomial.

Or,

Refer to the photos:

hope this help :)

7 0

2 years ago