Which statement about 2 + 3x is true?

Shauna makes 24 cupcakes per hour. She has already made 48 cupcakes. Let x represent the amount of time Shauna spends making the

GalinKa [24]

Y=24x+48

24 per hour (x) plus the 48 she already made would equal a total (y).

3 0

3 years ago

Rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c

Romashka [77]

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

Order of Operations: BPEMDAS
Expand by FOIL (First Outside Inside Last)
Standard Form: f(x) = ax² + bx + c
Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = -2(x + 2)² + 6

Step 2: Find Standard Form

Expand by FOILing: f(x) = -2(x² + 4x + 4) + 6
Distribute -2: f(x) = -2x² - 8x - 8 + 6
Combine like terms (constants): f(x) = -2x² - 8x - 2

8 0

3 years ago

Simplify the expression below. Make sure to reduce all fractions. 8sec(x)/-7sec(x)

Sidana [21]

Answer:

- $\frac{8}{7}$

Step-by-step explanation:

Given

$\frac{8secx}{-7secx}$ ← cancel sec x on numerator/ denominator

= $\frac{8}{-7}$

= - $\frac{8}{7}$

7 0

3 years ago

What is the lateral area of the Triangular Prism?

Anuta_ua [19.1K]

Answer:

D)210 units ^2 I hope the answer is correct. I will be happy when I get 10 points

6 0

2 years ago

Let (-7, 2) be a point on the terminal side of 0.

nekit [7.7K]

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three trigonometric functions associated with the terminal side of an angle. The following definitions are used:

Sine

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$ (1)

Secant

$\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (2)

Tangent

$\tan \theta = \frac{y}{x}$ (3)

If we know that x = - 7 and y = 2, then the exact values of the three trigonometric functions:

Sine

$\sin \theta = \frac{2}{\sqrt{53}}$

Secant

$\sec \theta = -\frac{\sqrt{53}}{7}$

Tangent

$\tan \theta = -\frac{2}{7}$

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

5 0

1 year ago