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2 years ago

Which of the following statements are true about the graph of the function f(x)=(x+5)(x-3)

Mathematics

1 answer:

mina [271]2 years ago

4 0

x * x = x^2

x * -3 = -3x

5 * x = 5x

5 * -3 = -15

x^2 -3x + 5x -15

x^2 + 2x -15

This function is a quadratic function, with an upwards parabola.

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What is the volume of this rectangular prism 7/5 CM by 5 cm and 7/2 cm

Step2247 [10]

Answer:

$V=\frac{49}{2}\ cm^3$

$V=24.5\ cm^3$

Step-by-step explanation:

we know that

The volume of the rectangular prism is

$V=LWH$

where

L is the length

W is the width

H is the height

substitute the given values in the formula

$V=(\frac{7}{5})(5)(\frac{7}{2})$

$V=\frac{245}{10}\ cm^3$

Simplify

$V=\frac{49}{2}\ cm^3$ ---> fraction form

$V=24.5\ cm^3$ ----> decimal form

7 0

3 years ago

The value of y varies directly with x. When y = 0.3, x = 1 . What is the value of y when x is 35? 5 A 52.5 B 1.5 C 10 D 15

IceJOKER [234]

Answer:

Step-by-step explanation:

4 0

2 years ago

A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each pris

elena-s [515]

The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

<h3>How to determine the volume </h3>

Using the formula:

Volume = 3abh

Where a = apothem length

b = length of the side of the base

h =height of the prism

Substitute values from the diagram into the formula

Volume = 3 × 5 × 4.3 × 2

Volume = 129 in^3

Volume of the remaining cake

Volume = 3abh

Volume = 3× 5.2 × 4 × 6

Volume = 374. 4 in^3

Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

Learn about volume of a hexagonal prism here:

brainly.com/question/9647193

#SPJ1

8 0

2 years ago

What is the slope of the line? (Write your answer as a reduced fraction)

hoa [83]

Answer:

m=-1/4

Step-by-step explanation:

(0,5)(4,4)

6 0

3 years ago

What is the surface area of the cylinder in terms of ? The diagram is not drawn to scale.

Delicious77 [7]

Answer:

SA = 748π in²

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 11 in

h = 23 in

Step 2: Find Surface Area

Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(11 in)(23 in) + 2π(11 in)²
Evaluate exponents: SA = 2π(11 in)(23 in) + 2π(121 in²)
Multiply: SA = 506π in² + 242π in²
Add: SA = 748π in²

7 0

2 years ago