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2 years ago

6x2 + 6x – 1= -5x – 4

Mathematics

1 answer:

Anna71 [15]2 years ago

4 0

Answer:

x= -1/3 or x= -3/3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2+6x−1=−5x−4

Step 1: Subtract -5x-4 from both sides.

6x2+6x−1−(−5x−4)=−5x−4−(−5x−4)

6x2+11x+3=0

Step 2: Factor left side of equation.

(3x+1)(2x+3)=0

Step 3: Set factors equal to 0.

3x+1=0 or 2x+3=0

x= -1/3 or x= -3/3

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Choose the pair of numbers that is not a solution to the given equation.

balandron [24]

Answer:

The pair (0,3) is not a solution to the equation

Step-by-step explanation:

This can be proved by simply replacing the x and y variables in the equation by the x and y values of the pair, and checking if the equation renders a true statement:

By replacing x and y with their values in the pair (0,3), that is x=0 and y=3, in the equation y = 5 - 2x we get:

3 = 5 - 2 (0)

3 = 5 - 0

3 = 5

which is NOT a true statement.

On the other hand, the other two pairs (2,1) and (1,3) render true statements:

1 = 5 - 2 (2)

1 = 5 - 4

1 = 1

and

3 = 5 - 2 (1)

3 = 5 - 2

3 = 3

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2 years ago

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2 years ago

The next train will arrive in 32 minutes and 30 seconds. In how many seconds will the next train arrive? Enter your answer in th

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2 years ago

Read 2 more answers

10) Find the measure of angle D. Hint: you must do two math problems to solve

NISA [10]

Answer:

Option A.) 43°

Step-by-step explanation:

Part 10)

step 1

Find the length of side EG

see the attached figure to better understand the problem

we know that

In the right triangle EGF

$cos(65^o)=\frac{EG}{EF}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(65^o)=\frac{EG}{11}$

solve for EG

$EG=(11)cos(65^o)\\EG=4.65\ cm$

step 2

Find the measure of angle D

In the right triangle DEG

$tan(D)=\frac{EG}{DG}$ ----> by TOA (opposite side divided by adjacent side)

substitute the given values

$tan(D)=\frac{4.65}{5}\\\\D=tan^{-1}(\frac{4.65}{5})=43^o$

3 0

2 years ago

What is the volume of the cone below? ):

svetoff [14.1K]

Answer:

A. 112π units³

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

Volume of a Cone Formula: $\displaystyle V = \frac{1}{3} \pi r^2h$

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Radius r = 4

Height h = 21

Step 2: Find Volume

Substitute in variables [Volume of a Cone Formula]: $\displaystyle V = \frac{1}{3} \pi (4)^2(21)$
Evaluate exponents: $\displaystyle V = \frac{1}{3} \pi (16)(21)$
Multiply: $\displaystyle V = \frac{16 \pi}{3}(21)$
Multiply: $\displaystyle V = 16 \pi \cdot 7$
Multiply: $\displaystyle V = 112 \pi$

8 0

2 years ago