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3 years ago

Solve for x.6x^2=4x+10

Mathematics

1 answer:

Agata [3.3K]3 years ago

6 0

Answer:

$x=-1,\displaystyle \frac{5}{3}$

Step-by-step explanation:

Hi there!

$6x^2=4x+10$

Move 6x^2 to the other side of the equation:

$0=-6x^2+4x+10$

Divide both sides by -2:

$0=3x^2-2x-5$

Factor by grouping:

$0=3x^2+3x-5x-5\\0=3x(x+1)-5(x+1)\\0=(3x-5)(x+1)$

Apply the zero product property:

$3x-5 = 0\\3x=5\\\\x=\displaystyle \frac{5}{3}$

$x+1=0\\x=-1$

Therefore, x = -1, 5/3.

I hope this helps!

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A study states that 34% of people prefer their eggs crambled. you randomly select 7 people who had egs for breakfast. what is th

Darya [45]

Answer:

Mean of the binomial distribution μ = 2.38

Standard deviation of the binomial distribution σ = 1.2533

Step-by-step explanation:

Explanation:-

Given Population proportion

p = 34 % = 0.34

q = 1- p

= 1 -0.34

= 0.66

q = 0.66

Mean of the binomial distribution

μ = n p = 2.38

Standard deviation of the binomial distribution

σ = √n p q = 1.2533

4 0

3 years ago

What is the equation in slope-intercept form that passes through the points (-4, 47) and (2, -16)?

Whitepunk [10]

Answer:

y = 10.5x - 37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-4, 47)

Point (2, -16)

Step 2: Find slope m

Substitute: $m=\frac{-16-47}{2+4}$
Subtract/Add: $m=\frac{63}{6}$
Simplify: $m=\frac{21}{2}$

Step 3: Find y-intercept b

Define: y = 21/2x + b
Substitute: -16 = 21/2(2) + b
Multiply: -16 = 21 + b
Isolate b: -37 = b
Rewrite: b = -37

Step 4: Write linear equation

Combine all parts.

y = 21/2x - 37

y = 10.5x - 37

And we have our final answer!

5 0

3 years ago

Please help me answer this:) Will give you brainlst ^

Step2247 [10]

Answer:

youths print: 34

youths electronic: 39

youths total: 73

adults print: 22

adults electronic: 35

adults total:57

total print: 56

total electronic: 74

total total: 130

3 0

3 years ago

Match the following fraction with its equivalent decimal

Gre4nikov [31]

Answer:

2/3 --> 0.6667

7/12 --> 0.5833

8/13 --> 61.54%

12/17 --> 0.7059

Step-by-step explanation:

8 0

4 years ago

I really need helppppp

JulijaS [17]

Answer:

The correct answer is C.

Step-by-step explanation:

In the equation of a circle, if the variable $x$ and $y$ are added or subtracted by any number before being squared, the entire circle with be translated in the opposite amount that was added or subtracted to the circle. For example, $(x-8)^2 + (y-8)^2$ shifts the center 8 to the right and up of the origin, $(x+1)^2+(y+4)^2$ shifts the center 1 to the left and 4 down of the origin. Since the circle represented in the graph is centered directly on the origin, that means the equation will have $x^2+y^2$ , which helps you eliminate choices A and C. For the equation of a circle, the radius is the value of the constant on the right side of the equal sign taken to its square root. Since the radius of this circle is 8, that means the constant at the right side of the circle would be 64 or $8^2$ , so the correct answer would be choice C: $x^2+y^2=8^2$ .

5 0

3 years ago