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3 years ago

Answer for the square root(5x-9)+1=x

1 answer:

8 0

$\bf \sqrt{5x-9}+1=x\implies \sqrt{5x-9}=x-1\implies 5x-9 = (x-1)^2 \\\\\\ 5x-9=\stackrel{\mathbb{FOIL}}{x^2-2x+1}\implies 5x=x^2-2x+10\implies 0=x^2-7x+10 \\\\\\ 0=(x-5)(x-2)\implies x= \begin{cases} 5\\ 2 \end{cases}$

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Which lines in the graph have a slope greater than 1 but less than 2?

lapo4ka [179]

Answer:

Lines 3 and 4

Step-by-step explanation:

Let's examine the slope of each of the given lines to have the exact value and be able to answer the question. We use the definition of: $slope=\frac{rise}{run}$

Line 1: $slope=\frac{rise}{run}=\frac{6}{2} = 3$

Line 2: $slope=\frac{rise}{run}=\frac{6}{3} = 2$

Line 3: $slope=\frac{rise}{run}=\frac{6}{4} = 1.5$

Line 4: $slope=\frac{rise}{run}=\frac{6}{5} = 1.2$

Line 5: $slope=\frac{rise}{run}=\frac{6}{6} = 1$

Therefore the lines that have slope strictly greater than 1 and less than 2 are:

Lines 3 and 4

3 0

2 years ago

Read 2 more answers

The graph of f(x)=3×2 -3 is shown below. g(x) is a transformation of f(x). How would you write the equation for the function g(x

umka2103 [35]

A function assigns the values. The function of the graph g(x) is 3(2ˣ).

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function of the graph is f(x)=3(2ˣ)-3, which is needed to be transformed to g(x), since g(x) is the function of f(x) transformed 3 units upwards therefore, the function of g(x) can be written as,

g(x) = f(x) + 3

g(x) = 3(2ˣ)-3+3

g(x) = 3(2ˣ)

Hence, the function of the graph g(x) is 3(2ˣ).

Learn more about Function:

brainly.com/question/5245372

#SPJ1

8 0

2 years ago

I’m very bored and I want to learn something. Tell me something cool like a fun fact or a joke and the best one gets Brainliest!

lbvjy [14]

Did you know that horses sleep standing up and also laying down
Horses also can’t burp or vomit
Horses are measured in hands which is about four fingers sideways
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7 0

2 years ago

Read 2 more answers

What is the slope of the line shown?

Darya [45]

Answer:

slope = 1/2

Step-by-step explanation:

Pick two convenient integer coordinates

I'll use (0,-1) and (2,0)

slope = (y1-y2)/(x1-x2) = (-1-0) / ( 0-2) = 1/2

8 0

1 year ago

Dominick spent 2 3/4 hours on his art project Rachel worked one and 1/3 times as long on her art project as Dominick worked for

inna [77]

Answer is Rachel worked 3 2/3 hours

Step by step

Dominic worked 2 3/4 hours

Rachel worked (1 1/3) times (2 3/4)

1 1/3 x 2 3/4. Change into an improper fraction

4/3 x 11/4. multiply across

44/12

Simplify

= 3 2/3

6 0

1 year ago