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3 years ago

7

Find the value of X 9x+7 -3x+20

1 answer:

crimeas [40]3 years ago

5 0

1.) 16x
2.) 17x i believe those are the answers

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If , find the value of 2 square root of 17-x = 2x-10, find the value of x/4.

ira [324]

$2 \sqrt{17-x} =2x-10\ \ \ \ \Rightarrow\ \ \ D:(17-x \geq 0\ \ \ and\ \ \ 2x-10 \geq 0)\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x \leq 17\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x \geq 5\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ D=\\\\2 \sqrt{17-x} =2(x-5)\ /:2\\\\ \sqrt{17-x} =x-5\ \ \ \Rightarrow\ \ \ (\sqrt{17-x})^2 =(x-5)^2\\\\17-x=x^2-10x+25\\\\$

$x^2-9x+18=0\\\\ x^2-3x-6x+18=0\\\\x(x-3)-6(x-3)=0\\\\(x-3)(x-6)=0\ \ \ \ \Leftrightarrow\ \ \ (x-3=0\ \ \ \ or\ \ \ \ x-6=0)\\\\x=3\ \notin\ D\ \ \ \ \ \ \ \ \ \ \ x=6\ \in\ D\ \ \ \Rightarrow\ \ \ \frac{x}{4} = \frac{6}{4} =1.5\\\\Ans.\ \frac{x}{4} =1.5$

7 0

3 years ago

A factory makes candles. Each candle is in the shape of a triangular prism, as shown below. If the factory made 35 such candles,

Llana [10]

Number of candles =(total volumes used by the company)/(volume of one candle)
volume of one candle =5cm*2cm*12cm=120cm^3
hence number of candles =5040/120
, ,=42candles

5 0

3 years ago

What is the area of the trapezoid?

Naily [24]

40,960

hope this helps

:)

5 0

3 years ago

Read 2 more answers

10. Which travels faster, a car that goes 200 miles in 2 hours, or a

umka21 [38]

<h2>Answer:</h2>

<em>Question 10. </em><u><em>The truck travels faster</em></u><em>.</em>

<em>Question 11. </em><u><em>The slug travels faster</em></u><em>.</em>

<h2>Step-by-step explanation:</h2>

<h2><u>Question 10.</u></h2>

<u />

<h3>1. Find the velocity of each vehicle.</h3>

$Speed=\frac{distance}{time}$

$Speed_{Car} =\frac{200(miles)}{2(hours)}=100mi/h. \\\\ Speed_{Truck} =\frac{300(miles)}{2.5(hours)} =120mi/h.\\ \\$

<h3>2. Compare the velocities.</h3>

$Speed_{Car} =100mi/h < Speed_{Truck} =120mi/h.$

<em>Hence, the trucks travels faster than the car.</em>

<em></em>

<u>-------------------------------------------------------------------------------------------------------</u>

<em></em>

<h2><u>Question 11.</u></h2>

<em>Apply the same method as in question 10.</em>

<h3>1. Find the velocity of each body.</h3>

<em /> $Speed_{snail}=\frac{20(cm)}{(3 min)} =6.67cm/min.\\ \\Speed_{slug}=\frac{15(cm)}{(2 min)} =7.5cm/min.$

<h3>2. Compare the velocities.</h3>

$Speed_{snail}=\frac{20(cm)}{(3 min)} =6.67cm/min < Speed_{slug}=\frac{15(cm)}{(2 min)} =7.5cm/min.$

Hence, the slug travels faster.

6 0

1 year ago

Match the following. 1. the domain set of C = {( 2, 5), (2, 6), (2, 7)} {3, 4, 5, 6} 2. the range set of E = {(3, 3), (4, 4), (5

Artyom0805 [142]

1. The domain set of C = {(2,5),(2,6),(2,7)} is the set of all first elements of the ordered pairs.

Therefore, domain set of C = {2}

2. The range set of E ={(3, 3),(4, 4),(5, 5),(6, 6)} is the set of all second elements of the ordered pairs.

Therefore, range set of E = {3,4,5,6}

3. We need to find the range and domain of F = {(x, y) | x + y = 10}.

Clearly, the domain is the set of all real numbers.

Also, if x is a real number, then 10 - x is also a real number.

We have, x + y = 10

y = 10 - x

So, y is also a real number.

Therefore, range and domain of F = {all real numbers}

4. We need to find the range and domain of P = {(x, y) | y = 3}.

Clearly, the domain is the set of all real numbers.

Since, the y = 3 (the second element of the ordered pair), the range is the singleton set {2}.

Hence, domain = {all real numbers} and range = {y : y = 3}

4 0

3 years ago

Read 2 more answers