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inessss [21]
3 years ago
15

Given that h(x) = 3x −19, find the value of x that makes h(x) = 71.

Mathematics
2 answers:
rosijanka [135]3 years ago
6 0

Keywords:

<em>Equation, variable, value, clear </em>

For this case we have an equation with a variable of the form y = h (x). Where h (x) = 3x-19. Given the value ofh (x) = 71, we want to find the value of the variable "x". So, we have:

h (x) = 3x-19\\71 = 3x-19

We must clear "x", for this, we add "19" to both sides of the equation:

71 + 19 = 3x-19 + 19\\90 = 3x

We divide between "3" on both sides of the equation:

\frac {90} {3} = \frac {3x} {3}\\30 = x

Thus, the value of the variable "x" is 30.

Answer:

x = 30

Option A

jolli1 [7]3 years ago
5 0

Answer:

The answer is a. 30.

Step-by-step explanation:

3 times 30 is 90 and 90-19 equals 71.


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Solve the inequality. 6x + 3 &gt; 3x + 30 A) x &gt; 9 B) x &gt; 11 C) x &gt; −9 D) x &gt; −11
ANTONII [103]

Subtract 33 from both sides

6x>3x+30-36x>3x+30−3

 Simplify 3x+30-33x+30−3 to 3x+273x+27

6x>3x+276x>3x+27

 Subtract 3x3x from both sides

6x-3x>276x−3x>27

Simplify 6x-3x6x−3x to 3x3x

3x>273x>27

Divide both sides by 3

3x>\frac{27}{3}x>

​

3x> ​27

​​  

Simplify \frac{27}{3}

​3

​

ANSWER: x>9


6 0
3 years ago
4. a. On the grid, draw at least three different quadrilaterals that can each be
Julli [10]

Answer:

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4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
ehidna [41]

Answer:  1) 0.10

               2) 0.60

               3) 0.20

               4) 0.10

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

The total frequency is 20+120+40+20 = 200.  This means they ran the experiment 200 times.  The probability distribution is calculated by the satisfactory number of outcomes (frequency) divided by the total number of experiments/outcomes (total frequency):

\begin{array}{c|c||lc}\underline{x}&\underline{f}&\underline{f\div 200}&\underline{\text{Probability Distribution}}\\1&20&20\div200=&0.10\\2&120&120\div 200=&0.60\\3&40&40\div 200=&0.20\\4&20&20\div 200=&0.10\end{array}\right]

6 0
3 years ago
Find the equation of a circle with a center at (0, -4) and a point on the circle is (6, 0).
EastWind [94]

Answer:

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Step-by-step explanation:

Equation of circle with center (a , b) and radius, r is :

(x -a)^2 + ( y -b)^2 = r^2

Given :  a = 0 , b = - 4

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     = \sqrt{ 36 + 16 } \\\\= \sqrt{52}

Step 2 : Equation of circle.

  (x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52

8 0
3 years ago
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