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2 years ago

Write the inequality shown by the graph with the boundary line

Mathematics

1 answer:

Bingel [31]2 years ago

3 0

Answer:

Step-by-step explanation:

since the shaded area is above the line y must be > or >= 1/4x-4, so the symbol must be > or >=. since the line isn't dashed, points on the line also fit the inequality meaning that the answer is >=

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98-x2=0 solve this with the quadratic formula

Mars2501 [29]

Answer:

x∈{-7√2, 7√2}

Step-by-step explanation:

$98-x^2=0\\\\-x^2+98=0\\\\a=-1\,,\ \ b=0\,,\ \ c=98\\\\x_1=\dfrac{-0-\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{-\sqrt{4\cdot49\cdot2}}{-2}=\dfrac{-2\cdot7\sqrt{2}}{-2}=7\sqrt2\\\\x_2=\dfrac{-0+\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{2\cdot7\sqrt{2}}{-2}=-7\sqrt2$

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3 years ago

What is the length of 2x+6

matrenka [14]

Answer: 3 i hope this is right

Step-by-step explanation:

8 0

3 years ago

There are four times as many girls in a chemistry class as there are boys. if there are 45 students in the class, how many boys

puteri [66]

In order to determine the number of boys in the class, first, we set-up an algebraic equation. Let x = number of boys in the class. The equation is then: x + 4x = 45. This is because the number of girls is 4 times greater than the number of boys. After solving the algebraic equation, it is then determined that there are 9 boys in the Chemistry class.

4 0

3 years ago

The dot plot shows the height, in feet, of a group of trees being studied. How many trees are being studied? Enter the answer in

suter [353]

Answer:13

Step-by-step explanation: I took the test in K12 and the answer is 13

3 0

3 years ago

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

7 0

3 years ago