Which of the following is a rational number?square root 97square root 98, square root 99, square root 100

Answers

Answer 1

Answer:

I'm almost positive it's 100

Answer 2

Answer: i'm almost positive that it is 100.

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Can someone help me on B and C
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After being rearranged and simplified, which two of the following equations could be solved using the quadratic formula? A) 5x^3+2x-4=2x^2 B) x^2-6x-7=2x^2 C) 2x^2-3x+10=2x^2+21 D) 5x^2-3x+10=2x^2

Answers

Answer:

B & D

Step-by-step explanation:

The quadratic formula can be used to solve for x for any quadratic. Recall a quadratic is any function whose highest exponent known as degree is 2. Looking at the answer selections, A has one term with exponent 3. This isn't possible in the formula. Looking at answer C, the term with exponent 2 has the same coefficient on each side of the equal sign. When it is rearranged these will cancel out no exponent of 2 will be in the equation anymore. Only B & D work after being rearranged and simplified

The two equations after simplifying will give quadratic equations are:-

x ²-6x-7=2x² and 5x²-3x+10=2x².

What is a quadratic equation?

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

Solving for the quadratic equation:-

Option B:-

x ² - 6x - 7 = 2x²

- 2x² + x ² - 6x - 7 = 0

x ² + 6x + 7 = 0

Option D:-

5x² - 3x + 10 = 2x².

5x² - 2x². - 3x + 10 = 0

3x² - 3x + 10 = 0

Therefore two equations after simplifying will give quadratic equations are- x ²-6x-7=2x² and 5x²-3x+10=2x².

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what if erika and Bradley want to hike 14 miles each day? how many days will they hike exactly 14 days?

Answers

you just need to multiply 14 miles by 14 days so the answer is 196

What is the value of x/4y , when x = 16 and y = 2 worth 20 pts pls help quickA.1/32

B.2

C.2 2/3

D.4

Evaluate the expression for the given values
mx−y when m=2, x=7, and y=5

put your answer below

Answers

The answer to your question is b. 2

X/4y
X/4*y
16/4*2
16/4=4
4*2=8

Write the equation of the line that it is parallel to y=2x+1 and passes though the solution of the following systems of equations :3x-2y=10
x+y=5

Answers

The required equation of a line is y = 2x - 11

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The given line,
y = 2x + 1
The slope of the equation is m = 2

Now the point is required,
3x-2y=10 - - - - - -(1)

x+y=5
x = 5 - y - - - - -(2)
putting x in equation 1
3(5 - y) - 2y = 10
15 - 3y - 2y = 10
-5y = -5
y = 1
Now
x = 5 - y
x = 5 + 1
x = 6
Points are (6, 1)
Equation of line is given by,
y - 1 = m (x - 6 )
y - 1 = 2 (x - 6 )
y = 2x -12 + 1
y = 2x - 11

Thus, the required equation of line is y = 2x - 11

Learn more about slopes here:
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well, keeping in mind that parallel lines have the same exact slope, hmmmmm

$\bf y = \stackrel{\stackrel{m}{\downarrow }}{2}x+1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\n \cline{1-1} \n y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \n\n \cline{1-1} \end{array}$

alrite, so we know the slope has to be 2 then hmmm let's check the point it runs through

$\bf \begin{cases} 3x-2y=&10\n\n x+y=&5\n \qquad y=&5-x \end{cases} \n\n\n \stackrel{\textit{substituting \underline{y} on the 1st equation}}{3x-2(5-x)=10}\implies 3x-10+2x=10\implies 5x-10=10 \n\n\n 5x=20\implies x=\cfrac{20}{5}\implies \blacktriangleright x = 4 \blacktriangleleft \n\n\n \stackrel{\textit{since we know that}}{y = 5-x}\implies y=5-4\implies \blacktriangleright y = 1 \blacktriangleleft$

so, we're really looking for the equation of a line whose slope is 2 and runs through (4,1)

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{1})~\hspace{10em} \stackrel{slope}{m}\implies 2 \n\n\n \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \n\n\n y-1=2x-8\implies y=2x-7$