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zepelin [54]
3 years ago
12

Which system of equations can you use to find the roots of the equation? x3 – 10x = x2 – 6

Mathematics
2 answers:
Alona [7]3 years ago
4 0

Answer: Zoom out on the graph, -3,0.59,3.41

Second question: Use the graphing calculator to graph the system. In order to view all of the solutions of this system, : (Zoom out on the graph)

Third question: From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.: (-3,0.59,3.41)

Step-by-step explanation: Correct answers from edg

vivado [14]3 years ago
3 0

\bf \stackrel{y}{x^3-10x}=\stackrel{y}{x^2-6}\implies  \begin{cases} y=x^3-10x\\ y=x^2-6 \end{cases}

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the Royal fruit company produces two types of fruit drinks. the first type is 20% pure juice,the second type is 100% pure fruit
skad [1K]

30 pints of first type and 130 pints of second type drinks must be used to make the mixture.

<em><u>Explanation</u></em>

Lets assume, the amount of first type drink is x pints.

As the total amount of the mixture is 160 pints, so the amount of second type drink = (160-x) pints.

The first type is 20% pure juice, the second type is 100% pure fruit juice and the mixture is 85% pure fruit juice. So the equation will be .....

0.20x+1.00(160-x)= 0.85*160\\ \\ 0.20x+160-x=136\\ \\ -0.80x= -24\\ \\ x=\frac{-24}{-0.80}=30

So, the amount of first type drink is 30 pints and the amount of second type drink is (160-30)pints =130 pints.

5 0
3 years ago
A line passes through (4, 5) and (8, 9). Which equation best represents the line?
xxTIMURxx [149]

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

m = (y2 - y1)/(x2 - x1)

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1



7 0
3 years ago
3/14 x 3/14 as a fraction
nataly862011 [7]

Answer:

((3 / 14) * 3) / 14 = 9 / 196

Step-by-step explanation:

Reduce 9/196 to lowest terms 9 196 is already in the simplest form. It can be written as 0.045918 in decimal form (rounded to 6 decimal places).

5 0
2 years ago
One number is 9 more than another. if the sum of the two numbers is 171, find the two numbers
allochka39001 [22]
Let x be the 1st number
x + 9 be the second number

Equation:
x + x+9 = 171

Solution:
2x + 9 = 171
2x = 171 - 9
2x = 162
x = 81
x + 9 = 90

81 + 90 = 171
4 0
3 years ago
What all sets does 4/5 belong too? Natural, whole, integer, rational, irrational, real?
Lera25 [3.4K]

Answer:

Real, rational

Step-by-step explanation:

7 0
4 years ago
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