In the equation y + 8 = 82, what is the next step in the equation solving sequence?

Mathematics

2 answers:

svet-max [94.6K]3 years ago

8 0

Answer:

y=74

Step-by-step explanation:

You have to subtract 8 from both sides of the equation because when solving an equation like this, it is important to try to isolate y.

y + 8 = 82

-8 -8

82 - 8 = 74

y = 74

Strike441 [17]3 years ago

4 0

Answer:

y + 8 = 82

y = 82 - 8

y = 74

In this equation we need to find the value of y

So you need to change the position of 8 and take it behind the equals to sign. When you do so the positive 8 Changes to negative 8 and the equation become y = 82 - 8 then when you solve it the answer comes 74.

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Use the drawing tool(s) to form the correct answer on the provided number line.

miskamm [114]

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

$f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0$

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: $x^2-x-12$

This is now a quadratic expression for which we can find its factor form:

$x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)$

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

7 0

3 years ago

Answer pleaseeeeeeeeee

katovenus [111]

Answer:

$y=-\frac{8}{7}x+4$

Step-by-step explanation:

A line is perpendicular to another if its slope is the negative reciprocal of the other.

Your lines are in slope intercept form here, y=mx+b, where m is the slope. We can see the given line has slope $\frac{7}{8}$ . The negative reciprocal of that is $-\frac{8}{7}$ , which is the slope of the third answer choice.