Which line has a slope of 1/2 and goes through the point (2,4)?

Answers

Answer 1
Answer: the line equation for its slope and one point is:
y - y1 = m(x - x1)
m is the slope, x1, y1 are the point coordinates, so lets substitute:
y - 4 = (1/2)(x - 2)
y = (1/2)x + 3

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lorenzo has a checkbook balance of $118.00. he writes two checks, one for $ 9.00 and one for $84.25.He then deposits $95.00. finally he uses his calculator to determine his new balance. which one of the following series represents the correct order in which he should press the keys on his calculator?

Answers

$118.00 - $9.00 - $84.25 + $95.00 is the correct order

The correct order of key presses on the calculator is 118.00 - 9.00 - 84.25 + 95.00 =

How did we arrive at this assertion?

To determine Lorenzo's new balance using a calculator, follow these steps in the correct order:

1. Enter the initial checkbook balance: Press the keys 118.00.

2. Subtract the amount of the first check: Press the subtraction key (-) followed by 9.00.

3. Subtract the amount of the second check: Press the subtraction key (-) followed by 84.25.

4. Add the amount of the deposit: Press the addition key (+) followed by 95.00.

5. Calculate the new balance: Press the equals key (=).

Therefore, the correct order of key presses on the calculator is:

118.00 - 9.00 - 84.25 + 95.00 =

learn more about checkbook balance: brainly.com/question/3719189

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A company has two electric motors that consume varying amounts of power. The power consumed by each motor is a function of the time (t in minutes) for which it runs. The cost of power (in $) to run one motor is given by the function `C_a(t) = t^2 - 2t + 5`. The cost of running the second motor is given by `C_b(t) = 3t + 2`. Which function gives the total cost of running both motors?

Answers

try to do it as a simple multiplication problem

HELP!(:Find any points of discontinuity for the rational function.
y= (x+6)(x+2)(x+8)/(x+9)(x+7)

Answers

Points of discontinuity for the rational functions are values that makes a denominator zero:
x+9 = 0,  x +7 = 0
The points are : x=-9 and x = -7

Perform the indicated operation.

4/11 · 10/8

4/11
5/11
6/11

Answers

4/11 * 10/8

Multiplying fractions
1) multiply the numerators: 4 * 10 = 40
2) multiply the denominators: 11 * 8 = 88
3) simplify the fraction
40/88 ⇒ 10/22 ⇒ 5/11

40 ÷ 4 = 10
88 ÷ 4 = 22

10 ÷ 2 = 5
22 ÷ 2 = 11

4/11 * 10/8 = 5/11

For the data shown in the stem-and-leaf plot, what is the effect on the mean and median of adding the value 10 to the data set? A. The mean is decreased by about 0.7 and the median is decreased by 2. B. The mean is decreased by about 0.7 and the median is decreased by 3. C. The mean is decreased by about 1.2 and the median is decreased by 2. D. The mean is decreased by about 1.2 and the median is decreased by 3.

Answers

The correct answer for the question that is being presented above is this one: " C. The mean is decreased by about 1.2 and the median is decreased by 2." For the data shown in the stem-and-leaf plot,  the effect on the mean and median of adding the value 10 to the data set is that the mean is decreased by about 1.2 and the median is decreased by 2.

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = (x3-3x+1)2

Answers

The Fundamental Theorem of Algebra says that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

We will see that the polynomial has 6 roots.

Let's see how we get that answer:

The theorem means that even if we do not see the graph crossing the x-axis, there is still a root (a complex root).

Then the number of roots is just the same as the degree of the polynomial (such that there may be multiple roots in one given point).

The degree of the polynomial function:

p(x) = (x^3 - 3*x + 1)^2

is 6, so we have a total of 6 roots. (We only look at the larger exponent to find the degree of the polynomial).

If you want to learn more, you can read:

brainly.com/question/2770908

The fundamental theorem of the algebra, establishes that for any polynomial of degree n, the roots of the polynomial are also n roots.

Where n is an integer greater than zero.

We then have the following function:

We observe that the term of greatest exponent for the polynomial is:

Therefore, the polynomial has 6 roots.

Answer:

exist 6 roots for the polynomial function