A worker is paid $9.80 per hour, with time and a half for any hours over 40 per week. If he works 44 hours in a week, what will be his gross pay amount?a. $440.80
b. $450.80
c. $392.00
d. $406.70

Answers

Answer 1

Answer: b. 450.80

you multiply 40 x 9.80 ...equals 392.

take 1/2 of 9.80...that equals 4.90.
4.90 plus 9.80 equals $14.70 x 4 = 58.80

$58.80 plus 392. equals $450.80

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Consider the following set of equations:Equation A: y = 2x + 4 Equation B: y = 3x + 1 Which of the following is a step that can be used to find the solution to the set of equations? 2x + 4 = 3x + 1 2x = 3x + 4 2x + 4 = 3x 2x + 1 = 3x + 4
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Which is the correct input-output table for the function ?f(x)=3/x+4

Answers

It seems the function f(x) is 3/(x+4).

If the function is f(x) = 3 / (x + 4), a table could be

x f(x)

-8 -3/4

-7 -1

-6    -3/2

-5    -1

(-4 is no a valid input)

- 3 3

- 2    3/2

-1    1

0 3/4

1    3/5

2    3/6 = 1/2

3    3/7

4    3/8

If the function is f(x) = (3/x) + 4

Just substitute different values for x and obtain the respective outputs. In this case, x has to be different of o, i.e. 0 is not a valid input.

The answer is option B in the screenshot.

Question 2 i need help on

Answers

Number 4 a rectangular dodecagon

For question two its number 4

Indicate the relationship between the line: 2x - 5y = 10 , and the line: 10x + 4y = 20Which of the 3 is correct

Parallel
Perpendicular
They intersect at an angle other than 90 degrees

Answers

Answer:

Perpendicular

Step-by-step explanation:

Here, we want to know the relationship between the two lines .

The easiest way to go about this is to get their slopes;

Mathematically, the equation of a straight line can be expressed in the form;

y = mx + c

where m is the slope;

Hence;

2x -5y = 10

Isolating the y part

5y = 2x -10

divide through by 5

y = 2/5x - 2

So the slope here is 2/5

for the second line

10x + 4y = 20

Divide by 2 all through

5x + 2y = 10

Isolate y

2y = 10-5x

Divide by 2 again

y = 5 -5/2x

The slope here is -5/2

What do we notice? we can see that if we multiply the two slopes by each other, we get -1

That is;

2/5 * -5/2 = -1

What this means is that both lines are perpendicular.

This is because the slopes of perpendicular lines, when multiplied by each other = -1

Final answer:

The two given lines, 2x - 5y = 10 and 10x + 4y = 20, intersect at an angle other than 90 degrees. We determined this by finding the slope of each line and seeing that they are neither equal (for parallel lines) nor negative reciprocals (for perpendicular lines).

Explanation:

To determine the relationship between the lines 2x - 5y = 10 and 10x + 4y = 20, we need to analyze their slopes. Both equations can be rewritten in slope-intercept form (y = mx + b) to determine their slopes. The first equation becomes y = (2/5)x - 2, and the second equation becomes y = (-10/4)x + 5.

The slopes of the two lines are m1 = 2/5 and m2 = -10/4. Since the slopes are different, the lines are not parallel. To determine if they are perpendicular, we need to check if their slopes are negative reciprocals.

The product of the slopes is (2/5)(-10/4) = -4/5. Since the product is not -1, the lines are not perpendicular. Therefore, the correct relationship is that the lines intersect at an angle other than 90 degrees.

Learn more about Relationship between two lines here:

brainly.com/question/33155255

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How to solve for x???

Answers

Answer:

50 degrees

Step-by-step explanation:

Since this is an isosceles triangle, and the measurements on the left and right are the same, that means that both angle measurements on the bottom are the same.

180 - 80 = 100

100/2 = 50

The length of a rectangle is 2 more than twice the width. The perimeter is 76 feet. Find the length and width of the rectangle.

Answers

so we can set x= width
2x+2 = length
so 2(x)+2(2x+2)= 76
so that will give us 2x+4x+4=76
6x=72
x=12
so 12 is width and 26 is length

Describe this pattern. Then see if you can think of another Pythagorean triple that doesn't follow the pattern you just described and that can't be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. Explain your findings. x-value Pythagorean Triple 7 (14,48,50) 8 (16,63,65) 9 (18,80,82) 10 (20,99,101)

Answers

Answer:

See explanation

Step-by-step explanation:

A Pythagorean triple is a set of 3 positive integer numbers, a, b, and c which satisfies the Pythagorean theorem: $c^2=a^2+b^2$

Given the identity: $(x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2.$

We verify that the numbers given table are Pythagorean triples.

$14^2+48^2=2500=50^2\n16^2+63^2=4225=65^2\n18^2+80^2=6724=82^2\n20^2+99^2=10201=101^2$

Next, we examine the pattern:

$\left|\begin{array}{c|c|c|c|c}x-value&x^2-1&2x&x^2 + 1&$Triple\n--&--&--&--&----\n7&48&14&50&(14,48,50)\n8&63&16&65&(16,63,65)\n9&80&18&82&(18,80,82)\n10&99&20&101&(20,99,101)\end{array}\right|$