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horrorfan [7]
3 years ago
13

Write an equation for a line that has slope of 4 and y- intercept of 7

Mathematics
1 answer:
grigory [225]3 years ago
6 0

Answer:

y = 4x + 7

Step-by-step explanation:

the equation for a line is y = mx+b

the y intercept is (0,7)

so in the equation x= 0 and y= 7 and the slope is m, thus m= 4

7= (4)(0)+b

now solve for b

7 = 0 +b

7= b

so the equation of the line would be without the x and y points

y = 4x + 7

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Find FD(round to the nearest tenth) please and thank you!
xxTIMURxx [149]

Answer:

FD = 25.9

Step-by-step explanation:

13x - 16 = 4x + 11

9x = 27

x = 3

using Pythagorean theorem:

FD²  = 12² + [4(3) + 11]²

FD² = 144 + 23² = 144 + 529 = 673

FD = 25.94

7 0
3 years ago
Emily was offered a job after college earning a salary of $35,000. She will get a raise
Svetlanka [38]

Answer:

Step-by-step explanation:

Salary offered to Emily after college = $35000

Rise in her salary = $2000 every year

Let she works for x years in the company,

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The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.

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So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.

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3 years ago
49–2ax –a^2–x^2 factor
vampirchik [111]

49–2ax –a^2–x^2

Extract the negative sign

= 49 - (a^2 +2ax +x^2)

Factor using a^2 + 2ab + b^2 = (a+b)^2

= 49 - (a+x)^2

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4 0
3 years ago
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kenny6666 [7]

Answer:

The state income tax to be paid will be $ 2,300.

Step-by-step explanation:

Given that an annual salary of $ 40,000 pays a state income tax of 5.75% of said value, to determine the total amount of tax to be paid, the following calculation must be made:

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3 years ago
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Romashka [77]

Answer:

z=7

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5=4z-2-3z

5=z-2

5+2=z

7=z

z=7

3 0
3 years ago
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