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PolarNik [594]
3 years ago
13

Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3 a. x-intercept is ( 3, 0) y-intercept

is (0, negative StartFraction 3 Over 7 EndFraction) c. x-intercept is (0, negative StartFraction 3 Over 7 EndFraction) y-intercept is ( 3, 0) b. x-intercept is (negative StartFraction 3 Over 7 EndFraction, 0) y-intercept is (0, 3) d. x-intercept is (3, 0) y-intercept is (negative StartFraction 3 Over 7 EndFraction, 0)
Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Step-by-step explanation:

Given the function y = 7x + 3

The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:

0 = 7x + 3

7x + 3 = 0

7x = -3

x = -3/7

Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:

y = 7(0) + 3

y = 0 + 3

y = 3

Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

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3 years ago
Yaro buys a baseball cap for $9.50. He also buys a new baseball. Yaro speads $13.50 altogether.
VMariaS [17]

Answer:

13.5 = 9.5 + x

x=4

Step-by-step explanation:

In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.

Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.

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3 years ago
In 56 years, Daniel will be 5 times as old as he is right now.<br> How old is he right now?
marissa [1.9K]
Daniel is 14 years old
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3 years ago
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What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months?
Rom4ik [11]
Since only the principal value, interest rate and interest period are given, we can deduce that "finance charge" only includes the interest to be paid at the end of the term. This can be obtained by subtracting the principal value from the future value which we will solve for.

The future value can be solved by using the following compound interest formula:

Let:
F = Future value
P = Principal value
r<span> = annual interest rate </span>
n<span> = number of times that interest is compounded per year</span>
t<span> = number of years</span>

F = P(1 + r/n)^nt

Substituting the given values:
F = 4250(1 + 0.1325/12)^(12*2)
F = 5531.54

Subtracting P from F:
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3 years ago
Solve for x <br> (19x-18) <br> (7x+1) <br> (10x-9)
ExtremeBDS [4]

Answer:

Step-by-step explanation:

Exterior angle property: Exterior angles equals the sum of remote angles

19x - 18 = 7x + 1 + 10x - 9

19x - 18 = <u>7x + 10x</u> + <u>1 - 9 </u>    {Combine like terms}

19x - 18 = 17x - 8          {Subtract 17x from both sides}

19x - 17x - 18 = -8

        2x - 18 = -8         {Add 18 to both sides}

              2x = -8 + 18

             2x = 10

              x = 10/2

x = 5

6 0
3 years ago
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