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telo118 [61]
3 years ago
15

X and y-intercept of y=X-5

Mathematics
1 answer:
aksik [14]3 years ago
4 0
The x-intercept is when y = 0
y = x - 5 → 0 = x - 5 → x = 5

The y-intercept is when x = 0
y = x - 5 → y = 0 - 5 → y = - 5

Answer: x-intercept is (5, 0), y-intercept is (0, -5)
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Evaluate the function f(x) at the given numbers (correct to six decimal places).
statuscvo [17]

Answer:

The values of given function are shown in the below table.

Step-by-step explanation:

The given function is

f(x)=\frac{x^2-5x}{x^2-x-20}

Simplify the given function.

f(x)=\frac{x(x-5)}{x^2-5x+4x-20}

f(x)=\frac{x(x-5)}{x(x-5)+4(x-5)}

f(x)=\frac{x(x-5)}{(x+4)(x-5)}

Cancel out the common factor.

f(x)=\frac{x}{x+4}

Substitute x=5.5 in the above equation.

f(5.5)=\frac{5.5}{5.5+4}

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8 0
3 years ago
Jocelyn just accepted a job at a new company where she will make an annual salary of $70000. Jocelyn was told that for each year
Oksanka [162]

Answer:

$80,500

55,500 + 1,500t

Step-by-step explanation:

The question is an arithmetic progression series

Where,

a= first term

d= common difference

n= number of terms

a = $70,000

d= $1,500

n= 8 years

8th term = a + (n-1) d

= 70,000 + (8-1)1500

= 70,000 + 7(1500)

= 70,000 + 10,500

= $80,500

Jocelyn salary after 8 years is $80,500

Solve for when n = t

t th term = a + (n-1)d

= 70,000 + (t - 1)1500

= 70,000 + 1,500t - 1,500

= 55,500 + 1,500t

t th term = 55,500 + 1,500t

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Answer:

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Step-by-step explanation:

The triangle is 6 x 4 = 24 ÷ 2= 12

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