MATHEMATICS COLLEGE

I need help question 1

Answers

Answer 1
Answer:

given function:

f(x)=(x^2-16)/(x^2+x+1\: )

To find: the intercepts.

x-intercepts is,

(4,0);(-4,0)

y-intercepts is,

(0,-16)

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What is 1 whole and 5/8 as a decimal

What are the integers of 171

Answers

Answer:

56, 57, and 58.

Step-by-step explanation:

Jamie borrowed $361.75 from his uncle,who has agreed to charge him a monthly
simple interest rate of 2.5%. Jamie pays
his uncle back in 7 months.

Answers

He pays 370.28125.

What is Simple Interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given:

Jamie borrowed =  $361.75

Simple interest = 2.5%

As, Simple interest is not compounded.

so,

361.75 x 1.025

=370.28125

Hence, he pays 370.28125.

Learn more about simple interest here:

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Answer:

Jamie will pay back a total of 370.79

Step-by-step explanation:

361.75 x 1.025

Simple interest is not compounded so just multiply the borrowed amount by

1 + .025

The similar triangle is the image of the bigger triangle after a sequence of transformations. What is the value of x?

Answers

Answer:

The value of x is:  2.5 units

Step-by-step explanation:

Two triangles are said to be similar if the ratio of the corresponding sides of the two triangles are equal.

i.e. if two triangles ΔABC and ΔDEF are similar such that the sides of the triangle ABC are a, b and c and the corresponding sides in ΔDEF are d,e and f respectively then we have:

(a)/(d)=(b)/(e)=(c)/(f)

Here we have the base length of the orange i.e. the quadrant above the x-axis as: 8 units

and the base length of the similar triangle i.e. triangle below x-axis as:  4 units.

i.e. we have: a=8 and d=4

and  b=5 and e=x

Hence, we have:

(5)/(x)=(8)/(4)

i.e.

x=(5* 4)/(8)

Hence, we have:

x=2.5
We have
(5)/(x) = (8)/(4) \: so \n 20 = 8x \: so \n x = (20)/(8) = (10)/(4) = (5)/(2) = 2 (1)/(2)

After school, a student jogged from school to the library. it took the student 35 minutes to get to the library, where he spent 10 minutes browsing and checking out a book. he then walked to the coffee shop, on the same street, in 15 minutes. he spent 40 minutes sitting at a table in the coffee shop and reading the book before heading home. he walked home in 25 minutes and remain there until the next morning.

Answers

Answer:

so what are you asking exactly

Step-by-step explanation:

3n-5=-8(6+5n) in distributive property

Answers

Using distributive property we can expand the expression as

3n - 5 = -8 x 6 + (-8) x 5n

To apply the distributive property to the equation

3n - 5 = -8(6 + 5n), we need to distribute the -8 to the terms inside the parentheses.

Using the distributive property, we have:

3n - 5 = -8 x 6 + (-8) x 5n

Simplifying further:

3n - 5 = -48 - 40n

Now, we can continue solving the equation using the simplified form as

3n + 40n = -48 + 5

43n = -43

n= -1.

Learn more about distributive property here:

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Answer:

n=-1

Step-by-step explanation:

3n-5=-8(6+5n)

3n-5=-48-40n

add 40n to both sides

43n-5=-48

n=-1

Find the six rational numbers between -4 and 5/4

Answers

Answer:

1,0,-1,-2,-3,-3/10

Step-by-step explanation:

5/4 = 1.25

Therefore 6 rational numbers between - 4 and 5/4:

1,0,-1,-2,-3,-3/10
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