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Eva8 [605]
3 years ago
6

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

Answer:

y = 2x + 2

Step-by-step explanation:

<em>(a) Slope </em>

The point-slope formula for a straight line is

y₂ - y₁ = m(x₂ - x₁)

The line goes through the points  (-1, 0) and (0, 2).

2 – 0 = m[0 – (-1)]

     2 = m

(b) y-intercept

y = mx + b

Use the point (0, 2)

     2 = 2× 0+ b

     2 = 0 + b

     b = 2

∴  y = 2x + 2

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find the present value of an investment that is worth $19,513.75 after earning 3percent simple interest for 5.5 years
Dahasolnce [82]

Answer:

present value = $16750

Step-by-step explanation:

The simple interest formula allows us to calculate A, which is the final amount. According to this formula, the amount is given by A = P (1 + r*t), where P is the principal, r is the annual interest rate in decimal form, and t is the loan period expressed in years

simple interest formula:

t: time

P: present value

A: amount

r : anual interest

A = P (1 + r*t)

P = A / (1 + r*t)

P = 19,513.75 / (1 + 3/100 * 5.5)

P = 19,513.75/ (1 + 0.165)

P = 19,513.75 / 1.165

P = 16750

present value = $16750

5 0
3 years ago
Find the degree measure of each angle in the triangle.
Alex777 [14]

Answer:

  • ∠R = 56°
  • ∠Q = 90°
  • ∠S = 34°

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

  • 90°
  • (2x + 38)°
  • (5x - 11)°

Solving according to <u>angle sum property</u>,

Sum of all angles in a triangle is 180°

\longrightarrow 90° + (2x + 38)° + (5x - 11)° = 180°

\longrightarrow 117° + 7x = 180°

\longrightarrow 7x = 180° - 117°

\longrightarrow 7x = 63°

\longrightarrow x = 9

Angles =

\longrightarrow 2(9) + 38

\longrightarrow 56°

\longrightarrow 5(9) - 11

\longrightarrow 34°

  • ∠R = 56°
  • ∠Q = 90°
  • ∠S = 34°

The angles are 56°, 90° and 34°.

4 0
3 years ago
Match the following items.
Margarita [4]

1. Commutative property of adfition

2. Multiplicative inverse

3. Associative property of addition

4. Distributive property

5. Additive identity

8 0
3 years ago
Read 2 more answers
If the Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is
Hatshy [7]
2 workers, each 8 per hour, for 40hrs a week, so one earns 8 * 40, or 320 bucks, is two workers, so 320 + 320 or 640 bucks

if 2000 is the 100%, how much is 640 in percentage off of it?

well   \bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\&#10;2000&100\\ 640&x&#10;\end{array}\implies \cfrac{2000}{640}=\cfrac{100}{x}

solve for "x"
7 0
3 years ago
Read 2 more answers
Someone help please!!!!
LUCKY_DIMON [66]

Answer:

x = -2

TU = 4

UB = 2

Step-by-step explanation:

you can add x^2 with 4x+10 and equate it to 6:

x^2 + 4x + 10 = 6

x^2 + 4x + 4

then u can use the roots formula : x = (-b ± √ (b2 - 4ac) )/2a

so it'll be   x = {-4±[√16 - 4(4)]}/2

x= -2

then u can substitute it and find TU and UB

TU= (-2)^2 = 4

UB= 4(-2)+10 = 2

5 0
2 years ago
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