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2 years ago

Use the number line below, where RS = 5y + 2, ST = 3y + 9, and RT = 59.

Mathematics

2 answers:

Alexus [3.1K]2 years ago

8 0

The answer would be the first option!!

nirvana33 [79]2 years ago

7 0

Answer:

a) the value of y is 7y

b) rs = 5y +2

= 7y

st = 3y +9

=12y

it help you

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Artemon [7]

Answer:

$\huge\boxed{(2,\ 3);\ (-1,\ 6)}$

Step-by-step explanation:

$f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right$

substitute (1) to (2):

$x^2-2x+3=-x+5$ add x to both sides

$x^2-2x+x+3=-x+x+5$

$x^2-x+3=5$ subtract 5 from both sides

$x^2-x+3-5=5-5$

$x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}$

substitute the values of x to (2):

$x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}$

3 0

2 years ago

you borrow $5,860 from a bank you will have monthly payments of $205.10 for 3 years what percent will you pay back in interest o

disa [49]

Answer:

26%

Step-by-step explanation:

Your 36 monthly payments will total ...

36 × $205.10 = $7383.60

$5860 of that is the amount you borrowed. The remainder is the interest you pay:

$7383.60 -5860 = $1,523.60

As a percentage of the original loan amount this is ...

$1523.60/$5860 × 100% = 26%

You pay back 26% of the original loan amount in interest.

3 0

2 years ago

Lexi picked 2 7/10 pounds of strawberries. That afternoon, Lexi’s sister ate 7/8 of the strawberries. How many pounds of strawbe

gavmur [86]

3 $\frac{3}{35}$ pound of strawberry

Step-by-step explanation:

Given parameters:

Pounds of strawberry picked by Lexi =2 $\frac{7}{10}$

Pounds of strawberry eaten by Lexi sister = $\frac{7}{8}$

Unknown:

Pound of strawberry Lexi's sister ate = ?

Solution:

This is a fraction word problem.

Let pound of strawberry eaten by Lexi's sister = K

We can establish that:

Pound of strawberry eaten by Lexi sister x K = Pound of strawberry picked by Lexi

Mathematically we have:

$\frac{7}{8}$ x K = 2 $\frac{7}{10}$

Learn more:

fractions brainly.com/question/1757979

#learnwithBrainly

K = $\frac{27 x 8}{10 x 7}$ = $\frac{216}{70}$

K = 3 $\frac{3}{35}$ pound of strawberry

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2 years ago

If a circular playground has an area of 144 m2. What is the diameter of the playground?

zhuklara [117]

Answer:

The diameter is about <u>13.55m</u>

Step-by-step explanation:

Calculator

7 0

1 year ago

the vertex form of the equation of a parabola is y=(x-5)2+16. what is the standard form of the equation

Reika [66]

Answer:

y = x² - 10x + 41

Step-by-step explanation:

The standard form of a quadratic is ax² + bx + c : a ≠ 0

Given

y = (x - 5)² + 16 ← expand (x - 5)²

= x² - 10x + 25 + 16

= x² - 10x + 41 ← in standard form

6 0

3 years ago

Read 2 more answers