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3 years ago

−3(y+3)=2y+3 I really need help please will mark brainiest

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

6 0

distribute

-3y -9 = 2y+3

add 3y to each side

-9 = 5y +3

subtract 3 from each side

-12 = 5y

divide by 5

-12/5 = y

y = -2 2/5

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Lisa and Kate are playing a card game, and a total of 900 points has been scored. Lisa scored 250 more points than Kate. If you

Olegator [25]

d. Kate = 325 and Lisa = 575

because it says that LIsa has scored 250 points more.

5 0

4 years ago

Read 2 more answers

If f(x) = ln(2), then limx--->2 (f(2)-f(x))/x-2

Blizzard [7]

Answer:

as written, -2
with denominator parentheses, 0
with f(x)=ln(x) and denominator parentheses, -1/2

Step-by-step explanation:

The problem as stated asks for the limit as x approaches 2 of (0/x) -2.

As written, the limit is (0/2) -2 = -2.

<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/x -2 is defined as -2 everywhere except x=0. So, the value at x=2 is 0/2 -2 = -2.

If you mean (f(2) -f(x))/(x -2), that limit is the limit of 0/(x-2) = 0 as x approaches 2.

<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/(x-2) is zero everywhere except at x=2. The left limit and right limit are both 0 as x approaches 2. Since these limits agree, the limit is said to be 0.

If you mean f(x) = ln(x) and you want the limit of (f(2) -f(x))/(x -2), that value will be -1/2.

<u>Explanation</u>: The value of the ratio is 0/0 at x=2, so we can find the limit using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

lim = (-1/x)/(1)

The value is -1/2 at x=2.

7 0

3 years ago

Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.

GaryK [48]

Answer:

$f'(x) = -28 \ at \ x = 2$

Step-by-step explanation:

$f'(2) = \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) = \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\$

$= \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28$

4 0

3 years ago

There are 257 people at a dance performance. Orchestra seats cost $12 and balcony seats cost $8. The total receipts were $2,716.

solniwko [45]

x = # of balcony seats

y = # of orchestra seats

We have to create a system of equations to solve this problem

x + y = 256

$8x + $12y = $2,716

We will solve this system of equations by elimination.

Multiply the first equation by -8

-8x - 8y = -2048

8x + 12y = 2716

Let's add the equations together

0 + 4y = 668

Simplify the left side

4y = 668

Divide both sides by 4

y = 167

We can subtract 167 from 257 to get the number of balcony seats.

257 - 167 = 90 balcony seats

There are 167 orchestra seats and 90 balcony seats

5 0

3 years ago

Find the slope (-8,10) (8,15)

Novosadov [1.4K]

<h3>Question:</h3>

find the slope (-8,10) (8,15)

<h3>Answer:</h3>

m = $\frac{5}{16}$

<h3>Step-by-step explanation:</h3>

Use the slope formula $\frac{y2-y1}{x2-x1}$

(x2,y1) = (-8,10) , (x2,y2) = (8,15)

m = $\frac{15-10}{8-(-8)}$

m = $\frac{5}{16}$

Hope this helps :)

Please consider marking my answer brainlist!

7 0

3 years ago