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Elanso [62]
2 years ago
15

-2x + 4 = -3x + 4 3 One Solution No Solution Infinite Solutions

Mathematics
1 answer:
iogann1982 [59]2 years ago
6 0

Answer:

X=0 or no solution

Step-by-step explanation:

-2x+4=-3x+4

cancel equal terms on both sides of the equation

-2x=-3x

move the variable to the left-hand side and change its sign

-2x+3x=0

collect like terms

x=0

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-Find the area of Mr. Gonzalez's classroom garden
Sati [7]

Answer:

Step-by-step explanation:

We can find the area by breaking this into two rectangles one 3 by 7 and the other 1 by 2. The area of any rectangle is xy where x and y are its dimensions

A=3(7)+1(2)

A=21+2

A=23 yd^2

6 0
2 years ago
Read 2 more answers
3p^2+2p-8 factor the common factor out of the expression?
storchak [24]

Answer:

3p²+2p-8

3p²+6p-4p-8

3p(p+2)-4(p+2)

= (3p-4)(p+2)

6 0
3 years ago
Daniel has a beginning balance of $675 in his checking account. He writes two checks for $530 and $200. He has a deposit of $340
GenaCL600 [577]
$675.00 - $530.00 = $145.00
$145.00 - $200.00 = $55.00 negative balance, amount short.
$55.00 + 340.00 = $285.00 positive balance after deposit.
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Daniel has a new balance of $256.00
7 0
3 years ago
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does
NNADVOKAT [17]

The question is not clear, but it is possible to obtain distance, s, from the given function. This, I would show.

Answer:

s = 17 units

Step-by-step explanation:

Given f(t) = t³ - 8t² + 27t

Differentiating f(t), we have

f'(t) = 3t² - 16 t + 27

At t = 0

f'(t) = 27

This is the required obtainaible distance, s.

6 0
3 years ago
What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3
Rufina [12.5K]

Answer:

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1}  =\frac{f(x_2)-f(x_1)}{x_2-x_1}

So, the average rate of change of:

f(x)=-x^2+3x+6

Over the interval -3

Is:

f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Therefore, the average rate of change of this function over that interval is 3.

3 0
3 years ago
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