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natka813 [3]
3 years ago
11

Tyreese is using algebra tiles to solve the equation below.

Mathematics
2 answers:
BigorU [14]3 years ago
5 0

Answer:

The correct option is C) add one positive x-tile to both sides.

Step-by-step explanation:

Consider the provided equation.

2x + 5 = -x + 1

Now to solve the above equation first isolate the variables.

To isolate the variables add x to the both the side of the equation.

2x + 5 + x = -x + 1 + x

Now add the like terms.

3x + 5 =  1

Here we add the x tiles to the both the side of the equation.

Now consider the options.

The correct option is C) add one positive x-tile to both sides.

vesna_86 [32]3 years ago
3 0

for this case we have the following equation:

2x + 5 = -x + 1

To resolve:

We add x to both sides of the equation:

2x + x + 5 = -x + 1 + x

3x + 5 = 1

We subtract 5 on both sides of the equation:

3x + 5-5 = 1-5\\3x = -4

We divide between 3 on both sides of the equation:

x = - \frac {4} {3}

Answer:

We add x to both sides of the equation

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A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
vitfil [10]

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area  

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

= 4d² -πd², but π = 22/7

= 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

= (6/28 d²) × 100%

= 21.42 %

So your answer is B. 20%

Don't thank me this was easy.

3 0
3 years ago
Find the area enclosed between f(x)=0.3x2+7 and g(x)=x from x=−4 to x=8.
denis23 [38]
First, we sketch a picture to get a sense of the problem. g(x)=x is a diagonal line through (0,0) with slope = = 1. Since we are interested in the area between x = -4 and x = 8, we find the points on the line at these values. These are (-4, -4) and (8,8).

f(x) is a parabola. It's lowest point occurs when x = 0. It is the point (0,7). At x = -4 and x=8 it has the values 11.8 and 26.2 respectively. That is, it contains the points (-4, 11.8) and (8,26.2).

From these we make a rough sketch (see attachment). This is a sketch and mine is very incorrect when it comes to scale but what matters here is which of the curves is on top, which is below and whether they intersect anywhere in the interval, so my rough sketch is good enough. From the sketch we see that f(x) is always above (greater than) g(x).

To find the area between the curves over the given interval we integrate their difference and since f(x) is strictly greater than g(x) we subtract as follows: f(x) - g(x). The limits of integration are the values -4 and 8 (the x-values between which we are looking for the area.

Now let's integrate:
\int\limits^{8}_ {-4}f(x)-g(x) \, dx = \int\limits^{8}_ {-4}.3 x^{2} +7-x \, dx
The integral yields: [tex](\frac{.3 (8)^{3} }{3} +7(8)- \frac{ (8)^{2} }{2}) -(\frac{.3 (-4)^{3} }{3} +7(-4)- \frac{ (-4)^{2} }{2}) = 117.6 [/tex]
We evaluate this for 8 and for -4 subtracting the second FROM the first to get:


4 0
3 years ago
If f(x)=3x-9 and g(x)=x^2, what is (g o f)(5)?
notka56 [123]

(g o f)(5) = g(f(5))

f(5) = 3(5) - 9 = 15 - 9 = 6

g(f(5)) = g(6) = (6)² = 36

Answer: 36

5 0
3 years ago
A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no m
Eduardwww [97]

Answer:

6 games.

Step-by-step explanation:

Given that,

Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00

Another store has no membership fee, but that store charges $2.00 to rent a game.

Let there be n games needed to be rented each month for the total fees to be the same from either store.

Cost of first store = $7.50+$1.00n

Cost of another store = $2.00

If cost equals,

$7.50+$1.00n=$2

n=5.5 \approx 6

Hence, 6 games needed to be rented each month.

6 0
3 years ago
Square root of 3x^4 times square root of 5x^2 times square root of 10.
Cloud [144]

Answer:

Step-by-step explanation:

As long as the indices are the same for all the radicals, you can multiply them together. Our index for each of these is 2 (square root) so we multiply them all together and put it under 1 square root sign (radical):

\sqrt{150x^6  The largest perfect square in 150 is 25, and the 6th power on the x needs just to be rewritten in terms of an exponent of 2 to give us:

\sqrt{25*6*(x^3)^2} and pull out the perfect squares to get

5x^3\sqrt{6}

5 0
4 years ago
Read 2 more answers
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