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3 years ago

The table shows the area of a square with the given side length.

Mathematics

2 answers:

stepan [7]3 years ago

4 0

Y = x^2
.........................................

marysya [2.9K]3 years ago

3 0

Y=x squared

Every x squared equals y

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7 Which is the best estimate for the percent equivalent of 75? 219 229 469 479

Natalka [10]

469 is the perece to equivalent to 75 becuase it’s bigger

3 0

3 years ago

A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided 3/5 of a

r-ruslan [8.4K]

Answer: $\dfrac{1}{5}\text{ of an ounce.}$

Step-by-step explanation:

Given : A biologist studied how cells grow by adding liquid protein to cell samples.

She divided $\dfrac{3}{5}$ of an ounce of liquid protein evenly among 3 cell samples.

Here , total quantity of liquid protein = $\dfrac{3}{5}$ of an ounce

Total cell samples = 3

Now , Quantity of liquid protein given by her to each cell = (total quantity of liquid protein ) ÷ (3)

= $\dfrac{3}{5}\times\dfrac{1}{3}=\dfrac{1}{5}\text{ of an ounce}$ .

Hence, Quantity of liquid protein given by her to each cell = $\dfrac{1}{5}\text{ of an ounce.}$

4 0

3 years ago

Given the system of linear equations.

Karo-lina-s [1.5K]

Part A:

x + y = 9

4x + y = 6

To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.

x + y = 9

x = 9 - y

Substitute this expression (9 - y) into the second equation for x and solve.

4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10

To find x, substitute 10 for y into either of the original equations.

x + y = 9

x + 10 = 9

x = -1

Finally, check all work by substituting the x- and y-values into each original equation.

x + y = 9 --> -1 + 10 = 9 --> 9 = 9 --> True

4x + y = 6 --> 4(-1) + 10 = 6 --> -4 + 10 = 6 --> 6 = 6 --> True

The answer for Part A is x = -1 and y = 10; (-1, 10).

Part B:

For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.

x + y = 9

y = 9 - x

y = -x + 9

4x + y = 6

y = 6 - 4x

y = -4x + 6

Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.

Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.

Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)

The lines do indeed intersect at (-1, 10); our answer is verified by graphing.