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2 years ago

2.

Mathematics

1 answer:

dimaraw [331]2 years ago

3 0

Answer:

$-7 < -4 < 0 < 7$

Step-by-step explanation:

Given

Change: -4, 7, -7 and 0

Required

Compare them

From the list of given options, we can observe that the inequality < is used in all options.

This implies that we arrange from least to highest

The least is -7

Then, -4

Then 0

And lastly, 7

So, we have:

$-7 < -4 < 0 < 7$

You might be interested in

Find the X COORDINATE OF THE intersection of 9x - 6y = 12 and 3x + 2y =8

yaroslaw [1]

Answer: $x=2$

Step-by-step explanation:

Given a System of linear equations, the solution of the system is the point $(x,y)$ in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.

Having the following System of equations:

$\left \{ {{9x - 6y = 12} \atop {3x + 2y =8}} \right.$

You can use the Elimination method to find the value of "x":

-Multiply the second equation by 3.

- Add the equations.

- Solve for "x".

Then, you get:

$\left \{ {{9x - 6y = 12} \atop {9x +6y =24}} \right.\\.......................\\18x=36\\\\x=\frac{36}{18}\\\\x=2$

8 0

2 years ago

Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0

Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: $x^4+9x^2-4x^2-36$

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: $x^2(x^2+9)-4(x^2+9)$

Now you can rewrite this as $(x^2-4)(x^2+9)$ , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is $a^2-b^2=(a+b)(a-b)$ . Applying that here, we have $(x+2)(x-2)(x^2+9)$ . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: $2x^2+10x-x-5$

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: $2x(x+5)-1(x+5)$

Now you can rewrite the equation as $(2x-1)(x+5)$ . 2x^2 + 9x - 5 is completely factored.

<h3>Putting it all together, your factored expression is $(x+2)(x-2)(x^2+9)(2x-1)(x+5)=0$ </h3>

5 0

3 years ago

1 4

motikmotik

$(1, 4), \ \ (2 , 8 ) \\ \\ slope \\ \\ m = \frac{8-4}{2-1}=\frac{4}{1}=4 \\ \\y=ax+b$

$4=4*1+b\\ \\b=4-4\\ \\b=0 \\ \\y=4x$

5 0

3 years ago

The percent equivalent of 1.07 is ______ and the fraction equivalent is ______

lawyer [7]

1.07 as a percent is 107% 1.07 as a fraction is 1 1/14

Hope this helps!

6 0

3 years ago

Read 2 more answers

3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre

g100num [7]

Answer:

A.10000

B.25 more trees must be planted

Step-by-step explanation:

⇒Given:

The intial average yield per acre $y_{i}$ = 150

The initial number of trees per acre $t_{i}$ = 100

For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
Total yield = (number of trees per acre) $*$ (average yield per acre)