Y=2x-10 substitution <br> Y=4x

melomori [17]

To simplify this expression, we are going to combine like terms.

First, we can see that we have two terms with the variables $xy$ being multiplied together, $2xy$ and $-xy$ . Together, these add to $xy$ , so our expression is now:

$xy - 3yz + 5 + 2yz$

We also have two terms with $yz$ , $-3yz$ and $2yz$ . Together, these add to $-yz$ , so our expression is now:

$xy - yz + 5$

Our final expression is xy - yz + 5.

6 0

3 years ago

Mr falcons pizza shop offers three sizes of pizza the small medium and large they have diameters of 8 inches 10 inches and 12 in

yuradex [85]

The circumference = 2×pi×radius
the small = 2×3.14×4 = 25.12 inches
the medium = 2×3.14×5 = 31.4 inches
the large = 2×3.14×6 = 37.68 inches

6 0

3 years ago

Select the two values of x that are roots of this equation.<br> 2x^2+ 1 = 5x

iren [92.7K]

Answer:

$\frac{5+\sqrt{17}}{4}$ , $\frac{5-\sqrt{17}}{4}$

Step-by-step explanation:

One is asked to find the root of the following equation:

$2x^2+1=5x$

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

$ax^2+bx+c=0$

Change the given equation using inverse operations,

$2x^2+1=5x$

$2x^2-5x+1=0$

The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

$\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}$

Simplify,

$\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}$

$\frac{5(+-)\sqrt{25-8}}{4}$

$\frac{5(+-)\sqrt{17}}{4}$

Rewrite,

$\frac{5(+-)\sqrt{17}}{4}$

$\frac{5+\sqrt{17}}{4}$ , $\frac{5-\sqrt{17}}{4}$

8 0

3 years ago

You want to estimate the number of students in a junior high school who ride the school bus. which sample is unbiased?

Vika [28.1K]

Answer:

Option B - 90 students at random during lunch

Step-by-step

An unbiased sample is defined as:

A sample is an unbiased sample if every individual or the element in the population has an equal chance of being selected.

Based on this, we can eliminate:

Option A) - It prevents non-eighth-graders of the school from being represented.

Option C) - Students in a hallway might take a particular class together/may be of the same grade. This gives them an unfair advantage.

Option D) - All students who are not in chorus are not represented in this set.

8 0

4 years ago

1. 43 +2)what is the value of the expression

Maru [420]

Answer:

45

Step-by-step explanation:

This is the answer because:

1) 43 + 2 equals to 45

Hope this helps!

7 0

3 years ago

Y=2x-10 substitution Y=4x