I need help! algebra

Answers

Answer 1

Answer: The answer is A. If you look at one point, the point moves right 2 units and down 4 units.

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System of equations PROBLEM/QUESTION:
A school band ordered hats for $3 and large T-shirts for $5. They bought 150 items in all for $590. Graph a system of equations to find how many hats and T-shirts the band ordered.

**PLEASE HELP I DONT UNDERSTAND SYSTEM OF EQUATIONS

Answers

The number of hats ordered is; 80 and the number of shirts ordered is; 70.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that the Cost of hats = $3

The Cost of shirts = $5

The total cost of all the items = $590.

Total number of items bought = 150 items.

Let us assume that the number of hats ordered be x.

The number of shirts ordered be y

The equation can formed as;

x+y = 150 -------(1)

3x+5y = 590 ---------(2)

Multiply and subtract eq(2) from eq(1),

3x+3y = 450

-(3x+5y = 590)

-2y = - 140

y = 140/2

y = 70.

Thus, the number of shirts ordered is; 70.

Now Substitute y=70 in eq(1),

x+70 = 150

x = 150-70

x = 80.

Thus, the number of hats ordered is; 80.

Learn more about equations here;

brainly.com/question/25180086

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You would make a system of equations, so the first would be "x+y=150" (x is the number of hats and y is the number of shirts). The second equation would be "3x+5y=590". You would solve the system by either substitution, elimination, or graphing it.
If you do it by substitution, you would solve one equation for either variable (the first equation would be easier to solve for either variable) and plug it into the other equation and solve it. So it would look like: y=150-x 3x+5(150-x)=590
If you did it by elimination, you would line the variables in the equations up and make one variable (We'll use x) the opposite of the same variable in the other equation and add the equations together to make the chosen variable cancel out so you could solve for the other variable. So it would look like: 3x+5y=590
+ -5x- 5y=-150
-----------------
-2x=440
x=-220
After you do that, you would plug that answer into one of the original equations and solve for the other variable. So it would look like: -220+y=150
y=370
If you did it by graphing you would simply graph both equations on the same graph and the point that they intersect at would be your answer.

The length of a rectangle is 3 inches greater than the width. A. Write a polynomial that represents the area of the rectangle.
B. Find the area of the rectangle when the width is 4 inches.

Answers

Answer:

A - x (x+3) = Area of the rectangle

B- 28 inches squared

Step-by-step explanation:

B- using the formula from A

x = 4

x + 3 = 4 +3 = 7

4 times 7 is 28

Answer: 28ins²

Step-by-step explanation:

From the question, let the width of the rectangle = xins.

Therefore, the breadth = ( x + 3 )ins.

(A) The area of the rectangle which is L x B = x( x+ 3 )

= (x² + 3x)ins² . In polynomial.

(B) The area of the rectangle if the width is 4ins, that is if x = 4ins.To find the area, we substitute for x in the area above

= 4² + 3 x 4

= 16 + 12

= 28ins²

Select the two binomials that are factors of this trinomial x2+10x+16

Answers

So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

$x^2+2x+8x+16$