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Vlada [557]
3 years ago
13

Which point is a solution to this graphed system of inequalities?

Mathematics
1 answer:
Kitty [74]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

The solution has to be in the shaded area in order to be a solution. Only D. is in the shaded region, so that is your correct answer.

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Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic b
Anna007 [38]

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>

8 0
3 years ago
The product (x-10) (x + 2)​
Karolina [17]

Answer :

To find the product of (x + 8)(x – 10)

We know that

(x + a)(x + b) = x2 + (a + b)x + ab

In the expression (x + 8)(x – 10)

a = 8

b = -10

a + b = 8- 10 = -2

ab = 8 × (-10) = – 80

Substitute the values in the above equation

(x + 8)(x – 10) = x2 + (8 – 10)x + 8 × (-10)

(x + 8)(x – 10) = x2 – 2x – 80.

Thank you !

8 0
2 years ago
Will give brainliest if answer is correct.
Pachacha [2.7K]

Answer:

Length = 13

Width = 7

Step-by-step explanation:

Given:

length = 2(width) - 1

Area of a Rectangle = lω = 91 cm²

Calculation:

Area of a Rectangle = lω = 91 cm²

(2ω-1)ω = 91

= 2ω²- ω - 91 = 0

=(2ω+13)(ω-7)=0

ω = -6.5       ω=7

length = 2(width) - 1

l=2(7) - 1

l = 13

7 0
3 years ago
Read 2 more answers
Solve for the specified variable <br> ax-by=8 (b)
Lady_Fox [76]
Ax + by = 8

Subtract ax from both sides.

by = 8 - ax
 
Divide both sides by y.

b = (8-ax)/y
7 0
3 years ago
I have a pattern in each sequence what are the next two terms of each sequence 2 4 8 16
netineya [11]
32 and 64 as the previous term is multiplied by two 2 x2 =4 or 16x 2= 32
6 0
3 years ago
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