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zhannawk [14.2K]
3 years ago
6

Solve the system.

Mathematics
2 answers:
Ann [662]3 years ago
6 0

Answer: y=-2x+3

y=3x+-7

How do the slopes and y–intercepts of the two equations compare? The slopes and the y-intercepts are different.

They system represents lines that

Intersect at one point

Exactly one solution

Step-by-step explanation: Just did it :p

emmasim [6.3K]3 years ago
4 0

Answer:

x = 2

y = -1

Step-by-step explanation:

2x + y = 3

-2y = 14 - 6x

6x - 2y = 14

2x + y = 3 | ×3 |

6x - 2y = 14 | ×1 |

6x + 3y = 9

6x - 2y = 14

__________--

5y = -5

y = -5/5

y = -1

2x + y = 3

2x + (-1) = 3

2x = 3 + 1

2x = 4

x = 4/2

x = 2

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100 POINTS NO JOKE
Alenkasestr [34]

Answer: y=18x

Step-by-step explanation:

18$ each. You start off with no profit so.

5 0
3 years ago
What is the GCF of 15abc^2 and 25a^3bc
andrezito [222]
The first part of the answer can be found by finding the GCF between 15 and 25. 15 is divisible by 1, 3, 5, and 15. 25 is divisible by 1, 5, and 25. You can see that their GCF is 5. Next, you need to look at the variables. The first monomial has a, b, and c^{2}. The second monomial has a^{3}, b, and c. They each have at least one a, one b, and one c, so those will be in the GCF (abc). If you put that together with the 5, you get that the GCF is 5abc.
8 0
4 years ago
Read 2 more answers
X+2>7 write the solution set in interval notation
REY [17]

Answer:

(5, infinitysymbol)

Step-by-step explanation:

First solve the inequality. Subtract 2 from both sides.

x + 2 > 7

x > 5

So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.

Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.

So x > 5 in interval notation is:

(5, infinitysymbol)

This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.

5 0
2 years ago
The front of an A-frame cabin in a national park is the shape of a triangle with an area of 564 ft.² if the height is 1 feet les
aleksandrvk [35]

Answer:

Base = 24 ft; height = 47 ft  

Step-by-step explanation:

The formula for the area of a triangle is

A = ½bh

Let x = the base. Then

2x - 1 = the height

\begin{array}{ccc}A & = & \dfrac{1}{2}bh\\\\564 & = & \dfrac{1}{2}x(2x - 1)\\ \\1128 & = & x(2x - 1)\\& = & 2x^{2} - x\\2x^{2} - x - 1128 & = & 0\\(2x + 47)(x - 24) & = & 0\\2x + 47 = 0 &\qquad & x - 24 = 0\\2x = -47 & \qquad & x = \mathbf{24}\\x = -23.5 & \qquad & \\\end{array}

We reject the negative value, so x = 24 ft

Base = x = 24 ft

Height = 2x - 1 = 2(24)-1 = 48 - 1 = 47 ft

Check:

564 = ½ × 24 × 47

564 = 564

OK

3 0
3 years ago
Find the volume of the cone in terms of pi. <br>405TT cm3 <br>324TT cm3 <br>72TT cm3​
Elden [556K]

Answer:

324πcm³

Step-by-step explanation:

Volume=⅓πr²h

⅓*π*9²*12

=324πcm³

3 0
3 years ago
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