What is the solution to the following system of equations?y = -x2 - 5x - 4
y = -x2 + 9x - 18 (2 points)
(-1, -10)
(1, -10)
(-1, 10)
(1, 10)
Answers
You solve this by equating the two equations:
-x2 -5x -4 = -x2 +9x -18
-14x = -14
x =1
You then substitute 1 to either of the equations to find y:
y = -(1)2 -5(1) -4
y = -10
Therefore, the solution is (1,-10)
Answer:
It's B
Step-by-step explanation:
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Answers
2x + x = 180
3x = 180
x = 60
The x is 60°
2x° and 2 y on the straight angle is 180°
since you know 2x is 120°
180 - 120 = 60
There is 2 y, so you divide 60 by 2
60 ÷ 2 = 30
The y is 30°
Answers
Answer:
The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
Step-by-step explanation:
Let us assume that the cost of one muffins be x.
Let us assume that the cost of one 1 quarts of milk be y.
As given
The cost of 8 muffins and 2 quarts of mil is $18.
Than the equation becomes
8x + 2y = 18
As given
The cost of 3 muffins and 1 quart of milk is $7.50.
Than the equation becomes
3x + 1y = 7.50
Two equations are
8x + 2y = 18 and 3x + 1y = 7.50
Multiply 3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .
Thus
8x - 6x + 2y - 2y = 18 - 15
2x = 3
x = 1.5
Put x = 1.5 in 3x + 1y = 7.50
3 × 1.5 + y = 7.50
y = 7.50 - 4.5
y = 3
Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
m<1+m<2+m<3=180
m<2+ m<4=180
<2=<3
<2=<4
m<3=m<4
Answers
Answer:
Step-by-step explanation:
Let's analyze each statement and classify them as always true, sometimes true, or never true based on the figure provided:
1. m<1+m<4=180:
This statement is always true. In the figure, angles 1 and 4 are vertical angles, which means they are congruent. Therefore, m<1 = m<4, and their sum is always equal to 180 degrees.
2. m<1+m<2+m<3=180:
This statement is never true. In the figure, angles 1, 2, and 3 do not form a straight line. Therefore, the sum of m<1, m<2, and m<3 cannot be equal to 180 degrees.
3. m<2+ m<4=180:
This statement is sometimes true. In the figure, angles 2 and 4 are adjacent angles, and their sum can be equal to 180 degrees if they form a straight line. However, if angles 2 and 4 do not form a straight line, their sum will be less than 180 degrees.
4. <2=<3:
This statement is never true. In the figure, angles 2 and 3 are not congruent. Therefore, <2 is not equal to <3.
5. <2=<4:
This statement is sometimes true. In the figure, angles 2 and 4 can be congruent if they are vertical angles. However, if they are not vertical angles, they will not be congruent.
6. m<3=m<4:
This statement is always true. In the figure, angles 3 and 4 are vertical angles, which means they are congruent. Therefore, m<3 = m<4.
To summarize:
- Statement 1 is always true.
- Statement 2 is never true.
- Statement 3 is sometimes true.
- Statement 4 is never true.
- Statement 5 is sometimes true.
- Statement 6 is always true.
Answers
72 is 60% of 120
60 percent of 120 is equal to 72.
We have,
To find the number that corresponds to 60% of a given value, we can set up an equation and solve for the unknown number.
Let's represent the unknown number as "x."
The problem states that 60% (or 0.6 as a decimal) of that number is equal to 72.
0.6x = 72
To isolate "x," we divide both sides of the equation by 0.6:
x = 72 / 0.6
Performing the division:
x = 120
Therefore,
60% of 120 is equal to 72.
Learn more about percentages here:
#SPJ6
Answers
Answer:
5/8 on E2020
Step-by-step explanation:
b- (-2,1)
c- (-1-2)
d- (1,2)
Answers
4(-1) - 2(-2) = 0
-4 - (-4) = 0
-4 + 4 = 0
0 = 0
True
The correct answer is a. (-2, -1).