Which graph correctly solves the system of equations below? y = − x2 + 1 y = x2 − 4A) quadratic graph opening up and quadratic graph opening down. They do not intersect.
B) quadratic graph opening up and quadratic graph facing down. They intersect at negative 2, negative 3 and 2, negative 3.
C) Two intercepting parabolas are shown, one facing downward and one facing upward. The downward facing parabola has a maximum at (0,1) and intercepts the x axis at 1 and negative 1. The upward facing parabola has a minimum at (0,-4) and intercepts the x axis at 2 and negative 2
D) two quadratic graphs opening up. They intersect at 0, negative 4.
Answers
Answer:
C) Two intercepting parabolas are shown, one facing downward and one facing upward. The downward facing parabola has a maximum at (0,1) and intercepts the x axis at 1 and negative 1. The upward facing parabola has a minimum at (0,-4) and intercepts the x axis at 2 and negative 2
Step-by-step explanation:
As shown in the attached, the graph of y = -x² +1 has its vertex at (0, 1) and opens downward. It crosses the x-axis at ±1. The graph of y = x² -4 has its vertex at (0, -4), opens upward, and crosses the x-axis at ±2. The description of this graph matches choice C.
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Find the measure of the angle indicated.1243151°687The measure of angle 7 is
-85 minus -16 HELP!!!!
The point 3,4 lies on the graph of f(x)= sqrt(2x+a). Which ordered pair below lies on the graph of g(x)=1/2sqrt(2x+a)?a)3/2,2 b)5/2,3/2 c)3,2 d)27,8
Solve this inequality: 3p – 16 < 20. A. p < 1/3B. p < 11/3C. p < 12D. p < –12
Answers
Answer:
D
Step-by-step explanation:
Secant is hypotenuse / adjacent, while cosine is adjacent / hypotenuse. In fact, secant = 1/cosine.
Here, we know that cos(θ) = 2/19, so sec(θ) = 1/(2/19) = 19/2.
The answer is thus D.
Answer:
D
Step-by-step explanation:
sec(theta) = 1/cos(theta)
= 1 ÷ 2/19
= 1 × 19/2
= 19/2
Answers
Answer:
The one on the bottom left.
Step-by-step explanation:
To find out which one is a function, we would use the vertical line test. First you create a vertical line with your finger, pencil, or another object. If there are two dots that pass a vertical line, it would not be a function. Only one dot can cross the vertical line for it to be a function.
Answers
for every 5 units of women, there are 7 units of men so
there are 140 men and that equals 7 units so
140=7 units
solve for 1 unit
140/7=20
1 unit=20
women=5 units
5 times 20=100
women=100
total=women+men=100+140=240
another way would be to add up the units (5+7=12) and multiply by the amount per 1 unit
Answers
The main answer is 6 multiplied by 6 equals 36 by dividing 36 by 6, to find that x is equal to 6 by multiplication and solving equations
Given information: 6x = 36.
To find the number that, when multiplied by 6, equals 36.
To find the number, follow these steps:
Let's assume the unknown number is represented by x.
Set up the equation using the multiplication operation:
Looking for a number (x) that, when multiplied by 6, equals 36.
Solve the equation for x:
Dividing both sides of the equation by 6:
Simplifying the division:
x = 6
By dividing 36 by 6, find that x is equal to 6.
Therefore, 6 multiplied by 6 equals 36.
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x + y + z = 6
2x + 4y - z = 7
2x - 4y + 2z = 0
Answers
Final answer:
To solve the system of equations, we can use the substitution method. The solution to the system of equations is x = 1, y = 2, and z = 3.
Explanation:
To solve the system of equations algebraically, we can use the method of substitution or elimination. Let's use substitution method:
- From the first equation, we can solve for x to get x = 6 - y - z.
- Substitute the value of x in the other two equations.
- After substituting, solve the resulting two equations to find the values of y and z.
- Once y and z are found, substitute them back into the first equation to find the value of x.
The solution to the system of equations is x = 1, y = 2, and z = 3.
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Answers
(5x^2+7x-4) - (-3x^2-4x+5)=
Distribute -1 through the second parentheses
5x^2+7x-4 +3x^2+4x-5=
combine like terms
8x^2 + 11x - 9