The solution to system of inequalities is often an infinite set of points? TRUE OR FALSE :
The solution to a system of inequalities can be represented on a graph by shading the region on the graph? TRUE OR FALSE :
When you graph multiple inequalities on the same graph, the region is where the shading overlaps are the solution region? TRUE OR FALSE :
If the inequality is in the slope-intercept form it is easy to shade the solution region. For example, if it is y< ….. Will the shading be below the line? TRUE OR FALSE :
Answer:
all of them are true
How many solutions exist for 3x^2 +4x + 2 = 0
Answer:
The given equation [tex]3x^2+4x+2=0[/tex] has exactly 2 solutions.
Step-by-step explanation:
Given : Equation [tex]3x^2+4x+2=0[/tex]
We have to find the number of solutions of the given equation [tex]3x^2+4x+2=0[/tex]
Consider the given equation [tex]3x^2+4x+2=0[/tex]
Since, The highest degree of the given polynomial is 2.
For a polynomial, the highest degree gives the number of solution of that polynomial.
So, [tex]3x^2+4x+2=0[/tex] has 2 solutions.
The given equation [tex]3x^2+4x+2=0[/tex] has exactly 2 solutions.
Joe plotted the points (2, 0.5), (1, 1), and (0.5, 2), and claimed that these points represent an inverse variation relationship. Which statement supports his claim?
xy = 1 for all points.
xy = for all points.
The graph of these points will be linear.
Inverse variation states that as one quantity increases, the other quantity also increases.
Answer:
xy = 1 for all points.
Step-by-step explanation:
Find the quotient (line over 42 is repeating)
_
(0.42. Divided by 2/9)
A)84/891
B)189/100
C)21/11
D)21
In a diagram of a landscape plan, the scale is 1 cm = 10 ft. in the diagram, the trees are 4.3 cm apart. How far apart should the actual trees be planted?
43 ft
430 ft
1.3 ft
0.43 ft
1.Write and exponent . (-4)(-4)
is it -4^2 i am so bad at this and i cannot wrap my head around it , can someone show me how to do it,
If f(x) = x2 + 1 and g(x) =x-4, which value is equivalent to (f•g)(10)
Answer:
(f•g)(10)= 606
Step-by-step explanation:
We have been given that
[tex]f(x)=x^2+1\\\\g(x)=x-4[/tex]
We have to find the value of (f•g)(10)
We can write (f•g)(10) = f(10)•g(10)
Let us find the value of the functions at x = 10
[tex]f(10)=10^2+1\\\\f(10)=100+1\\\\f(10)=101[/tex]
And the value of g(10) is
[tex]g(10)=10-4\\\\g(10)=6[/tex]
Hence,
(f•g)(10)
= f(10)•g(10)
= 101×6
= 606
Therefore, (f•g)(10)= 606
why is salt (NaCl) put on icy roads and sidewalks in the winter?
1.) It is Ionic and lowers the freezing point of water.
2.) It is Ionic and it raises the freezing point of water.
3.) It is Covalent and it lowers the freezing point of water.
4.) it is covalent and it raises the freezing point of water.
EXPLANATION NEEDED
didnt mean to put in math category oops
Why is sodium chloride (NaCl) put on icy roads and sidewalks in the winter?
Your answer would be
a) It is ionic and lowers the freezing point of water.
Explanation:
to lower the freezing point so people don't slip
Hope this helps.
Answer: a) It is ionic and lowers the freezing point of water.
Freezing point depression is the process of the decrease in the freezing point of a solvent by addition of a non-volatile solute such as salt. The salt is added to the icy roads so as to lower down the freezing point of water and preventing the formation of the ice on the road this phenomena is called as freezing point depression. The ionic components of the salt split apart like Na⁺ and Cl⁻ and interacts with the water molecules which combines to form the solid state ice. Thereby, ions of salt interrupting in the formation of the solid structure that is ice.
Joanie ran in 6 races last month. Each race was 360 feet long. What was the total distance that Joanie ran in the races?
A steel reinforcing rod is 12 ft. long and 1" thick in diameter. If a cubic foot of steel weighs 490 lb., how much does the rod weigh (to the nearest pound)?
Answer:
32 pounds
Step-by-step explanation:
Please help if your a Expert,Ace, or Genius if you are lower you can type the answer in but I might not take your answer as if it was correct.
What is the equation of a line with a slope of 7 and a point (1, 8) on the line?
A) y = 7x + 1
B) y = 7x
C) y = 7x + 8
D) y = 7x – 56
Hello there!
We have the slope and a point.
We can use the point-slope formula:
y-y1=m(x-x1)
Plug the point and the slope:
y-8=7(x-1)
y-8=7x-7
y=7x-7+8
y=7x+1
So the answer is Option A
Hope this helps
~Just a gloomy gal
#CarryOnLearning
[tex]SilentNature[/tex]
A bag contains 4 green marbles and 5 white marbles. Suppose a marble is randomly selected. What are the odds in favor of picking a white marble ?
A. 4 to 5
B. 4 to 9
C. 5 to 4
D. 5 to 9
The odds in favor of picking a white marble from a bag of 4 green and 5 white marbles are 5 to 4.
To find the odds in favor of picking a white marble from a bag that contains 4 green marbles and 5 white marbles, first understand that 'odds in favor' are defined as the ratio of the number of ways the desired outcome can occur to the number of ways the desired outcome cannot occur. In this scenario, the desired outcome is drawing a white marble, and there are 5 white marbles. The number of ways the desired outcome can not occur is the number of non-white marbles, which is 4 green ones. Therefore, the odds in favor of drawing a white marble are 5 white marbles to 4 non-white marbles, or 5 to 4.
Examine the system of equations.
−3x + y = 4
−9x + 5y = −1
What is the solution?
( _ , _ )
The value of x is -3.5 and y is 6.5 for the given equations.
What is an equation?An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equations will be solved as:-
−3x + y = 4
−9x + 5y = −1
Multiply the first equation by 3 and subtract the second equation.
−15x + 5y = 20
9x - 5y = -1
--------------------
-6x = 21
x = -3.5
Put x = -3.5 into first equation.
(-3x3.5) + y = 4
y = 6.5
Hence, the values are -3.5 and 6.5.
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These questions still confuse me greatly for some reason. I got the formula for it but I still don't know how to use it. Please, could someone explain it for me!
Write an equation for the nth term of the geometric sequence 896, -448, 224, ....
Find the eighth term of this sequence.
Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 169 m2. Find the length of each side of the original garden.
sqrt6 m
6 m
13 m
20 m,
Help me with this question please
what are the values of x and y?
a) x= 136/15, y= 17/15
b) x= 64/15, y= 17/15
c) x= 8/15, y= 136/15
d) x= 64/15, y= 136/15
Which of the following is not a polynomial identity?
A. (a^2+b^2)(c^2+d^2)=(ac-bd)^2+(ad+bc)
B. (a+b)^2=a^2+2ab+b^2
C. a^3-b^3=(a-b)(a^2+ab+b^2)
D. a^2(b+c)=a^3(b/a+c),
A polynomial identity is the identity whose left terms gives exactly right side terms.
In order to check if which of those have left side equals right side, we need to expand both side to the simplest step.
A. (a^2+b^2)(c^2+d^2)=(ac-bd)^2+(ad+bc)
We could foil left side (a^2+b^2)(c^2+d^2)
It gives a^2c^2+a^2d^2+b^2c^2+b^2d^2.
Let us expand right side (ac-bd)^2+(ad+bc)
We get (ac-bd)^2 = a^2c^2+b^2d^2-2acbd
(ac-bd)^2+(ad+bc) = a^2c^2+b^2d^2-2acbd +ad+bc
Left side a^2c^2+a^2d^2+b^2c^2+b^2d^2 is not equal to right side a^2c^2+b^2d^2-2acbd +ad+bc.
Therefore, A. (a^2+b^2)(c^2+d^2)=(ac-bd)^2+(ad+bc) is not a polynomial identity.
B. (a+b)^2=a^2+2ab+b^2
Let us expand left side of the identity, we get
(a+b)^2 = a^2 +2ab + b^2.
We got left side a^2 +2ab + b^2 equals right side a^2+2ab+b^2.
Therefore, B. (a+b)^2=a^2+2ab+b^2 is a polynomial identity.
C. a^3-b^3=(a-b)(a^2+ab+b^2)
Let us expand right side of the identity, we get
(a-b)(a^2+ab+b^2) = a^3+a^2b+ab^2-a^2b-ab^2-b^3 = a^3-b^2.
We got left side a^3-b^3 equals right side a^3-b^2.
Therefore, C. a^3-b^3=(a-b)(a^2+ab+b^2) is a polynomial identity.
D. a^2(b+c)=a^3(b/a +c)
Expanding left side
a^2(b+c) = a^2b + a^2c
Expanding right side
a^3(b/a +c) = a^3*b/a + a^3c = a^2b +a^3c.
Left side a^2b + a^2c is not equal to right side a^2b +a^3c.
Therefore, D. a^2(b+c)=a^3(b/a +c) is not a polynomial identity.
The correct answer is D. [tex]\(a^2(b+c)=a^3(b/a+c)\)[/tex] is not a polynomial identity.
To determine which option is not a polynomial identity, let's examine each one:
A. [tex]\( (a^2+b^2)(c^2+d^2)=(ac-bd)^2+(ad+bc)^2 \)[/tex]
This is a polynomial identity known as the Brahmagupta–Fibonacci identity. It can be verified by expanding the right-hand side and simplifying:
[tex]\( (ac-bd)^2+(ad+bc)^2 = a^2c^2 - 2abcd + b^2d^2 + a^2d^2 + 2abcd + b^2c^2 \)[/tex]
[tex]\( = a^2c^2 + b^2d^2 + a^2d^2 + b^2c^2 \)[/tex]
[tex]\( = a^2(c^2+d^2) + b^2(c^2+d^2) \)[/tex]
[tex]\( = (a^2+b^2)(c^2+d^2) \)[/tex]
B. [tex]\( (a+b)^2=a^2+2ab+b^2 \)[/tex]
This is the well-known square of a binomial, which is a basic algebraic identity.
C.[tex]\( a^3-b^3=(a-b)(a^2+ab+b^2) \)[/tex]
This is the difference of cubes factorization, which is a standard polynomial identity. It can be verified by expanding the right-hand side:
[tex]\( (a-b)(a^2+ab+b^2) = a^3 - a^2b + ab^2 - b^3 \)[/tex]
[tex]\( = a^3 - b^3 \)[/tex]
D.[tex]\( a^2(b+c)=a^3(b/a+c) \)[/tex]
This is not a polynomial identity because when we simplify the right-hand side, we get:
[tex]\( a^3(b/a+c) = a^3(b/a) + a^3c \)[/tex]
[tex]\( = aba^2 + a^3c \)[/tex]
[tex]\( = a^3b + a^3c \)[/tex]
This is not equivalent to the left-hand side, [tex]\( a^2b + a^2c \)[/tex], unless [tex]\( a = 0 \) or \( a^2 = a^3 \)[/tex], which is not true for all values of [tex]\( a \)[/tex]. Therefore, the expression is not a polynomial identity.
k=1; f(x)=4x^3-2x^2+2x+4; Lower bound?
Helpppppp. I’ll give brainlist
“The sum of 3 consecutive odd numbers is 69.” What is the third number in this sequence?
20 Points! Please Help!
Solve the system 2x + 2y = −6 and 3x − 2y = 11 by using graph paper or graphing technology. What is the solution to the system?
(-1,-7)
(1,-4)
(2,-1)
(3,-2)
20 Points! Please Help!
The point (−3, 1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.
Please explain everything!
To solve this problem yo need to have the "x", the "y", and the radius. To find the radius since it is not given we use the formula.
sq rt(-3^2+1^2)
sq rt(9+1)
sq rt(10) would be the length of the radius in this case.
Then we use the sine cosine and tangent fractions
sin:y/r
cos:x/r
tan:y/x
With the values plugged in the equations are
SIN:1/sqrt(10) Since there can´t be a sq rt in hte denominator we change it to 1(sq rt(10))/10
COS:-3/sqrt(10) Since there can´t be a sq rt in the denominator we change it to -3(sq rt(10))/10
TAN:1/-3 This one can stay the same.
This would be the measures of SIN, COS, and TAN.
Answer:
Sin
Tan
Csc
Cot
Step-by-step explanation:
I just did it on edg
If triangle DEF is translated 5 units down, what will be the coordinates of point E ′ in the image?
Answer: The correct option is
(B) (4, -2).
Step-by-step explanation: Given that the triangle DEF is translated units down.
We are to find the co-ordinates of point E' in the image.
From the graph, we note that
the co-ordinates of the vertices of triangle DEF are D(1, 2), E(4, 3) and F(3, 1).
We know that
if a point (x, y) is translated 5 units down, then its co-ordinates becomes
(x, y) → (x, y-5).
Therefore, after translation, the co-ordinates of the vertex E' in the image are
E(4, 3) → E'(4, 3-5) = E'(4, -2).
Thus, (B) is the correct option.
Answer:
(4 ,-2)
Step-by-step explanation:
draw and label a parallelogram with a base twice as long as the height and an area less than 60 square inches. find the area
A school spent $900 on new desk for the start of the year. that amount included a 6% sales tax . what was the original price of the desk. before tax
A triangle in the xy-coordinate plane has vertices with coordinates (7, 0), (0, 8), and (20, 10). what is the area of this triangle
Convert this identity to one using sine term(s) only.
1-2cos(r)^2
Write each equation in standard form using integers.
1) y=1/2x-10
2) y-3=G7/9(x+4)
please help n show work
The equations are simplified in the standard form will be x - 2y - 20 = 0 and 7x - 9y + 63 = 0.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The standard form is Ax + By + C = 0
The equations are given below.
y = (1/2)x - 10
y - 3 = (7/9)(x + 4)
Convert the equation y = (1/2)x - 10 into a standard form. Then we have
y = (1/2)x - 10
y = (x - 20) / 2
2y = x - 20
x - 2y - 20 = 0
Convert the equation y - 3 = (7/9)(x + 4) into a standard form. Then we have
y - 3 = (7/9)(x + 4)
y - 3 = (7x + 36) / 9
9y - 27 = 7x + 36
7x - 9y + 63 = 0
The equations are simplified in the standard form will be x - 2y - 20 = 0 and 7x - 9y + 63 = 0.
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