Answer:
x > −2
Step-by-step explanation:
You need to isolate the variable. You can do this by first subtracting 3/2 from both sides of the inequality sign.
You will get -x/2 < 2/2.
Next, since x is being divided by -2, you will multiply it by -2 to undo it. Do this to both sides.
Note that when multiplying or dividing by a negative you will flip the inequality sign. '<' becomes '>' and '>' becomes '<'.
You will get x > -2.
Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D={-4,-2,0, 2}?
Given:
The function is
[tex]f(x)=4x+9[/tex]
Domain = {-4, -2, 0, 2}
To find:
The range of the given function for the given domain.
Solution:
We know that domain is the set of input values and range is the set of output values.
We have, [tex]f(x)=4x+9[/tex] and domain = {-4, -2, 0, 2}.
Putting x=-4 in the given function, we get
[tex]f(-4)=4(-4)+9[/tex]
[tex]f(-4)=-16+9[/tex]
[tex]f(-4)=-7[/tex]
Putting x=-2 in the given function, we get
[tex]f(-2)=4(-2)+9[/tex]
[tex]f(-2)=-8+9[/tex]
[tex]f(-2)=1[/tex]
Putting x=0 in the given function, we get
[tex]f(0)=4(0)+9[/tex]
[tex]f(0)=0+9[/tex]
[tex]f(0)=9[/tex]
Putting x=2 in the given function, we get
[tex]f(2)=4(2)+9[/tex]
[tex]f(2)=8+9[/tex]
[tex]f(2)=17[/tex]
The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.
Therefore, the correct option is D.
What is the greatest common factor for the following ratio, 7 : 56
Answer:
7
Step-by-step explanation:
A plane takes off and climbs at a 10º angle. After flying over 12 miles of ground, what will the plane's altitude, h, be? Round to the nearest tenth of a mile.
=========================================================
Explanation:
A diagram is optional, but I find it helps sometimes. The diagram is shown below.
Opposite the 10 degree angle is h. So we consider h the opposite side.
The hypotenuse is 12. The hypotenuse is always opposite the 90 degree angle.
Apply the sine ratio to solve for h
sin(angle) = opposite/hypotenuse
sin(10) = h/12
12*sin(10) = h
h = 12*sin(10)
h = 2.08377813200317 which is approximate
h = 2.1 miles is the plane's altitude which is also approximate
Side note: 2.1 miles is equal to 11,088 feet (multiply by 5280 to convert from miles to feet).
Which equation represents a line which is perpendicular to the y-axis?
Answer:
The real answer is y=5
Step-by-step explanation:
because its horizontal
y=5 represents a line which is perpendicular to the y-axis
What is Straight line?A line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects
We need to find the equation which represents a line that is perpendicular to the y-axis
A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.
In the given options
x=-6
y=x-4
y=5
and x=-2y
The only horizontal line is y=5
Hence, y=5 represents a line which is perpendicular to the y-axis
To learn more on Straight lines click:
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need help with this.
Step-by-step explanation:
put some x values into the equation
i.e : -2, -1, 0 ,1 ,2
3/5 (-2) +2 = 4/5 (-2, 4/5)
3/5 (-1) +2 = 7/5 (-1, 7/5)
3/5 (0) +2 = 2 (0, 2)
3/5 (1) +2 = 2.6 (1, 2.6)
3/5 (2) +2= 3.2 (2, 3.2)
Then plot these on the graph as corodinates with the x values
-2 (x - 3) + 6 = - (x + 5)
Solve for x and SHOW WORK please :)
Answer:
x=17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
-2x+6+6=-x-5
-2x+x=-5-6-6
-x=-17
x=17
4x + 4y = 20
2x - 2y = 2 .
Answer: Can you tell me how do you want it answered?
Step-by-step explanation:
How to simplify 12 to the 0 power
Answer: 1
Step-by-step explanation:
Rule of thumb:
Anything to the POWER OF 0 will Always be 1
12^0=1
2011. (2012?- 9).2013
2015. ( 2012-0
Answer:
2012 - 9 = 2003
Step-by-step explanation:
2011. (2012 - 9 = 2003). 2013
2015 ( 2012 - 0 = 2012 )
Answer:
8.2013
Step-by-step explanation:
What do you need to know?
9514 1404 393
Answer:
A. One
Step-by-step explanation:
Descarte's rule of signs is used to answer this question. The signs of the coefficients are ...
+ + + -
There is one sign change, hence one positive real root.
Help plsssssssssssss
Answer:
B
Step-by-step explanation:
The hight compared to the volume should be less hight but more volume
Use two of the equations below to write a system of equations with no solution.
Y = 3x + 1
Y = 3x - 1
-Y= -3x + 1
Answer:
Y = 3x + 1
Y = 3x - 1
Step-by-step explanation:
A system of equations will have no solution if the lines are parallel to each other. Two lines are parallel when they have the same slope. All of your given equations are in the slope-intercept form. Recall the slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. Therefore, the two equations would be Y = 3x + 1 and Y = 3x - 1, which both have a slope of m=3.
PLEASE HELP ASAP!!
Which relationship is always correct for the angles x, y, and z of triangle ABC?
x + z = y
y + z = x
x + y + z = 180 degrees
x + y + z = 90 degrees
The relationship between the angles of a triangle is y + z = x. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The triangle ABC is shown. The sum of the interior angle of the triangle is 180°. Then the equation is given as,
∠BAC + y + z = 180° ...1
The sum of the interior angle and exterior angle is equal to 180°. Then the equation is given as,
∠BAC + x = 180° ...2
From equations 1 and 2, then we have
∠BAC + y + z = ∠BAC + x
y + z = x
The relationship between the angles of a triangle is y + z = x. Then the correct option is B.
More about the triangle link is given below.
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how do I solve this?
Answer:
v = 22
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BI}{MO}[/tex] = [tex]\frac{BG}{MP}[/tex] , substitute values
[tex]\frac{v}{33}[/tex] = [tex]\frac{64}{96}[/tex] ( cross- multiply )
96v = 2112 ( divide both sides by 96 )
v = 22
Need help with simple ratio will make brainliest
The sum of the ages of Gusion and Lesley is 42. Four years ago, Gusion was twice as old as Lesley. Find the present age of each.
Answer:
Gusion = 2years
Lesley= 40years
Step-by-step explanation:
Let Guison age be x
Let Lesley age be y
If the sum of the ages of Gusion and Lesley is 42, then;
x+ y =42 ... 1
Four years ago
Guison age = x - 4
Lesley age = y - 4
If four years ago, Gusion was twice as old as Lesley, then;
x - 4 = 2(y-4)
x - 4 = 2y - 9
x - 2y = -9+4
x - 2y = -5 .... 2
Substract 1 from 2;
y + 2y = 1+5
3y = 6
y = 2
From 1;
x = 42 - y
x = 42-2
x = 40
Hence present age pf Guison is 2 years
Present age of Lesley is 40 years
Find the sides and angles please help me
Answer: if this uses the Pythagorean theorem then it’s the square root of 83.24
Step-by-step explanation: the formula is a^2+b^2=c^2 the hypotenuse is c^2
3. The sum of two numbers is 17. The difference between the larger number and the
smaller number is 7. What is the value of the smaller number?
Answer:
5
Step-by-step explanation:
To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.
x + y = 17
x - y = 7
We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x
2x = 24
x = 12 (Divide both sides by 2)
Now that we know the value of x, we can substitute it into one of our original equations to solve for y.
12 + y = 17
y = 5 (Subtract 12 from both sides)
So, the smaller number is 5.
Who know the answer of this? And can u pls explain for me?
Answer:
1.5 kg
Step-by-step explanation:
17*92 g = 1564
1564/1000= 1.564 kg
Answer:
1.75kg
Step-by-step explanation:
If he needs to plant 17 bulbs and he needs 92 grams of soil for each you would multiply both to see how much
17 x 92 = 1564
1564 is more than what the 1.5kg bag would have so it would be the next bigger bag which is 1.75kg
the number of students enrolled at a college is 15,000 and grows 4% each year
the initial amount A is ?
Answer:
15,000
Step-by-step explanation:
initial amount is basically the starting amount
How do you solve g(x)=x^2 - 324
Answer:
I don't see how you can get a solution.
Step-by-step explanation:
You cannot factor or evaluate that problem with values for x or g(x)
A composite figure is formed by combining a square and a triangle. Its total area is 57.5 ft2. The area of the triangle is 32.5 ft2. What is the length of each side of the square? Complete the explanation. The area of the square is ft2, so each side of the square is ft.
Answer:
Area of square = Composite Area - Area of Triangle
= 32.5 - 7.5 = 25
Area of square = 25 square feet.
Formula for area of square = s²
s² = 25
s = √25
s = 5
Length of each side of square = 5 feet.
Question:
A composite figure is formed by combining a square and a triangle. Its total area is 31.5 ft2. The area of the triangle is 15.5 ft2. What is the length of each side of the square? Complete the explanation.
Answer:
The area of the square is 16 ft², so each side of the square is 4 ft.
Is 12/15 greater than 1
Answer: well no I dont think so because it’s not a whole. it would be 12/12 I believe.
Step-by-step explanation:
If Ishan scored 789 out of 800 in his exams how much did he score in percentage
Answer:
98.6%
Step-by-step explanation:
789/800 multiplication 100% then got the answer
6 m
10 m
4 m
15 m
find the perimeter
Answer:
Add all given lengths:
Step-by-step explanation:
6 + 10 = 16 + 4 = 20 + 15 = 35
9/10 = d/6.4 what does d equal
SUSPECT #077802
MR. MATT A MATTICS
CHARGE: MURDER
Mr. Motties has been a sworn enemy of Mr Boddy ever since they were in Boot Camo (according to him, Me
Boddy put Noir in his shampoo bottle on the night before Mattias received a prestigious award) Moties cims
that he was slipping blue pills into Boddy's vitamin containers. The only problem is. Boddy reported his
Suspicions to his doctor, and his doctor gave him on antidote - small green pilis
The number of blue pills Mr. Motties gave him wos 3 more than the number of green pils Mr Body too. The
total number of green pills and blue pills Mr Boddy took wos 17 pills. He needed to take at least 1 us for
The effects to be deadly
in your core Log, write a system of equations, then solve to find the number of blue pils Mr Body took se
Mattis telling the truth?
find the value of X please help me its due in an hour !!!
Answer:
x=5
Step-by-step explanation:
3x+20 = 10x -15 (vert.opp ∠'s equal)
3x - 10x = - 15 - 20
-7x = -35
x= - 35/-7
x= 5
Solve the linear equation 5(8x+2) -64=2(8x9) Find X
Area of a square is 196 cm²
. Find the perimeter of the square. (ii) If the square is altered into a rectangle by increasing the length by x
centimeters, and decreasing the breadth by y centimeters, find the area of
the rectangle in terms of x and y.
Step-by-step explanation:
Area of Square=side²
Side=√(Area of the square)
Given area of the square=196cm²
Side of the square=√196=14cm
Perimeter of square=4*side=4*14=56cm
Length of the rectangle=(14+x)cm
Breadth of the rectangle=(14-y)cm
Area of rectangle=Length*Breadth=
(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²