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.
I'll give brainiest , 5 stares help
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.
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
Two angles are a linear pair. The measure of one angle is 5 more than 2/3 of the other. find the measure of both angles
Answer:
a landowner recently sold a large plot of land the sale decrease of his total lack Courage by 12%
Step-by-step explanation:
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:
https://brainly.com/question/29223887
#SPJ2
Need help with simple ratio will make brainliest
9/10 = d/6.4 what does d equal
Solve the linear equation 5(8x+2) -64=2(8x9) Find X
Can someone tell me which ones in first place and which ones in last place?
Jason sells semi-trucks at a local truck dealer. He is paid a base pay of $1,000 and 1.5% on his monthly sales. How much will he make if he sells $425,000 worth of trucks this month?
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
.Peter has 288 coins. 25% of these coins are $1 coins. He wants to increase tt
number of $1 coins to 64%. How many more $1 coins must he collect?
can some one please help me with thissss if you don't mind
Geometry please help-
Find PQ
Answer:
PQ = 29
Step-by-step explanation:
Lengths of the two tangents from a external point to the circle is equal
14x - 13 = 8x + 5 {add 13 to both sides}
14x = 8x + 5 + 13
14x = 8x + 18
14x - 8x = 18
6x = 18
x = 18/6
x = 3
PQ = 14*3 - 13
= 42 - 13
= 29
Answer:
PQ = 29
Step-by-step explanation:
As we know that,
[tex]\star[/tex] Lengths of two tangents from a external point to the circle is equal.
[tex]\dashrightarrow\bf{14x - 13 = 8x + 5 \: .... \: (Adding \: 13 \: to \: both \: the \: sides)} \\ \\ \dashrightarrow\bf{14x = 8x + 5 + 13} \\ \\ \dashrightarrow\bf{14x = 8x + 18} \\ \\ \dashrightarrow\bf{14 - 8x = 18} \\ \\ \dashrightarrow\bf{6x = 18} \\ \\ \dashrightarrow\bf{\frac{\cancel{18}}{\cancel{6}}} \\ \\ \dashrightarrow\boxed{ \bf \red{x = 3}} \: \bigstar[/tex]We've been asked to find out PQ;
[tex]:\implies\tt{PQ = 14x - 13} \\ \\ :\implies\tt{PQ = 14 \times (3) - 13} \\ \\ :\implies\tt{PQ = 42 - 13} \\ \\ \implies\boxed{ \tt\blue{PQ = 29}} \: \bigstar[/tex]Thus,
The length of PQ is 29.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
the sum of the areas of all the surfaces of a 3D figure
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.
Surface area is the sum of the areas of all the surfaces of a 3D figure
What is an area?An area is the amount of space occupied by a two dimensional (has length and width) shape or object.
A three dimensional shape is a shape with length, width and height. Surface area is the sum of the areas of all the surfaces of a 3D figure
Find out more on area at: https://brainly.com/question/25292087
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.
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?
Help plsssssssssssss
Answer:
B
Step-by-step explanation:
The hight compared to the volume should be less hight but more volume
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 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
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
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:
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.
https://brainly.com/question/25813512
#SPJ2
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.
a) Find the area of triangles in which
(i) base = 8 cm, height = 5.5 cm
(ii) base = 12 cm, height = 8.4 cm
Answer:
Step-by-step explanation:
1) B=8cm H=5.5
A=1/2xbxh
A=I/2 x 8 x 5.5
A=22
The area of the first traingle is 22cm
2)
B=12cm h=8.4
A=1/2xbxh
A=1/2 x 12 x 8.4
A=50.4
Hope it helps...This is My first Answer...Follow me?!
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).
-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
The graph shows the volume of oil (L litres) in a tank at time t seconds. a)find the gradient of the graph b)explain what this gradient represents. the graph intersects the volume axis at L=2 c)explain what this value represents
Answer/Step-by-step explanation:
a. Using two points on the line (0, 2) and (4, 12), find the gradient:
Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5
Gradient = 2.5
b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.
i.e. 2.5 litres per second
c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.