Answer:
A. 4x² + 9x/4 - 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x/4 - 3
g(x) = 4x² + 2x - 4
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = x/4 - 3 + 4x² + 2x - 4Combine like terms: (f + g)(x) = 4x² + 9x/4 - 7HELP ASAP 10 POINTS AND BRAINLIEST
Answer:
135
Step-by-step explanation:
The area is given by
A = bh where b is the base and h is the height
A = 9* 15
A =135
Answer:
[tex]135 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]area = b \times h \\ = 9 \times 15 \\ = 135 \: {units}^{2} [/tex]
A dot plot with an axis marked from 0 to 10 at increments of 1 is shown. Plot shows 8 dots at 0, 7 dots at 1, 5 dots at 2, 4 dots at 3, 2 dots at 4, and 1 dot at 10.
A)
The mean is equal to the median and the data are symmetric.
B)
The peak is equal to the median and the data are skewed.
C)
The data are skewed and there is an outlier.
D)
The data are symmetric and there is an outlier.
Answer:
C) The data are skewed and there is an outlier.Step-by-step explanation:
Its clear from the dot plot that:
There is an outlier at 10, since majority of data are concentrated at 0-4 interval with only one far away.The data are skewed, since most data concentrated to one side of the median.So, the correct choice is C
The given information in the dot plot is,
i) An outlier is present at 10.
ii) The data's majority are concentrated at 0 to 4 interval.
iii) 10 is the only one, which is far away.
iv) We confirm that the data are skewed.
v) Because the most data is concentrated in one median's side.
Then the final answer will be,
C) The data are skewed and there is an outlier.
Therefore, option (C) is the answer.
Find the measure of the missing angle using the exterior angle sum theorm
Step-by-step explanation:
the sum of angels of a triangle is 180°
130+ ? + (180-160) = 180
130+ ? +20= 180
150+ ? = 180
? = 30°
the missing angle is 30°
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 10 cm, the edge length of the base is increasing at a rate of 3 cm/min, the height of the box is 5 cm, and the height is decreasing at a rate of 1 cm/min.
A.The volume of the box is decreasing at a rate of 200 cm3/min.
B.The volume of the box is increasing at a rate of 400 cm3/min.
C.The volume of the box is decreasing at a rate of 400 cm3/min.
D.The volume of the box is increasing at a rate of 200 cm3/min.
Answer:
aaaaa.List down 5 steps in creating 3d Model
digitally enhanced product design for a
paper bag.
1.__________________________________
2.__________________________________
3.__________________________________
4.__________________________________
5.__________________________________
Find the measure of the indicated aces and angles
Answer:
a=21
b=69
c=42
d=138
Step-by-step explanation:
c is supplementary to d (which is 138), so c=180-138= 42.
angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.
angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.
What is the measure of DE?
A) 51
B) 68
C) 85
D) 56
Answer:
Option (B) is correct
Step-by-step explanation:
Write an equation that represents the line.
Use exact numbers.
Answer:
-4 and 2
Step-by-step explanation:
The exact numbers of that position is -4 and 2
Please help timed question (question included in photo). I'll mark as brainiest!
Answer:
Step-by-step explanation:
This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:
[tex]tan(2)=\frac{200}{x}[/tex] and
[tex]x=\frac{200}{tan(2)}[/tex] so
x = 5727.25 feet, the third choice down
Answer:
[tex]tan2=200/x[/tex] [tex]x=200/tan2[/tex]
[tex]x=5,727.25[/tex]
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hope it helps..
have a great day!!
Mark rolls a fair dice 48 times. How many times would Mark expect to roll a one?
Answer:
8 Times, Mark would expect to roll a one 'Eight times'
Mr. Maynard's class is taking a field trip to a science museum. They will be at the museum for 3 hours, and they want to divide their time evenly among the 10 exhibits.
How much time should they spend at each exhibit?
Write your answer as a proper fraction or mixed number.
They have a total time of 3 hours and they equally spend at each exhibit which means that they spent 18 minutes on each exhibit.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the given information in the question,
Total time = 3 hours
Time in minutes = 3 × 60 = 180 minutes
They have 10 exhibits to visit.
The time spent on each exhibit is,
180/10 = 18 minutes on each exhibit.
To know more about arithmetic operations:
https://brainly.com/question/13585407
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PLEASE HELP ASAP!!!!
Use the graph of ƒ to find x if ƒ(x) = 2.
x = –0.5
x = –8
(–∞, –0.5)
x = 0.5
Answer:
[tex]{ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}[/tex]
help and explain//////////////////////////////////////////////
Answer:
(f + g)(x) = 5x - 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 2x + 4 + 3x - 7 ← collect like terms
= 5x - 3
Answer:
5x - 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 2x + 4 + ( 3x - 7 )
= 5x - 3
divide x3-3x2+x-2 by 10x4-14x3-10x2+6x-10 the quotient is and the remainder is
Answer:
The quotient is 10x+16
The remainder is 28x²+10x+22
Step-by-step explanation:
Solution,
___________________________
x^3 - 3x^2 + x - 2 ] 10x^4 - 14x^3 - 10x^2 + 6x - 10 [ 10x + 16
10x^4 - 30x^3 + 10x^2 - 20x
16x^3 - 20x^2 + 26x - 10
16x^3 - 48x^2 + 16 x - 32
28x^2 + 10x + 22
Answer:
The quotient is 10x+16
The remainder is 28x²+10x+22
Step-by-step explanation:
What is the best description for the graph below
Answer:
B. The graph decreases everywhereStep-by-step explanation:
We see a graph going down as x-value increases.
It is not increasing (line shod go up) or constant (horizontal) graph..
Correct choice is B
Answer:
The graph decreases everywhere.
Step-by-step explanation:
As we view the graph, in the x - axis from 0 to 9 the line has came down (decreased). So, we can say that the graph decreases everywhere.
Find the measure of the indicated side
A discount site decreases the price of cell phones by . Select the two expressions that represent the discounted price of a phone costing dollars.
A
0.40ddd
B
0.60ddd
C
d−d-d−0.60
D
d−d-d−0.60ddd
E
1−-−0.60ddd
The percentage discount given on the prove is not supplied ; Assume the percentage discount given on the phone is 60%
Answer:
0.4d
d - 0.6d
Step-by-step explanation:
Given that :
Percentage Discount given on phone = 60%
The discounted pice :
Initial percentage = 100%
Discount percentage = 60%
(100% - 60%) of price
(100% - 60%) * d
40%*d
0.4d
Also ;
(100% - 60%) * d
100%*d - 60%d
d - 0.6d
If f(x) = 3x - 2 and g(x) = x2 +1, find (f +9)(x).
Answer:
A. x² + 3x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 2
g(x) = x² + 1
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = 3x - 2 + x² + 1Combine like terms: (f + g)(x) = x² + 3x - 1Answer:
D. x² + 3x + 1
Step-by-step explanation:
Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1
Find :- ( f + g ) ( x )
Solution :-
plug 3x + 2 ɑs f ɑnd x² + 1 ɑs g in the functions.( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))
remove unnecessɑry pɑrɑntheses( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )
combine like terms( f + g ) ( x ) = ( x² + 3x - 1 )
The area of the rectangular sandbox at Dave's school is 117 square feet. The sandbox has a width of 9 feet as shown in the diagram. What is the perimeter of the sandbox?
Answer:
ay bru ima tell yu dhis rn is c
Step-by-step explanation:
Currently they sell a tub of popcorn for $10. SHOW or EXPLAIN what the cost of the cone of popcorn should be. Door context: The tub has a volume of 540.473 and costs $10. The cone has a volume of 140.035. I need the cost of the cone and preferibly be taught how to do this.
Answer:
The cost of cone of popcorn is $ 2.59.
Step-by-step explanation:
The tub has a volume of 540.473 and costs $10. The cone has a volume of 140.035.
The cost of per unit volume is
$10/540.473
The cost of cone of popcorn is
[tex]\frac{10}{540.473}\times 140.035\\\\2.59[/tex]
probability of multiple events
A standard number die is tossed once, and then again. Find P(first
roll = 1 and second roll = 1),
help pls
Answer:
1/36
Step-by-step explanation:
A standard die has 6 faces
The numbers 1 through 6 on singly on each face
so the probability of tossing a 1 would be;
1/6
The probability of tossing another 1 would still be same 1/6
So the probability of tossing a 1 and another 1 would be the product of the two tosses as follows;
1/6 * 1/6 = 1/36
Suggest methods (other than Cartesian Coordinates) of describing the location of points on a plane.
Answer:
There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.
Step-by-step explanation:
There are two alternative ways of describing the location of points on a plane:
(i) Polar coordinate system (a.k.a. Circular coordinate system).
(ii) Elliptic coordinate system.
Now we proceed to explain briefly the characteristic of each option:
Polar coordinate system: [tex](r, \theta)[/tex]
Where:
[tex]r[/tex] - Distance of the point with respect to origin.
[tex]\theta[/tex] - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (2)
Elliptic coordinate system: [tex](\mu, \nu)[/tex]
Where [tex]\mu[/tex] and [tex]\nu[/tex] are elliptical coordinates.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]x = a\cdot \cosh \mu \cdot \cos \nu[/tex] (3)
[tex]y = a \cdot \sinh \mu \cdot \sin \nu[/tex] (4)
Where [tex]a[/tex] is the distance between origin and any of the foci along the x axis.
What is the standard form of the expression (3x+4)(x_8)
Answer:
[tex]\left(3x+4\right)\left(x-8\right)[/tex]
[tex]a=3x,\:b=4,\:c=x,\:d=-8[/tex]
[tex]=3xx-3\cdot \:8x+4x-4\cdot \:8[/tex]
[tex]=3x^2-20x-32[/tex]
--------------------------
hope it helps...
have a great day!!
represent the following additions on a number line 3+5
Maths assignment
9p^2-16q^2
Answer:
[tex]9p^2-16q^2[/tex]
[tex](3p)^{2} -(4p)^{2}[/tex]
[tex]\underline{x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]
[tex]\left(3p\right)^2-\left(4q\right)^2=\left(3p+4q\right)\left(3p-4q\right)[/tex]
[tex]=\left(3p+4q\right)\left(3p-4q\right)[/tex]
------------------------
hope it helps....
have a great day!!
Solve the equation: 12 - x (x - 3) = (6 - x)(x + 2)
Answer: the answer is 0
Why 0?:
Step 1: Simplify both sides of the equation
-x * x= -x²
-x * -3= 3x all together it is ( -x²+3x+12)
for the other side:
-x * x= -x²
6 * x= 6x and x * 2= 2x and 6 * 2= 12
then subtract 6x-4x= 2x so final would be = −x²+4x+12
Step 2: Add x² to both sides.
−x²+3x+12+x²=−x²+4x+12+x² then we are left with 3x+12=4x+12
Step 3: Subtract 4x from both sides.
3x+12−4x=4x+12−4x --> −x+12=12
Step 4: Subtract 12 from both sides.
−x+12−12=12−12
−x=0
Step 5: Divide both sides by -1 or -x
x=0
Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many problems as Vicki. The expression shows how many problems they have worked altogether.
Answer:
p + 4p
5p
Step-by-step explanation:
Problems Vicki solved = p
Tamra worked 4 times as many problems as Vicki = 4 x p = 4p
total problems solved by both of them =4p + p
= 5p
What is 8 x 3 + 10 - 13 x 2? Show your work.
Will give first answer brainliest
Hello!
8 × 3 + 10 - 13 × 2 =
= 24 + 10 - 13 × 2 =
= 24 + 10 - 26 =
= 34 - 26 =
= 8
Good luck! :)
Answer:
8
Step-by-step explanation:
According to bdmas rule
First multiply 8 and 3 or 13 and 2
Then, there will be 24 + 10 - 26
Then add 24 + 10, there will be 34
and again minus by 26
Then finally answer will be 8
find the value of x,if the distance between p(5,2) and Q(x,-2)be 5 units.
Answer:
points srru
Step-by-step explanation:
Answer:
Step-by-step explanation:
PQ=√((x-5)²+(-2-2)²)=√((x-5)²+16)=5
squaring
(x-5)²+16=25
(x-5)²=25-16=9
x-5=±3
x=-3+5,3+5
or x=2,8
4 t-shirts and a hat costs £26.00
A t-shirt and a hat costs £8.00.
How much does a t-shirt cost?
How much does a hat cost?
Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!
Answer:
the first option
Step-by-step explanation:
it is directly there in the problem description.
f(x) = 1.8x - 10
g(x) = -4
so, for f(x)=g(x) that automatically means
1.8x - 10 = -4
1.8x = 6
x = 6/1.8 = (6/1) / (18/10) = 10×6 / 18×1 = 60/18 = 10/3