Answer:
[tex]\huge\boxed{\sf (f+g)(x) = 4x - 1}[/tex]
Step-by-step explanation:
Given functions:f(x) = 3x - 2g(x) = x + 1Solution:Add both functions
(f+g)(x) = 3x - 2 + x + 1
Combine like terms
(f+g)(x) = 3x + x - 2 + 1
(f+g)(x) = 4x - 1
[tex]\rule[225]{225}{2}[/tex]
Answer:
[tex](f+g)(x)=4x-1[/tex]
Step-by-step explanation:
FunctionsFunctions written in equation form usually have several parts:
nameinputMathematical rule/expression that tells what the function does to the input to give an output.So, for instance, [tex]g(x)=x+1[/tex] has a name of "g", has an input of "x", and has a rule that it adds 1 to the input to get the output.
The name of the function should tell what rule to follow (look for the equation with that function name), or it may give some details on what the function does.
Dealing with so many different problems, functions often get a default name of "f", "g", or "h".
If a function is special and/or used commonly, it will sometimes get a special name (like the natural logarithm function "ln").
This functionIn this case, the function is (f+g)(x). The function name means that the result of each function, f and g, will be added together, while using the same input "x" for both functions.
[tex](f+g)(x)=f(x)+g(x)\\=(3x-2)+(x+1)\\=3x+(-2)+x+1\\=4x+(-1)\\=4x-1[/tex]
So, given these two functions for "f" and "g", [tex](f+g)(x)=4x-1[/tex]
(LOOK AT IMAGE)
EG is a tangent to the circle below at point F.
Calculate the size of angle x.
Give reasons for your answer.
[tex]\angle FHD=74^{\circ}[/tex] (alternate segment theorem)
[tex]x=77^{\circ}[/tex] (angles in a triangle add to 180 degrees)
The figure shown is a regular octagon. The measure of
What is the measure of
Answer:
135°
Step-by-step explanation:
X is also 135° as is S , T U , V, W and Y
Answer:
b)135°
Step-by-step explanation:
The value of an interior angle of 135° is appreciated
In a regular polygon all interior angles are equal
Angle x = 135°
Hope this helps
Question
(01.02 MC)
For which of the following distributions is the mean most likely to be less than the median?
The distribution where the mean is most likely to be less than the median is the third histogram.
How to illustrate the information?It should be noted that when the histogram shows the day is left skewed, it means the mean is less than the median.
If it right skewed, the mean is greater than the median.
When they're equal, the data is symmetric.
In this case, based on the information, the distribution where the mean is most likely to be less than the median is the third histogram.
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Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the following information:
Day 1 4 students
Day 2 9 students
Day 3 5 students
Day 4 7 students
Day 5 6 students
What data would be on the horizontal axis?
names of the students wearing the blue shirts
the exact color of the blue shirt
school day
number of students wearing blue shirts
Answer:
school day
Step-by-step explanation:
When drawing a chart or a graph:
x-axis: Independent variabley-axis: Dependent variableThe two given variables are:
number of students who wear blue shirtsdays of the weekTherefore, in this scenario the independent variable is the school day and the dependent variable is the number of students since the former effects the latter.
So the data on the horizontal axis (x-axis) is: school day
1. One group (A) contains 180 people.
One-fourth of the people in group A will be
selected to win free tickets to a concert.
There is another group (B) in a nearby town
that will receive the same number of tickets,
but there are 292 people in that group.
What will be the ratio of non-winners in
2
group A to non-winners in group B after the
selections are made?
Answer:
135:147
Step-by-step explanation:
180/4=45
180-45=135
292-45=247
135:247
Find a₁0 given that a7 = 6 and d = 3 in the arithmetic sequence.
A. 15
B. 12
C. 18
D. 21
The tenth term of the arithmetic sequence will be 15. Then the correct option is A.
What is the arithmetic sequence?Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
[tex]\rm a_n = a_1 + (n - 1)d[/tex]
We have
a₇ = 6
d = 3
n = 7
Then the first term will be
a₇ = a₁ + (7 – 1)3
6 = a₁ + 18
a₁ = 6 – 18
a₁ = -12
Then the 10th term will be
a₁ = -12
d = 3
n =10
Then we have
a₁₀ = -12 + (10 – 1)3
a₁₀ = -12 + 27
a₁₀ = 15
Then the tenth term of the arithmetic sequence will be 15.
Then the correct option is A.
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find the product (2y - 2nb) (y+4nb)
Answer: 2y^2+6bny-8n^2b^2
Step-by-step explanation: I hope this helps!
John swims 2.5 miles and sees a total of 12 fishes if he swims 8 miles how many fish will he see
Answer:
Step-by-step explanation:
2.5 miles = 12 fishes
Therefore,
8 miles = 12*8/2.5=96/2.5= 960/25=38.4 fishes
Help me help me help me help me help me please
Answer:
x = 1, 4
Step-by-step explanation:
We assume the graph is of the relation y = f(x). The desired values of x are those that correspond to points where the y-value is -2.
Reading the graphWe are only interested in the x-coordinates of points that lie on the horizontal line where y = -2. Those points are (1, -2) and (4, -2).
The values of x such that f(x) = -2 are x=1 and x=4.
Geometry question Need help with #10
Answer:
x = 6
Step-by-step explanation:
Line segment SU is a bisector of angle <TSV which means it divided the angle into two equal parts:
The measure of <TSV = 62 in this case the measure of <VSU = 62/2 = 31
we can write the following equation to find the value of x
5x + 1 = 31 subtract 1 from both sides
5x = 30 divide both sides by 5
x = 6
can you help me im stuck here
Answer:
its dependent varaible
Answer:
Step-by-step explanation:
NOW WATSH ME WIP WAHS E NYA NAY
In the following exercises, multiply the binomials. Use any method.
258. (5x − y)(x − 4)
Answer:
Hence the expression [tex]$$(5x-y)(x-4)=5x^2-xy-20x+4y$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (5 x-y)(x-4).We have to multiply the given expression.Multiply the (5 x-y) by -4, multiply the (5 x-y) by x then add like terms.[tex]$$\begin{matrix}{} & {} & {} & {} & 5x & - & y \\ \times & {} & {} & {} & x & - & 4 \\ \end{matrix}$$[/tex]
_________________
[tex]$$\begin{matrix}{} & {} & {} & - & 20x & + & 4y \\ 5{{x}^2} & - & xy & {} & {} & {} & {} \\ \end{matrix}$$[/tex]
_________________
[tex]$$\begin{matrix}5{{x}^2} & - & xy & - & 20x & + & 4y \\ \end{matrix}$$[/tex]
Using a phone to drive people to Web-based survey instruments is known as a(n) online focus group. online theater system. hybrid survey. cybertracking tactic.
Answer:
Using a phone to drive people to web-based survey instruments is known as a hybrid survey.
What is b and c in this expression?
[tex]\sqrt[4]{15^7} }[/tex]
The value of b and c is 4 and 7.
What is algebra?Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.
Elementary algebra: elementary algebra, branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science, economics, and business.
From the given question,
[tex]\sqrt[4]{15^7}[/tex] This expression can also be written in the form of [tex]a^\frac{b}{c}[/tex]
We will convert [tex]\sqrt[4]{15^7}[/tex] to the required form:
[tex](15^\frac{7c}{4b} )\left \{ {{a=15^\frac{7c}{4b} } \atop {b=b} , c = c} \right.[/tex]
Hence,
From the above equation we get the value of b and c is 4 and 7.
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Using the following image, if E is the midpoint of FD find ED.
What is ED?
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: ED = 5 \:\: units[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \:FE + ED = FD[/tex]
[tex]\qquad \tt \rightarrow \:5 + x = 10[/tex]
[tex]\qquad \tt \rightarrow \:x = 10 - 5[/tex]
[tex]\qquad \tt \rightarrow \:x = 5[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The value of ED is 5 units, which is determined by using the concept of midpoint.
The figure given below shows a line segment FD, where the length of line segment FD refers to the distance between its endpoints, F and D.
Given that E is the midpoint of FD.
FE = 5 units
FD = 10 units
Since M is the midpoint of FD, So FE = ED
⇒ FD = FE + ED
Substitute the values of FE = 5 and FD = 10, in the above equation,
⇒10 = 5 +ED
⇒ ED = 10 - 5
⇒ ED = 5
Therefore, the value of ED is 5 units.
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if t is 25% of u, then what percent of 4t is 2u?
Step-by-step explanation:
t = .25u (given)
4 t = 4 (.25u) = u
then u = 50% of 2 u
Geometry Question with Circles: If GP=PH, GA=17, mED=37, and mAB =87c find each measure.
The geometry illustrates that the value of DB is 34°
How to calculate the angles?AB = 87°
ED = 37°
BCD will be:
= (360° - 87° - 32°)/2
= 118°
FA will be:
= 118°/2
= 59°
DC = 118/2 = 59°
HB = GA = 17°
DB = 2 × 17° = 34°
EG = GA = 17°
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Please help me its due soon! :(
Select all the correct answers.
Consider the graph of the function : f(x)=logx
Which are features of function g if g(x)= 4log(x)+4
The features of the function g(x) = 4log(x) + 4 are
(b) range (-∞, ∞)(d) x-intercept (0.1, 0)(e) Vertical asymptote, x = 0How to determine the features of g(x)?The function is given as;
g(x) = 4log(x) + 4
The intercept
A logarithmic function has no y-intercept.
Set g(x) to 0, to determine the x-intercept
4log(x) + 4 = 0
Divide through by 4
log(x) + 1 = 0
This gives
log(x) = -1
Take the inverse of both sides
x = 10^-1
Evaluate
x = 0.1
The x-intercept is (0.1, 0)
The vertical asymptote
Recall that:
A logarithmic function has no y-intercept.
This is so because it is undefined at x = 0
So, the vertical asymptote is x = 0
The domain and the range
A logarithmic function cannot take a negative input or 0 input
So, the domain is x > 0
However, the range is all set of real numbers i.e (-∞, ∞)
Hence, the features of g(x) are (b), (d) and (e)
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Write a function to represent the point (x, y) being translated of 3 units to the right and 2 units down.
Type the correct answer in the box.
(101 0°
Vo 4
T(x,y) =
√0
Question 2
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A X
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VI
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a B
X
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11
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sin cos tan sin costan
csc sec cot log
log
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10
F E
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ΕΔ Π
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The translation function is T(x,y) = (x + 3, y - 2) and the reflection function is (-x, y)
The translation functionThe point is given as:
(x, y)
The translation is given as:
3 units to the right and 2 units down.
This is represented as:
(x + 3, y - 2)
Hence, the translation function is T(x,y) = (x + 3, y - 2)
The reflection functionThe point is given as:
(x, y)
The reflection is given as:
Reflection across the y-axis
This is represented as:
(-x, y)
Hence, the reflection function is (-x, y)
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I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week.
Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable c: number of child bikes.Variable a: number of adult bikes.Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:
4c + 4a = 100.
c + a = 25.
With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:
c + a = 26
20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
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6) A basket contains 5 yellow, 3 blue and 2 white balls. If a ball is drawn randomly from the basket, find the probability of not getting a blue ball.
Answer: 70%
Step-by-step explanation:
A basket contains:
5 yellow balls
3 blue balls
2 white balls
What would be the probability of randomly picking a ball and the ball not being blue?
So, we can find the probability of picking up a blue ball. Let's do that first.
To calculate the probability of getting a blue ball, we need to divide the number of blue balls by the number of possible balls.
The number of blue balls = 3
The total number of balls = 2 + 3 + 5 = 10 balls
3 blue balls divided by 10 balls = 0.3.
If you multiply 0.3 by 100%, it will give you a probability of finding a blue ball equal to 30%
Now, we just need to find the probability of NOT finding a blue ball. Because we have 30% of finding a blue ball, we just need to subtract 30% from 100%.
100 - 30$ = 70%
The probability of not getting a blue ball is equal to 70%.
Hope I Helped!
[tex]|\Omega|=5+3+2=10\\|A|=5+2=7\\\\P(A)=\dfrac{7}{10}=70\%[/tex]
On a coordinate plane, a quadrilateral has points E (negative 2, 0), D (0, 4), G (4, 2), and F (0, 0).
Which are true if figure DEFG is reflected across the x-axis? Check all that apply.
D(0, 4) → D'(0, –4)
E(–2, 0) → E'(–2, 0)
The perpendicular distance from G' to the x-axis will equal 2 units.
The perpendicular distance from D' to the x-axis will equal 8 units.
The orientation will be preserved.
By applying the reflection rule across the x-axis to quadrilateral DEFG, we obtain the following true statements:
D(0, 4) → D'(0, -4)E(-2, 0) → E'(-2, 0)The perpendicular distance from G' to the x-axis will be equal to 2 units.The reflection of a quadrilateral.In Geometry, the x-axis would remain the same if a quadrilateral is reflected across the x-axis and the sign on the y-axis would change either from positive to negative and vice-versa.
By applying the reflection rule across the x-axis (x, y) → (x, -y), we obtain the following true statements:
D(0, 4) → D'(0, -4)E(-2, 0) → E'(-2, 0)The perpendicular distance from G' to the x-axis will be equal to 2 units.Read more on reflection here: https://brainly.com/question/10929277
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Answer:
A
B
C
Are the right answer
Step-by-step explanation:
on the first day the apple iphone 5 was released, the local store had 200 in stock. by 8:00 pm, the store had sold 3/5 of their stock. how many phone were left in the store’s stock?
Answer:
120 Phones
Step-by-step explanation:
3/5 of 200
Step 1: Divide 200 by 5
200 ÷ 5 = 40
Step 2: Multiply 40 by 3
40 · 3 = 120
Answer: 3/5 of 200 = 120
Tip: When finding a fraction of a whole, divided the whole by the denominator, then multiply the quotient you got by dividing the whole by the denominator by the numerator
Example: 1/2 of 80
80 ÷ 2 = 40
40 · 1 =40
1/2 of 80 = 40
Find the slope of the line A. -1/4 B. 4 C. -4 D. 1/4
Answer:
4!
Step-by-step explanation:
using the slope formula and the points (-1, 0) and (-2, -4) on the line:
-4 - 0 / -2 - -1 = -4 - 0 / -2 + 1 = -4 / -1, and since both the top and bottom are negative, they make a positive, giving you a positive 4
the slope formula is rise/run, or y2 - y1 / x2 - x1!
una fracción de reducción a su mínima expresión en igual a 1/8. si la suma de sus terminos es 72. hallar la diferencia entre ellos
Por lo tanto el número es p/q = 8/64.
¿Qué es una fracción?Fracción es un número que se puede representar en forma de p/q, donde q no es igual a cero.
It is given that :
En su forma más simple, el número es 1/8
Sea el número p/q
p + q = 72 (dado)
p/q = 1/8
q = 8p
p+8p = 72
9p = 72
p = 8
q = 8p
q = 8 * 8 = 64
Por lo tanto el número es p/q = 8/64.
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suppose it costs $45 to attend a concert where the band plays for 1.5 hours.
a. what was the cost to attend the concert per hour?
b. what was the cost to attend to the concert per minute
make sure to show your work
Answer
$30 minutes per hour
$0.5 per minute
Step-by-step explanation:
45/1.5=30
45/90=0.5
help me please please please!!!
What formula should be used to calculate an unknown side of a right angled triangle
when the hypotenuse (c) and one other side (b) are known?
a) Oa^2 = b^2-c^2
b) Oa^2 = c^2 + b^2
c) Oa^2 = c^2-b^2
d) Oc^2 = a^2 - b^2
e) Oc^2 = b^2- a^2
Answer:
c) Oa^2 = c^2-b^2
Step-by-step explanation:
the formula of finding hypotenuse (c) is
c^2 = a^2 + b^2
that means c^2 - b^2 = a^2
a^2 = c^2 - b^2.
Which conditional and its converse form a true biconditional?
If x = 19, then 2x – 3 = 35.
If x = 3, then x2 = 9.
If x2 = 4, then x = 2.
If x > 0, then > 0.
The conditional and its converse that form a true biconditional is; Option A; If x = 19, then 2x – 3 = 35.
How to Interpret Biconditional Statements?
A) If x = 19, then 2x – 3 = 35.
Thus, 2(19) - 3 = 35. Thus, this is a true biconditional.
B) If x = 3, then x²= 9.
This is not a true biconditional because x could also be -3.
C) If x² = 4, then x = 2
This is not a true biconditional because x could also be -2.
D) If x > 0, then |x| > 0.
This is not a true biconditional because x could also be negative which less than zero.
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Write root of fourth 81x³y4z8 with rational exponents
The fourth root of ⁴√(81x³y⁴z⁸)with rational exponents is [tex]3x^{\frac{3}{4} }yz^{2}[/tex]
How to find the fourth root of ⁴√(81x³y⁴z⁸)To find the fourth root of ⁴√(81x³y⁴z⁸) with rational exponents, we use the root rule of indices which states that [tex]\sqrt[n]{a} = a^{\frac{1}{n} }[/tex]
So, ⁴√(81x³y⁴z⁸) = ⁴√(81 × ⁴√x³ × ⁴√y⁴ × ⁴√z⁸)
We now apply the
So, ⁴√(81x³y⁴z⁸) = ⁴√81 × ⁴√x³ × ⁴√y⁴ × ⁴√z⁸
[tex]= 3 X x^{\frac{3}{4} } X y^{\frac{4}{4} } X z^{\frac{8}{4} } \\= 3 X x^{\frac{3}{4} } X y^{1} X z^{2} \\= 3x^{\frac{3}{4} }yz^{2}[/tex]
So, the fourth root of ⁴√(81x³y⁴z⁸)with rational exponents is [tex]3x^{\frac{3}{4} }yz^{2}[/tex]
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fill in the blank 2 x 3/4 = _ + 3/4
According to multiplication you can use repeated addition to get the same product of the given equation.
Ex: 5x2= 2+2+2+2+2 ( 5 groups of 2)
Both will give you same answer (10).
Hence 2 x 3/4 = 3/4 + 3/4
Answer:
2 x 3/4 = 3/4 + 3/4
Step-by-step explanation: