Answer:
B
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 2x + 1 + x² - 7 ← collect like terms
= x² + 2x - 6 ← in standard form
The value of (f + g)(x) is x² + 2x - 6.
What are arithmetical operations?Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities. They include the study of numbers including order of operations which are useful in all the other parts of mathematics such as algebra, data handling, and geometry.
Given are two functions, f(x) = 2x+1 and g(x) = x²-7, we are asked to find
(f + g)(x),
So we know,
(f + g)(x) = f(x) + g(x)
Therefore,
(f + g)(x)
= f(x) + g(x)
= 2x + 1 + x² - 7
= x² + 2x - 6
Hence the value of (f + g)(x) is x² + 2x - 6.
Learn more about arithmetical operations click;
https://brainly.com/question/30553381
#SPJ7
An equation of the form 7/8 = x/9 is called a/an_________
Answer:
Proportion.
Step-by-step explanation:
Sorry for the late answer! I hope this helps! :)
susan ate 3/8 of a pan of brownies. Which decimal represents the amount of brownies left?
A 0.375
B 0.625
C 0.325
D 0.675
Answer:
B 0.625
Step-by-step explanation:
8/8-3/8=5/8
5/8=0.625
Answer:
B
Step-by-step explanation:
First you have to find how much 1/8 is as a decimal, which is 0.125. Multiply 0.125 by 3 to get 3/8 or add it 3 times which gives you 0.375. That knocks out 2 answers already A and C because it's asking how many brownies are left. You can either subtract 0.375 from 1 or you can do an easier way. .075 + 0.25 = 0.1, so it can't be D because it would be over 1 pan of brownies which leaves you with B. B is your answer.
300% of 7 is what percent of 42?
A. 30%
B. 50%
C. 60%
D. 12.5%
Answer:
B. 50%
Step-by-step explanation:
Step by step by me I guess
The solution is , B) 50% of 42 is 300% of 7.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here. we have,
given that,
300% of 7
we have to that is what percent of 42.
now, we know,,
300% of 7 = 300 * 7 /100
[300% is the same as 3. So to find 300% of 7 , 3 times 7 and get 21.]
i.e. 300% of 7 = 3* 7
= 21
Now we need to find _% times 42 = 21.
let, it = x
now,
Divide 21/42 to get 0.5.
This is the same thing as 50%.
so, we get,
50% of 42 = 21
i.e. 300% of 7 = 50% of 42
Hence, The solution is , B) 50% of 42 is 300% of 7.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ7
A triangle has a perimeter of 77 cm. One side of the triangle is double the base. The other side is quadruple the base. What are the 3 side lengths? Show your work
The three sides of the triangles are 11 cm, 22cm, and 44cm.
What is the perimeter of a triangle?The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.
A triangle has a perimeter of 77 cm.
Let the side of the triangle be x, y, and the base z.
One side of the triangle is double the base.
x = 2z
The other side is quadruple the base.
y = 4z
The perimeter
X + y + z = 77
or
2z + 4z + z = 77
7z = 77
z = 11
So, the length of base z is 11 cm.
The other sides as
x = 22
y = 44
Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.
Learn more about triangle here;
https://brainly.com/question/15107373
#SPJ1
If $6000 was expected in sales and only $5100 was attained, what reduced fraction represents sales attained?
The reduced fraction that represents the sales attained is 17/20
How to determine the fraction?The given parameters are:
Expected = $6000
Attained = $5100
The fraction is represented as:
Fraction = Attained/Expected
So, we have:
Fraction = 5100/6000
Divide by 300
Fraction = 17/20
Hence, the reduced fraction is 17/20
Read more about fractions at:
https://brainly.com/question/1622425
#SPJ1
Identify whether the change represent growth or decay and determine the percentage rate increase or decrease in y= 16(1.059)^z
Answer: Growth rate of 5.9%
Step-by-step explanation:
Since 1.059>1, it represents growth.
[tex]1+r=1.059 \\ \\ r=0.059=\boxed{5.9\%}[/tex]
What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.
Answer:
(a is size of side of triangle)
the perimeter of equilateral triangle =3a
or, 36=3a
Thus, a = 13cm
area of equilateral triangle
=√3/4*(a^2 )
=√3/4*(13^2)
=73cm^2
Some of the following integers are prime. Compute the sum of the prime integers in the list. (a) 197 (b) 497 (c) 1111 (d) 2111 (e) 2643 (f) 3599
The sum of the prime integers in the list is 10158.
What are Prime Numbers ?The numbers that are divisible by 1 or itself is called a Prime Number.
The sum of two prime numbers is not a prime number
The given prime numbers are
197 , 497, 1111 ,2111 , 2643 , 3599
=197+ 497+1111+2111+2643+3599
= 10158
The sum of the prime integers in the list is 10158.
To know more about Prime Number
https://brainly.com/question/9315685
#SPJ1
The people in Mr. Kendrick's office drive 10, 3, 17, 1, 8, 6, 12, and 15 miles to work. Find the mean, median and range of the data. Mean = miles Median = miles Range = miles
Answer:
mean=9
median=9
range=16
Based on the given information we have;
Mean = 9 miles
Median = 9 miles
Range = 6 miles
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
We are given that people in Mr. Kendrick's office drive 10, 3, 17, 1, 8, 6, 12, and 15 miles to work.
Mean= 10 + 3 + 17+ 1 + 8 + 6+ 12 + 15 / 8
Mean= 9
The median=9
The range = maximum - minimum
= 6
Learn more about mean and median;
https://brainly.com/question/17060266
#SPJ2
The length of a rectangular dassroom floor is
19 feet less than twice its width. write an
expression to represent the area of the floor
in simplest form.
Answer:
W(2W-19)
Step-by-step explanation:
let length = L
length= L feet
let Width= W
from the question,
twice the width = 2W
then L = 2W-19
the area of the rectangle
Area= length × width
Area= 2W-19×W
Area= 2W^2-19W
Area= W(2W-19)
Select the correct answer.
The Cohen family started their wheat farm in 1995. The equation models the number of bushels of wheat they produced each year, where tis
the number of years since 1995.
C(t)= 7,000+500 In(t + 1)
The Mason family also started their wheat farm in 1995. The graph models the number of bushels of wheat they produced each year, where t
is the number of years since 1995.
M(t)
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct statement is D.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
If we draw the graph of the Cohen family, then the graph will look as shown below. Therefore, if we observe the graph of the Cohen family and the graph of the Mason family. Then we will observe that the wheat production of both farms will approach a stable amount as the years pass.
Hence, the correct statement is D.
Learn more about Graph:
https://brainly.com/question/21608293
#SPJ1
Porter's coat has a diameter of 8 millimeters. What is the button's area
A cheetah sprints at a speed of 112 km/h. Calculate the time taken in seconds it takes to sprint 1.4 km.
Answer:
0.75
Step-by-step explanation:
Time = D/S
D = 1.4 km
S = 112km/h
Time = 14/1120
=1/80
1/80 × 60 ( 1 hour =60 s)
=0.75 second
which set of measurements could be the side lengths of a triangle
13cm 7cm 4cm
7cm 10cm 8cm
9cm 4cm 4cm
2cm 8cm 12cm
Answer:
Hi,
Step-by-step explanation:
(13,7,4) may not be a triangle since 13 is not little than 7+4=11
(7,10,8,) may be a triangle (7 < 10+8 , 10 < 7+8, 8 < 10+7)
(9,4,4) no since 9 is not < 4+4
(2,8,12) no since 12 is not < 2+8
The only answer is (7,10,8)
1
Type the correct answer in each box. Use numerals instead of words.
The zeros of the function () = -(+1)(-3)(+2) are -1.3, and
Blank).
Reset
Next
and the y-intercept of the function is located at (0,blank
The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2, and the y-intercept of the function is located at (0,6)
The complete questionThe zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)
How to determine the zeros?The function is given as:
f(x) = -(x + 1)(x - 3)(x + 2)
Set the function to 0
-(x + 1)(x - 3)(x + 2) = 0
Divide both sides by - 1
(x + 1)(x - 3)(x + 2) = 0
Split
x + 1 = 0, x - 3 = 0 and x + 2 = 0
Solve for x
x = -1, x = 3 and x = -2
Hence, the zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2
How to determine the y-intercept?The function is given as:
f(x) = -(x + 1)(x - 3)(x + 2)
Set x to 0
f(0) = -(0 + 1)(0 - 3)(0 + 2)
Evaluate
f(0) = 6
Hence, the y-intercept of the function is located at (0,6)
Read more about functions at:
https://brainly.com/question/20691826
#SPJ1
Kayden es piloto de acrobacias. Una vez
que debía escapar de un edificio a punto de
explotar, manejó a velocidad constante para
llegar a la zona de seguridad, que estaba a
160 metros de distancia. Después de 3
segundos de manejar, estaba a 85 metros
de la zona de seguridad.
Sea y la distancia (en metros) a la zona de
seguridad después de a segundos.
Completa la ecuación para la relación
entre la distancia y el número de
segundos.
=
Y
La ecuación para la relación entre la distancia y el número de segundos: y =-25x+160.
Ecuación para la relación entre la distanciax=0, y=160m
x=3, y=85m
Dónde:
x=Tiempo
y=velocidad
El primer paso es encontrar el tiempo
Tiempo = (85-160m)/ 3s
Tiempo=-75m/3s
Tiempo=-25 m/s
El segundo paso es crear la ecuación
y =-25x+160
Por lo tanto la ecuación de la relación entre la distancia y el número de segundos: y =-25x+160.
Obtenga más información sobre la ecuación aquí: https://brainly.com/question/2972832
#SPJ1
Solve each equation for the given variable 2/3(x-6)=6
Answer:
2/3(x-6)=6
x-6=6(3/2)
x-6=9
x=9+6=15
The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented by this graph? Check all that apply.
f(x) = |x| + 2
f(x) = –|x| + 2
f(x) = |x| – 2
f(x) = |–x + 2|
f(x) = |–x| + 2
f(x) = –|x| – 2
f(x) = |x + 2|
The absolute value functions that contains the points are:
f(x) = |x| + 2f(x) = |-x| + 2Which could be the function represented by this graph?Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.
To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.
For example, for the first equation:
f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)f(0) = |0| + 2 = 2 so it has the point (0, 2)f(3) = |3| + 2 = 5 so it has the point (3, 5).The other option that also contains these 3 points is:
f(x) = |-x| + 2
f(-3) = |3| + 2 = 5 so it has the point (-3, 5)f(0) = |-0| + 2 = 2 so it has the point (0, 2)f(3) = |-3| + 2 = 5 so it has the point (3, 5).And all the other options can be trivially discarded (by evaluating them).
So the two correct options are:
f(x) = |x| + 2f(x) = |-x| + 2If you want to learn more about absolute value functions:
https://brainly.com/question/3381225
#SPJ1
an outfielder throws a ball to home plate. the balls path is modeled by the graph of y=x/5-x^2/1000 where x represents the horizontal distance of the ball from the outfield and y represents the balls vertical distance above the ground. what are the coordinates of vertex of the ball's path?
The coordinates of the vertex for the quadratic function are given as follows: (100,10).
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]In this problem, the function is given as follows:
y = -x²/1000 + x/5
y = -0.001x² + 0.2x.
Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:
[tex]x_v = -\frac{0.2}{2(-0.001)} = 100[/tex][tex]y_v = -\frac{(0.2)^2}{4(-0.001)} = 10[/tex]More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
#SPJ1
Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have?
Answer:
One solutionStep-by-step explanation:
Given function:y = x² + 10x + 25This is a quadratic function.
A quadratic equation has:Two solutions if discriminant is positive;One solution if discriminant is zero;No solution if discriminant is negativeFind the discriminant of the given function:D = b² - 4ac = 10² - 4*1*25 = 100 - 100 = 0This function has one solution since its discriminant is zero.
Answer:
one real solution
Step-by-step explanation:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]
Given function:
[tex]y=x^2+10x+25[/tex]
Therefore:
[tex]a = 1[/tex][tex]b = 10[/tex][tex]c = 25[/tex]Substitute the given values into the discriminant:
[tex]\implies 10^2-4(1)(25)=0[/tex]
As the discriminant equals zero, there is one real solution.
Leon drives a long distance to attend a family reunion. At 12:00 PM, his gas tank is completely filled with 12 gallons of gas. Leon’s car uses gas at a constant rate, and after two hours of driving, Leon notices that his car used five gallons of gas. Leon will stop to get gas when his tank is one fourth of the way full. If Leon’s car continues to use gas at the same constant rate and Leon makes no other stops on his trip, at what time will Leon stop to get gas? Be sure to include AM or PM in your answer.
Based on the rate that Leon's car uses gas, the time that Leon will stop to get gas is 3:36 pm.
When will Leon stop to get gas?Leon will stop to get gas when the tank is 1/4 full which is:
= 1/4 x 12
= 3 gallons
The rate at which the car uses gas is:
= Gallons used / Time traveled
= 5 / 2
= 2.5 gallons per hour
The number of hours till he has to stop is:
= (12 gallons - 3 gallons) / 2.5
= 3.6 hours
The time that Leon will stop is:
= 12pm + 3.6 hours
= 12 pm + 3 hours 36 minutes
= 1536 hours
= 3:36 pm
Find out more on calculations involving consumption per hour at https://brainly.com/question/25049845.
#SPJ1
The circle is centered on point p. points j, k and l lie on the circumference. zjlk
measures 47. find the measure of zjpk.
Using the giving information, the measure of ∠JPK is 94°
Circle GeometryFrom the question, we are to determine the measure of ∠JPK
From one of the circle theorems,
Angle at the center is twice the angle at the circumference
That is,
∠JPK = 2 × ∠JLK
From the given information,
∠JLK = 47°
∴ ∠JPK = 2 × 47°
∠JPK = 94°
Hence, the measure of ∠JPK is 94°
Learn more on Circle Geometry here: https://brainly.com/question/17074363
#SPJ1
Help with this inequality pleaze
Answer:
108 cm^2
Step-by-step explanation:
Trapezoid area = (a+b)/2 * h
= (6+12)/2 * 6 = 54 cm^2
Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2
Total area is 54+54 = 108 cm^2
Which choice belongs in space 5!!!
Savannah made ice cubes for a party. Each ice cube measured 20 mm by 20 mm by 20 mm. How much water was needed to make each cube?
2,000 millimeters cubed
2,400 millimeters cubed
6,000 millimeters cubed
8,000 millimeters cubed
The quantity of water was needed to make each cube given the dimensions of the cubes is 8,000 millimeters cubed
Volume of each ice cube?Length = 20 mmWidth = 20 mmHeight = 20 mmVolume of water to make each cube = 20 × 20 × 20
= 8,000 millimeters cubed
Learn more about volume of a cube:
https://brainly.com/question/1972490
#SPJ1
how do i solve this pleasee
This data should be displayed as a Histogram as there are specified into different ranges.
Bar graphs should be chosen only when they are divided into various categories.
Plot the data's in Histogram format like this (range to range):
HELP PLEASE ILL GIVE BRANLIEST
Answer:
200
Step-by-step explanation:
i'm not sure about it, try it i guess
which ordered pair could represent a y-intercept on a graph
Answer: (0,6)
Step-by-step explanation:
n = ut - ½gt2 Find h when u = 100
t=1% & g=6.4
Step-by-step explanation:
h = ut - ½gt²
h = 100 (0.01) – 1/2 × 6.4 × (1/100)²
h = 1 – 1/2 × 6.4 × 0.0001
h = 1 – 0.00032
h = 0.99968 ≈ 0.9
√34=
need some solution please
Answer:
34 1/2
Step-by-step explanation: