Answer:
11
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= x² - 6x - 4 +5x + 3 ← collect like terms
= x² - x - 1
then
(f + g)(- 3) = (- 3)² - (- 3) - 1 = 9 + 3 - 1 = 11
Answer:
11
Step-by-step explanation:
F(–3)=(–3)²–6(–3)–4===> 9+18–4=23
g(–3)=5(–3)+3=‐15+3=–12
23–12=11
Solve the inequality for x and identify the graph of its solution.
|x+ 2|>2
Answer:
A. x < -4 or x > 0Step-by-step explanation:
[tex]|x+2| > 2\iff x+2 > 2\ \vee\ x+2 < -2[/tex]
subtract 2 from both sides
[tex]x > 0\ \vee\ x < -4[/tex]
How would you describe the red paths pictured below? ( The picture above)
A. Perpendicular
B. None are correct
C. Parallel
D. Intersecting
Answer:
perpendicular
Step-by-step explanation:
Math word problems please help
PLS HELP!!
Find the zeros of y=x² - 6x-4 by completing the square.
O A. x= 3± √13
OB. x = 3± √5
O C. x = -3± √13
OD. x = ±3
Answer:
A
Step-by-step explanation:
y = x² - 6x - 4
(x - 3)² - 3² - 4 = 0
(x - 3)² - 13 = 0
(x - 3)² = 13
x - 3 = ±√13
x = 3 ± √13
in a dilation, what is preserved and what is altered?
Answer:
A dilation preserves angle measures.
A dilation alters the length of line segments by the same proportion.
Step-by-step explanation:
A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.
50 POINTS AND BRAINLIEST!! PLEASE GIVE AN EXPLANATION. If ray VA-VF-VB and the measure of angle AVF = 32 and the measure of angle FVB = 2x + 9 and the measure of angle AVB = 3x - 4, then find the measure of angle AVB.
The measure of angle AVB = 131 degree .
What is a Ray ?A line with a starting point but extends upto infinity in one direction.
It is given that
Measure of angle AVF = 32
the measure of angle FVB = 2x + 9
the measure of angle AVB = 3x - 4
The angle AVB = AVF + FVB
this can be written as
3x- 4 = 2x+9 +32
x = 32+9+4
x = 45 degree
Therefore the measure of AVB = 3*45-4 = 131 degree
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16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the above information in Venn diagram. b) Find the number of students who drink only one drink.
Step-by-step explanation:
Let U=universal set
C=students who drink coke
P = students who drink pepsi
Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament. Please step by step
Answer:
20 Players
Step-by-step explanation:
Total Amount of Money: $2412.50
First the team rented us a bus for $1072.50
Subtract the bus from the total
$2412.50 - $1072.50 = $1340
Total Amount of Money after bus: $1340
From there we need to find the max number of players that can go.
The budget cost for each player is $67.
So we divide the remaining money by $67 to find the number of players that can go.
$1340/$67 = 20 Players.
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Hope this helps!
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies inversely as the square of x, and y
7
when x = 1, find y when x = 3.
3x2 (3)=
--/12
C.
7
27
y =
b.
4x² (3) 7
36
7x2 (3) 4
63
3
y=y(3)
y=
d.
Answer:
k=7,y=2.33 and y=k/x^2
Step-by-step explanation:
y=k/x^2
7=k/1
k=7
y=k/x^2
y=7/3
y=2.33
hope it helpful
this is not the answer i was looking for
Which expression is the simplest form of 2x^3 - x^2 + 3 (x^3 - 4x^2)
The simplest form of the given expression is 5x^3-5x^2.
We have given that
[tex]2x^3 - x^2 + 3 (x^3 - 4x^2)[/tex]
We have to determine the simplest form of the given expression.
What is the distributive property?
The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.
Use the distributive property we get,
[tex]2x^3 - x^2 + 3 (x^3 - 4x^2)\\=2x^3 - x^2 +3x^3-12x^2\\[/tex]
Add like terms we get,
Therefore we get,
[tex]=5x^3-5x^2[/tex]
Therefore the simplest form of the given expression is 5x^3-5x^2.
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Choose the variable expression that matches this phrase.
the sum of the number of crew members on the tour boat and the 5
passengers.
A. 5-c
B. 5c
C. 5+ c
D. 5÷c
The sum of the number of crew members (c) on the tour boat and the 5 passengers is 5 + c. Then the correct option is C.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The sum of the number of crew members (c) on the tour boat and the 5 passengers.
This can be written as in the form of the mathematical form.
⇒ 5 + c
Then the correct option is C.
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Tara has a box of 908 beads for making bracelets. She wants to put 15 beads on each bracelet she makes. What is the greatest number of bracelets Tara can make with these beads? Tara has a box of 908 beads for making bracelets . She wants to put 15 beads on each bracelet she makes . What is the greatest number of bracelets Tara can make with these beads ?
Answer:
Tara can make 60 bracelets.
Step-by-step explanation:
908 / 15 = 60.5
Use the drawing tools to form the correct answer on the graph. Graph the line that represents this equation: y=-5x+2
An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
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.
The graph for the given equation y=-5x+2 can be drawn as shown below.
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A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue-gray bar is 4, the height of the green bar is 9, and so on.
Suppose that, rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percentages, from 0 percent up to 30 percent. What will be the height of the green bar?
A.
15
B.
25
C.
9
D.
18
Answer:
D 18
Step-by-step explanation:
100% = 50 (all students)
1% = 100%/100 = 50/100 = 1/2 = 0.5
we get any percentage for any number by dividing the number by 1% (0.5) to see how often it fits in.
there are 9 votes for green.
9/ 0.5 = 18%
Lightning quickly heats the air causing it to expand, which produces the sound of thunder. Sound travels approximately 1 mile in 5 seconds. Knowing D = rt, how far away is a thunderstorm when you notice a 3- second delay between the flash of lightning and the sound of thunder? Lightning quickly heats the air causing it to expand , which produces the sound of thunder . Sound travels approximately 1 mile in 5 seconds . Knowing D = rt , how far away is a thunderstorm when you notice a 3 second delay between the flash of lightning and the sound of thunder ?
Answer:
every second it travels 1/5 of a mile after 3 seconds you are 3/5 miles away
Hope This helps!
Given log subscript 4 baseline 3 almost-equals 0.792 and log subscript 4 baseline 21 almost-equals 2.196, what is log subscript 4 baseline 7?
The value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.
We are given the logarithmic functions:
log₄3 = 0.792 ,,, (i), and log₄21 = 2.196 ... (ii),
and we are asked to find the value of the logarithmic function log₄7.
On subtracting (i) from (ii), we get:
log₄21 - log₄3 = 2.196 - 0.792.
Using the quotient law of logarithms, according to which:
logₓa - logₓb = logₓ(a/b), we can write the above equation as:
log₄(21/3) = 1.404,
or, log₄7 = 1.404.
Therefore, the value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.
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Answer:
A.
1.404
Step-by-step explanation:
Fluffy the bunny ate 1/2 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1/3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?
Answer:
1/6
Step-by-step explanation:
the total carrot is 1/1 and fluffy ate 1/2 of it . this means half has been eaten and it is left with half so now 1/2 -1/3 ( carrot left in the morning - the carrot left now ) this will be 1/6
Solve |2x - 6| < 10
{x|-2 < x < 8}
{x|2 < x < 8}
{x|-8 < x < 8}
this is hard for me could smone help me ASAP please?
Answer:
x is 90°
y is 56°
Step-by-step explanation:
Concepts used :
The angle subtended by a diameter inside the circle is always 90° .
Sum of interior angles of a triangle is 180°.
Here x is the angle subtended by the diameter of the circle therefore ,
x is 90°.
let the end points of diameter as A , B
and the point where the it subtends the 90° angle be C
using interior angle property on the triangle ΔABC
90° + 62° + ∠A = 180°
152° + ∠A = 180°
∠A = 180° - 152°
∠A = 28°
now let he midpoint of diameter as D
as the sides DC and DA are radius of circle and therefore equal
so using isosceles triangle property which states that angle opposite to equal sides are equal
so the angle ∠ACD = 28°
now using exterior angle property on ΔADC
y = 56°
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what is the answer for this please 23÷23
Answer:
1
Step-by-step explanation:
Any number divided by itself equals 1. So, 23 divided by 23 is 1.
!!!!PLEASE HELP FAST !!!!
Solve each discrete exponential growth/decay problem. A country pledges to
reduce its CO2 emissions by 3.9% per year. If the emissions in 2022 are 5,160 Mt
(metric megatons), what are the maximum allowable emissions in the year 2030?
A) 5160 0.844≈ 1,329 Mt
B) 5160-0.961 = 3,754 Mt
C) 10320-0.961 = 7,507 Mt
D) 5160-0.99=4,761 Mt
Answer:
C) 10320-0.961 = 7,507 Mt
that is my answer please have a great day
In question 1, you found the cubes of both positive and negative numbers. Does x3 = 8 have two solutions as x2 = 4 does? Why or why not?
What is necessary to determine the z-score for a raw score in a particular set of scores?.
Answer:
See below
Step-by-step explanation:
The mean score and the standard deviation are needed
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
The graph of f(x) passes the vertical line test.
f(x) is a one-to-one function.
The graph of the inverse of f(x) passes the horizontal line test.
f(x) is not a function.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
–3
2
5
Answer:
1st q answer is f(x) is one- to -one function and 2nd q answer is 2
Answer:
1) f(x) is one - to - one function2) 2Step-by-step explanation:
inverse of f(x)Let f(x) = y
y = 2x - 3
x = y + 3 / 2
inverse of f(x) = x + 3 / 2
g(x) = inverse of f(x)f [g(2)]
f [2+3/2]
f [5/2]
(2×5/2)-3
5-3
= 2
Therefore f [g(2)] = 23 photos are printed in 1 minute. How many minuted would it take to print 600 photos
Answer:200 minutes
Step-by-step explanation:
1 minute = 60 seconds.
6/3 = 2 (20 seconds) 1 photo every 20 seconds.
600x20 = 12000. seconds.
12000/60 = 200 (200 minutes)
Answer:
200 photos
Step-by-step explanation:
1 min = 3 photos
X min = 600 photos
therefore3 X = 600
X = 600/3
X = 200
p=f/a, where f=70 and a=20
f is increased by 10
a is increased to by 10
[tex]\huge\underline{ Answer -}[/tex]
Given ,
[tex]\boxed{p = \frac{f}{a} } \\ [/tex]
where ,
the initial values of a and f are -
a = 70
a = 20
To find - value of p if the values of a and f are increased by 10[tex]\therefore \: f = 80 \\ a = 30[/tex]
Then ,
[tex]p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67[/tex]
hope helpful ~
What is the branch of mathematics developed by isaac newton called today?.
Answer: Calculus.
Step-by-step explanation: He created calculus.
Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively
The volume of the rectangular prism is 36/125 cm³.
What is the volume?A rectangular prism is a three-dimensional shape. It also known as a cuboid.
Volume = length x width x height
3/5 x 4/5 x 3/5 = 36/125 cm³
Here is the complete question :
Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively. Find its volume?
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The coordinates of the vertices of △HIJ are H(−2,2), I(8,−2), and J(−4,−3). Identify the perimeter of △HIJ to the nearest tenth
Answer:
28.2
Step-by-step explanation:
The perimeter of a plane figure is the sum of the lengths of its sides. Those lengths and their sum can be found a number of different ways.
__
graphing aidThe values computed by the graphing program in the attachment add up to 28.2 units.
__
using algebraThe length of each side of the triangle can be computed using the distance formula or the Pythagorean theorem. For a given "rise" and "run", the length of a line segment is ...
d = √(rise^2 +run^2)
HI = √((-4)^2 +10^2) = √116 ≈ 10.770
IJ = √(1^2 +12^2) = √145 ≈ 12.042
JH = √(5^2 +2^2) = √29 ≈ 5.385
The perimeter is the total of the lengths of the sides:
P = HI +IJ +JH = 10.770 +12.042 +5.385 = 28.197
To the nearest tenth, the perimeter is 28.2 units.
