Answer:
A
Step-by-step explanation:
We have the two functions:
\(f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4\)
And we want to find (f+g)(x).
Note that this is the same thing to f(x)+g(x). Therefore:
\(\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}\)
We simply substituted them for their equations.
Simplify. Combine like terms:
\(=(3x^2)+(-4x+2x)+(3-4)\)
Add:
\(=3x^2-2x-1\)
Hence, our answer is A.
A map uses a scale of 1 centimeter = 200 meters.
If it is 5 kilometers between two locations, how many centimeters on the map is it?
Answer:
40 centimeters
Step-by-step explanation:
Bill wanted to know how many times students at his middle school go to the beach each week during the summer. He surveyed every other middle school student at the mall last Saturday. After analyzing the data collected, Bill determined that the average student from his middle school goes to the beach about 2.4 times a week during the summer. What error did he make in the survey?
The survey was intended for Bill's middle school during the summer. The
survey was administered to students of other schools on a Saturday.
The type of error is the selection bias error.Reasons:
The type of error made is a non sampling error, given that the target of the
study is the number of times in a week students at his middle school
attend the beach during the summer.
The errors are; Selection bias error.
The given that the students survey are not from his middle school.The survey was carried out once on a Saturday, where the target was during the summer.The selection bias error is a type error that is due to the researcher
chooses what to study, such that the participant have common
characteristics rather than being random.
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The sum of two numbers is 12. The difference of the two numbers is 6. What are the two numbers?
Answer:
3 and 9
Step-by-step explanation:
x+y=12
y-x=6
y-x=6
+x. +x
y=6+x
x+(6+x)=12
6+2x=12
-6. -6
2x=6
/2. /2
x=3
3+y=12
-3. -3
y=9
Hopes this helps please mark brainliest
\(f(x)=x^{2} -3x-10\)
Answer:
Given
f(x) = 3x + 2
g(x) = (x + 3) / (2x - 10)
#1
g · f(x) =
g(f(x)) =
(3x + 2 + 3)/ (2(3x + 2) - 10) =
(3x + 5) / (6x - 6)
#2
f · g(x) =
f(g(x)) =
3[(3x + 2) / (2x - 10)] + 2 =
(9x + 6) / (2x - 10) + 2 =
(9x + 6 + 4x - 20)/ (2x - 10) =
(13x - 14) / (2x - 10)
Step-by-step explanation:
What is the product of 4.5 ⋅ 10^5 and 1.6 ⋅ 10^2?
Answer: 450000, 160
Step-by-step explanation:
4.5 ⋅ 10^5 =
4.5*100000=
4*100000+0.5*100000=
400000+50000=450000
1.6 ⋅ 10^2=
1.6*100=
1*100+0.6*100=
100+60=160
Consider the phrase "the sum of a number and 8." What mathematical expression represents this phrase?
Answer:
x + 8
Step-by-step explanation:
Let the missing number be x
According to question,
x + 8
0.403 divided by 100 what is the quotient
Answer: 0.403 / 100 = 0.00403
Hope this helps ♥️
Simplify.
7√10+2√10-√10
7√10+2√10-√10
Every square root has the same radicand, which is 10. So, simply combine terms.
7 + 2 - 1 = 9 - 1 = 8
Answer: 8√10
Derrick has $10 in his piggy bank, and saves $3 more per day. Christine has to pay back her parents $8, but she will start saving $4 per day. day they will both have $ Fill in the blanks below with correct day and Monetary Amount: If they both start saving money on the same day, then what day will they have the sam amount of money?
Answer: 18 days
Step-by-step explanation:
10 + 3x = 4x - 8
you see this? pretty cool setup here
ok
so now lets combine like terms. do the opposite on both sides. whats the opposite of 4x? -4x so lets subtract 4x from both sides
10-x=-8
ok now add 8 to both sides
18 - x = 0
x = 18
18 days
OH YEAH!!!! YOU GOT THIS!!!! MASTER OF MATH!!!! OH YEAH!!!! CURIOSITY!!!!!!!!!!!
Consider the expressions 5 + 8k and 8k + 5. Determine why the expressions are equivalent.
Using k = 3 5 + 8k 8k + 5 5 + 8(3) 8(3) + 5 5 + 24 = 29 24 + 5 = 29
Using k = 5 5 + 8k 8k + 5 5 + 8(5) 8(5) + 5 5 + 40 = 45 40 + 5 = 45
Complete the statements.
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are.
The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are.
Answer:
First is equivalent then 29 last equivalent
Step-by-step explanation:
If both expressions have the same value, then they are equal to each other.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
Consider the expressions 5 + 8k and 8k + 5.
Using k = 3
5 + 8k = 8k + 5
5 + 8(3) = 8(3) + 5
5 + 24 = 24 + 5
29 = 29
Using k = 5
5 + 8k = 8k + 5
5 + 8(5) = 8(5) + 5
5 + 40 = 40 + 5
45 = 45
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are equal to each other.
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Liam is currently twice as old as Sally. 4 years ago, Liam was three times as old as Sally. How old is Liam now?
Answer:
16
Step-by-step explanation:
L = 2 * S
L-4 = (S-4) * 3
L-4 = 3S - 12
L = 3S - 8
2S = 3S - 8
-S = -8
S = 8
L = 16
Answer:
16
Step-by-step explanation:
Planes T and X are parallel. Plane T contains line a. Plane X contains line b.
Planes T and X are parallel. Plane T contains line a and plane X contains line b.
Which best explains the relationship between lines a and b?
The volume of a rectangular prism is 5,890.625 cm3. If the height is 14.5 cm and the length is 25 cm, what is the value of the width?
Answer:
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.
Substituting these values into the formula, we get:
5,890.625 = 25w(14.5)
5,890.625 = 362.5w
w = 16.25
Therefore, the width of the rectangular prism is 16.25 cm.
Answer:
It's A
Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25
Henry's savings account has an APR of 3.65%, calculates interest daily, and
pays interest at the end of the month. If during the month of November, his
balance was $300 for the first 10 days of the month, $1200 for the next 10
days of the month, and $800 for the last 10 days of the month, how much
total interest did Henry earn in November?
A point is plotted on a coordinate grid at (-3, 4). How far is the point from point (0, 0)?
The point at (-3, 4) is at a distance of 5 units from the point (0, 0).
How far is the point from (0, 0)?For two points (x₁, y₁) and (x₂, y₂), the distance between them is given by the formula:
distance = √( (x₁ - x₂)² + (y₁ - y₂)²)
In this case, we want to get the distance between (-3, 4) and (0, 0), using the above formula we will see that the distance is:
distance = √( (-3 - 0)² + (4 - 0)²) = √25 = 5
The distance is 5 units.
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Find the equation of the parabola with the following properties. Express your answer in standard form.
Symmetric with respect to the line y = 2
Directrix is the line x = 11
P = -3
The equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1
What is the equation of the parabola?To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.
Alternatively, we can use PF = PM to find the equation of the parabola.
vertex is half way between the focus and directrix
It's a downward opening parabola, general form
y= a(x-h)^2 + k
where (h,k) = vertex= (-3,-1)
plug in another point on the parabola to solve for a which gives
am answer with either x coefficient = -1'/4 or =4 Check the math.
one or the other is right another point is the y intercept = 9a-1
Another point is directly to the right of the focus (-1, -2) It's 2 down from the directrix and 2 to the right of the focus, equidistant. plug that point into y= a(x+3)^2 -1 and solve for "a"
-2 = a((-1+3)^2 -1
-2 = 4a -1
4a = -
a = -1/4
The parabola is y = (-1/4)(x+3)^2 -1
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8.2: Word Problems - UNDERLINE key words, set up your division sentence, then solve!
Ms. K's cooking club needs 2 1/4 cups of flour to make enough crepes for everyone in the class. The
club split into 6 smaller groups, each making their own batch. How much flour does each group
need?
Answer:
3/8
Step-by-step explanation:
hope it helps :)
(x^2+4)^2−11(x^2+4)+24=0
find one solution for this equation
Answer:
Step-by-step explanation:
(x²+4)²-11(x²+4)+24=0
put x²+4=y
y²-11y+24=0
y²-3y-8y+24=0
y(y-3)-8(y-3)=0
(y-3)(y-8)=0
y=3,8
so x²+4=3
x²=-1=i²
x=±i
or x²+4=8
x²=4
x=±2
A man walks for 2 hours at a certain speed. He then cycles at three times that seed for
4 hours. He goes 77km altogether. Find the speed at which he walks.
5.5km/hr is the speed at which he walks.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given
w = walking speed
t = time walking = 2
Given, A man walks for 2 hours at a certain speed which is 2w
He then cycles at three times that seed for 4 hours.
We can form a equation by given data
2w + 3×w×4 = 77
2w+12w=77
14w = 77
Divide both sides by 14
w = 5.5 km/hr
Hence, 5.5km/hr is the speed at which he walks.
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(5x3 - 8x? – X – 4) = (x-2)
Answer: x= 1.4 Hope this helps with your assignment.
Is this correct or not?
If not please provide correct answer
Answer:
It is correct please I do not want yo sound rude can you give me brainliest answer.
Answer:
correct steps
Step-by-step explanation:
if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.
9. A water glass can hold 2/9 of a litre of water. How many glasses of water can be filled with a 3 litre bottle?
Solve the problem
Answer:
13 1/2 glasses of water.Step-by-step explanation:
From the question, a water glass can hold 2/9 of a litre of water, to know the number of glasses of water that can be filled with a 3-litres bottle, the following steps are crucial;
1 water of glass = 2/9 litre of water
x = 3 litre of water
cross multiplying;
2/9 * x = 3*1
2x/9 = 3
2x = 27
Dividing both sides by 2;
2x/2 = 27/2
x = 13 1/2
This means 13 1/2 glasses of water can be filled with a 3-litre bottle.
Write two pairs of parallel and perpendicular lines in the figure below.
Given
The diagram is given as
Explanation
From the figure,
The two pairs of parallel lines is
\(\begin{gathered} AB\parallel DV \\ RM\parallel SN \end{gathered}\)The two pairs of perpendicular lines is
\(\begin{gathered} AB\perp SN \\ DV\perp SN \\ AB\perp RM \\ DV\perp RM \end{gathered}\)the mean mass of 5 men is 76kg. the masses of 4 of the men are 72kg, 74kg, 75kg, and 81kg, what is the mass of the 5th? And
Answer:
78kg
Step-by-step explanation:
Let total mass be M.
mean=M÷5=76
M=380kg
mass of 4men is 72+74+75+81=302kg
mass of 5th man=380-302=78kg
What is the remainder when x4–5x3+ 3x2–2x + 7 is divided by x –1?
A) 4
B) 7
C) 10
D) 18
Answer:
-107
Step-by-step explanation:
x4-5^3+ 3^2-2x + 7
2x−109/x−1
1 2 −109
2
second step
1 2 -109
1 * 2 = 2
2 (-109) + 2 = -107
Coefficients are 2, and -107
Therefore the quotient is 2 and the remainder is -107
PLEASE HELP!! THIS IS DUE TODAY!
Estimate the quotient.
3,411 divided by 53
The estimate is: ___
The quotient of the given expression is 68.
What is the quotient?
A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
For the given problem,
To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.
Given, 3411 divided by 53
So, the rounding value becomes 3400 divided by 50,
then, 3400/50 = 68
Hence, the quotient is 68.
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please help me I cannot do this !
Answer:
40 cm²Step-by-step explanation:
the figure is made up of 1 square and 4 congruent triangles
area of the square (side x side)
4 * 4 = 16 cm²
area triangle (b x h) :2
(4 * 3) : 2 =
12 : 2 = 6 cm²
now we add the area of the square with the area of the 4 congruent triangles
16 + 6 + 6 + 6 + 6 =
40 cm²
The area is 40 cm2.Have a nice day bye.
The spinner below shows 5 equally sized slices. Mal spun the dial 1000 times and got the following results.
Outcome White Grey Black
Number of Spins 389 406 205
Fill in the table below. Round your answers to the nearest thousandth.
The experimental probability that the next spin falls in a black region is given as follows:
0.205 = 20.5%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:
p = 205/1000
p = 0.205.
p = 20.5%.
Missing InformationThe problem asks for the experimental probability that the next spin falls in a black region.
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please help, will give brainiest
Simplify remove all perfect squares from inside the square root assume b is positive
Answer:
Step-by-step explanation:
You take items out of a square root if you have a pair of numbers or if you know the square root.
\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)
So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3
Now for the b's for every pair there are, you can take that out. There are 3 pairs of b's so b³ is outside and one b is left inside.
Answer:
4b³\(\sqrt{3b}\)