The value of 3f(x) + 2g(x) = -5x - 2
Algebra of functions:Given f(x) = -3x, g(x) = 2x-1 are the two functions
then by the algebra of two functions(adding two functions) we can find the value of 3f(x) + 2g(x)
Now find
3f(x) = 3(-3x) = -9x -----------(i)
2g(x) = 2(2x-1)
= 2(2x)-2(1)
2g(x) = 4x-2 ----------(ii)
Now, add the above two equation (i) and (ii)
3f(x) + 2g(x) = -9x + 4x - 2
= -5x-2
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evaluate the function for f(2)
f(t) =-t - 5; find f(2)
Answer:
[tex]f(2)=-7[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(t)=-t-5[/tex]
To find f(2), substitute 2 for t. Thus:
[tex]f(2)=-2-5[/tex]
Subtract:
[tex]f(2)=-7[/tex]
And, we're done!
If uw =6x-35, find uw
Answer:
The value of uw is 67
Step-by-step explanation:
Given that,
If uw= 6x-35...(I)
Line segment consists of points u,v,w
u to v is 19
v to w is 4x-20
We need to calculate the value of x
Using given data
[tex]uw=6x-35[/tex]
[tex]uv+vw=6x-35[/tex]
Put the value of u and w
[tex]19+4x-20=6x-35[/tex]
[tex]19+35-20=6x-4x[/tex]
[tex]34=2x[/tex]
[tex]x=\dfrac{34}{2}[/tex]
[tex]x=17[/tex]
We need to calculate the value of uw
Put the value of x in equation (I)
[tex]uw=6\times17-35[/tex]
[tex]uw=67[/tex]
Hence, The value of uw is 67
how to write 2.31818 as a mixed fraction
Answer:
[tex]2\frac{15909}{5000}[/tex]
Step-by-step explanation:
To make [tex]2.31818[/tex] into a fraction, you must first move it to the numerator and make 1 the denominator.
[tex]\frac{2.31818}{1}[/tex]
And then you multiply it by [tex]10,000[/tex] or you can say [tex]10^5[/tex]
[tex]\frac{2.31818}{1}*\frac{100000}{100000}[/tex]
After you multiply you divide the numerator and denominator by 2.
[tex]\frac{231818/2}{100000/2}[/tex]
And now this equals:
[tex]2\frac{15909}{5000}[/tex]
Hope this helps!
The number before the decimals always represents the whole number of a mixed number and the number after the decimals represents the fraction part of the mixed number.
2.31818 = 2.0 + 0.31818
In 2.31818
2 represents the whole number and
0.31818 represents the fraction 31818/100000
Dividing the fraction 31818/100000 by 2 gives
15909/50000 which cannot be further reduced.
2.31818 = 2 [tex]\frac{15909}{50000}[/tex]
https://brainly.com/question/1369626
Square root of 45 to the nearest five hundredths
Answer:
√45 =6.71
Step-by-step explanation:
[tex]\sqrt{45} = 6.708203932\\\\= 6.71[/tex]
What is the empirical formula of an oxide of chromium that is 48 percent oxygen by mass?
Answer:
CrO₃.
Step-by-step explanation:
We'll begin by calculating the percentage of chromium in the oxide. This can be obtained as follow:
Oxygen (O) = 48%
Chromium (Cr) =?
Oxide of chromium contains only chromium and oxygen. Therefore, the percentage of chromium in the oxide is given by:
Cr = 100 – percentage of oxygen
Cr = 100 – 48
Cr = 52%
Finally, we shall determine the empirical formula of the oxide as follow:
Chromium (Cr) = 52%
Oxygen (O) = 48%
Divide by their molar mass
Cr = 52/52 = 1
O = 48/16 = 3
Divide by the smallest
Cr = 1/1 = 1
O = 3/1 = 3
Therefore, the empirical formula of the oxide is CrO₃.
How many solutions exist for -2|3x − 1| = 0?
Answer:
one solution
Step-by-step explanation:
-2|3x − 1| = 0?
Divide each side by -2
|3x − 1| = 0
3x-1 = ±0
Since +0 = -0 =0
3x-1 =0
There will be only one solution
There are 12 pencils and eight pens in a cup holder select all of the simplified ratios that could be written (MULTIPLE CHOICE) A: 6 to 4 B: 5 to 3 C:4:10 D: 5:2 E: 3/2 F:5/2 I WILL GIVE BRAINLIEST TO FIRST ANSWER
If two angles form a linear pair, they are
Answer:
If two angles form a linear pair, they are supplementary.
Step-by-step explanation:
A linear pair is two angles that are adjacent and the non-common sides form a straight line.
Answer:
They are supplementary
Step-by-step explanation:
A linear pair is two angles ajacent. The non - common side forms a straight line. So the angles added together are equal to 180 degrees.
z-ak=y+c solve for a
Which of the following represents “ 10 times the sum of a number and 14 is equal 9 times the number”?
Answer:
The expressión is:
10(a+14) = 9a
and the number is:
-140
Step-by-step explanation:
The expression is:
10(a+14) = 9a
then:
10*a + 10*14 = 9a
10a + 140 = 9a
10a - 9a = -140
a = -140
Check:
10(-140+14) = 9*140
10*-126 = 1260
Write an equation in slope-intercept form (y = mx + b).
Parallel to 3x + 5y = 18 passing through (-10, -4).
Answer:
y= [tex]\frac{-3}{5}x -2[/tex]
Step-by-step explanation:
find the gradient by rearranging the equation, y= [tex]\frac{-3}{5}x[/tex] +[tex]\frac{18}{5}[/tex]
from here we can see that the slope or gradient is [tex]\frac{-3}{5}x[/tex]
now using the equation y-y2 = f'(x1)(x-1) we find the equation by subbing
= y- (-4) = [tex]\frac{-3}{5}[/tex] (x - [-10])
= y + 4 = [tex]\frac{-3}{5}x -6[/tex]
= y= [tex]\frac{-3}{5}x -2[/tex]
Three roommates split the utilities each month for their apartment. If the utilities for this month add up to $162.54, how much do they each owe?
Answer:
54.18
Step-by-step explanation:
the quotient of 13÷24 is a decimal number. which digit in the quotient is overlined?
Answer:
6 would be the overlined number
Step-by-step explanation:
Answer:
6 will be the overlined number.
Step-by-step explanation:
frank liked to buy packs of baseball cards. on 3 different days, he bought 3 packs. on 3 other days, he bought 4 packs each day. After that he splits his packs with his 2 brothers. How many packs will they each have. Choose the expression that best matches this situation.
Answer:
First, frank buys 3 packs on 3 different days, so in those first 3 days he buys:
3*3 = 9 packs.
Then on other 3 days he buys 4 packs each day, so he has:
3*4 = 12 packs.
In total he haves:
9 + 12 = 21 packs.
Now he divides the packs with his 2 brothers (So we divide 21 packs between 3 people)
Then each brother gets:
N = 21/3 = 7 packs each.
Solve for z - 9 = 27
Answer:
z = 36
Step-by-step explanation:
Add nine to each side, so it now looks like this: z = 36Answer:
36
Step-by-step explanation:
Please help with geometry ASAP
Answer:
≈ 0.39
Step-by-step explanation:
Area of circle:
S = πr² = π4² ≈ 50.27 cm²Area of triangle:
S = 1/2bh = 1/2*2*3 *(4+2.5) = 19.5 cm²Probability of the point within red shaded area:
P = 19.5/50.27 ≈ 0.39The sum of any two consecutive prime numbers is also prime true or false
Answer:
True
Step-by-step explanation:
On Thursday, a local hamburger shop sold a combined total of 234 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Hey there! I'm happy to help!
Let's call the hamburgers h and the cheeseburgers c.
h+c=234
c=2h
Let's plug this value of c into the first equation to solve for h.
h+2h=234
3h=234
Divide both sides by 3.
h=78
Therefore, 78 hamburgers were sold on Thursday.
Have a wonderful day! :D
how do you decipher between the graphs of cubic and cube root parent functions
Answer:
Step-by-step explanation:
.....
How do you do this question?
Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Mr. Lowe is setting up his room for art class. He has 6 boxes of crayons with 24 crayons each, 3 packages of pencils with 20 pencils each, and 9 packages of paint brushes with 15 brushes each. What is the difference between the total number of crayons and the total number of paint brushes?
so first we need to find the total number of crayons
to do that we're going to multiply 6 by 24 cause each box has 24 crayons
24 × 6 = 144
so the answer of total number of crayons is 144 crayons
next we're going to find the total number of paint brushes
to do that we're going to multiply 9 by 15 cause each package has 15 paint brushes
9 × 15 = 135
so the answer of total number of paint brushes is 135 crayons
finally we're going to calculate the difference
so its 144 crayons subtracted by 135 paint brushes
144 - 135 = 9
so the difference of total number of crayons and total number of paint brushes is 9
hope that helped :))
The difference between the crayons and the paintbrush the total. I just see which one is greater
125 feet in 25 seconds what’s the unit rate?
Answer:
The unit rate is 5 ft/1 second
Step-by-step explanation:
Unit rates must always be a fraction with a denominator of 1
Our unit rate is 125/25
To get to a denominator of 1 divide 25 by 25
25 ÷ 25 = 1 second
What we do to one side we have to do to the other so also divide 125 by 25
125 ÷ 25 = 5 ft
Need help with the question attached ASAP. Will give 5 stars & brainliest!
if sum of any two angles 90 then they are called complementary
A +B =90 let the complement of A is B
4x+2 +B =90
B= 90-4x-2
B = 88-4x
complementary angle = B = 88-4x
♡Hope it helps♡
Write the following set using roster notation. Do not include repeats.
C is the set of colors in a U.S. flag.
Answer:
Step-by-step explanation:C
#7: Twenty-three more than 10 times a number is the same as 5 more than 1 point
the number. *
Your answer
26 more than twice the
Answer:
23+10r= 5+r
Step-by-step explanation:
let r be the number
Evaluate A² for A = -3
Answer:
9
Step-by-step explanation:
If A = - 3, than A^2 is equal to (-3)^2
If a number is squared (to power of 2), it is multiplied by itself (there are two of that number being multiplied together) so it is - 3x-3
-3 x - 3 = 9,
Because 3x3 =9 and a negative multiplied by a negative makes a positive.
Hope this helped!
Answer:
9
Step-by-step explanation:
(A)^2 is a better way to write it. That way the answer is unambiguous (-3)^2 = -3 * - 3 = 9
That is the answer.
Which division problem does the number line below best illustrate? A number line going from 0 to 13. An arrow jumps from 0 to 3, from 3 to 6, from 6 to 9, and from 9 to 12. please help ;(
Without the screenshot, it's fairly difficult to know what your teacher wants exactly. I found this similar problem
https://brainly.com/question/13583475
which might help. It sounds like you have 4 semicircles which can be thought of as a division problem 12/3 = 4. Note how I'm dividing by 3 which is the width of each section (eg: from 6 to 9 is 9-6 = 3 units)
Answer:
Which division problem does the number line below best illustrate?
A number line going from 0 to 2. Arrows go from 0 to 2, from 2 to 4, from 4 to 6, from 6 to 8, and from 8 to 10.
10 divided by 2 = 5
15 divided by 3 = 5
50 divided by 5 = 10
20 divided by 10 = 2
Step-by-step explanation:
which means its a
In June 2011, CBS News and the New York Times reported the results of a poll about problems and priorities for the U.S. In the poll, 979 U.S. adults answered the question, “What do you think is the most important problem facing this country today?” From a list of options, 53% of those polled said “economy/jobs.” This is an observational study designed to answer a question about a population. Who is the population?
Answer: All adults of United States.
Step-by-step explanation:
A population is a large community of individuals that share some same characteristic or root.Here, the study is all about the problem have been facing by the population of U.S.
Since adults of a society are likely voters.
So, population = All adults of United States., as only they can address the current situation or problems because they live there.
Need as much help as I can get before 7 minutes are over
Answer:
think the answer is E but not 100%. been a while. let me know either way
Kenya wants to buy a car. Dealer A said she could pay $2000 upfront and $150 per month after. When will she have paid $3500
Answer:
10 months
Step-by-step explanation:
3500 - 2000 = 1500
1500/150 = 10
Answer:
On the 23rd month
Step-by-step explanation: