Answer:
a = 6 , b = -9
Step-by-step explanation:
2a + b = 3
b = -2a + 3
3a + 2(-2a + 3) = 0
3a - 4a + 6 = 0
-a = -6
a = 6
2(6) + b = 3
12 + b = 3
b = -9
[tex]f(x)=|3x-5|+7x\\g(x)=-2x+9\\what is \\ (f+g)(x)[/tex]
Given:
The functions are:
[tex]f(x)=|3x-5|+7x[/tex]
[tex]g(x)=-2x+9[/tex]
To find:
The function [tex](f+g)(x)[/tex].
Solution:
We have,
[tex]f(x)=|3x-5|+7x[/tex]
[tex]g(x)=-2x+9[/tex]
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
On substituting the values of given functions, we get
[tex](f+g)(x)=|3x-5|+7x+(-2x+9)[/tex]
[tex](f+g)(x)=|3x-5|+7x-2x+9[/tex]
[tex](f+g)(x)=|3x-5|+5x+9[/tex]
Therefore, the required function is [tex](f+g)(x)=|3x-5|+5x+9[/tex].
If a escape room party has 16 participants and 4 escape puzzles.How many staff are needed?
Answer:
4
Step-by-step explanation:
if there are 4 puzzles and only 16 participants. Also WHAT??? makes no since what to do
Rewrite the expression as a single logarithm:
log 2 + log x - (log 3 + log y)
Answer:
Step-by-step explanation:
Here, we want to write as a single logarithm
Recall;
Log a + Log b = Log ab
Log a - Log b = Log (a/b)
so starting with the bracket, we have;
Log 2 + Log X - Log 3y
Furthermore, we have;
Log 2x - Log 3y
Finally, we have;
Log (2x/3y)
PLEASE HELP NOWWW
f a1 = 7 and an = 5an-1 then find the value of a6
Answer:
a₆ = 21875
Step-by-step explanation:
Using the recursive rule and a₁ = 7 , then
a₂ = 5a₁ = 5 × 7 = 35
a₃ - 5a₂ = 5 × 35 = 175
a₄ = 5a₃ = 5 × 175 = 875
a₅ = 5a₄ = 5 × 875 = 4375
a₆ = 5a₅ = 5 × 4375 = 21875
The refinery melt 1.25 tons of trash in 2 hours. How many tons of trash would be melted in 12 hours? HELP ME PLEASE :_)
Answer:
7.5 tons I think
Step-by-step explanation:
Solve for the Circumference of the Circle L. The arc length shown below is 29ft. (Round your answer to nearest hundred)
Answer:
sorry i don't know but this video is really helpful and tells you how to do it!
Step-by-step explanation:
search: how to find circumference from arc length the first video
Which of the following could be a zero of f(x)=x4-10x3+35x2-50x+24
Answer:
this answer is
Step-by-step explanation:
Invisible
After the community clean up, the ecology club collected all the empty drink containers. There were 40 more 5 cent deposit containers than 10 cent deposit containers. If the club received $24.80 from the recycling center, how many 5 cent deposit containers did they have?
The number of 5-cent deposit containers the ecology club collected is 192.
What are the linear equations that represent the question?a - b = 40 equation 1
0.05a + 0.1b = $24.80 equation 2
Where:
a = number of 5-cent deposit containers b = number of 10- cent deposit containers.How many 5-cent deposit containers were collected?
The first step is to multiply equation 1 by 0.1
0.1a - 0.1b = 4 equation 3
Add equation 3 and equation 1
$28.80 = 0.15a
a = $28.80 / 0.15
a = 192
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
okay everybody, everybody for him or her self! What's 1+1? The two lucky people who answers this question will get brainlest!
Answer:
Uhhh Ummm HMMMM 11 HHAHAAHA Jk 2
Step-by-step explanation:
If y varies inversely as x and y = 4 when x = 12, find the constant of variation
also please let me know if the first 3 are incorrect
Which General won the Battle of Gettysburg?
Answer: The Cautious Meade
Battle of Gettysburg: Aftermath and Impact
The Union had won the Battle of Gettysburg. Though the cautious Meade would be criticized for not pursuing the enemy after Gettysburg, the battle was a crushing defeat for the Confederacy.
Hope this helped<3.
Shonda earns $10 per hour at Sneakers Plus. She is also paid a $2 commission on every pair of sneakers she sells. How much did Shonda earn if she worked 6 hours and sold 9 pairs of sneakers?
Answer:
78
Step-by-step explanation:
6*10=60
2*9=18
60+18=78
What is the range of the following graph? Please don’t put down any links.
Answer:
[-4, infinity)
Step-by-step explanation:
The range is all the y values. The minimum is -4, and the maximum is infinity because there are arrows pointing upwards.
Which of the following is a statistical question?
A.
How many pages did Barry read last night?
B.
How many siblings does James have?
C.
How many miles does an elephant walk in a day?
D.
How old is Alisha?
Answer:
b
Step-by-step explanation:
Answer:
D.how old is Alisha
Step-by-step explanation:
A statistical question is something that can be answered by collecting data. For example how old am i? is not a statistical question.
. Jada is standing 10 feet from the base of a tree and spots a nest sitting on a branch. The angle of elevation from the ground where she is standing to the nest is 55 ° . Find the height of the nest.
A triangle with side lengths 3, 4, and 5 is a right triangle
by the converse of the Pythagorean Theorem.
What are the measures of the acute angles?
Answer:
36.87° and 53.13°
Step-by-step explanation:
the legs of the right triangle are 3 and 4 and the hypotenuse is 5
tan x = 3/4
x = arctan (3/4)
= 36.87° = measure on one acute angle
90 - 36.87 = 53.13° = measure of the other acute angle
Answer:
This is what I got for this question but if I did it wrong I'm sorry
Step-by-step explanation:
Formula- c^2 < a^2 + b^2
3^2 + 4^2 5^2
9+16= 25 25
there are 400 3rd graders,4th,and 5th graders if 187 of the students are 3rd graders and 99 of the students are 4th graders,how many students are 5th graders
Answer:
144
Step-by-step explanation:
brainliest plz it would really help out
Answer: 114 5th graders
Step-by-step explanation:
400 total
187 3rd graders
99 4th graders
187 + 99 = 286
400 - 286 = 114
PLEASE HELP!! I don't know what I'm doing wrong.
Answer: 23
Step-by-step explanation:
Answer:
I believe the answer is 23. It looks like you just need to count the number of Xs between 6 and 20.
can someone please help me find the domain and range
Answer:
got u
Step-by-step explanation:
domain is all real numbers
range is -2
Answer:
Domain: (-∞,∞)
Range: [-2,∞)
Step-by-step explanation:
The domain is (-∞,∞) because any real input for x works for any output of y.
The range is [-2,∞) because no y-value can be less than -2 for any real input x, but the range does include -2 (for example if x=3).
Use the distributive property to expand the following expression. Then combine the like terms.
-3(-2b + 5a + 7n - 10a + 6n +4a)
(please help me!!)
Answer:
6b + 3a - 39n
Step-by-step explanation:
Expanding using the distributive property :
-3(-2b + 5a + 7n - 10a + 6n +4a)
Multiply all values in the bracket by - 3
6b -15a - 21n + 30a - 18n - 12a
Collect like terms
6b - 15a + 30a - 12a - 21n - 18n
6b + 3a - 39n
PLZ HELP WILL GIVE BRAINLEST
Alejandro plans to begin filling his backyard pool with water at noon. Assume noon represents t = 0 for time t in minutes. The depth of water in the pool is the product of the rate at which the water flows into the pool and time. The total depth of the water when the pool is full is 120 centimeters.
a. Alejandro begins filling his pool 15 minutes later than planned. Write the function relating the time since noon to the rate r at which water flows into the pool. Graph the function.
b. Analyze the key features of the graph in the context of the situation.
Answer:
i cant understand
Step-by-step explanation:
which statement about 307° is correct?
a. sin 307° > 0
b. cos 307° < 0
c. tan 307°<0
Answer: C. tan 307°<0
Step-by-step explanation: Quizzed
The box plot shows the number of home runs hit by 43 players during a baseball season which stament best describes the data
The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.
Hope this helps!
Here is a test for y'all what is 2x0+2x93,797x0+32
Answer:
32
Step-by-step explanation:
0+0+32
Answer:
The answer is 32
pls hurry ty for answering
Answer:
b
Step-by-step explanation:
need help solving this
Answer:
22 km
Step-by-step explanation:
Well if sides of the triangle are 20 km and 21 km then it has to be 22 km
You want to build a bicycle ramp that is 10 ft long and makes a 30 degree angle with the ground. What would be the height of the ramp?
PLZ HELP ME
Answer:
5.8 feet
Step-by-step explanation:
this problem uses a 30-60-90° triangle
the ratio of sides in a 30-60-90° triangle, respectively, are 1 : [tex]\sqrt{3}[/tex] : 2
let 'h' = height of ramp
we can use this proportion, then cross-multiply:
10/h = [tex]\sqrt{3}[/tex]/1
[tex]\sqrt{3}[/tex]h = 10
h = 10/[tex]\sqrt{3}[/tex]
after rationalizing the denominator we get:
(10[tex]\sqrt{3}[/tex] ) ÷ 3 which is approximately 5.8 feet
Using the trigonometric ratio, the height of the ramp is 5.77 feet.
Length of bicycle ramp = 10 feet
Angle with the ground = 30°
What is the sine of an angle?The tangent of an angle is the ratio of the opposite side to the adjacent of the triangle.
Suppose the height of the ramp is h.
So, [tex]tan30=\frac{h}{10}[/tex]
[tex]h=10tan30[/tex]
[tex]h=\frac{10}{\sqrt{3} }[/tex]
[tex]h=5.77[/tex] feet.
So, the height of the ramp is 5.77 feet.
Hence, using the trigonometric ratio, the height of the ramp is 5.77 feet.
To get more about the trigonometric ratios visit:
https://brainly.com/question/24349828
Find the circumference of the pizza. Round your answer to the nearest hundredth.
Answer:
40.84 inches
Step-by-step explanation:
C=πd
C=π(13)
C=13π
C=40.84
So the pizza has a circumference of about 40.84 inches.