Answer:
g(f(x)) = 2x - 2Step-by-step explanation:
Given:
f(x) = 2x + 1and
g(x) = x - 3Find g(f(x)), substitute the value of f(x) into equation:
g(f(x)) = g(2x + 1) = (2x + 1) - 3 = 2x - 2Tom works for a company.
His normal rate of pay is £15 per hour.
When Tom works more than 7 hours per day, he is paid overtime for
each hour he works more than 7 hours.
7
Tom's rate of overtime pay per hour is 13 times his normal rate of pay per hour.
On Monday Tom worked for 11 hours.
Work out the total amount of money Tom earned on Monday.
The final line of your answer must say, Total = ...
1
+
Total marks: 4
Answer:
£885
Step-by-step explanation:
(11-7)x15x13+7x15
=
4x15x 13+105
=
780+105
=
885
{ Arithmetic}
The total amount of money that Tom earned on Monday is £885.
Based on the information given in the question, the calculation to solve the question goes thus:
= [(11 - 7) × 15] × 13 + (7 × 15)]
= (4 × 15 × 13) + 105
= 780 + 105
= £885
Therefore, the total amount of money that Tom earned on Monday is £885.
Read related link on:
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Find the missing exponent. 7? x (75)4 = 734 Place only the missing exponnt value
Х
Answer:14
Step-by-step explanation:took the test
A chemist mixes 100 milliliters of a solution that is 75% acid with 25 milliliters of a solution that is 35% acid.
Answer the questions below. Do not do any rounding.
(a) How many milliliters of acid are in the resulting mixture?
(b) What percentage of the resulting mixture is acid?
Answer:
85% acid
Step-by-step explanation:
The amount of acid is 83.75 milliliters
The percentage of the resulting mixture of acid is 67%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
A chemist mixes 100 milliliters of a solution that is 75% acid with 25 milliliters of a solution that is 35% acid.
This means,
75% of 100 milliliters = 75/100 x 100 = 75 milliliters
35% of 25 milliliters = 35/100 x 25 = 8.75 milliliters
Now,
The amount of acid is (75 + 8.75) = 83.75 milliliters
The percentage of the resulting mixture of acid.
= 83.75 / (100 + 25) x 100
= 83.75/125 x 100
= 67%
Thus,
The amount of acid is 83.75 milliliters
The percentage of the resulting mixture of acid is 67%
Learn more about percentages here:
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What is an
equation of the line that passes through the points (3, 1) and (4,4)?
Answer:
y=-5x+16
Step-by-step explanation:
One number is 13 more than another number. Their sum is 27. Find the two numbers.
Enter your answer as a list of numbers separated by a comma: a,b
Add 14 and 13+14=27...ans
do 12,16, and 20 make a right triangle
Answer:
so yes it does :)
Step-by-step explanation:
There is a fourth category of triangles in which one of interior angles is of 90∘ . It is called right triangle. 1) 12,16,20 : 202=162+122 : True, hence right triangle
This week Edward spent $30 for hot dogs and supplies. He eamed $18.
Did he make money or lose money this week? Explain.
Name the property that is illustrated.
1 x 3/4 = 3/4
Answer:
Associative Property of Addition
LAM 1 Mod 6 Question 4b-s2.
Answer:
there is one line of symmetry if you look closely at the shape
Alan has forgotten his 4-digit PIN code.He knows it begins with a 6 and the 4 digits make an even number.How many different sets of 4 digits could it be?
Answer:
500.
Step-by-step explanation:
The last digit must end with 0, 2, 4, 6, 8 for the Pin code to be even.
The middle 2 digits may be any numbers.
So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.
So as there are 5 possible last digits , the total possible sets of digits
= 5 * 100
= 500.
PLEASE HELP DUE IN 10 MINUTES NOBODY WILL HELP IM DESPERATE SO I WILL GIVE BRAINLIEST 5 STARS AND A THANKS JUST QUESTION 2 PLEASE :C IM REALLY SORRY THERE ARE NOT A LOT OF POINTS
Answer:
(6,16)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
x=6, y=16
Solution is (3,10).
Sorry if I'm late
Solve the quadratic equation 2x^2-4x+1=0
Answer:
Step-by-step explanation:
= 2 ± 2 √ 2
Which ordered pair is a solution to the system of linear equation? 2x+ 3y=6
-3x+5y=10
Answer:
x = (-2)y = 2Step-by-step explanation:
2x + 3y = 6________( 1 )
-3x + 5y = 10_______( 2 )
( 1 ) × 3 ---- 6x + 9y = 18_____( 3 )
( 2 ) × 2 ---- -6x + 10y = 20_____( 4 )
[tex](4) + (3) \\ 6x + 9y + ( - 6x + 10y) = 20 - 18 \\ 6x + 9y - 6x - 10y = 2 \\ y = 2[/tex]
y = 2 ,
[tex]2x + 3y = 6 \\ 2x + 3(2) = 2 \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ 2x = - 4 \\x = \frac{ - 4}{2} \\ x = ( - 2) \\ [/tex]
Solve for x
5x−4≥12 OR 12x+5≤−4
Please help, I'm stuck and I'm not really getting the hang of this yet.
Answer:
No solution
Step-by-step explanation:
5x−4≥12 AND 12x+5≤−4
solve it separately
5x - 4>=12
add 4 on both sides
5x >= 16
Divide both sides by 5
x > = 16/5
12x+5≤−4
subtract 5 from both sides
12x <= -9
divide both sides by 12
x<= -9/12
x<=-9/12 and x>= 16/5
There is no intersection between the inequalities
so there is no solution
Help I’ll give Brainliest
Answer:
18
Step-by-step explanation:
first solve substitute the givens, then solve (-2)² = 4
it will be √4+12 = √16 + |14|
√16=4.....and when you take out 14 from the absolute value it will remain the same soooooo
4+14=18
he ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?In order from the smallest angle to the largest angle, the angle measures are°,°, and°.
Answer:
Step-by-step explanation:
Ratio of angles = 2 : 3 :5
Angles are 2x , 3x , 5x
Sum of all angles of triangle = 180
2x +3x + 5x = 180
10x = 180
x = 180/10
x = 18
2x = 2*18 = 36
3x = 3*18 = 54
5x = 5*18 = 90
Smallest to largest
36 , 54 , 90
Answer:
36°, 54°, and 90°
Step-by-step explanation:
The sum of interior angles of a triangle = 180
Remember: The sum of the interior angles = (number of sides - 2)(180)
2:3:5 means 2x:3x: 5x
2x + 3x + 5x = 180
10x = 180
x = 18
The angles are 2(18) = 36°
3(18) = 54°
518) = 90°
347.9 to the nearest whole number
Answer:
348.
Step-by-step explanation:
what is X?
-7x+4=-32
Answer:
The answer would be 36/7 and that would be 5.14285714286
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=36/7
HELPPP PLEASE WILL MARK BRANLIEST
Answer:
The answer is 6
Step-by-step explanation:
Why is it 6? because surface means like the total faces it has.
Can someone please help-
Answer:
5[tex]\frac{17}{18} }[/tex]
Step-by-step explanation:
What is the slope of (-5,8) (-3,12)
Answer:
2
Step-by-step explanation:
12-8/-3-(-5)=4/2
m=4/2
Employees from a local store
donated picnic supplies for the end of the
school year picnic. They donated 20 packs
of 12 forks. 10 packs of 12 spoons, 5 packs of
10 knives, and 175 paper plates. How many
picnic items were donated?
Sophie has 9 cards.
There is a number on each card.
a
5
4 42
31|15|9|6
Sophie takes at random two of the cards.
She works out the product of the numbers on the two cards.
Work out the probability that the product is an even number.
a marked
Answer:4
Step-by-step explanation:
Help
help please please
Answer:
1. A
2. C
Step-by-step explanation:
I could be wrong, that's my best guess. Im so sorry if im wrong, have a good day
Sooo my math teacher who’s a pain in the behind was the only one gave us homework while we’re out for and extended 1 day so if you would please help me bc I have to go back and turn this in tomorrow, please and thank you :/ (just 8-16)
Answer:ok??/????????
Step-by-step explanation:Whaaaaat?????
HELP PLS hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllppppppppppppp
Answer:
[tex]r\le \:12.5[/tex]
Step-by-step explanation:
Answer:
r<=12.5
Step-by-step explanation:
87.5-150 = -62.5
-62.5/-5 = 12.5
you multiplied by a negative so the symbol switches
<=
what are the three proofs in geometry?
Answer:
Two-Column, Paragraph and Flowchart Proofs.
Hope this helps :)
PORFAVOR NECESITO AYUDA CON LA PREGUNTAS ANTERIORES Q HICE PORFA AYUDENME!!!!
Answer:
Where are the questions?
Step-by-step explanation:
find the second and third terms of each sequence with the information provided
1) 6_ _ 33
2) 17_ _5
Figure ABCD is transformed to A′B′C′D′, as shown:
A coordinate plane is shown. Figure ABCD has vertices A at 3 comma 1, B at 3 comma 4, C at 5 comma 5 and D at 5 comma 3. Figure A prime B prime C prime D prime has vertices A prime at negative 5 comma 1, B prime at negative 5 comma 4, C prime at negative 7 comma 5 and D prime at negative 7 comma 3.
Which of the following sequences of transformations is used to obtain figure A′B′C′D′ from ABCD? (4 points)
Group of answer choices
Reflection about the x-axis followed by a translation right by 2 units
Reflection about the y-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
thanks to whoever answers this!
Answer:
Picture please. and answer.