Work Shown:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = (3x-1) - (x+2)
(f - g)(x) = 3x-1 - x-2
(f - g)(x) = (3x-x) + (-1-2)
(f - g)(x) = 2x-3
How can 6.38 x 0.08 = 6.9768? (Show your steps please!)
Answer:
6.38 × 0.08 = 5,104 not 6,9768 .
step by step attached
work out the percentage change when a price of £70 is decreased to £49
Answer:
30% decrease in price
Step-by-step explanation:
Since 70-49=21, we know that the price decreased by 30 pounds. The formula to find a percentage decrease is that you should then divide the original number(70) by 21(that equals 0.3!) 0.3 as a percentage would then be 30%, so the answer is there is a 30% decrease in price.
Which of the following number sentences is an example of the Distributive Property?
7 × (10 + 9) = (7 × 10) + (10 × 9)
7 × (10 + 9) = (7 + 10) x 9
7 × (10 + 9) = (7 × 10) + 9
7 × (10 + 9) = (7 × 10) + (7 × 9)
Answer:
d. 7 × (10 + 9) = (7 × 10) + (7 × 9)
Step-by-step explanation:
The format of writing numbers in distributive property is a(b+c) = (a×b)+(a×c)
We can see that in choice d. 7 × (10 + 9) = (7 × 10) + (7 × 9) it is in correct format of writing numbers in distributive property. Thus, choice d. is correct.
Verification:-
a(b+c) = (a×b)+(a×c)
7 × (10 + 9) = (7 × 10) + (7 × 9)
Help me pls thank you
Answer:
7
Step-by-step explanation:
To solve this, we have to solve for h.
We can use order of operations to figure this one out.
[tex]18h-9h-7h+3=17\\18h-9h-7h=14[/tex]
Now that every variable on the left side of the equation has an h, we can factor.
[tex]h(18-9-7)=14\\h=\frac{14}{18-9-7} \\h=\frac{14}{2} \\h=7[/tex]
Answer:
6
I just did some trial and error with the numbers
186-96-76+3=17
Unless I did it wrong, then just ignore this answer
Solve the equation for the indicated variable. 2x - 3y = 15 for y.
Answer:
y=-5+2/3(x)
Step-by-step explanation:
take 2x-3y=15, then subtract 2x from both sides
-2x -2x
that gives you -3y=15-2x
divide by -3
-3y=15-2x
________
3
that gives you y=-5+2/3(x)
Help help please please
Answer:
[tex]a = \sqrt{63} [/tex]
please answer this efwefrwgrehreherh
Answer:
2.8n.8n.8n.8n
option no. 4
Solve the inequality 5x < 16 + x.
Answer:
add x to 5x to get 6xdivide 16 by 6 to get x alone then whatever 16÷6 is, that is the solutionAnswer:
x < 4
Step-by-step explanation:
Predict the next term in the sequence of numbers.
2,5, 4, 10, 8, 20,
The next term of the sequence of the numbers 2, 5, 4, 10, 8, 20, is 16.
What is a squence?A Sequence is a list of numbers that are in order. Sequence follows a particular pattern.
Therefore, let's study the pattern of the sequence to know the next term.
2, 5, 4, 10, 8, 20,
The pattern can be explained as follows;
2(2) = 4
5(2) = 10
10(2) = 20
8(2) = 16
Therefore, the next term of the sequence of the number is 16.
learn more on sequence here: https://brainly.com/question/970732
Question is based on Fraction
A man intended to distribute a certain amount of money he had, by giving 2/5 to his wife and the remaining amount equally to his three sons. However, he had to give 1/6 of this amount to his brother before he distributed it as intended. He distributed the remaining amount as originally intended.
Q1. The amount a son received was 40000 rupees less than the amount he was to receive originally. Find the amount the man had intially ?
9514 1404 393
Answer:
12,00,000 rupees
Step-by-step explanation:
The fraction originally intended for each son was ...
(1/3)(1 -2/5) = 1/3(3/5) = 1/5
The fraction each son actually received was ...
(1 -1/6)(1/5) = (5/6)(1/5) = 1/6
The difference in these amounts as a fraction of the original distribution is ...
1/5 - 1/6 = (6/30) -(5/30) = 1/30
Then the original distribution is 30 times this difference:
30×40000 rupees = 12,00,000 rupees
_____
Additional comment
Originally-intended distribution (rupees):
wife: 4,80,000each son: 2,40,000Actual distribution:
brother: 2,00,000wife: 4,00,000each son: 2,00,0001,00,000 = 1 lakh
PLEASE HELP!!! I"M STUCK ON THIS PROBLEM
Find the number of ordered pairs (m,n) which satisfy the system
4(m - n) &= 7(1 - n),
3/2n= 4-2m.
If there are infinitely many such pairs, enter the word infinite.
There are no solutions to this system.
==========================================================
Explanation:
Let's simplify and rearrange terms for the first equation. The goal is to get it into the form Am+Bn = C, where A,B,C are constants.
4(m-n) = 7(1-n)
4m-4n = 7-7n
4m-4n+7n = 7
4m+3n = 7
Let's do the same for the second equation
(3/2)n = 4 - 2m
3n = 2(4-2m)
3n = 8 - 4m
4m+3n = 8
------------------------
The result of each simplification is that we ended up with 4m+3n on the left hand side for each equation. The only difference is that we got 7 for the first equation and 8 for the next one.
This is a contradiction because 4m+3n can only equal one number at a time for any given (m,n) pair. It's like saying z = 7 and z = 8 at the same time, where z = 4m+3n. But z can only equal one value at a time.
-------------------------
In summary, the given system leads to a contradiction and the system is inconsistent. This means that there are no solutions. There are 0 ordered pairs (m,n) that make both original equations to be true.
The correct answer is there is exactly one ordered pair ([tex]m = \dfrac{73}{56}[/tex] , [tex]n = \dfrac{13}{14}[/tex] ) that satisfies the given system of equations.
Given
[tex]4(m - n) = 7(1 - n)[/tex]
[tex]\dfrac{3}{2} n = 4 - 2m[/tex]
First, simplify the second equation:
[tex]\dfrac{3}{2} n +2m = 4[/tex]
Now, solve this equation for n:
[tex]n = (4 - 2m) * \dfrac{2}{3}[/tex]
[tex]n = \dfrac{(8 - 4m)}{3}[/tex]
Now, substitute this value of n into the equation [tex]4(m - n) = 7(1 - n)[/tex] :
[tex]4(m - \dfrac{(8 - 4m)}{3}) = 7(1 - \dfrac{(8 - 4m)}{3}[/tex]
[tex]m = \dfrac{73}{56}[/tex]
From the value of m, substitute it back into the equation for n:
[tex]n = \dfrac{(8 - 4m)} { 3}[/tex]
[tex]n = \dfrac{13}{14}[/tex]
The solution is one ordered pair [tex]m = \dfrac{73}{56}[/tex] and [tex]n = \dfrac{13}{14}[/tex].
Learn more about System of equations here:
https://brainly.com/question/9351049
#SPJ3
Solve this problem |6-2x| = 4
the answer is 14 !
Step-by-step explanation:
sorry i think its 14 its 14 beacuse if u subtract 16-2=14 14x1=14
The driving distance from Los Angeles to a Chicago is 2,054 mi. The distance from Chicago to Boston is 983 mi. About how many miles is the drive from Los Angeles to Boston though Chicago?
Step-by-step explanation:
given :
The driving distance from Los Angeles to a Chicago is 2,054 mi. The distance from Chicago to Boston is 983 mi.
so, the numbers of mile driving from Los Angeles to Boston though Chicago =
2,054 + 983 = 3.037 mi
What is the completely factored form of f(x) = x^3-7x^2 2x +4?
Ben is a waiter at a restaurant. on Saturday, Ben got up at 6:30am, started work at X.am and finished work at X.pm. how long in hours did Ben work that Saturday
Answer:
12 hours
Step-by-step explanation:
X = 6:30
From 6:30 am to 6:30 pm = 12 hr
The number of hours that Ben worked at the restaurant can be calculated by the expression, Xpm - Xam.
The number of hours that Ben worked can be represented as:
= Time he finished working - Time he started working
= X pm - X am
If for instance, he started work at 7 am and finished at 12 pm, he would have worked:
= 12 - 7
= 5 hours
The expression that shows the length of time he worked can therefore be concluded to Xpm - Xam.
Find out more at https://brainly.com/question/23399575.
Martin is selling chocolate bars for a fundraiser. His goal is to sell 500 chocolate bars to win the top prize. He can sell 11 per hour by standing in front of the local grocery store. He already sold 258, and he uses the equation 11x+258=500 to find out how many more hours he needs to sell for.
Solve for x.
Answer:
X=22
Step-by-step explanation:
258 ÷ 11 = 23.454 repeating. 22 = X is the closest answer to 23. High chance it is 22.
How can unit analysis help you solve a conversion problem?
Unit analysis is a method used to convert from one unit of measure to another. In a unit analysis problem, we place measurements into fraction form, build a product of fractions, and eliminate unwanted units. The steps for performing a unit analysis are as follows: Determine what conversion facts are needed
3x + 4y = 8
Is it linear? If so how do I graph it
Hey can anyone help me with this problem please and thank you !
Answer:
x = 16
Step-by-step explanation:
6x + 3 = 7x -19
3 + 19 = 7x - 6x
22 = x
so
=6x + 3
=6× 22 +3
=135°
then
=7x - 19
=7 × 22 -19
=135°
Answer:
(6x+3)=(7x-19)
-x+3=-19
-x=-22
x=22
Step-by-step explanation:
please help me solve b,c,d asap i need it in 10 min!!!
Answer:
These answer are written in standard form
Step-by-step explanation:
D. The sum of four and twice a number = 2x+4
C. Seven more than three times a number, all multiplied by itself = 3x+7
B. Nine less than a number, all divided by three = [tex]\frac{n-9}{3}[/tex]
2 math problems! Find the exact value of: (in picture) Please someone help me, thank youu
Answer
[tex]\frac{4}{5}[/tex]；0
Step-by-step explanation:
Log3 81- loge 1=4-0=4
And then 2 minus negative 3 is 5 so the answer is 4/5
144, 0
PLZ SOMEONE I NEED HELP
Please help me on this question
Answer:
Angle 4 and angle 5 also equal 180
Because angles 4 and 5 are supplementary angles (two angles that add to 180) and because 4 and 5 equal 180 that means that 5 equals 6. So 5 and 6 are congruence angels
Tickles has received 20% of his IV fluids from her 250mL bag, how many mLs has she received?
Please show work!
Answer:
50 mL
Step-by-step explanation:
<33
Answer:
50mL
Step-by-step explanation:
20% = 1/5
1/5 of 250 is 50
Therefore, she received 50mL of IV fluids.
Hope this helped!
Which conic's equation has 2 squares with the same signs and different leading coefficients?
We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.
We will see that it is the equation of the ellipse.
Now let's see why that is the correct answer.
The general conic equation is of the form:
[tex]A*(x - a)^2 + B*(x - b)^2 = R^2[/tex]
Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.
For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.
If we write:
A = 1/C
B = 1/K
(both are positive, because "it has two squares with the same signs").
Then we get the equation:
[tex]\frac{ (x - a)^2}{C} + \frac{(x - b)^2}{K} = R^2[/tex]
We get the equation we wanted.
The same sign in both square parts and different leading coefficients.
The above equation is the general equation of an ellipse.
If you want to learn more, you can read:
https://brainly.com/question/10311514
the perimeter of a rectangle is 302 the length is 131 more times than the width find the length and width
Answer:
1.300
Step-by-step explanation:
The length and the width get multiplied and your answer would be 1.300
Select the correct
function
that represents
this data.
1
2
3
4
5
Out
13
22
31
40
49
[?]
A. f(x) = 9x + 4
B. f(x) = 9x - 4
C. f(x) = (x/9) + 4
f(x) = 9x+4
here,9*1+4=13
9*2+4=22
9*2+4=31
.
.
.
In the diagram, how many circles are there for each square?
OA. 1
OB. 2
OC 12
OD. 18
Answer:
there are 2 circles for each square
Answer:
OC 12
Step-by-step explanation:
:)
Can someone pls help me with this under 20 mins and give step by step explanation and will give BRAINLIEST ANSWER WILL REPORT IF FIDNT EXPLAIN THE SPECIFIC ANSWER
Answer:
-45
Step-by-step explanation:
Get a common denominator
4y/9-6y/9=10
-2y/9=10
Multiply by 9
-2y=90
Divide by -2
y = -45
√(−x^2+3x−2)=4
Find the domain and solve.
Answer:
lol this is easy use a cal 4 x
Step-by-step explanation: