Answer:
(f - g)(x) = 4x - 4
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x
g(x) = -x + 4
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = 3x - (-x + 4)Distribute -1: (f - g)(x) = 3x + x - 4Combine like terms: (f - g)(x) = 4x - 4Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (- 2, - 2)
Answer:
y=2x+1.
Step-by-step explanation:
You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.
a keyboard that costs 475 is on sale for 175. How much money will you save buying it on sale?
Answer:
$300
Step-by-step explanation:
First, you subtract 475 and 175.
Which equals 300. That means that you saved $300.
Answer:$300
Step-by-step explanation:
475 (base price) - 175 (sale price)
=300 (saved price)
a tree of 14 m height is broken so that its top touches ground and makes an a 60 degeree.find the length of broken part of tree
Answer:
98 - 24√3 is your answer dear.
Step-by-step explanation:
Let the length of broken part of the tree = 14 - x
For finding x
sin60° = √3/2 = x /14-x
14√3 - √3x = 2x
14√3 = 2x + √3x
14√3 = (2 + √3)x
x = 14√3/(2 + √3)x
after rationalisation
x = 24√3 - 84
substract it 14 - (24√3 - 84)
YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.
help me plz and thanks
Answer:
A, the solutions are x=3,2
Step-by-step explanation:
3x + 2y = 12 y = x - 9
solve by substitution
I need help please
Answer:
I can't see the photo very well, can you retake it?
Step-by-step explanation:
Which point is a solution to the inequality shown in this graph?
(3, 2)
6
(-3,-6).
SOMEONE PLEASE HELP ME OUT WITH THIS PLEASE PLEASE PLEASEE I WANT TO PASS AND I DONT KNOW THAT ANSWER
Answer:
A and D
Step-by-step explanation:
C
i gotta add words so i meat the 20 character limit :)
3/5 divided by 2 1/2
Step-by-step explanation: To divide mixed numbers, first rewrite the mixed numbers as improper fractions.
So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.
Remember that dividing by a fractions means the same thing
as multiplying by the reciprocal of that fraction.
In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.
Finally, multiplying across the numerators and the
denominators, we have 6/25.
The result of the division of 3/5 divided by 2 1/2 is: 6/25.
Here, we have,
given that,
3/5 divided by 2 1/2
To divide mixed numbers, first rewrite the mixed numbers as improper fractions.
So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.
Remember that dividing by a fractions means the same thing
as multiplying by the reciprocal of that fraction.
In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.
Finally, multiplying across the numerators and the
denominators,
we have 6/25.
To learn more on division click:
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What is the slope of any line parallel to the graph of y = 8x + 20?
Answer:y=mx+b
m=slope
Step-by-step explanation:
the slope is 8
The slope of line is 8.
Given that,
Graph is y = 8x + 20We need to find the slope of line.According to the scenario, calculation of data are as follows,
Formula for slope of parallel line is as follows,
y = mx + b ( where m = slope)
So, by comparing both equations we get,
m = 8
or slope of line = 8
Learn more : https://brainly.com/question/14548945
The additive inverse of the complex number a+bi is -a-bi. The sum of a complex number and its additive inverse is zero.
Example: (5+4i)+(-5-4i)=0
What is the additive inverse of –2 + 8i?
2 + 8i
–2 – 8i
2 – 8i
–2 + 8i
A complex number is said to be additive if the sum of a complex number and its additive inverse is zero. The additive inverse of the complex number is 2+ 8i
What are additive inverses?A complex number is said to be additive if the sum of a complex number and its additive inverse is zero.
For instance the the additive inverse of the complex number a+bi is -a-bi.
Given the comlex number -2 + 8i, the additive inverse is expressed as:
Additive inverse = -(-2 - 8i)
Additive inverse = 2 + 8i
Hence the additive inverse of the complex number is 2+ 8i
Learn more on additive inverse here; https://brainly.com/question/3402614
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Ann and Ruth bowled together and had a combined score of 410 points. Ann's score was 44 points less than Ruth's score. Write a system of equations that can be used to determine x, Ann's score and y, Ruth's score.
Answer:
x=y-44 and x+y=410
Step-by-step explanation:
So, you want to use the equations x=y-44 and x+y=410 when x is Ann's score and y is Ruth's score. This is because x (Ann's score) is Ruth's score (y) but 44 less, so you subtract y-44 to get x. Then x+y would also have to equal 410 so that's the other equation. Graphing the 2 equations gets you to the point (183,227) in which Ann's score is 183 points and Ruth's score is 227 points.
You are choosing between two health clubs. Club A offers membership for a fee of $60 plus a monthly fee of $85. Club B offers membership for a fee of
$35 plus a monthly fee of $90. After how many months will the total cost at each health club be the same?
A.5
B.6
C.4
D. They will never be the same, Club B will always be a higher cost.
Answer:
The answer is D. But Club A will always be a Higher price
Helppp! I’m stuck on this . What is the weekly profit ?
Answer:
$901
Step-by-step explanation:
x=37units
48 (37) - 875
1776-875
901
17. What is the value of 1 +-6-(-3.5)?
Answer:
-1.5
Step-by-step explanation:
negative times negative equals positive so:
1 +-6-(-3.5)
1 + -6 + 3.5
add
-5 + 3.5
-1.5
Answer:
1.5 please like! mark brainliest
Step-by-step explanation:
What is the equation of this line?
y= 4x
y= 1/4x
y = -4x
y=-1/4x
A car travels 198 miles in 3 hours. Assuming that the distance varies directly with the time, how far will the car travel in 5 hours
Answer:
330 miles
Step-by-step explanation:
198/3 = 66; this shows how fast the car is going per hour
66 * 5 = 330; this is how far the car goes in 5 hours
How many 3/4 pound packages can you make with 6.5 pounds of sunflower seeds?
Answer:
9 bags
Step-by-step explanation:
Weight each bag should be = 3/4 pound (0.75 pound)
Total weight of sunflower seeds available = 6.5 pounds
Number of packages made = 6.5/ 3/4
= 8.66666666667
= So 9 bags at the most
If you write 8, then you wouldn't be able to fit the other 0.5 pound and if you put 9, well you will have enough more space to put 6.5 pounds.
Hope this helps!!
Please mark brainliest !
What’s the square root of 36
Answer:
6
Step-by-step explanation:
sqrt(36) = 6
Answer:
1296
Step-by-step explanation:
36 x 36 = 1296
A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x
Answer:
x=24
Step-by-step explanation:
again 180-156=24
super easy remember exterior +interior angles add up to 180
Brainliest please
First angle = 105
Second angle = x
Third angle = 156 - 105
= 51
_________________________________________
Three angles of the triangle:
[tex]105[/tex]
[tex]x[/tex]
[tex]51[/tex]
___________________________________________
Angle sum of triangle = 180°
[tex]105 + 51 + x = 180[/tex]
[tex]156 + x = 180[/tex]
[tex]x = 180 - 156[/tex]
[tex]x = 24[/tex]
Which of the following is the proper name for the figure below?
s
E
A. ADSK
B. ADKM
C. ADME
D. ADOM
Answer:
ADOM IS THE ANSWER OF THIS QUESTIONS
what are the coefficients of 4x -7 - 8x +17
PLEASE HELP ASAPPP!!!!?!!!?
Answer:
5. The minute hand is greater by 5 minutes.
4(3n-2)=what and explain by righting out. each step
Answer:
12n - 8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyStep-by-step explanation:
Step 1: Define Expression
4(3n - 2)
Step 2: Expand
Distribute 4: 4(3n) - 4(2)Multiply: 12n - 8Answer:
4(3n-2)
=> 12n-8
=> 12n=8
=> n=8/12
=> n= 2/3
The area of a rectangle is 40 square inches. The
rectangle is 8 inches long. How wide is the rectangle?
4/5 + 3/15 - 2/3= help me please
Find the value of x?
Answer:
15.09
Step-by-step explanation:
By angle bisector property of a triangle, we have:
[tex] \frac{x}{17.1} = \frac{6}{6.8} \\ \\ x = \frac{17.1 \times 6}{6.8} \\ \\ x = \frac{102.6}{6.8} \\ \\ x = 15.0882353 \\ \\ x \approx15.09[/tex]
if ∠n and ∠p are supplementary angles, m∠N=(x+3)° and m∠P=(7x-15)° ,find m∠P.
Answer:
132 degrees
Step-by-step explanation:
x+ 3+7x-15=180
8x -12 =180
8x = 168
x=21
7(21) -15
147-15
132
Which slope is the steepest?
y = 10x
y = 0.3x
y = 5x
y = 0.7x
Answer:
y = 10x
Step-by-step explanation:
*Remember the equation of a line is y = mx + b
Attached are each of the options graphed. As m increases, the slope becomes steeper. The blue line, y = 10x is the steepest of them all.
Hope this helps!
FILL IN THE BLANKS: The solution to a system of equations is where two
lines
A system can be solved by graphing, substitution, or
If two lines are
there will be no solution. If the
two lines are the same, they will have solutions. *
.
O intersect...solving....intersecting...two
O intersect... elimination...parallel...infinite
O intersect...slope...parallel..infinite
O intersect...elimination...perpendicular...one