Answers
7x = 31 + 4
7x = 35
x = 35/7
x = 5
4y + 8 = 24
4y = 24 - 8
4y = 16
y = 16/4
y = 4
Related Questions
Find the sum of the three expressions and choose the correct answer.
-8a 3 b + 3a2 b 2 - 5
2 + 5a 2 b 2
3a 3 b + 7 - 9a 2 b 2
Choices:
A.) -5a3b - a2b2 + 2
B.) -5a3b + 8a2b2 + 4
C.) -5a3b - a2b2 + 4
Answers
= -5a^3 b - a^2 b^2 + 4
answer is
C.) -5a3b - a2b2 + 4
Answer:
Sum of -8a³b+3a²b²-5,2+5a²b² and 3a³b+7-9a²b² is:
-5a³b-a²b²+4
Step-by-step explanation:
We have to find the sum of:
-8a³b+3a²b²-5,2+5a²b² and 3a³b+7-9a²b²
-8a³b+3a²b²-5+2+5a²b²+3a³b+7-9a²b²
= -5a³b-a²b²+4
Hence, sum of -8a³b+3a²b²-5,2+5a²b² and 3a³b+7-9a²b² is:
-5a³b-a²b²+4
Solve for x. 12x = 2x^2 + 18
A. x = –3
B. x = 3
C. x = –3 or x = 0
D. x = 0 or x = 3
Answers
Factor out GCF
2(x^2-6x+9)
Factor trinomial
(x-3)(x-3)
Proof
-3-3=-6
-3^2=9
Zeros
x-3=0
x=3
Final answer: B
During a recent snowstorm in red hook ny Jaime notice that there were 4 inches of snow on the ground at 3:00p.m and there were 6 inches of snow on the ground at 7:00p.m. If she were to graph these data what does the slope of the line connecting these two point represent in the context of this problem
Answers
Given that x = 7, write an equation that contains two different equivalent expressions each including at least one variable (x) and the operations: addition, subtraction, multiplication, and division.
Answers
Well here are two equivalent different expressions of my making that you could use for this question.
f(x) = 2x - 7
g(x) = 3x - 28 / 2
When x = 7, these two different expressions will equate to the same value of 7. If you meant something else let me know, otherwise this is what you should put for your essay-question.
Event A is rolling a five on a six sided die and event B is rolling an odd number on the same die. Are the events dependent or independent, why?
Answers
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A = event of rolling a five
B = event of rolling an odd number
P(A) = (number of ways to roll a five)/(number of outcomes total)
P(A) = 1/6
P(B) = (number of ways to roll an odd number)/(number of outcomes total)
P(B) = 3/6
P(B) = 1/2
P(A and B) = (number of ways to roll an odd number AND five at the same time)/(number of outcomes total)
P(A and B) = 1/6
If A and B were independent, then P(A and B) = P(A)*P(B) would be true. Let's see if it is or not
P(A and B) = P(A)*P(B)
1/6 = (1/6)*(1/2)
1/6 = 1/12
The result is false, so P(A and B) = P(A)*P(B) isn't true
This means that A and B are dependent events
If we know B has happened, then that changes the probability of A
If we know A has happened, then B is automatically true (since 5 is odd). I.e, P(B|A) = 1
P(A and B) = 3/36 = 1/6*3/6 = P(A) * P(B)
Tossing coins either,... For not being independent there must be some 'memory'. Like extracting marbles *without* replacement, ... The first action changed the second one.
Fill in the missing term in the equation. x/x^2-4x+4-x/x^2-3x+2=?/(x-2)^2(x-1)
Answers
----------------- - --------------------
x^2 -4x + 4 x^2-3x+2
x x
= ---------------- - --------------------
(x -2)^2 (x - 2)(x - 1)
x (x-1) - x(x +2)
= ----------------------------
(x -2)^2 (x - 1)
x^2 -x -x^2 - 2x
= --------------------------
(x -2)^2 (x - 1)
-3x
= -----------------------
(x -2)^2 (x - 1)
answer
missing term in the equation: -3x
Answer:
The missing term is x.
Step-by-step explanation:
Given expression is,
[tex]\frac{x}{x^2-4x+4}-\frac{x}{x^2-3x+2}------(1)[/tex]
Since, [tex]x^2-4x+4=(x)^2-2\times (2x)+(2)^2[/tex]
[tex]\implies x^2-4x+4=(x-2)^2------(2)[/tex] ( (a-b)² = a² - 2ab + b² )
Now, [tex]x^2-3x+2=x^2-2x-x+2[/tex] ( By middle term splitting )
[tex]=x(x-2)-1(x-2)[/tex]
[tex]\implies x^2-3x+2=(x-1)(x-2)------(3)[/tex]
From equation (1), (2) and (3),
[tex]\frac{x}{x^2-4x+4}-\frac{x}{x^2-3x+2}=\frac{x}{(x-2)^2}-\frac{x}{(x-2)(x-1)}[/tex]
[tex]=\frac{x(x-1)-x(x-2)}{(x-2)^2(x-1)}[/tex]
[tex]=\frac{x(x-1-x+2)}{(x-2)^2(x-1)}[/tex]
[tex]=\frac{x(1)}{(x-2)^2(x-1)}[/tex]
[tex]=\frac{x}{(x-2)^2(x-1)}[/tex]
Hence, the missing term in the equation is x.
If you buy something at a 20% discount off the listed price of $ 97, but pay a sales tax of 10% after the discount is applied, how much do you end up paying? $
Answers
A circle has a diameter of 13 centimeters and a central angle EOG that measures 280 degrees. What is the length of the intercepted arc EG? Use 3.14 for pi and round your answer to the nearest tenth. A) 10.1 cm B) 15.9 cm C) 31.7 cm D) 63.5 cm
Answers
Length of EG = 40.82 * 280 / 360 = 31.7 cm.
Double vision can be the result of _________________.
Wearing glasses that are too strong
Looking directly into bright headlights Passing other cars
Eye muscles relaxed from fatigue, drugs, or alcohol
Rapid eye blinking
Answers
Final answer:
Double vision can be caused by wearing glasses that are too strong, eye muscles being relaxed from fatigue, drugs, or alcohol, or by rapid eye blinking. Nearsightedness and farsightedness are common vision defects related to the eye's focusing ability but do not usually cause double vision, which can also be a result of misalignment.
Explanation:
Double vision can be the result of several factors including wearing glasses that are too strong, eye muscles relaxed from fatigue, drugs, or alcohol, or rapid eye blinking. It is not typically caused by looking directly into bright headlights or the action of passing other cars, which are more likely to cause temporary glare or flash blindness rather than persistent double vision.
Common vision defects such as nearsightedness (myopia) and farsightedness (hyperopia) are related to the focusing ability of the eyes. Myopia occurs when the eye over-converges the rays from a distant object in front of the retina, causing distant objects to appear blurry. Hyperopia, on the other hand, happens when the eye does not converge rays from a close object sufficiently, making close objects appear blurry. Misalignment can also cause double vision, and this can be due to a variety of factors including strabismus or nerve damage. Correction of vision defects often involves the use of glasses or contact lenses with the appropriate lens power or surgery for more severe cases.
A bicyclist travels at the rate of 8 miles in an hour. If the bicyclist continues at this rate, how many miles can the bicyclist travel in seven hours?
A. 54 miles
B. 55 miles
C. 45 miles
D. 56 miles
Answers
x = 8 miles/hour * 7 hours
[tex]x=\frac{8\ miles}{hour}*\frac{7\ hours}{1}\\\\x=\frac{56\ miles}{1}=56\ miles\ travelled[/tex]
True or false? the point at which a tangent line meets a circle is called the point of tangency
Answers
Final answer:
The statement is true; a tangent line meets a circle at the point of tangency, which is the unique point where the tangent touches the circle without intersecting it.
Explanation:
True, the point at which a tangent line meets a circle is indeed called the point of tangency. This is a fundamental concept in geometry, where a tangent line is defined as a line that touches a curve at exactly one point, without crossing through it. This distinct point is known as the point of tangency.
For example, if we have a circle and a line that touches the circle at just one point and does not intersect it at that point, that line is a tangent to the circle, and the point of contact is the point of tangency. The tangent line is always perpendicular to the radius of the circle at the point of tangency, as can also be seen from the properties of the director circle, which is the locus of points of intersection of perpendicular tangents to the curves like ellipses and hyperbolas.
In the context of a director circle, perpendicular tangents to an ellipse would intersect on this special circle. Although for this particular question, we are focusing on the tangent line to a single circle and its point of tangency. It's interesting to note that according to the properties of circles, every point on a circle allows for exactly one tangent line. Whenever such a line is drawn, it illustrates the concept of tangency.
20 is what percent of 50?
Answers
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~
First, you need to do 20 divided by 50 (or in your calculator 20/50)...
Second, you would do long division (or in the calculator, press 'enter')...
And boom-bada-boom, your answer is: 20 is 40% of 50
----------------------------------------------------------
For future reference, please try to avoid asking/posting questions that can be answered using the calculator...
(100/x)*x=(50/20)*x
100=2.5*x
100/2.5=x
40=x
x=40
So 20 is 40% of 50
How to solve; you roll a pair of number cubes what is the probability of rolling a number less than 4 on both cubes?
Answers
6 numbers per cube
3 numbers are less than 4 ( 1, 2 & 3)
so you have a 3/6, reduce to 1/2 probability of rolling a number less than 4 on each cube
2 cubes
so 1/2 * 1/2 = 1/4 probability
In a geometric sequence, a4=54 and a7=1458. What is the 12th term?
a. 5,616
b. 354,294
c. 14,350,365
d. 234,812,358
Answers
Answer-
[tex]\boxed{\boxed{a_{12}=354294}}[/tex]
Solution-
If there are 2 terms of a Geometric Sequence [tex]a_n[/tex] and [tex]a_k[/tex] where (n > k), then
[tex]a_n=a_k\cdot r^{n-k}[/tex]
where, r = common ration of the G.P.
Here,
[tex]a_4 = 54\\\\a_7=1458[/tex]
Putting in the equation,
[tex]\Rightarrow a_7=a_4\cdot r^{7-3}[/tex]
[tex]\Rightarrow a_7=a_4\cdot r^3[/tex]
[tex]\Rightarrow 1458=54\cdot r^3[/tex]
[tex]\Rightarrow r^3=\dfrac{1458}{54}[/tex]
[tex]\Rightarrow r^3=27[/tex]
[tex]\Rightarrow r=3[/tex]
Again putting the values in the equation,
[tex]\Rightarrow a_{12}=a_7\cdot r^{12-7}[/tex]
[tex]\Rightarrow a_{12}=a_7\cdot r^5[/tex]
[tex]\Rightarrow a_{12}=1458\cdot 3^5[/tex]
[tex]\Rightarrow a_{12}=354294[/tex]
The 12th term of the geometric sequence is 354,294
The nth term of a geometric sequenceThe nth term of a geometric progression is given by the formula:
[tex]a_n = ar^{n-1}[/tex]
For n = 4
[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\ar^3=54..................(1)[/tex]
For n = 7
[tex]a_7=ar^{7-1}\\\\a_7=ar^6\\\\ar^6=1458................(2)[/tex]
Divide equation (2) by equation (1)
[tex]\frac{ar^6}{ar^3} =\frac{1458}{54} \\\\r^3=27\\\\r^3=3^3\\\\r = 3[/tex]
Substitute r = 3 into equation (1)
[tex]a(3)^3=54\\\\27a=54\\\\a=\frac{54}{27}\\\\a=2[/tex]
The 12th term of the sequence is therefore calculated below
[tex]a_{12}=ar^{11}\\\\a_{12}=2(3^{11})\\\\a_{12}=354294[/tex]
The 12th term of the geometric sequence is 354,294
Learn more on geometric sequences here: https://brainly.com/question/1662572
Complete the square to solve the equation below.
x²+x =7/4
A.)x=3, x= -1
B.)x= -2+ √2, x= -2- √2
C.) x= -1/2+√2, x= -1/2- √2
D.) x=1+ √-2, x= 1- √2
Answers
x² + x = 7/4
x² + - 7/4 = 0
Now we gonna use the quadratic formula to find x
a= 1
b=1
c = -1.75
x = -b+/-√b² -4ac all of them divide by 2a
x = -(1)+/-√(1)² - (4)(1)(-1.75) all of them divide by 2(1)
x= -1+/-√8 all of them divide by 2
x = -1/2 + √2 or x = -1/2 - √2
The correct option is option C
I hope that helps!
Answer: The correct answer is C
Step-by-step explanation: APPEX learning quiz
Margie and four friends are eating lunch at a restaurant. The total bill is $52.50 before tax and tip. Margie has a coupon good for $10off their total purchase. If sales tax of 6 percent is collected on the discount amount, what is the total cost after tax?
Answers
has a $ 10 off coupon..
52.50 - 10 = 42.50...this is the discount amount
has a 6% sales tax
0.06(42.50) = 2.55...this is the sales tax
for a total of : 42.50 + 2.55 = 45.05 <==
You are saving money to buy a new game system you received $50 as a birthday gift from your grandparents. You want to save $25 a week from mowing lawns.
Answers
What is the value of 35+20/5-4*7
11
49
245
35
Hellllpp :)
Answers
= 35 + 4 - 28 = 11
The answer is 11
35 + 20/5 - 4×7 =
35 + 4 - 28 =
39 - 28 =
11
25 POINTS PLZ HELP ASAP!!!
Match the functions with their inverse functions.
Answers
1)
y=(2x-3)/5
5y=2x-3
5y+3=2x
(5y+3)/2=x
-> f(x)=(5x+3)/2
2)
y=(x+8)/2
2y=x+8
2y-8=x
-> f(x)=2x-8
3)
y=(x+2)/7
7y=x+2
7y-2=x
-> f(x)=7x-2
4)
y=(1-2x)/x
y=(1/x)-2
y+2=1/x
x=1/(y+2)
-> f(x)=1/(x+2)
We know that when we are given a inverse function as: [tex]f^{-1}(x)[/tex]
Then we find the function by the method:
Put [tex]f^{-1}(x)=y[/tex]
Then we switch the places of x and y and solve for y.
1)
[tex]f^{-1}(x)=\dfrac{2x-3}{5}[/tex]
Hence, we find the function as follows:
[tex]\dfrac{2x-3}{5}=y[/tex]
Then we switch for x and y
[tex]\dfrac{2y-3}{5}=x\\\\\\i.e.\\\\2y-3=5x\\\\\\i.e.\\\\\\2y=5x+3\\\\\\i.e.\\\\\\y=\dfrac{5x+3}{2}[/tex]
Hence, inverse function is:
[tex]f(x)=\dfrac{5x+3}{2}[/tex]
2)
[tex]f^{-1}(x)=\dfrac{x+8}{2}[/tex]
Hence, we find the function as follows:
[tex]\dfrac{x+8}{2}=y[/tex]
Then we switch for x and y
[tex]\dfrac{y+8}{2}=x[/tex]
[tex]y=2x-8[/tex]
Hence, inverse function is:
[tex]f(x)=2x-8[/tex]
3)
[tex]f^{-1}(x)=\dfrac{x+2}{7}[/tex]
Hence, we find the function as follows:
[tex]\dfrac{x+2}{7}=y[/tex]
Then we switch for x and y
[tex]\dfrac{y+2}{7}=x[/tex]
[tex]y=7x-2[/tex]
Hence, inverse function is:
[tex]f(x)=7x-2[/tex]
4)
[tex]f^{-1}(x)=\dfrac{1-2x}{x}[/tex]
Hence, we find the function as follows:
[tex]\dfrac{1-2x}{x}=y[/tex]
Then we switch for x and y
[tex]\dfrac{1-2y}{y}=x[/tex]
i.e.
[tex]1-2y=xy\\\\xy+2y=1\\\\i.e.\\\\y(x+2)=1\\\\y=\dfrac{1}{x+2}[/tex]
Hence, inverse function is:
[tex]f(x)=\dfrac{1}{x+2}[/tex]
A coin collector bought a set of coins for $500, and then sold the set for $850, making a profit of $50 per coin. how many coins were in the set?
Answers
For this case, the first thing we must do is calculate the total profit.
We have then:
[tex] P = 850 - 500 [/tex]
[tex] P = 350 [/tex]
Then, we look for the number of coins.
For this, we need the total profit (which we already calculate) and the amount of profit per coin.
We have then:
[tex] N = \frac{350}{50} [/tex]
[tex] N = 7 [/tex]
Answer:
The amount of coins that was on the set is:
[tex] N = 7 [/tex]
Final answer:
The coin collector bought and sold a set of coins, making a total profit of $350. Dividing this profit by the $50 profit per coin reveals that there were 7 coins in the set.
Explanation:
The coin collector made a profit of $50 per coin by selling a set of coins. To find out how many coins were in the set, we need to calculate the total profit made from selling the coins and then divide that by the profit per coin.
The total profit is the selling price minus the buying price, so $850 - $500 = $350. If the collector made $50 profit per coin, then the number of coins in the set can be found by dividing the total profit by the profit per coin: $350 / $50 per coin = 7 coins.
Jill spend $15 on diapers. If they cost $5 a package, how many packages did she buy ?
Answers
The base of a cone can be
A. a triangle.
B. a pentagon.
C. a square.
D. an ellipse.
Answers
If H(x)=4x^2-16 were shifted 9 units to the right and 1 down, what wold be the new equation?
A. H(x)= 4(x+9)^2-17
B. H(x)= 4(x-7)^2+16
C. H(x)= 4(x-17)^2-9
D. H(x)= 4(x-9)^2-17
Answers
to move a function c units up, add c to the whole function
so
we want 9 to the right and 1 down
basically we need to find f(x-9)-1 (-1 is up -1 units)
f(x-9)-1=4(x-9)²-16-1
f(x-9)=4(x-9)²-17
answer is D
Answer: H(x)=4(x-9)^2-17
Step-by-step explanation:
What is the result of isolating y2 in the equation below? 9x2 + 7y2 = 42
Answers
7y^2 = 42 - 9x^2
Then, divide 7 on both sides:
y^2 = 6 - 9/7 * x^2
Isolating a variable involves changing the subject of the equation.
The result of isolating y^2 is: [tex]\mathbf{y^2 = \frac{42 - 9x^2}7}[/tex]
The equation is given as:
[tex]\mathbf{9x^2 + 7y^2 = 42}[/tex]
Subtract 9x^2 from both sides
[tex]\mathbf{7y^2 = 42 - 9x^2}[/tex]
Divide through by 7
[tex]\mathbf{y^2 = \frac{42 - 9x^2}7}[/tex]
Hence, the result of isolating y^2 is: [tex]\mathbf{y^2 = \frac{42 - 9x^2}7}[/tex]
Read more about subject of formulas at:
https://brainly.com/question/21866313
37. A juice pitcher holds 1.5 gallons of liquid. How many 8-ounce glasses of juice can be poured from a full pitcher? (1 gallon 128 ounces) Explain your answer by writing or describing the steps you used to solve the problem.
Answers
1 gallon = 128 ounces
multiply 128 by 1.5 gallons:
1.5 x 128 = 192 ounces total
divide total ounces by 8 to get number of glasses:
192/8 = 24
you can pour 24 eight ounce glasses
How much carpet is needed to cover 2 rooms, one of which is 12 ft by 6 ft and the other 10 ft by 8 ft?
Answers
Answer:
152 square feet
Step-by-step explanation:
The area of a rectangle is the product of its length and width. The total area of carpet required is the sum of the areas of the two rooms:
carpet area = (12 ft)(6 ft) +(10 ft)(80 ft) = 72 ft^2 +80 ft^2
carpet area = 152 ft^2
Use the graph below to answer the following question:
What is the average rate of change from x = 1 to x = 4?
−3
−1
1
3
Answers
Answer:
Step-by-step explanation:
_______
Good evening ,
_______________
f(1)=3 and f(3) = -1 so the average rate of change from x = 1 to x = 4 is 1.
Look at the photo below for more details,
________________________________
:)
What is the height, h, of one of the triangles?
Answers
answer
8ft (first one)
Answer:
8ft
Step-by-step explanation:
How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
Answers
-4x-11=2 (x-3x)+13
-4x-11=2 (-2x)+13
-4x-11=-4x+13
-11 is not equal to 13 so there is no solution
Answer:
it is no solutions
Step-by-step explanation:
Explain how to write and evaluate an algebraic expression.
one more than the product of a number and seven decreased by five; evaluate when n=6
Answers
one more then the product of a number and 7 decreased by 5...
" product " means multiply.....so the product of a number and 7 would be 7n.
one more then the product....(7n + 1)....." decreased" means subtract....
so ur expression is : (7n + 1) - 5
(7n + 1) - 5....when n = 6
(7(6) + 1) - 5 =
43 - 5 =
38 <==
Answer:
Replace critical words with variables, numbers, and operations. More than is addition, the product is multiplication and decreased by is subtraction. The constants are 1, 7, and 5. The expression is 1 + 7n – 5. To evaluate the expression, substitute 6 for the variable and then simplify the order of operations. The value when n = 6 is 38.Step-by-step explanation: