Answer:
x=12 makes (X-12)/(x-8) equal to zero
x=8 makes (X-12)/(x-8) undefined
Step-by-step explanation:
(x-12)/(x-8) = 0
The first step is to multiply each side by x-8
(x-8) *(x-12)/(x-8) = 0 * (x-8)
This cancels the denominator. x≠ 8 because the denominator would equal 0 and then it becomes undefined.
x-12 = 0
Add 12 to each side
x-12+12 = 0+12
x = 12
I
The function f(x) is shown in the graph. What is the equation for f(x)?
f(x)=____
express the equation in slope-intercept form: f(x) = mx + b.
Here's a general outline of the process we'll follow once I have the graph:
Identify key features:
Slope: Determine the slope of the line, which signifies the rate of change of the function. You can calculate it using the formula slope = (change in y) / (change in x) between any two points on the line.
Y-intercept: Locate the point where the line intersects the y-axis. This point is crucial for determining the function's vertical shift.
Apply slope-intercept form:
Once you have the slope (m) and y-intercept (b), express the equation in slope-intercept form: f(x) = mx + b.
Verify with points:
Choose a few points on the graph and substitute their coordinates into the equation to ensure it accurately represents the line.
Help me again, please. ;w;
5x - 7y =58
y =-x +2
Using the substitution method, replace y in the first equation with the second equation:
5x - 7(-x+2) = 58
Simplify by using the distribution property:
5x - (-7x) - 14 = 58
Simplify by combining like terms:
12x -14 = 58
Add 14 from each side of the equation:
12x = 72
Divide both sides by 12:
X = 72/12
x = 6
Now you have x, replace x in the second equation and solve for y:
y = -x +2
y = -6 +2
y = -4
X = 6, y = -4
One quart or one liter? Which is greater?
1 liter = 1.06 quarts.
This makes the liter greater than a quart.
1/8 of pizza cost 2 dollars. In an hour, 6 1/4 pizzas were sold. How much money was made at the food booth in that hour
Noah wants to put a varitey of fish in his new tank his tank is large enough to hold 70 fish find how many fish of each breed he can have 20% are raibbow 40% are swordtail molly are 30%
The amounts of each type of fish that Noah is going to have in his tank are given as follows:
14 raibbow.28 swordtail molly.21 of the remaining.How to obtain the amounts?The quantity of each type of the fish listed in this problem that Noah will have in his tank is obtained applying the proportions in the context of the problem.
The total capacity of the tank is of 70 fish, hence for the amounts of each fish we multiply 70 by the decimal equivalent to each percentage.
Applying the proportions, the amounts are given as follows:
14 raibbow, as 0.2 x 70 = 14.28 swordtail molly, as 0.4 x 70 = 28.21 of the remaining, as 0.3 x 70 = 21.More can be learned about proportions at https://brainly.com/question/24372153
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Maria deposited some money in to an account, and had an annual simple interest rate of 5%. If she left the money in the account for 9 months and earned $18.75 in interest, how much money did she originally deposit into the account?
Answer:
$18.71
Step-by-step explanation:
18.75 = P x .05 x .75
18.75 = P x .0375
18.75 - .0375 = P
$18.71 = P
URGENT!!!!
LM is the mid segment of ABCD. AB=69 and DC=182. What is LM
Answer: 125.5 is the answer in decimal form. If you need it in fraction form it would be 251/2
To get this answer, you add up the parallel sides AB+DC = 69+182 =251
Then you divide by 2 leading us to get 251/2 = 125.5
The midsegment is basically the average of the two parallel sides
can someone please help me i am failing my math and am very behind my math grade level can someone explain this to me please
Answer:
The answer to number 7 is -1.25
The answer to number 8 is 1.25
CAN SOMEONE PLS HELP!???
Answer: 10%, 0.5, 3/4
Step-by-step explanation:
What you want to do is convert them all to one unit. The eaisest would be a decimal.
Starting off with .5, it's already in decimal form.
Next go to 10%. 10% as a decimal will be 0.1, because its 1/10.
Lastly, go to 3/4. 3/5 as a decimal would be 0.75.
Putting them in order from least to greatest would be 10%, 0.5, 3/4.
(Hope that helps)
Answer:
10%, 0.5, 3/4
Step-by-step explanation:
This is actually quite simple, all you need is a quick calculation.
I'm going to convert all of the numbers to decimals for the easiest comparison.
put 3/4 into a calculator, and you get 0.75
0.5 is already a decimal
and with percents, you just move the decimal point back two, making it 0.1
Now you have an easy way to compare: 0.1 is the least, 0.5 is next, the 0.75 is the largest.
Hope this helps =D
Simplify 8^10 ÷ 8^5.
8^15
8^5
8^2
8^50
Answer:
8^5
Step-by-step explanation:
When we divide exponents with the same base, we subtract the exponents
8^10 ÷ 8^5
8^ (10-5)
8^5
Answer:
8^5 Disclaimer this is not the complete simplification. (see below)
Step-by-step explanation:
Simplify the following:
8^10/8^5
Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to 8^10/8^5.
Combine powers. 8^10/8^5 = 8^(10 - 5):
8^(10 - 5)
Hint: | Subtract 5 from 10.
10 - 5 = 5:
8^5
Hint: | Compute 8^5 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.
8^5 = 8×8^4 = 8 (8^2)^2:
8 (8^2)^2
Hint: | Evaluate 8^2.
8^2 = 64:
8×64^2
Hint: | Evaluate 64^2.
| | 6 | 4
× | | 6 | 4
| 2 | 5 | 6
3 | 8 | 4 | 0
4 | 0 | 9 | 6:
8×4096
Express 16/2^1/2 as a power of 2
Question
Express 16/2^1/2 as a power of 2
Answer:
2²Step-by-step explanation:
16/2^1/2 =
8/2 =
4
4 = 2²
Evaluate 2(10 - d) + f, when d = 7 and f = -3.
A. -2
B. 3
C. 9
D. 20
Answer:
B. 3
Step-by-step explanation:
2(10 - d) + f
d = 7 and f = -3
Substitute these value in
2(10 - 7) + -3
2 * (3) -3
6 -3
3
Put the values of d = 7 and f = -3 to the expression 2(10 - d) + f
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
------------------------------------------------------------------------------
2(10 - 7) + (-3) = 2(3) - 3 = 6 - 3 = 3
Answer: B. 38. Workpad Note: Remember to show all of the steps you use to solve a problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure yiu recieve proper credit for your answer.
At the half-time show, a marching band marched in formation. The lead drummer started at a point with coordinates (2,-5) and moved 3 steps up and 1 step right.
a. Write a rule to describe the translation.
b. what were the coordinates of the drummer's final position?
Answer: a) (x, y) → (x + 1, y + 3)
b) (2, -5) → (3, -2)
Step-by-step explanation:
the x-axis goes left and right, so 1 step to the right means you need to add 1 unit to the x-coordinate.
the y-axis goes up and down, so 3 steps up means you need to add 3 units to the y-coordinate.
Rule:
If original x-coordinate is x, then the new coordinate is x + 1 (x → x+1)
If original y-coordinate is y, then the new coordinate is y + 3 (y → y+3)
Final position:
If original x-coordinate is 2, then the new coordinate is 2 + 1 (2 → 3)
If original y-coordinate is -5, then the new coordinate is -5 + 3 (-5 → -2)
you have a 20 ounce bottle of juice. you pour out 1/4 of the bottle to share with a friend. if your our out 3 ounces for yourself, what fraction of the 20 ounces will be left in the bottle?
To determine the remaining fraction of juice in the bottle, subtract the poured amount from the original 20 ounces. The fraction left in the bottle is 3/5 of the original 20 ounces.
To find the fraction of juice left in the bottle:
Start with 20 ounces.
Pour out 1/4 for a friend, which is 5 ounces (1/4 of 20).
Pour out 3 more ounces for yourself.
Subtract the total poured out (5 + 3 = 8) from the starting amount (20) to find what's left.
So, 20 - 8 = 12 ounces left in the bottle, which represents 3/5 of the original 20 ounces.
In the number 668 the 6 in the hundreds place is _ the value of the 6 in the tens place
please help i really need help
The location of four game stops are on a coordinate grid are as follows: Stop 1 at (−2,1) Stop 2 at (−2, −7) Stop 3 at (5,−7) Stop 4 at (5, 1) Paulo begins at Stop 1 and then walks to Stop 2, then Stop 3, and then Stop 4. Then he walks to Stop 1 again. The path between each stop is a straight line. One unit on the coordinate grid equals 125 feet. What is the total distance Paulo walked?
Answer:
3750 ft
Step-by-step explanation:
Denote Stops as points A(-2,1), B(-2,-7), C(5,-7) and D(5,1) and find all distances between two consecutive points:
[tex]AB=\sqrt{(-2-(-2))^2+(1-(-7))^2}=8\ units;[/tex][tex]BC=\sqrt{(-2-5)^2+(-7-(-7))^2}=7\ units;[/tex][tex]CD=\sqrt{(5-5)^2+(1-(-7))^2}=8\ units;[/tex][tex]DA=\sqrt{(5-(-2))^2+(1-1)^2}=7\ units.[/tex]The total distance Paolo walked is
[tex]8+7+8+7=30\ units.[/tex]
Since 1 unit on the coordinate grid equals 125 feet, then the total distance Paolo walked is
[tex]30\cdot 125=3750\ ft.[/tex]
Circle A has a radius of 6. Which circles are congruent to circle A? Check all that apply. circle D circle E circle F circle G circle H
Answer:
circle E & circle F
Step-by-step explanation:
We want to see which circles are congruent to circle A, a circle of radius of 6 units.
The correct options are E and F.
Let's see how to solve this:
First, we need to understand what congruent figures are.
We say that two figures are congruent if they have the exact same shape and size.
Then we need to see which other circles also have a radius (distance from the center to the line) is also of 6 units. (or a diameter of 12 units)
The image of the options can be seen at the end of the answer, there, we can see that circle E has a radius of 6 units, so we know that circle E is congruent to circle A.
We also can see that circle F has a diameter (twice the radius) of 12 units, then the radius is:
R = D/2 = 12/2 = 6 units.
Then circle F is also congruent to circle A.
Then the correct options are E and F.
If you want to learn more, you can read:
https://brainly.com/question/12132062
Solve the following equation below ax=15+b
Solve for x.
Answer:
x=15/a+b/a
Step-by-step explanation:
a*x=15+b
you need to move all the variables (a) to one side and to do that you can re-organize it to say
x*a=15+b
to get the answer you need to divide (a) and that gets you your answer,
x=15/a+b/a
Here is your equation:
[tex]ax=15+b[/tex]
You're trying to find x alone. To find a specific variable, you have to do the opposite of what's happening to the variable, which is x in this equation.
In this equation, x is being multiplied by a. That means you have to do the opposite of multiplying, which is dividing by a. To leave x alone, divide both sides by a.
[tex]ax \div a = \frac{15+b}{a}[/tex]
Now that you have divided both sides by a, which leaves x alone, you have:
[tex]x = \frac{15+b}{a}[/tex]
Your answer is [tex]x = \frac{15+b}{a}[/tex]
If you have any questions, feel free to ask in the comments! :)
Plz Help I don't understand.
And could you Plz explain how to do it As well.
At the end of 2007-2008 football seasons, 38 super bowl games had been played with the current two football leagues, The American football conference (AFC) and the national football conference (NFC). The NFC won two more games than the AFC. How many games did each conference win?
Answer: AFC won 18 times, NFC won 20 times
============================
N = number of times an NFC team won the superbowl
A = number of times an AFC team won the superbowl
The two unknown numbers (N and A) must add to 38 as there are no other options (either there is an NFC or AFC champion) so N+A = 38
The other equation is N = A+2 because "the NCF won two more games than the AFC"
We can replace the "N" in N+A = 38 with A+2 because N = A+2, meaning that N and A+2 are the same
So,
N+A = 38
A+2+A = 38 ... replace N with A+2; solve for A
2A+2 = 38
2A+2-2 = 38-2
2A = 36
2A/2 = 36/2
A = 18
The AFC won 18 times. Use this value of A to find N
N = A+2
N = 18+2
N = 20
The NFC won 20 times.
As a check, adding up the two counts should get us 38
N+A = 38
20+18 = 38
38 = 38
Answer is confirmed
It cost six dollars Per pound of peanuts at Blessed Food Market. Which of the following represents The range of the function in terms of cost per pound?
A. $6
B. Amount of peanuts
C. Cost of peanuts purchased
D. Peanuts purchased
Answer:
C. Cost of peanuts purchased
Step-by-step explanation:
The range is the values that the y variable, or the output can take.
The output is the cost of the peanuts
HELP PLEASE! WILL GIVE 100 POINTS AND BRAINLY IF CORRECT
Answer:
f(3) = - 1
Step-by-step explanation:
to evaluate f(3) substitute x = 3 into f(x)
f(3) = - [tex]\frac{2}{3}[/tex] × 3 + 1 = - 2 + 1 = - 1
Answer:
f3 = -1
Step-by-step explanation:
to evaluate f(3) substitute x = 3 into f(x)
f(3) = - \frac{2}{3} × 3 + 1 = - 2 + 1 = - 1
John bought 6 dumplings for $3.00.
Let x represent the number of dumplings purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.
Line
Answer:
Step-by-step explanation:
The first dote should go on the 0 and the second dote should go on the two
What’s the answer show your WORK Plz
Answer:
732.7 I think
Step-by-step explanation:
You just multiply 28 by 26.17
Answer:
26.17*28=723.76 inches
Why?
There is 28 desks and they are 26.17 inches long. If you line them all up you have 28 desks each 26.17 inches in a line. Which is 26.17*28. Multiple and you get 723.76
URGENT HOMEWORK!!! MULTIPLE CHOICE! Four bags of flour and three bags of sugar weigh 44 pounds. Six bags of flour weigh 48 pounds. All bags of flour weigh the same, and all bags of sugar weigh the same. What is the ratio of the weight of a bag of flour to a bag of sugar?
a) 2:1 b) 1:2 c) 3:2 d) 2:3
Answer: 4 flour + 3 sugar = 44lbs
6 flour = 48lbs
We can divide 48lbs by 6 bags of flour to get 8lbs per bag of flour.
4 bags of flour multiplied by 8lbs is 32lbs. 44lbs - 32lbs = 12lbs
12lbs divided by 3 bags of sugar = 4lbs per bag of sugar.
The ratio is flour to sugar: 8:4 or 2:1
We create two equations based on the information given: 4F+3S=44 and 6F=48. By solving these equations, we find the weight of a bag of flour is 8 pounds and the weight of a bag of sugar is 4 pounds. Thus, the ratio of weight is 2:1.
Explanation:
We can solve this problem by setting up two equations based on the information given and then solve the equations to find the weights of the bags of flour and sugar. Let's denote the weight of a bag of flour as F and the weight of a bag of sugar as S.
According to the problem, 4 bags of flour plus 3 bags of sugar weigh 44 pounds. So we can write the equation 4F + 3S = 44.The problem also tells us that 6 bags of flour weigh 48 pounds. So we have another equation 6F = 48.From the second equation, we can find that F = 48 / 6 = 8 pounds. Substitute F = 8 into the first equation, we find S = 4 pounds.
Therefore, the ratio of the weight of a bag of flour to a bag of sugar is 8:4 or simplified to 2:1 (option a).
Learn more about Ratio here:https://brainly.com/question/32531170
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Describe how you can use compatible numbers to estimate 17 x 27
Answer:
600
Step-by-step explanation:
Well, the closest number for 17 is 20, and for 27 is 30.
When we multiply those two numbers :
20*30=600
We got 600
To estimate 17 x 27 using compatible numbers, round 17 to 20 and 27 to 25, then multiply to get an estimated product of 500.
Using compatible numbers to estimate the product of 17 x 27 involves finding numbers close to 17 and 27 that are easier to multiply mentally, such as multiples of 10.
A good choice here would be to round 17 up to 20 and 27 down to 25 for the approximation.
By doing so, we simplify the multiplication to 20 x 25.
The estimated product using compatible numbers would be:
20 x 25 = 500
So, an estimated answer to 17 x 27 using compatible numbers would be 500.
This method provides a quick and easy way to estimate the result, which is particularly useful when exact calculations are not necessary, or you need a fast approximation.
Can someone pls help me solve this question!!!!!!!
Total of 90 fish:
c + p = 90
Charlie gave 1/4 c to Peter. Now
Charlie has c - (1/4) c
Peter has p + (1/4) c
Peter gave 2/5 of his to Charlie. Now
Peter has p + (1/4) c - 2/5( p + (1/4) c )
Charlie has c - (1/4) c + 2/5( p + (1/4) c )
And then they had equal number:
c - (1/4) c + 2/5( p + (1/4) c ) = p + (1/4) c - 2/5( p + (1/4) c )
Let's do the easy subtractions then multiply by 20 to clear the fractions,
(3/4) c + 2/5( p + (1/4) c ) = 3/5( p + (1/4) c )
15c + 8p + 2c = 12p + 3c
14c = 4p
7c = 2p
c + p = 90
2c + 2p = 180
2c + 7c = 180
9c = 180
c = 20
p = 70
Answer: Charlie started with 20, Peter with 70
Check:
Initially C:20, P:70
1/4(20)=5 to P
C:15, P:75
(2/5) 75 = 30 to C
C:45, P45
Good
Kara is sorting buttons by length for a craft project. The line plot shows the length of each button. If Kara lines up all the 3/4-inch buttons, what would be the total length?
Answer:
2 and 1/4 or 2.25. Both numbers are the same.
Step-by-step explanation:
Hi,
Please see the picture I had to upload in order for this question to be complete. Please also note that Kara has 3 buttons in the 3/4 length. You have to sum up only those in that length and ignore the ones in different lengths.
It is a very simple multiplication, and there are 2 ways to do so. You can use either fractions or integer numbers. See the 2 options below:
3/4 (fractions) = .75 (integer numbers)
Option one - 3 * 3/4 = 9/4 which is represented by 2 and 1/4.
Option two - 3 * .75 = 2.25
Have a good one!
Simplify
0.1 (3x - 4y) + 0.7x - 3y.
Answer:
0.1(3x-4y)+0.7x-3y
0.1(3x-4y)+0.7x-3y Distribute 0.1 through the parenthesis
0.3x-0.4y+0.7x-3y Collect the like terms ex.(x,x) (y,y)
(0.3+0.7)x+(-0.4-3)y
↓ ↓
x - 3.4 y
The answer is
X-3.4y
Step-by-step explanation:
Which of following statements are true? 1. -18>5 2. -5> 0.5 3. -5>. 0 4. -5 > 5squared 5. -5> -18
A negative number is always less than a positive number.
When comparing two negative numbers, the smaller negative number is the greater value.
The answer would be 5. -5 > -18
Answer:
5. -5 > -18
Step-by-step explanation:
Positive numbers are greater than negative ones. Also think of the numbers on a mercury thermometer :- -5 his greater ( and warmer!) than -18.