Answer:
D
Step-by-step explanation:
I need help with both, please explain thoroughly. Does it make a difference if it says "from the origin" or "about vertex _"???
Answer:
Yes
Step-by-step explanation:
From the origin means from the centre or middle but about a vertex is from a named point.
The orchard just sold 72 apples, which is 12% of the total number of apples they put up for sale. How many apples did they put up for sale?
Answer:
600 apples
Step-by-step explanation:
12%= 72
1%=6
100%=600
The orchard sold 72 apples, which represents 12% of the total number of apples they put up for sale. The total number of apples they put up for sale is 600.
Use the concept of percentage defined as:
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.
Given that,
The orchard sold 72 apples.
The 72 apples represent 12% of the total number of apples they put up for sale.
To find out the total number of apples the orchard put up for sale,
use a simple equation.
Let's denote the total number of apples as "x".
According to the given information,
72 apples represent 12% of the total number of apples.
Set up the equation as follows:
12% of x = 72
To solve for x, convert the percentage to a decimal.
12% is equivalent to 0.12.
0.12 x = 72
Now, solve for x by dividing both sides of the equation by 0.12:
x = 72 / 0.12
x = 600
Hence,
The total number of apples they put up for sale is 600.
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If PQRS is a parallelogram, what is the value of y
S11R13P11
A. 44
B. 60
C. 52
D. 26
E. 48
F. Cannot be determined
HELLPPPPPP
Answer:
C.52
Step-by-step explanation:
In a parallelograms opposite sides are congruent
This means that side SP = side RQ as they are opposites
Hence 1/4y = 13
Note that we've just created an equation that we can use to solve for y.
We now solve for y algebraically using the equation we've just created
1/4y = 13
Divide both sides by 1/4
1/4y / 1/4 = y
13 / 1/4 = 52
We're left with y = 52
If PQRS is a parallelogram, the value of y in the parallelogram PQRS is 52. Therefore, option C, 52, is the correct answer.
To find the value of y in the parallelogram PQRS, we can use the properties of parallelograms.
In a parallelogram, opposite sides are equal in length. Therefore, PQ is equal to RS, and QR is equal to SP.
Given that PQ = 11 and RS = 11, we can conclude that QR = SP.
Substituting the given values, we have:
1/4 y = 13
To isolate y, we multiply both sides of the equation by 4:
4 * (1/4 y) = 4 * 13
This simplifies to:
y = 52
Using the property of a parallelogram where opposite sides are equal, we determine that QR is equal to SP. Substituting the given values, we find that 1/4 y is equal to 13. By multiplying both sides of the equation by 4, we isolate y and find that its value is 52.
Therefore, option C, 52, is the correct answer.
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help help help help it is little simple
3x ² - 2x + 1 = 2x ² - 3x + 7
x ² + x - 6 = 0
(x + 3) (x - 2) = 0
x + 3 = 0 or x - 2 = 0
x = -3 or x = 2
the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function
which of the following is the x-coordinate of the solution to the system shown below
2x + y = 17
x - y = 4
———————————————
(1) x = 5
(2) x = 2
(3) x = 7
(4) x = 12
thank you in advance to ANYONE who answers this question:)))
Answer:
Step-by-step explanation:
USE THE COORDINATES(2,-5)(0,3) OF THE LABELED POINT TO FIND THE POINT-SLOPE EQUATION OF THE LINE
A. Y-2=-4(X+5)
B. Y+5=4(X-2)
C. Y+5=-4(X-2)
D. Y-2=1/4(X-5)
Answer: B
Step-by-step explanation: Y+5=4(X-2) in slope-intercept form is Y=-4X+3
Someone please help me out!! I’m struggling
Answer:
This is called "completing the square"
It is a technique to solve a quadratic equation. It involves "moving all
of the constants to the right" , then doing a "move" on the left hand side. This move "creates a perfect square".. This is done by taking 1/f of the "B" term and squaring it... this will "un-balance" the sides of the equation... to balance it out you have to "add" some stuff to the right hand side... when done the left side will be "a perfect square" .. last step will be take the square root of both sides.
Step-by-step explanation:
[tex]x^2 + 12x + 15 = 0[/tex]
[tex]x^2 + 12x + 15 -15 = -15[/tex]
[tex]x^2 + 12x = -15[/tex]
[tex]b = 12 ... (1/2 b)^2 = 6^2 = 36[/tex]
[tex]x^2 + 12x + 36 = -15 + 36[/tex]
[tex]x^2 + 12x + 36 = 21[/tex]
[tex](x+ 6)^2 = 21[/tex]
[tex]\sqrt{(x+ 6)^2 } =[/tex] ± [tex]\sqrt{21}[/tex]
[tex]x+ 6[/tex]= ± [tex]\sqrt{21}[/tex]
x = -6 ±[tex]\sqrt{21}[/tex]
Answer:
Step 1: -15
Step 2: b = 12, c = 36
Step 3-4: x² + 12x + 36 = -15 + 36, which simples to (x + 6)² = 21
If there is a step that has you solve for x, it should be -6 + √21 or -6 - √21.
Step-by-step explanation:
Step 1 is pretty simple. All we have to do is subtract 15 from 0 to get the first blank.
x² + 12x = 0 - 15
x² + 12x = -15
Step 2:
b is the coefficient on x, which is 12.
Then, use the formula mentioned:
[tex]c = ( \frac{b}{2})^{2} \\ c = ( \frac{12}{2} )^{2} \\ c ={6}^{2} \\ c = 36[/tex]
As a result of that, c is 36.
Now to substitute and simplify. (Steps 3-4)
x² + 12x + 36 = -15 + 36
To factor an equation, think about it like this: Find two numbers that add to the coefficient of x, and multiply to the constant. So what two numbers add to 12, and multiply to 36? That would be 6 & 6 (6 + 6 = 12; 6 × 6 = 36).
(x + 6)² = -15 + 36
Add 36 to -15 to get 21.
(x + 6)² = 21
That should solve steps 1-4, but I will go on ahead and give the final answer to the entire problem.
(x + 6)² = 21
Yes, you are about see what I just factored be expanded back over again. It's part of the process.
x² + 12x + 36 = 21
Now subtract 21 from both sides.
x² + 12x + 36 - 21 = 21 - 21
x² + 12x + 15 = 0
Now onto the hard part of this: the quadratic formula. a = (the understood) 1, b = 12, and c = 15.
x = (-b ± √b² - 4ac)/2a
x = -12 ± √12² - 4(15)/2
x = -12 ± √144 - 60/2
x = -12 ± ✓84/2
x = -6 + √21 or -6 - √21
I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!
Answer:
(x-3)^2+(y-16)^2=9
Step-by-step explanation:
Answer:
The answer is 9
Step-by-step explanation:
(x-3)^2+(y-16)^2=9
Hope this helps :)
HELP ASAP
The graph shows a function of the form f(1) = ax + b.
Use the drop-down menus to complete the statements about the function, and then
write an equation that represents this function
Answer:
When x = 0, the value of f(x) is -3
Each time x increases by 1, f(x) increases by 2
f(x) = 2x - 3
Step-by-step explanation:
✔️From the graph given, values of x is plotted in the horizontal axis while values of f(x) is plotted on the vertical axis.
Thus:
When x = 0, the value of f(x) is -3. => (0, -3)
✔️Each time x increases by 1, f(x) increases by 2. i.e. when x increases from 3 to 4 on the y axis, f(x) increases from 3 to 5 on the why axis.
✔️The equation that models the function can he written in the form of f(x) = ax + b, where:
a = rate of change = rise/run
b = y-intercept = the point on the y-axis that the line intercepts.
Rate of change between the two points on the line (0, -3) and (4, 5):
Rate of change (a) = rise/run = (5 - (-3))/(4 - 0) = 8/4
a = 2
b = y-intercept = -3
✅To write the equation, substitute a = 2 and b = -3 into f(x) = ax + b:
f(x) = 2x + (-3)
f(x) = 2x - 3
A knight traveled on his horse from one kingdom to another for 2 days. The first day he rode at a speed of 20 mph, and the second day he rode at a speed of 30 mph. If he traveled exactly the same amount of time each day and went 800 miles, find how many hours it took the knight to travel from one kingdom to another.
Answer:
Step-by-step explanation:
That was some horse.
20*t + 30*t = 800 Each day he rode the same amount of time (t). On the first day, he rode a distance of 20*t. On the second day, he rode a distance of 30*t
50t = 800
t = 800/50
t = 16
Each day he rode 16 hours
Total time = 32 hours.
Answer:
32 hours
Step-by-step explanation:
Decrease £180 by 12.5%
Answer:
£ 157.5
Step-by-step explanation:
12.5 × 180 = 22.5
100
180 - 22.5 = 157.5
I hope this helps.
1. The maximum value of Sin A and Cos A is:
the probability of pulling a red marble out of bag of colored marbles is 3:7.if you were to pull color marbles out of the bag (one at a time,and putting the the marble back each time)Ford Five Hundred tribes approximately how many times would you select a red marble
Question isn't well formatted ;
If the question meant that choosing a marble for five hundred times ; then the calculation is stated below:
Answer:
214
Step-by-step explanation:
Given that :
Probability of picking a red out of a bag of colored marble = 3 : 7 ; that is 3 / 7
P(red) = 3 / 7
If the number of picks (with replacement) = 500
Then, the approximate number of red marbles chosen will be :
P(red) * number of picks
3/7 * 500 = 214.285
Approximate Number of red marbles chosen = 214
Y= 2- 1/5-3x hihihhhhhhhh
If f(x) = 3x - 2 and g(x) = x2 +1, find (f +g)(x).
A. 2x+3
B. x+3x+1
C. 4X2-1
O D. x2 + 3x - 1
Answer:
D
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 3x - 2 + x² + 1 ← collect like terms
= x² + 3x - 1 → D
The combination function (f+g)(x) is x²+3x-2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=3x-2 and g(x)=x²+1.
Here, (f+g)(x)=f(x)+g(x)
= (3x-2)+x²+1
= x²+3x-2
Therefore, the combination function (f+g)(x) is x²+3x-2.
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what inequalities is represented by this graph?
Answer:
[tex]\sf [0,∞)[/tex] is the inequality.
Step-by-step explanation:
This is the inequality represented by this graph. The main reason is this inequality contains zero to infinity.
Answer:
[tex]\sf{[0,\infty) }[/tex]
Step-by-step explanation:
x>0this inequality contains zero to infinity
Can someone help me I need it.
Answer:
C is the answer 3rd one...
The sum of a number and 3 is greater than 10
x < 7
x > 7
x < 13
x > 13
Answer:
x > 7
Step-by-step explanation:
Let x be the unknown number
x+3 > 10
Subtract 3 from each side
x+3-3 > 10-3
x > 7
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{\underline{The sum of a number and 3 is greater than 10.}}[/tex]
[tex]\large\textsf{Well, the word sum simply means add. The word number}\\\large\textsf{ is unknown so we will label it as x.}[/tex]
[tex]\large\textsf{We will make this your equation: x + 3 } \mathsf{ > } \large\textsf{ 10}[/tex]
[tex]\large\textsf{Now lets solve for your answer.}\downarrow[/tex]
[tex]\large\textsf{x + 3 }\mathsf{>}\large\textsf{ 10}[/tex]
[tex]\large\textsf{SUBTRACT 3 to BOTH SIDES}[/tex]
[tex]\large\textsf{x + 3 - 3 } \mathsf{>} \large\textsf{ 10 - 3}[/tex]
[tex]\large\textsf{CANCEL out: 3 - 3 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 10 - 3 because that helps what is being compared to the x-value}[/tex]
[tex]\large\textsf{x } \mathsf{>} \large\textsf{ 10 - 3}[/tex]
[tex]\large\textsf{10 - 3 = \bf 7}[/tex]
[tex]\large\textsf{\bf x } \mathsf{\bf >\ } \large\textsf{ \bf 7}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: \bf x}>\textsf{\bf 7}\huge\textsf{ (Option B.)}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
PQRS is a rectangle with an area of 3 5cm 2 . Given Y = 12-X. show that x - 12x + 35=0
Step-by-step explanation:
Given that,
The area of a rectangle, A = 35 cm²
Let x is the length.
Width, Y = 12-x
We know that,
The area of a rectangle is given by :
[tex]A=lb[/tex]
[tex]x(12-x)=35\\\\12x-x^2=35\\\\-x^2+12x-35=0\\\\or\\\\x^2-12x+35=0[/tex]
Hence, [tex]x^2-12x+35=0[/tex].
There are 8 red, 5 blue, and 2 green marbles in a hat. Without looking, what is the probability of picking a blue marble?
Answer:
1 / 3
Step-by-step explanation:
Probability can be represented as the amount of desirable outcomes divided by the total number of outcomes.
Because there are 8 + 5 + 2 marbles or 15, it would the total number of outcomes.
The desirable outcomes can be represented as blue marbles, which there are 5 of.
Using this and the formula above, the probability for picking a blue marble is 5 / 15 which simplifies to 1 / 3.
What is the inverse of the function y=-8x+15?
Answer:
y = (x-15)/-8
Step-by-step explanation:
When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.
y = -8x + 15
x = -8y + 15
x-15 = -8y
(x-15)/-8 = y
Step-by-step explanation:
Hey there!
Given function is: y = -8x + 15
~ Interchange"X" and "y".
x = -8y + 15
~ Solve it
8y = 15-x
y = (15-x)/8
Therefore, the inverse of function is y = (15-x)/8.
Hope it helps!
A cabinet maker used 2.8 gallons of varnish on 8 cabinet doors. At this rate, how many gallons of varnish are required for 60 cabinet doors?
Answer:
21
Step-by-step explanation:
2.8 for 8 means a ratio of
2.8/8
now we need to transform this ratio to show x/60.
for that we need to multiply the numerator and the denominator with the same factor.
which factor ?
well, the one turning 8 into 60.
so,
8×f = 60
f = 60/8 = 15/2 = 7.5
so,
x = 2.8 × 7.5 = 21
he will need 22 gains for 60 doors.
Given the slope of y+2=3(x-7) and a point on the line
Hi there!
»»————- ★ ————-««
I believe your answer is:
m = 3
(7, -2)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The equation given is in point-slope form.
⸻⸻⸻⸻
[tex]y - y_1 = m(x-x_1)\\\\m-\text{slope}\\\\(x_1,y_1)-\text{point}[/tex]
⸻⸻⸻⸻
The '3' is in the 'm' spot.
The y value is '-2', (y -(-2)) and the 'x' value is 7.
The point of the line is (7, -2) and the slope is 3.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
can someone please solve 3x^2+4x-7<13
Answer:
-10/3 < x < 2
so the answer is x<-10/3 or x>2
Step-by-step explanation:
:)
pls help simple measurement question
Answer:
<2 = 40
Step-by-step explanation:
Angles 2 and 3 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<2 =<3 = 40
Please help me with this question please help me rn
Answer:
Check the explanation for the answer please. Thank you!
Step-by-step explanation:
a. Nina is correct, because the formula P = 2l + 2w would be a correct perimeter formula. Alexander, however, is wrong, because the formula P = 2(l + w) would be an incorrect perimeter formula.
b. P = L + L + W + W would be another correct perimeter formula, as it is the same thing to P = 2l + 2w.
c. One reason the paint was empty after their calculations were correct would be because of their argument before determining the perimeter amount of paint that they need. Another reason the paint was empty after their calculations were correct was because of the fact that they probably don't know how to perfectly do the paint within the perimeter. [I might be wrong about this, but it should be an opinion question anyway.] DO NOT WRITE/TYPE THE PARENTHESIS INTO THIS PROBLEM!!!
Hope this helped!
Write the slope-intercept form of the equation of the line described. Through (-1,-1) parallel to y=6x-2
Answer:
[tex]\boxed {\boxed {\sf y= 6x+5}}[/tex]
Step-by-step explanation:
We are asked to find the slope-intercept equation of a line. Slope-intercept form is one way to write the equation of a line. It is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We are given a point (-1, -1) and the line is parallel to the line y= 6x-2. Since the line is parallel to the other line, they have the same slope, which is 6. We have a point and a slope, so we should use the point-slope formula to find the equation of the line.
[tex]y-y_1= m (x-x_1)[/tex]
Here, m is the slope and (x₁, y₁) is the point. We know the slope is 6 and the point is (-1, -1). Therefore:
m= 6x₁= -1y₁= -1Substitute the values into the formula.
[tex]y- -1 = 6(x- -1) \\y+1= 6(x+1)[/tex]
Distribute the 6. Multiply each value inside the parentheses by 6.
[tex]y+1 = (6*x)+ (6*1) \\y+1= 6x+6[/tex]
Slope-intercept form requires y to be isolated. 1 is being added to y. The inverse of addition is subtraction. Subtract 1 from both sides.
[tex]y+1-1=6x+6-1 \\y= 6x+5[/tex]
The equation of the line in slope-intercept form is y=6x+5
How would I do the last question if the equation of the graph has been given? Could you please explain the last problem step by step if possible?
======================================================
Explanation:
Replace every copy of "w" with "x"
So the function we graph is y = (1500-2x)*x/2
I used GeoGebra to make the graph below. Note the scale on the xy axis. In this case, x is incrementing by 100 while y is incrementing by 50,000. The scale is important so you have a good viewing window. You don't have to have this scale exactly, but something close to it should do the trick. Without the proper scale, you probably won't see the curve at all. You may see a straight line instead, or it may appear completely blank.
You can use Desmos to make the graph. Just keep in mind the scale of course.
Once you have the graph set up, use the max feature of your graphing calculator or graphing software to locate the vertex point. In GeoGebra, the function I used is "Max". I typed in Max(f, 0, 800) where f is the function mentioned earlier. With Desmos, you simply need to click on the curve itself to have the max point show up. Click on the vertex point to have the coordinates listed.
The max point is located at A = (375, 140625) as shown in the diagram below. The x coordinate is the value of "w" that we replaced earlier. So a width of w = 375 feet corresponds to the max area of 140625 square feet.
Side note: later on in your math career, you have the option to use calculus to solve a problem like this. Though for now, we can rely on a graphing calculator to get the job done quickly.
x + a = 10 . Find the vale of x if a = 10.
Answer:
x = 0
Step-by-step explanation:
a = 10
=> x + a = 10
=> x + 10 = 10
=> x = 10 - 10
=> x = 0
