Answer:
+- square root of x+36
Step-by-step explanation:
f(x) = x^2 -36
y = x^2 -36
Exchange x and y
x = y^2 -36
Solve for y
Add 36 to each side
x+36 = y^2 -36+36
x+36 = y^2
Take the square root of each side
±sqrt(x+36) = y
±sqrt(x+36) = f^-1(x)
PLEASE HELP ASAP.
Which graph has a correlation coefficient between the variables closest to 0?
Find the difference 28y-16y
Answer:
12y
Step-by-step explanation:
28y - 16y
Factor out a y
y(28-16)
y(12)
The difference is 12y
jim works h hours in a week. to find his weekly pay he multiplies his hours by his pay of $10 per hour and adds $50 for his sales bonus. he's decided that he wanted to take one-tenth of his weekly pay and place it in his savings. Which simplified expression represents the amount that will go into his savings each week?
Answer:
Step-by-step explanation:
Take home pay = 10*h + 50 I assume the 50 is a flat rate.
Savings = 1/10 of the take home pay.
Savings = (10*h + 50)/10
A shirt originally cost $50.97, but it is on sale for $40.78. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.
Answer:
20% decrease.
Step-by-step explanation:
difference over original
50.97-40.78= 10.19
diff/orig=sales tax
10.19 / 50.97= 19.99..
19.99 is approximately 20.
what is the equation of (4,10),(6,11) in standard form?
ANSWER
The standard form is:
[tex]x - 2y = - 16[/tex]
EXPLANATION
The given line passes through (4,10)and (6,11).
The slope of this line is
[tex]m = \frac{11 - 10}{6 - 4} [/tex]
[tex]m = \frac{1}{2} [/tex]
The equation is given by the formula,
[tex]y-y_1=m(x-x_1)[/tex]
We plug in the first point and the slope to get.
[tex]y-10= \frac{1}{2} (x-4)[/tex]
[tex]2y - 20 = x - 4[/tex]
[tex]x - 2y = - 20 + 4[/tex]
[tex]x - 2y = - 16[/tex]
The standard form is
[tex]x - 2y = - 16[/tex]
Write two fractions with different denominators whose LCD is 45
Answer:
2/5 and 8/9 (answers can vary)
Step-by-step explanation:
The lcm of 5 and 9 is 45 so that works for our denominators.
So 2/5 and 8/9 (the answers are many)
Answer:
1/45 and 8/90
Step-by-step explanation:
Between these two fractions, the lowest shared denominator is 45.
Using the diagram on the right, find the length of GT and TA.
Answer:
[tex]GT=10\ units[/tex] and [tex]TA=6\ units[/tex]
Step-by-step explanation:
we know that
In the diagram
Triangles GRT and GEA are similar by AA Similarity Postulate
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
[tex]\frac{GR}{GE}=\frac{GT}{GA}[/tex]
we have
[tex]GR=5\ units[/tex]
[tex]GE=5+3=8\ units[/tex]
[tex]GT=16-x\ units[/tex]
[tex]GA=16\ units[/tex]
substitute
[tex]\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units[/tex]
therefore
[tex]GT=16-x=16-6=10\ units[/tex]
[tex]TA=x=6\ units[/tex]
Which of the following is not a real number?
Answer:
D
Step-by-step explanation:
by definition, the square root of an negative number is known as an imaginary number. i.e Not a real number
[tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex][tex]\sqrt{-1}[/tex] = [tex]\sqrt{2}[/tex]i (imaginary number)
The [tex]\sqrt{-2}[/tex] is not a real number.
The following information should be considered with respect to the real number:
The numbers should be found in the number line. It should be in fractions, whole, naturals, rational, irrational. But it can't be in imaginary numbers.Therefore, the first three options are considered to be the real number.
Thus we can conclude that the [tex]\sqrt{-2}[/tex] is not a real number.
Learn more: brainly.com/question/17429689
A person alive for x 3(2x-3)+4(2-x)=0 ..
A. 1/2
B. 17/10
C. -17/2
What are the possible steps involved in solving the equation shown? Check all that apply.
3.5 + 1.2(6.3 – 7x) = 9.38
Add 3.5 and 1.2.
Distribute 1.2 to 6.3 and –7x .
Combine 6.3 and –7x .
Combine 3.5 and 7.56.
Subtract 11.06 from both sides.
Divide both sides by 9.38.
Answer:
B) Distribute 1.2 to 6.3 and –7x
D) Combine 3.5 and 7.56
E) Subtract 11.06 from both sides
Answer:
b, d, and e :)
What is the simplest form of this expression?
2x(x2 – 3) – 6x2
Answer:
-6x - 6x² + 2x³
Step-by-step explanation:
Match each like-term to end up with the above answer.
I hope this helps.
What is the equation of the line that passes through (7,4) and (4,-2)?
O y= 2x - 10
O y=-2x - 10
O y=-2x + 18
y= 2x + 18
Answer:
y = 2x - 10
Step-by-step explanation:
First, we find the slope.
m = slope = (y2 - y1)/(x2 - x1) = (-2 - 4)/(4 - 7) = -6/(-3) = 2
Now we use the slope in the slope-intercept form of the equation of a line.
y = mx + b
y = 2x + b
We use the coordinates of one of the given points for x and y, and we solve for b. Let's use the point (7, 4), so we have x = 7 and y = 4.
4 = 2(7) + b
4 = 14 + b
Subtract 14 from both sides.
-10 = b
Now we replace b with -10.
y = 2x - 10
Answer: y = 2x - 10
The figure shows a parallelogram inside a rectangle outline:
What is the area of the parallelogram?
A) 1/25 square feet
B) 11/25 square feet
C) 3/25 square feet
D) 4/25 square feet
A = base x height
A = (3/5 - 1/5) x 2/5
A = 2/5 x 2/5
A = (2/5)²
A = 2²/5²
A = 4/25
The answer is D) 4/25 square feet.
Johnny has 19 bottles of dish soap and he gives Jeina 5. How much dish soaps will he have now?
Answer:
14 dish soaps
Step-by-step explanation:
Johnny has 19 bottles of dish soap and he gives 5 to Jeina
19 - 5 = 14
Answer:
14
Step-by-step explanation:
Johnny has 19 bottles of dish soap and he gives 5 to Jeina
19 - 5 = 14
there was a total of 750 and 2015 crickets in a pond, the population increased by 17% the next year. The year after that the population decreased by 10%. what is the percent of change of population from the 2015 to 2017?
Answer:
5.2% increase
Step-by-step explanation:
In 2015 the total population was 750.
In 2016 the total population was 17% more than in 2015, so 750 x 1.17 = 877.
In 2017 the total population was 10% less than in 2016, so 877 x 0.9 = 789.
Compared to 2015, the population in 2017 was 789/750 = 1.052 or 5.2% greater.
In one step:
((750 x 1.17) x 0.9) / 750 = 5.2%
In this question, we're going to need to find the population in 2017, while using the given information.
Answer: 5.3% increaseLets gather the information we should know from the question.
Key information:
2015 -- Population of 750
Increased by 17% in the next year
Decreased by 10% the next year
With the information above, we can solve the problem.
We know that our starting population for crickets is 750, and it increases by 17% for the next year (2016), so we would multiply 750 by 1.17
[tex]750*1.17=877.5[/tex]
Our population in 2016 is 877.5.
Now, we know that he population in 2016 decreased by 10% going into 2017. We would need to find how much of 877.5 is 10%, and then subtract.
[tex]877.5*.10=87.75\\\\877.5-87.75=789.75[/tex]
When you're done solving, you should get 789.75
This means that the population of crickets in 2017 is 789.75.
Now, we know that we started with 750 crickets, now we have 789.5 crickets.
We would divide 789.5 by 750.
[tex]789.5\div750=1.053[/tex]
We would move the decimal place two times to the right, giving us 5.3.
This means that the population increased by 5.3% from 2015 to 2017.
I hope this helps!Best regards, MasterInvestor.15 points
Line AB←→ passes through the points A(3,−1) and B(1,7).
Which lines are parallel to AB←→?
THIS IS MULTIPLE CHOICES
y=−4x
y=−4x+8
y=4x
y−1=2(x+2)
y+1=−4(x+1)
y=4x+7
y=2x−3
y−6=−4(x−3)
Lines that are parrellell presume to have the same slope.
So if we just calculate the slope of a function or a line we should be good.
[tex]s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Now put in the data from the coordinates of the points [tex]A(3,-1)\wedge B(1,7)[/tex]
[tex]s=\dfrac{7-(-1)}{1-3}=\dfrac{8}{-2}=\underline{-4}[/tex]
The form of a function now looks like: [tex]
f(x)\vee y=-4x+n[/tex]
From here we are no longer required to calculate anything more. Leave n alone.
The solutions are the equations of the form above.
That would mean:
[tex]
y=-4x \\
y=-4x+8 \\
y+1=-4(x+1) \\
y-6=-4(x-3)
[/tex]
Hope this helps.
Identify the vertex of the graph Tell whether it is a minimum or a maximum
Answer:
(1,2) maximum
Step-by-step explanation:
The vertex is the the point on the graph where the graph does a "u-turn".
this point can either represent the maximum value or the minimum value depending on which way the graph is facing.
In this case, the graph looks like an "n" (as opposed to a "u").
We can clearly see that the point where the graph makes a U-turn is (1, 2)
we can also see that no part of the graph extends above this point, hence this point represents the maximum value which y could possibly be.
Hence (1,2) is maximum
An international equity mutual funds includes, american stock ,japanese stock,german. Stock , british stock in the ratio of 27:19:14:11 respectively. If its current holdings of german stocks are valued at us$238 millions what are the values of its holdings in the securities of other 3 countries
Give me BRAINLIEST please
let's say the total holdings for the company, or namely the total quantity for the ratios is say hmmm "x", and we were to split "x" in quantities of 27:19:14:11 ratio, what we do is, we simply divide "x" by (27+19+14+11), and then distribute accordingly.
so, if we divide the total amount like that, we end up with fragments of the total, and each ratio gets so many fragments.
so, we know the German stock or that ratio gets $238 millions, and in those 238, since it's on a 14 ratio, there are 14 of those fragments of the total, how much is a fragment anyway? well, simply how many times does 14 go into 238? 238 ÷ 14 = 17.
well, since we know the whole total of the holdings was split in fragments of 17, let's simply distribute accordingly.
[tex]\bf \stackrel{American}{27(17)}~~:~~\stackrel{Japanese}{19(17)}~~:~~\stackrel{German}{14(17)}~~:~~\stackrel{British}{11(17)} \\\\\\ \stackrel{American}{459}~~:~~\stackrel{Japanese}{323}~~:~~\stackrel{German}{238}~~:~~\stackrel{British}{187}\qquad \textit{in millions}[/tex]
What number line represents the solution set for the inequality -1/2 greater
than or equal to 4
Answer:
[8, inifinity sign)
Step-by-step explanation:
(2)/1 x -1/2 (greater than or equal to sign) 4(2), You need to get rid of the fraction so times 2 on both sides.
So the fraction cancels out and your answer is x (greater than or equal to) 8
The open side of the sign always is facing the bigger number so like this > so x is positive.
Since i can't show the number line i'll try to explain it if it's a greater than sign its a closed dot on the 8 going right. The 8 is in a bracket and the infinity is with a parenthesis. like this [8, infinity sign)
My teacher may have taught me different but it should be about the same.
Hope my answer has helped you and if not i'm sorry.
which of the following statements best describes midpoint of a line segment? 1. point at end of line segments 2. a point halfway between the endpoints of a line segments 3. it its any point on a line segments 4. it is the x-coordinate of any point on a line segment.
The answer is:
2. A point halfway between the endpoints of a line segment.
Why?The midpoint of a line segment, is a point that divides the line segment into two equal length sides, no matter the length of the segment, the midpoint will always cut the segment into two equal length sides
The midpoint is an ordinary point located in the middle of the line segment. The x-coordinate of the midpoint is halfway between the x-coordinates of the beginning and the end of the segment. The y-coordinate of the midpoint is halfway between the y-coordinates of the beginning and the end of the segment.
Hence, the correct option is:
2. A point halfway between the endpoints of a line segment.
Have a nice day!
Midpoint refers to point in the mid. The midpoint of a line segment is given as: Option 2: A point halfway between the endpoints of a line segment.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
If you walk halfway between the endpoints of a line segment, you'll reach to its mid, and thus, the midpoint of a line segment can be reached by walking halfway between its end points.
Thus,
The midpoint of a line segment is given as: Option 2: A point halfway between the endpoints of a line segment.
Learn more about midpoint of line segment here:
https://brainly.com/question/18315903
Which equation represent the line that is perpendicular to the line 5x-2y=-6 and passed through the point (5,-4)?
To find the equation of a line perpendicular to 5x - 2y = -6 and passing through (5, -4), first determine the slope of the given line and then find the negative reciprocal of that slope. Using point-slope form with the new slope and the given point, the equation is y = - (2/5)x - 2.
To find the equation of the line that is perpendicular to the given line 5x - 2y = -6 and passes through the point (5, -4), follow these steps:
Step 1: Find the slope of the given line
Rewrite the given line in slope-intercept form (y = mx + b):
5x - 2y = -6
-2y = -5x - 6
y = (5/2)x + 3
The slope (m) of the given line is 5/2.
Step 2: Find the slope of the perpendicular line
The slope of the line perpendicular to another is the negative reciprocal. Thus, the slope of the perpendicular line is -2/5.
Step 3: Use the point-slope form
Using the point (5, -4) and the slope -2/5 in the point-slope form (y - y1 = m(x - x1)):
y - (-4) = - (2/5)(x - 5)
y + 4 = - (2/5)x + 2
y = - (2/5)x - 2
Therefore, the equation of the line that is perpendicular to 5x - 2y = -6 and passes through the point (5, -4) is y = - (2/5)x - 2.
Use the diagram below to solve for x and y.
Answer:
Option A. x=30,y=42
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles ABC and ZYX have three congruent interior angles
therefore
Triangles are similar
step 1
Find the value of x
[tex]\frac{ZY}{AB}=\frac{ZX}{AC}[/tex]
substitute the values
[tex]\frac{20}{x}=\frac{12}{18}[/tex]
[tex]x=20*18/12=30\ units[/tex]
step 2
Find the value of y
[tex]\frac{ZY}{AB}=\frac{XY}{CB}[/tex]
substitute the values
[tex]\frac{20}{30}=\frac{28}{y}[/tex]
[tex]y=30*28/20=42\ units[/tex]
Which graph shows the solution to the system of linear inequalities below? Y>-2x+2 Y<2x-1
Answer:
That would be B. Graph A.
Step-by-step explanation:
The graph y < 2x - 1 is a dotted line which rises to the right with a slope of 2 and passes through y = -1 and is shaded below the line. The graph y > -2 x + 2 rises to the left and passes through y = 2 and is shaded above the line.
What is the area of a circle with a radius of 8 inches? Use = 3.14
Answer:
200.96 inch²
Step-by-step explanation:
formula for a circle: (pi) x r²
pi= 3.14
3.14 x 8²
=200.96 inch²
For this case we have by definition, that the area of a circle is given by:
[tex]A = \pi * r ^ 2[/tex]
Where:
A: It is the radius of the circle
They tell us as data that the radius is 8 inches.
Substituting we have:
[tex]A = \pi * (8) ^ 2\\A = \pi * 64\\A = (3.14) (64)\\A = 200.96[/tex]
Thus, the area of the circle is [tex]200.96 \ in ^ 2[/tex]
Answer:
[tex]200.96 \ in ^ 2[/tex]
the length and width of a rectangle are consecutive even integers. the area of the rectangle is 8 square units. what are the length and width of the rectangle?
Answer: 4 feet and 2 feet
Step-by-step explanation: The only factor of 8 that is an even integer is 4 and 2. So the answer is 4 feet and 2 feet.
If 20% of a number is 12, what is 30% of the same number?
Answer:
The answer would be 18.
Step-by-step explanation
If 20% of a number is 12, then 30% of that same number would be 18. This means that the number would be 60 (6×2=12, 6×3=18). Hope this helps you to understand your math problem better!
PLEASE HELP K12
WILL MARK BRAINLYIST
What is the Length of the line segment with endpoints (12, 6 ) and (12, -9 )
Answer:
15Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points (12, 6) and (12, -9). Substitute:
[tex]d=\sqrt{(12-12)^2+(-9-6)^2}=\sqrt{0^2+(-15)^2}=\sqrt{225}=15[/tex]
[tex]\text{Hey there!}[/tex]
[tex]\text{The formula is:}\bf{\frac{y_2-y_1}{x_2-x_1}}[/tex] [tex]\text{ or you can say}\rightarrow[/tex] [tex]\frac{Rise}{Run}[/tex]
[tex]\text{y}_2=-9\\\\\text{y}_1=6\\\\\text{x}_2=12\\\\\text{x}_1=12[/tex]
[tex]\text{Now, that we know what our points are we could solve this equation}[/tex]
[tex]\frac{-9-6}{12-12}[/tex]
[tex]\text{-9 - 6 = -15}[/tex]
[tex]\text{12 - 12 = 0}[/tex]
[tex]\bf{= \ \frac{-15}{0}}[/tex]
[tex]\boxed{\boxed{\bf{Answer: \ \frac{-15}{0}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
56 coins = $9.80. how many are quarters how many are nickels
Answer:
So there are 35 quarters and 21 nickels.
Step-by-step explanation:
So I guess that is all we have is quarters and nickels.
Quarters are worth .25
Nickels are worth .05
Let x represent the number of quarters
Let y represent the number of nickels
x+y=56
.25x+.05y=9.8
We are going to solve this system.
I'm going to use substitution. I will solve the first equation for y and then plug that into the second equation.
y=56-x
.25x+.05(56-x)=9.8
.25x+2.8-.05x=9.8
.20x+2.8=9.8
.2x = 7
x=7/(.2) or 7*5=35
y=56-x
y=56-35=21
So there are 35 quarters and 21 nickels.
Answer:
A) n + q = 56
B) .05n + .25q = 9.80
We multiply A) by -.25
A) -.25n -.25q = -14 then add it to equation B)
B) .05n + .25q = 9.80
-.2n = -4.20
nickels = 4.20 / .20 = 21
quarters = 35
Step-by-step explanation:
What is the slope of the line that passes through the points (3, 1) and (8,3)
Please help I need this before it hits 12
Answer:
2/5
Step-by-step explanation:
Rise over run
Difference of y over the difference in x
Answer:
The slope is 2/5
Step-by-step explanation:
The slope formula is delta y over delta x. If you insert the coordinates the equation is 1-3 / 3-8 = -2/-5 = 2/5. The slope is 2/5
What is the length of segment AB?
Consider the diagram.
7,9,18,25
Answer:
9
Step-by-step explanation:
It is congruent to the other side.