Answer:
–2x2 + 13
Step-by-step explanation:
( f o g)(x) = f (g(x))
= f (–x2 + 5)
= 2( ) + 3 ... setting up to insert the input formula
= 2(–x2 + 5) + 3
= –2x2 + 10 + 3
-6(y+15) = -3 + 6
What value of y makes the equation true?
Answer:
Step-by-step explanation:
y+15 = (-3)/(-6) + 6/(-6)
y+15 = 1/2 -1
y+15 = -1/2
y = -15.5
(Please answer both parts) Part A
Mary's house cost $500, 000 in the year 2010.
In 2020 she sold it for $900, 000.
Was the change in price an increase or decrease?
Answer:
Part B
What was the percent of change in the price of the house?
Answer:
Answer:
Part A: It was an increase.
Part B:80%
Step-by-step explanation:
First, state the info of the problem
Cost Price(CP):$500,000
Selling Price(SP):$900,000
Part A Solution
The SP is higher than the CP so there is a price increase
$900,000>$500,000
Part B Solution
Find price change
Price change equals SP-CP
$900,000-$500,000 equal to $400,000
State CP percent so it will later help in finding percent of price change
CP percent:100%(basic percent for the original cost of item,CP percent is basically 100%)
Cross multiply by comparing amount with percent
So if $500,000 equals 100%
∴$400,000 equals ?(can be represented by variable "x")
Cross-multiplying, we get
$500,000x equals 100%×$400,000(dividing both sides by $500,000)
x equals (400/5)% which further equals 80%
∴The percent of change for the house price was 80%
To confirm
If there was a price increase(Profit),the SP equals CP plus P
SP equals 100% plus 80%:180% ∴SP equals 180%
If 100% equals $500,000
∴180% equals x which is $900,000 after cross-multiplying.
Hope all confusion is now cleared.
What are the three steps to solve a quadratic equation?
Answer:
factoring, using the quadratic formula, and completing the square.
Step-by-step explanation:
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x – 3, y + 5)
Step-by-step explanation:
If you move up or down, it affects the y coordinate and going up is positive so 5 units up is y + 5 and if moving left or right affects the x coordinate and moving left is negative so x - 3
"5 units up" would be "5 added to the current y-value".
"3 units to the left" would be "3 subtracted from the current x-value".
So, the translation rule is: (x, y) → (x – 3, y + 5)
~Lenvy~
A fireplace arch is to be constructed in the form of a semi ellipse. The opening is to have the height of 1 foot at the center and a width of 6 feet along the base. The contractor cuts a string of a certain length and nails each end of the string at the foci of the base in order to sketch the outline of the semi ellipse. What is the total length of the string?
Answer:
6 feet.
Step-by-step explanation:
Remember that the foci of the semi-ellipse are two points in the base of the semi-ellipse from where you can create the full perimeter of the semi-ellipse, basically form there you can sketch it. And the sum of both to the same spot in the perimeter always adds up to the same number.
To calculate it you just need to remember that the major axis is always equal to that rope that you use to draw the semi-ellipse and since the major axis is the same as the base the rope will be 6 feet.
What is a independent
Answer:
Yo
Free from outside control; not subject to another's authority.
Hope it helps you....
The result of RREF produced the following matrix. What is the solution of the
system? Choose the best answer.
1 0 3 0
0 1 0 5
0 0 0 1
The following RREF matrix has infinite many solutions.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the matrix, we can get the following equations:
x + 3z = 0 (1)
y = 5 (2)
And:
0(x) + (0)y + 0(z) = 1
0 ≠ 1 (3)
From equation 3, we can see that the following RREF matrix has infinite many solutions
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Given: △ABC, D ∈ ray BC
C ∈ BD, AB=AC=BC
Prove: BD>DA>AB
Answer:
BD>DA>AB
Step-by-step explanation:
Since ACB = 60, ACD = 120. Since ACD>ACB then DA is greater than AB. Then we can see that AC + DC has to be greater than DA because of triangle property theorem. That's the same as BC + CD by transitivity and BC + CD is BD by PWP. That means that BD > DA. Since we know that BD > DA, we can say, BD > DA > AB.
III
Test: Test 3
Determine whether the ordered pair (1,5) is a solution of the system.
3x - 5y = -22
2x + 4y = 18
Is (1,5) a solution of the given system?
No
Yes
Answer:
No
Step-by-step explanation:
The second equation is false
Sophie drove to the amusement park at a rate of 36 mph and arrived in 2.5 hours. How long will it take her to get home if Sophie drives 45 mph?
Answer:
Time= 2 Hours
Step-by-step explanation:
Using the formula attached we can first work out the distance from home to the amusement park. and then calculate the time it will take to get amusement park to home.
a) Distance= Speed x Time
= 90km
b) Time= Distance/speed
= 2 hours
Answer: 2 hrs
Step-by-step explanation: 36x2=72
1/2 of 36 is 18
72+18=90.
90mph/45 miles to cover = 2 hours.
ASAP.
A sphere has a radius of 15 inches. What is the volume of the sphere, in cubic inches? (Use 3.14 as an approximation of pi.)
Based on the calculations, the volume of this sphere is equal to 14,130 cubic inches.
Given the following data:
Radius of sphere = 15 inches.
[tex]\pi =3.14[/tex]
How to calculate the volume of a sphere.Mathematically, the volume of a sphere is given by this formula:
[tex]V=\frac{4}{3} \pi r^3[/tex]
Where:
V is the volume.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V=\frac{4}{3} \times 3.14 \times 15^3\\\\V=\frac{4}{3} \times 3.14 \times 3375\\\\V=\frac{42390}{3}[/tex]
V = 14,130 cubic inches.
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6
8
10
2
2
-
C D
3
a.
n = 30
x = 3
b.
3
W = -
4
C.
d.
12 = 1 -
3
ما | نا
Please select the best answer from the choices provided
Ο Α
ОВ
Step-by-step explanation:
please write clearly and row wise understand problem
Represent 3200 divided by 100 in three different ways and simplify.
The answer of 3200 divided by 100 by three different ways is 32.
What is simplification?
Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given division is, 3200 divided by 100.
Since we know that division can be represented in three different way that is,
a) Factoring
b) Long division
c) Synthetic division
So,
a) Factoring 3200 divided by 100 we get,
(2x2x2x2x2x2x2x5x5)/(2x2x5x5)
= 2x2x2x2x2
= 32
b) Long division 3200 divided by 100
32
100| 3200
- 300
200
- 200
000
So,Quotient is 32
remainder is 0.
c) Synthetic division 3200 divided by 100
Let x = 100
Therefore, 3200 = 32x
now to divide 32x/x syntehtic division is given as,
1 | 32
1
Hence 32x/x by synthetic division we get 32 R 0.
Therefore, the required answer is 32.
More about Division :
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8. Mr. Dietrich's class is 17/25 boys. What percentage of the class is boys? *
Answer:
68%
Step-by-step explanation:
Now we can see that our fraction is 68/100, which means that 17/25 as a percentage is 68%.
Answer:
68%
Step-by-step explanation:
17/25=x/100
100/25=4
17*4=68
Solve for x =2.4x + 3.4=15.4
Answer :
5Explanation :
[tex]\longrightarrow \qquad \sf{2.4x + 3.4=15.4}[/tex]
Subracting 3.4 from both sides we get :
[tex]{\longrightarrow \qquad \sf{2.4x + 3.4 - 3.4=15.4 - 3.4}}[/tex]
[tex]\longrightarrow \qquad \sf{2.4x =12}[/tex]
Dividing 2.4 from both sides we get :
[tex]\longrightarrow \qquad \sf{ \dfrac{2.4x}{2.4} = \dfrac{12}{2.4} }[/tex]
[tex]\longrightarrow \qquad \sf{ \dfrac{ \cancel{2.4} \: x}{ \cancel{2.4}} = 5 }[/tex]
[tex]\longrightarrow \qquad \bf{x = 5 } [/tex]
Therefore,
The value of x is 5.Answer:
x = 5
Step-by-step explanation:
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]2.4x\cdot \:10+3.4\cdot \:10=15.4\cdot \:10[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]24x+34=154[/tex]
[tex]\mathrm{Subtract\:}34\mathrm{\:from\:both\:sides}[/tex]
[tex]24x+34-34=154-34[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]24x=120[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}24[/tex]
[tex]\frac{24x}{24}=\frac{120}{24}[/tex]
x = 5
~Learn with Lenvy~
Factor completely 64x^2-1
Answer:
(8x-1)(8x+1)
Step-by-step explanation:
64x^2-1
(take the square roots of both sides)
(8x-1)(8x+1)
Determine the translation.
Use non-negative numbers.
A translation by
units to the
right/left
and
units up/down
HELP PLEASE!!!***
Answer:
(X+4,Y+2) Or 4 units to the right, 2 units up.
Step-by-step explanation:
Count the units, remember X axis always goes first
A bag contains four colors of marbles. The probability of randomly drawing out a red marble is 21%.
What is the probability of not drawing a red marble?
Enter the answer in the box.
Probability of not drawing a red marble = %
Answer:
hello
What is the probability of not drawing a red marble
= 1 - 0.21 = 0 .79
Step-by-step explanation:
REWRITE IN FUNCTION FORM
Solve the formula for the red variable.
2y+ 5x = 6
Evaluate the algebraic expression 4y + x - w, when w = 12, x = 10, y = 5 and z = 9.
Answer:
Step-by-step explanation:
4y+x-w
4(5)+10-12
20+10-12
30-12
=18
hope dis helps
Teacher Jonna received 8 1/2 reams of paper from the school administration for this school year. She still has 1 5/8 reams of paper left from last year. Yesterday she used 2 3/4 reams of paper to make copies of a science activity for her students.How many reams of paper does she have left?
Answer:
She should have 8 5/8 reams of paper left
Simplify
Write your answer using only positive exponets.
[tex]x {}^{n} .x {}^{m} = x {}^{n + m} [/tex]
Similarly:[tex]x { }^{ \frac{1}{2} } .x {}^{ \frac{ - 1}{6} } .x {}^{ \frac{ - 5}{2} } = x {}^{ \frac{1}{2} - \frac{1}{6} - \frac{5}{2} } [/tex]
We have to achieve a common denominator which is 6 here:[tex]x {}^{ \frac{3 - 1 - 15}{6} } =x {}^{ \frac{ - 13}{6} } [/tex]
To change our exponent to positive:
[tex]x {}^{ \frac{ - 13}{6} } = \frac{1}{x {}^{ \frac{13}{6}}} = \frac{1}{ \sqrt[6]{x {}^{13} } } = \frac{1}{x \sqrt[6]{x} } [/tex]
What is the sign of y.
0
Choose 1 answer:
Positive
Negative
Zero
Answer:
Negative.
Any negative number times a positive is always negative.
In an If condition, first an IF is required to test an initial expression. Optionally, we can also add additional ELIF statements to test additional expressions if the initial IF statement fails. Question: What statement can be used at the end of an IF condition to catch if all previous expressions fail
Answer:
The block of code inside the if statement is executed is the condition evaluates to true.
Step-by-step explanation:
Two lines have the same slope and y-intercept. Describe the graph of the system of equations representing the two lines.
Answer:
Parallel lines.
Step-by-step explanation:
If the two linear equations have the same slope (and the SAME y-intercept), the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions (intersecting everywhere.)
If two equations have the same slope and the same y-intercept, then they are the same line and an infinite solution .
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have three cases in terms of slope and intercept:
The system has precisely one solution if the slopes of the two lines differ (whether the lines have the same intercept or different intercepts).There exists an infinite number of solutions to the system if they share the same slope and intercept, making them the same line.If they are parallel and have different intercepts but the same slope, there is no solution.So, The identical numerical values used for x and y in the first solution will also work for the second because these lines have an infinite number of solutions.
Learn more about slope here:
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A paddle boat can move at a speed of 12 km/h in still water. The boat is paddled 8 km downstream in a river in the same time it takes to go 4 km upstream. What is the speed of the river?
The quadratic formula can be used to solve an equation only if the highest
degree in the equation is
Α. Ο
B. 3
C. 2
D. 1
Answer:
2
Step-by-step explanation:
Bill has a bag of 24 marbles. 6 are blue, 12 are red, 3 are black and 3
are green. What are the percentages of each colour?
Answer:
Blue: 25%
Red: 50%
Black: 12.5%
Green: 12.5%
Step-by-step explanation:
Blue: [tex]\frac{6}{24} = 0.25[/tex]
Red: [tex]\frac{12}{24} = 0.5[/tex]
Black: [tex]\frac{3}{24} = 0.125[/tex]
Green: [tex]\frac{3}{24} = 0.125[/tex]
what is Jenalle's position relative to sea level while on the boat? What should the altimeter read at this position?
Answer:
I think the altimeter read this position as 10.6 ft
hope it help you
Answer:
10.6
Step-by-step explanation:
An altimeter measures the altitude of an object above sea level.
And the picture shows that Jenalle's position is 10.6 ft above water.
So the altimeter would measure 10.6
Hope I helped :)
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Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
QUICKLY PLEASE
Answer:
x = 4
Step-by-step explanation:
y = - 2 is the equation of a horizontal line parallel to the x- axis.
A perpendicular line is therefore a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 2 ) with x- coordinate 4 , thus
x = 4 ← equation of perpendicular line