A commission of $3100 was earned on $62,000 at a commission rate of 5%.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that $62,000 is earned at a commission rate of 5%, hence:
Commission = 5% of 62000 = 0.05 * 62000 = $3100
A commission of $3100 was earned on $62,000 at a commission rate of 5%.
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Given g(x)=5x+4. Find the value of g(-4)
Answer:
-16
Step-by-step explanation
g(-4)=5(-4)+4
g(-4)= -20+4
g(-4)= -16
Answer:-16
Step-by-step explanation: Desmos
One number is 9 less than a second number. Their sum is -27. What is the first number?
Answer:
x= first number y= second
x=2y+9 and x+y=129, these are the equations...solving gives x=89,y=40
Step-by-step explanation:
Answer:
-18 and -9 is the answer
Help with this please
=========================================================
Explanation:
Let y = -3*f(-3) + 2*f(3)
The goal is to find the value of y as some single numeric value.
We know that f(x) is an odd function. This means that
f(-x) = -f(x)
For all x in the domain of f(x).
Based on that, we can say
f(-3) = -f(3)
and,
y = -3*f(-3) + 2f(3)
-1*y = -1*(-3*f(-3) + 2*f(3)) ... multiply both sides by -1
-y = 3*f(-3) - 2*f(3)
-y = 3*f(-3) + 2*(-f(3))
-y = 3*f(-3) + 2*f(-3)
-y = 3*7 + 2*7 .... f(-3) replaced with 7
-y = 21+14
-y = 35
y = -35
-----------------------------------------------------
Here's a slightly different approach
f(-3) = 7
-f(3) = 7
Since f(-3) = -f(3)
We can then transform -f(3) = 7 into f(3) = -7 after multiplying both sides by -1
Therefore,
y = -3*f(-3) + 2f(3)
y = -3*7 + 2(-7)
y = -21 - 14
y = -35
-----------------------------------------------------
There are probably other routes to solve this problem.
Whichever path you take, you should find that -3*f(-3) + 2f(3) = -35
Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
G(X) with the graph of F(x)?
O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.
B. The graph of G(x) is the graph of F(X) shifted 9 units down.
C. The graph of G(x) is the graph of F(x) shifted 9 units up.
D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.
Answer:
Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
G(X) with the graph of F(x)?
O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.
B. The graph of G(x) is the graph of F(X) shifted 9 units down.
C. The graph of G(x) is the graph of F(x) shifted 9 units up.
D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.
Step-by-step explanation:
Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
G(X) with the graph of F(x)?
O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.
B. The graph of G(x) is the graph of F(X) shifted 9 units down.
C. The graph of G(x) is the graph of F(x) shifted 9 units up.
D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.
Help me with this! Solve for x
Answer:
x=6
Step-by-step explanation:
Line ZW and YX are parallel, which means they have the same measurements.
Therefore:
3x+2=20
subtract two from both sides
3x=18
divide by 3
3x/3=18/3
x=6
hope this helps =D
1 Points
MULTIPLE CHOICE
Question 5
Suppose you are told that 1/2 = 3' on a scale drawing. If there is an object that
measures 5" in the drawing, what would its actual length be?
A
30
B В
4.5
32
D
7.5
Amy can buy an 5-pound bag of dog food for $7.40 or
a 4-pound bag of dog food for $5.48. Which is the
better buy?
Answer:
4-pound bag
Step-by-step explanation:
7.40/5 = 1.48
5.48/4 = 1.37
$1.37 is cheaper
salad dressing is made by mixing lemon juice and olive oul in the ratio 2:5 by volume. the cost of lemon juice is $13.50 per litre. the cost of olive oil is $18 per litre. work out the ratio cost of lemon juice in salad dressing : cost of olive oil in the salad dressing. give your ratio in the simplest form
Answer: $3 : $4 or 3 : 4
Step-by-step explanation: To find the ratio of the cost of lemon juice in salad dressing, you’ll have to replace $13.50 or 13.5 to (135/10), which doesn’t affect the solution. Next, simplify (135/10) to get 27/2. After, divide 27/2 by 18, which is the other part of the ratio. (27/2 ÷ 18) Your final answer or result should end up as 3/4 but since we’re dealing with fractions 3:4, which is the simplified form of $13.50 : $18.00.
If 1 foot is equal to 0.305 meters then how many feet are there in 8 meters
Answer:
2.438
Step-by-step explanation:
1=0.305m
x=8m
( do cross multiplication)
8=0.305x
x=2.438 or 2.44
a Girl bought a new car for $ 60 000 and it depreciates by 10% after one year.
Find the value of the girl's car after a year.
Step-by-step explanation:
90% x $60000 = $54000
Topic: percentage
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
a flagpole 6.3m is driven 1.4m long into the ground .what fraction of the pole is above the ground
Answer:
4.9/6.3= .777777... , a simplified fraction form of this would be 7/9.
Step-by-step explanation:
Fraction 7/9 of the flagpole is above the ground
If a flagpole 6.3m long is driven 1.4m into the ground, then the fraction of the pole that is above the ground is 6.3m - 1.4m = 4.9m / 6.3m = 49/63 = 7/9.
To calculate the fraction of the pole that is above the ground, we need to subtract the length of the part of the pole that is driven into the ground from the total length of the pole. This gives us 4.9m. We then divide this length by the total length of the pole to get the fraction 7/9.
In other words, 7/9 of the flagpole is above the ground. This means that if we cut the flagpole into 9 equal pieces, 7 of those pieces would be above the ground and 2 of those pieces would be below the ground.
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HELP PLEASE QUICKLY!! Please
6+3(6x-7)=ax+b make A and B make the problem have infinitely many solution. if you could pleases hurry
Answer:
sry
"j3ewqdusifqj43we0q9d8uq-idw30oasc[k-0q239ifk09eqwi,dci-0kew-f328rufj34uewdcm3riy4hg0n38ry2vn7
Answer:
A = 18 and B = -15
Explanation:
[tex]6+3(6x-7)=ax+b\\6+18x-21=ax+b\\18x-15=ax+b\\[/tex] An equation that is equated to itself has infinitely many solutions, because every point on its line is a solution.The Augello family is driving from Columbus to St. Louis at a constant rate of 65 miles per hour. The distance between the two cities is 420 miles. Write an equation in slope-intercept form to represent the distance y in miles remaining after driving x hours.
Answer:
[tex] y = -65x + 420 [/tex]
Step-by-step explanation:
Slope-intercept form equation is given as [tex] y = mx + b [/tex]
Where,
y = distance remaining
x = hours driven
m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.
b = y-intercept, which is the initial value or the distance between the cities = 420
Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:
[tex] y = -65x + 420 [/tex]
The equation in slope intercept form is [tex]y =-65x + 420[/tex]
Linear functionA linear function is a function whose value changes at a constant rate.
The given parameters are:
Distance = 420 milesRate = -65 miles per hourA linear function is represented as:
[tex]y = mx + c[/tex]
Where
m represents the ratec represents the initial value i.e. the distanceSo, the function becomes
[tex]y =-65x + 420[/tex]
Hence, the equation in slope intercept form is [tex]y =-65x + 420[/tex]
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One endpoint of a line segment has coordinates represented by (x+4,12y). The midpoint of the line segment is (3,−2).
How are the coordinates of the other endpoint expressed in terms of x and y?
A: (2x−2,1/2y−2)
B: (10−x,−1/2y)
C: (x+2,2−1/2y)
D: (2−x,−4−1/2y)
Solve for b.
-11b+ 7 = 40
b=0
Answer:
-11b + 7 = 40
Subtract 7 on both sides
-11b = 33
Divide by -11
b = -3
but if b=0 b is already solved unless you meant b=x
Help me! Please!
if you can't read it here you go
Make your own example of a relationship between two quantities that is NOT proportional. Describe the situation, and create a table to model it. Explain why one quantity is not proportional to the other.
Answer: this table shows a relationship between the number of Popsicles sold in the month of money earned by is a popsicle owner. Is the number of money earned in dollars proportional to the number of Popsicles sold? explain why or why not.
Step-by-step explanation:
What is the solution of 5/2x -7 = 3/4x +4
Answer:
Step-by-step explanation:
10x-35=12x + 12
10X-12X=12+35
-2x=47
2x=-47
x=-47/2
what is the answer?
Answer:
Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BCNow Substitute values
[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]
[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]
Step-by-step explanation:
Side AB and Side BC are the same so we can make them equal to each other:
3x -4 = 5x -10
Subtract 3x from both sides.
-4 = 2x -10
Add 10 to both sides.
6 = 2x
Divide both sides by 2
3 = x
x = 3
Now substitute x in the expression
3x -4
3(3) -4
PEMDAS
9 - 4
Subtract
5
Evan was broke didn't he got his weekly allowance but because he has a hard time saving money he spent half his weekly allowance playing mini golf he just turned four dollars cleaning out his parents car if he now has 12 how much is his weekly allowance
Answer:
$16
Step-by-step explanation:
Let his weekly allowance = x
Amount spent playing golf = x / 2
Amount earned for cleaning car = $4
Final amount at hand = $12
Mathematically ;
x/2 + 4 = 12
x/2 = 12 - 4
x/2 = 8
x = 2 * 8
x = $16
Weekly allowance = $16
Graph -9x + 6y = 18.
Answer:
the graph is correct. the equation would be y=3/2x+3
Step-by-step explanation:
Answer:
You're right
Step-by-step explanation:
Khan
Solve for x when h (x)=62 given the function h(x)=8x-10
Answer:
x=9
Step-by-step explanation:
62=8x-10
8x=72
x=9
Write an equation in slope-intercept form for the line with y-intercept 3 and slope -3/2
Answer:
y= 3x + -3/2
Step-by-step explanation:
lol
Two sides of a triangle measure 10 inches and 10.9 inches. The included angle between these sides is 65°. What is the approximate measure of the third side of the triangle?
Answer:
9.9inches
Step-by-step explanation:
From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry
From trigonometry, Sin(x)= opposite/Hypotenuse
Sin(65)=X/10.9
X= Sin(65) ×10.9
X=0.9063×10.9
=9.8688
Hence the third side of the triangle is approximately 9.9inches
CHECK THE ATTACHMENT FOR THE TRIANGLE
What is the greatest common factor of 3x^4,15x^3,and 21x^2
Step-by-step explanation:
3x^2
is the greatest common factor
The following two parallelograms are drawn below. Find the measurement of FE or the variable “x”
Answer:
x=15 in.
Step-by-step explanation:
If the parallelograms are equal (I assume they are), then the ratios are the same. 12 is 3/4 of 16. 3/4 of 20 is 15.
At Darias school, 3/8 of the students are left handed. If there are 320 students, how many of them are left handed?
Answer:
120
Step-by-step explanation:
to get 1/8 of the total students, do 320 divided by 8[40].
3/8 is 1/8 x 3 so 40x3 = 120
Given and , what is ?
The value of z₂ - z₁ is -7 -8√(8i). And the second option is correct.
What is the equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, given that two expressions,
[tex]z_1=9+9\sqrt{3i}\\z_2=2+\sqrt{3i}[/tex]
To find the z₂ - z₁:
So,
[tex]z_2-z_1\\\\=2+\sqrt{3i}-(9+9\sqrt{3i})\\\\=2+\sqrt{3i}-9-9\sqrt{3i}\\\\=-7-8\sqrt{8i}[/tex]
The value of the equation, z₂ - z₁ = -7 -8√(8i)
Hence, the second option z₂ - z₁ = -7 -8√(8i) is correct.
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Answer:
B is the answer, just took the test
Step-by-step explanation:
Find the measurement of the missing angles in each triangle. Explain your steps.
Answer:
31 degrees and 26 degrees
Step-by-step explanation:
Every triangles' angles equals 180 degrees.
180 - 82 - 67 = 31
180 - 80 - 74 = 26
can you help me please
Answer:
use www. desmos. com lol
Step-by-step explanation: