Answer:
Function families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function. They're useful because if you know the parent function, you can figure out another function from there
Step-by-step explanation:
P is a point inside a rectangle ABCD, where PA = 3, PC = 7 and PD = 6. Find PB.
Answer: I believe PB is 4
Step-by-step explanation: The diagonal AC equals 10 (7 + 3) and for diagonal DB to equal the same length, PB must be 4 (6 + 4=10).
The quotient of a number t and 4.2 is at most 15.
Answer:
[tex]t \leq 63[/tex]
Step-by-step explanation:
Quotient of two numbers also means the result of the two numbers after division.
If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;
[tex]\dfrac{t}{4.2}\leq 15[/tex] (note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)
On solving the inequality for the variable t
[tex]\dfrac{t}{4.2}\leq 15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq 15 * 4.2\\\\t \leq 63[/tex]
Hence t is at most 63
a shopkeeper sold watch allowing 15 percent dis.. and levying 13 percent vat .if the dis.. amount was rs 750 .find the vat amount
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 552.5}}}}}[/tex]
Step-by-step explanation:
Given,
Discount percent = 15 %
Vat percent = 13 %
Discount amount = Rs 750
Vat amount = ?
Finding the Marked price ( MP )
[tex] \boxed{ \sf{Discount \: amount = \: discount\% \: of \: MP}}[/tex]
⇒[tex] \sf{750 = 15\% \: of \: MP}[/tex]
⇒[tex] \sf{750 = \frac{15}{100} \times MP }[/tex]
⇒[tex] \sf{750 = \frac{3}{20} MP}[/tex]
⇒[tex] \sf{ \frac{3}{20} MP = 750}[/tex]
⇒[tex] \sf{MP = 750 \times \frac{20}{3} }[/tex]
⇒[tex] \sf{MP = rs \: 5000}[/tex]
Finding the selling price
[tex] \boxed{ \sf{Selling \: price = \: MP - \: discount \: amount}}[/tex]
⇒[tex] \sf{5000 - 750}[/tex]
⇒[tex] \sf{Rs \: 4250}[/tex]
Finally, finding the Vat amount
[tex] \boxed{ \sf{Vat \: amount = Vat\% \: of \: selling \: price}}[/tex]
⇒[tex] \sf{13\% \: of \: 4250}[/tex]
⇒[tex] \sf{ Rs 552.5}[/tex]
Vat amount = Rs 552.5
Hope I helped!
Best regards!!
Consider the functions f(x) = 3x - 5.
Solve for x when f(x) = -17
Answer: -4
Step-by-step explanation: f(x)= 3x - 5 | f(x) = -17
If you write the equation in this form: -17 = 3x-5 Than add +5 to each side and divide it by 3 you'll get x=-4 Which is definitely the answer.
The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults, which proportion and solution represent this situation
So, there are 3 more "parts" of students than of adults (5 - 2), right?
Those 3 parts are made up of 12 people.
12/3 = 4 people per part
2(4) = 8 adults
5(4) = 20 students
Answer:
2/5=8
Step-by-step explanation:
Which answer choice properly reflects labeling a ray with endpoint B and direction C.
Answer:
the 4th choice
Step-by-step explanation:
To name a ray, use two letters which are the names of points on the ray. The first letter is the endpoint of the ray. Here it is B. Then you use a letter which another point on the ray. Here it is C.
Answer: the 4th choice
given:x-5>-2. choose the solution set.
Answer:
[tex]x > 3[/tex]
Step-by-step explanation:
[tex]x - 5 > - 2 \\ x > - 2 + 5 \\ x > 3[/tex]
First you collect like terms
Then you add
what is 7a - 6 + 8a simplfied?
Answer:
15a - 6
Step-by-step explanation:
7a - 6 + 8a
Combine like terms
15a - 6
Please help I will give out brainliest
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0+3}{2-0}[/tex] = [tex]\frac{3}{2}[/tex] → A
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
First find coordinates
(3,4)
(6,6)
Found these using my eye and estimating
Use the formula to find slope
[tex]\frac{y2-y1}{x2-x1}[/tex]
6-4= 2
6-3= 3
=
2/3
Convert 3.5×104 to standard form
Which expression is represented by the diagram? ( Marked 1-4, I can't paste the question.)
Answer:
-6-(-1)
Step-by-step explanation:
Since all the boxes are negative, and there are 6 boxes, the first part of the equation is -6. Then since the last box is being taken away, we are subtracting it. The last box is still negative though so the last part is -1. Since -6 subtracted by -1 is -6-(-1), the answer is:
-6-(-1)
If the length,l, of the yard is 18 feet longer than the width ,w, of the yard, what is the area of the yard , in square yard
Answer: The area is [tex]w^{2}[/tex] + 18w
Step-by-step explanation:
We could represent the length of the yard by l = w+18 and the width as w .
And to find the area we will have to multiply the length by the width.
A= w(w+18 ) multiply
A= [tex]w^{2}[/tex] + 18w
Answer:
27^2 yards
Step-by-step explanation:
Perimeter = 2W + 2L ..... and the width is 18 more than the length....therefore
Perimeter = 2[L + 18] + 2L
72 = 2L + 36 + 2L
72 = 4L + 36 subtract 36 from each side
36 = 4L divide both sides by 4
9 = L and the width is 18 more = 27
So....the area = W x L = 27 x 9 = 243 ft^2 = 27^2 yards
(divide the area value by 9 )
Equivalent expressions to an-1
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Name three non-collinear points. Please help :)
Answer: M, K, N
Step-by-step explanation: In order points to be non-collinear,
the points can't lie on the same line.
So what we are looking for are points that don't lie on the same line.
The correct answer would be points M, K, N.
Although M, K, R, and R, N, K, look like points that are non-collinear,
they aren't all points since R is the name of the plane.
Help please variations questions
Answer:
Step-by-step explanation:
first graph
height=constant* width ( direct variation describes a linear relation between 2 variable )6=8x ⇒ x=6/8=0.75
h=0.75w
constant is 0.75second graph:
height=constant/width ( inverse variation)15=x/4 ⇒x=4*15 ⇒x=60
constant=60For two quantities with inverse variation, as one quantity increases, the other quantity decreases. k(constant)=xy
An angle measures 112º more than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
The angles measure 34 degrees and 146 degrees.
Step-by-step explanation:
The supplement measures x.
The angle measures x + 112.
The measures of supplementary angles have a sum of 180 deg.
x + 112 + x = 180
2x + 112 = 180
2x = 68
x = 34
x + 112 = 146
The angles measure 34 degrees and 146 degrees.
What is -8/15+(-1/15
Answer:
-3/5
Step-by-step explanation:
-8/15 + (-1/15) = -8/15 - 1/15 = -9/15 = -3/5
Is the inequality always, sometimes, or never true?
3x - 14 < 3(x-5)
Answer:
3x - 14 < 3x - 15
-14 < -15
never true
Step-by-step explanation:
Write the expression 6 - 15 as an equivalent addition expression
Answer:
6 + (-15)
Step-by-step explanation:
6 - 15 would also be written as 6 + (-15). If you distribute the '+' into the '-15', you would get the negative 15.
1 * -15 = -15
So, 6 + (-15) would be the equivalent addition expression.
Hope this helps.
Complete the table for the equation of the line y = 3x - 1 X
f(x)
-1
0
2
Answer:
Step-by-step explanation:
Given the equation of a line expressed as y = 3x-1, we are to find y = f(x) for the following values of x in the table.
If y = 3x-1, then f(x) = 3
When x = -1
f(-1) = 3(-1)-1
f(-1) = -3-1
f(-1) = -4
Hence when x = -1, f(x) = -4
When x = 0
f(0) = 3(0)-1
f(0) = 0-1
f(0) = -1
Hence when x = 0, f(x) = -1
When x = 2
f(2) = 3(2)-1
f(2) = 6-1
f(2) = 5
Hence when x = 2, f(x) = 5
Please Help Fast!! 15 Point and brainiest if correct
If a < b, then dividing both sides by a positive number will not flip the inequality sign. The inequality flips if you divide both sides by a negative number.
So if a < b, then a/3 < b/3 as well.
Answer: Less than sign (first choice)Find the co-ordinate of a pont on Y-axis which is at a distance of 17 units from the point(-8,3)
Answer:
15 units
Step-by-step explanation:
√[ 17² - ( - 8)² ] = 15 ( on y-axis )
Coordinate of the point = ( 0 , 15 )
Jacob wanted to purchase a boat. The dealership offered the following payment terms for Jacob: a $800 down payment and $275 a month for 36 months. If Jacob makes all the payments on time, he will be refunded $400. What will be the total cost of the boat, if Jacob makes all of his payments on time?
Answer:
$10,700
Step-by-step explanation:
The total cost of the boat if Jacob makes all of his payments on time is $10,300
The total cost of the boat is the sum of the total amounts paid less the amount refunded for swift payment
Total amount paid = $800 + ($275 x 36) =
$800 + $9900 = $10,700
Amount refunded = 400
Total cost = $10,700 - $400 = $10,300
A similar question was solved here : https://brainly.com/question/14309005?referrer=searchResults
David is a truck driver. He drives 546 miles each day. How many total miles does he drive in 12 days?
Answer:
6552
Step-by-step explanation:
546 x 12
Answer:
6,552 miles
Step-by-step explanation:
Daily: 546 miles
you need to find out how many miles he drives in 12 days, so that would be the daily amount by 12
546× 12 =6,552 miles
Which rays are part of line CF?
Answer:
A C and A F
Step-by-step explanation:
A C goes from A to C
A F goes from A to F
HeLp PlEasE What is the factored form of the following expression? 9x2 + 18x + 9 A. 3(x + 3)(3x + 1) B. 9(x + 1)2 C. (9x + 1)(x + 9) D. 3(x + 1)2 help DDDDDDD:
Answer:
The answer is option BStep-by-step explanation:
9x² + 18x + 9
Factor out 9 from the expression
That's
9( x² + 2x + 1)
Using the identity
a² + 2ab + b² = ( a + b)² factor the expression
We have the final answer as
9( x + 1)²Hope this helps you
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Step-by-step explanation:
don't ask these bad questions
What is the answer for this equation or problem? y+6=52 and what does y equal.
Answer: y=46
Step-by-step explanation:
Subtract 6 from either side to ensure that the y is alone. This then equals y=52-6.
52-6= 46
So therefore, y=46
Answer:
y=46
Step-by-step explanation:
We are given the equation:
y+6=52
and asked to solve for y. Therefore, we must isolate y on one side of the equation.
6 is being added to y. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
y+6-6=52-6
y=52-6
y= 46
Let’s check our solution. Plug 46 in for y and solve.
y+6=52
46+6=52
52=52
This checks out, so we know our solution is correct.
The solution to the equation y+6=52 is y=46
what math symbol is this?
Σ
Answer:
summation
Step-by-step explanation:
This symbol is the summation symbol
It means to sum what comes after it
10 ft
8 ft
5 ft
4 ft
8 ft
17 ft
What is the volume of the figure? Enter the answer in the box.
Answer:
5ft
Step-by-step explanation:
because you divide the quotent the the base and the reslut is divided by the top left and the left