An online clothing company sells custom sneakers. The company charges $26.50 for each pair of shoes and a flat fee of $3.99 for shipping. Write a linear function that represents the total cost, y, in dollars, for a single order of x sneakers.
Answer:
6.50x + 3.99
Step-by-step explanation:
Every order of sweat shirts is charged $3.99
Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.
Find (fog)(x) (gof)(x), if f(x) = 1 - 5x; g (x) = |2x + 3| x
Step-by-step explanation:
f (x) = 1 - 5x
g (x) = 2x + 3
find (fog) (x)
it's a composite function so basically we substitute x = 2x + 3 where we see x in f (x) = 1 - 5x
so doing that we'll get
1 - 5(2x + 3)
next expand your brackets
1 - 10x + 15
equate to 0 to make things easier
1 - 10x + 15 = 0
make x the subject
1 + 15 = 10x (this is the same as 10x = 1 + 15)
x = 16/10 (you can leave it as a fraction)
fog(x) = 16/10
find gof (x)
we'll do the same thing again
2(1-5x) + 3
2 -10x + 3 = 0
2 + 3 = 10x
10x = 5
x = 5/10 (reduce)
x = 1/2
gof (x) = 1/2
A scrapbooking store is selling rubber stamps for four dollarsand $4.95 each. The total sales F(n) is a function of the number of rubber stamps n sold
A. Identify the independent and dependent variables
B. What values of the domain and range make sense for this situation? explain
C. Write a function to represent the total sales. Then determine the total sales for five stamps
A. Independent variable: number of rubber stamps n sold. Dependent variable: F(n), the total sales.
B. Only whole numbers. It is impossible to have negative and/or fractional stamps.
C. F(n) = $4.95n, which is 4.95 times n.
So, plugin 5 for n
[tex]f(5)= \$4.95(5)[/tex]
F(n) = $24.75
(3x+8)(x+4)
Expand and simplify
Answer:
Step-by-step explanation:
(3x+8)(x+4), distribute 3x over the second parenthesis first and then the 8
3x² + 12x + 8x + 32 , combine like terms
3x² + 20x + 32
Answer:
3x^2 + 20x + 32
Step-by-step explanation:
Distribute 3x over the second parenthesis first and then the 8.
#CarryOnLearning
Find the slope of this line
Answer:
0
Step-by-step explanation:
We can use the two points given, which are (-4, -2) and (3, -2), to solve for the slope and answer the question. We have to subtract the y-values and then subtract the x-values. Those differences, divided, give us our slope, as shown below:
[tex]\frac{-2-(-2)}{-4-3} =\frac{-2+2}{-4-3} =\frac{0}{-7} =0[/tex]
So, the slope is 0. If you have any more questions on finding slope, or found what I just did confusing, let me know so I can help you! :)
PLZ HELP ITS SUPER URGENT
Find the length of X
Answer:x is two
Step-by-step explanation:
y=-x-6 input (x) = -3 find (y) output
Answer:
[tex]y=-3[/tex]
Step-by-step explanation:
[tex]y=-x-6[/tex]
Plug in the given value for x:
[tex]y=-(-3)-6[/tex]
Simplify:
[tex]y=3-6[/tex]
[tex]y=-3[/tex]
What is an equation of the line through (0,3) with slope 2/5? 1. -5x+2y=15. 2. -5x-2y=-15 3. 2x-5y=15 4. -2x+5y=15
Answer:
The answer is 3. 2x - 5y = 15
Step-by-step explanation:
What is differentiation ?
Answer:
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
Find the GCF of the set of numbers.
8 and 12
Enter the correct answer in the box.
Answer:
4
Step-by-step explanation:
prime factorization of 8 is 2x2x2
prime factorization of 12 is 2x2x3
2x2 are the only common factors, therefore GCF is 4
Answer:
4 is the GCF
Step-by-step explanation:
12/4 = 3
8/4 = 2
write down, all the multiples of 8 less than 80
Answer:
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and 72.
Answer:
8, 16, 24, 32, 40, 48, 56, 64, 72
Step-by-step explanation:
8, 16, 24, 32, 40, 48, 56, 64, 72
Translate to an algebraic expression
1. double a number increased by one is seventeen
2. Three less than a number is twelve
3. Triple a number is the same as double the number increased by five
4. Double a number increased by two is the same as the sum of the number and eight
Answer:
1) 2n + 1 = 17
2) n - 3 = 12
3) 3n = 2n + 5
4) 2n + 2 = n + 8
Step-by-step explanation:
Use "n" to represent the unknown number.
For question one:
we double the number → 2n
then we increase (add) by one → + 1
is (equal) to seventeen → = 17
For question two:
three less (minus) than a number is (equals) twelve → n - 3 = 12
Question three:
triple (times 3) a number is the same (equal) as double (times 2) the number increased (add) by five → 3n = 2n + 5
Question four:
double (times two) a number increased (add) by two is (equals) the same as the sum (add) of the number and eight → 2n + 2 = n + 8
GIVING BRAINLIEST
In the figure below, if AB=11√7 , what is CD?
CD is 11 square root of 14.
The measure of the side length CD in the given right angled triangle as per the measurements is equal to option C. 11√14 .
In right triangle ABE,
Measure of angle ABE = 90 degrees
Measure of angle AEB = 60 degrees
AB = 11√7
Using trigonometric ratio we have,
tan 60° = AB / BE
⇒ √3 = 11√7 / BE
⇒ BE = 11√7 / √3
⇒BE = 11√21 / 3
In right triangle BED,
Measure of angle BED = 90 degrees
Measure of angle EBD= 45°
⇒Measure of angle EDB= 45°
BE ≅ ED
BE = 11√21 / 3
⇒ED = 11√21 / 3
Using Pythagoras theorem,
BD² = BE² + ED²
⇒BD = √ 2 (11√21 / 3 )²
⇒BD = 11√21 / 3 × √2
⇒ BD = 11√42 / 3
In right triangle CDB,
Measure of ∠CDB = 90°
Measure of ∠DCB = 30°
tan 30° = BD / CD
⇒ ( 1/ √3) = 11√42 / 3 / CD
⇒ CD = [11√42 / 3 ] × √3
⇒ CD = 11√14
Therefore, the length of the side CD in the triangle is equal to option C. 11√14 .
learn more about length here
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#SPJ2
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
Find the measure of the missing angle.
30°
a=
Answer:
the measurement of a is 60°............
Answer:
A=60
Step-by-step explanation:
it adds up to 180 so subtract 30 and 90 for the right angle and you got 60
How many lines of symmetry does the figure have?
Answer:
9
Step-by-step explanation:
just count it!!
hope its help
The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags?
Answer:
17.5 Ounces
Step-by-step explanation:
14/100=.14 .14x25=3.5 14+3.5=17.5
Joanie earns $12 per hour, plus a $20 bonus completing the training program. This week Joanie earned $240. Write an equation to represent this situation.
Answer:
(12+20)x=240
Step-by-step explanation:
x=number of hours
If she earns $12 per hour and a $20 bonus you divide that from 240 to get the number of hours she worked.
Hope this helps :)
don’t mind the 28, i literally have no idea. pls help ^^^ thx <3
9514 1404 393
Answer:
(d) 28
Step-by-step explanation:
When you are asked to evaluate g(n) for some value of n, put that value where n is and do the arithmetic.
g(n) = 3n -2
g(10) = 3·10 -2
= 30 -2 = 28
Determine the value of x in the diagram.
Answer:
x=48 because 180-156=24. 108+24=132 180-132=48
PLS HELP ME QUICKLY THANK U :) :()
Answer:
x = 1/2 or x = 2/3
Step-by-step explanation:
6x^2 = 7x - 2
=> 6x^2 - 7x + 2 = 0
=> 6x^2 - 3x - 4x + 2 = 0
=> 3x (2x - 1) -2 (2x - 1) = 0
=> (2x - 1) (3x - 2) = 0
2x - 1 = 0
=> 2x = 1
=> x = 1/2
or
3x - 2 = 0
=> 3x = 2
=> x = 2/3
Hopefully this helps!!
Answer:
x = [tex]\frac{2}{3}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6x² = 7x - 2 ( subtract 7x - 2 from both sides )
6x² - 7x + 2 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × 2 = 12 and sum = - 7
The factors are - 3 and - 4
Use these factors to split the x- term
6x² - 3x - 4x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(2x - 1) - 2(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(3x - 2) = 0
Equate each factor to zero and solve for x
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
HELPPPPPPP
Find the value of x for both
Answer:
x = 18 and x = 30
Step-by-step explanation:
The 3 angles lie on a straight line and sum to 180° , that is
90 + x + 4x = 180
90 + 5x = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
-------------------------------------
The 2 angles are corresponding and congruent , then
x = [tex]\frac{1}{2}[/tex] x + 15 ( multiply through by 2 to clear the fraction )
2x = x + 30 ( subtract x from both sides )
x = 30
Answer:
1. x=18 2. x=30
Step-by-step explanation:
For 1. the equation would be x+4x =90 as it is a 90 degree angle
So 5x=90 then x = 18
For 2. The 2 angles are the same so we set them equal to each other
x=1/2x+15
2x=x+30
x=30
Where are the factors? The number of terms? Where are the constants? Where are the confficients
3x-5y+15
Answer:
given the expression 4x - 2y + z + 5 we see three terms of the expression: 4x, -2y, +z , 5.
Terms are made of two things, a coefficient and a variable.
coefficient variable
4 x
-2 y
+1 z
+5 no variable exists in this term so it is a special term called a constant.
Coefficients can be +/-, fractions, decimals, whole numbers, etc.
In equations the coefficient is often shown as a letter such as
ax + by + 3.
This means (a times x) plus (b times y) plus 3
fractional coefficients looks like this example: x/4 + y/2 - z/3
the coefficient for x is 1/4, the coefficient for y is 1/2 and the coefficient for z is -1/3Step-by-step explanation:
the value if /14-15/ is
Answer:
1
Step-by-step explanation:
/14-15/
/-1/
1(because absolute value of any real number is always positive and for zero itself zero)
Find X if it is the measure of an acute angle in a right triangle and...
sin x = 0.5015
cos x = 0.0670
tan x = 0.7846
tan x = 9.254
The value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees
Given the following expression
sin x = 0.5015
Taking the inverse of both sides
sin⁻¹(sinx) = sin⁻¹0.5015
x = sin⁻¹0.5015
x = 30.09 degrees
For the cos function
cos⁻¹(cosx) = cos⁻¹0.5015
x = cos⁻¹0.0670
x = 86.16 degrees
For the tan function
tan⁻¹(tanx) = tan⁻¹0.5015
x = tan⁻¹0.5015
x =38.12 degrees
For the tan function
tan⁻¹(tanx) = tan⁻¹9.254
x = tan⁻¹9.254
x = 83.83degrees
Hence the value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees
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What is the slope of this equation and Y intercept.
Y= 3/5x + 6
Answer:
the y-intercept is 6 the slope is 3 / 5
Step-by-step explanation:
slope-6
y-intercept-3/5
Answer:
M = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Use the slope-intercept form y = mx + b to find the slope m.
.
Slope of parallel and perpendicular lines
Answer:
-1
Step-by-step explanation:
They already did the opposite reciprocal for you.
They have it in the form now.
To find b you just enter (x,y)=(8,1).
Let's do that.
Subtract 2 on both sides:
b=-1
distributive property
Answer:
that's have no answer so sorry
Heather and her friends are painting the
walls of a storage room in the basement.
Each wall is 9 m long and 2 m high. There
are two doors, each 1 m wide and 2 m
high. The doors are not being painted. A)One litre of paint covers 10 m². How
many litres will heater need?
B) the price of the paint is $3.75/L. How much will the paint cost?
Answer:
a) 6.8 L, b) $25.50Step-by-step explanation:
Find the area to be painted:
4*(9*2) - 2*(1*2) =72 - 4 =68 m²a) Paint needed:
68/10 = 6.8 Lb) Cost of paint:
6.8*$3.75 = $25.50Find the coordinates of point X if the midpoint of XY is (3,-5) and the coordinates of point
Y is (7,1)
Answer:
(7, -1) maybe...