Answer:
-3x + 14
Step-by-step explanation:
Expand -3(x-5)
. -3 * x = -3x
. -3 * -5 = 15
So
. y+1 = -3x + 15
Subtract 1 from both sides so that y is the subject
. y = -3x + 14
Now you can juse replace y with f(x) since theyre basically the same thing
at edgars bakery one customer buys 4 donuts and 10 muffins for $32. Another customer buys 12 donuts and 5 muffins and pays $21.
x=price of donut
y=price of muffin
1. Write an equation to represent the first customer
2.write an equation to represent the 2nd customer
3.solve system of equations
Based on the information given, the price of donut will be 1.5 and the price of muffin is 3.8.
The equation to represent the first customer is 4x + 10y = 32
The equation to represent the 2nd customer is 12x + 5y = 21
Solving the equations will be:
4x + 10y = 32 ...... i
12x + 5y = 21 ......ii
Multiply equation i by 12
Multiply equation ii by 4
48x + 120y = 384
48x + 20y = 84
100y = 380
y = 380/100 = 3.8
Therefore, we'll find the value for x which will be:
4x + 10y = 32
4x + 10(3.8) = 32
4x = 32 - 38
4x = -6
x = -1.5
Therefore, the price of donuts will be 1.5 and the price of muffin is 3.8.
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EXPLORE has 24 chess players. A team of 6 players, as well as 1 captain, will be chosen out of the 24 chess players (i.e. choose 7 players and then select the captain) How many different selections can be made?
Answer:2422728
Step-by-step explanation:
PLEASE HELP!!
What is the equation that represents the sequence shown below?
7/2, 7/4, 7/8, 7/16, ….
Answer:
7/2(1/2)^(n-1)
Step-by-step explanation:
multiplied by 1/2 each time, and first one is 7/2, so 7/2(1/2)^(n-1)
(8 points) will mark brainliest!! pls help:)
Answer:
-0.366666666667
Step-by-step explanation:
that's what you get when you divide -22/5 (-4 2/5) by 4/3 (1 1/3)
Answer:
-24/5 is the correct answer.
Steps:
1) -4 x 2/5 = -8/5
2) 1 x 1/3 = 1/3
3) -8/5 : 1/3 = -24/5
In Brad's golf bag, he has 3 times more white golf balls than yellow golf balls. He has 18 white golf balls in his bag.
Which equation can be used to find how many yellow golf balls, y, Brad has in his bag?
A.
3 + y = 18
B.
18 + y = 3
C.
3y = 18
D.
18y = 3
Answer:
C
Step-by-step explanation:
A boy eats ⅝ of a loaf at breakfast and ¼ of it for Lunch. what fraction of the loaf is Left?
Which expression does not have a solution of 14, if w = 9?
a. w + 5
b. 5 + w
c. 23 - w
d. w - 9
If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220
Find the measure of the angle ACD in the given figure???
Answer:
∠ACD = 33.5°
Step-by-step explanation:
The arc length will be twice ∠ ABD,
∠ABD will equal ∠ACD because they subtend the same arc length.
3x + 7 = 2(2x - 6.5)
3x + 7 = 4x - 13
x = 20
∠ABD = (2(20) - 6.5) = 33.5
Drag the tiles to the correct boxes. Not all tiles will be used. What are the domain and the range of function f? range arrowRight domain arrowRight
here are the correct answers :)
Which graph appears to show a linear proportional relationship between x and y?
A,B,C, or D
Answer:
Step-by-step explanation:
do you have a cat and if so how old is he or she
Calcula el área de un círculo cuyo diámetro mide 4 metros.
Answer:
12.56 m²
Step-by-step explanation:
Circle with diameter 4 has a radius of 2
Area of Circle = πr²
Area of Circle = 3.14(2²)
Area of Circle = 12.56
El círculo de diámetro 4 tiene un radio de 2
Área del círculo = πr²
Área del círculo = 3,14 (2²)
Área del círculo = 12.56
-Chetan K
Simplify this expression:
[tex](-3c^8)(2c^6d^8)\implies (-3)(2)c^8c^6d^8\implies -6c^{8+6}d^8\implies -6c^{14}d^8[/tex]
Is there a proportional relationship between x and y? Explain.
Answer:
c
Step-by-step explanation:
14-11=3
12-9=3
10-7=3
8-5=3
Answer:
A
Step-by-step explanation:
It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.
2, 10 after a dilation by a scale factor of 1/2 centered at the
origin?
Answer:
(1, 5)
Step-by-step explanation:
When the center is the origin, the dilation factor multiplies each coordinate:
(2, 10) ⇒ (1/2)(2, 10) = (1, 5)
A veterinarian prescribed Sunny, a 75 pound dog, an antibacterial medicine in case an infection emerges after her teeth were cleaned. If the dosage is 4 mg for every pound, how much medicine was Sunny given?
Sunny was given mg of medicine.
Answer:
Step-by-step explanation:
The dog is 75 pounds
1 pound requires 4 mg
75 pounds requires 4*75 = 300 mg
Please take a look at the picture
Answer:
C
Step-by-step explanation:
it is none of the above, because
x - (-x) = x + x = 2x
and that is not -x
0 - (-x) = 0 + x = x
and that is not -x
Please help answer this question picture is including
Answer:
B.15
Step-by-step explanation:
The answer is 15 because we can identify this shape as a quadrilateral kite
So, we know that a quadrilateral kite has two pairs of congruent adjacent sides
Therefore AB = AC and BD = DC
Which claim supports this graph?
A- Students Never use social media.
B- Students mostly use social media 0-3 times a day.
C- Students mostly use social media 8-11 times per day.
D- Students are not using social media enough.
Answer:
The answer is C.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
20.
Find a quadratic function to model the values in the table.
A. y = -2x^2 - 3x + 3
B. y = 3x^2 + 3x - 3
C. y = -3x^2 - 3x - 3
D. y = 2x^2 + 3x + 2
Answer:
B. y = 3x^2 + 3x - 3
Step-by-step explanation:
Find the function rule.
y = 3 x ^2 + 3 x − 3
\table[[x,y],[-1,-3],[0,-3],[3,33]]
The quadratic function to model the values in the table is,
⇒ y = 3x² + 3x - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values of x and y in the table are,
⇒ x = - 1, 0, 3
⇒ y = - 3, - 3, 33
Now, We know that;
The standard form of the quadratic equation is,
⇒ y = ax² + bx + c
Put x = - 1, y = - 3;
⇒ - 3 = a (- 1)² + b (- 1) + c
⇒ - 3 = a - b + c .. (i)
Put x = 0, y = - 3;
⇒ - 3 = a (0)² + b (0) + c
⇒ - 3 = c
Put x = 3, y = 33;
⇒ 33 = a (3)² + b (3) + c
⇒ 33 = 9a + 3b - 3
⇒ 36 = 9a + 3b
⇒ 36/3 = 3a + b
⇒ 3a + b = 12 .. (ii)
From (i);
⇒ - 3 = a - b + c
⇒ - 3 = a - b - 3
⇒ a - b = 0 .. (iii)
Solve for (i) and (iii), we get;
⇒ a = 3, b = 3
Hence, The quadratic function to model the values in the table is,
⇒ y = ax² + bx + c
⇒ y = 3x² + 3x - 3
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Hey everyone! Need this question ASAP. Can anybody help me? (Look at photo)
Two relationships are described below: Relationship A: It took 2 people 12 hours to build a deck. It would have taken 3 people 4 hours to build the same deck. Relationship B: Jack earned $24 after 3 hours of work. Then, he earned $40 after 5 hours of work. Which statement is true about these relationships?
Answer:
im pretty sure its b but if its not then i apologise
1. Draw a quadrilateral with 2 parallel sides. It should have 2 pairs of perpendicular lines.
Answer:
draw a rectangle
Step-by-step explanation:
a rectangle has 2 long sides and 2 short ones it has 2 sets of simailer and has 2 perpundicular
A baker needs to arrange 487 cookies on plates.
Each plate can hold 8 cookies. How many plates will
the baker need
Based on the information given the number of plates that the baker will need is 61 plates.
Using this formula
Number of plates=Number of cookies arranged/Each plates number of cookies
Where:
Number of cookies arranged=487
Each plates number of cookies=8
Let plug in the formula
Number of plates=487/8
Number of plates=60.9
Number of plates=61 plates (Approximately)
Inconclusion the number of plates that the baker will need is 61 plates.
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Do y’all know the answer ….???
Answer:
$500
Step-by-step explanation:
John earns $100 per night.
He works 5 nights a week.
Therefore his weekly gross wage = $100 × 5
= $500
an expression for the area of a rectangular piece of sheet metal is X^2+8x+12.
An expression for the length of the same piece of sheet metal is x+6.
Determine an expression for the width.
[tex]\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2[/tex]
b(n)=−8−2(n−1)b, left parenthesis, n, right parenthesis, equals, minus, 8, minus, 2, left parenthesis, n, minus, 1, right parenthesis
Find the 9^\text{th}9
th
9, start superscript, start text, t, h, end text, end superscript term in the sequence
Step-by-step explanation:A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence
A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence
What is a sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.
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The graph of function f is shown below. Find f(-4)
Answer:
pls give the correct question the question is not correctWill mark brainliest if answer is correct.
The graph shows the absolute value parent function.
Which statement best describes the function?
A. The function is increasing when x>0
B. The function is never increasing
C. The function is always increasing
D. The function is increasing when x<0
Answer:
A. The function is increasing when x > 0Step-by-step explanation:
Given is an absolute value function f(x) = |x|
Its vertex is at origin, the function is decreasing at negative values of x and increasing at positive values of x:
f(x) = - x, when x < 0, the slope is - 1f(x) = x, when x > 0, the slope is 1Correct answer choice is A
Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?