Answer:
A
Step-by-step explanation:
you will figure out how many friends can get juice boxes if you do 10-2 and you keep going until you have 0 left
Using f(x) = 3x - 3 and g(x) = -x, find g(f(0))
Answer:
g(-3)=3
Step-by-step explanation:
What are the features of the quadratic function f(x) = x^2 + 10x + 21?
A) Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = -5
B)
Vertex = (5,4), y-intercept = (0,-21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = 5
C)
Vertex = (-4,-5), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = -4
D)
Vertex = (-5,-4), y-intercept = (21,0), x-intercepts = (3,0) and (7,0), axis of
symmetry is x= -5
The features of the quadratic function f(x) = x^2 + 10x + 21 are Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of symmetry is x = -5 so option (A) will be correct.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example 3x² + 6x + 8 = 0 here x has highest term as 2 and coefficient of x² is not zero.
The standard form of a quadratic equation is ax² + bx + c
The x vertex is given -b/2a
So,
x-vertex = -10/2 = -5
So y = (-5)² + 10(-5) + 21 = -4
So vertex is (-5, -4)
The Y-intercept is given as (0,y)
So,
y = 21
Therefore
y-intercept = (0,21)
the x-intercept is given as (x,0)
So,
x = -7 , -3
Therefore
x-intercepts = (-7,0) and (-3,0)
The Axis of symmetry is given by -b/2a
So,
⇒ -10/2 = -5
Hence "Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of symmetry is x = -5".
For more about the quadratic equation,
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What's the lateral area of the following cone?
Answer:
Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder. So, the formula for the lateral surface area of a right cone is L. S. A=πrl , where l is the slant height of the cone .
Step-by-step explanation:
I tired??? sorry if it's wrong???
Graph y= -2x + 5. Help please.
Answer:
Step-by-step explanation:
The oakville high school marching band band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $3.50 per roll.The band needs to earn $2500 for an upcoming competition. If the bad Sells 325 rolls of printed paper,write and solve a linear equation to find the number of solid paper they must sell
Give the domain and range.
القسم الا نیا
1
a. domain: {1, 2, 3}, range: {1, 0, 1}
b. domain: {-1, 0, 1), range: {1, 2, 3}
c. domain: {1, 0, 1), range: {1, 2, 3}
d. domain: 1, 2, 3), range:{-1, 0, 1}
ant ancur from the choices provided
Find the distance between the two points rounding to the nearest tenth (if necessary),
(5,-4) and (0,8)
Answer:
13
Step-by-step explanation:
Answer: 13
Step-by-step explanation:
The distance formula between two points is:
[tex]c = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Our points are as follows -
[tex]x_2 = 0, x_1 = 5\\y_2 = 8, y_1 = -4[/tex]
If we plug them in:
[tex]c = \sqrt{(0 - 5)^2 + (8 - (-4))^2}[/tex]
All we need to do now is simplify
[tex]c = \sqrt{(-5)^2 + (12)^2}[/tex]
[tex]c = \sqrt{25 + 144}[/tex]
[tex]c = \sqrt{169} = 13[/tex]
Karen is trying to decide which home phone company to use. Phone Home was a monthly charge of
$45 and charges $0.01 per minute. CallMeMaybe has a monthly charge of $10 and charges $0.05 per
minute. Write an inequality to represent the number of minutes used in order for Phone Home to
have the better deal.
Answer:
Is this a joke?
Step-by-step explanation:
12/15 = 8/k k = ? Please helppp
Answer:
10
Step-by-step explanation:
you can cross multiply.
[tex]\frac{12}{15}=\frac{8}{k}[/tex]
after you cross multiply:
12k=120
k=10
if 5x-7=13, what is the value of 10x-14
Answer:
10x-14=26
Step-by-step explanation:
x = 4
10 x 4 = 40
40 - 14 = 26
Answer:
26
Step-by-step explanation:
In order to answer this question, we must first find what x equals, so we need to solve for x in the equation 5x - 7 = 13:
5x - 7 = 13
+7 +7
5x = 20
/5 /5
x = 4
Now, we plug in 4 for 'x' in the equation 10x - 14:
10(4) - 14 =
40 - 14 =
26
So, 10(4) - 14 = 26
Hope this helps :)
The middle 5 in 0.555is 10 times the value of the 5 to its
Change each percent to a decimal or a mixed decimal
43%
2 1/2%
13.6%
521%
Suppose b is an integer. If b mod 12 = 5, what is 8b mod 12? In other words, if division of b by 12 gives a remainder of 5, what is the remainder when 8b is divided by 12
Answer:
8 b mod 12 is equal to 4.
Step-by-step explanation:
Use Dividend = Divisor × Quotient + Remainder
As b mod 12 = 5 (that is division of b by 12 gives a remainder of 5)
[tex]b=12k+5[/tex]
Here, k is any integer.
Multiply both sides of [tex]b=12k+5[/tex] by 8
[tex]8b=8(12k+5)\\8b=8(12k)+40[/tex]
write 40 in terms of 12
[tex]40=36+4=12(3)+4[/tex]
[tex]8b=8(12k)+12(3)+4\\8b=12(8k+3)+4[/tex]
Therefore,
8 b mod 12 is equal to 4.
You are multiplying as many as you want 5s and as many as you want 2s, at least one of each. What could the last digit of the product be?
Answer:
0
Step-by-step explanation:
It is always going to be 0 because there is always going to be a 2 and a 5 that multiply to make the units digit zero.
I hope this could help you.
Answer:
0
Step-by-step explanation:
any multiple of 5 ends in 5 or 0
it cant end in 5 as then it wouldn't be an even number
so its 0
7. A group of 140 tourists are going on a tour. The tour guide rents
15 vans. Each van holds 9 tourists.
Part A
Write a division problem that can be used to find the number of
vans needed to carry the tourists. Then solve.
Answer:
16
Step-by-step explanation:
140 divided by 9 = 15.5
you need 16 vans to hold 140 tourists
74 ÷ 2072=
PLEASE HELPPPP
Answer:
0.0357142857142857
[tex](789) \times 2575 - 58 )[/tex]
The balance of an investment account is $308 more than the balance 4 years ago. The current balance of the account is $4708. What was the balance 4 years ago?
Answer:
$4,400
Step-by-step explanation:
Key: B stands for balance.
b+308=4708
b=4,708-308
b=$4,400
A tree casts a 242 centimeters shadow. A person next to the tree casts a 89 centimeter shadow. If the person is 181 centimeters tall, how tall is the tree to the nearest centimeters?
Answer:
150 centimeters
it will be 150 centermeter
Uhdfburfuruhd
22. Find the area of the figure pictured below.
Answer:
35
Step-by-step explanation:
The area of given figure is, 35 meter².
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The figure is shown in figure.
Now, We know that;
⇒ Area of rectangle = Length × Width
So, The area of figure is,
⇒ 9 × 3 + (7 - 3) × 2
⇒ 27 + 4 × 2
⇒ 27 + 8
⇒ 35 meter²
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Sultan measures the distance he drives to work each day using the odometer on his car, which measures distance in
miles, accurate to the nearest tenth of a mile. If the odometer reads 11.7 miles, what between what two quantities can
you be certain that the exact distance lies?
in two or more complete gfsentences, explain your reasoning,
Answer:
We can be sure that the actual distance lies between 11.65 and 11.74
Step-by-step explanation:
Here. we are told that the odometer measures to the nearest tenth.
The nearest tenth means to the nearest first digit after the decimal point
So the range of values we shall be writing will be the range that includes the smallest number that can be approximated to 11.7 and the largest number that can be approximated;
Thus, we have;
11.65 to 11.74
The reasoning is because the smallest number that can be approximated to 11.70 is 11.65 while the largest that can be approximated to 11.70 is 11.74. So the actual distance we need from the odometer is between 11.65 and 11.74
simplify
(x+4)−(x−1)
Answer:
5Step-by-step explanation:
[tex](x+4)−(x−1)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=x+4-\left(x-1\right)\\\\-\left(x-1\right):\quad -x+1\\=x+4-x+1\\\\\mathrm{Simplify}\:x+4-x+1:\\\quad 5\\\\[/tex]
Find the value of y.
(12x + 9)
(8x + 11)º
(14y + 7)o
Answer:
y = 7
Step-by-step explanation:
First, find the value of x.
[tex] (12x + 9) + (8x + 11) = 180 [/tex] (linear pair)
Solve for x
[tex] 12x + 9 + 8x + 11 = 180 [/tex]
Collect like terms
[tex] 12x + 8x + 9 + 11 = 180 [/tex]
[tex] 20x + 20 = 180 [/tex]
Subtract 20 from both sides
[tex] 20x + 20 - 20 = 180 - 20 [/tex]
[tex] 20x = 160 [/tex]
Divide both sides by 20
[tex] \frac{20x}{20} = \frac{160}{20} [/tex]
[tex] x = 8 [/tex]
Thus,
[tex] (12x + 9) = (14y + 7) [/tex] (vertical angles)
Plug in the value of x, and solve for y
[tex] 12(8) + 9 = 14y + 7 [/tex]
[tex] 96 + 9 = 14y + 7 [/tex]
[tex] 105 = 14y + 7 [/tex]
Subtract 7 from each side
[tex] 105 - 7 = 14y + 7 - 7 [/tex]
[tex] 98 = 14y [/tex]
Divide both sides by 14
[tex] \frac{98}{14} = \frac{14y}{14} [/tex]
[tex] 7 = y [/tex]
I will give the brainiest!
Choose the point on the terminal side of -45°
(-3,-3)
(4,-4)
(5,5)
(-2,2)
Answer:
the answer is b)(4,-4)
please mark as brainiliest.
Answer:
(-2,2)
Step-by-step explanation:
I NEED HELP NOW
Geoffrey is evaluating the expression StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript 5 Baseline (2 squared) EndFraction as shown below.
StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript 5 Baseline (2 squared) EndFraction = StartFraction (2) Superscript a Baseline Over (negative 3) Superscript b Baseline EndFraction = StartFraction c Over d EndFraction
The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.
Answer:
a = 4, b = 2, c = 16, d = 9
Solving the first part of the question by indices,
Comparing the rightmost term with the second term in the question,
a = 4, b = 2
Solving on,
Comparing with the final term in the question,
c = 16 and d = 9
Therefore,
a = 4, b = 2, c = 16, d = 9
pls give brainest
Answer:
A - 4
B - 2
C - 16
D - 9
Step-by-step explanation:
Just took the test on edg 2020
i will give 20 pts
plz halp-
Answer:
sorry
Step-by-step explanation:
Answer:
It's dez
Step-by-step explanation:
Ask me what's dez
m
7=
2+3
Show some work
Answer:5?
Step-by-step explanation:2+3 is 5 unless your doing some other math?
anyone wanna bang?
Answer:
me
Step-by-step explanation:
Answer:
Yes pls
Step-by-step explanation:
im thirsty my guy
given the regular polygon, select all of the rotations and reflections that carry the figure onto itself.
Answer:
A. A rotation of 72º around the center, point D.
C. A reflection across line b through one vertex, the center d.
E. A reflection across line c, and the midpoint of the opposite side
Step-by-step explanation:
From Euclidean Geometry we get that sum of internal angles inside a polygon equals 360º and there is the following relationship in regular polygons:
[tex]\theta = \frac{360^{\circ}}{n}[/tex] (Eq. 1)
Where:
[tex]\theta[/tex] - Internal angle, measured in sexagesimal degrees.
[tex]n[/tex] - Number of sides, measured in centimeters.
If we know that [tex]n = 5[/tex], then internal angle of regular pentagon is:
[tex]\theta = \frac{360^{\circ}}{5}[/tex]
[tex]\theta = 72^{\circ}[/tex]
In consequence, rotating the regular pentagon 72º around the pentagon carries the figure onto itself due to angular symmetry. (Correct answer: A)
By adding any line passing the center of the regular pentagon (i.e. line cc', line bb'), which is collinear to any vertex and any point of the figure, we guarantee conditions of length symmetry so that reflection carries the figure onto itself. (Correct answers: C, E)
Answer:
Step-by-step explanation:
Thank you
2 more than the number of frogs is 4 ( writing Equations )
Answer:
4f+2
Step-by-step explanation:
Step-by-step explanation:
Answer:-Let the number of frogs be x.
According to statement,
2 more than the number of frogs is 4 .
So,
[tex]\boxed{\tt{2 + x = 4}}[/tex] is the required Equation.
If solution, then,
[tex]x = 4 - 2[/tex]
[tex]x = 2[/tex]
Hope it helps :)
