(05.05) Which inequality matches the graph? (2 points)
Answer: Choice C [tex]-3x+2y \ge 7[/tex]
===================================================
Explanation:
The boundary line is solid, so that means we'll be dealing with "or equal to" as part of the inequality sign. The answer is between choice A and choice C because of this.
Note how the point (0,0) is not in the shaded region. This must mean that plugging x = 0 and y = 0 into the answer will lead to a false statement.
If we plug x = 0 and y = 0 into choice A, then we get...
[tex]3x-2y \le 7\\\\3(0)-2(0) \le 7\\\\0 \le 7\\\\[/tex]
Which is a true statement, implying that (0,0) is in the shaded region. However, we're after a false statement, so we can rule out choice A.
The answer must be choice C
Let's plug (x,y) = (0,0) into choice C
[tex]-3x + 2y \ge 7\\\\-3(0) + 2(0) \ge 7\\\\0 \ge 7\\\\[/tex]
That is false because 0 is not equal to 7, nor is it larger than 7.
This helps confirm that choice C is the answer.
Answer:
C it c because i took the test
Step-by-step explanation:
Scientists are drilling a hole in the ocean floor to learn more about the Earth's history Currently, the hole is in
the shape of a cylinder whose volume is approximately 4200 cubic feet and whose height is 4.3 miles. Find
the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are
used.)
The radius of the hole is
feet. (Round to the nearest hundredth.)
Answer:
The radius of the hole is 0.24 feet
Step-by-step explanation:
Firstly, we need to convert the miles to feet
Mathematically;
1 mile = 5,280 feet
4.3 miles is thus;
4.3 * 5,280 = 22,704 feet
Mathematically, the volume of a cylinder is;
V = pi * r^2 * h
here, we want to get r
4200 = 3.142 * r^2 * 22,704
r^2 = 4200/(3.142 * 22,704)
r = 0.24 feet
CAN YALL PLEASE HELP???
Answer:
x = 11, arc RB = 150°
Step-by-step explanation:
The secant- secant angle RDB is calculated as half the difference of its intercepted arcs, that is
∠ RDB = [tex]\frac{1}{2}[/tex] ( RB - EC ), that is
5x - 10 = [tex]\frac{1}{2}[/tex] ( 13x + 7 - 60 )
Multiply both sides by 2 to clear the fraction
10x - 20 = 13x - 53 ( subtract 13x from both sides )
- 3x - 20 = - 53 ( add 20 to both sides )
- 3x = - 33 ( divide both sides by - 3 )
x = 11
Thus
arc RB = 13x + 7 = 13(11) + 7 = 143 + 7 = 150°
I need help ASAP! picture below is what I need
Answer:
Evaluating the piecewise function when X =3, we get f(3) = 7
Step-by-step explanation:
Given the following piecewise function
f(x)= { 2x+1; where x > 0
-3 when x ≤ 0
Evaluate the function when X = 3
We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0
We can't use -3, because x ≤ 0, and 3 is not less than 0.
Now, evaluating the function:
[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]
So, Evaluating the piecewise function when X =3, we get f(3) = 7
PLEASE HELP!!! IS THIS CORRECT???
Answer:
yes
Step-by-step explanation:
good job, it's correct.
Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?
Answer:
The one on the graph
Step-by-step explanation:
In the past month, Heather rented 1 video game and 5 DVDs. The rental price for the video game was $3.30. The rental price for each DVD was$4.80 . What is the total amount that Heather spent on video game and DVD rentals in the past month?
Answer:
$27.30
Step-by-step explanation:
$4.80×5=$24.00+$3.30=$27.30
I need help with this please!!
Answer:
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Step-by-step explanation:
1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]
2. Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]
3.Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]
4. Remove parentheses.
[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]
5. Collect like terms.
[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]
6. Simplify.
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Thus. the answer is,
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
HELP ME PLEASE I NEED HELP
try the other answer.
Answer:
a. x=2
b. y=5
Step-by-step explanation:
a. 2(11x+7)=58
22x+14=58
x=2
b. 16y+10=90
16y=80
y=5
For the model to scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu's pyramid to scale? If not, is it close?
PLEASE HELP. I WILL MARK YOU BRANLIEST
Answer:
Scale Model of the Great Pyramid
You can build a model of the Great Pyramid, but first you need to scale it down. To do this, you will need to
make the pyramid 3,000 times smaller than it really is! To achieve that, every 30 meters of the pyramid is
represented as 1 centimeter.
Step-by-step explanation:
How do I do this I need help right now
Question 3 (2 points)
(04.07)
Two separate bacteria populations grow each month and are represented by the functions fx) = 3* and g(x) = 7x + 6. In what month is the f(x)
population greater than the g(x) population? (2 points)
Complete question is;
Two separate bacteria populations grow each month and are represented by the functions f(x) = 3^(x) and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?
A. Month 1
B. Month 2
C. Month 3.
D. Month 4
Answer:
Option D: Month 4
Step-by-step explanation:
We are given the functions;
f(x) = 3^(x)
And g(x) = 7x + 6
We want to find the month when f(x) > g(x)
Thus;
3^(x) > 7x + 6
For option A, month 1 means x = 1.thus;
LHS is 3¹ = 3
RHS = 7(1) + 6 = 13
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option B, month 2 means x = 2. thus;
LHS is 3² = 9
RHS = 7(2) + 6 = 20
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option C, month 3 means x = 3. thus;
LHS is 3³ = 27
RHS = 7(3) + 6 = 27
Our LHS IS equal to the RHS and not greater than RHS as the question demands, thus this option is not correct
For option D, month 4 means x = 4. thus;
LHS is 3⁴ = 81
RHS = 7(4) + 6 = 34
Our LHS is greater than RHS as the question demands, thus this option is correct
What is this problem: It is also a rational function. 6 / x^2 - 9 - 1 / x - 3 = 1 Answers: A) -1+-sqr(73) / 2 B)-4 C)2 D)3 or -4
Answer: B)-4
Step-by-step explanation:
The given equation: [tex]\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1[/tex]
Using identity: [tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3][/tex]
Hence, the solution is : x=-4
The correct option is B.
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of .5 m/s2. What is her final velocity?
If Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s². then 12.25 m/s is the final velocity.
What is Velocity?Velocity is the distance covered by an object in unit time.
Given that,
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s²
a=0.5 m/s²
s is distance=35-20=15
We have a formula with velocity, acceleration and distance
Now v²=2as
Here v is velocity=2
a is acceleration=5
s is the distance.=15
v²=2×5×15
The multiplication value of 2×5×15 is 150.
v²=150
Take square root on both sides
v=√150
v=12.25 m/s
Therefore final velocity is 12.25m/s.
To learn more on velocity click:
https://brainly.com/question/18084516
#SPJ2
Write this whole number as a product of prime numbers.
56
Answer:
The prime factorization of 56 is 2 * 2 * 2 * 7. This can also be written with exponents as 2^3 * 7.
Step-by-step explanation:
Solve for x. Round your answer to 2 decimal places.
Answer:
93.99
Step-by-step explanation:
sin rule is:
sin A ÷ a = sin B ÷ b = sin C ÷ c
A B C are angles
a b c are the lengths opposite to each angle
to find angle opposite to x:
180- (90+57) = 33°
180: sum of angles in a traingle
90: since its a right angle traingle
to find x:
sin 57 ÷ 41 = sin 33 ÷ x
rearrange:
x= (sin 33 x 41) ÷ sin 57
x= 93.99 (2 d.p/2 decimal places)
Evaluate
2-8÷-2-3-12÷-6×-2
Answer:
7
Step-by-step explanation:
2-8÷-2-3-12÷-6×-2
2 - -4 - 3 - 2 x -2
2 + 4 + -3 - -4
6 + -3 + 4
3 + 4
7 :)
the product of 5 and a number is at least 20
this is the best thing i could find for you, good luck with your question,
5x is greater than or equal to -25
The product of 5 and a number is at least –25
we convert the given statement into inequality
product means multiplication
Let x be the unknown number
product of 5 and a number is 5x
5x is at least -25
For word at most we use <=
for word at least we use >=
So the expression becomes 5x <= -25
Pls help me with this math question. Explain your thinking pls.
Answer:
D.
Step-by-step explanation:
Compared to the others, it looks that steepest
Answer:
D by looking at it, it looks steeper
Step-by-step explanation:
I don’t understand this
Answer:
3 to 1
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
OA' : OA
= 27 : 9 ( divide both parts by 9 )
= 3 : 1
1/3 divided by 4
2/5 divided by 4
4/7 divided by 4
2/5 divided by 3
5/6 divided by 5
5/8 divided by 10
Answer:
1. 0.0833
2. 0.1
3. 0.1428
4. 0.1333
5. 0.1666
6. 0.0625
help please, i’m having trouble with this
Answer:
88
Step-by-step explanation:
88 Degrees
Answer:
92
Step-by-step explanation:
Corresding angles
A Petri dish is growing bacteria. It starts with 3 cells on day 1, 9 cells on day 2, and continues tripling the number of cells every day after that. How many cells of bacteria are there on day 5? 3 5 5 3 15 18
Answer:
243
Step-by-step explanation:
Given that:
Day 1 = 3
Day 2 = 9
After the 2nd day, number of cells continue to triple ;
Day 3 = 9^3
P(t) = 9 * 3^3
P(t) = 9 * 27
= 243
Your kite is stuck in a tree that is 40 feet tall. The angle your string makes with the ground is 72°. Rather than worrying about the kite, you decide to calculate how much string you have let out. Assuming the string is held tight and makes a straight line to the ground, how much string have you let out?
Answer:
42 feet of string
Step-by-step explanation:
First, draw a diagram of the string, the height and the angle.
the length of the string is equal to the hypotenuse of the triangle
let length of the string=x
sin(θ)=opp/hyp
sin(72°)=40ft/x
x=40ft/sin(72°)
x=42.05848897ft≈42ft
Find the measure of
Answer:
119 is the answer
Step-by-step explanation:
use sum of angles on a straight line
Answer:
is the 3 one (119)
Because we all know that (B) is equal to 62 and (AB is 57 and if you add 62 + 57 = 119
a car travels 180 miles in 3 hours at this rate how many miles will the? car travel in 6 hours ?
Celine flipped a coin 100 times. She
flipped heads 41 times and tails 59 times.
What is the experimental probability that
the next flip will be heads?
Answer:
1/2
Step-by-step explanation:
chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters?
Answer:
Her height would be 162.56 centimeters tall.
Step-by-step explanation:
There are 12 inches in 1 foot so that would mean that 1 foot has 30. 48 centimeters.
30.48 x 5 = 152.4
Add the 4 extra inches so 4 inches in centimeters is 10.16
152.4 + 10.16 = 162.56
The four walls and the ceiling of a cubical room need to be painted. If the height of the room is 4 m , and painting costs ₹ 20/m2 20 / m 2 , what is the total cost of painting the room?
Answer:
₹ 1920
Step-by-step explanation:
Since the room is cubical in nature, we will find the total surface area of the room
Total surface area of the cubical room = 6L²
L is the length of one side of the room
Given
L = 4m
Total surface area of the cubical room = 6(4)²
Total surface area of the cubical room = 6×16
Total surface area of the cubical room = 96m²
If the painting costs ₹ 20/m², this means;
₹ 20 = 1m²
For the total room:
x = 96m²
Divide both expressions
20/x = 1/96
x = 20×96
x = 1920
Hence the total cost of painting the room ₹ 1920
X^2 + 4x - 7x = 0
GIVE YOUR ANSWER TO THE CORRECT 2 DECIMAL PLACES
Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Thus
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Answer:
x = -5.32, x = 1.32
Step-by-step explanation:
Ok. So to use the Complete the Square method, you divide the middle value by 2 and then square the number you get. This will give:
[tex](x^{2} + 4x + (\frac{4}{2}) ^2) - (\frac{4}{2}) ^2 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 4 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 11 = 0[/tex]
[tex](x^{2} + 4x + 4) = 11[/tex] (now factor the left side)
[tex](x + 2)(x + 2) = 11[/tex]
[tex](x + 2)^{2} = 11[/tex] (now square root both sides)
[tex]\sqrt{(x + 2)^{2}} = \sqrt{11}[/tex]
[tex]x + 2 = \sqrt{11}[/tex]
[tex]x = - 2 +/- \sqrt{11}[/tex] (+/- = plus or minus)
x = -5.32, x = 1.32