HELP I WILL GIVE 50 POINTS AND BRAINLIEST TO WHOEVER ANSWERS FIRST Graph y>1−3x.
Answers
Answer:
The last graph
Step-by-step explanation:
This is because when there is a greater than sign, the line on the graph is dotted and the shaded area is facing upwards. I try to remember that when there is a greater than sign or a greater than or equal to sign, the shaded area faces up towards the sky.
Hope this helps. Please inform me if my answer is wrong.
Answer:
The last graph is correct
Step-by-step explanation:
Hello,
First of all, you need to identify the line y = -3x + 1
This is a line so two points are enough to identify it.
-3*0+1 = 1 so (0,1) is a point of this line and
-3*1 + 1 = -2 so (1,-2) is another point of this line.
I attached a graph of this line.
Now, the inequality is y > 1-3x
It means that we are looking for the part of the plan which is (strictly) above this line.
This is not ( [tex]\geq[/tex] ) inequality but a strict equality ( > ) so the points of the line are not included, so the last graph is the correct one.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Related Questions
if you apply the changes below to the quadratic parent function f(x)=x^2.which of these in the equation of the new function? shift 1 unit right ,vertically stretch by a factor of 3,reflects over x-axis
Answers
Answer:
Transformed [tex]\,\,f(x)= -3\,(x-1)^2[/tex]
Step-by-step explanation:
The process of shifting the graph of the function 1 unite to the right can be obtained by subtracting 1 to the x-coordinate in the expression of the function:
[tex]f(x)=x^2\\new\,f(x) =(x-1)^2[/tex]
The process of stretching vertically the function, would be accomplished by multiplying now the full function by "3":
[tex]new \,\,f(x)= 3\,(x-1)^2[/tex]
the reflection over the x-axis is obtained by multiplying the full function by the constant "-1":
[tex]new \,\,f(x)= -3\,(x-1)^2[/tex]
please help QUICKLY! please explain your answer, please give the correct answer
Answers
Answer:
0: 0.70561: 0.26882: 0.0256Step-by-step explanation:
When events are independent, the probability of some sequence of them is the product of the probabilities of the individual events in that sequence.
The probability of a child having spina bifida is 16% = 0.16, so the probability that the child will not have the condition is 1 - 0.16 = 0.84. The probability that 0 of 2 children will have spina bifida is ...
p(0 for 2) = p(0 for 1)×p(0 for 1) = 0.84×0.84 = 0.7056
__
There are two ways that 1 of 2 children can have spina bifida: either the first one does, or the second one does. These are mutually exclusive conditions, so their probabilities add:
p(1 for 2) = p(1 for 1)×p(0 for 1) +p(0 for 1)×p(1 for 1) = 0.16×0.84 +0.84×0.16
p(1 for 2) = 0.2688
__
There is one way both children can have spina bifida:
p(2 for 2) = p(1 for 1)×p(1 for 1) = 0.16×0.16 = 0.0256
__
In summary, our probability distribution is ...
p(X=0) = 0.7056
p(X=1) = 0.2688
p(X=2) = 0.0256
Please answer ASAP. The question is down below. thanks.
Answers
Answer:
(-2,-4)
Step-by-step explanation:
The vertex of a parabola is it's lowest (or highest, but lowest in this context) point. Your lowest point is (-2,-4), so that is your answer.
Please help ASAP! If correct will mark brainliest
Answers
Answer:
5
Step-by-step explanation:
We need to find the value of AP
First, lets compare the perimeters:
P_ABC= AB+BC+AC= 45P_ABP= AB+BP+AP = 25P_APC= AP+AC+PC= 30Sum of the perimeters of smaller triangles:
P_ABP+P_APC= AB+BP+AP+ AP+AC+PCAs BP+PC= BC we can put it as:
AB + BC +AC + 2APand
P_ABC+2APPlug in values of perimeters:
25+30= 45+ 2AP2AP= 10AP= 10/2AP= 5Answer is: 5
An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How much frozen water
is in the icicle? Use 3.14 for Round the answer to the nearest tenth
A 188.4 mm
B 980.0 mm
C 3,077.2 mm
D 9,231.6 mm
Answers
Answer:
Option C. 3077.2 mm³
Step-by-step explanation:
Data obtained from the question include the following:
Diameter (d) = 17 mm
Height (h) = 60 mm
Pi (π) = 3.14
Volume =?
Next, we shall determine the radius of the cone. This is illustrated below:
Diameter (d) = 17 mm
Radius (r) =.?
Radius (r) = diameter (d)/2
r = d/2
r = 14/2
r = 7 mm.
The radius therefore, is 7 mm.
To know how much frozen water
is in the icicle, we shall calculate the volume of the icicle using the formula for calculating the volume of a cone. This is illustrated below:
Height (h) = 60 mm
Pi (π) = 3.14
Radius (r) = 7 mm
Volume =..?
V = ⅓πr²h
V = ⅓ × 3.14 × 7² × 60
V = 3.14 × 49 × 20
V = 3077.2 mm³
Therefore, the amount of frozen water in the icicle is 3077.2 mm³
Answer:
C 3,077.2 mm
Step-by-step explanation:
Give the coordinates of each vertex (D, E, and F) and explain how you found the coordinates.
Answers
Answer:
D(-4, -3), E(-7, 4), and F(-7, -3).
Step-by-step explanation:
The current coordinates are A(4, 2), B(7, 9), and C(7, 2).
If you reflect the coordinates over the y-axis, the y-values will not be changing, but the signs of the x-values will flip. So, you will have A'(-4, 2), B'(-7, 9), and C'(-7, 2).
When you translate the resulting triangle down 5 units, the y-values will decrease by 5 units. So, the coordinates of triangle DEF will be D(-4, -3), E(-7, 4), and F(-7, -3).
Hope this helps!
Answer:
D (-4, -3)
E (-7, 4)
F (-7,-3)
Step-by-step explanation:
Well triangle ABC reflected over the y-axis to make triangle DEF looks like the image below. ↓
Then we have to translate triangle DEF 5 units down.
With the coordinates D, E, F,
D (-4,2)
E (-7,9)
F (-7,2)
To translate it 5 units down we just subtract the y coordinates by 5.
D (-4, -3)
E (-7, 4)
F (-7,-3)
Thus,
the coordinates for triangle DEF are (-4, -3) , (-7, 4) , (-7,-3).
Hope this helps :)
Which expression is equivalent to 10 to the 4 power? A.) 10 times 10 times 10 times 10 B.) 40 C.) 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 D.) 4,444,444,444
Answers
Answer:
A
Step-by-step explanation:
Here in this question, we want to select which of the options particularly represents what was given in the question.
Mathematically 10^4 means that we are raising 10 into a continued exponential raising up to 4 times.
So 10^4 is pronounced as the first option in the question.
10 raised to power 10 , raised to power 10 etc
Hi May I know how to solve this with step by step explanation please
Answers
Answer:
13.33 cm
Step-by-step explanation:
Given, ratio of volumes v ÷ V = 8 ÷ 27
This ratio is applicable to heights of same containers, as the volume is directly proportional with height (V=Ah, A- base, h- height)
So we have:
h ÷ H = 8 ÷ 27and
H=45 cmThen,
h ÷ 45 = 8 ÷ 27h = 45 × 8/27h = 40/3 = 13.33 cmAnswer:
13.33 cm
Step-by-step explanation:
Down here.
What else would need to be congruent to show that ABC= ADEF by SAS?
A. ZCE ZF
B. BC = EF
O C. ZA= ZD
D. AC = DF
Answers
Answer:
Option C.
Step-by-step explanation:
It is given that,
[tex]\overline{AB}\cong \overline {DE}[/tex]
[tex]\overline{AC}\cong \overline {DF}[/tex]
According to SAS congruence property, two triangles are congruent if they have two congruent corresponding sides and their included angles are congruent.
Angle between [tex]\overline{AB}\text{ and }\overline {AC}[/tex] is [tex]\angle A[/tex].
Angle between [tex]\overline{DE}\text{ and }\overline {DF}[/tex] is [tex]\angle D[/tex].
So, [tex]\Delta ABC\cong \Delta DE F[/tex] by SAS, if
[tex]\angle A\cong \angle D[/tex]
Therefore, the correct option is C.
Write as an algebraic expression: the product of a number and 6
i’m desperate plzzz
Answers
Answer:
6n or 6 x n
Step-by-step explanation:
YO PLZ HELP!! MARKING BRAINIEST!!
Answers
Answer:
x = 26, 16
Step-by-step explanation:
( x-21) ^2 = 25
Take the square root of each side
sqrt(( x-21) ^2) = ±sqrt(25)
x-21 = ±5
Add 21 to each side
x-21+21 = 21±5
x = 21±5
x = 21+5 and x = 21-5
x = 26, 16
Segment MP is a diameter of circle O.
Which equation can be used to find mMN?
N
O MMN + 150 = 180
M
O MMN + 150 = 360
150°
O MMN - 150 = 180
OmMN – 150 = 360
a
Answers
Answer:
mMN + 150 = 180
Step-by-step explanation:
Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.
Given that:
NO is the radius and ∠NOP = 150°.
The angle addition postulate which states that a larger angle is formed when two smaller angles are placed side by side. If two angle x and y are small angles placed side by side, a big angle Z formed is given as:
z = x + y.
Therefore in circle O, using angle addition postulate:
mMN + ∠NOP = mMP
But mMP = 180° (angle on a straight line)
mMN + ∠NOP = 180°
mMN + 150 = 180
Write 59/40 as a decimal
Answers
Answer:
1.475
Step-by-step explanation:
2 sin(2theta)
_______________
(1 + cos(2theta)) (1 –tan^2theta)
Answers
Answer:
For numerator
2sin(2∅)=2(2sin∅cos∅)
For Denominator
(1+cos(2∅))(1+tan²∅)
=(1+cos(2∅))(sec²∅)
=(1+cos²∅-sin²∅)(sec²∅)
Recall. 1-sin²∅=cos²∅
=2cos²∅(sec²∅)
=2.
Answer is...
2(2sin∅cos∅)/2
=2sin∅cos∅ or sin(2∅)
I really need help with this
Answers
Answer:
Our system of equations is:
y+2x+1=04y-4x²-12x = -7We are looking for x
Let's express y using x
y+2x+1=0y= -2x-1Replace x in the second equation with the result
4y-4x²-12x = -74(-2x-1)-4x²-12x = -7 -8x-4-4x²-12x = -7 -8x-4x²-12x = -7+4-4x²-20x = -3-4x²-20x+3 = 0 multiply by -1 to get rid of the - signs with x4x²+20x-3=04x²+20x+3=0 is a quadratic equation
Let Δ be our discriminant
a= 4b= 20c= -3Δ= 20²-4*4*(-3)
Δ=448 > 0 so we have two solutions for x
let x and x' be the solutions
x = [tex]\frac{-20-\sqrt{448} }{8}[/tex]= -5.145 ≈ -5.15x'= [tex]\frac{-20+\sqrt{448} }{8}[/tex]= 0.145≈ 0.15so the solutions are:
-5.15 and 0.15
Darrin is hanging 200 feet of Christmas garland on the fencing around his house. The fence has the shape of a rectangle and fully encloses the house and its front, side and back yards. The length is 5 feet less than 5 times the width.Find the length and width of the fencing. Give the measurements in decimal form.
Answers
Answer:
the width is 17.5 feet and the length is 82.5 feet.
Step-by-step explanation:
The house has a rectangular shape and we know that the length is 5 feet less than 5 times the width.
We will call the width x, thus, the length would be represented as 5x-5 (5 less than 5 times the width).
Since Darrin is going to hang garland around the perimeter of the house, we know that the perimeter is 2 times the length plus two times the width and this equals 200.
Let's write this in algebraic form
[tex]width = x\\length= 5x-5\\Perimeter= 2width +2length=200\\200=2(x)+2(5x-5)\\200=2x+10x-10\\200=12x-10\\200+10=12x\\210=12x\\210/12=x\\x=17.5[/tex]
Therefore, the width is 17.5 feet.
Now, the length is 5x-5, thus substituting the 17.5 in this equation we have:
[tex]5x-5=5(17.5)-5=87.5-5=82.5[/tex] feet
Therefore, the width is 17.5 feet and the length is 82.5 feet.
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99.9% confident that you estimate is within 1% of the true population proportion. How large of a sample size is required
Answers
Answer: 27061
Step-by-step explanation:
given that Р = 0.5
so
1 - P = 1 - 0.5 = 0.5
ERROR OF MARGIN E = 0.01
SIGNIFICANCE LEVEL α = 1 - confidence level
α = [(1 - (99.9/100)] = 0.0010
α / 2 = 0.001 / 2 = 0.0005
Zα/2 = Z0.0005 = 3.29 (using the Z table )
therefore
Sample size n = ((Zα/2) / E)² * P * (1 - P )
Sample size n = (3.29 / 0.01)² * 0.5 * 0.5
Sample size n = 108,241 * 0.5 * 0.5
Sample size n = 27,060.25 ≈ 27,061
Answer:
sample size should be atleast n= 27069
Step-by-step explanation:
Given that,
confident level(CI) = 99%= 0.999
desired marginal error=1%= 0.01
note: marginal error = length of CL/2
significant level α = 1 - confident level = 1 - 0.999= 0.001
critical value = Zα/2 = Z(0.001/2) = Z0.0005( value of from z table) = 3.2905267
since we don't have preliminary estimate, p' = 0.5, which is require for maximum value
n = p' × (1 - p')(critical value/desired marginal)²
n= 0.5 × 0.5(3.2905267/0.01)²
n = 27068.91
the value of n has to be an integer = 27069
Find an equation of the line that passes through the point (2, 1) and
is perpendicular to the line x + 2y=-2
Answers
Answer:
2x - y = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + 2y = - 2 ( subtract x from both sides )
2y = - x - 2 ( divide all terms by 2 )
y = - [tex]\frac{1}{2}[/tex] x - 1 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2 , thus
y = 2x + c ← is the partial equation
To find c substitute (2, 1) into the partial equation
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = 2x - 3 ← equation in slope- intercept form
add 3 to both sides
y + 3 = 2x ( subtract y from both sides )
3 = 2x - y, thus
2x - y = 3 ← equation in standard form
]
Find the mean of the following data set. 8, 5, 15, 12, 10 12.5 10 14 50
Answers
Answer:
10
Step-by-step explanation:
8+5+15+12+10= 50 / 5 = 10
Simplify the expression: (− 2/3 pq^4)^2·(−27p^5q)
Answers
Answer:
-12p^7q^9
Step-by-step explanation
-\left(-\frac{2}{3}pq^4\right)^2\cdot \:27p^5q
-27\cdot \frac{2^2p^2q^8}{3^2}p^5q
Multiply the fractions
\frac{2^2p^2q^8\cdot \:27p^5q}{3^2}
-\frac{2^2\cdot \:27p^7q^9}{3^2}
-2^2\cdot \:3p^7q^9
NEED HELP ASAP!! IF YOU KNOW HOW TO DO IT GO AHEAD BUT IF YOU DONT, DONT ANSWER
Answers
Answer:
the second one.its a parallelogram
What is the length of segment AB?
12
10-B
8-
6
А
2-
0
0
-10-8-6-4
- 2
2
4
6
8 10
--2-
<
05
06
O8
10
ous Question
Answers
Answer:
[tex]AB = 10 units[/tex]
Step-by-step explanation:
The line of segment AB can be calculated using distance formula, [tex] d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} [/tex] , to calculate the distance between point A(6, 2) and point B(0, 10).
A(6, 2) can be (x1, y1),
B(0, 10) can be (x2, y2)
[tex] d = \sqrt{(0 - 6)^2 + (10 - 2)^2} [/tex]
[tex] d = \sqrt{(-6)^2 + (8)^2} [/tex]
[tex] d = \sqrt{36 + 64} [/tex]
[tex] d = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Find the m∠CDE rjrsjrsrjr
Answers
Answer:
m∠CDE = 60°
Step-by-step explanation:
Given that the arc at the center = 2 times the arc at the circumference, we have;
Angle at the center = arc CE = 120°
Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE
We note that m∠CDE is the acute angle between chord DC and DE
Therefore, we have;
Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE
120° = 2 × m∠CDE
m∠CDE = 120/2 = 60°
Therefore the angle of m∠CDE is equal to 60°.
How many times larger is 74 than 30?
Answers
Answer:
approximately 2.46
Step-by-step explanation:
Answer:
2.4666666666
Step-by-step explanation:
To Find How Much Larger Or Smaller Any Given Number Is To Another, Do (#1)/(#2). In This Case, 74/30 Into Google Does A Quick Job Of This Question!
Find the median, mean and mode of : 0,2,2,4,4,6,6,6,6 pls show working
Answers
Answer:
Step-by-step explanation:
The median is 4, which is the middle number. If there is no middle number, get the average of the two numbers closest to the median.
The mean is 4, which is the average of all the numbers. you add all of them up and divide by how many integers there are in the list.
The mode is 6, which is the integer that is shown the most.
Answer:
mean=4
median=4
mode=6
Step-by-step explanation:
Mean: add 0+2+2+4+4+6+6+6+6=36
36/ (the amount of numbers) 9= 4
Median: cross out the numbers left to right until you get to the middle which is 4.
Mode: 6 occurred four times, which is the most out of any of the other numbers in this sequence, so the answer is 6.
Draw a diagram of this statement,
Fifteen thousand dollars was raised by the booster club. This was two thirds of
the goal.
Use your diagram to determine the percent by which the booster club fell short of their goal
Answers
Answer:
The percentage by which the booster club fell short is 33% as shown on the chart
Step-by-step explanation:
To represent the given data pictorially, a pie chart is suitable
The circumference of the pie chart will represent the amount to be raised by the booster club and a sector of the circle which is two-thirds of the circumference represents the amount raised
Given that the amount raised = 2/3×Goal = $15,000, we have;
We represent the amount raised as a sector of the circle as follows;
Sector angle = 2/3×360° = 240°
Total sector of goal amount = Entire circle = 360°
Amount club fell short = 360° - 240° = 120°
The goal amount = 3/2 × $15,000
Percentage by which the club fell short = 120/360×100 = 1/3×100 = 33.33%
What is the slope of the following graph? M=
Answers
Answer:
-2/3
Step-by-step explanation:
We have two points ( 0,3) and ( 3,1)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (1-3) /(3-0)
= -2/3
Answer:
-2/3
Step-by-step explanation:
Two points are given on the graph:
(0, 3) and (3, 1)
Use slope formula.
m = rise/run
m = (y₂ - y₁)/(x₂ - x₁)
x₁ = 0
y₁ = 3
x₂ = 3
y₂ = 1
m = (1 - 3)/(3 - 0)
m = -2/3
The slope of the line is -2/3.
The vertices of a triangle are A(0,3) B(-2,-4) and C(1,5) find the new vertices
Use the rule (x,y) (x-2,y+4) to translate each vertex.
Answers
Answer:
see explanation
Step-by-step explanation:
Using the translation rule (x, y ) → (x - 2, y + 4 )
Subtract 2 from the original x- coordinate and add 4 to the original y- coordinate, thus
A(0, 3 ) → A'(0 - 2, 3 + 4 ) → A'(- 2, 7 )
B(- 2, - 4 ) → B'(- 2 - 2, - 4 + 4 ) → B'(- 4, 0 )
C(1, 5 ) → C'(1 - 2, 5 + 4 ) → C'(- 1, 9 )
help me plzzzzz help
Answers
Answer:
90000 km
Step-by-step explanation:
1 hour = 3600 sec
distance = speed x time
= 25 km/s x 3600 s
= 90000 km
standard form = 9 x 10⁴
Which transformations can be used to carry ABCD onto itself? The point of rotation is (3, 2). Check all that apply. A. Reflection across the line y = 2 B. Rotation of 180 C. Rotation of 90 D. Translation two units up
Answers
Answer: rotate 180 degrees and reflection across the line y=2
Step-by-step explan
Answer:
Step-by-step explanation: