Answer:
A is the answers for the question
Step-by-step explanation:
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Question 9 of 10
If you vertically compress the absolute value parent function, F(x) = |x|, by
multiplying by 3/4 what is the equation of the new function?
A: G(x)= |x+3/4|
B: G(x)= 3/4 |x|
C: G(x)= |x|-3/4
D: G(x)= |3/4 x|
Answer:
B. g(x) = 3/4|x|
Step-by-step explanation:
Multiplying the function by a number in front will stretch, compress, and/or reflect the function over the x-axis.
So if the number in front is negative that will flip it upside down, over the x-axis.
If the number is greater than 1, the function will be vertically stretched, narrower, slimmer, skinnier, taller.
In this case, the graph is vertically compressed, making it flatter, fatter, wider smashed. In this case is where the number multiplied in front of the parent function is LESS than one.
g(x) = 3/4 |x|
Which operation should be completed first to find the value of the expression below? 12 + 30/ (6 - 3) + 1
12 + 30
30 ÷ 6
3 + 1
6 - 3
The operation that should be completed first to find the value of the expression is 6 - 3
How to determine the first operation?The expression is given as:
12 + 30/(6 - 3) + 1
When solving an expression;
All expressions in the bracket must be first evaluated
This means that the operation that should be completed first is 6 - 3
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口 6. Write the following inequality in slope-intercept form.
-6x + 3y ≥ -45
O
O
O
O
y≤ 2x + 15
y≤ 2x - 15
y≥ 2x - 15
y≥ 2x + 15
Answer:
[tex]y = mx + b[/tex]
[tex]y \geqslant 2x - 15[/tex]
I hope this helps
is 0.9999 really the same as 1
Answer:
No but on a calculator it will just be rounded up. If 0.99999 was 1, maths would be pretty much useless.
Answer:
no the value tends to go to 1 but it is not exactly one.
what are the ways to determine if a relation is a function? select EACH correct answer
Answer:
the two selected are correct.
Step-by-step explanation:
A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point. You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function. The best way to find out whether an equation represents a function or not is by graphing the equation and then applying the vertical line test. Graph the two-variable equation on graph paper. For a straight line this means graphing two or more points on the line and connecting the dots.
Consider the functions below.
f(x) = x² - 6x - 27
g(x) = x - 9
It+is+said+60%+of+families+own+a+pet. +of+a+sample+of+95+families,+70+owned+pets. +perform+a+hypothesis+test+to+determine+whether+the+percent+of+families+who+own+pets+is+different+than+60%
There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
It Is said That 60% of families own a pet.
Of a sample of 95 families, 70 owned pets.
Whether the percent of families who own pets is different than 60%.
Let P be a proportion of the family who owns pets
Then by the test, we have
H₀: P = 0.60
Hₐ: P ≠ 60
Then by the test statistic, we have
[tex]z_o = \dfrac{\bar{P} - P_o}{\sqrt{\dfrac{P_o(1 - P_o)}{n}}}[/tex]
Where
[tex]\bar P[/tex] = sample proportion
P₀ = hypothesis proporion
n = sample size
Then we have
[tex]\bar P[/tex] = x/n
[tex]\bar P[/tex] = 70/95
[tex]\bar P[/tex] = 0.74
Then the test statistic will be
[tex]z_o = \dfrac{0.74-0.60}{\sqrt{\dfrac{0.60(1-0.60)}{95}}}[/tex]
z₀ = 2.785
Then the critical region will be
Critical value = ± [tex]z_{\alpha /2}[/tex]
α = 0.05
α/2 = 0.025
Then we have
z₀.₀₂₅ = 1.96
Then the critical value will be
Critical value = ± 1.96
We reject if [tex]|z_o| > |z_{\alpha /2}|[/tex]
We have
[tex]|z_o| > |z_{\alpha /2}|\\[/tex]
2.79 > 1.96
We reject the null hypothesis at a 5% significance level.
There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.
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On saturdays, elliott practises the piano, walks his dog, does his homework, and cleans his room. use an organized list to show all the possible orders in which elliott can do these tasks.
The possible orders in which Elliott can do these tasks is 24
What is Permutation ?
Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.
P(n,r) = n! / (n-r)!
As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)
4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways
ABCD ABDC
ACBD ACDB
ADBC ADCB
This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .
Similarly for other 3 works , total 24 possible orders can be followed.
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What is another name for an X-Value
9TH GRADE ALGEBRA 1
A-output values
B- range
C- domain
D- function
Answer:
see explanation
Step-by-step explanation:
the set of x- values ( the input ) are called the domain
Answer:
domain
Step-by-step explanation:
as the y values is the range
Triangle ABC is a right triangle. The length of one of the legs is 12 centimeters, and the length of the hypotenuse is 20 centimeters. What is the length of the other leg?
Answer: 16 centimeters
Step-by-step explanation:
We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.
a² + b² = c²
12² + b² = 20²
144 + b² = 400
b² = 256
b = [tex]\sqrt{256}[/tex]
b = 16
The length of the other leg is 16 centimeters.
Answer:
The other leg is 16 cm long.
Explanation:
Use the Pythagorean theorem:
[tex]c^2=a^2+b^2[/tex],
where:
[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).
Let [tex]a=12[/tex] [tex]cm[/tex]
Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.
[tex]b^2=c^2-a^2[/tex]
[tex]b2=(20 cm)^2-(12 cm)^2[/tex]
Simplify.
[tex]b^2=400 cm^2-144cm^2[/tex]
[tex]b^2=256 cm^2[/tex]
Take the square root of both sides.
[tex]b=\sqrt{256cm^2}[/tex]
Simplify.
[tex]b=16[/tex] [tex]cm[/tex]
what is the value of x
Answer:
Should be 60°
Step-by-step explanation:
Since each interior angle in an octagon is 120°, you would subtract 120° from 180° (which is the angle of a line). This would get you 60 °.
Four lines are drawn on a coordinate plane to form trapezoid wxyz. Which statements are true about the lines? Select three options
The statements that are true for Trapezoid WXYZ are:
Line WZ has the same slope as line XY.Line XW has a lesser slope than line YZ.Line ZW has the same y-intercept as line WZ.Line XY has a greater y-interceptHow to Interpret Line Coordinates?
We are told that;
Shape is a trapezoid WXYZ.
Now, In a trapezoid, one pair of opposite sides are parallel and parallel lines have the same slope.
Lastly, the slope of line parallel to x axis is 0 and so If the line starts at the bottom left and goes towards the top right it has negative slope. Thus, all the statements that are true for Trapezoid WXYZ are:
Line WZ has the same slope as line XY.Line XW has a lesser slope than line YZ.Line ZW has the same y-intercept as line WZ.Line XY has a greater y-interceptComplete question is;
Four lines are drawn on a coordinate plane to form trapezoid WXYZ. Which statements are true about the lines? Select all that apply.
Line WZ has the same slope as line XY.
Line YX has a greater slope than line ZY.
Line XW has a lesser slope than line YZ.
Line ZW has the same y-intercept as line WZ.
Line XY has a greater y-intercept than line XW
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If anyone know how to solve this please help!!
this my last slide to finish
solve this please!!
Answer:
Area=18ft^3 Surface Area=44ft^2
Step-by-step explanation:
The formula for area of a rectangular prism is A=lwh. So you just plus that in
Answer:
Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space
Step-by-step explanation:
Please see attached explanations.
Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.
Volume is the length multiplied by the width multiplied by the height.
By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.
does someone mind helping me with this problem? Thank you!
Answer:
78
Step-by-step explanation:
= 12 x^2 - 30 put in ' - 3 ' for 'x'
= 12 ( -3 )^2 - 30
= 12 (9) - 30 = 78
Answer:
78
Step-by-step explanation:
Expression:
6(2x² - 5)Evaluate x = 3 according to the question:
[tex]6 \{2 (- 3) {}^{2} - 5) \}[/tex]
Solve this problem, applying PEMDAS.
[tex]6 \{2( - 3 \times - 3) - 5 \}[/tex][tex]6 \{2(9) - 5 \}[/tex][tex]6 \{18 - 5 \}[/tex][tex]6 \{13 \}[/tex][tex]78[/tex]Hence,the answer to the given expression is 78.
-Regards,Hannah :)
geometry please help (pentagons)
Answer:
144
Step-by-step explanation:
540 degrees is the sum of angles in a pentagon
Divide 540 by 5(number of sides) =108(interior angle)
Since there are two pentagons you do 108 X 2 = 216 degrees
Do 360 - 216 = 144
so your answer is right
The scatter plot shows the relationship between the saturation specific humidity, in grams per kilogram of air, and the ambient temperature, in degrees celsius, of the atmosphere. which type of relationship would best model this data?
By critically observing the scatter plot (see attachment), the type of relationship that would best model this data is positive nonlinear.
The types of relationship in a scatter plot.In Statistics, there are four (4) main types of relationship (association) in a scatter plot and these include the following:
Positive linear association.Negative linear association.No association (None).Non-linear association.By critically observing the scatter plot shown in the image attached below, we can logically deduce that the type of relationship that would best model this data is positive nonlinear because the change in one of the variables doesn't result in a constant change in other variables.
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What is the solution for x in the equation?
x-3/7=2x-25/7
Step-by-step explanation:
please mark me as brainlest
Answer: x = 4/3
Step-by-step explanation: I just answered the answer
Two number cubes are rolled for two separate events:
Event A is the event that the sum of numbers on both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Find the conditional probability of B given that A occurs first.
Enter your answer as a simplified fraction.
Using it's concept, it is found that the conditional probability of B given that A occurs first is of [tex]p = \frac{3}{10}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
When two dice are rolled, we have these 36 outcomes:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)Of those, 30 involve a sum of less than 10, and of those 30, 9 involve a sum that is multiple of 3(either 3, 6 or 9), hence the probability is given by:
[tex]p = \frac{9}{30} = \frac{3}{10} = 0.3[/tex]
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Find the center and radius of the circle whose equation is x2 + y2 + 8x - 2y + 15 = 0
(4, 1) r = 2
(-16, 1), r = 4
(-4, 1),
(-4, -1),
The equation represents a circle whose center is (-4, 1) and has a radius r = √2
How to find the center and radius of the circle?We have the equation:
[tex]x^2 + y^2 + 8x - 2y + 15 = 0[/tex]
We can rewrite this as:
[tex](x^2 + 8x ) + (y^2 - 2y ) + 15 = 0\\\\\\\\(x^2 + 8x + 16) - 16 + (y^2 - 2y + 1) - 1 + 15 = 0\\\\(x + 4)^2 + (y - 1)^2 - 16 - 1 + 15 = 0\\\\(x + 4)^2 + (y - 1)^2 = 2[/tex]
Where we just completed squares.
Comparing this with the general circle equation, we can see that the center is the point (-4, 1) and the radius is √2.
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which of the following is located over the center of the base of a regular pyramid
A vertex
B slant height
C face
D edge
Vertex is located over the center of the base of a regular pyramid.
What is Vertex Angle?
Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.
Here, Vertex is the point which is located over the center of the base of a regular pyramid.
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If LN = 12x + 16, what is the length of Line segment L N in units?
Answer:
LN = 64 units
Step-by-step explanation:
Given M lies on LN, so LN = LM + MN --------------(1)
LN = 12x + 16
LM = 10x + 8
MN = 5x - 4
Substituting the values in equation 1, we get:
12x + 16 = (10x + 8) + (5x - 4)
12x + 16 = 15x + 4
15x - 12x = 16 -4
3x=12
Therefore x=4
LN= 12(4) + 16 = 64 units
A candy is in the shape of a sphere. The candy has a radius of 1.5 centimeters. Which of the following is closest to the volume of the candy? (Use 3.14 for π.)
Answer:
The answer would be 14 cm
[tex]V = \frac{4pi(1.5)^3}{3}[/tex]
[tex]4.5pi = 14.3[/tex]
(pi = π)
Your welcome :)
Answer:
14 cm
Step-by-step explanation:
THE SIMPLE ANSWER
factor 5v^2 - 23v - 10
Answer:
[tex](5v + 2)(v - 5)[/tex]
Step-by-step explanation:
Hello!
The expression is written in the form of [tex]ax^2 + bx + c[/tex]
Let's factor by grouping:
[tex]ac = -50[/tex]
The sum of the factors of -50 should add up to -23.
-25 and 2 work for this.
Expand and factor:
[tex]5v^2 - 23v - 10[/tex][tex]5v^2 - 25v + 2v - 10[/tex][tex]5v(v - 5) +2(v -5 )[/tex][tex](5v + 2)(v - 5)[/tex]The factored expression is [tex](5v + 2)(v - 5)[/tex]
Need help due tmr this is linear relationships
wright the follwing in decimlal form:25/8
Answer:
25/8 in decimal form is 3.125.
Step-by-step explanation:
I hope this helps! :)
Pls Help, Will Give Brainlest
Answer:
19.1 ft³
Step-by-step explanation:
Hello!
Volume of a cylinder: [tex]V = \pi r^2h[/tex]
V = volumeπ = pi (3,14)r = radiush = heightWe can plug in the values and solve.
Solve[tex]V = \pi r^2 h[/tex][tex]V = (3.14)(1.5)^2(2.7)[/tex][tex]V = (3.14)(2.25)(2.7)[/tex][tex]V = 19.0755 \approx 19.1[/tex]The volume is approximately 19.1ft³
Step-by-step explanation:
[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]
[tex] \sf Radius_{\blue{cylinder}}=1.5 \: feet[/tex][tex] \sf Height_{\blue{cylinder}}=2.7 \: feet[/tex][tex]\pink{\large{\underline{\underline{\sf To\:find:-}}}}[/tex]
[tex] \sf Volume_{\blue{cylinder}}=?[/tex][tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]
We know that,
[tex]\underline{\boxed{\sf Volume_{cylinder}=πr^2h}}[/tex]
[tex]\longmapsto \sf 3.14×(1.5)^2×2.7[/tex]
[tex]\longmapsto \sf 3.14×2.25×2.7[/tex]
[tex]\longmapsto \sf 3.14×6.075[/tex]
[tex]\longmapsto \sf 19.0755≈19.1\: cubic\:feet[/tex]
Question
What expression represents the area of the square?
(3x-2)^2
squares area is 2 times its side length, since all the sides are the same. if the side length is 3x-2, take its second power
Need help with this math question
Hey there!
Answer :[tex] \displaystyle{\orange{\boxed{\bold{\green{d = -5}}}}}[/tex]
[tex] \\ [/tex]
Explanation:[tex] \displaystyle{ \frac{4}{5}d + 3 = -2 - \frac{1}{5}d} \\ [/tex]
[tex] \hookrightarrow [/tex] Subtract 3 from both sides :
[tex] \\ \displaystyle{ \frac{4}{5}d + 3 \bold{ \red{ - 3} }} = \displaystyle{ - 2 - \frac{1}{5}d \bold{ \red{ - 3}} } \\ \\ \implies \displaystyle{\frac{4}{5}d = - \frac{1}{5}d - 5 } \: \: \: \: [/tex]
[tex] \\ \hookrightarrow [/tex] Add [tex] \frac{1}{5}d [/tex] to both sides :
[tex]\\ \displaystyle{\frac{4}{5}d \: \bold{ \blue{ + \frac{1}{5}d }} = \displaystyle{ - \frac{1}{5}d - 5 \: \bold{ \blue{ + \ \frac{1}{5}d }}}} \\ \\ \implies \displaystyle{\frac{5}{5}d = - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \displaystyle{\green{ \boxed{ \orange{{d = - 5}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Therefore, our answer is d = -5
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add [tex]\bf{\frac{1}{5}d }[/tex] on both sides.
[tex]\boldsymbol{\dfrac{4}{5}d+3+\dfrac{1}{5}d=-2 }[/tex]
combine [tex]\bf{\frac{4}{5}d }[/tex] and [tex]\bf{\frac{1}{5}d }[/tex] to get d.
[tex]\boldsymbol{d+3=-2}[/tex]
Subtract 3 from both sides.
[tex]\boldsymbol{d=-2-3}[/tex]
Subtract 3 from −2 to get −5.
[tex]\boxed{\boldsymbol{d=-5}} \ \ \to \ \ \bf{Answer}[/tex]
VerificationLet d=-5.
[tex]\sf{\dfrac{4}{5}\times-5+3=-2-\dfrac{1}{5}\times-5 }[/tex]
[tex]\rm{Apply \ this \ rule:\dfrac{a}{b}\times c=\dfrac{ac}{b} }[/tex]
[tex]\sf{\dfrac{4\times-5}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Multiply \ 4 \ by \ -5 }[/tex]
[tex]\sf{\dfrac{-20}{5}+3=-2-\dfrac{1}{5}\times-5 }[/tex]
[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left. }[/tex]
[tex]\sf{-\dfrac{20}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Simplify \ \frac{20}{5} \ to \ 4. }[/tex]
[tex]\sf{-4+3=-2- \dfrac{1}{5}\times-1 }[/tex]
[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left.}[/tex]
[tex]\sf{-4+3=-2-(-1) \ \ \to \ \ Simplify \ -4+3 \ to \ -1. }[/tex]
[tex]\sf{-1=-2-(-1) \ \ \to \ \ \to \ \ Remove \ parentheses. }[/tex]
[tex]\sf{-1=-2+1 \ \ \to \ \ Simplify \ -2+1 \ to \ -1.}[/tex]
[tex]\sf{-1=-1 \ \to \ Equality \ is \ met.}[/tex]
Checked ✅
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Find the length of the midsegment of each trapezoid.
12)
Answer: 25
Step-by-step explanation:
[tex]\frac{23+27}{2}=\boxed{25}[/tex]
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room. how many quarts of paint did mieko use in the living room?
The number of quarts of paint did mieko use in the living room is A = 3 quarts
Given data ,
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room
Now , on simplifying the equation , we get
Two gallons of paint is equal to 8 quarts (2 x 4 = 8)
Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)
She used 3 quarts of paint on the hallway
Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway
Therefore , she used 8 - 5 = 3 quarts of paint in the living room
Hence , the number of quarts is A = 3 quarts
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