Answer: y=-1/2x+1
Step-by-step explanation: plug in numbers to find y intercept (b).
-1=-1/2(4)+b
-1=-2+b
b=1
y=-1/2x+1
Help help help help please Heldon 30 Points
Answer:Rotation then a translation
Step-by-step explanation: rotate 90 degrees clockwise around center J. Then translate 3 to the right, 2 down
Solve the inequality.
3x+6<3(x-7)
Simplify both sides of the inequality.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6 < 3x-21 } \end{gathered}$} }[/tex]
Subtract 3x from both sides.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6-3x < 3x-21-3x } \end{gathered}$} }[/tex][tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{6 < -21 } \end{gathered}$} }[/tex]Subtract 6 from both sides.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{6-6 < -21-6 } \end{gathered}$} }[/tex][tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{0 < -27} \end{gathered}$} }[/tex]
There are no solutions.Standard form: x ∈ ∅Answer:
0 < - 27
Step-by-step explanation:
1. Distribute
3x + 6 < 3(x-7)
3x + 6 < 3x - 21
2. Subtract 6 from both sides
3x + 6 < 3x - 21
3x + 6 - 6 < 3x - 21 - 6
3. Simplify
subtract
3x + 6 - 6 < 3x - 21 - 6
3x < 3x - 21 - 6
subtract
3x < 3x - 21 - 6
3x < 3x - 27
4. Subtract 3x from both sides
3x < 3x - 27
3x - 3x < 3x - 27 - 3x
5. Simplify
combine like terms
3x - 3x < 3x - 27 - 3x
0 < 3x - 27 - 3x
0 < 3x - 27 - 3x
0 < - 27
And that is how you get your answer
Name:Unit 4: Congruent TrianglesHomework 4: Congruent TrianglesDate:Per:** This is a 2-page document! **1. Write three valid congruency statements given the triangles below.тHDa)b)MD-Wc)Directions: Given the congruency statement, list all congruent angles and sides,2. ΔΑΒΕ ΔΜΝΡ3. AQRY AJLSAnglesSidesAnglesSidesWrite another valid congruency statement:Write another valid congruency statement:4. Given ASTU AKLM, complete each of the following statements.Ua) TITd) MALIST
Firstly, congruent angles are equal
The three statements are
1. Triangle PTW = Triangle HGD
2. Triangle WPT = Triangle DHG
3. Triangle TWP = Triangle GDH
From the figures, it was observed that they are similar
When you look at the figures very well
You will observed that Triangle PTW is Similar to triangle HGD
They both have similar properties
Complete the tables of values for x+2y =7
Help me please will give brainlist
Answer:
1
5
Step-by-step explanation:
y = mx + b
b = -5 (the y-intercept)
m = 1/1 = 1
y = x - 5
if the base of a rectangle is 12cm and the area is 345 cm², what is the height of the rectangle
Answer: 28.75 cm
Step-by-step explanation:
Using the formula for the area of a rectangle, we can plug in our known values and solve for the height.
A = B * H
(345 cm²) = (12cm) * H
28.75 cm = H
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4/x-2 + 3/x-3 = 5
X=
X=
Note: the answers have to be either integers or decimals
Answer:
x = 4 , x = 2.4
Step-by-step explanation:
[tex]\frac{4}{x-2}[/tex] + [tex]\frac{3}{x-3}[/tex] = 5
multiply through by (x - 2)(x - 3)
4(x - 3) + 3(x - 2) = 5(x - 2)(x - 3)
4x - 12 + 3x - 6 = 5(x² - 5x + 6)
7x - 18 = 5x² - 25x + 30 ( subtract 7x - 18 from both sides )
0 = 5x² - 32x + 48
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 48 = 240 and sum = - 32
the factors are - 20 and - 12
use these factors to split the x- term
0 = 5x² - 20x - 12x + 48 ( factor the first/second and third/fourth terms )
0 = 5x(x - 4) - 12(x - 4) ← factor out (x - 4) from each term
0 = (x - 4)(5x - 12)
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
5x - 12 = 0 ⇒ 5x = 12 ⇒ x = 2.4
f(n) = 3 to the power of n
f(-1) =
The answer to the function as provided that f(n) = 3 to the power of n can thus, solving the linear function as n for -1 we get the answer.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A statement, rule, or law that establishes a relationship between an independent variable and a dependent variable in mathematics (the dependent variable) is said as a function.
f[n]= [tex]3^n[/tex]
And find f(-1)
So put -1 in place of n
thus f[-1] = [tex]3^{-1[/tex]
=1/3
=0.33
In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
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Question 3 options:
Premises:
If you have a cat, then it will chase mice.
You have a cat.
Conclusion:
Your cat will chase mice.
The Law of
The law of mathematical logic that was used to derive the given conclusion is; Law of Syllogism
What is the Law of Syllogism?The law of syllogism is defined as a type of logical argument using deductive reasoning.
Now, In mathematical logic, the Law of Syllogism states that if the following two statements are true:
(1) If d , then e .
(2) If e , then f .
Then we can derive a third true statement:
(3) If d , then f .
Now, applying that law to our question, we see that;
1) If you have a cat, then it will chase mice.
2) You have a cat.
Then we can derive a third true statement:
3) Your cat will chase mice.
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(Geometry 1)
#14 please answer quickly❗️
Why do you think 900km is less than the perimeter of the of Bhutan (about 1075km)?
900km is less than the perimeter of the of Bhutan about 1075km.
Describe perimeter.The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. The surface of a shape's area is measured.
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are the following solutions to the equation y=1/3x-2?
Answer: y-intercept (0,−2) and the slope is 1/3
Would you be able to help me on this question
a) From the exercise we can identify 3 unknowns from the 3 funds
• Large Growth = ,LG
,• Small Growth = ,SG
,• Large Value = ,LV
b)
[tex]\begin{gathered} LG+SG+LV=10,000\to(1) \\ LG=SG+2,000\to(2) \end{gathered}[/tex]Is x = 6 a solution to the equation 5(x - 3) = x + 13?Follow the steps to find out.1. Rewrite the equation 5(x - 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true.Write your answer in the space below. 2. Simplify both sides. Show your work.Write your answer in the space below.3. Is x = 6 a solution to the equation? Why or why not? Write your answer in the space below.4. Find a value of x that is a solution to 5(x-3) = x + 13.Write your answer in the space below.
The given equation is
5(x - 3) = x + 13
We want to test if x = 6 is a solution. We would substitute x = 6 into the equation. We have
5(6 - 3) = 6 + 13?
5(3) = 6 + 13?
15 = 19?
Since both sides of the equation is not equal, then
x = 6 is not a solution of the equation
Ashley is a software saleswoman. Her monthly salary is $2200 plus an additional $40 for every copy of math is fun she sells. Let S represent her total salary (In dollars), and let N represent the number of copies of math is fun she sells. Write an equation relating S to N and then graph your equation using the axes below
The equation of S in terms of N is S(N) = 2200 + 40N
How to determine the equation that relates S to NFrom the question, the given parameters are
Monthly salary = $2200
Additional earnings = $40 per copy of Math fun sold
The equation that relates S to N is then calculated as
Total = Monthly salary + Additional earnings x Number of copy of Math fun sold
Substitute the known values in the above equation
So, we have
S(N) = 2200 + 40N
So, the equation is S(N) = 2200 + 40N
See attachment for the graph
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What is the geometric definition of this angle?
Answer: It is obtuse
Step-by-step explanation: the angle looks greater than 90 degrees :)
Which scatterplot would have a trend line with a negative slope?
On a graph, points are scattered all over the graph.
On a graph, points are grouped together and decrease.
On a graph, points are grouped together and increase.
Answer: B, the middle graph - "On a graph, points are grouped together and decrease."
Step-by-step explanation:
A negative slope means the x-value is going down as the y-value increases. The only option that consistently meets this criteria is B, "On a graph, points are grouped together and decrease."
Answer:
The 2nd Graph aka B
Step-by-step explanation:
got it right on edge
Which of the following is a solution to the equation
2x² + 4x = 3 + 3x²
Answer:
x = 1 or x =3
Step-by-step explanation:
2x² + 4x = 3 + 3x²
2x²-3x²+4x -3 = 0
-x² + 4x -3 = 0
by calculator:
x = 1 or x =3
Select the correct answer. A mistake was made in the steps shown to simplify the expression. Which step includes the mistake? 1 + 3 2 5 + | - 10 | ÷ 2 Step 1: = 1 + 3 2 5 + 10 ÷ 2 Step 2: = 1 + 9 5 + 10 ÷ 2 Step 3: = 10 5 + 10 ÷ 2 Step 4: = 2 + 10 ÷ 2 Step 5: = 12 ÷ 2 Step 6:
Answer:
step 1 is correct
Step-by-step explanation:
when you find the absolute value of a number i.e | | the result is always positive
eg |-20| = 20
step 1 is correct
8% of us adults have blood type b-positive. suppose we take a random sample of 38 us adults. let x represent the number of adults (out of the sample of 38) with blood type b- positive. this situation can be modeled with a binomial random variable x. 4. calculate the mean of x. show all work and round your answer to two decimal places.
Mean of the number of adults (out of the sample of 38) with blood type b- positive (x) is 3.04
Let x be the number of adults out of 38 with blood type b-positive
Probability, p of adults with blood type b-positive=8%=0.08
Sample size, n=38
Using binomial random variable x binomial(n=38, p=0.08)
p(X=x)=[tex]\left \ ({{n} \atop {x}}) \right. p^{x} q^{n-x}[/tex], where x=0,1,2,3,.....n
Mean of x:
Mean of x=(probability of adults with blood type b-positive*sample size)
So, mean of x=p*n, where n=38, p=0.08
=0.08*38
=3.04
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2x+3x+4x=180 what’s x
[tex](2x + 3x + 4x) = 180 \\ 9x = 18 \\ \frac{9x}{9} = \frac{180}{9} \\ x = 20[/tex]
ATTACHED IS THE SOLUTION with the steps.
Is this a function if so explain if not explain
Kaia's mom is having triplets. Each baby could be either male or female.Which outcome would be included in the compound event "at least twomales"?
MFM (option A)
Explanation:Outcome could be male or female
At least two male means the minimum of number of men that we would have in the sample space outcome is 2.
The outcome that satisfies this are:
MMM, MMF, MFM, FMM
From the above, the one in the options is MFM (option A)
Write an expression that is equivalent to 3/4a + 2/3 - 1/2a - 1/3 + 1/2a
WILL GIVE BRAINLIEST! Please help and explain, thank you! All that is needed is to find the unknown side.
Answer: 2
Step-by-step explanation: 12 divided by 3 is 4 so 6 divided by 3 would be 2
⇒I will use the similarity theorem which works by proportion of sides in similar shapes.
⇒The side with magnitude 12 in the bigger triangle is proportional with the side with magnitude 4 in the smaller triangle
⇒The side with magnitude 6 in the bigger triangle is proportional with the side with magnitude x in the smaller triangle. The proportionality theorem allows us to equalize the proportions of the sides
⇒HOW? HERE it is the solution
⇒[tex]\frac{12}{4} =\frac{6}{x} \\[/tex]
⇒[tex]12(x)=4(6)\\12x=24\\\frac{1x}{12} =\frac{24}{12} \\x=2[/tex]
⇒I used cross multiplication
can anyone help me with this
Step-by-step explanation:
Since area = 27cm²
area = 3 × (x + 4)
27 = 3(x + 4)
expand the right side
27 = 3x + 12
move 12 to the left side and subtract it with 27
15=3x
then divide both sides with 3
x=5
Please help 20 points
I don't understand how I'm supposed to solve this I divided both sides and then multiplied but it says my answer is wrong
My teacher said to put 1 under 12
Answer: 16
Step-by-step explanation: Solve for x
by simplifying both sides of the equation, then isolating the variable.
Answer:
x= 1/3
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Multiply all terms by the same value to eliminate fraction denominators
3. Cancel multiplied terms that are in the denominator
4. Divide both sides by the same factor
5. Simplify
Anna model airplane, the scale is 5 cm equals 2 m. If the models wingspan is 28.5 centimeters camera what is the actual wingspan?
Answer:
11.4 m
Step-by-step explanation:
2m / 5 cm * 28.5 cm = 11.4 m
34 is the product of gornan age and 2
Answer:
17 * 2= 34
therefore, 17 and 2 are the factors of 34
Step-by-step explanation:
Phindi is an athlete . as part of her training, she runs around the outside of a circular track that has a radius of 88m. as part of her training, she has to run 12kmon the track. how many circuits of the track will she have to run?
It takes Phindi to run almost 22 tracks to cover 12kms
Given that,
First you have to figure out the length of the track whihc is circumference of circle ,
r is the radius of circular track which is 88m
The athlete has to run 12km on the track
Circumference of circle = 2πr
Solving circumference will give length of the circular track which is,
Circumference of circle = 2(3.14)(88)
=552.6 meters
If she covers 552.6 m whe runs one circular track then,
1 circular track -------- 552.6 meters
? circular track -------- 12000 meters or 12 kilometers
No of circular tracks = 12000/552.6 = 21.7 tracks
Therefore, It takes Phindi to run almost 22 tracks to cover 12kms
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