Answer:
y=3x+14
Step-by-step explanation:
Answer:
y = 3x + 14
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 )
y = 3x - 1 ← is in slop- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation
To find c substitute (- 2, 8) into the partial equation
8 = - 6 + c ⇒ c = 8 + 6 = 14
y = 3x + 14 ← equation of parallel line
Find the central angle, indicated by ?
155°
?
120°
The central angle of the circle is given by the equation A = 120°
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the center of the circle be O
Let the arc be represented as AB
Let the angle be represented as ∠AOB
Now , ∠AOB is a central angle with an intercepted minor arc from A to B.
Substituting the values in the equation , we get
m∠AB = 120º
The measure of the central angle ∠AOB = measure of m∠AB
So ,
The measure of the central angle ∠AOB = 120°
Hence , the central angle is 120°
To learn more about central angle click :
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What's the gcf of 47 and 17
Answer:
The GCF of 47 and 17 is 1
Step-by-step explanation:
A coin is flipped and a normal dice is rolled. How many possible outcomes are there? What is the probability of getting no heads? What is the probability of getting at least two tails?
Answer:
Below.
Step-by-step explanation:
(a) There 8 possible outcomes.
HHH TTT HHT HTH THH TTH THT HTT
(b) Prob(No Heads)
= Prob(TTT)
= 1/8.
(c) Possible outcomes of at least 2 tails are:
TTT, TTH THT HTT = 4
So Probability of this is 4/8 = 1/2.
Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------- The perimeter of any triangle is the sum of the lengths its sides. The lengths of the sides of a certain triangle, in feet, are consecutive even integers. The perimeter of this triangle is between 10 feet and 24 feet inclusive. a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle. b. Write a compound inequality to model this problem. c. Solve the inequality. List all possible lengths for the longest side of the triangle. ------------------------- This is what I have so far... (please tell me what I did wrong as well) ------------------------- 10 ≤ x+(x+2)+(x+4) ≤ 24 ------------------------- 10 ≤ 3x+6 ≤ 24 -------------------------4 ≤ 3x ≤ 18 ------------------------- 4/3 ≤ x ≤ 6
9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
Given:
The lengths of the sides of a certain triangle, in feet, are consecutive even integers.The perimeter of this triangle is between 10 feet and 24 feet inclusive.Find:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
Solution:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
__
b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
__
c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
Your working is correct, but incomplete. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.
If f(y) = 2y - 2/5,
what is f(f^-1(1024))?
Answer:
-0.399
Step-by-step explanation:
f^-1(1024)=(2*1024-2/5)^-1= 0.000488
f(0.000488)=2*0.000488-2/5= -0.399
I WILL GIVE BRAINLIEST! Parallelogram WXYZ has vertices W(-5, 3), X(-2, 0), Y(-4, -2), and Z(-7, 1), as shown in the graph below.
Which statement about parallelogram WXYZ is true?
A. Since two adjacent sides are congruent and have slopes that are negative reciprocals, WXYZ is a square.
B. Since two adjacent sides are not congruent, WXYZ is not a rhombus.
C. Since two adjacent sides have slopes that are negative reciprocals, WXYZ is a rectangle.
D. Since two adjacent sides have slopes that are not negative reciprocals, WXYZ is not a rectangle.
Answer:
d
Step-by-step explanation:
A system of linear equations is given by the tables.
Answer:
Please, see the explanation.
Step-by-step explanation:
DETERMINING THE EQUATION FOR THE FIRST TABLE
Given the first table
x y
-5 10
-1 2
0 0
11 -22
From the given equation, we can verify and determine that
[tex]y=-2x[/tex] is the required equation that satisfies the table values of the first table.
substituting the table values of all the ordered pairs to check
FOR (-5, 10)
y =-2x
10 = -2(-5)
10 = 10
L.H.S = R.H.S
FOR (-1, 2)
y =-2x
2 = -2(-1)
10 = 2
L.H.S = R.H.S
FOR (0, 0)
y =-2x
0 = -2(0)
0 = 0
L.H.S = R.H.S
FOR (11, -22)
y =-2x
-22 = -2(11)
-22 = -22
L.H.S = R.H.S
As all the ordered pairs of the first table satisfy the equation.
Hence, [tex]y=-2x[/tex] is the equation for the first table.
DETERMINING THE EQUATION FOR THE SECOND TABLE
Given the first table
x y
-8 -11
-2 -5
1 -2
7 4
From the given equation, we can verify and determine that
[tex]y=x-3[/tex] is the required equation that satisfies the table values of the second table.
substituting the table values of all the ordered pairs to check
FOR (-8, -11)
y =x-3
-11 = -8-3
-11 = -11
L.H.S = R.H.S
FOR (-2, -5)
y =x-3
-5= -2-3
-11 = -5
L.H.S = R.H.S
FOR (1, -2)
y = x-3
-2= 1-3
-2 = -2
L.H.S = R.H.S
FOR (7, 4)
y = x-3
4 = 7-3
4 = 4
L.H.S = R.H.S
As all the ordered pairs of the second table satisfy the equation.
Hence, [tex]y = x-3[/tex] is the equation for the second table.
Therefore, the equations are:
[tex]y=-2x[/tex]
[tex]y = x-3[/tex]
Now, let us solve to determine the solution
[tex]\begin{bmatrix}y=-2x\\ y=x-3\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+2x=0\\ y-x=-3\end{bmatrix}[/tex]
[tex]y-x=-3[/tex]
[tex]-[/tex]
[tex]\underline{y+2x=0}[/tex]
[tex]-3x=-3[/tex]
[tex]\begin{bmatrix}y+2x=0\\ -3x=-3\end{bmatrix}[/tex]
solving
[tex]-3x=-3[/tex]
[tex]\frac{-3x}{-3}=\frac{-3}{-3}[/tex]
[tex]x=1[/tex]
For [tex]y+2x=0[/tex], plugin [tex]x = 1[/tex]
[tex]y+2\cdot \:1=0[/tex]
[tex]y+2=0[/tex]
[tex]y=-2[/tex]
Therefore, the solution to the system of equations are:
[tex]y=-2,\:x=1[/tex]
Please help me out with this question please...
Answer: B) No, every x-value does not have exactly one y-value
Explanation:
We have the input x = 3 map to the outputs y = 2 and y = 8 at the same time. A function is only possible if any given x value goes to exactly one y value.
Put another way, if x repeats itself, then we don't have a function. This assumes we don't repeat the same y value when we repeat the x value.
Is the graph linear exponential or neither?
Which is the answer???
4(3xy^4)^3/(2x^3y^5)^4
Answer:
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
Step-by-step explanation:
Given the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
solving the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=4\cdot \:\frac{\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
[tex]=4\:\frac{27x^3y^{12}}{16x^{12}y^{20}}[/tex]
[tex]=4\cdot \frac{3^3}{2^4x^9y^8}[/tex]
The multiply fractions are defined as
[tex]\:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{3^3\cdot \:4}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3\cdot \:2^2}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3}{2^2x^9y^8}[/tex]
Refining
[tex]=\frac{27}{4x^9y^8}[/tex]
Therefore,
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
Match each explicit formula to its corresponding recursive formula.
Answer:
See attached
Step-by-step explanation:
The answer is in below picture
Find the value of X that will make L║M
Answer:
x = 60
Step-by-step explanation:
Given: L ∥ M and the line going through them is transversal
The sum of the interior angles on the same side of a transversal is equal to 180 degrees; therefore, (2x + 5) degrees + (x - 5) degrees = 180 degrees.
2x + 5 + x - 5 = 180
2x + x + 5 - 5 = 180
3x + 0 = 180
3x = 180
x = 180/3
x = 60
Double Check:
2(60) + 5 + (60) - 5 = 180 degrees
120 + 5 + 55 =
125 + 55 =
180 degrees
180 degrees = 180 degrees
If one angle equals 130 in a triangle and the other equals 96 then what does the angle labelled X equal
Answer:
x = 46
Step-by-step explanation:
This is basic trigonometry, so we can apply this procedure...
- The total sum of all angles in a triangle is 180 (no angle should be more than 180, this is the limit) and we only need to know just one angle labeled as x, this is represented as:
130 + 96 + x = 180
x = 130 + 96 - 180
- Now we just need to obtain x:
x = 130 + 96 - 180
x = 226 - 180
x = 46
Divide. Reduce the answer to lowest terms.
14/3 ÷ 4
Answer:
Work shown below!
Step-by-step explanation:
[tex]\frac{14}{3}[/tex] ÷ [tex]\frac{4}{1}[/tex] = [tex]\frac{14}{3}*\frac{1}{4} = \frac{14}{12}=\frac{7}{6}[/tex]
Answer:
the correct answer is 1 1/6
Which correctly represents this inequality?
A number times two is less than 20 + 8.
PLS HELP!
Answer:
solving the inequality we get [tex]x < 14[/tex]
Step-by-step explanation:
We need to solve the inequality A number times two is less than 20 + 8
Let the number be x
The inequality will be:
2x < 20+8
Now solving the inequality to find the value of x
[tex]2x < 20+8\\2x < 28\\x<\frac{28}{2}\\x<14[/tex]
So, solving the inequality we get [tex]x < 14[/tex]
In figure a I am attaching the number line for solution.
In figure b I am attaching the graph for solution.
The function is f(x)=x^2+7x-8
Need immediately
Rewarding 100 points !!!!
Answer: Vertex is (-7/2, -81/4)
Axis of synmentary is x= -7/2
Directrix is y= -41/2
Step-by-step explanation:
Its on google
evaluate when a=15:2(a-5)+2
Answer:
22
Step-by-step explanation:
if a=15
then, 2(a-5)+2= 2(15-5)+2 = 2(10)+2= 20+2=22
The sum of three numbers is 54. The third number is 6 more than the first. The second number is 2 times the third. What are the numbers?
Answer:
9, 30, and 15.
Step-by-step explanation:
Let the three numbers be a, b, and c.
The sum of them is 54. So:
[tex]a+b+c=54[/tex]
The third number is 6 more than the first. In other words, c=a+6.
The second number is twice the third. In other words, b=2c.
Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).
Let’s substitute them into our equation. So:
[tex]a+2(a+6)+(a+6)=54[/tex]
Solve for a. Distribute:
[tex]a+2a+12+a+6=54[/tex]
Combine like terms:
[tex]4a+18=54[/tex]
Subtract 18 from both sides:
[tex]4a=36[/tex]
Hence, the value of a is:
[tex]a=9[/tex]
So, the first number is 9.
The third number is 6 more than the first, so the third number is 15.
The second number is twice the third. So, the second number is 30.
Therefore, our numbers are:
9, 30, and 15.
5x+4=x+44 solve for x
Answer:
x=10
Step-by-step explanation:
hope this helps
5x = x + 44 - 4
5x = x + 40
5x - x = 40
4x=40
x=40/4
x = 10
Please help!!! will give crown
Answer:
Mixed number: 6 1/100
Improper Fraction: 601/100
Step-by-step explanation:
Hope this helps!
Answer:
Mixed number: [tex]6\frac{1}{100}[/tex]
Improper fraction: [tex]\frac{601}{100}[/tex]
Step-by-step explanation:
A mixed number is a fraction that contains an integer and fraction part. An improper fraction is a fraction where the numerator is larger than the denominator.
[tex]6.01[/tex] can be written in the from [tex]\frac{601}{100}[/tex]. This is an improper fraction since the numerator is greater than the denominator.
The mixed number is [tex]6\frac{1}{100}[/tex] since [tex]100[/tex] goes into [tex]601[/tex] six full times with [tex]1[/tex] as the remainder.
Hope this helps :)
This homework is really confusing me. PLEASE HELP SOON. i also haven't been able to understand this topic that well so if someone could explain some stuff that would be good
I've been having some problems too
:/
Can u guys help me w number 5 U can answer 6 if u want too
Answer:
5. Slope: 2
y-intercept:(0,-6)
y=2x-6
6. Slope:1
y-intercept:(0,-1)
y=x-1
(24-2)180 whats the answer?
Answer:
3960 is the answer
Step-by-step explanation:
Answer:
3960
Step-by-step explanation:
...........................
...........................
answer is 3960
Please help with this question ASAP I will give brainliest !!!
Answer:
(2).
Step-by-step explanation:
We have the expression:
[tex]\displaystye{\ln(\displaystyle{\frac{\sqrt{e}}{y^3})}[/tex]
First, we can use the difference property of logarithms:
[tex]\ln(x/y)=\ln(x)-\ln(y)[/tex]
Hence, this is equivalent to:
[tex]=\ln(\sqrt{e})-\ln(y^3)[/tex]
We can rewrite the left as:
[tex]=\ln(e^\frac{1}{2})-\ln(y^3)[/tex]
Now, we can use the power property:
[tex]\ln(a^b)=b\ln(a)[/tex]
Essentially, we move the exponent to the front.
Hence, this yields:
[tex]=\frac{1}{2}\ln(e)-3\ln(y)[/tex]
The natural log of e is simply 1. Hence:
[tex]=\frac{1}{2}-3\ln(y)[/tex]
Combine fractions:
[tex]\displaystyle{=\frac{1}{2}-\frac{6\ln(y)}{2} \\ =\frac{1-6\ln(y)}{2}}[/tex]
Hence, our answer is (2).
What is the solution to the equation 1/4x-1/8=7/8+1/2x?
X=-5
X=-4
X=4
the answer is x=-4 hope it helps
Please help will mark brainliest
Answer: The awnser is B
Step-by-step explanation: ive went over the problem and checked
If f(x) =x 2 + 10, what is f (-5)?
Answer:
f(-5) = 35
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = x² + 10
f(-5) is x = -5
Step 2: Evaluate
Substitute: f(-5) = (-5)² + 10Exponents: f(-5) = 25 + 10Add: f(-5) = 35In the first week of July, a record 1,060 people went to the local swimming pool. In the second week, 100 fewer people went to the pool than in the first week. In the third week,140 more people went to the pool than in the second week. In the fourth week, 146 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer:
there was a total of 954 people at the pool
Step-by-step explanation:
Answer: 246
Step-by-step explanation:
find the lump sum that must be deposited today to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually. Use the table of values below.
Answer:
The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
Step-by-step explanation:
We are given:
Future value (A)=$25,000
Rate r =8% (0.08%)
Time t = 9
Compounded Annually n =1
We need to find:
Principal Amount (P) = ?
The formula used will be:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding Principal Amount (P)
[tex]A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }[/tex]
So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.