Answer:
false
Step-by-step explanation:
a scalene triangle has all different side lengths, so it's impossible for it to be equilateral
Jessica is selling books during the summer to earn money for college.
what is the slope of a line perpendicular to the line y=-1/4x-1
slope of line perpendicular to the line y=-1/4x-1 is 4.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us write the given equation y=-1/4x-1
If we compare the given equation with slope intercept form
We get to know slope of line m is -1/4.
It two lines are perpendicular then the product of their slopes will be -1
-1/4×m=-1
m=4
Hence slope of line perpendicular to the line y=-1/4x-1 is 4.
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The graph of a proportional relationship is shown. What is the
amount of savings per
week?
Money
470
376
A) $94/week
B) $47/week
C) $18.80/week
D) $23.50/week
Answer: B) $47/week
===========================================================
Explanation:
Because the graph goes through the origin, we can simply divide the y value over the x value. Do so for any point on the diagonal line.
For example, picking (x,y) = (2, 94) leads to k = y/x = 94/2 = 47 being the constant of proportionality and also the amount of savings per week.
You can think of it like this:
2 weeks = $94 in savings
2/2 weeks = $94/2 in savings ... divide both sides by 2
1 week = $47 in savings
leading to the savings rate of $47 per week
----------
Side note: This linear equation is y = 47x. It is in the form y = kx with k = 47. It is a direct proportion equation. The constant of proportionality is also the slope. All direct proportion equations are linear and go through the origin.
Billy is on the cross-country team. His goal is to run on 2/3 of the days in September, which has 30 days. If Billy meets his goal, how many days will he run? Group of answer choices
Answer:
20
Step-by-step explanation:
30/3=10
10*2=20
THIRTY POINTS Will mark branliest if right.
Which expression is equal to the expression below?
(2 x 6)^4
A. 2^4 x 6^4
B. 8^4
C. 4 x (2 x 6)
D. 2 x (6)^4
Answer:A
Step-by-step explanation:A
What is the largest possible integral value in the domain of the real-valued function
f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]
Answer:
Max Value: x = 400
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Calculus
AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]
Step 2: Identify Variables
Using U-Substitution, we set variables in order to integrate.
[tex]u = 800-2x\\du = -2dx[/tex]
Step 3: Integrate
Define: [tex]\int {f(x)} \, dx[/tex]Substitute: [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property: [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub: [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite: [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule: [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify: [tex]-\sqrt{u} + C[/tex]Back-Substitute: [tex]-\sqrt{800-2x} + C[/tex]Factor: [tex]-\sqrt{-2(x - 400)} + C[/tex]Step 4: Identify Domain
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
What is the solution to the equation 1/4x+2=-5/8x-5
Answer:
X = -8
Step-by-step explanation:
The explanation is in the image.
I need help any help is appreciated please
Answer:
third option both cost the same after 2 months
The line graphed below has a slope of ____.
3
1/3
-3
Answer:
-3
Step-by-step explanation:
Hope this helps!
Solve the given system by substitution.
Answer:
(2, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
r = 4s
r = 1/2s + 7
Step 2: Solve for s
Substitution
Substitute in r: 4s = 1/2s + 7Subtract 1/2s on both sides: 7/2s = 7Divide 7/2 on both sides: s = 2Step 3: Solve for r
Define equation: r = 4sSubstitute in s: r = 4(2)Multiply: r = 8Answer:
s = 2
r = 8
Step-by-step explanation:
subsitution is were you plug in a systerm into the other problem
since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)
so now you have 4s = 1/2s+7
now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7
now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2
s = 2
now we have s we take that and plug it into r = 4s
subsitute S as 2 --> r = 4(2)
r = 8
Which graph matches it also i need this asap Thank you!
Answer:
6
Step-by-step explanation:
..
solve the inequality
h-(-2)≥10
Let's solve your inequality step-by-step.
h−(−2)≥10
Step 1: Simplify both sides of the inequality.
h+2≥10
Step 2: Subtract 2 from both sides.
h+2−2≥10−2
h≥8
Answer:
h≥8
(Pls mark brainliest)
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
The given inequality is:
h -(-2) ≥ 10
Simplify the left hand side
h + 2 ≥ 10
Subtract 2 from both sides of the inequality
h + 2 - 2 ≥ 10 - 2
h ≥ 8
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
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Tessa's class had a math exam
What does N(8)>2×N(5) mean
Answer:
The number of students whose grade was 8 is more than twice the number of students whose grade was 5.
Step-by-step explanation:
N(8) models the number of students whose grades on exam was g.
(The answer is correct, I did it on Khan Academy
!100 POINTS!
The graph of g(x) is transformed from its parent function, f). Apply concepts involved in determining the key features of
a rational function to determine the domain and range of the function, g(x)=
1/X-6
A. What is the domain of the function, g(x)?
B. What is the range of the function, g(x)?
Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through the point (2,0)?
-2x+ y=-4
-2x+y=2
X+2y=2
X+2y=4
Answer:
[tex]x + 2y= 2[/tex]
Step-by-step explanation:
Given
Points:
[tex]F = (4,9)[/tex]
[tex]G = (1,3)[/tex]
Required
Determine the equation of line that is perpendicular to the given points and that pass through [tex](2,0)[/tex]
First, we need to determine the slope, m of FG
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex]F = (4,9)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]G = (1,3)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]m = \frac{3 - 9}{1 - 4}[/tex]
[tex]m = \frac{- 6}{- 3}[/tex]
[tex]m =2[/tex]
The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:
[tex]m_2 = -\frac{1}{m}[/tex]
[tex]m_2 = -\frac{1}{2}[/tex]
The equation of the line is then calculated as:
[tex]y - y_1 = m_2(x - x_1)[/tex]
Where
[tex]m_2 = -\frac{1}{2}[/tex]
[tex](x_1,y_1) = (2,0)[/tex]
[tex]y - 0 = -\frac{1}{2}(x - 2)[/tex]
[tex]y = -\frac{1}{2}(x - 2)[/tex]
[tex]y = -\frac{1}{2}x + 1[/tex]
Multiply through by 2
[tex]2y = -x + 2[/tex]
Add x to both sides
[tex]x + 2y= -x +x+ 2[/tex]
[tex]x + 2y= 2[/tex]
Hence, the line of the equation is [tex]x + 2y= 2[/tex]
Answer:
X+2y=2
Step-by-step explanation:
Can someone plz help me it is timed ill give Brainliest if it is correct
Answer:
b
Step-by-step explanation:
I had this exactl question a while ago
who knows this
A. cube root
B. square root
C. square
D. cube
Answer:
A. Cube root
Step-by-step explanation:
hi ok pls help me 78/90 divided by - 68/190
Answer:
-0.00006707946
Step-by-step explanation:
I just looked up the equation and this came up on a calculator. Next time just look it up on google. :) Have a nice night
Yo can anybody please help me with this math question please
Answer:
the answer should 60°
Step-by-step explanation:
if look at angle pq and rq the measure of the angle is 60° if u were to spin that angle to a u should get the same measurement
If AABC = ADFE determine the values of x and y.
B
32.1
99°
38.4
45°
36
A
54
F
(8y -- 5)º
2y + x
D
E
[tex]8y - 5 = 99 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 8y = 99 + 5 \\ \: \: \: \: \: \: \: \: \: \: 8y = 104 \\ \: \: \: \: \: \: \: \: \: \: \: \: y= \frac{104}{8} \\ \: \: \: \ \: \: \: y = 13[/tex]
[tex] \: \: \: \: \: \: 2y + x = 38.4 \\ 2(13) + x = 38.4 \\ \: \: \: \: \: \: 26 + x = 38.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 38.4 - 26 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 12.4[/tex]
a number is 2/3 of another number. if the sum of the two numbers is 30, find the smaller number.
Answer: The numbers are 4 and 6.
Step-by-step explanation:
Let one number be represented as
x
and the other as
y
.
According to the problem:
x
=
2
3
y
and
x
+
y
=
10
From the second equation we get:
x
+
y
=
10
∴
y
=
10
−
x
(subtracting
x
from both sides)
Replacing the value of
y
in the first equation we get:
x
=
2
3
y
x
=
2
3
(
10
−
x
)
Multiplying both sides by
3
we get:
3
x
=
2
(
10
−
x
)
Opening the brackets and simplifying we get:
3
x
=
20
−
2
x
Add
2
x
to both sides.
5
x
=
20
Divide both sides by
5
.
x
=
4
Since from the second equation we have:
x
+
y
=
10
substituting
x
with
4
we get:
4
+
y
=
10
Subtract
4
from both sides.
y
=
6
Answer: The smaller number is 12.
Step-by-step explanation:
Just took the test
Please help I don’t know how to do this
Answer:
x = 50°
Step-by-step explanation:
According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,
[tex]x = 15 + 35 = 50[/tex]
(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider charges $10 per month plus an activation fee of $20. A second cellphone provider charges $11 per month plus an activation fee of $15. For what number of months is the cost of either cellphone provider the same?
Answer:
Hope it can help you.......
If you understand my answer, You can mark me as a brainlist...........
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00:00 Which is the simplified form of
[tex] {6}^{ - 3} [/tex]
? Select the correct answer.
Answer:
1/216
Step-by-step explanation:
Simplify the following:
6^(-3)
Hint: | In order to evaluate 6^3 express 6^3 as 6×6^2.
6^3 = 6×6^2:
1/(6×6^2)
Hint: | Evaluate 6^2.
6^2 = 36:
1/(6×36)
Hint: | Multiply 6 and 36 together.
6×36 = 216:
Answer: 1/216
Answer:
1/1296
Step-by-step explanation:
Linear or Not?
10y = 4x
Is it linear or not yes or no
Answer:
no
\
Step-by-step explanation:
.Write the following number in expanded form using powers of 10: 67.938
Answer:
67.938 =
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Step-by-step explanation:
Here, we want to write the given number in expanded form
Mathematically that will be ;
60 + 7 + 0.9 + 0.03 + 0.008
Using the power of 10, that will be;
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
SCHOOL LUNCH In 2015, Ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to
2017? Plz help asap plz
The rate of change from 2015 to 2017 is -$250 per year.
Given that,
In 2015, Ed spent $800In 2017, Ed spent $300We need to find the rate of change.According to the scenario, computation of the given data are as follows,
Total change = $300 - $800
= -$500
Total years from 2015 to 2017 = 2 years
So rate of change = -$500 [tex]\div[/tex] 2
= - $250
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An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?
Answer:
The answer is stan twice
Step-by-step explanation:
simple
Answer:
x=10
Step-by-step explanation:
Which is equal to K-L ?
Answer:7 -3
6 0
13-6=7
7-10=-3
25-19=6
18-18=0
Step-by-step explanation:
Answer:
third option from the top
Step-by-step explanation:
7. -3
6. 0
A certain relationship is defined as having only one corresponding y-value for each x-value. Which of the following best describes this relationship?
A.
variable
B.
expression
C.
function
D.
equation
Answer:
We conclude that a function is defined as having only one corresponding y-value for each x-value.
Hence, option (C) is true.
Step-by-step explanation:
We know that A function is a certain relationship is defined as having only one corresponding y-value for each x-value.
Considering the function
f(x) = x+1Here,
x is the input and f(x) or y is the output. 'x' is often called an independent value and y is called the 'dependent' value.Considering the table
x y
1 2
2 3
3 4
4 5
The values in the table satisfy the function y = x+1.
It is clear from the table that the function has only one corresponding y-value for each x-value. In other words, there is no repetition of 'x' value.
Therefore, we conclude that a function is defined as having only one corresponding y-value for each x-value.
Hence, option (C) is true.