Answer:
f = -2
Step-by-step explanation:
3f + 7 = 1
or, 3f = 1 - 7
or, 3f = -6
or, f = -6/3
or, f = -2
Find the slope of the line determined by each pair of points: (-1,3), (-6,-4)
Answer:
[tex]m=\frac{7}{5}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 3)
Point (-6, -4)
Step 2: Find slope m
Substitute: [tex]m=\frac{-4-3}{-6-(-1)}[/tex]Simplify: [tex]m=\frac{-4-3}{-6+1}[/tex]Subtract/Add: [tex]m=\frac{-7}{-5}[/tex]Simplify: [tex]m=\frac{7}{5}[/tex]Find the domain and range of y=-5x-1
Answer:
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex][tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]Step-by-step explanation:
Finding the domain:
The domain of a function is the set of possible input values for which the function is real and defined.
Given the function
[tex]y=-5x-1[/tex]
The function has no undefined points nor domain constraints. Hence, the domain is
[tex]-\infty \:<x<\infty \:[/tex]
i.e.
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Finding the range:
The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.
The range of polynomials with odd degree is all the real numbers.
Hence, the domain is
[tex]-\infty \:<y<\infty \:[/tex]
i.e.
[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
If a polynomial function f(x) has roots 0, 4, and 3 + StartRoot 11 EndRoot, what must also be a root of f(x)?
Answer:
3 - √11Step-by-step explanation:
If the polynomial function has rational coefficients, then the missing root must be conjugate with 3 + √11, which is achieved by reversing the sign of root:
3 - √11[tex] \LARGE{ \underline{\underline{ \purple{ \bf{Required \: answer:}}}}}[/tex]
Since 3 roots are rational but one of the four is irrational. Then, there must be a conjugate pair for that which we can do by reversing the sign between the rational and the non-rational part.
Hence, Another root of the polynomial function f(x) will be ofcourse the conjugate pair of 3 + √11 i.e. 3 - √11 (Ans)
What is the equation, in slope-intercept form, of the line parallel to -5x + y = 2 that passes through the point
with coordinates (-2, 1)?
Answer:
y = 5x + 11
Step-by-step explanation:
- first rearrange -5x + y = 2 and you'll have y = 5x + 2
- the slopes of parallel lines are equal so the slope of the line is 5
so far we have y = 5x + b
- to get b, replace the values in the equation by the values of the given point
(1) = 5(-2) + b
- rearrange and calculate, b = 11
y = 5x + 11
pls help me, i’ll give brainliest
Answer:
the set of integers
Step-by-step explanation:
33 1/3% of what number is 12?
[tex]33\frac{1}{3}[/tex]% of 36 is 12.
What is percentage ?Percentage is the value per hundredth.This can be numerically expressed as (required percentage)/(100 percent)×total value = required value.We can also convert fractions and decimals into percentage by multiplying 100 with it.
According to the given question we have to determine [tex]33\frac{1}{3}[/tex] % is 12.
Let the required number be x.
∴[tex]33\frac{1}{3}[/tex] % of x is 12,This can be numerically written as
(100/3)/100×x = 12.
(1/3)x = 12.
x = 36.
To cross check what we can do is check what is [tex]33\frac{1}{3}[/tex] % of 36.
So, [tex]33\frac{1}{3}[/tex] is = 100/3.
(100/3)/100×36.
= 36/3.
= 12.
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What is the standard deviation of this data set? Use a calculator to help you.
Round your answer to the nearest tenth.
11,16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78,99
Answer:
23.2
Step-by-step explanation:
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
23.2
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2 (rounded to the nearest tenth).
Option B is the correct answer.
We have,
Find the mean:
Mean = (11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99) / 15
= 601 / 15
= 40.06
Subtract the mean and square the differences:
(11 - 40.06)² = 844.48
(16 - 40.06)² = 578.8836
(22 - 40.06)² = 326.1636
(28 - 40.06)^² = 145.4436
(29 - 40.06)² = 122.3236
(30 - 40.06)² = 101.2036
(31 - 40.06)² = 82.0836
(34 - 40.06)² = 36.7236
(37 - 40.06)² = 9.3636
(38 - 40.06)² = 4.28
(43 - 40.06)² = 8.6436
(49 - 40.06)² = 79.92
(56 - 40.06)² = 254.0836
(78 - 40.06)² = 1439.4436
(99 - 40.06)² = 3473.9236
Calculate the mean of the squared differences:
The mean of squared differences.
= 7506.9632/15
= 500.4642
Take the square root of the mean squared differences:
Standard deviation = √(500.4642)
Standard deviation ≈ 23.223
Therefore,
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2.
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1. 1.01 x 1.1 *
2.11
11.111
1.1
1.011
Answer: 1.1
1.01 x 1.1 = 1.111
I hope this is good enough:
please explain this in steps please friends
Answer:
See below
Step-by-step explanation:
The LHS and RHS are exactly the same, so the equality is true.
The associate property of addition says that
[tex]\boxed{a+(b+c)=(a+b)+c}[/tex]
In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.
[tex]\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )[/tex]
[tex]\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}[/tex]
[tex]\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}[/tex]
[tex]\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}[/tex]
[tex]\dfrac{ 23 }{12}[/tex]
Answer:
You gotta give me (us) more to work with homie.
Step-by-step explanation:
If I have more of a picture with it I could possibly help but all there is a barely readable and legible nonsense equation. Sorry :(
Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true.
a. The slopes of the two equations in the system are the same but their y-intercepts are different.
b. The system is an independent system.
c. The graphs of the two equations would intersect at the point (0,3).
Answer:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.Step-by-step explanation:
The system resulting in equation 0=3 means:
There is no solutionThe lines are parallel as no intersectionCorrect choice is:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.Which answer is equivalent to the following expression:
42 ÷ ‒7
A.
6
B.
7
C.
‒7
D.
‒6
Answer:
D
Step-by-step explanation:
42 dived by -7 is -6, D
In rectangle ABCD, AC = 3x+15 and
BD
4x-5. Find the length of AC.
Answer:
75
Step-by-step explanation:
In this problem, AC and BD should be set equal to each other.
3x + 15 = 4x - 5
You would then solve for x, which is x = 20.
Plug 20 back in the equation for AC, 3(20) + 15, to get 75.
The length of AC is 75.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
AC = 3x + 15
BD = 4x - 5
AC and BD are diagonals of the rectangle.
The diagonals of a rectangle are equal.
Now,
AC = BD
3x + 15 = 4x - 5
15 + 5 = 4x - 3x
20 = x
Now,
AC = 3x + 15
= 3 x 20 + 15
= 60 + 15
= 75
Thus,
AC = 75
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again i need some help with this :D
Answer:
v + u - 4
Step-by-step explanation:
Bernard says “When you halve a whole number that ends in 8, you always
get a number that ends in 4”
Write down an example to show that Bernard is wrong.
is this a trick question?
Answer:
Bernad is WRONG.
Step-by-step explanation:
Let us take the number '18' (ends with 8)
The half of 18 is '9' (doesn't end with 4)
Let us take the number '38' (ends with 8)
The half of 38 is '19' (doesn't end with 4)
Therefore, Bernard is wrong.
Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Bernard says “When you halve a whole number that ends in 8, you always get a number that ends in 4”
It can be written mathematically:
Let's suppose the number is '18' (ends with 8)
The half of 18 = 9 (doesn't end with 4)
Let's suppose the number is '38' (ends with 8)
The half of 38 = 19 (doesn't end with 4)
Thus, Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”
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Martin wants to fill a cube with as many jelly beans as possible. In order to know the right number of jelly beans to purchase he has to
figure out the volume of the cube. Using the formula V = 53, what is the volume of the cube, if s = 7?
O A. 147 cubic feet
O B. 343 cubic feet
O C. 28 cubic feet
OD. 21 cubic feet
Answer:
a
Step-by-step explanation:
Factor polynomials x^3 + 4x^2 - 9x - 36
Write an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4
Answer:
y - 5 = -4(x + 1)
Step-by-step explanation:
The point-slope form is y - k = m(x - h). The point is (h, k): (-1, 5) and the slope is -4.
Here we have y - 5 = -4(x + 1)
The required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)
Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).
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There are 6 people in George's family. How much did George's mom pay for tickets? Show how you found your solution.
Answer:
$75
Step-by-step explanation:
To find out how much George's mom paid for the 6 tickets, first find the unit rate, that is cost per ticket.
The unit rate/constant of proportionality between cost of tickets (y) and number of tickets (x) can be calculated using the coordinates of any points on the graph.
Using (4, 50), this means that 4 tickets cost $50.
Unit rate/constant of proportionality = y/x = 50/4 = 12.5
This means a ticket costs $12.5.
Therefore, 6 tickets would cost:
6 tickets × $12.5 = $75.
George's mom paid $75 for the tickets?
Write three expressions that are equivalent to the given expression.
7a+21
Answer:
a+3
2a+6
3a+9
Step-by-step explanation:
simplify by dividing by 7 and then multiply by any number in this case I did 1, 2 and 3
Danielle can type 600 words in 30 minutes. How many words can she type per minute?
Answer:
20
Step-by-step explanation:
just divide 600 by 30
20. because 600 divided by 30 is 20.
solve for b and simplify -17=-3/2b
Answer:
b = 34/3
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-17 = -3/2b
Step 2: Solve for b
Rewrite: -3/2b = -17Divide both sides by -3/2: b = 34/3Step 3: Check
Plug in b to verify it's a solution.
Substitute: -17 = -3/2(34/3)Multiply: -17 = -17PLZ HELP FAST!!!!!!!!
Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .
The cost of grapes was $0.88 a pound. Change bought 4.5 pounds. Find the amount he paid.
Answer:
$3.96
Step-by-step explanation:
If he gave $.88 per each pound he bought all you have to do is multiply $.88 by how many pounds he bought 4.5. $.88x4.5 equals $3.96
Answer:
$3.96
Step-by-step explanation:
0.88*4.5= 3.96
Write one digit on each side of 36 to make a four-digit multiple of 36. How many different solutions does this problem have?
9514 1404 393
Answer:
3 solutions: 1368, 5364, 9360
Step-by-step explanation:
In order to be divisible by 36, the number must be divisible by 9 and by 4. The number will be divisible by 9 if the sum of its digits is divisible by 9. 36 already has a digit sum of 9, so the two added digits must sum to 9.
The number will be divisible by 4 if the least-significant digit is a multiple of 4. That is, it must be 0, 4, or 8. Then the corresponding most-significant digits must be 9, 5, or 1.
The three solutions are ...
1368 = 38 · 36
5364 = 149 · 36
9360 = 260 · 36
Question 12 of 25 Identify an equation that models the situation and find its solution. A tomato plant was 6 inches tall when it was planted in June. When the first tomatoes were ripe, the plant was 44 inches tall. How many inches did the plant grow? A. z – 6 = 44 z = 50 in. B. 6 + z = 44 z = 39 in. C. 6 + z = 44 z = 38 in. D. z – 6 = 44 z = 49 in. Previous Next 12 / 25 11 of 25 Answered View Summary
Answer:
C. [tex]6+z=44\Rightarrow z=38\ \text{inches}[/tex]
Step-by-step explanation:
The plant has initial length of [tex]6\ \text{inches}[/tex]
Let the height it grew after the [tex]6\ \text{inches}[/tex] be [tex]z[/tex]
So total height it grows would be [tex]6+z[/tex]
The total height of the plant is [tex]44\ \text{inches}[/tex]
So we get
[tex]6+z=44\\\Rightarrow z=44-6\\\Rightarrow z=38\ \text{inches}[/tex]
The equation that models the situation is
[tex]6+z=44\Rightarrow z=38\ \text{inches}[/tex]
Help pls help pls help pls help pls help pls
Answer:
It might be b (the second one)
What is the greatest common factor of 48 and 84?
O 6
O 9
O 12
O 14
Answer:
12
Step-by-step explanation:
14 doesn't go into both 48 and 84. 12 is the next highest and it goes into both of them.
I need help with solving the value of x. Then finding the measure of the base angle.
Answers:
x = -3
base angle = 49 degrees
============================================
Work Shown:
The missing angle is (2x+55) degrees since the base angles are congruent.
Add up the three angles and set the sum equal to 180. Solve for x.
(82)+(2x+55)+(2x+55) = 180
4x+192 = 180
4x = 180-192
4x = -12
x = -12/4
x = -3
Use this x value to find the base angle
B = base angle
B = 2x+55
B = 2*(-3)+55
B = -6+55
B = 49 degrees
I have been trying this again and again. Can anyone plz explain this plzzz?
The picture is too blurry to read.
PLZ HURRY, I WILL GIVE BRAINLIEST!!
Which comparison symbol makes the inequality statement true?
-19 5/6 ____ -20 1/6
A. -19 5/6 -20 1/6
C. -19 5/6 = -20 1/6
Answer:
-19 5/6 > -20 1/6
-19 5/6 is greater than -20 1/6. The smaller the negative number, the greater it is compared to bigger negative numbers.
