Answer:
y = 1/4x +7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1/4 x +b
Substitute the point into the equation
8 = 1/4(4) +b
8 = 1 +b
Subtract 1 from each side
8-1 =b
7 =b
y = 1/4x +7
how many elements are in the set (whole numbers between 3 and 15)?
Answer:
Hey there!
The numbers in this set are: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.
We see that there are 13 numbers in this set.
Let me know if this helps :)
Hello!
Answer:
13 sets
Step-by-step explanation:
So you just have to count the numbers! :)
{3,4,5,6,7,8,9,10,11,12,13,14,15}
If you count the numbers, you will see there are 13 numbers.
**THE WHOLE NUMBERS BETWEEN 3 & 15 IS: 3,4,5,6,7,8,9,10,11,12,13,14,15!**
Therefore, there is 13 sets because if you count the numbers “3,4,5,6,7,8,9,10,11,12,13,14,15” you can see that there will be 13 numbers.
So the answer has to be 13 sets!
Hope this helps!
~Have a wonderful day!~
By,Cherry
Find the difference 1-(5)
Answer:
-4
Step-by-step explanation:
Subtract 1 - 5 = -4...
Since 1 is less than 5, we know that the difference is negative, so we can rewrite this expression as -(5-1).
5 - 1 = 4, so - (5-1) = -4.
Answer:
1-(5) is 1-5 = -4
Step-by-step explanation:
one subtracted by 5 will offer an negative number, -4.
if segment AB is 4 units, segment AD is 23 units, and segment CD is 12 units, what is the length of segment BC?
PLEASE HELP
Answer:
AD=23 because it is the same length as the top line. 12+4 is 16 and 23-16=7. X=7
Step-by-step explanation:
I Need Help With This Math Question badly
Answer:
[tex]3^{\frac{1}{6} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Evaluating the parenthesis, gives
[tex]\frac{3^{\frac{3}{4} } }{3^{\frac{3}{8} } }[/tex] = [tex]3^{\frac{3}{4}-\frac{3}{8} }[/tex] = [tex]3^{\frac{3}{8} }[/tex] , then
[tex](3^{\frac{3}{8})^{\frac{4}{9} } }[/tex] → [tex]\frac{3}{8}[/tex] × [tex]\frac{4}{9}[/tex] = [tex]\frac{1}{6}[/tex]
= [tex]3^{\frac{1}{6} }[/tex] with x = [tex]\frac{1}{6}[/tex]
the sum of a rational number and a irrational number equals:
Can someone help me with this please I need it by today
Answer:
9 I THINK
Step-by-step explanation:
77 minus 14 equals 63 and 63 divided by 7 equals 9
The image of the A(2, -3) after a transformation by the mapping (x,y) to ( 2x, y+2) is the point: *
3 points
A) (4, 1)
B) (4,-1)
C (4, 5)
(D (4,5)
Answer:
Step-by-step explanation:
B
Using the numbers and symbols, solve 7x = 42
Answer:
you currently have the value of x × 7, you need to divide it by 7 to find the value of x.
42 ÷ 7 = 6
Step-by-step explanation:
Help plzz I think it is 1 or 2 ..... By The square root property, if k is a real number and x^2=k, then what is x equal to? 1. √k 2. =| √k 3. -√k 4. k^2
Answer:
[tex]\Large \boxed{2. \ x=\pm \sqrt{k}}[/tex]
Step-by-step explanation:
[tex]x^2 =k[/tex]
k is a real number.
We take the square root of both sides of the equation.
[tex]\sqrt{x^2 } =\pm \sqrt{k}[/tex]
Simplifying the equation.
[tex]x=\pm \sqrt{k}[/tex]
Answer:
x = ±√k
Step-by-step explanation:
If:
[tex]x^2 = k[/tex]
We'll take square root on both sides
=> [tex]\sqrt{x^2} = +/- \sqrt{k}[/tex]
=> x = ±√k
FACTORISE: X3 + 3X2 +3X + 1
Answer:
(x+1)(x+1)^2
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{(x+1)^3}[/tex]
Step-by-step explanation:
x³ + 3x² + 3x + 1
Apply cube of sum rule :
⇒ a³ + 3a²b + 3ab² + b³ = (a + b)³
(x)³ + 3(x)²(1) + 3(x)(1)² + (1)³
⇒ a = x
⇒ b = 1
(x + 1)³
Please help this Homework assignment is due tomorrow ;-;
Population density is the number of people per unit of area. The population density of a certain region is 45 people per square
kilometer. If the region covers 32 square kilometers, what is the population of the region?
The population of the region is
people
Answer:
1440 people
Step-by-step explanation:
If we have 45 people per square kilometer, and we have 32 square kilometers, we can imagine it as a little “table.”
There are 32 boxes, and inside each of those 32 boxes, there are 45 little dots.
This is multiplication, so we can just multiply 32 and 45.
[tex]32\cdot45=1440[/tex]
Hope this helped!
subtract 2/7 - 1/3 write your answer with simplest form
Answer:
-1/21
Step-by-step explanation:
2/7 - 1/3
The common denominator is 21
2/7 * 3/3 - 1/3 *7/7
6/21 - 7/21
-1/21
if alpha beta are the roots of the equation
[tex]ax {?}^{2} + bx + c = 0[/tex]
then the quadratic equation whose roots are alpha +beta and alpha beta is
Answer:
Step-by-step explanation:
Hello, I believe that we can consider a different from 0.
By definition of the roots we can write.
[tex]ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\<=> \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }[/tex]
Thank you
-3(x+1) do you know the answer??
-3x-3 is the answer because you need to multiple-3 into x and one
Anyone, please help me!!!
Answer:
Step-by-step explanation:
Hint: 1- 2sin²x = Cos 2x
LHS = 1 - 2Sin² (π/4 - Ф/2)
= Cos 2 *(π/4 - Ф/2)
= Cos 2*π/4 - 2*Ф/2
= Cos π/2 - Ф
= Sin Ф = RHS
Answer:
RHS=sinA
Step-by-step explanation:
LHS=1-2sin^2(45-A/2)
=cos2(45-A/2)
=cos(90-A)
=sinA proved.
what's 123 to the nearest hundred
how to write 7/10 into percent
Answer:
Convert fraction (ratio) 7 / 10 Answer: 70%
Answer:
70%
Step-by-step explanation:
To find percentage = fraction * 100
= 7/10 * 100
= 0.7 * 100
= 70%
7²-3+9x8÷2 evaluate Please, urgent
Answer:
7²-3+9x8÷2
Step-by-step explanation:
you need to answer urself
Answer:
82Step-by-step explanation:
7²-3+9x(8÷2)
=49 - 3 + (9 x 4)
=49 - 3 + 36
=82
[tex]hope \: this \: helps[/tex]
Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in the ratio 5:12, respectively. a. How much money did each invest? b. What percent of the business was owned by Kristin? Round to the nearest tenth of a percent.c. If the business grows to $3,000,000, what percent of it will Julie own? Round to the nearest tenth of a percent.
Answer:
See below.
Step-by-step explanation:
They invested in a ratio of Julie:Kristen of 5:12.
5 + 12 = 17
Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.
a.
Julie: 5/17 * $51,000 = $15,000
Kristen: 12/17 * $51,000 = $36,000
b.
Kristen owns 12/17 of the business.
As a percent, 12/17 = 12/17 * 100% = 70.6%
c.
The percent of the business each owns does not change with the amount the company is worth.
Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%
Let's compare the scientific notation representation of two of these numbers. 0.0000004 = 4.0 x 10 ⁻⁷ and 1,080,000,000 = 1.08 x 10⁹ Write a sentence comparing what is the same and what is different about these two numbers when they are written in Scientific Notation
Answer:
Step-by-step explanation:
Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.
The numbers are written as a product:
a * 10ⁿ
where:
a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number. n = a whole number, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always an integer, positive if it shifts to the left, negative if it shifts to the right.Comparing what is equal to these two numbers when they are written in scientific notation you can see that the value of a is such that 1 ≤ a <10
Comparing what is different from these two numbers when they are written in scientific notation, you can see that the value of the exponent n in both numbers is different, one being positive, indicating that it is a very large number, and the other negative, indicating that it is It is a very small number that is between 0 and 1.
A car factory produces 100 cars in a day if C is the total number of cars produced in the days which equation represents the number of cars as a function of the number of days
Answer:
C = 100x
Step-by-step explanation:
We can create an equation where x represents the number of days.
C = 100x
This represents the situation, since 100 cars are made every day.
For example, in 2 days, 200 cars will be made since 100(2) = 200.
reduce the following rational expression to lowest terms if possible 12/16 Please answer me fast Will mark as a brainlist
Answer:
3/4
Step-by-step explanation:
Find the number that can be divided into both numbers.
12÷4 =3 16÷4=3
List all numbers from the given set that are: a. Natural numbers, b. Whole numbers, c. integers, d. Rational numbers, e. Irrational numbers, f. Real numbers.
Answer:
The given question is incomplete.
The set of numbers should be : -11, -5/6, 0, 0.75, [tex]$\sqrt5$[/tex], [tex]$\pi$[/tex], [tex]$\sqrt{64}$[/tex],
Step-by-step explanation:
a). Natural numbers : Natural numbers starts form 1 up to positive infinity. They are non negative integers.
The numbers are : [tex]$\sqrt{64}$[/tex]
b). Whole numbers : Whole numbers are numbers which starts from 0 to positive infinity.
The numbers are : 0, [tex]$\sqrt{64}$[/tex]
c). Integers : Integers are both positive and negative numbers including 0. But they are not fractional numbers.
The numbers are : -11, 0, [tex]$\sqrt{64}$[/tex]
d). Rational numbers : The rational numbers are the whole numbers or may be fractions which are represented by divisions of any two integers, in the form of m/n.
The numbers are : -11, -5/6, 0, 0.75, [tex]$\sqrt{64}$[/tex]
e). Irrational numbers: Irrational numbers are those numbers numbers which cannot be written in a fraction form. They are not rational numbers
The numbers are : [tex]$\sqrt5, \pi$[/tex]
f). Real numbers : Real numbers are those numbers which do not have any imaginary component in it.
The numbers are : -11, -5/6, 0, 0.75, [tex]$\sqrt5$[/tex], [tex]$\pi$[/tex], [tex]$\sqrt{64}$[/tex],
Mai rented a truck for one day. There was a base fee of $13.25, and there was an additional charge of 5 cents for each mile driven. The total cost, (in
dollars), for driving x miles is given by the following function
C(x) 0.05x + 13.25
What is the total rental cost if Mal drove 20 miles?
Answer: $14.25
Step-by-step explanation:
Plug in 20 for x.
(0.05)(20) + 13.25 = 14.25
Answer: $14.25
Step-by-step explanation:
just input 20 miles into the equation and solve for the rental cost
c(x) = 0.05x + 13.25
c(20) = 0.05(20) + 13.25
c(20)= 1 + 13.25
c(20) = 14.25
The simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39) is .
Answer:
(5.23x + 3.76) − (3.67x − 6.39) is ( . )
Step-by-step explanation:
Yes
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
The simplified form of (5.23x + 3.76) – (3.67x – 6.39) is 1.56x + 10.15.
Find the total surface area. A. 192 cm² B. 197 cm² C. 109 cm² D. 216 cm²
Answer:
D) 216cm²
Step-by-step explanation:
Triangles: a=1/bh
a=1/2(6)(8)
a=24 (2 of them)
Base: 6x7=42
Back: 8x7=56
Front Rectangle: 7x10=70
24+24+42+56+70=216cm²
I need help please help me out
Step-by-step explanation:
First one..
move the green dot one step to the left
Interactive table
U is under the operation a-b
where a = -1 and b = -2
U = -1 - (-2)
U = -1 + 2
U = 1
V is under the operation a-b
where a = -4 and b = 1
V = -4 -1
V = -5
jared wanted to find the weight of his baby goat jared held his goat while he stood on a scale . together they weighed 58.9 kg without his goat jared weighed 56.2 kg what is the weight of the baby goat.
Answer:
Step-by-step explanation:
Weight of baby goat = Weight of Jared with goat - Weight of Jared
= 58.9 - 56.2
= 2.7 Kg
Can 8x be added to 56? Why or why not?
Use rich text?
Answer:
see below
Step-by-step explanation:
8x and 56 are not like terms
x is a variable and 56 is a constant
8x can be added to 56 but they cannot be combined together into one term
8x+56 cannot be combined because they are not like terms
Give 9.7814 correct to the: a) nearest whole place & b) one decimal place
Answer:
a) 10
b) 9.8
Step-by-step explanation:
First, round it the nearest whole number:
9.7814 will round up to 10, since the decimal place .7 is larger than .5
Next, round to one decimal place:
9.7814 will round to 9.8, since the 0.08 will round the 0.7 up to 0.8
a) 10
b) 9.8