Answer:
y = - 2x + 1
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 )
Given
2x + y - 3 = 0 ( subtract 2x - 3 from both sides )
y = - 2x + 3 ← in slope- intercept form
with slope m = - 2
Parallel lines have equal slopes, then
y = - 2x + c ← is the partial equation
To find c substitute (1, - 1 ) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - 2x + 1 ← equation of parallel line
give answer to 1 d.p
Answer:
AB ≈ 5.6 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )
12 × cos62° = AB , then
AB ≈ 5.6 cm ( to 1 dec. place )
what is 38942390785289037x348092387490287
38942390785289037x34809238749028
Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please
[tex]\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207[/tex]
Will's Burger Place made 29 burgers. 18 of the burgers had onions. What is the ratio of the number of burgers without onions to the total number of burgers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
11:18
Step-by-step explanation:
Hope this helped!
HELP ME PLEASEEEE I NEED ITT !
Answer:
10
Explanation:
130 divided by 13 equals 10
10 times 13 equals 130
Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.
A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres
Answer: B: 3.45
Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.
Write a multiplication equation that corresponds to each division equation.
10 divided by 5 =
4.5 divided by 3 =
3 ½ divided by 4
Answer:
1. 10/1×1/5
2.5/1×1/3
3.1/2×1/4
Step-by-step explanation:
to turn it into a multiplication problem, turn the second fraction into its reciprocal (flip the numerator and denominator )
Which of the following is equal to
(x - 3)(2x + 4x - 1)?
A 2x3 - 2x2 - 11x + 3
B 2x3 -- 2x2 - 13x + 3
Answer: [tex]2x^3-2x^2-13x+3[/tex]
======================================================
Work Shown:
I'm assuming you meant to say [tex](x - 3)(2x^2 + 4x - 1)[/tex]
Let [tex]y = x-3[/tex]
So,
[tex](x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3\\\\[/tex]
The basic idea is to use the distribution rule (line 3 and line 6) and then combine like terms.
14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?
Answer:
eight years
Step-by-step explanation:
at year one: nabisco 30k and keebler: 36k
year two: nabisco: 33k and keebler: 38k
year three: nabisco: 36k and keebler: 40k
year four: nabisco: 39k and keebler: 42k
year five: nabisco: 42k and keeber: 44k
year six: nabisco: 45k and keebler 46k
year seven: nabisco: 48k and keeber 48k
year eight: nabisco: 51k and keebler 50k
Which sentence elaborates Akhenaton’s changes to Egyptian religion?
Answer:
sentences 3,4, and 5 elaborate on the changes but since only 4 is a possible answer it must be sentence 4.
Answer: Akhenaton dedicated that only the sun god Aten would be worshiped in Egypt.
Step-by-step explanation:
given that 4 : 6 = 3 : (m+2), find m.
Answer:
Step-by-step explanation:
HELP!!!!!
M
list the sides of ABC in order from shortest to longest
M list the sides of ABC in order from shortest to longest
Answer:Sum of angles in a triangle = 180
Angles A + B + C = 180
80 + 3x + 5 + 5x - 1 = 180
3x + 5x = 180 - 80 - 5+1
8x = 96
x = 96/8
x = 12
So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59
Angle A = 80, B = 41, C = 59
So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.
So from the smallest to biggest side:
AC < AB < BC
Arigatou gozaimasu!!
Expand the following expressions and write in standard form. Show your work.
a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)
A bag with 12 marbles has 4 red marbles , 3 yellow Marbles ,5 blue marbles. A Marble is chosen from the bag at random . What is the probability that is not red
Answer:
2/3
Step-by-step explanation:
The answer is simple; the number of non-red marbles over the number of total marbles.
Is 0.5 x 10^4 = 50,000? or 5,000? PLEASE SOMEONE HELP ME WITH THISS. Just tell me if is one of those!! If you see this help me rn bc i gotta do this rn LOL
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\boxed{\mathbf{0.5\times10^4}}\\\large\boxed{\mathbf{= 0.5\times10\times10\times10\times10}}\\\large\boxed{= \mathbf{0.5\times100\times100}}\\\large\boxed{= \mathbf{0.5\times 10,000}}\\\large\boxed{\mathbf{= 5,000}}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{5,000}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which expression is equivalent to [(2a-3b4)2(3a5b)-2]-1 ? Assume a =/ 0, b =/ 0
Answer: The Third option
Step-by-step explanation:
1/36a^4b^10
Hope this is right!
The expression equivalent to the given expression is 1/36a⁴b¹⁰. Therefore, option C is the correct answer.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is ((2a⁻³b⁴)²/(3a⁵b)⁻²)⁻¹.
Now, ((2²a⁻⁶b⁸)/(3⁻²a⁻¹⁰b⁻²))⁻¹
= (2⁻²a⁶b⁻⁸)/(3²a¹⁰b²)
= (a⁶)/(3²2²a¹⁰b²b⁸)
= 1/36a⁴b¹⁰
Therefore, option C is the correct answer.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
#SPJ7
Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
Answer:
See below
Step-by-step explanation:
Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)
Hector is rewriting the expression 7 Superscript 11 in expanded form. How many terms will be multiplied in his rewritten expression? 2 7 11 12
Answer:
11
Step-by-step explanation:
Help please Pretty plz
Answer:1/10
Step-by-step explanation:
Start by multiplying 1/100 by 1/10
The answer will be 1/1000
A lizard is 4 1/2 inches long.
How long is the lizard in centimeters?
Answer:
The lizard is 11.43 centimeters long.
the sum of the interior angle in a polygon is 40,500° what is the number of sides in the regular polygon
Answer:
227 sides
Step-by-step explanation:
The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:
40500 = 180(n-2)
225 = n-2
227 = n
Therefore, the number of sides in the regular polygon is 227.
Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 412 cups.
and plz get equation as well
1/5 divided by 2/15 as a mixed number
Answer: 1 1/2
Step-by-step explanation:
Step One: 3 / 2 = 1.5000 = 1
Step Two: 3 - (2 x 1) = 1
Step Three: 1 1/2
Please mark me branliest
prove that: sin×sec=tan
[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]
is -2x+3 the same as 2x-3
Answer:
no they are different numbers, however their signs are inverted
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...
-2x+3 = 10 2x-3 = 10
-3 -3 +3 +3
------------------ -----------------
-2x = 7 2x = 13
x = [tex]\frac{7}{2}[/tex] x = [tex]\frac{13}{2}[/tex]
x = 3.5 x = 6.5
As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.
Hope this helps! :D
ann works in a supermarket for $10.00 per hour. she received a raise to $12.00 . What is the percent of change in her hourly wage?
Answer
20%
Step-by-step explanation:
10.00 is the start wage, 12.00 is the new wage
going from 10 to 12 dollars is a 2 dollar increase
2 dollars is 20% of her original salary, so she is now making 120% of what she previosuly made which is a 20% increase
What is the domain and range ?
Answer: domain are the ones that go side to side or the x range is the ones that go up and down or the y
Step-by-step explanation:
Solve four ninths minus four tenths equals blank.
Answer:
2/45
Step-by-step explanation:
B1
F
Ayesha plays hockey.
Last year Ayesha scored 8 goals.
This year Ayesha scored 13 goals.
Calculate the percentage increase
in for the number of goals
scored.
Answer:
60% Increase
Step-by-step explanation:
Ayesha scored 5 more goals over her previous goal count of 8. That means:
(5/8) = 0.60 or 60% increase.
A 60% increase means a factor of 1.6 (1 + 0.6)
(8 goals)*(1.6) = 13 goals
Answer:
13 _18= 5
5/13×100%=38.46%
Mark's test scores for this semester were: 83, 80, 91, 74, 66, 95, 87, 72, 95, & 98. What is the mode of his test scores?
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