Answer:
y = -⁴/₅x + 14Step-by-step explanation:
Changing to slope-intercept form:
-10x + 8y = 3 {add 10x to both sides}
8y = 10x + 3 {divide both sides by 8}
y = ⁵/₄x + ³/₈
Two lines are perpendicular if the product of their slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
y = ⁵/₄x + ³/₈ ⇒ m₁=⁵/₄
⁵/₄×m₂ = -1 ⇒ m₂ = -⁴/₅
The line y=-⁴/₅x+b passes through point (15, 2) so the equation:
2 = -⁴/₅×15 + b must be true
2 = -12 + b
b = 14
Therefore equation in slope-intercept form:
y = -⁴/₅x + 14
At a bookstore, you buy a calendar for $5 and some books for $3 each. You spend a total of $26. How many
books do you buy? Use the following equation to find the number of books b bought; 3b+5=26
Abby sold 152 copies of a CD she made for $13.99 each. If she earns 33% profit from each CD,about how much profit will she earn in all?
Answer:
$701.74
Step-by-step explanation:
33% of 13.99 is 4.6167
4.6167 x 152 is 701.7384
Rounding the thousandth gives you 701.74
Therefore the answer is $701.74
Select the correct answer.
What is V192 in simplest form?
OA. 32/3
OB. 3V
Ос.
OD
2748
Answer:
should be C 8v3
Step-by-step explanation:
hope this helps you
Answer:
8V3
Step-by-step explanation:
Luann wrote an expression showing 8 times the difference of y and 3. Select all expressions that are equivalent to the value of Luann’s expression.
8y−3
8y−11
8y−24
8y+24
8(y−3)
Answer:
8y-24 and 8(y-3)
Step-by-step explanation:
 I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE
Answer:
a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]
b) [tex][-\frac{5}{2} ,[/tex] ∞)
Step-by-step explanation:
The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.
a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.
To find this number, we can just take the denominator and solve for x:
[tex]3x + 4 = 0[/tex]
[tex]3x = -4\\x = -\frac{4}{3}[/tex]
Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.
b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.
A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:
[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]
Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).
help fast please :) :) :) :) :)
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]\sqrt{3}[/tex]/6
Step-by-step explanation:
30-60-90 triangles have legs in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2
create a proportion: (6 ÷[tex]\sqrt{3}[/tex]) = (1÷x)
cross-multiply: 6x = [tex]\sqrt{3}[/tex]
divide by 6
how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E = (4x-13)^{\circ}m∠E=(4x−13) ∘ . Find \text{m}\angle C.M∠C.
Answer:
m∠C = 44°
Step-by-step explanation:
In ΔCDE,
m∠C=(4x−16) ∘
m∠D=(6x−1) ∘
m∠E=(4x−13) ∘ .
The sum of angles in a triangle = 180°
Step 1
We solve for x
m∠C + m∠D + m∠E
(4x−16)° + (6x−1)° + (4x−13)° = 180°
4x - 16 + 6x - 1 + 4x - 13 = 180°
4x + 6x + 4x -16 - 1 - 13 = 180°
14x - 30 = 180°
14x = 180+ 30
14x = 210
x = 210/14
x = 15
Step 2
Find m∠C
m∠C = (4x−16)°
m∠C = (4 × 15 - 16)°
m∠C = (60 - 16)°
m∠C = 44°
Solve:
p−316=−212
What Is P?
Answer:
P=104
Step-by-step explanation:
-212+316=104
therefore p=104
I need helppppppppppppp
Answer:
use math
Step-by-step explanation:
for every 6 white roses, there are 8 pink roses. If the floral arrangement is proportional then how many pink roses are in a arrangement with 10 white roses
Answer:
13.33 pink roses
Step-by-step explanation:
We are told the floral arrangements are proportional , hence:
6 white roses = 8 pink roses
10 white roses = x
Cross Multiply
6 white roses × x = 10 white rose × 8 pink roses
x = 10 white roses × 8 pink roses/6 white roses
x = 13.333333333 pink roses
x ≈ 13.33 pink roses
Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B
Answer:
slope= ( 5,1 ) Y-intercept= ( 0,-7 )
Step-by-step explanation:
What number is 5/8 more than 3/16 ? Show how you calculated your answer.
Answer:
10/16
Step-by-step explanation:
Find the common factor between both
5/8 = 10/16
10/16 > 3/16
The graph of the system of equations
x + 2y = 8
3x + 6y = 13
will give:
A. parallel lines
B.
lines that coincide
C.
perpendicular lines
D.
none of these
Answer:
A. parallel lines
You can also use the app desmos to help you graph equations.
Plot two points that are 8 units from Point B and also share the same x-coordinate as Point B. y
Answer:
y
Step-by-step explanation:
Answer: I don't know I'm sorry
Show that 4x - x? – 7 is always
negative.
Help
Question No 7
Answer:
Please check the explanation.
Step-by-step explanation:
Show that 4x - x² - 7 is always negative.
Given
4x - x² - 7
4x - x² - 7 is always negative because:
-x²-7 will alwas be negative for all the values of x, The value of - x² - 7 will always be less than 4x for all the values of xHence, 4x - x² - 7 is always negative
For example,
let suppose we enter x = 1
[tex]4(1)-1^{2} -7\\=4-1-7\\=4-8\\=-4[/tex]
let suppose we enter x = -1
[tex]4(-1)-(-1)^{2} - 7\\= -4 - 1 - 7\\= -12[/tex]
Question 1
Simplify
5y - 2y + y + y
Answer:
5y
Step-by-step explanation:
(+5) - (-7)
thank you in advance
Answer:
12
Step-by-step explanation:
which statement best describes this graph?
Answer:
the second one
Step-by-step explanation:
Can someone help me? please
Answer:
0.7>0.54
Step-by-step explanation:
5 12 14 will form a acute?
True or false
No it won't. it's false
cuz proofs here.
(5²)+(12²)= (169)
√(169) = 13
.. so if 13 was the number at 14
it would have been true.
currently the answer is false
Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7
Item 6 A rectangular prism has a length of 8 meters, a width of 4 meters, and a height of 5 meters. Which equations could be used to determine the volume, V, of the prism? Select each correct answer. V = 12 × 5 V = 5 × 4 × 4 V = 8 × 4 × 5 V = 32 × 5
Answer:
I am 100% sure that the answer is 240.
Step-by-step explanation:
The volume of the prism is 160 m³ and the correct equation is V = 8 × 4 × 5.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The length, width and height of the rectangular prism are given as 8m, 4m and 5m respectively.
Since, the volume of the prism is given as the product of its length, width and sides.
For the given prism the volume can be obtained as,
V = 8 × 4 × 5
⇒ V = 160 m³
Hence, the correct equation is given as V = 8 × 4 × 5.
To know more about linear equation click on,
https://brainly.com/question/11897796
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A number, rounded to 2 decimal places, is equal to 3.84.
Write down the lower and upper bounds of the number.
Answer:
Lower bound = 3.835
Upper bound = 3.844
Step-by-step explanation:
Given,
A number rounded to 2 decimal place = 3.84
In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.
Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.
Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.
Lower bound = 3.835
The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5
Upper bound = 3.844
Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards.
Find the scale factor of ABCD to QRST and the perimeter of each rectangle.
Answer: 16 yards would be your answer
The scale factor of ABCD to QRST is 1:2
The perimeter of rectangles ABCD and QRST are 56 yards and 112 yards respectively.
Rectangle ABCD has a width of 8 yards and a length of 20 yards.
Rectangle QRST is similar to rectangle ABCD.
Rectangle QRST has a length of 40 yards.
Scale factor:Therefore, the scale factor of ABCD to QRST can be calculated as follows:
let
x = width of rectangle QRST
8 / x = 20 / 40
8 / x = 1 / 2
x = 16
The scale factor of ABCD to QRST is 1:2
Perimetersperimeter ABCD = 2(8 + 20) = 56 yards
perimeter QRST = 2(16 + 40) = 112 yards.
learn more on similar rectangles here: https://brainly.com/question/8956702?referrer=searchResults
help please ! so i can finish this assignment
Answer:
-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10
Step-by-step explanation:
Which of the following equations has a solution that is negative?
a. – 0.4x + 4 = – 1.6
b. – 0.4(x + 1.6) = 1.6
c. – 0.4(– x + 1.6) = 1.6
d. – 0.4x – 4 + 1.6x = – 1.6
Answer:
b. – 0.4(x + 1.6) = 1.6
Step-by-step explanation:
The equation with negative solution is -
- 0.4(x + 1.6) = 1.6
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the equations as shown in the question.
The equation with the negative solution are -
- 0.4(x + 1.6) = 1.6
- 0.4x - 0.64 = 1.6
- 0.4x = 1.6 + 0.64
- 0.4x = 2.24
x = - (2.24/0.4)
Therefore, the equation with negative solution is -
- 0.4(x + 1.6) = 1.6.
To solve more questions on algebraic expressions, visit the link below-
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HURRY I NEED HELP
Does the graph shown below represent Y as a linear function of x
Yes or No
Answer:
no
Step-by-step explanation:
linear functions have straight lines
so this is not a linear function
Can someone help me solve all of these problems for brainliest and a heart? please and thank you!
Answer:
Top Right Problem: PACKAGE #2 and $0.80
Bottom left: BAND and $0.05
Bottom Right: PEPSI and $0.05
