Given:
[tex]F=\dfrac{9}{5}C+32[/tex]
where, F is degree Fahrenheit and C is degree Celsius.
To find:
Whether there is a proportional relationship between C and F.
Solution:
We know that, proportional relations is defined as
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).
If there is a proportional relationship between C and F, then the equation must be true for (0,0).
Substituting F=0 and C=0 in the given equation, we get
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is false because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
PLS
SOLVE !!!!
I WILL MARK THE BRAINLIEST
Answer:
A is two; B is nine; C is one
Good Luck!
a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.
b) if C is 1, then in the ones place, B+A must = 11
c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2
find the slope
help with this please it’s due soon :)
A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can the bag hold when filled?
Help I mark brainliest
Answer:
-r ^3
Step-by-step explanation:
(20 POINTS PLEASE HELP)
Find the reciprocal of the expression.
10b/2b+8
See image attatched below for the options given
Answer:
it the first one cause you adding so it 8b plus 2
The admission fee at an amusement park is $1.50 for children and $6.40 for adults. On a certain day, 286 people entered the park, and the admission fees collected totaled $1164. How many children and how many adults were admitted?
Answer:
Adult= 150 and Children=136
Step-by-step explanation:
it's asking me to order them from least to greatest how do I do that with tables
Hi there! Hope this helps.
Answer:
Look below.
Step-by-step explanation:
I didn't know if you wanted the answer or just an explanation, so I'll give you an explanation for now.
Look at all of the tables and find the one with the smallest, 2nd smallest, and 3rd smallest numbers and keep going up until you get to the biggest number.
Step by step please
9x^2 -3х + 16 = 6
Answer:
Step-by-step explanation:
Rewrite
9
x
2
as
(
3
x
)
2
.
(
3
x
)
2
−
16
Rewrite
16
as
4
2
.
(
3
x
)
2
−
4
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
3
x
and
b
=
4
.
(
3
x
+
4
)
(
3
x
−
4
)
I WILL GIVE BRAINLIEST
Answer:
it should be b but if i'm wrong im really sorry :(
Step-by-step explanation:
⎧ y=4x(x−2) x+y=2 One of the solutions to this system is (2,0)(2,0)left parenthesis, 2, comma, 0, right parenthesis. Find the other solution. Your answer must be exact. ((left parenthesis ,,comma ))
hii i need help again.
Find the total cost to the nearest cent.
$49.95 pair of shoes: 5% tax
Answer:
2.49 or 2.50
Step-by-step explanation:
Answer:
= 52.4475 rounded to nearest cent = 52.44
Step-by-step explanation:
Plz mark brainliest!!!
Find the value of X and Y in this triangle.
Step-by-step explanation:
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
Answer:
[tex] \sin(60) = \frac{45}{x} \\ [/tex]
[tex] x = \frac{45}{ \sin(60) } [/tex]
x=5 1.96
Step-by-step explanation:
[tex] \tan(30) = \frac{y}{45} [/tex]
[tex]y = 45 \tan(30) [/tex]
y=25.98
the function f(x) is defined by the set of ordered pairs {(5,-2),(-6,-2),(3,-2),(4,-2)
Answer:
Assuming it is a constant function.
[tex]f(x)=0x-2[/tex]
Step-by-step explanation:
(5,-2)
(-6,-2)
(3,-2)
(4,-2)
From the points, we can see that for any value of [tex]x[/tex], the function will give -2. The graph of this function will be a horizontal line, parallel to the [tex]x[/tex]-line passing the y-intersect point -2.
So the function might be
[tex]f(x)=0x-2[/tex]
If it is a constant function.
I'm considering that there are no discontinuities.
Answer:
Domain: x>=-6
Range: y=-2
Step-by-step explanation:
I think this is the one but I’m not entirely sure
Write a function rule for the area of a rectangle whose length is 5in. more than its width. what is the area of the rectangle when its width is 8in.?
Answer:
40in^2
Step-by-step explanation:
If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
Answer:
=29
Step-by-step explanation:
2f(b)=28
divide by 2
f(b)=14
f(b)=3b-1
3b-1=14
add 1 on both sides
3b=15
divide by 3
b=5
f(5)=14
let's plug that in
f(2×5)=3(2×5)-1
f(10)=30-1
f(10)=29
The value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 3x - 1 and 2f(b) = 28
Plug x = b
f(b) = 3b - 1
2f(b) =2(3b - 1)
2f(b) = 28
28 = 2(3b - 1)
b = 5
f(2b) = f(2(5)) = f(10)
f(10) = 3(10) - 1
f(10) = 30 - 1 = 29
Thus, the value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.
Learn more about the function here:
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#SPJ2
which angle is DEF has the largest measure?
Answer:
angel F
Step-by-step explanation:
PLEEEEAASEEE HEEELPPP MEEE
Answer:
The measure of the vertex angle is 100°
Step-by-step explanation:
In Δ MNO
∵ Δ MNO is an isosceles triangle with base MO
∴ NM = NO
→ In an isosceles triangle, the base angles are equal in measures
∵ ∠M and ∠O are the base angles isosceles ΔMNO
∴ m∠M = m∠O
∵ m∠M = (3x + 10)°
∵ m∠O = (5x - 10)°
→ Equate their measures
∴ 5x - 10 = 3x + 10
→ Add 10 to both sides
∵ 5x - 10 + 10 = 3x + 10 + 10
∴ 5x = 3x + 20
→ Subtract 3x from both sides
∴ 5x - 3x = 3x - 3x + 20
∴ 2x = 20
→ Divide both sides by 2 to find x
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]
∴ x = 10
→ Substitute the value of x in the measures of ∠M and ∠O to find them
∵ m∠M = 3(10) + 10 = 30 + 10
∴ m∠M = 40°
∵ m∠O = 5(10) - 10 = 50 - 10
∴ m∠O = 40°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ m∠M + m∠O + m∠N = 180°
∵ 40 + 40 + m∠N = 180
→ Add the like terms
∴ 80 + m∠N = 180
→ Subtract 80 from both sides
∴ 80 - 80 + m∠N = 180 - 80
∴ m∠N = 100°
∵ ∠N is the vertex angle of Δ MNO
∴ The measure of the vertex angle is 100°
Company A charges $3.25 per spirit banner. The equation C=2.45x represents the cost in dollars, C, for x spirit banners at Company B. How much more would it cost to purchase 80 spirit banners from the more expensive company?
Answer:
$64.00
Step-by-step explanation:
Company A:
C = 3.25x
3.25 x 80 = 260
Company B:
C = 2.45x
2.45 x 80 = 196
How much more?
260 - 196 = 64
Difference in Total price for 80 unit is $84
Given that;Per spirit cost in company A = 3.5 per spirit
Cost equation for company B = C = 2.45x
Find:Difference in Total price for 80 unit
Computation:Difference in Total price for 80 unit = 80[3.5 - 2.45]
Difference in Total price for 80 unit = 80[1.05]
Difference in Total price for 80 unit = $84
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Alright I need another one before I fail again please I have 3
Answer:
Answer:
9.46 = y
Step-by-step explanation:
=================================================================
You have to use the cosine function equation.
cos(38) =
Multiply 12 on both sides.
12cos(38) = y
Solve.
9.46 = y
How to know which one to use:
Sin, Cos, Tan, Sec, Cosec, and Cot
Sin function is to do opposite number side length over the hypotenuse number side
Cos function is to do adjacent (side length that is next to angle) over the hypotenuse
Tan function is to do Opposite over Adjacent,
These are the inverse of each one
Sec is hypotenuse over opposite (inverse of Sin)
Cosec is hypotenuse over adjacent (Inverse of Cos)
Cot is Adjacent over Opposite (Inverse of Tan)
=================================================================
Find point
on the x-axis so that AC + BC is a minimum.
A(4,-5), B(12,3)
Answer:-3
Step-by-step explanation:
The minimum value of a function can be obtained from its derivative
The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]
Reason:
Let (d, 0) represent the coordinate of the point, on the x-axis, we have;
[tex]\overline{AC}[/tex]² = (4 - d)² + (-5)²
[tex]\overline{AC}[/tex] = √((4 - d)² + (-5)²)
[tex]\overline{BC}[/tex]² = (12 - d)² + 3²
[tex]\overline{BC}[/tex] = √((12 - d)² + 3²)
[tex]\overline{AC}[/tex]² + [tex]\overline{BC}[/tex]² = L = 4² + (-5 - d)² + 12² + (3 - d)²
When [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] is minimum, we have;
[tex]\lim_{n \to \infty} a_n \dfrac{d}{dd} (\overline{AC} + \overline{BC}) = \dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = 0[/tex]
Which gives;
[tex]\dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = \dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8\cdot d + 41} }[/tex]
Therefore;
[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} } = 0[/tex]
[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } =- \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} }[/tex]
Squaring both sides and cross multiplying gives;
16·d² - 528·d + 3456 = 0
Which gives;
16·(d - 24)·(d - 9) = 0
Therefore, d = 24, and d = 9
The point (9, 0), is closer to the given points than the point (24, 0), therefore;
The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]
Learn more here:
https://brainly.com/question/17117378
i don't understand the problem or how to solve it please brake I down
Step-by-step explanation:
jm sorry, I've never done anything like this in math.
Can someone explain this to me if you can.
Answer: I wish I can help, but I don't know how to explain it
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
Answer:
50
Step-by-step explanation:
5 times 5 =25
25 times 2 =50
What is the y-intercept of the function y = 3x + 33 ?
Answer:
33
Step-by-step explanation:
Answer:
it is 33 because you start off at 0 with 33
Step-by-step explanation:
What makes a quadratic function unique?
Answer:
The graph of a quadratic function is a curve called a parabola which makes a quadratic function unique.
Step-by-step explanation:
Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape which makes it easy to identify.
Hope it helps.
Answer:
Step-by-step explanation:
Maybe that can be solve in so
-maybe diferent ways like graphicly, quadratic equation, factoring, form a perfect square...
-maybe because it has real, imaginary roots, or equal roots
SHOW YOUR WORK
43.01-2.75
Answer:
the answer is 40.26, you first subtract 2 to get 41.01 then subtract .75 to get 40.26, not exactly sure what work you want to be shown
Step-by-step explanation:
so far, Jim has burned 5.22 calories. He wants to burn a total of 600 calories. how many more calories must jim burn?
Answer:
594.78
Step-by-step explanation:
600-5.22 = 594.78
Answer:The answer should be 626.4
Step-by-step explanation:
Which of them is true?
A. [ -18]< 6
B.[ -6] < [ -8]
C.[8]<[-6]
D.[-6] < -8
Answer:
B. |-6| < |-8|
Step-by-step explanation:
The absolute value will always make the number positive. B is the only option in which (once absolute value is used) will make a true statement.
|-6| < |-8| = 6 < 8
( 6 is less than 8 )
Need some help with this question
Answer:
iba nalang
Step-by-step explanation:
just tell someting wag yan
1. -
2. ×
3.÷
i guess these r the answers
M divided by n times x , x ≠