Answer:
y = 1/4 x - 5/4
Step-by-step explanation:
y = 4x + 5
Switch x and y.
x = 4y + 5
Solve for y.
4y = x - 5
y = 1/4 x - 5/4
The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]
The given function is:
y = 4x + 5
To find the inverse of the given function y = 4x + 5, follow the following steps:
Make x the subject of the formula:
[tex]y = 4x + 5\\\\4x = y - 5\\\\x = \frac{y}{4}-\frac{5}{4}[/tex]
Replace x by [tex]f^{-1}(x)[/tex] and replace y by x.
The resulting function represents the inverse of the function y = 4x + 5
[tex]f^{-1}(x)=\frac{x}{4}-\frac{5}{4}[/tex]
Which can be further simplified as:
[tex]f^{-1}(x) = \frac{x-5}{4}[/tex]
The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]
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Why is -2.2 x (-3.7) = -8.14 wrong ?? I need a reason to see why it’s wrong
it is a positive integer because there are 2 negatives. when you are multiplying or dividing negatives, it always makes a positive
If side AB is parallel to side DC, how are side A'B' and side D'C' related? Explain.
On Monday morning, Megan had a balance of $17 on her lunch card. The cost of a pizza is $4.50. Megan bought a pizza every day for 5 days. What is Megan's balance at the end of the 5 day school week?
Answer choices:
(x + 0, y -12)
(x + 8, y - 6)
(x + 1, y - 13)
(x - 7, y - 3)
(x + 10, y + 0)
50°
25°
12x-3
Find the x
Answer:
X=9
Step-by-step explanation:
We want to first understand that a triangle will always be 180°. Next, we want to look at both where 25° and 12x-3 are. If we look closely we can see that they are the vertical angles of the interior angles of the triangle. To solve this algebraically we have to basically add all the angles (including 12x-3) to solve for x.
Adding all the angles together would look like this: 25+50+12x-3. Next, add up all like terms to get 12x+72=180. You want to get x by itself by subtracting by 72 on both sides to get 12x=108. Isolate x by dividing by 12 on each side which results in x=9
A = bh; A = 16, h = 8
B=
Help please and thank you
Answer:
b has to be 2
Step-by-step explanation:
if a equals 16
h equals 8
then b would have to be 2 because 8x2 is 16
Answer:
B=2
Step-by-step explanation:
If A equals 16 after multiplying b and h together and h is 8 then b would be 2 since 8 times 2 is 16.
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.
Answer:
x times 8 I'm pretty sure
Solve the inequality. Q No. 1
-2(x - 5) < -x + 3
Answer:
x>7
Step-by-step explanation:
-2(x - 5) < -x + 3
-2x + 10 < -x + 3
-2x + x < 3 - 10
-x < -7
-x / -1 < -7 / -1
x > 7
Answer:
X < 7
Step-by-step explanation:
Simplify 8 over negative 3 divided by negative 4 over 9 . (5 points)
-8
-6
6
8
Answer:
6
Step-by-step explanation:
(8/3) / (-4/9)
when dividing fractions you use the acronym k.c.f (keep change flip)
keep the first fraction
change the operation (divide to multiply)
flip the other fraction
(8/-3) x (9/4)
after re-writing your expression, you want to solve
do this by multiplying both numerators by each other and same with the denominators
(-8x9) / (3x-4)
then you get a new fraction,
-72/-12
simplify,
-72/-12 = 6 (multiplying/dividing 2 negatives will always give you a positive)
Answer:
6
Step-by-step explanation:
6
Did on test hope it helps
What is the percent if we go from 12 to 23?
Answer:
91.67%
Step-by-step explanation:
find diff between 12 and 23 as a number
divide that number from step on by 12
multiply the result from step 2 by 100
Please help me. I will give 25 points..
Answer:
a. Given
b. Given
c. Linear Pair Postulate
d. Same side interior angle theorem
e. Converse of same side interior angle theorem
Step-by-step explanation:
Linear Pair Postulate – says that “If two angles form a linear pair, then those angles are also going to be supplementary.”
Same side interior angle theorem – says that “If two lines are parallel and same side interior angles are formed, then the angles will be supplementary to one another.”
Converse of same side interior angle theorem – says that “If same side interior angles are supplementary, then the lines that form them will be parallel to one another.”
Is it possible to have more than one (x,y)(x,y) pair that is a solution to both equations? Explain or show your reasoning
Here are the two equations:
Equation 1: 6x+4y=34
Equation 2: 5x-27=15
Answer with step-by-step explanation:
Yes, it is possible to have more that one (x,y) pair because of the distributive property.
6x + 4y = 34. If this is the case, we have to find 2 numbers that sum up to 34.
x = 3y = 45x - 27 = 15. If we are going to calculate this equation, you need to reverse the equation. 15 + 27 = 42 = 5x. If 42 = 5x, we have to divide 42 by 5, which is 8.4
Hope this helped! (brainliest please)
Rewrite each of these statements so that negations appear only within predicates (that is, so that no negation is outside a quantifier or an expression involving logical connectives). a) ¬∃y∃xP (x, y) b) ¬∀x∃yP (x, y) c) ¬∃y(Q(y) ∧ ∀x¬R(x, y)) d) ¬∃y(∃xR(x, y) ∨ ∀xS(x, y)) e) ¬∃y(∀x∃zT (x, y, z) ∨ ∃x∀zU (x, y, z))
Answer:
Follows are the solution to the given point:
Step-by-step explanation:
In point a:
¬∃y∃xP (x, y)
∀x∀y(>P(x,y))
In point b:
¬∀x∃yP (x, y)
∃x∀y ¬P(x,y)
In point c:
¬∃y(Q(y) ∧ ∀x¬R(x, y)) [tex]\equiv[/tex] ∀y(> Q(y) V ∀ ¬ (¬R(x,y)))
∀y(¬Q(Y)) V ∃xR(x,y) )
In point d:
¬∃y(∃xR(x, y) ∨ ∀xS(x, y))
∀y(∀x>R(x,y)) [tex]\wedge[/tex] ∃x>s(x,y))
In point e:
¬∃y(∀x∃zT (x, y, z) ∨ ∃x∀zU (x, y, z))
∀y(∃x ∀z)>T(x,y,z) [tex]\wedge[/tex] ∀x ∃z> V (x,y,z))
In Joel's town, about 33 out of 100 cats are black. If Joel walks by 21 cats in 1 week, predict how many of those cats are black?
Answer:
7 cats are black
Step-by-step explanation:
Since 33 out of 100 cats are black then that means that 33% of the cats are black.
Since he walked by 21 cats 33% of them are most likely black.
So you do .33 x 21= 6.93 which can be rounded up to 7 cats
5/3=50/t Solving proportion
Answer:
T=30
Step-by-step explanation:
5t=3*50
5t=150
divide 5
t=30
Write an equation of the line passing through point P(4,−6) that is perpendicular to the line y=−3.
x=
Answer:
ummm im sorry i will answer in the comments
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
if you plot y= -3 and the point (4,-6) you will see that the only answer can be x=4
What are the values of x and y if this equation is true?
22(x + yi) + (28 + 4i) 72 – 62i
Answer:
x = 2
y = -3
Step-by-step explanation:
The given equation is,
22(x + yi) + (28 + 4i) = 72 - 62i
By solving this equation further,
22x + 22yi + 28 + 4i = 72 - 62i
(22x + 28) + (22y + 4)i = 72 - 62i
Now both the sides of the equation is in the form of complex number,
By comparing real and imaginary parts given on both the sides,
22x + 28 = 72
22x = 72 - 28
22x = 44
x = 2
22y + 4 = -62
22y = -62 - 4
22y = -66
y = -3
Therefore, x = 2 and y = -3 are the values for which the given equation is true.
Vision Source has a pair of glasses that are 20% more than the same pair of glasses at ABC Eye. If the glasses are $85 at ABC Eye, then how much more will you pay at Vision Source?
Answer:
the answer is $102
Step-by-step explanation:
because %20 is equal to $17
Rewrite in simplest terms: -7(2u-6v)-7v-3(10v+u)
Answer:
-11u-65v
Step-by-step explanation:
1) Pemdas
-7(2u-6v)-7v-3(10v+u)
-14u-42v-7v-30v+3u
2)Combine Like Terms
-14u-3u -42v-7v-30v
3) Solve
-11u-65v
Solve the system of equations without graphing. Explain or show your reasoning.
{2y=x−4
{4x+3y=5
Answer:
(2, -1)
Step-by-step explanation:
We can subtract x from both sides from the first equation, then multiply the first equation by 4, so it's easier to solve later:
-4x+8y = -16
4x+3y = 5
Then, we can add the 2 equations, so the x cancels out:
11y = -11
y=-1
Now, we can plug y as -1 to any of the equations above:
4x+3*(-1)=5
4x=8
x=2
Therefore, the solution to these 2 equations are (2, -1)
The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of equations is given below.
x = 2y + 4 ...1
4x + 3y = 5 ...2
From equations 1 and 2, then we have
4(2y + 4) + 3y = 5
8y + 16 + 3y = 5
11y = - 11
y = -1
Then the value of 'x' is given as,
x = 2 (-1) + 4
x = - 2 + 4
x = 2
The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.
More about the solution of the equation link is given below.
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susie purchased a dress on sale for $22.36. this is 85% of the original price. what was the original price?
Answer:
I would say probably 26.31 because 85% of 26.31 is 22.3635.
Hope this helps!
Solve the equation -3(c - 1) +7c =27
Answer:
c=6
Step-by-step explanation:
u simplify it and u get
4c+3=27
4c=24
c=6
Answer:
c= 6
Step-by-step explanation:
We can use distributive property to solve the answer.
-3(c-1)+7c= 27
-3c+3+7c
4c+3= 27
-3 -3
4c= 24
c= 6
Hope this helps!
Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?
Answer:
fafg and then do the 2a ab 2b
Step-by-step explanation:
Solve the following equation algebraically. Show your work.
17 = -13 – 82
Will mark brainliest
The ratio between earths actual diameter and it’s scaled diameter can be used to find the scaled diameter of the other planets. Earths diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table. Now let’s find the scaled diameter of Mars as an example. Using the calculations shown, Mars diameter of 6,792 would be scaled to 1.9 centimeters. Use this same process to complete the table with the scaled diameters of the other planets. Round each answer to the tenths place.
Answer:
Mercury 1.3, Venus 3.3, Jupiter 39.2, Saturn 33.1, Uranus 14, Neptune 13.6
Step-by-step explanation:
The scaled diameter of each planet is:
Mercury - 1.3 cm
Venus - 3.3 cm
Jupiter - 39.2 cm
Saturn - 33.1 cm
Uranus - 14 cm
Neptune - 13.6 cm
Given,
The ratio between the earth's actual diameter and its scaled diameter can be used to find the scaled diameter of the other planets.
Earth's diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table.
Using the calculations shown, Mars's diameter of 6,792 would be scaled to 1.9 centimeters.
Use this same process to complete the table with the scaled diameters of the other planets.
Round each answer to the tenths place.
What does it mean to be in proportion?If two given ratios are equal we say that the ratios are in proportion.
Example:
1/2 and 4/8 are in proportion.
- 1/2
- 4/8 = 1/2
We have,
Earths diameter = 12,756 km
It is scaled to 3.5 cm
The ratio is:
= 12,756 km /3.5 cm
Since each planet is in proportion with each planet.
We have,
Let the scaled diameter be d.
- Mercury d
12,756 / 3.5 = 4879 / d
d = (4879 x 3.5) / 12756
d = 1.3 cm
- Venus d
12,756 / 3.5 = 12104 / d
d = (12104 x 3.5) / 12756
d = 3.3 cm
- Jupiter d
12,756 / 3.5 = 142984 / d
d = (142984 x 3.5) / 12756
d = 39.2 cm
- Saturn d
12,756 / 3.5 = 120,536 / d
d = (120536. x3.5) / 12756
d = 33.1 cm
- Uranus d
12,756 / 3.5 = 51118 / d
d = (51118 x 3.5) / 12756
d = 14 cm
- Neptune d
12,756 / 3.5 = 49, 528 / d
d = (49528 x 3.5) / 12756
d = 13.6 cm
Thus the scaled diameter of each planet is:
Mercury - 1.3 cm
Venus - 3.3 cm
Jupiter - 39.2 cm
Saturn - 33.1 cm
Uranus - 14 cm
Neptune - 13.6 cm
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If it costs 13 dollars for 9 books, how much does 1 book cost?
Answer:
1.4444444444444
Step-by-step explanation:
Hope this helps
Answer:
$1.44
Step-by-step explanation:
Your ratio is 13 dollars PER 9 books.
Turn it into a fraction: 13/9
Then divide.
We get 1.444... which can be rounded to 1.44
y - 3 = 2/5(x + 7) what is the slope
Answer:
2/5
Step-by-step explanation:
Let's simplify this equation to find the slope. I am going to make this into
y = mx+b form where m is the slope and b is the y-intercept.
y - 3 = 2/5(x+7)
y - 3 = 2/5(x) + 14/5
y = 2/5(x) + (14/5 + 3)
y = 2/5(x) + 29/15
The slope of this equation is 2/5
Someone help me please!
Answer:
Ok: X = 9
Step-by-step explanation:
We have
3x + (15x + 18) = 180
or
18x+18 = 180
or
18(x+1) = 180
or
x + 1 = 180/18
or
x + 1 = 10
or x = 9.
Answer:
9
Step-by-step explanation:
3x+15x+18=180
-18. -18
3x+15x=162
18x=162
/18. /18
x=9
Find the missing number in this sequence
1,0,1,1,0,1,_,1,0,1,1,1,1,0...
What is the value of x?
Answer:
x=70
Step-by-step explanation
[tex]\\180-45=135\\\\135=2x-5\\add5\\140=2x\\divide2\\x=70[/tex]
<3
Red
Answer:
x=70
Step-by-step explanation:
45+ (2x-5)=180 ....... as they are same side interior angles.
2x+40=180
2x=140
x=70
hope i helped !!! :)
( if it is right, pls give brainiest)
