A function rule takes an input(x) and coverts into an output(y), by increasing 4 times the inpuy by 36. Write an equation for the rule and determine the output for this rule when the input is 3
Answer:
[tex]y = 4x + 36[/tex]
[tex]y = 48[/tex] when [tex]x = 3[/tex]
Step-by-step explanation:
Given
x = input
y = output
Required
Determine the equation of y
The process to get y is as follows:
Multiply x by 4: x * 4
Increase the result by 36: x * 4 + 36
Hence:
[tex]y = x * 4 + 36[/tex]
[tex]y = 4x + 36[/tex]
Solving y when x = 3
Substitute 3 for x in [tex]y = 4x + 36[/tex]
[tex]y = 4 * 3 + 36[/tex]
[tex]y = 12 + 36[/tex]
[tex]y = 48[/tex]
5x 2 - 8+ 4SOMEONE HELP PLS AND THANK U:)!!
What is the distance between points P (-3, 5) and S (6, 9) ?
Find the angle represented by x. (rounded to the nearest tenth of a degree)
The numbers 20 through 30 are written on cards and placed in a box. Explain whether the events of choosing a number that is a multiple of 3 or choosing a number that is a multiple of 4 are mutually exclusive.
A. Mutually Exclusive
B. Not Mutually Exclusive
Answer:
A. Mutually Exclusive is the correct answer
The events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.
What is Mutually Exclusive ?Mutually Exclusive means when two sets have no common elements.
What is Not Mutually Exclusive ?Not Mutually Exclusive means when two sets share common elements.
We have,
Cards numbered [tex]20[/tex] to [tex]30[/tex].
Let's
Set [tex]A =[/tex] Multiple of [tex]3[/tex]
i.e. Set [tex]A = \ \{ 21, 24,27,30\}[/tex]
Set [tex]B =[/tex] Multiple of [tex]4[/tex]
i.e. Set [tex]B = \{20,24,28\}[/tex]
So, Set [tex]A[/tex] and Set [tex]B[/tex] have common element [tex]24[/tex], so we call them Not Mutually Exclusive, from the mentioned definition we find out this.
Hence, we can say that the events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.
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n is an integer.
Write the values of n such that -15 < 3n < 6
Answer:
-5<n<2Thus ans(-4,-3,-2,-1,0,1)
Step-by-step explanation:
Divide all by 3 so that we can make n and find the value using sign
(HELP) What is the domain and range of this parabola?
Answer:
D: [0,8]
R: [0,3]
Step-by-step explanation:
The domain is the x-values covered by the graph, while the range is the y-values. So to find each, find the lowest and highest x and y value; since this graph is continuous the domain and range will include all values between these points. In this case, the lowest x is 0 and the highest is 8; the lowest y is 0 and the highest is 3. Then to write the answer write is from least to greatest, finally, surround the point by a parenthesis or bracket. The difference is that parenthesis means the value is not included while a bracket means it is. On this graph all points are included, therefore brackets should be used.
What expression below is equivalent to 3a + 12?
3(a + 12)
В.
3(a + 4)
C.
15 + a
D.
15a
Answer:
B. 3(a + 4)
Step-by-step explanation:
Divide by a factor of 3:
3a/3 = a
12/3 = 4
Therefore, 3(a + 4) is equivalent to 3a + 12.
Determine the circumference of a circle with a radius of 4 in. Use 3 as a estimate for \PiΠ
Answer:
24
Step-by-step explanation:
im not sure why 3 is estimat efor pi, usually 3.14
2pi*r
2*4*3 = 24
You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the given dimensions. 8 ft $\times$ 5 ft
Answer:
24 minutes
Step-by-step explanation:
The Dimensions of the wall are given as:
8ft × 5ft = 40ft² or 40 square feet
We are told that: You can paint 75 square feet of a surface every 45 minutes.
Hence:
75 ft² = 45 minutes
40 ft² = x minutes
Cross Multiply
75 ft² × x = 40 ft² × 45 minutes
x = 40 ft² × 45 minutes/75 ft²
x = 24 minutes
Therefore, It will takes you 24 minutes to paint a wall with dimensions 8ft × 5 ft
How would you solve x^2 -4x +2=0?!
Answer:
non liner
Step-by-step explanation:
Answer:
i completed the square and found x
Step-by-step explanation:
x = ±√2+2
x= 2 + √2, 2 - √2
Use the diagram below to solve for x and y. Please help! Fast if possible.
Answer:
x = 27
y = 29
Step-by-step explanation:
what is what what is the unit rate of what is the unit rate if armon by 6 shirts for $74.70
Answer:
7.8
Step-by-step explanation:
solve: x2 + 8x - 9 = 0
please i need it urgently
Answer:
x = 1 or x = -9
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 8 x - 9 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 9 to both sides:
x^2 + 8 x = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 + 8 x + 16 = 25
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 4)^2 = 25
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 4 = 5 or x + 4 = -5
Hint: | Look at the first equation: Solve for x.
Subtract 4 from both sides:
x = 1 or x + 4 = -5
Hint: | Look at the second equation: Solve for x.
Subtract 4 from both sides:
Answer: x = 1 or x = -9
Evaluate 3/8 with an exponent of 2
Answer:
9/64
Step-by-step explanation:
In AGHI, h = 300 inches, ZG=30° and ZH=29º. Find the length of i, to
the nearest inch.
prove the two triangles congruent.
sas
sss
asa
aas
hl
not congruent
Answer:
SAS because there congruent and each side has the same degree
Step-by-step explanation:
Use the figure and find LN, if LM=6x and MN=2x+12
Answer:
LN
= LM + MN
= 6x + 2x + 12
= 8x + 12
i need help someone help pls and thx
Answer: there are no x intercepts
Step-by-step explanation: this graph will continue on both ends away from the x axis, and it never crosses it
Answer: b think
Step-by-step explanation: b
is this a function? pls help
Answer:
It would be no
4 in.
5 in.
6 in.
I
Emelina loaded 96 trucks in 8 hours. At that rate, how many trucks
would she load in 15 minutes?
Answer:
3
Step-by-step explanation:
60 × 8 = 480 (mins)
96 (trucks) = 480 (mins)
÷32 (I got this number by dividing 480 by the desired amount of mins which was 15)
3 = 15
So 3 trucks would have been loaded in 15 mins
Does this problem have a solution yes or no?
Answer:
Yes.
Step-by-step explanation:
Simplify the following:
A) 4^9 x 4^3
B) 6^5x 6^2
C) 8^6 divide by 8
d) 7^8 divide by 7^6
Answer:
A. 4^12
B.6^7
C.8^7
D.7^2
Use the figure at the right to answer questions 9-12.
Answer:
9.) 5x - 18 = 4x + 7 10.) x = 25 11.) m∠MNQ = 107° 12.) m∠MNR = 73°
Step-by-step explanation:
9. & 10.)
∠MNQ and ∠RNP are vertical angles meaning they are equivalent to each other. Knowing that, we can set their values equal to each other and solve for x.
5x - 18 = 4x + 7 (Given)
x - 18 = 7 (Subtract 4x on both sides)
x = 25 (Add 18 on both sides)
Therefore, we know the equation is 5x - 18 = 4x + 7 and we know that x = 25.
Now we can solve for the angles.
11.)
5(25) - 18
125 - 18 = 107
Therefore, m∠MNQ = 107°.
12.)
∠MNR and ∠MNQ are supplementary angles meaning their angles will add up to 180°
∠MNR + 107 = 180
∠MNR = 73
Therefore, m∠MNR = 73°.
Write an equation to find x by substituting.
3. What does it mean to substitute here?
5x - 2 = 3x +4
Answer:
3
Step-by-step explanation:
5x-2=3x+4
5x-3x=4+2
2x=6
x=3
An object has a mass of 235 g and a volume of 655 cm? What is its density?
Answer:
the answer is 235/655= 0.358778
Work out the value of (6.8 x 10^2) x (1.3 x 10^-3)
Answer:
worked it out.
Step-by-step explanation:
0.884
8×84×10-1
The Mallards pay their two quarterbacks $7.2 million and $1.4 million. If the team salary is $33 million a year and their budget for quarterbacks is 25% of total salaries. Are they over budget? a) Yes b) No
Answer:
a) Yes
Step-by-step explanation:
The computation is shown below:
Given that
Their two quarterbacks is $7.2 million and $1.4 million
Its total is
= $7.2 million + $1.4 million
= $8.6 million
Now if the team salary is $33 million
And their budget is 25% of total salaries
i.e.
= $33 million × 25%
= $8.25 million
So as we can see that it it overbudget as the target is $8.25 million but it is $8.6 million
SO, the correct option is a.
Answer:
Yes
Step-by-step explanation:
If x and y vary directly, and x 60 when
y= 5, what is the value of y when x =36?
Answer:
-19
Step-by-step explanation:
36 is 24 less than 60 so that means they subtracted to get 36 so subtract 24 from five and boom -19