Answer:
f(x+6)= 3x + 30
Step-by-step explanation:
Whenever you have to evaluate a function with a certain value, replace the variable x with a certain value. In this case, substitute x with the value of (x+6). You get the equation f(x+6)= 3(x+6) + 12, which simplifies into f(x+6)= 3x + 18 +12, which further simplifies into f(x+6)= 3x + 30.
Hank's pickup can travel 95 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 76 miles?
Answer:
miles/gallons: 80/5 = 48/g
Cross multiply
80g = 240
g = 3 gallons
Step-by-step explanation:
4 gallons will Hank's pickup need to travel 76 miles.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
Hank's pickup can travel 95 miles on 5 gallons of gas.
95 miles ⇒ 5 gallons of gas
76 miles ⇒ X
95X = 76 × 5
X = [tex]\frac{76(5)}{95}[/tex]
X = 4
4 gallons will Hank's pickup need to travel 76 miles.
Find out more information about unitary method here
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Simplify. (5x4 + 3)2 A. 25x8 + 30x4 + 9 B. 10x8 + 30x4 + 6 C. 25x16 + 30x4 + 9 D. 25x8 + 9
Answer:
The answer is option AStep-by-step explanation:
( 5x⁴ + 3)²
( 5x⁴ + 3)(5x⁴ + 3)
Expand using FOIL
That's
(5x⁴)(5x⁴) + 5x⁴(3) + 3(5x⁴) + 3(3)
We have
[tex]25 {x}^{8} + {15x}^{4} + {15x}^{4} + 9[/tex]Add and simplify like terms
We have the final answer as
[tex] {25x}^{8} + {30x}^{4} + 9[/tex]Hope this helps you
please solve for x, and give me an explanation on how you did so? 1/2x-1/3=5/6
=======================================================
Explanation:
Fractions are a pain to deal with, so whenever possible I recommend you eliminate them. With equations like this, you can multiply both sides by the same number to do so. The question is: which number would that be?
If you pick on the LCD, then you'll be able to clear out the fractions. The LCD of 1/2, 1/3, and 5/6 is 6 since the LCM of the denominators is 6.
Multiply both sides by 6 to get
(1/2)x - 1/3 = 5/6
6*[ (1/2)x - 1/3 ] = 6(5/6)
6*(1/2)x - 6*(1/3) = 6(5/6)
3x - 2 = 5
------------
At this point, the fractions are gone. We can now solve like so
3x-2 = 5
3x-2+2 = 5+2 ... adding 2 to both sides
3x = 7
3x/3 = 7/3 .... dividing both sides by 3
x = 7/3
Answer:
x=5/6
Step-by-step explanation:
12x−13=5612x-13=56
Combine 1212 and xx.
x2−13=56x2-13=56
Move all terms not containing xx to the right side of the equation.
Add 1313 to both sides of the equation.
x2=56+13x2=56+13
To write 1313 as a fraction with a common denominator, multiply by 2222.
x2=56+13⋅22x2=56+13⋅22
Write each expression with a common denominator of 66, by multiplying each by an appropriate factor of 11.
Multiply 1313 and 2222.
x2=56+23⋅2x2=56+23⋅2
Multiply 33 by 22.
x2=56+26x2=56+26
Combine the numerators over the common denominator.
x2=5+26x2=5+26
Add 55 and 22.
x2=76x2=76
Multiply both sides of the equation by 22.
2⋅x2=2⋅
Combine the like terms to create an equivalent expression:
3
z
+
2
+
(
−
5
z
)
+
6
Answer:
-2z+8
Step-by-step explanation:
[tex]3z+2+(-5x)+6\\\\=3z+2-5x+6\\\\=(3z-5z)+(2+6)\\\\=(-2z)+(8)\\\\=-2z+8[/tex]
At Emily’s closet 1/3 of the cloths are white and 1/5 are black what. What fraction of Emilly’s clothes are black and white ?
8/15
Since 1/5 and 1/3 have different denominators, they cannot be added directly.Multiply the denominators (5×3=15)Multiply each with the other denominator 3×(1/5)=3/15, 5×(1/3)=5/15Now, 3/15 +5/15=8/15
Answer:
5/8
Step-by-step explanation:
Solve
for x.
9x-7=-7 I need the steps please
Answer:
x=0
Step-by-step explanation:
9x-7=-7
Add 7 to each side
9x -7+7 = -7+7
9x = 0
Divide each side by 9
9x/9 = 0/9
x = 0
Answer: x = 0
Step-by-step explanation:
9x -7 = -7 First add 7 to both sides
+7 +7
9x = 0 Now divide both sides by 9
x = 0
What is the formula of area
Answer:
Square: Area = S²
Rectangle: Area = lw (L x W)
Triangle: Area = bh/2
Circle: Area = 3.14(r)²
Which expression can be used to convert 22 Australian dollars to US dollars? Assume 1.2 Australian dollars equals 1 US dollar. hellllp
Answer:
$22 aud x 1usd/1.2 Aud
Answer:
13.32 US Dollars
Step-by-step explanation:
22 divided by 1.2 is 18.33333333
round that to 18.3 then work out the us dollars to the australian dollars and you get 13.32
Two lines in the same plane that will not intersect are parallel. always sometimes never
Answer:
Always
Step-by-step explanation:
If two lines are coplanar and will not intersect, they are parallel.
I WILL MARK YOU BRAINLIEST. Xavier decorated his paper with stickers. He put 3 stickers on his paper. Each sticker is 1/8 inches wide and 2/5 inches long. What is the total area, in square inches, of all of the stickers Xavier used?
Answer:
3x1/8x2/5=3/20
Step-by-step explanation:
Anne and Nancy use a metal alloy that is 21.8% copper to make jewelry. How many ounces of a 13% alloy must be mixed with a 29% alloy to form 140 ounces of the desired 21.8% alloy?
Answer: 63.13%
Step-by-step explanation:
given data:
copper = 21.8%
0.13%x + 29%(140-x) = 21.8%(140)
open the brackets
0.13x + 40.6 - 0.29x = 30.5
collect like terms
0.13x - 0.29x = 30.5 - 40.6
–0.16x = –10.1
divide both sides by – 0.16
–0.16x / – 0.16 = –10.1 / –0.16
x = 63.13%
A researcher randomly selected 30 people to participate in a study to investigate which of two materials, A or B, used in the heels of sneakers will last longer. The researcher is considering two design types for the study.
Design 1: Randomly assign 15 participants to wear sneakers with material A on their left feet and material B on their right feet. The remaining participants will wear sneakers with material B on their left feet and material A on their right feet.
Design 2: Randomly assign 15 participants to wear sneakers with material A on both feet and the remaining participants to wear sneakers with material B on both feet.
Which of the following best describes each design?
Answer:
Design 1
Step-by-step explanation:
Design one would work better because the students get to see both materials (each on one foot) and if they do the same things each day with both feet, they can test how the material works with the activity...If that makes sense
The question is an illustration of a random selection.
The descriptions of the designs are:
Design 1 is a matched pair designDesign 2 is a completely randomized design.Design 1
From the question, we understand that:
15 participants wear material A on the left feet, and material B on the right feet.The other 15 wear material B on the left feet, and material A on the right feet.The above description is a matched pair design, because half of the participants gets randomly assigned to material A and B, while the other half gets automatically assigned to the remaining materials.
Design 2
From the question, we understand that:
15 participants wear material A on both feetThe other 15 wear material B on both feetThe above description is a completely randomized design, because half of the participants gets randomly assigned to material A, while the other half gets randomly assigned to material B.
Read more about random selections at:
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number 8 please! i kinda need help ASAP please! it’s due tomorrow
Answer: Answer is in the steps
Step-by-step explanation:
The perfect square that is less than 15 is 9 and greater 15 is 16 and the square root of 15 falls between 3 and 4 because 3 times 3 is 9 and 4 times 4 is 16.
First row: 9 < 15 < 16
Second row [tex]\sqrt{9} < \sqrt{15} < \sqrt{16}[/tex]
Third row ; 3 < [tex]\sqrt{15}[/tex] < 4
Order the set of numbers from least to greatest:
Translate sentence into an equation. Then ſind each number.
1. Seven more than three times a number is 16.
How to translate it
Answer:
This is the equation
Step-by-step explanation:
7 + 3x = 16
Please mark as brainliest.
Help please!!
Which edges are perpendicular to PR
Select each correct answer
TR
QT
RA
TJ
HP
Answer:
QT. . . . . . . . . . . . . . . I think
help me w/ this asap
Answer:
(12,infinity)
Step-by-step explanation:
I eliminated A and C because you can't do open brackets without closing them. I eliminated the negative infinitys because it said that P was bigger than 12.
Help please Is this correct?, I don't know if I did this right.
Answer: Infinitely many solutions
Any real number works for x
==============================================
Work Shown:
[tex]6 - 2x - 1 = 4x+5 - 6x\\\\-2x+6 - 1 = 4x - 6x+5\\\\-2x+5 = -2x+5[/tex]
We get the same identical expression on both sides. So plugging any number in for x leads to getting the same number on both sides.
-----------
For instance, if x = 0,
[tex]-2x+5 = -2x+5\\\\-2(0)+5 = -2(0)+5\\\\5 = 5\\\\[/tex]
which is a true statement. The same happens when we plug x = 0 into the original equation
[tex]6 - 2x - 1 = 4x+5 - 6x\\\\6 - 2(0) - 1 = 4(0)+5 - 6(0)\\\\6 - 0 - 1 = 0+5 - 0\\\\5 = 5\\\\[/tex]
What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? a. 20 b. 32 c. 44 d. 48
Answer:
c. 44
Step-by-step explanation:
½m - ¾n = 16
½m - (¾×8) = 16
½m - 6 = 16
½m = 16 + 6
½m = 22
m = 44
Answer:
c 44
Step-by-step explanation:
its on edge
Slope intercept, show work I don't how to get it
Answer:
1) start with the point slope form y-y1=m(x-x1) and solve for y. y-8=2(x-6) so y-8=2x-12, add 8 to end up with y=2x-4. 2) start with slope intercept form and solve for b, then substitute that back in: y=mx + b, so 8=2(6)+b, 8=12+b, subtract 12 to get b=-4, therefore equation is y=2x-4.
Step-by-step explanation:
those are steps and explanation but the theres an example i put in there to
23,900
Write each number in scientific notation.
Answer:
2.39 x 10 to the power of 4
Is is greater than less or equal to 4.09_4.90
Its less than i think yeah
A researcher interested in vocabulary development obtains a sample of twenty 3-year old children to participate in a research study. The average (i.e., mean) score for the group of 20 is an example of a(n)___________.
a) sample
b) statistic
c) population
d) parameter
Answer: b) statistic
Step-by-step explanation:
Population = A large groups of individuals sharing the same or similar characteristic by the point og study.Sample = It is a subset of population .Parameter = It is measure of characteristic in population.Statistic = It is measure of characteristic in sample.Since the average score was taken by the group of 20 which is nothing but the sample.
That means, the average score is an example of statistic.
Hence, the correct option is b) statistic .
The length of a rectangle is 16m greater than the width. If the perimeter of a rectangle is 256m, what is the width of the rectangle?
Answer:
L=16+W
2W+2(16+W)=256
2W+32+2W=256
4W=224
W=56
3. Points A, B, C, D, E, and F are integers. Use the clues to put the points in order
from least to greatest. You don't need to solve the numbers themselves!
• D is greater than E.
• B is greater than C.
• A is less than E.
• is greater than D.
• is less than E.
• A is less than F.
Points in order:
if f(x) = -3x+4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
Answer:
x=1
Step-by-step explanation:
you have -3x+4 and your left with one whole number when you put -3 and 4 together
estimake square root of 11. ?
Answer:
11 not have root
Step-by-step explanation:
beause it is the prime number MARKE AS BRILLIANT
Answer:
3.3164 correct to four decimal places
Step-by-step explanation:
WE USE BINOMIAL THEOREM.
√11=√(10+1)=(10 + 1)^½
FACTOR TEN OUT
=> 10^½(1 +1/10)^½
WE KNOW THAT:
(1 +X) ^n= 1 + nX + [n(n -1)(x)²]/2! + .........
NOW LET X =1/10 AND n= ½
SUBSTITUTING INTO THE FORMULA ABOVE
=>(1/10)^½ [1 + (½)(1/10) +[½(½ –1)(1/10)^½]/2×1 + ......]
=(1/10)^½[1 + 1/20–1/800 +......]
=> (1/10)^½(839/800)
≈3.3164
THEREFORE √11 ≈ 3.3164( ESTIMATED)
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 = 1/4 (x - 12). What is the standard form of the equation for this line?
a) x-4y=8
b) x-4y=2
c) 4x-y=8
d) 4x-y=2
Answer:
i honestly dont know
Step-by-step explanation:
Simplify: -0.8b + 4.1c - (-3.2b) - 0.1c
Answer:
[tex] - 0.8b + 4.1c + 3.2b - 0.1c = 4c + 2.4b[/tex]
Question 1 (Multiple Choice Worth 5 points)
Use absolute value to express the distance between -10 and 16 on the number line.
01-10 - 161 = -6
01-10 - 161 = 6
1-10 - 16= -26
• |-10 - 161 = 26
Answer:
Answer should be I 16-(-10) I = 26
But I guess it's the last choice you listed, I -10-16 I = 26