Answer:
When f(x)= 3x – 1 and g(x) = 7x + 6,
f(g(x)) = 21x + 17
and
g(f(x)) = 21x - 1
Step-by-step explanation:
Given:
f(x) = 3x - 1
g(x) = 7x + 6
To find f(g(x)), substitute the value of g(x) into f(x).
f(g(x)) = f(7x + 6)
Substitute variable.
f(7x + 6) = 3(7x + 6) - 1
Distribute the 3 inside the parenthesis.
f(7x + 6) = 21x + 18 - 1
Subtract 1 from 18.
f(7x + 6) = 21x + 17
Therefore, f(g(x)) is 21x + 17.
To find g(f(x)), substitute the value of f(x) into g(x).
g(f(x)) = g(3x - 1)
Substitute variable.
g(3x - 1) = 7(3x - 1) + 6
Distribute the 7 inside the parenthesis.
g(3x - 1) = 21x - 7 + 6
Add 6 to -7.
g(3x - 1) = 21x - 1
Therefore, g(f(x)) is 21x - 1.
8.
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y= 2/3x + 9; (–6, 5)
A. y= 2/3x + 9
B. y= -2/3x + 1
C. y= -3/2x - 4
D. y= -3/2x + 3/2
Answer:
B
Step-by-step explanation:
I had this question before
Answer:
C. y= -3/2x - 4
Step-by-step explanation:
Option 2, y=-3/2x-4
Step-by-step explanation:
Solve with the point-slope formula: y-y1=m(x-x1). The line is perpendicular, meaning the slope of the new equation will be the oppposite reciprocal of the original slope.
First, we need to rewrite the original equation into standard form.
2x-3y=13
-3y=13-2x
y=-13/3+2/3x
From this, we can see that the slope here is 2/3. Since the line we're looking for is perpendicular, the opposite reciprocal of that slope is -3/2.
Now, we can plug in the coordinates we have into the formula (-6, 5), along with our slope (-3/2).
y-(5)=-3/2(x+6)
y-5=-3/2x-9
y=-3/2x-4
And to check, we can just plug the coordinates into our new equation:
Check:
(5)=-3/2(-6)-4
5=9-4
5=5
5 + u = 12
what’s the answer?
Answer:
the answer is 7
Step-by-step explanation:
12-5=7 and seven equals u
Answer:
7
Step-by-step explanation:
5 + u = 12
To make this equation simpler, why don't we isolate the variable u?
5 + u = 12
-5 -5
u = 12 - 5
u = 7
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A student was marked tardy five different times in a 40 day period. What percent of the time was the student tardy?
Answer:
12.5%
Step-by-step explanation:
5/40 = .125
.125×100 = 12.5%
The percentage is the indicating hundredth. The percentage of times the students marked will be 12.5%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
A student was marked tardy five different times in a 40-day period.
Percentage of 5 among 40 →
(5/40) x 100 = 12.5%
Hence "The percentage is the indicating hundredth. The percentage of times the students marked will be 12.5%".
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Find the of fish food cubes it takes to fill the large box
Answer:
Step-by-step explanation:
What exactly is your question first of all?
30 pts pleeeaase answer correctly
Answer:
what is the question?
Step-by-step explanation:
Solve for x: 1/9 x what = 2 1/8
Answer:
x=1/8
Step-by-step explanation:
pickpeuhahaahahaha
Answer:
1/9 x 21/8 = 7/24
Step-by-step explanation:
Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000. How long will it take him to reach his goal?
The time taken to reach the goal of $3000 will be 36 months.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000.
The equation for the total cost will be formed as,
TC = 75m + 300
3000 = 75m + 300
3000 - 300 = 75m
2700 = 75m
m = 2700 / 75
m = 36 months
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(-7,1) and (-7,-5) on the coordinate
plane?
Answer:
(-7,1) lies on the 2nd quadrant
(-7,-5) lies on the 3rd quadrant
Hope it helps:)
6a+3a+8b+a−5b
3b+6a3 b plus 6 A
3b+9a3 b plus 9 A
3b+10a3 b plus 10 A
13b+9a
ASAP PLEASE
Answer:
all 5
Step-by-step explanation:
6a+3a+8b+a-5b = 10a+3b
3b+6a+3b+6a = 9b+6a
3b+9a+3b+9a = 6b+18a
3b+10a+3b+10a = 6b+20a
13b+9a = 13b+9a
Maggie has a collection of 1,200 pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000, and the rest are dated after 2000. How many pennies in Maggie's collection are dated after 2000?
Answer: 780
Step-by-step explanation:
Before: 42 dogs
Now: 35 dogs
What is the percentage decrease?
Answer:
16.7% (to 3sf)
Step-by-step explanation:
Percentage decrease
= [tex]\frac{42-35}{42}[/tex] × 100%
= [tex]\frac{7}{42}[/tex] × 100%
= [tex]\frac{1}{6}[/tex] × 100%
= 16.7% (to 3sf)
Lola's pet turtle walked 10 feet, and then half that length again.
Lola's baby brother walked 3 feet, and then half that length again.
Lola's hamster walked 6.5 feet, and then half that length again.
Lola's mom walked x feet, and then half that length again.
What is 25% of 35????
Answer:
8.75
Step-by-step explanation:
In order to determine what is 25% of 35, simply multiply 35 by 0.25 (which is the decimal equivalent of 25%).
0.25 × 35 = 8.75.
Therefore, the 25% of 35 is 8.75.
Solve for x.
X+10
—-
5
X-2
—-
6
Answer:
X+10 5Step-by-step explanation:
we divide since when 5 can divide 2
10divide 5 is 2 so x = 2.so as the second2 divide 6 is 3 so X =-3
(a^3 b^12 c^2) * (a^5 c^2) * (b^5 c^4)^0
A) a^15 b^12 c^4
B) a^8 b^17 c^8
C) a^14 b^15 c^9
D) a^8 b^12 c^4
Step-by-step explanation:
[tex] = ( {a}^{3} {b}^{12} {c}^{2} ) \times ( {a}^{5} {c}^{2} ) \times ( {b}^{5} {c}^{4} ) {}^{0} [/tex]
[tex] = {a}^{3 + 5} {b}^{12} {c}^{2 + 2} [/tex]
[tex] = {a}^{8} {b}^{12} {c}^{4} [/tex]
Option D
a farm has almond trees and walnut trees. the number of almond trees is 2 third of the number of walnut trees. there are almost 120 almond trees.
how many walnut trees are there
Yes I will Mark Brainlist
Answer:
D = 3.5t
Step-by-step explanation:
Distance = Speed · Time
Plug in the numbers and you get D = 3.5t
Hope this helps!
Which of the following is a rational number?
a
A) ✓2.5
B) - ✓64
C) 4✓5
D) ✓ 14.4
i think it’s D but i don’t know for sure
Answer:
A. is the right answer
Step-by-step explanation:
D is not right because it is not a perfect square. A is the only perfect square optional, which makes it rational. Hope this helps :)
A local bicycle shop makes $75 on each
Model A bike and $90 on each Model B bike.
The overhead costs for making the bikes are
$1,350. Write an inequality to show how
many of each bike model must be sold so the
company avoids losing money.
The inequality that show how many of each bike model must be sold so the
company avoids losing money is 75x + 90y ≥ $1350
Let x represent the number of model A bikes produced and y represent the number of model B bikes produced.
Since A local bicycle shop makes $75 on each Model A bike and $90 on each Model B bike, hence:
Revenue = 75x + 90y
The overhead cost is $1350, hence to make profit:
Revenue ≥ cost
75x + 90y ≥ $1350
The inequality that show how many of each bike model must be sold so the
company avoids losing money is 75x + 90y ≥ $1350
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Graph the line:
Y = -4x + 6
Answer: See the graph below.
Shandra scored 75 on her first math test. She scored
20% higher on her next math test. What did she score
on her second test?
Answer:
90
Step-by-step explanation:
20% of 75 is 7.5 times 2 which equals 15 so 15 plus 75 is 90.
Answer:
She scored 90 on her second math test.
Step-by-step explanation:
A 20% increase is 120% of the original number. 120% is also just a multiplier of 1.2. Multiply the first score by 1.2 to get the second score:
[tex]75\times1.2=90[/tex]
She scored 90 on her second math test.
I WILL GIVE BRAINLIEST
Answer:
I think this one will be D.
TR=UR
Hope this helps :)
the rectangle with a side of length 12cm has a diagonal of 15cm. what is the perimeter of the rectangle?
Answer: 42 cm
Step-by-step explanation:
First since the second side length is unknow we need to find it.
We will use the Pythagorean theorem which is [tex]a^{2} + b^{2} = c^{2}[/tex]
Since we will be solving for b we will rearrange the equation to be
[tex]b^{2} = a^{2} - c^{2}[/tex]
now to slove input the data we know
[tex]b^{2}[/tex] = 144 - 225
[tex]b^{2}[/tex] = 81
[tex]\sqrt{b^{2} } = \sqrt{81}[/tex]
[tex]b[/tex] = 9
With the two sides we simply add up all the sides for the perimeter
9+12+9+12 = 42
Sandy walks 26 miles in a month. If she were consistent in her walking for 2 years, how many miles will she have walked?
Answer:
624 miles
Step-by-step explanation:
there are 12 months in a year.
meaning, 24 months in two years.
if she is able to walk 26 miles a month, for 24 months
(multiply 26x24)
she will walk 624 miles.
Translate the sentence into an equation.
Three less than the product of 2 and a number is equal to 6.
Use the variable x for the unknown number.
Answer:
2x - 3 = 6
Step-by-step explanation:
solve for 'x':
2x - 3 = 6
2x = 9
x = 9/2 or 4 1/2
Check:
2(9/2) - 3 = 6
9 - 3 = 6
6 = 6
which math expression means "45 less than an unknown number"?
A. x- 45
B. x + 45
C. 45 ÷ x
D. x * 45
Answer:
A because when you subtract x will be less than the unknown number
the measure of an angle is nineteen times the measure of its complementary angle. what is the measure of each angle?
Step-by-step explanation:
officially, complementary angles complete each other to a total sum of 90 degrees.
supplementary angles complete each other to a total sum of 180 degrees.
angle 1 = 19× angle 2
90 = angle 1 + angle 2 = 19×angle 2 + angle 2 = 20×angle 2
angle 2 = 90/20 = 9/2 = 4.5 degrees.
angle 1 = 19×4.5 = 85.5 degrees.
and so, it seems to me, your teachers made a severe definition mistake and aimed for 180 degrees instead of the correct 90 degrees.
in that case, everything doubles.
angle 2 = 9 degrees
angle 1 = 171 degrees
If measure of an angle is 19-times measure of its complementary-angle, then measure of one angle is 85.5° and other is 4.5°.
Let us denote the measure of the angle as = "x" degrees.
The complementary angle is the angle that, when added to the given angle, forms a 90-degree angle.
The complementary-angle to "x" degrees is = (90 - x) degrees,
We know that the measure of the angle is nineteen times the measure of its complementary angle, we can write the equation as :
x = 19(90 - x),
x = 1710 - 19x,
20x = 1710,
x = 1710/20,
x = 85.5,
Therefore, the measure of the angle is 85.5 degrees. The measure of its complementary angle is 90 - 85.5 = 4.5 degrees.
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Suppose that two asteroids in the asteroid belt are moving in a straight line and at the same speed toward each other. If a 3D coordinate system is placed with the origin at the sun, then the position of one asteroid can be described as 2.8 astronomical units (AU) in the direction of positive x, 0.3 AU in the direction of positive y, and 0.15 AU in the direction of positive z. At the same time, the position of the other asteroid can be described as 2.7 AU in the direction of positive x, 0.23 AU in the direction of positive y, and 0.12 AU in the direction of positive z. At what point in this 3D coordinate system will they collide? Use the midpoint formula
i have tried to solve this by using the formula but i cant figure out x2,y2 and z2.
Answer:
x2 =0.87
Step-by-step explanation:
Ryan and clarie are solving the equation -3x+7=-14.Ryan says the answer is x=7.Claire says the answeris x=-7.Who do you agree with andwhy
I need help ASAP the answer should be 230 mi^2 I just need the work !! Please
Answer:
9x5=45x5=225+5=230
Step-by-step explanation:
