Step-by-step explanation:
g(x) = 3x² + 2
h(x) = 2x + 2
g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2
= 3[4x² + 8x + 4] + 2
= 12x² + 24x + 12 + 2
= 12x²+ 24x + 14
Solve 2|x - 1| >= 10
Answer:
[tex]\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
Step-by-step explanation:
[tex]\bold{2|x-1|\geqslant10}\\\\{}\ \div2\qquad\div2\\\\\bold{|x-1|\geqslant5}\\\\\bold {x-1\geqslant5\qquad\quad\vee\qquad x-1\leqslant-5}\\\\\bold {x\geqslant6\qquad\qquad\vee\qquad\ \ x\leqslant-4}\\\\\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
A band marches in the African American Day Parade in New York City. The band marches 800 meters every 15 minutes. At this rate, how many kilometers does the band march in 1 hour?
The band will march 3.2 kilometers at the same rate.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
800 meters for every 15 minutes
800 meters ⇔ 15 minutes
Multiply 4 by both sides
3200 meters ⇔ 60 minutes
Now,
60 minutes = 1 hour
And,
Since 1000 meter = 1 kilometer ⇒ 3200 meter = 3.2 kilometer.
So,
1 hour ⇔ 3.2-kilometer.
Hence "The band will march 3.2 kilometers at the same rate".
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A train travels at a constant rate. If the train travels 496 miles in
8 hours, how many miles does the train travel in 1 hour?
Answer:
It is 62 miles.
Step-by-step explanation:
Hope this helps! :)
Answer:
62miles in one hour
Step-by-step explanation:
First, you have to identify your miles and you hour.
496 miles in 8 hours.
This automatically implies division because we want to know how far the train goes in 1 hour
Divide 496 by 8
Answer is 62 miles in one hour.
Write g(x) in terms of f(x) after reflecting the graph of f(x) across the y-
axis. *
Answer:
g(x)=f(-x) , the dot on the x axis is negative so multiply it by a another negative to get a positive
I
The sum of a number and 9.4
The sum of x and 9.4 will be x + 9.4.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say that number is x
Saying sum x with 9.4 means we need to add x and 9.4
So,
⇒ x + 9.4
Hence "The sum of x and 9.4 will be x + 9.4".
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Which relationship is always true for the angles x, y, and z of triangle MNP?
Answer:
Step-by-step explanation:
In every triangle, all the measures of the angles combined is 180 degrees.
So x + y + z = 180 degrees
Answer:
180 dg
Step-by-step explanation:
The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply. -The expression 50ℎ represents the total charge for Rock the House Digital Designs. -The expression 75ℎ represents the total charge for Elegance Home Architects. -The cost for using Rock the House Digital Designs for an initial consultation only is $550. -If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper. -If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Answer:
The expression 75ℎ represents the total charge for Elegance Home Architects.
If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Step-by-step explanation:
Given the following :
Rock the house digital designs :
Initial consultation charge = $500
Additional hour of work for house plan = $50 /hr
Elegant Home Architect:
Charge = $75 / hr
h = number of hours fro which Johnson's family hires the design firm
Total amount charged by Elegant home Architect = 75 × h = 75h
Total amount charged by Rock the house digital design = (500 + 50h)
If h = 15 hours :
Total amount charged by Elegant home Architect = 75 × 15 = $1,125
Total amount charged by Rock the house digital design = (500 + 50(15)) = 500 + 750 = $1,250
Hence, Elegant home Architect is cheaper.
If h = 40 hours :
Total amount charged by Elegant home Architect = 75 × 40 = $3,000
Total amount charged by Rock the house digital design = (500 + 50(40)) = 500 + 2000 = $2,500
Hence, Rock the house digital design is cheaper.
Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60,
which inequality shows n, the maximum number of notebooks she can buy with her money?
1.672 56
O 1.6n s56
56931.6
O 56n2 1.6
Answer:
1.6n [tex]\leq[/tex] 56
Step-by-step explanation:
1.6n [tex]\leq[/tex] 56
This states,
'$1.60 per notebook, but use up to 56 dollars.'
A bag contains 4 red marbles, 5 blue marbles, 6 yellow marbles, and 7 green marbles; Jonathan randomly grabs one marble, puts it back then draws a second marble. What is the probability that the first marble was red, and the second marble was green?
p ( first marble red ) = 4/22
p ( second marble green ) = 7/22
Since total number of marbles r 22, then the denominator is 22 also. When Jonathan puts back the red marble aft the first round, this means with replacement so there's no change in denominator for the second round.
Nathan read a total of 630 pages over 30 hours. In all, how many hours of reading will Nathan have to do this week in order to have read a total of 714 pages? Solve using unit rates.
Answer:
34 hours
Step-by-step explanation:
Given that,
Nathan read a total of 630 pages over 30 hours.
We need to find times of reading will Nathan have to do this week in order to have read a total of 714 pages.
1 page can be read in [tex]\dfrac{30}{630}\ \text{hours}[/tex]
To read 714 pages, it will take
[tex]\dfrac{30}{630}\times 714\ \text{hours}\\\\=34\ \text{hours}[/tex]
Hence, it will take 34 hours to read 714 pages.
Here is a list of numbers:
11, 19, 2, 7, 8, 1,9,9,16,1
State the median.
Lorie is using long division to find the quotient of 13 + 6r2 + 5 and 12 + 1 – 1, as shown.
41
+ 5 –
12 + - 1
I2 + 1 - 1) 1 3 + 612 + 0.1 + 5
(13 + 12 – 1
-
5.12 + I + 5
(5.12 + 51 – 5)
-4r + 0
What mistake did Lorie make?
ОА
She combined the constants incorrectly in the last step.
OB.
The last term in the quotient has an incorrect denominator.
ОС. .
She added an extra term to the dividend.
OD.
second term in the quotient should be 7.
Answer: she combined the constants incorrectly in the last step.... i just got it right on the test
Answer:look at the step by step explanation for answer
Step-by-step explanation:
Mane and Seth are working on a lab activity where they are tracking some leaves that are
floating past them in a rain runoff channel near their home. They have to measure how far the
leaves travel in different amounts of time. They place a long tape measure along side of the
runoff channel to measure distance A borrowed stopwatch will let them record the amount of
time. They plan to have time intervals that begin at two seconds, and increase by two's until
they get to 20 seconds. The data they recorded is below.
Which is the independent and which is the dependent variable
Answer:
Independent = time intervals
Dependant = how far the leaves travel
Step-by-step explanation:
independent = what you change
dependent = what you measure
Answer
a tape measure
Step-by-step explanation:
The sum of 4 consecutive odd integers is equal to zero. Write an equation to model the sentence.
Answer: X + (X + 2) + (X + 4) + (X + 6) = 0
Step-by-step explanation:
We were already given the sum of four consecutive integers. Consecutive means coming after another. Let's first define our first consecutive odd number as X. Since it says consecutive odd integers, there is a difference of 2 between two odd numbers. We keep on adding 2 to the value of X, since they asked for four consecutive odd integers, so we get the 4 values of X, (X+2), (X+4), and (X+6). Once we put this in an equation, we get X + (X + 2) + (X + 4) + (X + 6) = 0.
The equation that models the sentence is : x + (x + 2) + (x + 4) + + (x + 6) = 0.
An odd number is a number that cannot be divided into half without any remainders. Examples of odd numbers are 1,3, 7, 11.
For example when 11 is divided in half, its value is 5.5
Consecutive odd numbers are odd numbers that follow each other. Examples are 1, 3, 5.
Consecutive odd numbers increase by 2
In order to model the sentence, let x represent the first odd number
Second odd number = x + 2
Third odd number = x + 4
Fourth odd number = x + 6
The equation is: x + (x + 2) + (x + 4) + + (x + 6) = 0
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-2a>6, then a is what?
Answer: a < -3
Step-by-step explanation:
-2a > 6 Divide both sides by -2 and remember if you divide both sides of an inequality by a negative number the sign switches.
-2a > 6
a < -3
Answer:
a < -3
Step-by-step explanation:
It less than -3
oweikeme has 2500 Naira and bought the following items from the bookshop: 60 ballpoint pens at 15 Naira each, two dozen of exercise books at 5 Naira each,8 drawing books at 80 Kobo each how much has he have left
Answer:
1480
Step-by-step explanation:
60x15=900
24x5=120
there is no mention of qweikeme having any kobo
Charles’ law describes the relationship between the initial and final temperature and volume of a gas held at a constant pressure. [tex]\frac{v_{i} }{V_{f} }=\frac{t_{i} }{t_{f} }[/tex] A). Solve the equation for [tex]v_{f}[/tex] B). Solve the equation for [tex]t_{f}[/tex] Show Step by Step
Answer:
t= 12.433
Step-by-step explanation:
What is 0.16666666666666666 as a fraction?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating 6 placed after the decimal point. Then subtracting the equations eliminates the repeating part.
let x = 0.1666....... ( multiply both sides by 10 and 100 )
10x = 1.666...... → (1)
100x = 16.666...... → (2)
Subtract (1) from (2) to eliminate the repeating decimal, thus
90x = 15 ( divide both sides by 90 )
x = [tex]\frac{15}{90}[/tex] = [tex]\frac{1}{6}[/tex]
Thus
0.16666......... = [tex]\frac{1}{6}[/tex]
need help I really need help WILL MARK BRANLEST
By definition, the absolute value of a constant is the distance from that number to zero, regardless of it's negative or positive coefficient.
The distance from -38 to 0 is 38, meaning that the absolute value is 38.
Hope this helps.
頑張って!
Answer:
38
Step-by-step explanation:
The absolute value of a number may be thought of as its distance from zero along real number line. which means - 38 is 38 times away from 0
(19) Larry can run a mile in 9 minutes. At the same pace, can he run 26 miles in 3
hours?
not sure how to complete this, info is in the photo.
what numbers are needed for: _*(_+_)/_=6
Answer:
4(1+2)/2 = 6
Step-by-step explanation:
Think about multiples of 6 (I thought of 12)
"Think 'What' x 'what' will make the lowest multiple of 6"
Nick went on a bike ride to the store 5 miles away. If it took Nick of an hour to get there and ſof an
hour to get back, what was his average rate of speed (miles per hour) for the entire trip?
(Hint: To find the average, divide the total distance by the total duration.)
Answer:
11.1
Step-by-step explanation:
Set up an equation and solve for x
X
2x
3x
Equation
Step-by-step explanation:
x+2x+3x=180
6x=180
divide both sides by 6
x=30°
brody is working two summer jobs, making $10 per hour
thiis isnt specific but if hes working two summer jobs and making 10 per hour than Brody would be making less than min. wage
How many solutions can be found for the equation 3x − 2 = 3x + 5?
Zero
One
Two
Infinitely Many
Answer:
Zero
Step-by-step explanation:
because there is no value for the variable that could make the equation work.
Hope this helped!!
btw this was right in the FLVS test.
are 18 and 2x like terms?
Answer:
no
Step-by-step explanation:
HELP ME ANSWER THIS PLZ!!!!!!
Answer:
25% off $60 = $15
15% off $60 = $9 - 10%= $0.90
Step-by-step explanation:
$60 divided by 4= 25 x 4 = 100 is the whole number
A calculus exam that was taken by 94 students is recorded and normally distributed. The mean score on the exam is 78 and the standard deviation is 2.4. What percent of the scores are in the 70.8 and 85.2 range?
Answer:
99.73%
Step-by-step explanation:
If you have a calculator with distribution functions, this problem boils down to using a single command:
norm(70.8, 85.2, 78, 2.4) = 0.9973
This tells us that 99.73% of the scores are in the 70.8-85.2 range.
Expand
Your answer should be a polynomial in standard form -4w(w^2-9)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 4 {w}^{3} + 36w}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4w( {w}^{2} - 9})[/tex]
Distribute -4w through the parentheses
[tex] \dashrightarrow{ \sf{ - 4 {w}^{3} + 36w}}[/tex]
Hope I helped!
Best regards! :D
The standard form of the polynomial -4w(w²-9) will be -4w³+36w.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The highest degree of terms is written first, followed by the next degree, and so on, to represent a polynomial in standard form.
The given expression can be converted to the standard form as below,
P = -4w(w²-9)
P = ( -4w) x (w²) + ( 4 x 9w)
P = -4w²+36w
Therefore, the standard form of the polynomial -4w(w²-9) will be -4w³+36w.
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