Answer:
f(n) = 2.8n + 0.7
Step-by-step explanation:
The form of the linear function is f(x) = m x + b, where
x is the inputf(x) is the outputLet us solve the question
∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where
a[tex]_{n}[/tex] is the nth term ⇒ outputn is the number of the term ⇒ input→ To write it as a function replace a[tex]_{n}[/tex] by f(n)
∵ a[tex]_{n}[/tex] = f(n)
∴ f(n) = 3.5 + 2.8(n - 1)
→ Simplify the right side to make it in the form of the function above
∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)
→ Remember (+)(-) = (-)
∴ f(n) = 3.5 + 2.8n - 2.8
→ Add the like terms in the right side
∵ f(n) = 2.8n + (3.5 - 2.8)
∴ f(n) = 2.8n + 0.7
Sara earned money selling pies and cakes. For the cakes, she made a profit of $200 with an expense of $4 per cake. For the pies, she made a profit of $250 with an expense of $5 per pie. She sold the same number of cakes and pies. How many pies did Sara sell if she earned the same total profit for pies and cakes? Write an equation and then solve for x.
Sara earns $80.50 for 7 hours of pet sitting. She earns the same amount per hour each time she pet sits. How many hours does Sara need to pet sit to earn $138
Answer:
12
Step-by-step explanation:
Roberto wrote the pattern shown below. What is the rule for following Roberto's pattern?
96, 48, 24,12
A. subtract by 48
B. divide by 2
C. multiply by 2
D. subtract by 42
Answer:
its b because
Step-by-step explanation:
24÷12 is 2 and if u do 12 × 2 and keep going u will get the next answer
.y = x-7
y = -4x + 3
what’s their intercepting points
Answer:
2,-5
Step-by-step explanation:
Evaluate the expression when g=7 and h= 5 8h + g
Answer: 47
Step-by-step explanation:
we simply substitute g for 7 and h for 5.
8(5) + 7
40 + 7
47
50 people were asked for their favourite holiday destination from a choice
of three (Greece, Spain or Egypt).
Greece Spain Egypt Total
27 of the people were female.
9 of the 15 people who chose
Greece were male.
Male
12 females said Spain.
14 people said Egypt.
Female
A
a) Complete the two-way table.
(2)
Total
One of the males is chosen at random.
b) What is the probability that this male said Greece?
(2)
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
Answer:
A
Step-by-step explanation:
;)
what is the unit rate of $52.5 7h
Answer:
= 7.5 USD per hour
Step-by-step explanation:
This is a fraction equal to
52.5 USD ÷ 7 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 7
[tex]\frac{52.5}{7}[/tex]= 7.5 USD per hour
Need help on this please
Answer:
A
Step-by-step explanation:
Which statement about these triangles is true?
Simplify the expression. Explain each step.
6(2b)
Answer:12b
Step-by-step explanation:
Here,
We have only one variable
So we can multiply it with number
=6×2b
=12b
Hope it helps you
Plz mark me brainliest.
I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon
A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees
Answer:
120 Degrees
Step-by-step explanation:
A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.
x2 - 2x + 4 = 0
How many solutions
Answer:
Step-by-step explanation:
x^2-(2+2)x+4=0
or, x^2-2x-2x+4=0
or, x(x-2)-2(x-2)=0
or, (x-2)(x-2)=0
Now,
Either, x-2=0
=2
Or, x-2=0
=2
Please help me
Solve five ninths plus four sixths
sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths
Answer:
11/9
Step-by-step explanation:
5/9 + 4/6 = 11/9
Answer: sixty six fifty fourths
30/54 + 36/54 = 66/54
Step-by-step explanation: Find a common denominator
Here, it looks like we can multiply the 9 × 6 to get 54
Then we divide the original denominator into the common denominator, then multiply the numerator by the quotient to get an equivalent fraction to add.
Starting with the 5/9 54÷9 = 6 The quotient, 6 multiplies by the numerator 5
6 × 5 = 30 That is the new numerator.
30/54 is the equivalent fraction for 5/9
Now 4/6 54÷6 = 9 Multiply this quotient, 9 times the numerator 4
9 × 4 = 36 That is the new numerator
36/54 is the equivalent fraction for 4/6
Add the numerators of the equivalent fractions keep the denominator the same:
30/54 + 36/54 = 66/54
It is possible to simplify this process. 4/6 is equivalent to 2/3 or 6/9
We could add 5/9 + 6/9 to get 11/9
66 and 54 are both divisible by 6, so 66/54 can be simplified to 11/9 or the mixed number 1²/₉
What is the least common multiple (LCM) of 5 and 12?
Answer:
60
Step-by-step explanation:
Hope this helps
Answer:
60
Step-by-step explanation:
Solve for x. x^2 - 14x + 31 = 0
Answer:
7 + 3 sqrt 2
7 - 3 sqrt 2
Step-by-step explanation:
Can you guys please help me fill this up plz
X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0
Answer:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) - 11x) + 30
STEP 2
Checking for a perfect cube
2.1 x3-4x2-11x+30 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-11x+30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+30
Group 2: x3-4x2
Pull out from each group separately :
Group 1: (-11x+30) • (1) = (11x-30) • (-1)
Group 2: (x-4) • (x2)
you take two steps every hour how long would it take to walk 20 miles
Answer:
21120 hours long
Step-by-step explanation:
42240=20 miles
42240/2=21120h
Answer:
200 hours (yes, very long)
Step-by-step explanation:
You take about 2,000 steps a mile. So, you have to multiply 2,000 by 20 which is 40,000. Then, you have to divide 40,000 by 20. Lastly, you will end up with 200 hours as your answer.
Hope this helps :)
Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?
Does the system have no solution?
Answer:
[tex]\mathrm{A)\:}-6[/tex]
Step-by-step explanation:
Notice that in the second equation, the coefficient of [tex]y[/tex] is [tex]2[/tex] times greater than in the first. Therefore, by making the coefficient of [tex]x[/tex] in the second equation [tex]2[/tex] times greater than in the first, it's impossible to only isolate one variable.
Therefore, when [tex]a=-3\cdot 2=\fbox{-6}[/tex], there are no solutions to this system.
PLEASE I REALLY NEED HELP DONT SAY RANDOM STUFF
Answer:
c.180
Step-by-step explanation:
45 times 4= 180
I need help with math I’m bad at it
7. Find the circumference of a circle whose diameter is 3.2 meters. Round to the nearest tenth.
A. 32.2 m
B. 8.0 m
C. 10.0 m
D. 5.0 m
Answer:
C. 10.0 m
Step-by-step explanation:
[tex]C=2\pi r[/tex]
radius is half of diameter
[tex]r = \frac{d}{2} \\r=\frac{3.2}{2} \\[/tex]
[tex]C= 2 (3.14) \frac{3.2}{2}[/tex]
[tex]C= (3.14)3.2\\C=10[/tex]
Determine the range of the following graph:
Answer:
Range: [-1, 6)
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, our line's y-values span from -1 to 6. Since -1 is closed dot, it is inclusive in the range; since 6 is open dot, it is exclusive from the range:
Interval Notation: [-1, 6)
Inequality Notation: -1 ≤ y < 6
A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make.
g(t) = 2t - 2
h(t) = 2t - 5
Find g(t) + h(t)
Answer:
[tex]g(t) + h(t) \\ (2t -2 ) + (2t - 5) \\ (4t - 7)[/tex]
(4t-7) is the right answer.
Step-by-step explanation:
g(t) = 2t - 2
h(t) = 2t - 5
g(t) + h(t)
(2t - 2) + (2t - 5)
2t - 2 + 2t - 5
(4t - 7) ✓✓✓✓
a ream (500sheets) of paper is 8cm thick how thick is a pile of 1200sheets
Answer:
19.2cm
Step-by-step explanation:
You can solve with a proportion because all sheets of paper are the same thickness
[tex] \frac{500}{8} = \frac{1200}{x} [/tex]
[tex]x = \frac{1200 \times 8}{500} [/tex]
x = 19.2cm
the teach writes 10/12 on the bored. Write this fraction in simplest form.
Answer:
the simplest form is 5/6
Step-by-step explanation:
I hope this helps!
can someone pls help!!!!