Write the following expression as a simplified polynomial in standard form.
(x - 5)^2+3(x - 5) - 4
[tex]\\ \rm\longmapsto (x-5)^2+3(x-5)-4[/tex]
[tex]\\ \rm\longmapsto x^2-10x+5^2+3x-15-4[/tex]
[tex]\\ \rm\longmapsto x^2-7x+25-19[/tex]
[tex]\\ \rm\longmapsto x^2-7x+6[/tex]
There are 30 students in class. A parent brought in 106 pieces of candy to share equally among the students. The teachers gets the remaining pieces of candy. How many pieces will each student get and how many pieces are left for the teacher?
Answer:
each student will get 3 peices of candy and the teacher will get 16
simplify expression -3√2+ 3√8
Answer:
3√2
Step-by-step explanation:
−3√2+3√8
=3√2 (Decimal: 4.242641)
Answer:
3√2
~~~~~~~~~~~~~~~
-3√2+ 3√8
-3√2+ 6√2
3√2
Step-by-step explanation:
Can someone please help?
The temperature in a room is controlled by an electronic thermostat. The temperatures vary according
to the sinusoidal function: = 6 sin[90( − 11)] + 19, where y is the temperature (°C) and x is the
time in hours past midnight.
a) What are the maximum and minimum temperatures in the room?
b) At what time does the temperature first hit 13 °C?
Answer:
a. max. 25c. min.13c
b. 2:00
Step-by-step explanation:
elena bikes 20 minutes each day for exercise write and equation to describe the relationship between her distance in miles d and her biking speed in miles per hour when she bikes at a constant speed of 15 miles per hour for the first 5 minutes then at 12 miles per hour for the last 15 minutes
There are 1175 calories total in a Big Mac, a Grilled Chicken Sandwich and a 6-piece chicken nugget meal.
A 6-piece chicken nugget meal has half the calories of the Big Mac. The Grilled Chicken Sandwich has 200 less
calories than the Big Mac. How many calories are in each of the three food items?
Big Mac has 550 calories
Chicken Nugget has 275 calories
Grilled Chicken Sandwich has 350 calories
Total number of calories = 1175
Let the number of calories in Big Mac = x
Since the 6-piece chicken nugget meal has half the calories of the Big Mac. Therefore, the number of calories in the chicken nugget = 1/2 × x = 0.5x
Since the Grilled Chicken Sandwich has 200 less calories than the Big Mac. This will be: = x - 200
To calculate the number of calories in each food goes thus:
x + 0.5x + x - 200 = 1175
Collect like terms
x + 0.5x + x = 1175 + 200
2.5x = 1375
Divide by 2.5
2.5x/2.5 = 1375/2.5
x = 550
Big Mac has 550 calories
Chicken nugget will have:
= 0.5x = 0.5 × 550 = 275 calories
Grilled Chicken Sandwich will be:
= x - 200
= 550 - 200
= 350 calories
Read related link on:
https://brainly.com/question/24435924
solve for x:
3cx-b=adx+5f
[tex]3cx - b = adx + 5f \\ 3cx - adx = 5f + b \\ x(3c- ad) = 5f + b \\ \\ x = \frac{5f + b }{3c- ad} [/tex]
I hope I helped you^_^
Sasha measured the length of an ant as 1.3 x 10-3 meter. Write this length in standard.
[tex]\\ \sf\longmapsto 1.3\times 10^{-3}m[/tex]
[tex]\\ \sf\longmapsto 13\times 10^{-2}m[/tex]
[tex]\\ \sf\longmapsto 13cm[/tex]
10^-2m=1cmRational numbers include whole numbers, integers, fractions, and some decimals?
Answer:
TRUE
Step-by-step explanation:
this is true.
rational= ratio
How do I solve (b) (c) and (d)
Answer:
Step-by-step explanation:
answer (B)
Shawna and her best friend Keisha go shopping.
The function p(x) = 3x^4 + 2x^3 − 4x^2 + 21 represents how much money each girl spent based on the number of hours they were shopping. If Shawna and Keisha each go shopping for 2 hours, how much money did they spend together?
$37
$69
$101
$138
Answer:
138
Step-by-step explanation:
p(x) = 3x^4 + 2x^3 − 4x^2 + 21
Let x = 2
p(2) = 3*(2)^4 + 2*(2)^3 − 4*(2)^2 + 21
= 3*16+2*8-4*4+21
=48+16-16+21
= 69
This is per girl
There are 2 girls
2 * 69
138
The cost to make a Nike shoe is $20 USD and the store wants to make a profit of 75% of the cost price.
If the sales tax is 5%, what is the price of a shoe after tax?
so 75%of 20 is 15.00
and then we 20.00+15.00= 35.00
plus sales tax of 5%
so I got 36.75$ after taxs
What is p of 11=8-6p-3
Does #1 look right? Im struggling on this
Answer:
Yup, good job!
Step-by-step explanation:
write 12:57 a.m in 24 hour time
Answer:
Here is your answer . Hope this is helpful to you.
Guided Practice
Write a rule for a geometric sequence that has −6negative 6 as its first term and a common ratio of 2. What is the tenth term of this sequence?
A.
an=−6 · 2n−1; −3,072a subscript n baseline equals negative 6 times 2 superscript n minus 1 baseline semi-colon negative 3,072
B.
an=2 · −610−1; −20,155,392a subscript n baseline equals 2 times negative 6 superscript 10 minus 1 baseline semi-colon negative 20,155,392
C.
an=−6 · 2n; −6,144a subscript n baseline equals negative 6 times 2 superscript n baseline semi-colon negative 6,144
Answer:
A.
an=−6 · 2n−1; −3,072a subscript n baseline equals negative 6 times 2 superscript n minus 1 baseline semi-colon negative 3,072
Step-by-step explanation:
Tim scored 15 points playing a boardwalk game. His next turn he lost 23 points. How many points does Tim have now?
Answer:
-8 points
Step-by-step explanation:
Tim gained 15 points, then lost (subtracted) 23 from that amount.
15 - 23 = -8
Question 1
Re-write this list of numbers in ascending order:
0.9, 0.23, 0.89
A manufacturer determines that the cost of making a computer component is $3.171717. Write the cost as a fraction and as a mixed number.
Answer:
Step-by-step explanation:
100y = 317.17171717171717 ....
y = 3.17171717171717 .... subtract
99y = 314
The cost = 314 / 99
Or
The cost = 3 17/99
Need help ASAP please need this question answer !!!!
Answer:
417
Step-by-step explanation:
b=9
l=12
d=14
plug in the numbers with the letters and multiply
(6.5×9)+(9.75×12)+(17.25×14)
58.5+117+241.5= 417
The scale on a different map is 1 inch represents 6 miles.
A road on the map measures 2.5 inches.
How long is the road in real-life?
what must be added to 2x^2 - 5x - 12 in order to get 7x^2 - x - 18
Answer:
5x^2 +4x -6
Step-by-step explanation:
that is the answer
yep
Answer:
5x² + 4x - 6
Step-by-step explanation:
Subtract 2x² - 5x - 12 from 7x² - x - 18 , that is the opposite operation, that is
7x² - x - 18 - (2x² - 5x - 12) ← distribute parenthesis by - 1
= 7x² - x - 18 - 2x² + 5x + 12 ← collect like terms
= 5x² + 4x - 6
can someone answer this please
Answer:
its 12.5
Step-by-step explanation:
did the test already
The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is
Answer:
16
Step-by-step explanation:
50÷3=16R2
Second largest multiple of 3 that is smaller than 50=45
45÷3=15 groups of 3 people each
50-45=5
=1 group of 5 people
Greatest possible number of groups=15+1
=16
Which number does 9 have a value that is 1/10 times as small as it’s value in 891
Answer:
9
Step-by-step explanation:
H T U
8. 9. 1
9 tens
1/10×10= 1
1 is a unit
I believe d answer is 9
pls like and follow
HELP WILL MARK BRAINLIEST !!!
given ABCD is a parallelogram Prove AB=CD and AD=CD
Step-by-step explanation:
ab=CD________given
∆abc=∆acd
Therefore <DAC=<BAC opposite equal sides
Ad||Bc________given
alternative angles are equal
This is my test question Round 1.391 to the nearest hundredth and I’m have a hard time I don’t understand I need the answer!!!
Answer:
1.39
Step-by-step explanation:
nearest hundredth is 9
therefore 1.39 ig
Answer:
1.39
Step-by-step explanation:
0.090 is the hundreth. If the number in the thousandths spot is less than 5, which it is, you round back to 0.090
2.
Evaluate the function rule for the given value. f(x) = 5^x for x = 2
A. 25
B. 10
C. 32
D. 5
[tex]f(x) = {5}^{x} \\ \\ f(2) = {5}^{2} = 5 \times 5 = 25[/tex]
Answer: A)
How to solve this pls? 20 + 46 - 11ab - 6b
Answer:
66-11ab-6b
Step-by-step explanation:
20 + 46 - 11ab - 6b
add like terms
66-11ab-6b
Step-by-step explanation:
20+46-11ab-6b
since there are only one pair of like terms,
therefore by solving them , we get
66-11ab-6b
I hope it helped U
stay safe stay happy
Line l in the xy-plane is perpendicular to the line
with equation x = 2. What is the slope of line l?
The slope of line L is 0. Then the equation of the line L in the xy-plane will be y = 0.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is x = 2. Then the slope of the equation will be given as,
m = ∞
The slope of the perpendicular line is calculated as,
⇒ -1/m
⇒ -1/∞
⇒ 0
The slope of line L is 0. Then the equation of the line L in the xy-plane will be y = 0.
More about the equation of a perpendicular line link is given below.
https://brainly.com/question/14200719
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