Step-by-step explanation:
f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)
Combine like terms
5x^2 + 9x -4
f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)
Distribute the negative
(2x^2 + 5x +6) + (-3x^2 -4x + 10)
Combine like terms
-x^2 +x +16
An arithmetic sequence is given below.
17, 22, 27, 32,
Write an explicit formula for the n
th
term an
a
n
0 0
Х
?
Answer:
n5 + 17
Step-by-step explanation:
They're asking for a pattern.
17 + 5 = 22
22 + 5 = 27
27 + 5 = 32
So it starts at 17 and increases by five each time.
The nth term increases by 5 each time and starts at 17. That means the nth term is multiplied by 5 each time, but you have to add 17 because that's where the pattern starts.
n5 + 17
Brandon used 1 2
3 kg of plant food on his strawberry plants and used 1
4
kg for his tomato plants.
He wants to feed his strawberry plants 2 more times and his tomato plants one more time.
How much plant food will he need?
Answer:
[tex]5\dfrac{1}{2}\ \text{kg}[/tex]
Step-by-step explanation:
Plant food used on strawberry plants is
[tex]1\dfrac{2}{3}\ \text{kg}=\dfrac{5}{3}\ \text{kg}[/tex]
Plant food used on tomato plants is
[tex]\dfrac{1}{4}\ \text{kg}[/tex]
Feeding the strawberry plants two times means
[tex]\dfrac{5}{3}+2\times\dfrac{5}{3}=\dfrac{5}{3}+\dfrac{10}{3}\\ =\dfrac{15}{3}=5\ \text{kg}[/tex]
Feeding the tomato plants one more time means
[tex]\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}\\ =\dfrac{1}{2}\ \text{kg}[/tex]
The plant food he will need is [tex]5+\dfrac{1}{2}=5\dfrac{1}{2}\ \text{kg}[/tex]
What is the value of 25 to the power of 1/2
Answer:
the value of 25 to the power of 1/2 is 12.5
Answer:
5 (square root of 25)
Step-by-step explanation:
25 to the 1/2 power is the same as square root of 25
25 to the 1/3 power is the same as cube root of 25,...... etc
Line AB contains points A (−1, 3) and B (5, 3). Line AB has a slope that is
The denominators of a fraction is r more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5 , the fraction obtained is 5/12 . Find the fraction
Answer:
please correct your question
.
Find the measure of ∠3.
45°
90°
135°
If a scale drawing of a car is 3 inches and the real car is 15 feet what is the scale and the scale factor
Answer:
5
Step-by-step explanation: 3x5=15
8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
putting everything away. Solve 3x +10 = 85 to find out how long it took to wash each car.
a. 5.5 minutes
b. 28.3 minutes
c. 25 minutes
d. 31.65 minutes
Answer:
c. 25 minutes
Step-by-step explanation:
3x + 10 = 85
3x = 85 - 10
3x = 75
x = 25
At cultutral arts day each session lasts 4/5 hours. The principal has set aside 3 hours for the sessions. Determine the number of sessions that can be sheduled for each student
Answer: 3.75
Step-by-step explanation:
The following can be gotten from the question:
Time taken for each session = 4/5 hours
Total time set aside by principal = 3 hours
The number of sessions that can be sheduled for each student will be:
= Total time set aside by principal / time taken for each session
= 3 hours / 4/5 hours
= 3 × 5/4
= 3.75
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=y+8 and x=5y+12 *
Answer:
(7, - 1)
Step-by-step explanation:
[tex]x = y + 8.....(1) \\ \\ x = 5y + 12....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 5y + 12 = y + 8 \\ \\ 5y - y = 8 - 12 \\ \\ 4y = - 4 \\ \\ y = \frac{ - 4}{4} \\ \\ y = - 1 \\ \\ plug \: y = - 1 \: in \: equation \: (1) \\ \\ x = - 1 + 8 \\ \\ x = 7 \\ \\ (x, \: y) = (7, \: - 1)[/tex]
Answer:
(7, - 1)
Step-by-step explanation:
1. What is the probability of an odd outcome?
2. What is the probability of an outcome less than 6?
Answer:
1. 50%
2.[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.
2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.
P = N / NP
Dice has 6 faces. I.E. 1,2,3,4,5,6
= 6
NP, therefore, is the total number of possible outcome.
Faces less than 6. (1,2,4, and 5)
N = 5
P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.
A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?
Answer:
medium
Step-by-step explanation:
Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps
Answer:
medium!! {a p e x :))}
------------------------
Step-by-step explanation:
small: 160/225=0.71*100=71 shirts
medium: 335/375=0.893*100=89 shirts
large: 275/325=0.846153*100=85 shirts
x-large: 125/175=0.714285*100=71 shirts
based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts
**A lady came to the market to sell eggs. Her first customer bought 1 2 of all her eggs and 1 2 of an egg. Her second customer bought 1 2 of all the remaining eggs and 1 2 of an egg. Finally, a third customer bought 1 2 of all of her remaining eggs and 1 2 of an egg. At this point she had sold all of the eggs she had brought to the market so she went home. How many eggs did the lady have when she first came to the market?
Answer:
She had 7 eggs when first went into the market
Step-by-step explanation:
Three times multiply 1/2 and minus 1/2 until you get zero.
7 x 1/2 - 1/2 = 3
3 x 1/2 - 1/2 = 1
1 x 1/2 - 1/2 = 0
Answer:
7
Step-by-step explanation:
Which system of equations does the graph represent?
A) y = 2x + 2
y = -3x + 4
B) y = x + 2
y = -x + 4
C) y = 2x + 4
y = -3x + 2
D) y = -x + 2
y = x + 4
Answer:
The answer is B) y= x + 2
y= - x + 4
-8y=-800
what is y?
Plz with the explanation...
Answer:
-100
Step-by-step explanation:
8*-100=-800
30% of what number is 3?
Answer:
10
Step-by-step explanation:
To find the number, divide 3 by 0.3
3/0.3
= 10
So, 30% of 10 is 3.
HELPPPPP ASAPPPPP PLSSSS
Please can anyone simplyfy that and can you tell the steps?
Step-by-step explanation:
Hope I did the way it was required! And helped you somehow!
A sweater priced at $34.99 is on sale for 25% off. Find the cost with 7.5% sales tax.
Answer:
25%=$8.74 7.5%=$2.62
Step-by-step explanation:
Help please I’ll give you 25 points
Answer:
=x3y+8
Step-by-step explanation:
solve for x and simplify -5/6x=-3
Answer:
x = 18/5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDAS Equality PropertiesStep-by-step explanation:
Step 1: Define equation
-5/6x = -3
Step 2: Solve for x
Divide both sides by -5/6: x = 18/5Step 3: Check
Plug in x to verify it's a solution.
Substitute: -5/6(18/5) = -3Multiply: -3 = -3Sandra's bird feeder holds 3/5 of a cup of birdseed. Sandra is filling the bird feeder with a scoop that holds 1/10 of a cup. How many scoops of birdseed will Sandra put into the feeder?
Plz hurry!!
Click the answer that shows the numbers in order from least to greatest.
A. 1.6, 0.9, 0.2, -0.8, -2.4
B. -0.8, -2.4, 0.2, 0.9, 1.6
C. -2.4, -0.8, 0.2, 0.9, 1.6
D. -0.8, 1.6, 0.9, -2.4, 0.2
Answer:
C is the correct answer
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8y – 4x = -56
What are similar triangles?
Answer:
two triangles that are similar, that have equal angles
Answer:
the triangle which has same shape,sixe and angles is called similar triangle
Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?
Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?
Answer:
She got an equally good deal both times
Step-by-step explanation:
[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
they are the same
need help please due soon!
How many sig figs does 602 200 000 000 000 000 000 000 molecules have ? Explain
Answer:
4
Step-by-step explanation:because 6022 is the sig figs, and 00000000000000000000 doesnt work because it is zero
ron wants to buy a video game with a selling price of $60, on sale for 50% off. The sales tax in 4.5% state is . How much will he have to pay in all? If has $34, can he afford to purchase the game?
Answer:
Yes, he can.
Step-by-step explanation:
To find the sale, you need to times the sale percentage by the original price so
60 x 0.50 = 30
Then you subtract the original price by the sale price so
60 - 30 = 30
So the with the sale, the price is $30.
Now the tax
Do the same
30 x 0.045 = 1.35
Now instead of subtracting you add so
30 + 1.35 = $31.35
Yes, he can afford it.