Answer:
(x-rooot1)(x-root2)
Step-by-step explanation:
a quadratic ax²+bx+c=0 can be factor as those 2 pharanthesis
(x-rooot1) (x-root2)=0
and you can find the roots by making each parenthesis equal to 0 because of the zero product rule
x-root1 = 0, x=root1
x-root2 =0, x=root2
A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).
Using the permutations formula, it is found that: 11,232,000 different license plates are possible
----------------------------------------------------
The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.
----------------------------------------------------
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
----------------------------------------------------
In this question:
3 letters from a set of 26.3 digits from a set of 10.Thus:
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]
11,232,000 different license plates are possible
A similar problem is given at https://brainly.com/question/16812463
Claire's car averages 21 miles per gallon of gas. At that rate, how far would it go on 21 gallons? *
Answer:Claire car will go 441 miles on 21 gallons
Step-by-step explanation: 21×21=441
The total bill of a meal at a restaurant is 25x – 115. Five
friends agree to split the cost of the meal equally. What
could you do to find the amount that each person must
pay? Explain.
Answer: Divide the whole equation by 5
Step-by-step explanation: You could divide the whole equation by 5 since there are 5 friends. Once you do that you end with the equation 5x - 23, which is what each friend would pay.
Answer:
Sample response: Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.
Step-by-step explanation: (you may want to reword it)
Can someone please explain to me how I got this wrong? The other options in the image are the ones under the questions and I'm rlly confused. Could anyone fully explain it please?
Answer: [tex]-\frac{p}{8}[/tex]
This is the fraction -p/8
====================================================
Explanation:
When we divide by -16, we're really multiplying by -1/16. Fractions and division are very similar ideas.
So we can say,
[tex]2p \div -16 = 2p \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p}{1} \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p(-1)}{1*16}\\\\2p \div -16 = \frac{-2p}{16}\\\\2p \div -16 = \frac{-2p}{2*8}\\\\2p \div -16 = -\frac{p}{8}\\\\[/tex]
The second to last step has a pair of '2's divide and cancel out.
-------------
Another way to think of it is to consider
[tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}[/tex]
The flip from division to multiplication has us apply the reciprocal of the second fraction. In this problem, we have a = 2p, b = 1, c = -16 and d = 1. The steps will be very similar if not identical to what is shown above.
What operation is being done to the variable in the equation -5m = -40?
It's being multiplied by -5.
It's being divided by -5.
It's being multiplied by -40.
It's being divided by -40.
Answer:
it is A
Step-by-step explanation:
Which equation below would be best solved by using the addition property of equally?
1-23-45
231-45
f. 23-45
1-23 - 45
Answer:
D
Step-by-step explanation:
Edge 2020 :)
Answer:
the answer is D
Step-by-step explanation:
Which of the following is equivalent to 8^(1/3)?
Option 1
Option 2
Option 3
Option 4
(look at photo for answers)
the answer is option 2....
Answer:
Option 2
Step-by-step explanation:
when the power appears as a fraction, take the root of the number based on the denominator of the fraction when numerator is equal to 1
11. Samuel's current salary is $30,000. He has been
promised a raise to $31,500 next year. His raise
will be what percent increase over his current
salary?
A. 3%
B. 3.5%
C. 4%
D. 5%
f(x) = 2x + 1
h(x) = one-halfx – one-half
h(x) = one-halfx + one-half
h(x) = one-halfx – 2
h(x) = one-halfx + 2
A wire 45 meters long is cut into two pieces, One piece is 5 meters longer than the other. What is the length of the two pieces? Create an equation and solve .
Given:
A wire 45 meters long is cut into two pieces
One piece is 5 meters longer than the other.
To find:
The length of the two pieces.
Solution:
Let length of one piece be x.
One piece is 5 meters longer than the other. So,
Length of another piece = x+5
Total length of wire is 45. So,
[tex]x+(x+5)=45[/tex]
[tex]2x+5=45[/tex]
Subtract 5 from both sides.
[tex]2x=45-5[/tex]
[tex]2x=40[/tex]
Divide both sides by 2.
[tex]x=\dfrac{40}{2}[/tex]
[tex]x=20[/tex]
Now,
Length of one piece = 20 meters
Length of another piece = 20 + 5
= 25 meters
Therefore, the length of two pieces are 20 and 25 meters.
What is the value of f(3) ?
Answer:
f(3)=-60
Step-by-step explanation:
f(3)=5*(3^2)-7(4*3 + 3)
f(3)=5*9 - 7*15
f(3)=45-105
f(3)=-60
Answer: -60
Step-by-step explanation:
f(3) means that you replace the input function of x with 3; So, your equation would look something like this:
5(3)^2 - 7(4(3) +3)
= 5(9) - 7(15)
= 45 - 105
= -60
Of two consecutive integers, four times the smaller is 30 more than three times the larger. Find both integers,
Answer:
33 and 34
Step-by-step explanation:
Let the integers be x and x+1 respectively.
4x = 3(x+1) + 30
x = 33
therefore, the integers are 33 and 34
This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
question in the picture!!
looking for the answer of 3) and 4) !!
<3
Answer:
3(percent): 75% 3(decimal): .75
4(percent):60% 4(fraction): 6/10 or 3/5, depending on wether or not you choose to simplify.
an equation of the line with a slope of 2/3 and y-intercept of −8.
Answer:
y = 2/3x - 8
Step-by-step explanation:
Use the slope intercept form, y = mx + b, where m is the slope and b is the y intercept
Plug in the slope and y intercept:
y = mx + b
y = 2/3x - 8
So, y = 2/3x - 8 is the equation of the line.
Fihding the Selling Price for a Given Profit
Soccer ball profit
y = -6x2 + 100x – 180
Suppose the store wants to earn a daily profit of
$150 from the sale of soccer balls. To earn this
profit, what price should the store charge for each
soccer ball? Explain how to solve this problem.
DONE
) Intro
6 of 8
Answer:
2.05 and 14.61
Step-by-step explanation:
On Edg
. When 12 is subtracted from 4 times a number, the result is 24. Which equation can be used to find the number?
Answer:
12 + 24 divided by 4
Step-by-step explanation:
12 + 24 is 36, so divide that by 4, that gives you the answer, which is 9
The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
When 12 is subtracted from 4 times a number, the result is 24.
Let the number be 'x'. Then the equation is given as,
12 - 4x = 24
Simplify the equation, then we have
12 - 4x = 24
- 4x = 24 - 12
- 4x = 12
4x = - 12
x = - 12 / 4
x = - 3
The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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PLEASE HELP
PART A
Diego deposited $10,000 for 4 years at a rate 6% simple interest. find the amount of interest Diego earned after 4 years.
PART B
If Diego closes his account after the 4 years, how much money will he have total?
Total Amount=
Answer:
Part A=2,400 Part B=12,400
Step-by-step explanation:
The amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Diego deposited $10,000 for 4 years at a rate 6% simple interest
We need to find the interest earned by Diego after 4 years.
Let us find what is 6% of 10000
Convert 6% to decimal value by dividing with 100.
6/100=0.06
Now multiply zero point zero six with 10000
0.06×10000
600
Noe for four years she earned
4×600
2400
2400 is the amount of interest Diego earned after 4 years.
Now let us find the money Diego have after 4 years.
Which is 10000+2400
12400
Hence the amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.
To learn more on Percentage click:
https://brainly.com/question/28269290
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January 30,2019 was the coldest day in minieapolis-St. Paul in over 20 years. The lowest tempeauture recorded that day was -28F. The warmest temperature was 15 higher
Answer:
The warmest temperature was -13FStep-by-step explanation:
We are expected to compute the warmest temperature recorded at Minneapolis
Step one:
We are told that on January 30th of 2019 was the coldest day at Minneapolis
hence the temperature reading= -28F------this is like 28 points away from 0 on the number line
Step two:
We are given that the warmest temperature recorded is 15F higher.
since the -ve sign represent cold or snowy weather, the warm temperature
is gotten by adding 15F to the negative temperature
=-28+15
= -13F
The warmest temperature was -13F
Enter an equation in standard form to model the linear situation. A bathtub that holds 23 gallons of water contains 13 gallons of water. You begin filling it, and after 5 minutes, the tub is full.
Answer:
2x - y = -13
Step-by-step explanation:
Esteban stands on a dock 1.25 yd above the water. A fish swims below Esteban at -4.61 yd from the surface of the water. How many yards apart are Esteban and the fish?
Answer:
3.36 yards
Step-by-step explanation:
✓From the question, Esteban stands on a dock 1.25 yd above the water which means the distance of Esteban above the water is 1.25 yd
✓A fish swims below Esteban at -4.61 yd from the surface of the water which means the distance of the fish away from the surface is 4.61 yd in opposite direction of Esteban
NOTE: The negative sign only signify direction of the fish which is opposite of Esteban
✓then the distance in yards apart of Esteban and the fish is
=4.61-1.25
=3.36 yards
Steph makes and sells birthday cakes. Each cake costs £54 to make.
She makes a profit of 15% on each cake.
What is the selling price of Steph's birthday cakes?
(2 marks)
£=
The selling price of Steph's birthday cakes such that the profit is 15% will be £62.1.
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 %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost per cake = £54
15% of £54 = 0.15 x 54 = £8.1
Selling price = £54 + £8.1 = £62.1
Hence "The selling price of Steph's birthday cakes such that the profit is 15% will be £62.1".
For more about the percentage,
brainly.com/question/13450942
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Does anyone know how to do it?
Answer:
x = -7º
x+59 = 52º
x+51 = 44º
Step-by-step explanation:
84 + (x+59) + (x+51) = 180º
180 - 84 = 96
x+59 + x+51 = 96
2x + 110 = 96
2x = -14
x = -7
proof:
-7+59 = 52º
-7+51 = 44º
the sum of angles in a triangle must be 180º so:
84 + 52 + 44 = 180
Answer:
∠A = 44°Step-by-step explanation:
84 + x + 59 + x + 51 = 180
2x = 180 - 84 - 59 - 51
x = -14/2
x = -7
∠A = x + 51
∠A = -7 + 51
∠A = 44°
1. The sum of two consecutive integers is 27. What are the two integers?|
Answer:
13 and 14
Step-by-step explanation:
Solve for x. 2/3(x−7)= −2
Enter your answer on the line.
x = __
Answer: easy x=4
Step-by-step explanation:
have a great thanksgiving
Answer:
The answer will be X=4
Step-by-step explanation: I know this because I just got done learning this stuff.
Please help me with this
Answer:
The answer is s = 1.
Step-by-step explanation:
Opposite sides of a parallelogram are equal so,
3s + 19 = s + 21
3s - s = 21 - 19
2s = 2
s = 1
next,
s + 21 =? 3s + 19
1 + 21 equal to (?) 3(1) + 19
22 = 22
so the answer is correct
Answer:
is the answer you add 19 + 21 give you 40
40
what is 3.14 times 5 divided by 7
Answer:
[tex] \huge{ \boxed{ \bold{ \boxed{ \tt{2.24}}}}}[/tex]
☥ Question : 3.14 times 5 divide by 7: [tex] \sf{3.14 \times \frac{5}{7 }} [/tex]
☥ Step by step explanation :[tex] \bold{ \sf{3.14 \times \frac{5}{7}}} [/tex]To multiply one fraction or number by another fraction , multiply the numerators for the numerator, and multiply the denominator for it's denominator.
➺ [tex] \bold{ \sf{ \frac{3.14 \times 5}{7}}} [/tex]
➺[tex] \bold{ \sf{ \frac{15.7}{7}}} [/tex]
➺[tex] \bold{ \boxed{ \sf{2.24}}}[/tex]
Hope I helped !
Have a wonderful time ! ッ
~TheAnimeGirl
how many minutes are there in one monty
Answer:
43200 minutes
Step-by-step explanation:
60×24×30=43200
Answer:
44,640??
Step-by-step explanation:
there is 24 hours a day multiply 24 to 31 answer is 744,
744× 60=44,640
WILL GIVE BRAINLY
A trail begins at an elevation of –50 feet below sea level. The trail ends at an elevation of 287 feet above sea level. By how many feet does the elevation of the trail change from beginning to end? PLEASE EXPLAIN
Answer:
237 is how much it changed
Step-by-step explanation:
all you do is 287 - 50 thats ur answer
Find the midpoint of segment AB if A(3, 2) and B(-1,4) Select one: O b (2, 1) O b. (1,3) O c. (2,6) O d. (2,3)
Answer:
B (1, 3)
Step-by-step explanation:
midpoint formula is m=(x1 + x2 / 2), (y1 + y2 / 2)
So the xs are 3 and -1 add them to get 2, divided by 2 is 1.
The ys are 2 and 4, which equal 6, divided by 2 is 3.
So (1, 3)
if a triangular sail has a vertical height of 83 ft and horizantal length of 40 ft, what is the area of the sail?
Answer:
A = 1660 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of the sail or a triangle is base times height
A = [tex]\frac{1}{2}[/tex](b x h)
Base is 40 ft (horizontal length)
Height is 83 ft (vertical height)
A = [tex]\frac{1}{2}[/tex](b x h)
A = [tex]\frac{1}{2}[/tex](40 x 83) = [tex]\frac{1}{2}[/tex](3320) = 1660 [tex]ft^{2}[/tex]