Step-by-step explanation:
1. 100a²-25b² [use : a²-b² formula : (a+b)(a-b)]
=> 25(4a²-b²)
=> 25(2a-b)(2a+b).
2. m³+125 [use : a³+b³ formula: (a+b)(a²-ab+b²]
=> m³+5³ => (m+5)(m²-5m+25).
3. 8a³-64b³ [use : a³-b³ formula: (a-b)(a²+ab+b²]
=> 8(a³-8b³) => 8(a-2b)(a²+2ab+b²)
4. x² - 8x + 12 [middle term breaking)
=> x²-2x-6x+12 => x(x-2)-6(x-2) => (x-2) (x-6)
5. b² - 6b - 27 [ middle term breaking]
=> b²-9b+3b-27 => b(b-9)+3(b-9) => (b-9)(b+3).
hope this helps you.
Suppose you are selling crafts at a craft show. It costs you
$100 to rent a table. Each item costs you $4 to make. You sell
them for $10 each. How many items must you sell to break
even?
The quantity of items you must sell to break even are = 17 items.
To rent a table = $100
The cost of each item = $4
You sold each item at prize = $10
Therefore the gain for each item = 10 - 4
= $6
Therefore, the quantity of items to sell to recover the cost from renting of the table is =
[tex] \frac{100}{6} [/tex]
= 16.6 items
which is approximately = 17 items.
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findthe classification schemes of a fungues
Step-by-step explanation:
The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.
help fast pleaseee
NO RANDOMS
Answer:
44.8
Step-by-step explanation:
Take the second number and subtract the first number
44.4 - (-.4)
Subtracting a negative is like adding
44.4 +.4
44.8
Answer:
[tex]D.44.8[/tex]
Step-by-step explanation:
The difference between two numbers can be obtained by subtracting the smaller number from the bigger number.
- 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4).
Tony can cycle a distance of 9 5/6 in 3/5 hours. What is his unit rate?
Answer:
19.66
Step-by-step explanation:
9.83 / 0.5
19.66
Sorry if it is not correct but I think that this is the corrcet answer.
What is the expression in factored form?
4x2 +11x+6
O (2x+3)(2x+2)
O (4x+1)(x+6)
O (2x+1)(2x+6)
(4x+3)(x+2)
Answer: (4x + 3) (x + 2)
Step-by-step explanation:
We can rewrite 4x² + 11x + 6 as 4x² + 8x + 3x + 6
Since 4x² + 11x + 6 = 4x² + 8x + 3x + 6
= (4x + 3) (x + 2)
The factors of the given expression [tex]4x^2 +11x+6[/tex] are (x+8) and (x+3).
A collection of constants, variables connected using one or more arithmetic operator is called an expression.
An algebraic expression or a number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.
The factors of the following expression can be calculated as:
[tex]4x^2 +11x+6[/tex] = [tex]x^2+ 8x+ 3x+24[/tex]
= x(x+8) +3(x+8)
= (x+8) (x+3)
Thus, the factors of the [tex]4x^2 +11x+6[/tex] are (x+8) (x+3)
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Mark has £5. A litre of milk costs 80p. He buys as many as he can. How much money will he have left
Answer:
He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.
Step-by-step explanation:
welcome
Bryan went to the hardware store and bought 5 identical copper pipes. When Bryan lined up the pipes end-to-end, the line was 1 meter long. How long was each pipe?
Answer:
hhehehehehheehehe
Step-by-step explanation:
hehehehehhee
pls help PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLD
Answer:
4a: 1
4b: 6, -6
Step-by-step explanation:
4a. (3 - 5)= -2; (9 - 6)=3
(-2 + 3) = 1
4b. We aren't told which cards Jesse pick up, only that they didn't affect his total points. Therefore, the two cards have the same number, but opposite signs. We coluld pick any teo an an example: 6 and -6, or 4 and -4, etc. They don't affect his score since they ccancel each other with a result of zero.
Name the angle pair relationship and solve for the given angle
Answer:
The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.
Step-by-step explanation:
Since the two angles are corresponding, they are equal.
7x-14 = 4x + 19
Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.
3x-14 = 19
Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.
3x = 33
Divide by 3.
x = 11
HELLP MEEEEEE
PLEASE
Answer:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Step-by-step explanation:
Quadratic equation:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The equation is:
[tex]4x^2 - 10x + 5 = 0\\[/tex]
So:
a = 4
b = -10
c = 5
Plug the variables into the quadratic equation:
[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - (4 * 4 * 5)} }{(2 * 4)}[/tex]
[tex]x = \frac{\sqrt{10 +- \sqrt{100 - 80} } }{8}[/tex]
[tex]x = \frac{10 + \sqrt{20} }{8}[/tex]
Divide both sides by 8:
10 ÷ 8 = [tex]\frac{5}{4}[/tex]
[tex]\sqrt{20}[/tex] ÷ 8 = [tex]\frac{\sqrt{5}}{4}[/tex]
[tex]\frac{5}{4}[/tex] +- [tex]\frac{\sqrt{5}}{4}[/tex]
This means that the solutions that satisfy the equation is:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Hope this helps!
Write an equation of the line with the given slope and y-intercept 1.slope=7;y-intercept=2 2.slope 1/3;y-intercept =-1
Answer:
1. y = 7x + 2
2. y = 1/3x - 1 or 3y = x - 3
Step-by-step explanation:
Use this formula y = mx + b where the slope is represent by "m" and the y-intercept is represent by "b"
1. y = mx + b
y = 7x + 2
2. y = mx + b
y = 1/3 x + (-1) Let clean this up by multiplying each term by 3
3y = 1x - 3 or 3y = x - 3
c = 3/4y + b, solve for b
Answer:
b = c - 3/4y
Step-by-step explanation:
move 3/4y to the other side with c:
c - 3/4y = b
b = c - 3/4y
138 cups of flour used in 46 dozen brownies. a
Answer:
whats the question?
Water drains from a 60 gallon bath tub at a constant rate. It empties in 5
minutes. What is the rate?
10 gal/ minute
-10 gal/ minute
-12 gal/ minute
-15 gal/ minute
Answer:
-12 gal / min
Step-by-step explanation:
[tex] \frac{ - 60 \: gallon}{5 \: minutes} = - \frac{60}{5} = - 12[/tex]
in the the picture below, EG has a length of (4x-8) and AB has a length of 24
A 5
B 2
C 12
D 8
Answer:
C
Step-by-step explanation:
1. Add 4x +8
the awswer would be 12x
2. subtract the 12x from the lenght which is 24
then your and will be 12
maths help me maths giving 10 point
help on this question.....
Answer:
25
Step-by-step explanation:
17 / 0.68 = 25
check your answer?
25 * 0.68 = 17
:)
Answer:
the answer is 26
Step-by-step explanation:
Im not sure how to do this
Answer:
see explanation
Step-by-step explanation:
Since the figures are similar then then corresponding sides are in proportion , that is
[tex]\frac{NP}{ST}[/tex] = [tex]\frac{NM}{SR}[/tex] , substitute values
[tex]\frac{x}{25}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )
30x = 450 ( divide both sides by 30 )
x = 15
Similarly
[tex]\frac{UT}{QP}[/tex] = [tex]\frac{NM}{SR}[/tex] , that is
[tex]\frac{y}{15}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )
30y = 270 ( divide both sides by 30 )
y = 9
The similarity ratio is the ratio of corresponding sides , that is
[tex]\frac{NM}{SR}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]
SRUT is [tex]\frac{3}{5}[/tex] of NMQP
What is the graph of the function f(x) = the quantity of x squared minus 7 x plus 12, all over x minus 3 ? (1 point);
Answer:
pic is answer
Step-by-step explanation:
8.8d + 9.65 = –3.01 + 7.2d + 1.46
d= -14 right ?
Answer:
d=-7
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
d=-23.934375
Step-by-step explanation:
RAMPS Rodney is rolling marbles down a ramp. Every second that passes, he measures how far the marbles travel. He records the information in the table shown below.
Make a conjecture about how far the marble will roll in the fifth second.
Using the principle of common difference , we can observe that the distance moved per roll increases by a constant amount of centimeters . Hence, the distance moved in the 5th roll is 180 cm
Setting up a proportional relationship :
Second = S Distance = dThe common difference between each roll can be obtained thus :
d2 - d1 = d3 - d2 = d4 - d3
60 - 20 = 100 - 60 = 140 - 100
40 = 40 = 40
Hence, the common difference = 40
The distance obtained on the fifth roll :
d(5) = d(4) + common difference
d(5) = 140 + 40
d(5) = 180
Therefore, the distance obtained on the fifth roll is 180 cm
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2. Find the value of x.
(1 point)
(5x)
(3x+28)
O 14
O20
O 12
O 19
Answer:
x = 14
Step-by-step explanation:
The triangle has 2 congruent legs and is isosceles with 2 base angles being congruent , then
5x = 3x + 28 ( subtract 3x from both sides )
2x = 28 ( divide both sides by 2 )
x = 14
HELP PLEASE!!!!!!!!!
9514 1404 393
Answer:
A) W'(-4, 2), ...
Step-by-step explanation:
Put the values of x and y in the translation relation to see what the translated point's coordinates are.
(x, y) ⇒ (x -7, y +4)
W(3, -2) ⇒ W'(3 -7, -2 +4) = W'(-4, 2) . . . . . . . . matches only choice A
I don't get this please help
There are 4 times as many dogs as cats if the total number of dogs and cats is 20
how many dogs are there
Answer:5
Step-by-step explanation: 4*5=20
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every
machine he sells. Write an equation that shows the total amount of income the salesperson
earns, if he sells x machines in a year.
Answer:
$40,000 + $300x
Step-by-step explanation:
If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.
Answer: $40,000 + $300x
find f'(x)of f(x)=x^2-6x
Answer:
[tex]f(x) = {x}^{2} - 6x \\ {f}^{'} (x) = 2x - 6 \\{f}^{'} (x) = 2(x - 3)[/tex]
-
7.5 ft
Find the perimeter of the semicircular region
Inverse operation for 6*8=48
if i fill the 42 L tank in my car and take a 360km trip. If my car consumes gasoline at a rate of 8 L per 100km how muck farther can i go before i run out of gasoline.
Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km
Consumption rate = 8L for 100 km
Km per Litre :
8L = 100km
1 L = m
8m = 100
m = (100 ÷ 8)
= 12.5 kilometer per Litre
Number of kilometers for 42 L
12.5 km = 1 L
m = 42 L
Cross multiply
m = 12.5 × 42
m = 525 km
The difference in the distance = 525 - 360 = 165 km
Therefore, the gas can go for a further 165 km
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