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.
Mike went to the store and saw a tv for $124.79. He had a coupon for 25% off. After the discount, how much did Mike pay for the tv?
13 25 37 arthmetic progression
Answer:
Progression in increments of value 12
Step-by-step explanation:
13 25 37 49 61 73 85 97 .....
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Miss Hawaii
ANSWER PLEASE AND PLEASE SHOW WORKING
ONLY ANSWER IF UR ARE ANSWERING THE QUESTION PLEASE
Answer:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is -8 .
-7 + -1 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -1
x2 - 7x - 1x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
1 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-7)
Which is the desired factorization
Step-by-step explanation:
x = 7 or 1
When you translate (x-2, y + 6) the figure will move____?
a. 2 units right and 6 units right
b.2 units left and 6 units down
c.2 units left and 6 units up
d. 2 units left and 6 units right
A ship starts at sea level and then descends 20 feet in 4 1/2 minutes. How many feet did it descend per minute?
How many feet would it descend in 8 minutes?
Answer:
1. 4 1/2 can be converted into 4.30 / 20 = 0.125f per minute
2. it would descend 4.64 or 5f rounded in 8 minutes (8/0.125)
Answer:
4.45 feet p/m
35.56 feet per 8 minutes
Step-by-step explanation:
20 / (60x4.5) = 60 seconds = ( 1 x 4.5 minutes)
20/270=0.0740740741 1 = multiplier of feet/seconds
60 x 0.0740740741 1 =4.44444445 feet in one minute = 4.45feet
60 x 8 = 480 seconds (1 x 8 minutes)
480 x 0.0740740741 1 =35.5555556 feet
= 35.56feet in 8 minutes
Please Help Me! Look at the Image!
Answer:
y=-2x+1
Step-by-step explanation:
Just look at photo dap
g(x)=-3x+2 and g(x)=-1, find x
Answer:
x=1
Step-by-step explanation:
On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.
The height of the escalator is as calculated using trigonometric ratios.
We know that in a right angled triangle the trigonometric ratios are
tan θ = perpendicular ÷ base
For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .
Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.
Now using the trigonometric ratio of tanθ
tan θ = 2 / 3
Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .
Now, the height is given as h .
∴ tan θ = h / 90
or, 2 / 3 = h / 90
or, h = 60 feet
Therefore the height of the escalator is 60 feet.
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Yash can buy three pencils and have 49c change, or he can buy five pencils and
have 15c change.
(1) Write this information as an equation for x the cost in cents of one pencil.
(ii) How much money did Yash have to start with?
Answer:
(ii) 1 dollar
Step-by-step explanation:
each pencil costs 17 cents
- thus 3 pencils x 17c is 51c
1.00 dollars minus 0.51 is 49
- 5 pencils x 17c is equal to 85
1.00 dollars minus 0.85 is 15 c
alguien que me diga como se saca la X en ecuaciones cuadraticas porfaaaaaaaaa
Answer:
lol
Step-by-step explanation:
to get x in quadratic equations, factor it
John Paulo bought 10 plastic discs. Each disc weighs 0.9 ounces. How much do the 10 plastic discs weigh in all?
Answer:
9
Step-by-step explanation:
.9*10=10
it's basically simple multiplication with a decimal
Read the statement below and then select the idea that can be inferred from the statement.
Toxicity is high in cities. HELP FASSSSSSSST!!!!!
Environmental scientists help keep the air safe.
Temple University is near Philadelphia.
There is some lead in drinking water.
There are more factories in the city than in the country.
Ground soil can become poisoned with lead.
Answer: I would say 4
Step-by-step explanation:
Answer:
There are more factories in the city than in the country.
Step-by-step explanation:
Hope this helps!
Simplify this expression s square root 5 (13+ square root 2)
Answer:
65 + 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
5(13 + [tex]\sqrt{2}[/tex]) ← multiply each term in the parenthesis by 5
= 65 + 5[tex]\sqrt{2}[/tex]
Theo worked 3 2/3 hours and earned $28.60
How much would he make if he worked 6 1/3 hours?
Answer:
He would make $49.40
Step-by-step explanation:
28.60 divided by 3 2/3 is 7.80
Multiply that by 6 1/3 to get 49.40
Lines l and m are parallel. Find the value of x.
enter just the number
Answer:
its x
Step-by-step explanation:
The population in Smalltown in 2010 was 45,230 people and is growing exponentially at a rate of 2%. What will the population be in 2030?
A) 67,209
B) 67,475
C) 81,928
D) 82,414
Answer:
Let P(t) = population t years after 2010
= 45230e0.02t
Population in 2030 = P(20)
= 45230e0.4≈ 6747
Find the slope on the graph shown
Answer:
4/3
Step-by-step explanation:
Answer:
The answer is 4/3.
helppppppppppppppppppppppppppppppppppppppppppp
Answer:
hope you like my answer its 2/7
What is the correct standard form for 500 + 6 + 0.09 + 0.003.
Answer:
506.093
Step-by-step explanation:
One of the legs of a right triangle is twice as long as the other, and perimeter of the triangle is 28. Find the lengths of all three sides, to three decimal places
Step-by-step explanation:
One leg is x, the second leg is 2x and the hypotenuse is:
h = [tex]\sqrt{x^2+(2x)^2} =\sqrt{5x^2} =x\sqrt{5}[/tex]Perimeter is:
x + 2x + x√5 = 28x(3 + √5) = 28x = 28/(3 + √5) ≈ 5.348The sides are:
5.348, 2*5.348 = 10.6965.348*√5 = 11.9582x+4 divided by 4 =8
Answer:
X = 14
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Can someone tell me the answer to this please?
Answer choice C is incorrect
The distance across a two lane road
In the United States, the Interstate Highway standards for the Interstate Highway System use a 12 ft (3.7 m) standard lane width, while narrower lanes are used on lower classification roads. In Europe, laws and road widths vary by country; the minimum widths of lanes are generally between 2.5 to 3.25 m (98 to 128 in).
If 2x -3y = 3 then find 16x 64y =?
Answer:
0 is the answer on 16 x 64y
Answer:
1 x = 4 y= 2/3 = 1. 66667 see attached and join the lines to create shaded area.
Step-by-step explanation:
2x -3y = 3
16x (64y) = ?
we can multiply the 2x by 8 to find x = 16 and -3y = -24y and 3 = 24
as shown 2nd one.
16x + (64y) = c
16x -24y = 24 = 64y - 24y = c
40y = c - 24
40y/24 = y
1.66667 = y
y = 1.6667 or 1 2/3
2x -3 ( 1 2/3 ) = 3
2x - 5 = 3
2x = 8
x = 4
y = 1. 66657
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
Answer:
A
Step-by-step explanation:
The answer is A
The roots of the given quadratic equation are -
x = 2 and x = 1.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a quadratic function f(x) defined as -
f(x) = x³ - 3x² + 2
The given quadratic function f(x) is -
f(x) = x³ - 3x² + 2
We can write the roots of the equation as -
x = {3 ± √(9 - 8)}/2
x = {3 + √(9 - 8)}/2 and {3 - √(9 - 8)}/2
x = (3 + 1)/2 and x = (3 - 1)/2
x = 2 and x = 1
Therefore, the roots of the given quadratic equation are -
x = 2 and x = 1.
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i need to know what 26.6 divided by 7 is.
Answer:3.8
Step-by-step explanation:
Please Help Me
The ratio of the number of combinations (2n+2) of different objects taken n at a time to the number of combinations of (2n-2) of different objects taken n at a time is 99:7. Find the value of n.
The expected value of n is 1.152
The question states that ratio of 2n+2 and 2n-2 = 99:7. This means that
2n+2:2n-2 = 99:7, this also means that
[tex]\frac{2n+2}{2n-2}[/tex] = [tex]\frac{99}{7}[/tex]
If that is so, we can cross multiply so that
99 * (2n - 2) = 7 * (2n + 2), on expanding the bracket, we have
198n - 198 = 14n + 14
198n - 14n = 14 + 198
184n = 212, dividing both sides by 184, we have
n = 212/184
n = 1.152
Therefore, the value of n is 1.152
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hi Help pls will mark as brainlist!!!!!!!!!
Answer:
-1/10
Step-by-step explanation:
-7/24 by the reciprocal of 35/12
The reciproical of 35/12 is 12/35
-7/24 * 12/35
Rewriting
-7/35 * 12/24
-1/5 * 1/2
-1/10
The graph below could be the graph of which exponential function
Answer:
A
Step-by-step explanation:
The graph below could be the graph of A) F(x) = 2*[tex](0.7)^x[/tex] exponential function.
The graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is a decreasing exponential function. This is because the base of the exponent, 0.7, is between 0 and 1. As x increases, the value of [tex](0.7)^x[/tex] decreases, so the value of F(x) decreases.
The graphs of the other functions are all increasing exponential functions. This is because the bases of the exponents, 2, 5, and 1.4, are all greater than 1. As x increases, the value of [tex]2^x[/tex], [tex]5^x[/tex], and [tex]1.4^x[/tex] increases, so the value of the functions F(x) = 2 * [tex]2^x[/tex], F(x) = 2 * [tex]5^x[/tex], and F(x) = 2 * [tex]1.4^x[/tex] increases.
Therefore, the graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is the only graph that is decreasing. So the answer is A.
Here is a table that summarizes the properties of the graphs of the four functions:
Function Base of the exponent Graph
F(x) = 2 * [tex](0.7)^x[/tex] 0.7 (between 0 and 1) Decreasing
F(x) = [tex]2^x[/tex] 2 (greater than 1) Increasing
F(x) = 2 * [tex]5^x[/tex] 5 (greater than 1) Increasing
F(x) = 2 * [tex]1.4^x[/tex] 1.4 (greater than 1) Increasing
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what is the answer for this question
Answer:
5
Step-by-step explanation:
Answer:
5 centimeters
Step-by-step explanation:
leaf is 11cm, catepillar is 6.... 11-6=5