a=2 b=3 and c=4. then,
a2+2abc+b2+c2
a2+2abc+b2+c2= 2^2+2×2×3×4+3^2+4^2
(replace value of a, b, c by2,3,4 respectively tgen solve)
= 4+48+9+16
= 77………………
Therefore, 77 is correct answer.
3. A sea gull was flying 4 feet above sea level when a fish below it jumped one foot out of the water. How far apart were the seagull and the (unlucky) fish?
Answer: 3ft difference
Step-by-step explanation:
Seagull = +4ft
Fish = +1ft (since it jumped 1ft above sea level)
4-1 = 3ft difference
Describe how many zeros this equation will have, and where they are.
(1 Point)
f (x) = -2x2 – 5x – 2
Answer:
Let y=x
2
−5x+6, when we substitute different values of x in the equation y=x
2
−5x+6 then value of y changes accordingly.
When x=0 then
y=(0)
2
−(5×0)+6=0−0+6=6
The point is (0,6)
When x=2 then
y=(2)
2
−(5×2)+6=4−10+6=10−10=0
The point is (2,0)
When x=3 then
y=(3)
2
−(5×3)+6=9−15+6=15−15=0
The point is (3,0)
Therefore, the coordinates are (0,6), (2,0) and (3,0) and the graph of the quadratic equation y=x
2
−5x+6 is as shown above.
Hence, from above graph, we get that x=2 or x=3.
solve for x, need help asap!
Let's solve for x using trigonometric relation ( Cos )
we know,
[tex] \cos(30 \degree) = \dfrac{base}{hypotenuse} = \dfrac{ \sqrt{3} }{2} [/tex]
now
[tex] \dfrac{x}{8} = \dfrac{ \sqrt{3} }{2} [/tex]
[tex]x = 8 \times \dfrac{ \sqrt{3} }{2} [/tex]
[tex]x = 4 \sqrt{3} [/tex]
hence, the value of x is [tex] 4 \sqrt{3} [/tex]
HELP PLS
Given the exponential function f(x) and the logarithmic function g(x), which of the following statements is true?
*Exponential function f of x equals 3 to the power of x minus 1 that increases to the right passing through the point 0 comma 0 and logarithmic function g of x equals log in base 3 of x minus 3 increasing from left to right passing through the point 1 comma negative 3
A. As x approaches infinity, f(x) approaches infinity, and g(x) approaches 0.
B. As x approaches infinity, f(x) approaches 2, and g(x) approaches 0.
C. As x approaches infinity, f(x) approaches 2, and g(x) approaches infinity.
D. As x approaches infinity, f(x) approaches infinity, and g(x) approaches infinity.
Answer:
As x→∞, f (x)→∞ and g(x)→∞.
Step-by-step explanation:
Looking at the graph there is no asymptote interrupting either f(x) or g(x) so when the graphs will continue on they will just approach infinity. Also just took this assessment and got a 100%.
7 divided by 345689
Answer:
Do you mean 345689/7 if so it equals this 49384.1428571. If you didn't and you mean 7/345689 it equals this. 0.00002024941
If 2/5 of a pole is 3:6,what will be the length of 5/9 of it?
Answer:
Ans : the length of 5/9 is 5m
Express the following as the sum of twin primes
a) 84
b)36
c)24
d)425
Answer:
answer it's c)24...
Step-by-step explanation:
i think helping you..... please tell correct or no...
how to find the sum of 12 and 36 using the gcf and distributive property
Please help
Solve the inequality.
1
x+ z
x+-3-3 or x - 3>-2
'
7.
x <
or x >[ ]
[?]
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Answer:
x ≤ -7/2 or x > 1
Step-by-step explanation:
To solve the left inequality for x, subtract 1/2 from both sides:
x ≤ -3 -1/2
x ≤ -7/2
__
To solve the right inequality for x, add 3 to both sides.
x > -2 +3
x > 1
what is the annual salary equivalent to a semimonthly salary of $834.08?
Answer:
$20,017.92
Step-by-step explanation:
Semimonthly means twice a month.
There are 12 months in a year.
12 x 2 = 24 (because they are payed twice a month)
24 x 834.08 = 20017.92
Consider the sequence of numbers 50,48,46,44….
(A) What are the next three numbers in this sequence?
(B) Using n to represent the position of a number in this sequence, write an expression that allows you to calculate the nth number.
(C) use your expression to find the 100th number in this sequence
Step-by-step explanation:
(A) 42,40
(B) T(n) = 50 + (n-1)(-2)
= 50+2-2n
= 52-2n
(C) T(100) = 52 - 2(100)
= 52- 200
= - 148
what is the equivalent ratio of 24 to 6
Answer:
1/4
Step-by-step explanation:
24/6
4
4+4+4+4+4+4
10) Pete is fast, Repeat is 3 times faster. If
Pete and Repeat can complete the job in
56 minutes, how fast is Pete? (I want
Pete's time only)
Answer:
14 minutes
Step-by-step explanation:
if Pete is x times fast then Repeat is 3x faster
so if both combine to complete a job in 56 minutes then we have
[tex]x + 3x = 56 \\ 4x = 56 \\ x = 14[/tex]
remember Pete is x hence Pete was 14 minutes fast
HELP ME PLS!!!!!!!!
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Answer:
$58
Step-by-step explanation:
James currently has $67 less than $125:
$125 -67 = $58
James currently has $58.
Plz help me with these with steps
Answer:
10. 9/40
11. $72
Step-by-step explanation:
10.
Step 1: Have the whole cake as 1,
[tex]1-\frac{1}{8} -\frac{2}{5} -\frac{1}{4}\\= 1 -\frac{5}{40}-\frac{16}{40}-\frac{10}{40} \\= \frac{9}{40}[/tex]
11.
Step 1: Find the remaning income left
[tex]1-\frac{5}{16}-\frac{1}{4}-\frac{1}{24} -\frac{1}{48} \\= \frac{3}{8} \\[/tex]
Step 2: Calculate the weekly income
3 units = $27
1 unit = $9
Weekly income = $9 * 8 = $72
Solve for y: -5(2y+3) +5=40
Answer:
Step-by-step explanation:
-5(2y + 3) +5 = 40
-10y - 15 + 5 = 40
-10y = 40 +15 - 5
-10y = 50
y =[tex]\frac{50}{-10\\}[/tex]
y = -5
A line passes through the point (-6,-9) and has a slope of . Write an equation in slope-intercept form for this line.
Answer:
y = [tex]\frac{5}{2}[/tex]x + 6
Step-by-step explanation:
what number divided by four equals three?
Answer:
12 divided by 4 equals 3
Step-by-step explanation:
which fractions is equivalent is 6/10
1.3/5
2.9/12
3.20/50
4.40/50
Answer:
1 as
3/5 × 2/2 = 6/10
Step-by-step explanation:
Hope it helps
Find the value of x 8/x=6/30
Answer:
x = 40
BRAINLIEST, PLEASE!
Step-by-step explanation:
8/x = 6/30
8/x = 1/5
x = 8/(1/5)
x = 8(5)
x = 40
An apartment building contains 250 apartments. There are 50 more 2-bedroom apartments than 1-bedroom apartments. How many apartments of each type are there
Answer:
100
Step-by-step explanation:
Answer:
100 1- bedroom and 150 2- bedroom
Step-by-step explanation:
let x be the number of 1- bedroom apartments , then
x + 50 is the number of 2- bedroom apartments , so
x + x + 50 = 250 ( subtract 50 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
There are 100 1- bedroom apartments and 100 + 50 = 150 2- bedroom
PLZZZ HELP ME
Solve the equation and check your solution.
1. 3(x+6)=18+3x
2. -2(x-1)=2-2x
3. x+4=-2+x
4. -2(x+2)=5-2x
Answer:
1. 0
2.0
3.2
4.1
Step-by-step explanation:
1.3x+18
2.-2x+2
3.x-x+4-2
5-2x-2+5-2x
Answer:
3x + 18 = 18 + 3x-2x + 2 = 2 - 2x4 = -2 (the statement is false)-4 = 5 (the statement is false)) A real estate agent sells a unit for $800 000. The commission rate is 2.75% of the selling price. Calculate the commission. (A) $25 000 (B) $27 750 (C) $220 000 (D) $22 000
Answer:
The answer is (D) $22 000
Step-by-step explanation:
800,000/100 = 8,000
I did this to show 1% of 800,000 is 8,000 (To find 1% of a number always divide it by 100)8,000*2.75=22,000
I did this because since I know 8,000 is 1% percent of the price I can times it by the percentage rate to find how much the commission is. Also note that there are other ways to solve this equation that may suit you better, this is the way I do it and I find it much more faster._____ - (-5) = -15
pls help
Answer:
[tex]x - ( - 5) = - 15 \\ x + 5 = - 15 \\ x = - 15 - 5 \\ x = - 20 \\ thank \: you[/tex]
Answer:
y-(-5)=-15
y+5=-15
y=-15-5
y=-20
brainiest to whoever right
Answer:
(x - 6)(x + 2)
Step-by-step explanation:
x^2 - 4x - 12
=x^2 - 6x + 2x - 12
=x( x - 6) + 2(x - 6)
=(x - 6)(x + 2)
Answer:
x^2 -4x-12
factorization of 12 =2×2×3 = 6×4
or in the place of 4x = we put (6-2)x
x^2-(6-2)x-12
x^2-6x+2x-12
x(x-6)+2(x-6)
(x-6) (x+2)
What length of cable, rounded to the nearest foot is needed to connect the top of a 60-foot tower to an anchor point 35 feet
from the base of the tower?
A) 73
B) 67
C)69
D)64
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Answer:
C) 69 ft
Step-by-step explanation:
The desired length is the hypotenuse of a right triangle with legs 35 and 60. It can be found using the Pythagorean theorem.
length = √(60² +35²) = √4825 ≈ 69.46
The length needed is about 69 feet.
Kelly said that 97/1000 can be written as 0.97 is correct? Explain.
Answer:
No
Step-by-step explanation:
To write 97/1000 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 97 by 1000 what we write down as 97/1000 and we get 0.097
And finally we have:
97/1000 as a decimal equals 0.097
1.2.PS-9
Which numbers are rational?
8
11
7, 3.41, 0,
2
-9
3'
Select all that apply.
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Answer:
all except π are rational numbers
Step-by-step explanation:
Any ratio of integers, terminating decimal, or repeating decimal is a rational number. Pi (π) is represented symbolically because it cannot be written exactly. It is an irrational number.
All of the numbers listed except π are rational.
For the following system of equations, determine how many solutions there are. y = 5(x − 4) and 4x + 12 = −y
Answer:
It has two solutions
Step-by-step explanation:
[tex]y = 5(x - 4)[/tex]
substitute for y in second equation:
[tex]4x + 12 = - y \\ 4x + 12 = - \{5(x - 4) \} \\ 4x + 12 = - 5x + 20 \\ 9x = 8 \\ x = \frac{8}{9} [/tex]
then for y:
[tex]y = 5(x - 4) \\ y = 5( \frac{8}{9} - 4) \\ \\ y = 5( - \frac{28}{9} ) \\ \\ y = - \frac{140}{9} [/tex]
At the zoo the polar bears are fed 0.1 bucket of fish a day.
The penguins are fed 0.83 that amount. How much of a
bucket are the penguins fed?
Answer:
0.083
Step-by-step explanation:
0.1 x 0.83 = 0.083
There are 0.083 bucket are the penguins fed.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
At the zoo the polar bears are fed 0.1 bucket of fish a day.
And, The penguins are fed 0.83 that amount.
Now,
Since, At the zoo the polar bears are fed 0.1 bucket of fish a day.
And, The penguins are fed 0.83 that amount.
Hence, The bucket are the penguins fed is,
⇒ 0.83 × 0.1
⇒ 0.083
Learn more about the multiplication visit:
brainly.com/question/10873737
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