Answer:
8(x^2 − 22x + 128)
Step-by-step explanation:
8(x^2 − 22x + 128) Take 8 as a common factor
The equivalent expression that is most useful to find the year where the population is minimum is, 8(x-11)^2+56
What are quadratic equations?A quadratic equation is an algebraic expression of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a, b are the coefficients, x is the variable, and c is the constant term
Given an expression that represents the population from 1998 to 2018,
[tex]8x^2-176x+1024[/tex]
Let,
[tex]y=8x^2-176x+1024[/tex]
Which is an upward parabola,
Since, the minimum value of an upward parabola,
[tex]y=a(x-h)^2+k[/tex]
is find at x = h,
From equation (1),
[tex]y=8x^2-176x+1024[/tex]
[tex]y=8x^2-176x+968-968+1024[/tex]
[tex]y=8(x^2-22x+121)+56[/tex]
[tex]y=8(x-11)^2+56[/tex]
By comparing,
The population is minimum at x = 11. ( that is after 11 years since 1998 )
Hence, the equivalent expression that is most useful to find the year where the population is minimum is,8(x-11)^2+56
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Solve for x.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4r +4< 9x + 8
Answer:
x > 4r/9 - 4/9
Step-by-step explanation:
4r + 4 < 9x + 8
Subtract 8 on both sides.
4r + 4 - 8 < 9x + 8 - 8
4r + -4 < 9x
Divide 9 into both sides.
4r/9 - 4/9 < x
Switch sides.
x > 4r/9 - 4/9
Factorize the following :- 12y²_20y+3
Answer:
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
Step-by-step explanation:
[tex]12y^2-20y+3[/tex]
-20y can be written as -2y + -18y.
[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]
Factor out 2y from the first expression and factor out 3 from the second expression.
[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]
Factor out the common term 6y-1.
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2
Step-by-step explanation:
here first you have to find the perimeter of square
given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....
now you have the radius of the circle so by applying the formula of area of circle the answer will be finded
Please follow
Answer:
38.47 units²
Step-by-step explanation:
I got it right on the test...
Which polynomial is of the fourth degree?
1) a^6+a^5b+a^4b^2+a^3b^3
2) a^3b+a^2b+b^3
3) a^4+a^2b^3
4) 4a^3
Answer:
a^3b+a^2b+b^3
Step-by-step explanation:
A fourth degree polynomial has the highest power of degree 4 when you sum the powers in each term
) a^6+a^5b+a^4b^2+a^3b^3 degree 6
2) a^3b+a^2b+b^3 3+1 = 3 degree 4
3) a^4+a^2b^3 2+3 = degree 5
4) 4a^3 degree 3
erina12 please answe this i am on a live lesson
Answer:
Area = 105 cm^2
Step-by-step explanation:
Area = (9x6) + (6x6) + 0.5(5x6)
= 54+36+15
=105 cm^2
Best Regards!
Answer this, please. I'm having trouble or I'm just dumb.
Answer:
f(x)=(5+a)/(a-1)
Step-by-step explanation:
input a+2 for x
f(x)=(a+5)/(a-1)
and no ur not dumb u just need practice :D
Answer:
-4 and 1/7 is your answer.
Step-by-step explanation:
substitute 19 for x in the equation.[tex]f(x)=\frac{3}{19+2} -\sqrt{19-3}[/tex]
do the processes.[tex]f(x)=\frac{3}{21} -\sqrt{16}\\f(x)=-\frac{1}{7} -4\\f(x)= -4\frac{1}{7}[/tex]Evaluate each expression.
6! =
3!. 21 =
11
Answer:
here we work with factorials, so if we have a whole number N, then:
N! = N*(N-1)*.....*2*1
then, for the given expressions we have:
1) 6! = 6*5*4*3*2*1 = 720.
2) 3!*21 = (3*2*1)*21 = 216
3) and the last expression seems incomplete, i guess this is:
11! = 11*10*9*8*7*6*5*4*3*2*1 = 39,916,800
Please help me solve number 14 and 15
Answer:
Step-by-step explanation:
Similarity property,
" If the two triangles are similar then their corresponding sides will be proportional."
14). If ΔPQR ~ ΔUVW,
[tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}
[tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]
[tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex] [True}
Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]
15). If ΔFHE ~ ΔDHG,
[tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]
[tex]\frac{24}{6}=\frac{36}{9}[/tex]
4 = 4
Therefore, ΔFHE ~ ΔDHG [Theorem - AA]
Continue the following pattern; describe the eighth figure in this pattern a. 49 small squares forming a larger 8 by 8 square b. 64 small squares forming a larger 9 by 9 square c. 64 small squares forming a larger 8 by 8 square d. 49 small squares forming a larger 9 by 9 square
Answer:
c. 64 small squares forming a larger 8 by 8 square
Step-by-step explanation:
just count bro (; also I got it right
The eight figure in this pattern is,
⇒ 64 small squares forming a larger 8 by 8 square.
\
We have to given that,
The pattern of boxes are shown in image.
Now, From the given pattern,
Number of boxes are,
1, 4, , 9, 16, ..
It can be written as,
1, 2², 3², 4², ...
Hence, By continuing this process, we get;
The eight figure in this pattern is,
⇒ 8² = 64
Therefore, The correct option is,
⇒ 64 small squares forming a larger 8 by 8 square.
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a gram is equevalint to 0.0353 ounces one ounce is how may grams round to the nearest tenth
Answer:
28.3
Step-by-step explanation:
Since 1 gram = 353/10000 ounces, then to make the right side 1, you must multiply by the reciprocal, or 10000/353 to make it 1. Then you get 10000/353 grams = 1 ounce. Now, we divide and round to the nearest tenth. This is 28.3 grams.
Need some assistance
Answer:
D.
Step-by-step explanation:
The best and fastest way to do this is to plug this into your calc. Once you do so, you should get 2/5 as your answer.
after the expression (x16)3/4 is simplified as much as possible, x is raised to what exponent?
Answer:
12
Step-by-step explanation:
(x^16)^3/4
Apply the law of exponents where (a^b)^c = a^(bc).
x^(16*3/4)
Multiply.
x^(48/4)
Divide.
x^(12)
x is raised to the 12th power.
Help please.! What is the number of ways to arrange 5 objects from a set of 9 different
objects?
A. 126
B. 532
C. 19,310
D. 15,120
Answer:
15,120 ways
Step-by-step explanation:
9P5=9*8*7*6*5=15,120 ways
What are like terms in math no looking it up thx
Answer:
See belowStep-by-step explanation:
Terms are variables in math.
For example: 5x + 6y = is NOT like becuase x and y equal different things
4x + 2x = is like becuase x equals the same number in both
The reason we care about like terms is because we can simplify like terms.
4x + 2x simply equals 6x.
I'm always happy to help :)
a line is perpendicular to y = 3/7x - 2 and intersects the point (3,3). What is the equation of this perpendicular line?
Answer:
y = -7/3x + 10
Step-by-step explanation:
Step 1: Find the slope of the perpendicular line
Do this by taking the negative inverse of the first line
m = -7/3
Step 2: Find b
y = mx + b
y = -7/3x + b
3 = -7/3(3) + b
3 = -7 + b
b = 10
You should get y = -7/3x + 10 as your final answer.
If 10 + 5x is 12 more 8, what is the value of 3x?
Answer:
3x=6
Step-by-step explanation:
10 + 5x =8+12
10 +5x = 20
Subtract 10 from each side
10-10+5x=20-10
5x= 10
Divide by 5
5x/5 = 10/5
x = 2
We want 3x
3(2) = 6
3x=6
Answer:
6
Step-by-step explanation:
If 10 + 5x is 12 more than 8, what is the value of 3x? We can represent this with the equation below.
10+5x = 12+8.
Simplifying this gives us 10+5x = 20, then 5x = 10, then x = 2.
If x = 2, then 3x = 6.
At the zoo the polar bears are fed from 4 kg bucket of a fish day.If each bears eats 3 upon 5 from that bucket what amount of fish in grams is a bears feed
Answer:
2400 grams
Step-by-step explanation:
The bears are fed from a 4 kg bucket each day. If the bears eat 3/5 of that bucket, therefore, the amount of fish that the bears eat is:
3 / 5 * 4 = 2.4 kg
Converting this to grams:
1 kg = 1000 g
2.4 kg = 2.4 * 1000 = 2400 grams
The bears feed is 2400 grams
Molly, Paige and Demi share 42 sweets in the ratio 3 : 2:1
Work out the number of sweets that each of them receives.
Add the ratios: 3+2+1= 6
Divide total treats by total ratio:
42/6 = 7
Now multiply each separate ratio by that:
Molly = 3x7 = 21
Paige = 2x7 = 14
Demi = 1x7 = 7
Answer:
Molly gets 21, Paige gets 14 and Demi gets 7
Step-by-step explanation:
Total = 42
Ratio = 3:2:1
Total Parts = 3+2+1 = 6
Molly:
=> [tex]\frac{3}{6}*42[/tex]
=> 3*7
=> 21 sweets
Paige:
=> [tex]\frac{2}{6}*42[/tex]
=> 2*7
=> 14 sweets
Demi:
=> [tex]\frac{1}{6}*42[/tex]
=> 7 sweets
La batalla de Inglés y Matemáticas Pregunta: Tenía $ 5.00 Mi mamá me dio $ 10.00 mientras que mi papá me dio $ 30.00. Mi tía y mi tío me dieron 100.00. Tuve otros $ 5.00 ¿Cuánto dinero realmente tenía?
Answer:
$150.00
Step-by-step explanation:
Tenía $ 5.00
Mi mamá me dio $ 10.00 mientras que mi papá me dio $ 30.00.
Esto significa que luego tengo:
5 + 10 + 30 = $ 45.00
Mi tía y mi tío me dieron 100.00.
Entonces tuve:
45 + 100 = $ 145.00
Tenía otros $ 5.00.
Esto significa que en conjunto tuve:
145 + 5 = $ 150.00
PLZZZZZ HLPPPPPPPP MEEEEEEEEE fill in the blank a number: plane has a dimension of ______
Answer:
length and breadth so it has dimesions of 2
Answer:
Plane has a dimension of 2
Step-by-step explanation:
A plane is a flat, 2-D Surface.
For #1-2, model each expression. Then simplify the expression. Expression Model Simplified 1. 3(2x + 1) 2. 2(3x – 2) In #3-4, simplify the expression. Models are optional. 3. 4(x + 1) 4. –2(x + 3)
Answer:
see below
Step-by-step explanation:
1. 3(2x + 1)
Distribute
3 * 2x +3*1
6x+3
2. 2(3x – 2)
Distribute
2 * 3x - 2 *2
6x -4
3. 4(x + 1)
Distribute
4*x +4*1
4x+4
4. –2(x + 3)
Distribute
-2*x -2*3
-2x-6
Answer:
to be continued
Step-by-step explanation:
:-()
use the elimination method to solve 4x+8y=16 4x-8y=0
Answer:
x=2, y=1
Step-by-step explanation:
4x+8y=16
4x-8y=0
Add the two equations together:
8x=16
Divide both sides by 8:
x=2
Plug this back into one of the original equations to find y:
4(2)-8y=0
8-8y=0
y=1
Hope this helps!
Answer:
x, y = (0, 0)
Step-by-step explanation:
photo math broo
On a normally distributed anxiety test with mean 48 and standard deviation 4, approximately what anxiety test score would put someone in the top 5 percent?
Answer:
54.56
Step-by-step explanation:
Given:
Mean, u = 48
Standard deviation, [tex] \sigma[/tex] = 4
Test score = 5%
Required:
Find the raw score, X.
Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.
Thus, [tex] Z_0_._9_5 = 1.64[/tex]
To get X, use the formula:
[tex] mu + z * \sigma [/tex]
= 48 + (4 * 1.64)
= 48 + 6.56
= 54.56
The anxiety test score that would put someone in the top 5% is 54.56
Can somebody help me with this ?? :)
Answer: D
Step-by-step explanation:
it shows each points and that they are equal
Plzz help ,I’ll give so many points
Answer:
in total she would spend 27.90 so she should bring C i got this by doing 7.80 x 3 because she is buying 3 medium pizzas then i did 0.75 x 6 and got 27.90 so at least bring 25-30 dollars with her
Step-by-step explanation:
Lines M and P Are perpendicular if the slope of line m Is -3 what is the slope of line P
Answer:
1/3
Step-by-step explanation:
Opposite reciprocal slopes.
first person to help gets brainliest
Answer:
see explanation
Step-by-step explanation:
(a) (i)
a₁ = 17
a₂ = 17 - 3 = 14
a₃ = 14 - 3 = 11
------------------------------------------------
(ii)
a₁ = 3
a₂ = 5(3) + 2 = 15 + 2 = 17
a₃ = 5(17) + 2 = 85 + 2 = 87
-----------------------------------------------
(b)
There is a common difference d between consecutive terms , that is
d = 11 - 6 = 16 - 11 = 21 - 16 = 5
Thus indicates the sequence is arithmetic with n th term given by
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 5 , thus
[tex]a_{n}[/tex] = 6 + 5(n - 1) = 6 + 5n - 5 = 5n + 1
a room is 6 m long 5m wide and 4 m high. the doors and windows in the room occupy 4 square metres of space find the cost of papering the remaining portion of the walls with paper 75cm wide at the rate of 2.40 per metre
Answer:
273.6
Step-by-step explanation:
Surface area of the room
= 2(lb+bh+oh)
= 2(5*4+6*4+6*5)
= 2(20+24+30)
= 2*74
= 148 m^2
Area of door= 4m2
Remaining area = 148-4
= 114 m^2
Cost for 1m square= 2.40
Cost for 114m square= 2.40*114
= 273.6
Answer: Rs 460.80
Step-by-step explanation:
AREA OF ROOM
=2*(6*5)+2*(5*4)+2*(4*6) =60+40+49
=148M^2
WALL TO BE PAPERED
=(148 - 4) = 144M^2
PAPER TO BE USED=14400/75
= 192 PAPERS
COST= 192 x 2.40 = 460.8 RS
Type the expression that results from the following series of steps: Start with t, add 6, multiply by 2, then subtract 5.
Answer:
2(t + 6) - 5
Step-by-step explanation:
If we are strictly following the directions, we first add t and 6 together:
t + 6
Then we multiply by 2 AFTER we add the 2 together:
(t + 6)2
At last, we subtract 5 from everything after:
2(t + 6) - 5
And we have our answer!
Answer:
2(t+6)-5
Step-by-step explanation:
The unknown number is t
=> Adding 6 will make it t+6
=> Multiplying by 2 will make it 2(t+6)
=> Subtracting 5 will make it 2(t+6)-5
ares of a rectangular floor of your house is Ax+5x-2. if the length is x+2 units, find A
Answer:
A=4.
Step-by-step explanation:
Note: In the expression of area the first term should be [tex]Ax^2[/tex].
It is given that area of a rectangular floor of your house is [tex]Ax^2+5x-2[/tex] and the length is [tex](x+2)[/tex] units.
We know that, area of a rectangle is
[tex]Area=length\times width[/tex]
Since length of the rectangle is [tex](x+2)[/tex], therefore [tex](x+2)[/tex] is a factor of [tex]Ax^2+5x-2[/tex] and the value of [tex]Ax^2+5x-2[/tex] is 0 at x=-2.
[tex]A(-2)^2+5(-2)-2=0[/tex]
[tex]4A-10-2=0[/tex]
[tex]4A-12=0[/tex]
[tex]4A=12[/tex]
Divide both sides by 4.
[tex]A=4[/tex]
Therefore, the value of A is 4.
