Answer: 33 plus 3x
Step-by-step explanation: simplified it
Answer:
The answer is 5x3+8x2+5x
Step-by-step explanation:
factorise: x^4– 5x^2 + 4
Answer:
(x - 2)(x - 1)(x + 1)(x + 2)
Step-by-step explanation:
[tex] {x}^{4} - 5 {x}^{2} + 4 \\ \\ = {x}^{4} - 4 {x}^{2} - {x}^{2} + 4 \\ \\ = {x}^{2} ( {x}^{2} - 4) - 1( {x}^{2} - 4) \\ \\ = ( {x}^{2} - 4)( {x}^{2} - 1) \\ \\ = (x + 2)(x - 2)(x + 1)(x - 1) \\ \\ = (x - 2)(x - 1)(x + 1)(x + 2)[/tex]
Answer:
[tex](x+1)(x-1)(x+2)(x-2)[/tex]
Step-by-step explanation:
To factorise [tex]x^4-5x^2+4[/tex] :
Let [tex]x^2=u[/tex]
[tex]\implies x^4-5x^2+4=u^2-5u+4[/tex]
Now factorise [tex]u^2-5u+4[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b[/tex]
[tex]\textsf{and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]\implies v=-1, w=-4[/tex]
[tex]\implies u^2-u-4u+4[/tex]
Break into groups
[tex]\implies (u^2-u)+(-4u+4)[/tex]
Factor each parentheses:
[tex]\implies u(u-1)-4(u-1)[/tex]
Factor out common term [tex](u-1)[/tex]:
[tex]\implies (u-1)(u-4)[/tex]
Substitute back [tex]u=x^2[/tex] :
[tex]\implies (x^2-1)(x^2-4)[/tex]
Factor both parentheses using the Difference of Two Squares: [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]\implies (x+1)(x-1)(x+2)(x-2)[/tex]
Therefore, the factorisation of [tex]x^4-5x^2+4[/tex] is
[tex](x+1)(x-1)(x+2)(x-2)[/tex]
How many apples could you buy if you went to the store with five dollars? *
Answer:
depends on how much the apples cost
Please help! will give brainlest! locks in 30 min!
Answer:
LAST CHOICE IS THE ANSWER.Step-by-step explanation:
#BRAINLIESTBUNCHAnswer:
[tex]-\sqrt{3}[/tex]
Step-by-step explanation:
tan (θ) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex]\frac{1}{2}[/tex]
tan (θ) = [tex]-\sqrt{3}[/tex]
hope this helps and is right!! p.s. i really need brainliest :)
solve pls brainliest
Answer:
decreased by 7
Step-by-step explanation:
Based off of the table after each day, the money left on the card decreases by 7 after each day
eg. On Monday there is $40 on the card. On Tuesday there is $33 on the card. The money on the card decreases by 7 from Monday to Tuesday. It continues to decrease by this constant amount as the days pass.
Answer:
With each day additional day, the amount left on the card decreased by $7
Step-by-step explanation:
After each day you could see that the amount of money was lower and if you subtracted Monday by Tuesday, Tuesday by Wednesday, Wednesday by Thursday, and Thursday by Friday, you could see that it fell $7 each time.
reduce into lowest terms
[tex] \frac{4}{6} [/tex]
[tex] \frac{10}{12} [/tex]
[tex] \frac{18}{24} [/tex]
Answer:
4/6
We know that, 4 can be written as:
4 = 2 × 2 and 6 = 2 × 3.
In both 2 is common so cancel it out we get, 2/3
Similarly,
10/12
10 = 2 × 5 and 12 = 2 × 2 × 3
2 common and cancel we get, 5/6
18/24
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
6 (2 × 3) is common. So, cancel we get, 3/4
in right triangle ABC, line CD is perpendicular to line AB, AD=9 cm DB=16 cm. Find CD and the area of triangle ABC
Answer:
8+8
Step-by-step explanation:
the answer to the whats C and D well c=8 and D=8
How many apples could you buy if you went to the store with five dollars?
Answer:5 apples
Step-by-step explanation:5x1=5
Is 3√2 a rational number?
Answer:
No
Step-by-step explanation:
Because sqrt 2 is not an integer
Answer:
3root2 is not a rational number
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 7 feet long, and the height of the equilateral triangle is 6.1 feet. The pyramid's slant height is 9 feet. What is its surface area?
Answer:
115.85
Step-by-step explanation:
Write the perimeter of the triangle as a simplified expression.
[tex]2x - 5 + 5 - x + 3x - 2 \\ 5x - x - 2 \\ 4x - 2[/tex]
Algebra Complete the table.Write the
expression that can be used to find the
missing value in the second row.
Step-by-step explanation:
In the second column, we can see that every value of n is being added by 6.
Thus, the expression is n + 6.Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.
When n is 12:
n + 6 = 1812 + 6 = 1818 = 18When n is 15:
n + 6 = 2115 + 6 = 2121 = 21When n is 21:
n + 6 = 2721 + 6 = 2727 = 27Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.
Finding n + 6 when n is 28:
n + 6 = x28 + 6 = x34 = xThus, the missing value in the table is 34.
please help
what is the equation for the following graph
A=1
Answer:
[tex]f(x)=\sqrt{x+5}-3[/tex]
Step-by-step explanation:
Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]
Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]
[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up
The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin
Therefore, this graph has been translated 5 units to the left and 3 units down.
Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]
Substituting these values into the given function:
[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]
[tex]\implies f(x)=\sqrt{x+5}-3[/tex]
I just need help with Part C
the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.
well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].
Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 pounds of Lily’s tea? a. $108. 70 b. $144. 93 c. $536. 77 d. $715. 69.
Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,
Pounds to Ounces
[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]
Grams to Ounces
[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]
Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,
[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]
Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.
Learn more about Units conversion:
https://brainly.com/question/4736731
A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many chairs are left? chairs
Answer:
137 chairs
Step-by-step explanation:
6*24=144.
144-7=137.
please mark as brainliest.
Here is the picture of the problem- Only 6th grade math
Answer:
h= 7/6 mm
Step-by-step explanation:
hello :
the area is : A= (b+B)×h/2
calculate h the height : 2A = (b+B)×h
so: h = 2A/(b+B)
you have : A=21/5 and b= 3 and B= 21/5
h= 2(21/5)/(3+21/5)
h= (42/5) /(36/5)
h= 42/36
h= 7/6 mm
A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.
What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?
The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³
Volume of a sphereThe globe is a sphere. Therefore, the volume is as follows:
volume = 4 / 3 πr³
where
r = 12 /2 = 6 inches
volume = 4 / 3 × π × 6³
volume = 864 / 3 π
volume = 288 × 3.14 = 904.32inches³
Volume of a cube
The box is a cube. Therefore,
volume = L³
where
L = lengthTherefore,
volume = 12³
volume = 1728 inches³
Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:
volume not taken up = 1728 - 904.32 = 823.68 inches³
learn more on volume here: https://brainly.com/question/15385003
Math homework, thanks
Answer:
X=79
Step-by-step explanation:
180-135=45
45+56=101
180-101=79
pls help ill give a hundred points. select the correct answer from the drop down menu A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)
A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)
Answer↷(5,-2)
Solution ↷we know that,
the midpoint of the diagonals of a rectangle bisect each other,
so,
MP of AC = MP of BD[tex] \huge \rightarrow \frac{x + 1}{2},\frac{y+ 3}{2} = \frac{5 + 1}{2},\frac{3 - 2}{2} \\ [/tex]
[tex] \huge \rightarrow \: x = 5 \: \\ \huge \rightarrow \: y = - 2[/tex]
Answer:
(5,-2)
Step-by-step explanation:
Cause me smart
10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?
40 min = 40/60 hr = 2/3 hr
Distance = x km
t=distance/speed
x/200+x/120=2/3
multiply by 6oo
3x+5x=400
8x=400
x = 400/8=50km
The journey is for 50km
pls giive brainliest\
Vat=13% Discount=20% Sp with vat=20340 Mp=? Vat amount=?
Answer:
Vat amount = Rs 2340
Mp = Rs 22500
please solve 5/4+( -4 1/3)=?
Step-by-step explanation:
[tex] \frac{5}{4} + ( - 4 \times \frac{1}{ 3} ) \\ \\ \frac{5}{4} - \frac{4}{3} \\ \\ \\ \frac{15 - 16}{12} \\ \\ \frac{1}{12 } [/tex]
A plumber charges $25 to come to a home, and $15 per hour for a repair. Which equation gives the total cost, y, for a repair that lasts x hours?
Answer:
15x + 25 = y
Step-by-step explanation:
$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y
How many solutions are there for the quadratic equation?
Y=x^2+12x+36
Show work
Answer:
1 solution
x = -6Explanation:
[tex]\rightarrow \sf y=x^2+12x+36[/tex]
[tex]\rightarrow \sf x^2+12x+36=0[/tex]
[tex]\rightarrow \sf x^2+6x+6x+36=0[/tex]
[tex]\rightarrow \sf x(x+6)+6(x+6)=0[/tex]
[tex]\rightarrow \sf (x+6)(x+6)=0[/tex]
[tex]\rightarrow \sf x=-6[/tex]
Hence there is only one solution for this quadratic equation and the value is -6
[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]
Only one solution present
x=-6
what numbers are missing from the pattern 1,14,21,28,?,?,?,?,28,21,14,7 ?
Answer:
ANSWER1,14,21,28,35,42,42,35,28,21,14,7
The morse code is "FOUR BEFORE DECIMAL" I need help with the math problem and how FOUR BEFORE DECIMAL fits into it
Answer:
the answer is 113.5
Step-by-step explanation:
rate brainliest!
Answer:
114
Step-by-step explanation:
3^5 = 243
4^2 = 16
(243 - 16) / (4 + (-2))
227/2 = 113.5
I think that the morse code phrase refers to rounding the answer
which comes to be...
114
Therefore the 4 is before the decimal
I am not entirely sure, but that is what I think it is
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Find the smallest number by which 6615 is to be multiplied by to get a perfect square
Answer:
3x 5
Step-by-step explanation:
Directions: Select all correct answers.
Select all situation representing independent events.
Question 7 options:
Spinning spinner two times.
Rolling a die and then flipping a coin.
Taking one candy out of a bag of candies, eating it, and then taking another candy.
Taking a card from a set of ten cards, replacing it, and then, taking another card.
Taking a sock from a drawer, placing it on your foot, and then picking another sock from the drawer.
Taking a card from a set of ten card, not replacing it, and then taking another card.
Answer:
Step-by-step explanation:
The owners of cami's carnival kept track of how many visitors they had each day last summer. this box plot shows the results. carnival visitors 50 70 90 110 130 150 what fraction of the days did the carnival have 70 or fewer visitors?
Answer: 1/3
Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile
5. The points used to model a parabola are (-3,0), (6,0) and (4,-5). Write an equation for this parabola.
Which form is most helpful and why?